%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP021_2 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:24:45 AM UTC 2026 % Result : Theorem 37.43s 37.67s % Output : Proof 37.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP021_2 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 04:03:28 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 37.43/37.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 37.43/37.67 --- Run --no-e-matching --full-saturate-quant at 6... % 37.43/37.67 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 37.43/37.67 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 37.43/37.67 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 37.43/37.67 % SZS status Theorem % 37.43/37.67 % SZS output start Proof % 37.43/37.67 ( % 37.43/37.67 (declare-sort tptp.tp__ty_2Eextreal_2Eextreal 0) % 37.43/37.67 (declare-sort tptp.tp__o 0) % 37.43/37.67 (declare-sort tptp.del 0) % 37.43/37.67 (declare-sort $$unsorted 0) % 37.43/37.67 (declare-const tptp.c_2Ebool_2E_21 (-> tptp.del $$unsorted)) % 37.43/37.67 (declare-const tptp.fo__c_2Ebool_2ET tptp.tp__o) % 37.43/37.67 (declare-const tptp.c_2Emin_2E_3D (-> tptp.del $$unsorted)) % 37.43/37.67 (declare-const tptp.fo__c_2Eextreal_2Eextreal__le (-> tptp.tp__ty_2Eextreal_2Eextreal tptp.tp__ty_2Eextreal_2Eextreal tptp.tp__o)) % 37.43/37.67 (declare-const tptp.c_2Ebool_2ET $$unsorted) % 37.43/37.67 (declare-const tptp.surj__ty_2Eextreal_2Eextreal (-> $$unsorted tptp.tp__ty_2Eextreal_2Eextreal)) % 37.43/37.67 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted)) % 37.43/37.67 (declare-const tptp.surj__o (-> $$unsorted tptp.tp__o)) % 37.43/37.67 (declare-const tptp.c_2Ebool_2ECOND (-> tptp.del $$unsorted)) % 37.43/37.67 (declare-const tptp.mem (-> $$unsorted tptp.del Bool)) % 37.43/37.67 (declare-const tptp.inj__o (-> tptp.tp__o $$unsorted)) % 37.43/37.67 (declare-const tptp.fo__c_2Ebool_2E_5C_2F (-> tptp.tp__o tptp.tp__o tptp.tp__o)) % 37.43/37.67 (declare-const tptp.i (-> tptp.del $$unsorted)) % 37.43/37.67 (declare-const tptp.inj__ty_2Eextreal_2Eextreal (-> tptp.tp__ty_2Eextreal_2Eextreal $$unsorted)) % 37.43/37.67 (declare-const tptp.bool tptp.del) % 37.43/37.67 (declare-const tptp.p (-> $$unsorted Bool)) % 37.43/37.67 (declare-const tptp.c_2Ebool_2E_7E $$unsorted) % 37.43/37.67 (declare-const tptp.c_2Emin_2E_3D_3D_3E $$unsorted) % 37.43/37.67 (declare-const tptp.arr (-> tptp.del tptp.del tptp.del)) % 37.43/37.67 (declare-const tptp.ty_2Eextreal_2Eextreal tptp.del) % 37.43/37.67 (declare-const tptp.c_2Ebool_2EF $$unsorted) % 37.43/37.67 (declare-const tptp.c_2Eextreal_2Eextreal__le $$unsorted) % 37.43/37.67 (declare-const tptp.c_2Eextreal_2Eextreal__max $$unsorted) % 37.43/37.67 (declare-const tptp.fo__c_2Eextreal_2Eextreal__max (-> tptp.tp__ty_2Eextreal_2Eextreal tptp.tp__ty_2Eextreal_2Eextreal tptp.tp__ty_2Eextreal_2Eextreal)) % 37.43/37.67 (declare-const tptp.c_2Ebool_2E_2F_5C $$unsorted) % 37.43/37.67 (declare-const tptp.fo__c_2Ebool_2EF tptp.tp__o) % 37.43/37.67 (declare-const tptp.fo__c_2Emin_2E_3D_3D_3E (-> tptp.tp__o tptp.tp__o tptp.tp__o)) % 37.43/37.67 (declare-const tptp.c_2Ebool_2E_5C_2F $$unsorted) % 37.43/37.67 (declare-const tptp.fo__c_2Ebool_2E_2F_5C (-> tptp.tp__o tptp.tp__o tptp.tp__o)) % 37.43/37.67 (declare-const tptp.k (-> tptp.del $$unsorted $$unsorted)) % 37.43/37.67 (declare-const tptp.fo__c_2Ebool_2E_7E (-> tptp.tp__o tptp.tp__o)) % 37.43/37.67 (define @t1 () (@var "B" tptp.del)) % 37.43/37.67 (define @t2 () (@var "X" $$unsorted)) % 37.43/37.67 (define @t3 () (@var "F" $$unsorted)) % 37.43/37.67 (define @t4 () (tptp.ap @t3 @t2)) % 37.43/37.67 (define @t5 () (tptp.mem @t4 @t1)) % 37.43/37.67 (define @t6 () (@var "A" tptp.del)) % 37.43/37.67 (define @t7 () (tptp.mem @t2 @t6)) % 37.43/37.67 (define @t8 () (@list @t2)) % 37.43/37.67 (define @t9 () (forall @t8 (=> @t7 @t5))) % 37.43/37.67 (define @t10 () (tptp.arr @t6 @t1)) % 37.43/37.67 (define @t11 () (tptp.mem @t3 @t10)) % 37.43/37.67 (define @t12 () (=> @t11 @t9)) % 37.43/37.67 (define @t13 () (@list @t6 @t1 @t3)) % 37.43/37.67 (define @t14 () (forall @t13 @t12)) % 37.43/37.67 (define @t15 () (@var "R" $$unsorted)) % 37.43/37.67 (define @t16 () (@var "Q" $$unsorted)) % 37.43/37.67 (define @t17 () (= @t16 @t15)) % 37.43/37.67 (define @t18 () (tptp.p @t15)) % 37.43/37.67 (define @t19 () (tptp.p @t16)) % 37.43/37.67 (define @t20 () (= @t19 @t18)) % 37.43/37.67 (define @t21 () (=> @t20 @t17)) % 37.43/37.67 (define @t22 () (tptp.mem @t15 tptp.bool)) % 37.43/37.67 (define @t23 () (@list @t15)) % 37.43/37.67 (define @t24 () (forall @t23 (=> @t22 @t21))) % 37.43/37.67 (define @t25 () (tptp.mem @t16 tptp.bool)) % 37.43/37.67 (define @t26 () (=> @t25 @t24)) % 37.43/37.67 (define @t27 () (@list @t16)) % 37.43/37.67 (define @t28 () (forall @t27 @t26)) % 37.43/37.67 (define @t29 () (@var "G" $$unsorted)) % 37.43/37.67 (define @t30 () (@var "Y" $$unsorted)) % 37.43/37.67 (define @t31 () (tptp.ap (tptp.i @t6) @t2)) % 37.43/37.67 (define @t32 () (=> @t7 (= @t31 @t2))) % 37.43/37.67 (define @t33 () (@list @t6 @t2)) % 37.43/37.67 (define @t34 () (forall @t33 @t32)) % 37.43/37.67 (define @t35 () (@var "X" tptp.tp__o)) % 37.43/37.67 (define @t36 () (tptp.inj__o @t35)) % 37.43/37.67 (define @t37 () (@list @t35)) % 37.43/37.67 (define @t38 () (forall @t37 (tptp.mem @t36 tptp.bool))) % 37.43/37.67 (define @t39 () (tptp.mem @t2 tptp.bool)) % 37.43/37.67 (define @t40 () (tptp.mem tptp.c_2Ebool_2ET tptp.bool)) % 37.43/37.67 (define @t41 () (tptp.inj__o tptp.fo__c_2Ebool_2ET)) % 37.43/37.67 (define @t42 () (tptp.p tptp.c_2Ebool_2ET)) % 37.43/37.67 (define @t43 () (@var "X" tptp.tp__ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t44 () (tptp.inj__ty_2Eextreal_2Eextreal @t43)) % 37.43/37.67 (define @t45 () (tptp.surj__ty_2Eextreal_2Eextreal @t44)) % 37.43/37.67 (define @t46 () (@list @t43)) % 37.43/37.67 (define @t47 () (forall @t46 (= @t45 @t43))) % 37.43/37.67 (define @t48 () (= @t2 (tptp.inj__ty_2Eextreal_2Eextreal (tptp.surj__ty_2Eextreal_2Eextreal @t2)))) % 37.43/37.67 (define @t49 () (tptp.mem @t2 tptp.ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t50 () (forall @t8 (=> @t49 @t48))) % 37.43/37.67 (define @t51 () (@var "X1" tptp.tp__ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t52 () (tptp.inj__ty_2Eextreal_2Eextreal @t51)) % 37.43/37.67 (define @t53 () (@var "X0" tptp.tp__ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t54 () (tptp.inj__ty_2Eextreal_2Eextreal @t53)) % 37.43/37.67 (define @t55 () (@list @t53 @t51)) % 37.43/37.67 (define @t56 () (forall @t55 (= (tptp.inj__o (tptp.fo__c_2Eextreal_2Eextreal__le @t53 @t51)) (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t54) @t52)))) % 37.43/37.67 (define @t57 () (@var "A_27a" tptp.del)) % 37.43/37.67 (define @t58 () (tptp.c_2Ebool_2ECOND @t57)) % 37.43/37.67 (define @t59 () (@list @t57)) % 37.43/37.67 (define @t60 () (tptp.arr tptp.ty_2Eextreal_2Eextreal tptp.ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t61 () (tptp.mem tptp.c_2Eextreal_2Eextreal__max (tptp.arr tptp.ty_2Eextreal_2Eextreal @t60))) % 37.43/37.67 (define @t62 () (forall @t55 (= (tptp.inj__ty_2Eextreal_2Eextreal (tptp.fo__c_2Eextreal_2Eextreal__max @t53 @t51)) (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__max @t54) @t52)))) % 37.43/37.67 (define @t63 () (tptp.mem tptp.c_2Ebool_2EF tptp.bool)) % 37.43/37.67 (define @t64 () (tptp.inj__o tptp.fo__c_2Ebool_2EF)) % 37.43/37.67 (define @t65 () (tptp.p tptp.c_2Ebool_2EF)) % 37.43/37.67 (define @t66 () (not @t65)) % 37.43/37.67 (define @t67 () (tptp.arr tptp.bool tptp.bool)) % 37.43/37.67 (define @t68 () (tptp.arr tptp.bool @t67)) % 37.43/37.67 (define @t69 () (@var "X1" tptp.tp__o)) % 37.43/37.67 (define @t70 () (tptp.inj__o @t69)) % 37.43/37.67 (define @t71 () (@var "X0" tptp.tp__o)) % 37.43/37.67 (define @t72 () (tptp.inj__o @t71)) % 37.43/37.67 (define @t73 () (@list @t71 @t69)) % 37.43/37.67 (define @t74 () (tptp.ap tptp.c_2Emin_2E_3D_3D_3E @t16)) % 37.43/37.67 (define @t75 () (tptp.p (tptp.ap @t74 @t15))) % 37.43/37.67 (define @t76 () (= @t75 (=> @t19 @t18))) % 37.43/37.67 (define @t77 () (forall @t23 (=> @t22 @t76))) % 37.43/37.67 (define @t78 () (=> @t25 @t77)) % 37.43/37.67 (define @t79 () (forall @t27 @t78)) % 37.43/37.67 (define @t80 () (tptp.ap tptp.c_2Ebool_2E_5C_2F @t16)) % 37.43/37.67 (define @t81 () (= (tptp.p (tptp.ap @t80 @t15)) (or @t19 @t18))) % 37.43/37.67 (define @t82 () (forall @t23 (=> @t22 @t81))) % 37.43/37.67 (define @t83 () (=> @t25 @t82)) % 37.43/37.67 (define @t84 () (forall @t27 @t83)) % 37.43/37.67 (define @t85 () (tptp.ap tptp.c_2Ebool_2E_2F_5C @t16)) % 37.43/37.67 (define @t86 () (= (tptp.p (tptp.ap @t85 @t15)) (and @t19 @t18))) % 37.43/37.67 (define @t87 () (forall @t23 (=> @t22 @t86))) % 37.43/37.67 (define @t88 () (=> @t25 @t87)) % 37.43/37.67 (define @t89 () (forall @t27 @t88)) % 37.43/37.67 (define @t90 () (not @t19)) % 37.43/37.67 (define @t91 () (= (tptp.p (tptp.ap tptp.c_2Ebool_2E_7E @t16)) @t90)) % 37.43/37.67 (define @t92 () (forall @t27 (=> @t25 @t91))) % 37.43/37.67 (define @t93 () (tptp.arr @t57 tptp.bool)) % 37.43/37.67 (define @t94 () (@var "V1t2" tptp.tp__o)) % 37.43/37.67 (define @t95 () (tptp.p (tptp.inj__o @t94))) % 37.43/37.67 (define @t96 () (@var "V0t1" tptp.tp__o)) % 37.43/37.67 (define @t97 () (tptp.p (tptp.inj__o @t96))) % 37.43/37.67 (define @t98 () (@var "V0t" tptp.tp__o)) % 37.43/37.67 (define @t99 () (tptp.p (tptp.inj__o @t98))) % 37.43/37.67 (define @t100 () (=> false @t99)) % 37.43/37.67 (define @t101 () (@list @t98)) % 37.43/37.67 (define @t102 () (not @t99)) % 37.43/37.67 (define @t103 () (=> @t99 false)) % 37.43/37.67 (define @t104 () (forall @t101 (= (not @t102) @t99))) % 37.43/37.67 (define @t105 () (@var "V0x" $$unsorted)) % 37.43/37.67 (define @t106 () (@var "V1y" $$unsorted)) % 37.43/37.67 (define @t107 () (@var "V1t2" $$unsorted)) % 37.43/37.67 (define @t108 () (@var "V0t1" $$unsorted)) % 37.43/37.67 (define @t109 () (tptp.ap (tptp.ap @t58 @t64) @t108)) % 37.43/37.67 (define @t110 () (tptp.ap @t109 @t107)) % 37.43/37.67 (define @t111 () (tptp.ap (tptp.ap @t58 @t41) @t108)) % 37.43/37.67 (define @t112 () (tptp.ap @t111 @t107)) % 37.43/37.67 (define @t113 () (and (= @t112 @t108) (= @t110 @t107))) % 37.43/37.67 (define @t114 () (tptp.mem @t107 @t57)) % 37.43/37.67 (define @t115 () (=> @t114 @t113)) % 37.43/37.67 (define @t116 () (@list @t107)) % 37.43/37.67 (define @t117 () (forall @t116 @t115)) % 37.43/37.67 (define @t118 () (tptp.mem @t108 @t57)) % 37.43/37.67 (define @t119 () (=> @t118 @t117)) % 37.43/37.67 (define @t120 () (@list @t57 @t108)) % 37.43/37.67 (define @t121 () (forall @t120 @t119)) % 37.43/37.67 (define @t122 () (@var "V2C" tptp.tp__o)) % 37.43/37.67 (define @t123 () (@var "V1B" tptp.tp__o)) % 37.43/37.67 (define @t124 () (tptp.p (tptp.inj__o @t123))) % 37.43/37.67 (define @t125 () (@var "V0A" tptp.tp__o)) % 37.43/37.67 (define @t126 () (tptp.p (tptp.inj__o @t125))) % 37.43/37.67 (define @t127 () (or @t126 @t124 (tptp.p (tptp.inj__o @t122)))) % 37.43/37.67 (define @t128 () (or @t126 @t124)) % 37.43/37.67 (define @t129 () (@list @t125 @t123)) % 37.43/37.67 (define @t130 () (not @t124)) % 37.43/37.67 (define @t131 () (not @t126)) % 37.43/37.67 (define @t132 () (not @t128)) % 37.43/37.67 (define @t133 () (@var "V2z" tptp.tp__ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t134 () (tptp.inj__ty_2Eextreal_2Eextreal @t133)) % 37.43/37.67 (define @t135 () (@var "V0x" tptp.tp__ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t136 () (tptp.inj__ty_2Eextreal_2Eextreal @t135)) % 37.43/37.67 (define @t137 () (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t136)) % 37.43/37.67 (define @t138 () (tptp.p (tptp.ap @t137 @t134))) % 37.43/37.67 (define @t139 () (@var "V1y" tptp.tp__ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t140 () (tptp.inj__ty_2Eextreal_2Eextreal @t139)) % 37.43/37.67 (define @t141 () (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t140)) % 37.43/37.67 (define @t142 () (tptp.p (tptp.ap @t141 @t134))) % 37.43/37.67 (define @t143 () (tptp.ap @t137 @t140)) % 37.43/37.67 (define @t144 () (tptp.p @t143)) % 37.43/37.67 (define @t145 () (and @t144 @t142)) % 37.43/37.67 (define @t146 () (forall (@list @t135 @t139 @t133) (=> @t145 @t138))) % 37.43/37.67 (define @t147 () (@list @t135 @t139)) % 37.43/37.67 (define @t148 () (forall @t147 (or @t144 (tptp.p (tptp.ap @t141 @t136))))) % 37.43/37.67 (define @t149 () (tptp.c_2Ebool_2ECOND tptp.ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t150 () (=> @t131 false)) % 37.43/37.67 (define @t151 () (@list @t125)) % 37.43/37.67 (define @t152 () (=> @t130 false)) % 37.43/37.67 (define @t153 () (=> @t126 false)) % 37.43/37.67 (define @t154 () (@var "V0p" tptp.tp__o)) % 37.43/37.67 (define @t155 () (tptp.p (tptp.inj__o @t154))) % 37.43/37.67 (define @t156 () (not @t155)) % 37.43/37.67 (define @t157 () (@var "V1q" tptp.tp__o)) % 37.43/37.67 (define @t158 () (tptp.p (tptp.inj__o @t157))) % 37.43/37.67 (define @t159 () (not @t158)) % 37.43/37.67 (define @t160 () (@var "V2r" tptp.tp__o)) % 37.43/37.67 (define @t161 () (tptp.p (tptp.inj__o @t160))) % 37.43/37.67 (define @t162 () (not @t161)) % 37.43/37.67 (define @t163 () (@list @t154 @t157 @t160)) % 37.43/37.67 (define @t164 () (or @t155 @t162)) % 37.43/37.67 (define @t165 () (or @t155 @t158)) % 37.43/37.67 (define @t166 () (@var "V0z" tptp.tp__ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t167 () (tptp.inj__ty_2Eextreal_2Eextreal @t166)) % 37.43/37.67 (define @t168 () (@var "V2y" tptp.tp__ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t169 () (tptp.inj__ty_2Eextreal_2Eextreal @t168)) % 37.43/37.67 (define @t170 () (@var "V1x" tptp.tp__ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t171 () (tptp.inj__ty_2Eextreal_2Eextreal @t170)) % 37.43/37.67 (define @t172 () (forall (@list @t166 @t170 @t168) (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__le (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__max @t171) @t169)) @t167)) (and (tptp.p (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t171) @t167)) (tptp.p (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t169) @t167)))))) % 37.43/37.67 (define @t173 () (@quantifiers_skolemize @t172 2)) % 37.43/37.67 (define @t174 () (@quantifiers_skolemize @t172 1)) % 37.43/37.67 (define @t175 () (tptp.fo__c_2Eextreal_2Eextreal__max @t174 @t173)) % 37.43/37.67 (define @t176 () (tptp.inj__ty_2Eextreal_2Eextreal @t175)) % 37.43/37.67 (define @t177 () (tptp.inj__ty_2Eextreal_2Eextreal @t173)) % 37.43/37.67 (define @t178 () (tptp.inj__ty_2Eextreal_2Eextreal @t174)) % 37.43/37.67 (define @t179 () (tptp.ap tptp.c_2Eextreal_2Eextreal__max @t178)) % 37.43/37.67 (define @t180 () (tptp.ap @t179 @t177)) % 37.43/37.67 (define @t181 () (= @t176 @t180)) % 37.43/37.67 (define @t182 () (@list @t174 @t173)) % 37.43/37.67 (define @t183 () (= @t180 @t176)) % 37.43/37.67 (define @t184 () (@list false)) % 37.43/37.67 (define @t185 () (@list @t62)) % 37.43/37.67 (define @t186 () (= @t2 @t31)) % 37.43/37.67 (define @t187 () (tptp.i tptp.bool)) % 37.43/37.67 (define @t188 () (= @t41 (tptp.ap @t187 @t41))) % 37.43/37.67 (define @t189 () (tptp.mem @t41 tptp.bool)) % 37.43/37.67 (define @t190 () (not @t189)) % 37.43/37.67 (define @t191 () (or @t190 @t188)) % 37.43/37.67 (define @t192 () (@list false false)) % 37.43/37.67 (define @t193 () (@quantifiers_skolemize @t172 0)) % 37.43/37.67 (define @t194 () (tptp.fo__c_2Eextreal_2Eextreal__le @t174 @t173)) % 37.43/37.67 (define @t195 () (tptp.inj__o @t194)) % 37.43/37.67 (define @t196 () (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t178)) % 37.43/37.67 (define @t197 () (tptp.ap @t196 @t177)) % 37.43/37.67 (define @t198 () (= @t195 @t197)) % 37.43/37.67 (define @t199 () (= @t197 @t195)) % 37.43/37.67 (define @t200 () (@list @t56)) % 37.43/37.67 (define @t201 () (tptp.fo__c_2Eextreal_2Eextreal__le @t173 @t193)) % 37.43/37.67 (define @t202 () (tptp.inj__o @t201)) % 37.43/37.67 (define @t203 () (tptp.inj__ty_2Eextreal_2Eextreal @t193)) % 37.43/37.67 (define @t204 () (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t177)) % 37.43/37.67 (define @t205 () (tptp.ap @t204 @t203)) % 37.43/37.67 (define @t206 () (= @t202 @t205)) % 37.43/37.67 (define @t207 () (@list @t173 @t193)) % 37.43/37.67 (define @t208 () (= @t205 @t202)) % 37.43/37.67 (define @t209 () (@var "BOUND_VARIABLE_7958" $$unsorted)) % 37.43/37.67 (define @t210 () (= @t16 @t209)) % 37.43/37.67 (define @t211 () (tptp.p @t209)) % 37.43/37.67 (define @t212 () (not (tptp.mem @t209 tptp.bool))) % 37.43/37.67 (define @t213 () (not @t25)) % 37.43/37.67 (define @t214 () (= @t211 @t90)) % 37.43/37.67 (define @t215 () (or @t213 @t212 @t214 @t210)) % 37.43/37.67 (define @t216 () (or @t212 @t214 @t210)) % 37.43/37.67 (define @t217 () (or @t213 @t216)) % 37.43/37.67 (define @t218 () (@list @t16 @t209)) % 37.43/37.67 (define @t219 () (forall @t218 @t217)) % 37.43/37.67 (define @t220 () (@list @t209)) % 37.43/37.67 (define @t221 () (forall @t220 @t217)) % 37.43/37.67 (define @t222 () (forall @t220 @t216)) % 37.43/37.67 (define @t223 () (@list @t15)) % 37.43/37.67 (define @t224 () (or @t213 @t222)) % 37.43/37.67 (define @t225 () (not @t22)) % 37.43/37.67 (define @t226 () (forall @t23 (or @t225 (= @t18 @t90) @t17))) % 37.43/37.67 (define @t227 () (= @t90 @t18)) % 37.43/37.67 (define @t228 () (or @t225 @t227 @t17)) % 37.43/37.67 (define @t229 () (not @t39)) % 37.43/37.67 (define @t230 () (forall @t8 (or @t229 (tptp.p (tptp.ap tptp.c_2Ebool_2E_7E @t2))))) % 37.43/37.67 (define @t231 () (@quantifiers_skolemize @t230 0)) % 37.43/37.67 (define @t232 () (tptp.p (tptp.ap tptp.c_2Ebool_2E_7E @t41))) % 37.43/37.67 (define @t233 () (tptp.p @t41)) % 37.43/37.67 (define @t234 () (not @t233)) % 37.43/37.67 (define @t235 () (or @t190 (= @t232 @t234))) % 37.43/37.67 (define @t236 () (forall @t27 (or @t213 @t91))) % 37.43/37.67 (define @t237 () (@list @t41)) % 37.43/37.67 (define @t238 () (= @t234 @t232)) % 37.43/37.67 (define @t239 () (or @t190 @t238)) % 37.43/37.67 (define @t240 () (not @t232)) % 37.43/37.67 (define @t241 () (or @t190 @t232)) % 37.43/37.67 (define @t242 () (not @t241)) % 37.43/37.67 (define @t243 () (@list false true)) % 37.43/37.67 (define @t244 () (not @t230)) % 37.43/37.67 (define @t245 () (@list true)) % 37.43/37.67 (define @t246 () (tptp.p (tptp.ap tptp.c_2Ebool_2E_7E @t231))) % 37.43/37.67 (define @t247 () (tptp.mem @t231 tptp.bool)) % 37.43/37.67 (define @t248 () (not @t247)) % 37.43/37.67 (define @t249 () (or @t248 @t246)) % 37.43/37.67 (define @t250 () (not @t249)) % 37.43/37.67 (define @t251 () (@list @t249)) % 37.43/37.67 (define @t252 () (tptp.p @t231)) % 37.43/37.67 (define @t253 () (not @t252)) % 37.43/37.67 (define @t254 () (= @t246 @t253)) % 37.43/37.67 (define @t255 () (or @t248 @t254)) % 37.43/37.67 (define @t256 () (not @t254)) % 37.43/37.67 (define @t257 () (@list true false)) % 37.43/37.67 (define @t258 () (= @t234 @t252)) % 37.43/37.67 (define @t259 () (not @t258)) % 37.43/37.67 (define @t260 () (= @t41 @t231)) % 37.43/37.67 (define @t261 () (or @t190 @t248 @t258 @t260)) % 37.43/37.67 (define @t262 () (@list false false true false)) % 37.43/37.67 (define @t263 () (@var "BOUND_VARIABLE_8194" $$unsorted)) % 37.43/37.67 (define @t264 () (and (= @t108 (tptp.ap @t111 @t263)) (= @t263 (tptp.ap @t109 @t263)))) % 37.43/37.67 (define @t265 () (not (tptp.mem @t263 @t57))) % 37.43/37.67 (define @t266 () (not @t118)) % 37.43/37.67 (define @t267 () (or @t265 @t264)) % 37.43/37.67 (define @t268 () (or @t266 @t267)) % 37.43/37.67 (define @t269 () (forall (@list @t57 @t108 @t263) @t268)) % 37.43/37.67 (define @t270 () (@list @t263)) % 37.43/37.67 (define @t271 () (forall @t270 @t268)) % 37.43/37.67 (define @t272 () (forall @t270 @t267)) % 37.43/37.67 (define @t273 () (or @t266 @t272)) % 37.43/37.67 (define @t274 () (and (= @t108 @t112) (= @t107 @t110))) % 37.43/37.67 (define @t275 () (forall @t116 (or (not @t114) @t274))) % 37.43/37.67 (define @t276 () (@list @t173)) % 37.43/37.67 (define @t277 () (@list @t174)) % 37.43/37.67 (define @t278 () (tptp.ap @t149 @t64)) % 37.43/37.67 (define @t279 () (tptp.ap @t278 @t177)) % 37.43/37.67 (define @t280 () (tptp.ap @t279 @t178)) % 37.43/37.67 (define @t281 () (= @t178 @t280)) % 37.43/37.67 (define @t282 () (tptp.ap @t149 @t41)) % 37.43/37.67 (define @t283 () (tptp.ap @t282 @t177)) % 37.43/37.67 (define @t284 () (tptp.ap @t283 @t178)) % 37.43/37.67 (define @t285 () (= @t177 @t284)) % 37.43/37.67 (define @t286 () (and @t285 @t281)) % 37.43/37.67 (define @t287 () (tptp.mem @t178 tptp.ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t288 () (not @t287)) % 37.43/37.67 (define @t289 () (tptp.mem @t177 tptp.ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t290 () (not @t289)) % 37.43/37.67 (define @t291 () (or @t290 @t288 @t286)) % 37.43/37.67 (define @t292 () (@list false false false)) % 37.43/37.67 (define @t293 () (not @t286)) % 37.43/37.67 (define @t294 () (@list @t286)) % 37.43/37.67 (define @t295 () (tptp.p @t202)) % 37.43/37.67 (define @t296 () (not @t295)) % 37.43/37.67 (define @t297 () (tptp.mem @t202 tptp.bool)) % 37.43/37.67 (define @t298 () (not @t297)) % 37.43/37.67 (define @t299 () (or @t298 @t190 (= @t296 @t233) (= @t202 @t41))) % 37.43/37.67 (define @t300 () (forall @t218 (or @t213 @t212 (= @t90 @t211) @t210))) % 37.43/37.67 (define @t301 () (= @t41 @t202)) % 37.43/37.67 (define @t302 () (= @t233 @t296)) % 37.43/37.67 (define @t303 () (or @t298 @t190 @t302 @t301)) % 37.43/37.67 (define @t304 () (@list @t300)) % 37.43/37.67 (define @t305 () (tptp.p @t205)) % 37.43/37.67 (define @t306 () (tptp.ap @t196 @t203)) % 37.43/37.67 (define @t307 () (tptp.p @t306)) % 37.43/37.67 (define @t308 () (and @t307 @t305)) % 37.43/37.67 (define @t309 () (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t180)) % 37.43/37.67 (define @t310 () (tptp.p (tptp.ap @t309 @t203))) % 37.43/37.67 (define @t311 () (= @t310 @t308)) % 37.43/37.67 (define @t312 () (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t176)) % 37.43/37.67 (define @t313 () (tptp.ap @t312 @t203)) % 37.43/37.67 (define @t314 () (tptp.fo__c_2Eextreal_2Eextreal__le @t175 @t193)) % 37.43/37.67 (define @t315 () (tptp.inj__o @t314)) % 37.43/37.67 (define @t316 () (= @t315 @t313)) % 37.43/37.67 (define @t317 () (tptp.p @t315)) % 37.43/37.67 (define @t318 () (and @t310 @t183 @t316)) % 37.43/37.67 (define @t319 () (= @t234 @t317)) % 37.43/37.67 (define @t320 () (not @t317)) % 37.43/37.67 (define @t321 () (= @t41 @t315)) % 37.43/37.67 (define @t322 () (tptp.mem @t315 tptp.bool)) % 37.43/37.67 (define @t323 () (not @t322)) % 37.43/37.67 (define @t324 () (or @t190 @t323 @t319 @t321)) % 37.43/37.67 (define @t325 () (@list @t174 @t193)) % 37.43/37.67 (define @t326 () (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t203)) % 37.43/37.67 (define @t327 () (tptp.p (tptp.ap @t326 @t178))) % 37.43/37.67 (define @t328 () (or @t307 @t327)) % 37.43/37.67 (define @t329 () (tptp.fo__c_2Eextreal_2Eextreal__le @t174 @t193)) % 37.43/37.67 (define @t330 () (tptp.inj__o @t329)) % 37.43/37.67 (define @t331 () (= @t330 @t306)) % 37.43/37.67 (define @t332 () (= @t306 @t330)) % 37.43/37.67 (define @t333 () (tptp.p @t330)) % 37.43/37.67 (define @t334 () (not @t333)) % 37.43/37.67 (define @t335 () (not @t332)) % 37.43/37.67 (define @t336 () (not @t307)) % 37.43/37.67 (define @t337 () (and @t336 @t332)) % 37.43/37.67 (define @t338 () (not @t142)) % 37.43/37.67 (define @t339 () (not @t144)) % 37.43/37.67 (define @t340 () (tptp.ap @t326 @t177)) % 37.43/37.67 (define @t341 () (tptp.p @t340)) % 37.43/37.67 (define @t342 () (tptp.p @t197)) % 37.43/37.67 (define @t343 () (not @t342)) % 37.43/37.67 (define @t344 () (not @t327)) % 37.43/37.67 (define @t345 () (or @t344 @t343 @t341)) % 37.43/37.67 (define @t346 () (@list @t193 @t173)) % 37.43/37.67 (define @t347 () (tptp.fo__c_2Eextreal_2Eextreal__le @t193 @t173)) % 37.43/37.67 (define @t348 () (tptp.inj__o @t347)) % 37.43/37.67 (define @t349 () (tptp.p @t348)) % 37.43/37.67 (define @t350 () (not @t349)) % 37.43/37.67 (define @t351 () (= @t348 @t340)) % 37.43/37.67 (define @t352 () (not @t351)) % 37.43/37.67 (define @t353 () (not @t341)) % 37.43/37.67 (define @t354 () (and @t351 @t353)) % 37.43/37.67 (define @t355 () (tptp.p @t195)) % 37.43/37.67 (define @t356 () (not @t355)) % 37.43/37.67 (define @t357 () (not @t199)) % 37.43/37.67 (define @t358 () (and @t199 @t343)) % 37.43/37.67 (define @t359 () (tptp.p @t64)) % 37.43/37.67 (define @t360 () (not @t359)) % 37.43/37.67 (define @t361 () (= @t360 @t349)) % 37.43/37.67 (define @t362 () (not @t361)) % 37.43/37.67 (define @t363 () (not @t360)) % 37.43/37.67 (define @t364 () (= @t349 @t356)) % 37.43/37.67 (define @t365 () (not @t364)) % 37.43/37.67 (define @t366 () (= @t64 @t348)) % 37.43/37.67 (define @t367 () (tptp.mem @t348 tptp.bool)) % 37.43/37.67 (define @t368 () (not @t367)) % 37.43/37.67 (define @t369 () (tptp.mem @t64 tptp.bool)) % 37.43/37.67 (define @t370 () (not @t369)) % 37.43/37.67 (define @t371 () (or @t370 @t368 @t361 @t366)) % 37.43/37.67 (define @t372 () (= @t195 @t348)) % 37.43/37.67 (define @t373 () (tptp.mem @t195 tptp.bool)) % 37.43/37.67 (define @t374 () (not @t373)) % 37.43/37.67 (define @t375 () (or @t374 @t368 (= @t356 @t349) @t372)) % 37.43/37.67 (define @t376 () (or @t374 @t368 @t364 @t372)) % 37.43/37.67 (define @t377 () (@list @t174 @t174)) % 37.43/37.67 (define @t378 () (= @t178 (tptp.ap (tptp.ap @t282 @t178) @t178))) % 37.43/37.67 (define @t379 () (and @t378 (= @t178 (tptp.ap (tptp.ap @t278 @t178) @t178)))) % 37.43/37.67 (define @t380 () (or @t288 @t288 @t379)) % 37.43/37.67 (define @t381 () (tptp.fo__c_2Eextreal_2Eextreal__le @t174 @t174)) % 37.43/37.67 (define @t382 () (tptp.inj__o @t381)) % 37.43/37.67 (define @t383 () (tptp.ap @t196 @t178)) % 37.43/37.67 (define @t384 () (tptp.p @t383)) % 37.43/37.67 (define @t385 () (or @t384 @t384)) % 37.43/37.67 (define @t386 () (@list @t148)) % 37.43/37.67 (define @t387 () (tptp.p @t382)) % 37.43/37.67 (define @t388 () (= @t234 @t387)) % 37.43/37.67 (define @t389 () (not @t388)) % 37.43/37.67 (define @t390 () (not @t387)) % 37.43/37.67 (define @t391 () (= @t41 @t382)) % 37.43/37.67 (define @t392 () (tptp.mem @t382 tptp.bool)) % 37.43/37.67 (define @t393 () (not @t392)) % 37.43/37.67 (define @t394 () (or @t190 @t393 @t388 @t391)) % 37.43/37.67 (define @t395 () (not @t372)) % 37.43/37.67 (define @t396 () (not @t366)) % 37.43/37.67 (define @t397 () (not @t281)) % 37.43/37.67 (define @t398 () (not @t391)) % 37.43/37.67 (define @t399 () (not @t378)) % 37.43/37.67 (define @t400 () (tptp.ap @t149 @t197)) % 37.43/37.67 (define @t401 () (tptp.ap @t400 @t177)) % 37.43/37.67 (define @t402 () (tptp.ap @t401 @t178)) % 37.43/37.67 (define @t403 () (tptp.mem @t402 tptp.ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t404 () (= @t382 @t383)) % 37.43/37.67 (define @t405 () (not @t404)) % 37.43/37.67 (define @t406 () (not @t403)) % 37.43/37.67 (define @t407 () (not @t406)) % 37.43/37.67 (define @t408 () (= false true)) % 37.43/37.67 (define @t409 () (tptp.ap @t149 @t383)) % 37.43/37.67 (define @t410 () (tptp.ap @t409 @t178)) % 37.43/37.67 (define @t411 () (tptp.ap @t410 @t178)) % 37.43/37.67 (define @t412 () (tptp.mem @t411 tptp.ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t413 () (and @t372 @t281 @t391 @t378 @t199 @t366 @t406 @t404 @t287)) % 37.43/37.67 (define @t414 () (and @t351 @t341)) % 37.43/37.67 (define @t415 () (= @t234 @t349)) % 37.43/37.67 (define @t416 () (= @t41 @t348)) % 37.43/37.67 (define @t417 () (or @t190 @t368 @t415 @t416)) % 37.43/37.67 (define @t418 () (@list @t173 @t173)) % 37.43/37.67 (define @t419 () (tptp.fo__c_2Eextreal_2Eextreal__max @t173 @t173)) % 37.43/37.67 (define @t420 () (tptp.inj__ty_2Eextreal_2Eextreal @t419)) % 37.43/37.67 (define @t421 () (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__max @t177) @t177)) % 37.43/37.67 (define @t422 () (= @t420 @t421)) % 37.43/37.67 (define @t423 () (= @t421 @t420)) % 37.43/37.67 (define @t424 () (tptp.ap @t283 @t177)) % 37.43/37.67 (define @t425 () (= @t177 @t424)) % 37.43/37.67 (define @t426 () (and @t425 (= @t177 (tptp.ap @t279 @t177)))) % 37.43/37.67 (define @t427 () (or @t290 @t290 @t426)) % 37.43/37.67 (define @t428 () (tptp.mem @t421 tptp.ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t429 () (tptp.surj__ty_2Eextreal_2Eextreal @t421)) % 37.43/37.67 (define @t430 () (= @t421 (tptp.inj__ty_2Eextreal_2Eextreal @t429))) % 37.43/37.67 (define @t431 () (not @t428)) % 37.43/37.67 (define @t432 () (or @t431 @t430)) % 37.43/37.67 (define @t433 () (tptp.fo__c_2Eextreal_2Eextreal__le @t173 @t173)) % 37.43/37.67 (define @t434 () (tptp.inj__o @t433)) % 37.43/37.67 (define @t435 () (= @t434 @t382)) % 37.43/37.67 (define @t436 () (tptp.p @t434)) % 37.43/37.67 (define @t437 () (not @t436)) % 37.43/37.67 (define @t438 () (tptp.mem @t434 tptp.bool)) % 37.43/37.67 (define @t439 () (not @t438)) % 37.43/37.67 (define @t440 () (or @t439 @t393 (= @t437 @t387) @t435)) % 37.43/37.67 (define @t441 () (= @t387 @t437)) % 37.43/37.67 (define @t442 () (or @t439 @t393 @t441 @t435)) % 37.43/37.67 (define @t443 () (tptp.ap @t204 @t177)) % 37.43/37.67 (define @t444 () (tptp.p @t443)) % 37.43/37.67 (define @t445 () (or @t444 @t444)) % 37.43/37.67 (define @t446 () (not @t441)) % 37.43/37.67 (define @t447 () (not @t416)) % 37.43/37.67 (define @t448 () (not @t285)) % 37.43/37.67 (define @t449 () (not @t435)) % 37.43/37.67 (define @t450 () (tptp.mem @t420 tptp.ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t451 () (not @t450)) % 37.43/37.67 (define @t452 () (not @t425)) % 37.43/37.67 (define @t453 () (not @t423)) % 37.43/37.67 (define @t454 () (not @t430)) % 37.43/37.67 (define @t455 () (tptp.surj__ty_2Eextreal_2Eextreal (tptp.ap (tptp.ap (tptp.ap @t149 @t443) @t177) @t177))) % 37.43/37.67 (define @t456 () (= @t429 @t455)) % 37.43/37.67 (define @t457 () (not @t456)) % 37.43/37.67 (define @t458 () (= @t434 @t443)) % 37.43/37.67 (define @t459 () (not @t458)) % 37.43/37.67 (define @t460 () (tptp.surj__ty_2Eextreal_2Eextreal @t177)) % 37.43/37.67 (define @t461 () (= @t173 @t460)) % 37.43/37.67 (define @t462 () (not @t461)) % 37.43/37.67 (define @t463 () (tptp.inj__ty_2Eextreal_2Eextreal @t455)) % 37.43/37.67 (define @t464 () (and @t425 @t461 @t285 @t456 @t450 @t391 @t458 @t199 @t406 @t435 @t430 @t372 @t423 @t416)) % 37.43/37.67 (define @t465 () (= @t360 @t355)) % 37.43/37.67 (define @t466 () (not @t465)) % 37.43/37.67 (define @t467 () (= @t64 @t195)) % 37.43/37.67 (define @t468 () (or @t370 @t374 @t465 @t467)) % 37.43/37.67 (define @t469 () (not @t467)) % 37.43/37.67 (define @t470 () (and @t287 @t378 @t391 @t404 @t281 @t467 @t199 @t406)) % 37.43/37.67 (define @t471 () (= @t359 @t334)) % 37.43/37.67 (define @t472 () (not @t471)) % 37.43/37.67 (define @t473 () (tptp.surj__ty_2Eextreal_2Eextreal @t402)) % 37.43/37.67 (define @t474 () (tptp.inj__ty_2Eextreal_2Eextreal @t473)) % 37.43/37.67 (define @t475 () (= @t402 @t474)) % 37.43/37.67 (define @t476 () (or @t406 @t475)) % 37.43/37.67 (define @t477 () (tptp.mem @t330 tptp.bool)) % 37.43/37.67 (define @t478 () (not @t477)) % 37.43/37.67 (define @t479 () (or @t478 @t370 (= @t334 @t359) (= @t330 @t64))) % 37.43/37.67 (define @t480 () (= @t64 @t330)) % 37.43/37.67 (define @t481 () (or @t478 @t370 @t471 @t480)) % 37.43/37.67 (define @t482 () (forall @t8 (or (not @t49) @t48))) % 37.43/37.67 (define @t483 () (= @t64 (tptp.ap @t187 @t64))) % 37.43/37.67 (define @t484 () (or @t370 @t483)) % 37.43/37.67 (define @t485 () (@list @t174 @t175)) % 37.43/37.67 (define @t486 () (tptp.inj__ty_2Eextreal_2Eextreal (tptp.fo__c_2Eextreal_2Eextreal__max @t174 @t193))) % 37.43/37.67 (define @t487 () (tptp.ap @t179 @t203)) % 37.43/37.67 (define @t488 () (= @t486 @t487)) % 37.43/37.67 (define @t489 () (= @t487 @t486)) % 37.43/37.67 (define @t490 () (= @t41 @t64)) % 37.43/37.67 (define @t491 () (not @t490)) % 37.43/37.67 (define @t492 () (and @t233 @t490 @t360)) % 37.43/37.67 (define @t493 () (@list @t359 @t233)) % 37.43/37.67 (define @t494 () (@var "BOUND_VARIABLE_7931" $$unsorted)) % 37.43/37.67 (define @t495 () (tptp.mem (tptp.ap @t3 @t494) @t1)) % 37.43/37.67 (define @t496 () (not (tptp.mem @t494 @t6))) % 37.43/37.67 (define @t497 () (not @t11)) % 37.43/37.67 (define @t498 () (or @t496 @t495)) % 37.43/37.67 (define @t499 () (or @t497 @t498)) % 37.43/37.67 (define @t500 () (forall (@list @t6 @t1 @t3 @t494) @t499)) % 37.43/37.67 (define @t501 () (@list @t494)) % 37.43/37.67 (define @t502 () (forall @t501 @t499)) % 37.43/37.67 (define @t503 () (forall @t501 @t498)) % 37.43/37.67 (define @t504 () (or @t497 @t503)) % 37.43/37.67 (define @t505 () (forall @t8 (or (not @t7) @t5))) % 37.43/37.67 (define @t506 () (tptp.mem @t179 @t60)) % 37.43/37.67 (define @t507 () (not @t61)) % 37.43/37.67 (define @t508 () (or @t507 @t288 @t506)) % 37.43/37.67 (define @t509 () (tptp.mem @t487 tptp.ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t510 () (tptp.mem @t203 tptp.ty_2Eextreal_2Eextreal)) % 37.43/37.67 (define @t511 () (not @t510)) % 37.43/37.67 (define @t512 () (not @t506)) % 37.43/37.67 (define @t513 () (or @t512 @t511 @t509)) % 37.43/37.67 (define @t514 () (tptp.surj__ty_2Eextreal_2Eextreal @t487)) % 37.43/37.67 (define @t515 () (tptp.inj__ty_2Eextreal_2Eextreal @t514)) % 37.43/37.67 (define @t516 () (= @t487 @t515)) % 37.43/37.67 (define @t517 () (not @t509)) % 37.43/37.67 (define @t518 () (or @t517 @t516)) % 37.43/37.67 (define @t519 () (= @t178 (tptp.ap (tptp.ap @t278 @t203) @t178))) % 37.43/37.67 (define @t520 () (and (= @t203 (tptp.ap (tptp.ap @t282 @t203) @t178)) @t519)) % 37.43/37.67 (define @t521 () (or @t511 @t288 @t520)) % 37.43/37.67 (define @t522 () (tptp.ap tptp.c_2Ebool_2E_5C_2F @t64)) % 37.43/37.67 (define @t523 () (forall @t8 (or @t229 (tptp.p (tptp.ap @t522 @t2))))) % 37.43/37.67 (define @t524 () (@quantifiers_skolemize @t523 0)) % 37.43/37.67 (define @t525 () (@list @t64 @t524)) % 37.43/37.67 (define @t526 () (@var "BOUND_VARIABLE_8065" $$unsorted)) % 37.43/37.67 (define @t527 () (= (tptp.p (tptp.ap @t80 @t526)) (or @t19 (tptp.p @t526)))) % 37.43/37.67 (define @t528 () (not (tptp.mem @t526 tptp.bool))) % 37.43/37.67 (define @t529 () (or @t213 @t528 @t527)) % 37.43/37.67 (define @t530 () (or @t528 @t527)) % 37.43/37.67 (define @t531 () (or @t213 @t530)) % 37.43/37.67 (define @t532 () (@list @t16 @t526)) % 37.43/37.67 (define @t533 () (forall @t532 @t531)) % 37.43/37.67 (define @t534 () (@list @t526)) % 37.43/37.67 (define @t535 () (forall @t534 @t531)) % 37.43/37.67 (define @t536 () (forall @t534 @t530)) % 37.43/37.67 (define @t537 () (or @t213 @t536)) % 37.43/37.67 (define @t538 () (forall @t23 (or @t225 @t81))) % 37.43/37.67 (define @t539 () (tptp.p (tptp.ap @t522 @t64))) % 37.43/37.67 (define @t540 () (or @t359 @t359)) % 37.43/37.67 (define @t541 () (= @t539 @t540)) % 37.43/37.67 (define @t542 () (or @t370 @t370 @t541)) % 37.43/37.67 (define @t543 () (forall @t532 @t529)) % 37.43/37.67 (define @t544 () (@list @t64 @t64)) % 37.43/37.67 (define @t545 () (= @t359 @t539)) % 37.43/37.67 (define @t546 () (or @t370 @t370 @t545)) % 37.43/37.67 (define @t547 () (not @t539)) % 37.43/37.67 (define @t548 () (or @t370 @t539)) % 37.43/37.67 (define @t549 () (not @t548)) % 37.43/37.67 (define @t550 () (@list @t64)) % 37.43/37.67 (define @t551 () (not @t523)) % 37.43/37.67 (define @t552 () (tptp.p (tptp.ap @t522 @t524))) % 37.43/37.67 (define @t553 () (tptp.mem @t524 tptp.bool)) % 37.43/37.67 (define @t554 () (not @t553)) % 37.43/37.67 (define @t555 () (or @t554 @t552)) % 37.43/37.67 (define @t556 () (not @t555)) % 37.43/37.67 (define @t557 () (@list @t555)) % 37.43/37.67 (define @t558 () (tptp.p @t524)) % 37.43/37.67 (define @t559 () (or @t359 @t558)) % 37.43/37.67 (define @t560 () (= @t552 @t559)) % 37.43/37.67 (define @t561 () (or @t370 @t554 @t560)) % 37.43/37.67 (define @t562 () (not @t559)) % 37.43/37.67 (define @t563 () (not @t558)) % 37.43/37.67 (define @t564 () (= @t360 @t558)) % 37.43/37.67 (define @t565 () (not @t564)) % 37.43/37.67 (define @t566 () (@list true true)) % 37.43/37.67 (define @t567 () (= @t64 @t524)) % 37.43/37.67 (define @t568 () (or @t370 @t554 @t564 @t567)) % 37.43/37.67 (define @t569 () (tptp.ap tptp.c_2Emin_2E_3D_3D_3E @t41)) % 37.43/37.67 (define @t570 () (forall @t8 (or @t229 (tptp.p (tptp.ap @t569 @t2))))) % 37.43/37.67 (define @t571 () (@quantifiers_skolemize @t570 0)) % 37.43/37.67 (define @t572 () (@var "BOUND_VARIABLE_8043" $$unsorted)) % 37.43/37.67 (define @t573 () (= (tptp.p (tptp.ap @t74 @t572)) (or @t90 (tptp.p @t572)))) % 37.43/37.67 (define @t574 () (not (tptp.mem @t572 tptp.bool))) % 37.43/37.67 (define @t575 () (or @t574 @t573)) % 37.43/37.67 (define @t576 () (or @t213 @t575)) % 37.43/37.67 (define @t577 () (forall (@list @t16 @t572) @t576)) % 37.43/37.67 (define @t578 () (@list @t572)) % 37.43/37.67 (define @t579 () (forall @t578 @t576)) % 37.43/37.67 (define @t580 () (forall @t578 @t575)) % 37.43/37.67 (define @t581 () (or @t213 @t580)) % 37.43/37.67 (define @t582 () (forall @t23 (or @t225 (= @t75 (or @t90 @t18))))) % 37.43/37.67 (define @t583 () (or @t234 @t359)) % 37.43/37.67 (define @t584 () (tptp.p (tptp.ap @t569 @t64))) % 37.43/37.67 (define @t585 () (= @t584 @t583)) % 37.43/37.67 (define @t586 () (or @t190 @t370 @t585)) % 37.43/37.67 (define @t587 () (not @t583)) % 37.43/37.67 (define @t588 () (not @t584)) % 37.43/37.67 (define @t589 () (or @t370 @t584)) % 37.43/37.67 (define @t590 () (not @t589)) % 37.43/37.67 (define @t591 () (not @t570)) % 37.43/37.67 (define @t592 () (tptp.p (tptp.ap @t569 @t571))) % 37.43/37.67 (define @t593 () (tptp.mem @t571 tptp.bool)) % 37.43/37.67 (define @t594 () (not @t593)) % 37.43/37.67 (define @t595 () (or @t594 @t592)) % 37.43/37.67 (define @t596 () (not @t595)) % 37.43/37.67 (define @t597 () (@list @t595)) % 37.43/37.67 (define @t598 () (tptp.p @t571)) % 37.43/37.67 (define @t599 () (or @t234 @t598)) % 37.43/37.67 (define @t600 () (= @t592 @t599)) % 37.43/37.67 (define @t601 () (or @t190 @t594 @t600)) % 37.43/37.67 (define @t602 () (not @t599)) % 37.43/37.67 (define @t603 () (= @t360 @t598)) % 37.43/37.67 (define @t604 () (not @t603)) % 37.43/37.67 (define @t605 () (= @t64 @t571)) % 37.43/37.67 (define @t606 () (or @t370 @t594 @t603 @t605)) % 37.43/37.67 (define @t607 () (tptp.fo__c_2Ebool_2E_2F_5C tptp.fo__c_2Ebool_2EF tptp.fo__c_2Ebool_2EF)) % 37.43/37.67 (define @t608 () (tptp.inj__o @t607)) % 37.43/37.67 (define @t609 () (@var "BOUND_VARIABLE_8087" $$unsorted)) % 37.43/37.67 (define @t610 () (= (tptp.p (tptp.ap @t85 @t609)) (and @t19 (tptp.p @t609)))) % 37.43/37.67 (define @t611 () (not (tptp.mem @t609 tptp.bool))) % 37.43/37.67 (define @t612 () (or @t213 @t611 @t610)) % 37.43/37.67 (define @t613 () (or @t611 @t610)) % 37.43/37.67 (define @t614 () (or @t213 @t613)) % 37.43/37.67 (define @t615 () (@list @t16 @t609)) % 37.43/37.67 (define @t616 () (forall @t615 @t614)) % 37.43/37.67 (define @t617 () (@list @t609)) % 37.43/37.67 (define @t618 () (forall @t617 @t614)) % 37.43/37.67 (define @t619 () (forall @t617 @t613)) % 37.43/37.67 (define @t620 () (or @t213 @t619)) % 37.43/37.67 (define @t621 () (forall @t23 (or @t225 @t86))) % 37.43/37.67 (define @t622 () (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C @t64) @t64))) % 37.43/37.67 (define @t623 () (and @t359 @t359)) % 37.43/37.67 (define @t624 () (= @t622 @t623)) % 37.43/37.67 (define @t625 () (or @t370 @t370 @t624)) % 37.43/37.67 (define @t626 () (forall @t615 @t612)) % 37.43/37.67 (define @t627 () (= @t359 @t622)) % 37.43/37.67 (define @t628 () (or @t370 @t370 @t627)) % 37.43/37.67 (define @t629 () (not @t622)) % 37.43/37.67 (define @t630 () (@list tptp.fo__c_2Ebool_2EF tptp.fo__c_2Ebool_2EF)) % 37.43/37.67 (define @t631 () (tptp.p @t608)) % 37.43/37.67 (define @t632 () (= @t360 @t631)) % 37.43/37.67 (define @t633 () (not @t632)) % 37.43/37.67 (define @t634 () (= @t64 @t608)) % 37.43/37.67 (define @t635 () (tptp.mem @t608 tptp.bool)) % 37.43/37.67 (define @t636 () (not @t635)) % 37.43/37.67 (define @t637 () (or @t370 @t636 @t632 @t634)) % 37.43/37.67 (define @t638 () (tptp.fo__c_2Ebool_2E_5C_2F tptp.fo__c_2Ebool_2EF tptp.fo__c_2Ebool_2EF)) % 37.43/37.67 (define @t639 () (tptp.inj__o @t638)) % 37.43/37.67 (define @t640 () (= @t639 @t608)) % 37.43/37.67 (define @t641 () (tptp.p @t639)) % 37.43/37.67 (define @t642 () (not @t641)) % 37.43/37.67 (define @t643 () (tptp.mem @t639 tptp.bool)) % 37.43/37.67 (define @t644 () (not @t643)) % 37.43/37.67 (define @t645 () (or @t644 @t636 (= @t642 @t631) @t640)) % 37.43/37.67 (define @t646 () (= @t631 @t642)) % 37.43/37.67 (define @t647 () (or @t644 @t636 @t646 @t640)) % 37.43/37.67 (define @t648 () (not @t646)) % 37.43/37.67 (define @t649 () (not @t640)) % 37.43/37.67 (define @t650 () (not @t605)) % 37.43/37.67 (define @t651 () (not @t567)) % 37.43/37.67 (define @t652 () (not @t634)) % 37.43/37.67 (define @t653 () (not @t321)) % 37.43/37.67 (define @t654 () (not @t519)) % 37.43/37.67 (define @t655 () (not @t480)) % 37.43/37.67 (define @t656 () (not @t489)) % 37.43/37.67 (define @t657 () (tptp.ap @t196 @t176)) % 37.43/37.67 (define @t658 () (tptp.fo__c_2Eextreal_2Eextreal__le @t174 @t175)) % 37.43/37.67 (define @t659 () (tptp.inj__o @t658)) % 37.43/37.67 (define @t660 () (= @t659 @t657)) % 37.43/37.67 (define @t661 () (not @t660)) % 37.43/37.67 (define @t662 () (not @t316)) % 37.43/37.67 (define @t663 () (not @t516)) % 37.43/37.67 (define @t664 () (not @t475)) % 37.43/37.67 (define @t665 () (tptp.surj__ty_2Eextreal_2Eextreal @t176)) % 37.43/37.67 (define @t666 () (= @t175 @t665)) % 37.43/37.67 (define @t667 () (not @t666)) % 37.43/37.67 (define @t668 () (tptp.ap @t149 @t306)) % 37.43/37.67 (define @t669 () (tptp.ap @t668 @t203)) % 37.43/37.67 (define @t670 () (tptp.ap @t669 @t178)) % 37.43/37.67 (define @t671 () (tptp.surj__ty_2Eextreal_2Eextreal @t670)) % 37.43/37.67 (define @t672 () (= @t514 @t671)) % 37.43/37.67 (define @t673 () (not @t672)) % 37.43/37.67 (define @t674 () (tptp.surj__ty_2Eextreal_2Eextreal @t180)) % 37.43/37.67 (define @t675 () (= @t674 @t473)) % 37.43/37.67 (define @t676 () (not @t675)) % 37.43/37.67 (define @t677 () (not @t183)) % 37.43/37.67 (define @t678 () (= @t174 (tptp.surj__ty_2Eextreal_2Eextreal @t178))) % 37.43/37.67 (define @t679 () (not @t678)) % 37.43/37.67 (define @t680 () (not @t483)) % 37.43/37.67 (define @t681 () (not @t491)) % 37.43/37.67 (define @t682 () (= @t64 @t659)) % 37.43/37.67 (define @t683 () (= @t659 @t571)) % 37.43/37.67 (define @t684 () (not @t683)) % 37.43/37.67 (define @t685 () (tptp.surj__ty_2Eextreal_2Eextreal @t411)) % 37.43/37.67 (define @t686 () (tptp.inj__ty_2Eextreal_2Eextreal @t685)) % 37.43/37.67 (define @t687 () (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t486)) % 37.43/37.67 (define @t688 () (and @t483 @t682 @t634 @t640 @t567 @t605 @t684)) % 37.43/37.67 (define @t689 () (not @t682)) % 37.43/37.67 (define @t690 () (not @t188)) % 37.43/37.67 (define @t691 () (and @t188 @t416 @t372 @t467 @t491)) % 37.43/37.67 (define @t692 () (and @t416 @t395 @t366 @t467 @t188)) % 37.43/37.67 (define @t693 () (tptp.p @t659)) % 37.43/37.67 (define @t694 () (= @t360 @t693)) % 37.43/37.67 (define @t695 () (tptp.mem @t659 tptp.bool)) % 37.43/37.67 (define @t696 () (not @t695)) % 37.43/37.67 (define @t697 () (or @t370 @t696 @t694 @t682)) % 37.43/37.67 (define @t698 () (not @t694)) % 37.43/37.67 (define @t699 () (= @t693 @t350)) % 37.43/37.67 (define @t700 () (not @t693)) % 37.43/37.67 (define @t701 () (= @t348 @t659)) % 37.43/37.67 (define @t702 () (or @t368 @t696 (= @t350 @t693) @t701)) % 37.43/37.67 (define @t703 () (or @t368 @t696 @t699 @t701)) % 37.43/37.67 (define @t704 () (not @t701)) % 37.43/37.67 (define @t705 () (not @t689)) % 37.43/37.67 (define @t706 () (and @t701 @t689)) % 37.43/37.67 (define @t707 () (and @t678 @t332 @t404 @t183 @t675 @t672 @t666 @t475 @t516 @t316 @t199 @t489 @t378 @t480 @t391 @t519 @t281 @t321 @t467 @t416)) % 37.43/37.67 (define @t708 () (not @t305)) % 37.43/37.67 (define @t709 () (or @t343 @t708 @t307)) % 37.43/37.67 (define @t710 () (= @t64 @t202)) % 37.43/37.67 (define @t711 () (not @t710)) % 37.43/37.67 (define @t712 () (not @t260)) % 37.43/37.67 (define @t713 () (not @t208)) % 37.43/37.67 (define @t714 () (and @t188 @t416 @t372 @t467 @t260 @t701 @t689)) % 37.43/37.67 (define @t715 () (or @t298 @t370 (= @t296 @t359) (= @t202 @t64))) % 37.43/37.67 (define @t716 () (= @t359 @t296)) % 37.43/37.67 (define @t717 () (or @t298 @t370 @t716 @t710)) % 37.43/37.67 (define @t718 () (not @t716)) % 37.43/37.67 (define @t719 () (and @t708 @t208)) % 37.43/37.67 (define @t720 () (or @t341 @t305)) % 37.43/37.67 (define @t721 () (or @t336 @t353 @t342)) % 37.43/37.67 (define @t722 () (and @t199 @t342)) % 37.43/37.67 (define @t723 () (not @t310)) % 37.43/37.67 (define @t724 () (not @t308)) % 37.43/37.67 (define @t725 () (@list @t308)) % 37.43/37.67 (define @t726 () (and @t305 @t208)) % 37.43/37.67 (define @t727 () (not @t302)) % 37.43/37.67 (define @t728 () (tptp.fo__c_2Eextreal_2Eextreal__le @t175 @t174)) % 37.43/37.67 (define @t729 () (tptp.inj__o @t728)) % 37.43/37.67 (define @t730 () (= @t315 @t729)) % 37.43/37.67 (define @t731 () (tptp.p @t729)) % 37.43/37.67 (define @t732 () (tptp.mem @t729 tptp.bool)) % 37.43/37.67 (define @t733 () (not @t732)) % 37.43/37.67 (define @t734 () (or @t323 @t733 (= @t320 @t731) @t730)) % 37.43/37.67 (define @t735 () (= @t731 @t320)) % 37.43/37.67 (define @t736 () (or @t323 @t733 @t735 @t730)) % 37.43/37.67 (define @t737 () (tptp.p @t313)) % 37.43/37.67 (define @t738 () (not @t737)) % 37.43/37.67 (define @t739 () (not @t723)) % 37.43/37.67 (define @t740 () (and @t723 @t183)) % 37.43/37.67 (define @t741 () (tptp.ap @t312 @t178)) % 37.43/37.67 (define @t742 () (tptp.p @t741)) % 37.43/37.67 (define @t743 () (not @t742)) % 37.43/37.67 (define @t744 () (or @t743 @t336 @t737)) % 37.43/37.67 (define @t745 () (not @t731)) % 37.43/37.67 (define @t746 () (= @t729 @t741)) % 37.43/37.67 (define @t747 () (not @t746)) % 37.43/37.67 (define @t748 () (and @t746 @t743)) % 37.43/37.67 (define @t749 () (and @t723 @t183 @t316)) % 37.43/37.67 (define @t750 () (not @t735)) % 37.43/37.67 (define @t751 () (or @t478 @t190 (= @t334 @t233) (= @t330 @t41))) % 37.43/37.67 (define @t752 () (= @t41 @t330)) % 37.43/37.67 (define @t753 () (= @t233 @t334)) % 37.43/37.67 (define @t754 () (or @t478 @t190 @t753 @t752)) % 37.43/37.67 (define @t755 () (and @t307 @t332)) % 37.43/37.67 (define @t756 () (not @t753)) % 37.43/37.67 (define @t757 () (tptp.p @t657)) % 37.43/37.67 (define @t758 () (or @t757 @t742)) % 37.43/37.67 (define @t759 () (and @t660 @t757)) % 37.43/37.67 (define @t760 () (= @t334 @t693)) % 37.43/37.67 (define @t761 () (not @t760)) % 37.43/37.67 (define @t762 () (= @t330 @t659)) % 37.43/37.67 (define @t763 () (or @t478 @t696 @t760 @t762)) % 37.43/37.67 (define @t764 () (= @t360 @t731)) % 37.43/37.67 (define @t765 () (not @t764)) % 37.43/37.67 (define @t766 () (= @t64 @t729)) % 37.43/37.67 (define @t767 () (or @t370 @t733 @t764 @t766)) % 37.43/37.67 (define @t768 () (= @t693 @t356)) % 37.43/37.67 (define @t769 () (not @t768)) % 37.43/37.67 (define @t770 () (= @t195 @t659)) % 37.43/37.67 (define @t771 () (or @t374 @t696 (= @t356 @t693) @t770)) % 37.43/37.67 (define @t772 () (or @t374 @t696 @t768 @t770)) % 37.43/37.67 (define @t773 () (not @t752)) % 37.43/37.67 (define @t774 () (not @t762)) % 37.43/37.67 (define @t775 () (not @t770)) % 37.43/37.67 (define @t776 () (and @t752 @t762 @t461 @t285 @t456 @t450 @t423 @t430 @t391 @t458 @t199 @t406 @t435 @t770 @t425)) % 37.43/37.67 (define @t777 () (tptp.ap @t312 @t176)) % 37.43/37.67 (define @t778 () (tptp.p @t777)) % 37.43/37.67 (define @t779 () (or @t778 @t778)) % 37.43/37.67 (define @t780 () (not @t766)) % 37.43/37.67 (define @t781 () (not @t778)) % 37.43/37.67 (define @t782 () (and @t467 @t281 @t778 @t199 @t746 @t475 @t666 @t675 @t766 @t183 @t360)) % 37.43/37.67 (define @t783 () (not @t730)) % 37.43/37.67 (define @t784 () (not @t301)) % 37.43/37.67 (define @t785 () (and @t188 @t301 @t710 @t260 @t752 @t762 @t770 @t469)) % 37.43/37.67 (assume @p1 @t14) % 37.43/37.67 (assume @p2 @t28) % 37.43/37.67 (assume @p3 (forall @t13 (=> @t11 (forall (@list @t29) (=> (tptp.mem @t29 @t10) (=> (forall @t8 (=> @t7 (= @t4 (tptp.ap @t29 @t2)))) (= @t3 @t29))))))) % 37.43/37.67 (assume @p4 (forall (@list @t6 @t30 @t2) (=> @t7 (= (tptp.ap (tptp.k @t6 @t30) @t2) @t30)))) % 37.43/37.67 (assume @p5 @t34) % 37.43/37.67 (assume @p6 (forall @t37 (= (tptp.surj__o @t36) @t35))) % 37.43/37.67 (assume @p7 @t38) % 37.43/37.67 (assume @p8 (forall @t8 (=> @t39 (= @t2 (tptp.inj__o (tptp.surj__o @t2)))))) % 37.43/37.67 (assume @p9 @t40) % 37.43/37.67 (assume @p10 (= @t41 tptp.c_2Ebool_2ET)) % 37.43/37.67 (assume @p11 @t42) % 37.43/37.67 (assume @p12 @t47) % 37.43/37.67 (assume @p13 (forall @t46 (tptp.mem @t44 tptp.ty_2Eextreal_2Eextreal))) % 37.43/37.67 (assume @p14 @t50) % 37.43/37.67 (assume @p15 (tptp.mem tptp.c_2Eextreal_2Eextreal__le (tptp.arr tptp.ty_2Eextreal_2Eextreal (tptp.arr tptp.ty_2Eextreal_2Eextreal tptp.bool)))) % 37.43/37.67 (assume @p16 @t56) % 37.43/37.67 (assume @p17 (forall @t59 (tptp.mem @t58 (tptp.arr tptp.bool (tptp.arr @t57 (tptp.arr @t57 @t57)))))) % 37.43/37.67 (assume @p18 @t61) % 37.43/37.67 (assume @p19 @t62) % 37.43/37.67 (assume @p20 @t63) % 37.43/37.67 (assume @p21 (= @t64 tptp.c_2Ebool_2EF)) % 37.43/37.67 (assume @p22 @t66) % 37.43/37.67 (assume @p23 (tptp.mem tptp.c_2Emin_2E_3D_3D_3E @t68)) % 37.43/37.67 (assume @p24 (forall @t73 (= (tptp.inj__o (tptp.fo__c_2Emin_2E_3D_3D_3E @t71 @t69)) (tptp.ap (tptp.ap tptp.c_2Emin_2E_3D_3D_3E @t72) @t70)))) % 37.43/37.67 (assume @p25 @t79) % 37.43/37.67 (assume @p26 (tptp.mem tptp.c_2Ebool_2E_5C_2F @t68)) % 37.43/37.67 (assume @p27 (forall @t73 (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_5C_2F @t71 @t69)) (tptp.ap (tptp.ap tptp.c_2Ebool_2E_5C_2F @t72) @t70)))) % 37.43/37.67 (assume @p28 @t84) % 37.43/37.67 (assume @p29 (tptp.mem tptp.c_2Ebool_2E_2F_5C @t68)) % 37.43/37.67 (assume @p30 (forall @t73 (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_2F_5C @t71 @t69)) (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C @t72) @t70)))) % 37.43/37.67 (assume @p31 @t89) % 37.43/37.67 (assume @p32 (tptp.mem tptp.c_2Ebool_2E_7E @t67)) % 37.43/37.67 (assume @p33 (forall (@list @t71) (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_7E @t71)) (tptp.ap tptp.c_2Ebool_2E_7E @t72)))) % 37.43/37.67 (assume @p34 @t92) % 37.43/37.67 (assume @p35 (forall @t59 (tptp.mem (tptp.c_2Emin_2E_3D @t57) (tptp.arr @t57 @t93)))) % 37.43/37.67 (assume @p36 (forall @t33 (=> @t7 (forall (@list @t30) (=> (tptp.mem @t30 @t6) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D @t6) @t2) @t30)) (= @t2 @t30))))))) % 37.43/37.67 (assume @p37 (forall @t59 (tptp.mem (tptp.c_2Ebool_2E_21 @t57) (tptp.arr @t93 tptp.bool)))) % 37.43/37.67 (assume @p38 (forall (@list @t6 @t16) (=> (tptp.mem @t16 (tptp.arr @t6 tptp.bool)) (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_21 @t6) @t16)) (forall @t8 (=> @t7 (tptp.p (tptp.ap @t16 @t2)))))))) % 37.43/37.67 (assume @p39 true) % 37.43/37.67 (assume @p40 (forall (@list @t96 @t94) (=> (=> @t97 @t95) (=> (=> @t95 @t97) (= @t97 @t95))))) % 37.43/37.67 (assume @p41 (forall @t101 @t100)) % 37.43/37.67 (assume @p42 (forall @t101 (or @t99 @t102))) % 37.43/37.67 (assume @p43 (forall @t101 (=> @t103 @t102))) % 37.43/37.67 (assume @p44 (forall @t101 (=> @t102 @t103))) % 37.43/37.67 (assume @p45 (forall @t101 (and (= (=> true @t99) @t99) (= (=> @t99 true) true) (= @t100 true) (= (=> @t99 @t99) true) (= @t103 @t102)))) % 37.43/37.67 (assume @p46 (and @t104 (= (not true) false) (= (not false) true))) % 37.43/37.67 (assume @p47 (forall (@list @t57 @t105) (=> (tptp.mem @t105 @t57) (forall (@list @t106) (=> (tptp.mem @t106 @t57) (= (= @t105 @t106) (= @t106 @t105))))))) % 37.43/37.67 (assume @p48 (forall @t101 (and (= (= true @t99) @t99) (= (= @t99 true) @t99) (= (= false @t99) @t102) (= (= @t99 false) @t102)))) % 37.43/37.67 (assume @p49 @t121) % 37.43/37.67 (assume @p50 (forall (@list @t125 @t123 @t122) (= @t127 @t127))) % 37.43/37.67 (assume @p51 (forall @t129 (= @t128 (or @t124 @t126)))) % 37.43/37.67 (assume @p52 (forall @t129 (and (= (not (and @t126 @t124)) (or @t131 @t130)) (= @t132 (and @t131 @t130))))) % 37.43/37.67 (assume @p53 @t146) % 37.43/37.67 (assume @p54 @t148) % 37.43/37.67 (assume @p55 (forall @t147 (= (tptp.surj__ty_2Eextreal_2Eextreal (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__max @t136) @t140)) (tptp.surj__ty_2Eextreal_2Eextreal (tptp.ap (tptp.ap (tptp.ap @t149 @t143) @t140) @t136))))) % 37.43/37.67 (assume @p56 @t104) % 37.43/37.67 (assume @p57 (forall @t151 (=> @t126 @t150))) % 37.43/37.67 (assume @p58 (forall @t129 (= (=> @t132 false) (=> @t153 @t152)))) % 37.43/37.67 (assume @p59 (forall @t129 (= (=> (not (or @t131 @t124)) false) (=> @t126 @t152)))) % 37.43/37.67 (assume @p60 (forall @t151 (=> @t150 (=> @t153 false)))) % 37.43/37.67 (assume @p61 (forall @t163 (= (= @t155 (= @t158 @t161)) (and (or @t155 @t158 @t161) (or @t155 @t162 @t159) (or @t158 @t162 @t156) (or @t161 @t159 @t156))))) % 37.43/37.67 (assume @p62 (forall @t163 (= (= @t155 (and @t158 @t161)) (and (or @t155 @t159 @t162) (or @t158 @t156) (or @t161 @t156))))) % 37.43/37.67 (assume @p63 (forall @t163 (= (= @t155 (or @t158 @t161)) (and (or @t155 @t159) @t164 (or @t158 @t161 @t156))))) % 37.43/37.67 (assume @p64 (forall @t163 (= (= @t155 (=> @t158 @t161)) (and @t165 @t164 (or @t159 @t161 @t156))))) % 37.43/37.67 (assume @p65 (forall (@list @t154 @t157) (= (= @t155 @t159) (and @t165 (or @t159 @t156))))) % 37.43/37.67 (assume @p66 (not @t172)) % 37.43/37.67 (step @p67 :rule eq-symm :args (@t176 @t180)) % 37.43/37.67 (step @p68 :rule refl :args (@t62)) % 37.43/37.67 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t62 @t181))) % 37.43/37.67 (assume-push @p2522 @t62) % 37.43/37.67 (step @p71 :rule instantiate :premises (@p19) :args (@t182)) % 37.43/37.67 (step-pop @p2523 :rule scope :premises (@p71)) % 37.43/37.67 (step @p72 :rule process_scope :premises (@p2523) :args (@t181)) % 37.43/37.67 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 37.43/37.67 (step @p75 :rule implies_elim :premises (@p74)) % 37.43/37.67 (step @p76 :rule chain_m_resolution :premises (@p75 @p19) :args (@t183 @t184 @t185)) % 37.43/37.67 (step @p77 :rule instantiate :premises (@p55) :args (@t182)) % 37.43/37.67 (step @p78 :rule bool-impl-elim :args (@t7 @t186)) % 37.43/37.67 (step @p79 :rule cong :premises (@p78) :args ((forall @t33 (=> @t7 @t186)))) % 37.43/37.67 (step @p80 :rule eq-symm :args (@t31 @t2)) % 37.43/37.67 (step @p81 :rule refl :args (@t7)) % 37.43/37.67 (step @p82 :rule cong :premises (@p81 @p80) :args (@t32)) % 37.43/37.67 (step @p83 :rule cong :premises (@p82) :args (@t34)) % 37.43/37.67 (step @p84 :rule trans :premises (@p83 @p79)) % 37.43/37.67 (step @p85 :rule eq_resolve :premises (@p5 @p84)) % 37.43/37.67 (step @p86 :rule instantiate :premises (@p85) :args ((@list tptp.bool @t41))) % 37.43/37.67 (step @p87 :rule refl :args (tptp.bool)) % 37.43/37.67 (step @p88 :rule symm :premises (@p10)) % 37.43/37.67 (step @p89 :rule cong :premises (@p88 @p87) :args (@t40)) % 37.43/37.67 (step @p90 :rule eq_resolve :premises (@p9 @p89)) % 37.43/37.67 (step @p91 :rule cnf_or_pos :args (@t191)) % 37.43/37.67 (step @p92 :rule reordering :premises (@p91) :args ((or @t190 @t188 (not @t191)))) % 37.43/37.67 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p86) :args (@t188 @t192 (@list @t189 @t191))) % 37.43/37.67 (step @p94 :rule eq-symm :args (@t45 @t43)) % 37.43/37.67 (step @p95 :rule cong :premises (@p94) :args (@t47)) % 37.43/37.67 (step @p96 :rule eq_resolve :premises (@p12 @p95)) % 37.43/37.67 (step @p97 :rule instantiate :premises (@p96) :args ((@list @t175))) % 37.43/37.67 (step @p98 :rule instantiate :premises (@p16) :args ((@list @t175 @t193))) % 37.43/37.67 (step @p99 :rule eq-symm :args (@t195 @t197)) % 37.43/37.67 (step @p100 :rule refl :args (@t56)) % 37.43/37.67 (step @p101 :rule cong :premises (@p100 @p99) :args ((=> @t56 @t198))) % 37.43/37.67 (assume-push @p2524 @t56) % 37.43/37.67 (step @p103 :rule instantiate :premises (@p16) :args (@t182)) % 37.43/37.67 (step-pop @p2525 :rule scope :premises (@p103)) % 37.43/37.67 (step @p104 :rule process_scope :premises (@p2525) :args (@t198)) % 37.43/37.67 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 37.43/37.67 (step @p107 :rule implies_elim :premises (@p106)) % 37.43/37.67 (step @p108 :rule chain_m_resolution :premises (@p107 @p16) :args (@t199 @t184 @t200)) % 37.43/37.67 (step @p109 :rule eq-symm :args (@t202 @t205)) % 37.43/37.67 (step @p110 :rule cong :premises (@p100 @p109) :args ((=> @t56 @t206))) % 37.43/37.67 (assume-push @p2526 @t56) % 37.43/37.67 (step @p112 :rule instantiate :premises (@p16) :args (@t207)) % 37.43/37.67 (step-pop @p2527 :rule scope :premises (@p112)) % 37.43/37.67 (step @p113 :rule process_scope :premises (@p2527) :args (@t206)) % 37.43/37.67 (step @p115 :rule eq_resolve :premises (@p113 @p110)) % 37.43/37.67 (step @p116 :rule implies_elim :premises (@p115)) % 37.43/37.67 (step @p117 :rule chain_m_resolution :premises (@p116 @p16) :args (@t208 @t184 @t200)) % 37.43/37.67 (step @p118 :rule refl :args (@t210)) % 37.43/37.67 (step @p119 :rule eq-symm :args (@t211 @t90)) % 37.43/37.67 (step @p120 :rule refl :args (@t212)) % 37.43/37.67 (step @p121 :rule refl :args (@t213)) % 37.43/37.67 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119 @p118) :args (@t215)) % 37.43/37.67 (step @p123 :rule aci_norm :args ((= @t217 @t215))) % 37.43/37.67 (step @p124 :rule trans :premises (@p123 @p122)) % 37.43/37.67 (step @p125 :rule cong :premises (@p124) :args (@t219)) % 37.43/37.67 (step @p126 :rule quant-merge-prenex :args ((= (forall @t27 @t221) @t219))) % 37.43/37.67 (step @p127 :rule alpha_equiv :args (@t222 (@list @t209) @t223)) % 37.43/37.67 (step @p128 :rule refl :args (@t213)) % 37.43/37.67 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t224)) % 37.43/37.67 (step @p130 :rule quant-miniscope-or :args ((= @t221 @t224))) % 37.43/37.67 (step @p131 :rule trans :premises (@p130 @p129)) % 37.43/37.67 (step @p132 :rule symm :premises (@p131)) % 37.43/37.67 (step @p133 :rule cong :premises (@p132) :args ((forall @t27 (or @t213 @t226)))) % 37.43/37.67 (step @p134 :rule trans :premises (@p133 @p126)) % 37.43/37.67 (step @p135 :rule trans :premises (@p134 @p125)) % 37.43/37.67 (step @p136 :rule bool-impl-elim :args (@t25 @t226)) % 37.43/37.67 (step @p137 :rule cong :premises (@p136) :args ((forall @t27 (=> @t25 @t226)))) % 37.43/37.67 (step @p138 :rule trans :premises (@p137 @p135)) % 37.43/37.67 (step @p139 :rule refl :args (@t17)) % 37.43/37.67 (step @p140 :rule eq-symm :args (@t90 @t18)) % 37.43/37.67 (step @p141 :rule refl :args (@t225)) % 37.43/37.67 (step @p142 :rule nary_cong :premises (@p141 @p140 @p139) :args (@t228)) % 37.43/37.67 (step @p143 :rule cong :premises (@p142) :args ((forall @t23 @t228))) % 37.43/37.67 (step @p144 :rule aci_norm :args ((= (or @t225 (or @t227 @t17)) @t228))) % 37.43/37.67 (step @p145 :rule refl :args (@t17)) % 37.43/37.67 (step @p146 :rule bool-not-eq-elim1 :args (@t19 @t18)) % 37.43/37.67 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t20) @t17))) % 37.43/37.67 (step @p148 :rule bool-impl-elim :args (@t20 @t17)) % 37.43/37.67 (step @p149 :rule trans :premises (@p148 @p147)) % 37.43/37.67 (step @p150 :rule refl :args (@t225)) % 37.43/37.67 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or @t225 @t21))) % 37.43/37.67 (step @p152 :rule trans :premises (@p151 @p144)) % 37.43/37.67 (step @p153 :rule bool-impl-elim :args (@t22 @t21)) % 37.43/37.67 (step @p154 :rule trans :premises (@p153 @p152)) % 37.43/37.67 (step @p155 :rule cong :premises (@p154) :args (@t24)) % 37.43/37.67 (step @p156 :rule trans :premises (@p155 @p143)) % 37.43/37.67 (step @p157 :rule refl :args (@t25)) % 37.43/37.67 (step @p158 :rule cong :premises 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@p828 @p827) :args ((or @t472 @t359 (not @t334)))) % 37.43/37.68 (step @p831 :rule cnf_equiv_pos2 :args (@t471)) % 37.43/37.68 (step @p832 :rule eq_resolve :premises (@p831 @p830)) % 37.43/37.68 (step @p833 :rule reordering :premises (@p832) :args ((or @t359 @t333 @t472))) % 37.43/37.68 (step @p834 :rule instantiate :premises (@p620) :args ((@list @t402))) % 37.43/37.68 (step @p835 :rule cnf_or_pos :args (@t476)) % 37.43/37.68 (step @p836 :rule reordering :premises (@p835) :args ((or @t406 @t475 (not @t476)))) % 37.43/37.68 (step @p837 :rule instantiate :premises (@p7) :args ((@list @t329))) % 37.43/37.68 (step @p838 :rule eq-symm :args (@t330 @t64)) % 37.43/37.68 (step @p839 :rule eq-symm :args (@t334 @t359)) % 37.43/37.68 (step @p840 :rule refl :args (@t370)) % 37.43/37.68 (step @p841 :rule refl :args (@t478)) % 37.43/37.68 (step @p842 :rule nary_cong :premises (@p841 @p840 @p839 @p838) :args (@t479)) % 37.43/37.68 (step @p843 :rule cong :premises (@p274 @p842) :args ((=> @t300 @t479))) % 37.43/37.68 (assume-push @p2716 @t300) % 37.43/37.68 (step @p845 :rule instantiate :premises (@p161) :args ((@list @t330 @t64))) % 37.43/37.68 (step-pop @p2717 :rule scope :premises (@p845)) % 37.43/37.68 (step @p846 :rule process_scope :premises (@p2717) :args (@t479)) % 37.43/37.68 (step @p848 :rule eq_resolve :premises (@p846 @p843)) % 37.43/37.68 (step @p849 :rule implies_elim :premises (@p848)) % 37.43/37.68 (step @p850 :rule chain_m_resolution :premises (@p849 @p161) :args (@t481 @t184 @t304)) % 37.43/37.68 (step @p851 :rule cnf_or_pos :args (@t481)) % 37.43/37.68 (step @p852 :rule reordering :premises (@p851) :args ((or @t370 @t478 @t471 @t480 (not @t481)))) % 37.43/37.68 (assume-push @p2718 @t482) % 37.43/37.68 (step-pop @p2719 :rule scope :premises (@p834)) % 37.43/37.68 (step @p854 :rule process_scope :premises (@p2719) :args (@t476)) % 37.43/37.68 (step @p856 :rule implies_elim :premises (@p854)) % 37.43/37.68 (step @p857 :rule instantiate :premises (@p96) :args (@t277)) % 37.43/37.68 (step @p858 :rule instantiate :premises (@p55) :args (@t325)) % 37.43/37.68 (step @p859 :rule instantiate :premises (@p85) :args ((@list tptp.bool @t64))) % 37.43/37.68 (step @p860 :rule cnf_or_pos :args (@t484)) % 37.43/37.68 (step @p861 :rule reordering :premises (@p860) :args ((or @t370 @t483 (not @t484)))) % 37.43/37.68 (step @p862 :rule chain_m_resolution :premises (@p861 @p436 @p859) :args (@t483 @t192 (@list @t369 @t484))) % 37.43/37.68 (step @p863 :rule instantiate :premises (@p16) :args (@t485)) % 37.43/37.68 (step @p864 :rule eq-symm :args (@t486 @t487)) % 37.43/37.68 (step @p865 :rule cong :premises (@p68 @p864) :args ((=> @t62 @t488))) % 37.43/37.68 (assume-push @p2720 @t62) % 37.43/37.68 (step @p867 :rule instantiate :premises (@p19) :args (@t325)) % 37.43/37.68 (step-pop @p2721 :rule scope :premises (@p867)) % 37.43/37.68 (step @p868 :rule process_scope :premises (@p2721) :args (@t488)) % 37.43/37.68 (step @p870 :rule eq_resolve :premises (@p868 @p865)) % 37.43/37.68 (step @p871 :rule implies_elim :premises (@p870)) % 37.43/37.68 (step @p872 :rule chain_m_resolution :premises (@p871 @p19) :args (@t489 @t184 @t185)) % 37.43/37.68 (step @p873 :rule refl :args (@t491)) % 37.43/37.68 (step @p874 :rule refl :args (@t234)) % 37.43/37.68 (step @p875 :rule nary_cong :premises (@p874 @p423 @p873) :args ((or @t234 @t363 @t491))) % 37.43/37.68 (assume-push @p2722 @t233) % 37.43/37.68 (assume-push @p2723 @t490) % 37.43/37.68 (assume-push @p2724 @t360) % 37.43/37.68 (step @p509 :rule evaluate :args (@t408)) % 37.43/37.68 (step @p879 :rule true_intro :premises (@p183)) % 37.43/37.68 (step @p880 :rule symm :premises (@p2723)) % 37.43/37.68 (step @p881 :rule cong :premises (@p880) :args (@t359)) % 37.43/37.68 (step @p882 :rule false_intro :premises (@p421)) % 37.43/37.68 (step @p883 :rule symm :premises (@p882)) % 37.43/37.68 (step @p884 :rule trans :premises (@p883 @p881 @p879)) % 37.43/37.68 (step @p885 false :rule eq_resolve :premises (@p884 @p509)) % 37.43/37.68 (step-pop @p2725 :rule scope :premises (@p885)) % 37.43/37.68 (step-pop @p2726 :rule scope :premises (@p2725)) % 37.43/37.68 (step-pop @p2727 :rule scope :premises (@p2726)) % 37.43/37.68 (step @p886 :rule process_scope :premises (@p2727) :args (false)) % 37.43/37.68 (assume-push @p2728 @t233) % 37.43/37.68 (assume-push @p2729 @t360) % 37.43/37.68 (assume-push @p2730 @t490) % 37.43/37.68 (step @p893 :rule and_intro :premises (@p183 @p2730 @p421)) % 37.43/37.68 (step-pop @p2731 :rule scope :premises (@p893)) % 37.43/37.68 (step-pop @p2732 :rule scope :premises (@p2731)) % 37.43/37.68 (step-pop @p2733 :rule scope :premises (@p2732)) % 37.43/37.68 (step @p894 :rule process_scope :premises (@p2733) :args (@t492)) % 37.43/37.68 (step @p898 :rule implies_elim :premises (@p894)) % 37.43/37.68 (step @p899 :rule resolution :premises (@p898 @p886) :args (true @t492)) % 37.43/37.68 (step @p900 :rule not_and :premises (@p899)) % 37.43/37.68 (step @p901 :rule eq_resolve :premises (@p900 @p875)) % 37.43/37.68 (step @p902 :rule reordering :premises (@p901) :args ((or @t359 @t234 @t491))) % 37.43/37.68 (step @p903 :rule chain_m_resolution :premises (@p902 @p421 @p183) :args (@t491 @t257 @t493)) % 37.43/37.68 (step @p904 :rule instantiate :premises (@p620) :args ((@list @t487))) % 37.43/37.68 (step @p905 :rule aci_norm :args ((= @t499 (or @t497 @t496 @t495)))) % 37.43/37.68 (step @p906 :rule cong :premises (@p905) :args (@t500)) % 37.43/37.68 (step @p907 :rule quant-merge-prenex :args ((= (forall @t13 @t502) @t500))) % 37.43/37.68 (step @p908 :rule alpha_equiv :args (@t503 (@list @t494) (@list @t2))) % 37.43/37.68 (step @p909 :rule refl :args (@t497)) % 37.43/37.68 (step @p910 :rule nary_cong :premises (@p909 @p908) :args (@t504)) % 37.43/37.68 (step @p911 :rule quant-miniscope-or :args ((= @t502 @t504))) % 37.43/37.68 (step @p912 :rule trans :premises (@p911 @p910)) % 37.43/37.68 (step @p913 :rule symm :premises (@p912)) % 37.43/37.68 (step @p914 :rule cong :premises (@p913) :args ((forall @t13 (or @t497 @t505)))) % 37.43/37.68 (step @p915 :rule trans :premises (@p914 @p907)) % 37.43/37.68 (step @p916 :rule trans :premises (@p915 @p906)) % 37.43/37.68 (step @p917 :rule bool-impl-elim :args (@t11 @t505)) % 37.43/37.68 (step @p918 :rule cong :premises (@p917) :args ((forall @t13 (=> @t11 @t505)))) % 37.43/37.68 (step @p919 :rule trans :premises (@p918 @p916)) % 37.43/37.68 (step @p920 :rule bool-impl-elim :args (@t7 @t5)) % 37.43/37.68 (step @p921 :rule cong :premises (@p920) :args (@t9)) % 37.43/37.68 (step @p922 :rule refl :args (@t11)) % 37.43/37.68 (step @p923 :rule cong :premises (@p922 @p921) :args (@t12)) % 37.43/37.68 (step @p924 :rule cong :premises (@p923) :args (@t14)) % 37.43/37.68 (step @p925 :rule trans :premises (@p924 @p919)) % 37.43/37.68 (step @p926 :rule eq_resolve :premises (@p1 @p925)) % 37.43/37.68 (step @p927 :rule instantiate :premises (@p926) :args ((@list tptp.ty_2Eextreal_2Eextreal tptp.ty_2Eextreal_2Eextreal @t179 @t203))) % 37.43/37.68 (step @p928 :rule instantiate :premises (@p926) :args ((@list tptp.ty_2Eextreal_2Eextreal @t60 tptp.c_2Eextreal_2Eextreal__max @t178))) % 37.43/37.68 (step @p929 :rule cnf_or_pos :args (@t508)) % 37.43/37.68 (step @p930 :rule reordering :premises (@p929) :args ((or @t507 @t288 @t506 (not @t508)))) % 37.43/37.68 (step @p931 :rule chain_m_resolution :premises (@p930 @p18 @p263 @p928) :args (@t506 @t292 (@list @t61 @t287 @t508))) % 37.43/37.68 (step @p932 :rule instantiate :premises (@p13) :args ((@list @t193))) % 37.43/37.68 (step @p933 :rule cnf_or_pos :args (@t513)) % 37.43/37.68 (step @p934 :rule reordering :premises (@p933) :args ((or @t511 @t509 @t512 (not @t513)))) % 37.43/37.68 (step @p935 :rule chain_m_resolution :premises (@p934 @p932 @p931 @p927) :args (@t509 @t292 (@list @t510 @t506 @t513))) % 37.43/37.68 (step @p936 :rule cnf_or_pos :args (@t518)) % 37.43/37.68 (step @p937 :rule reordering :premises (@p936) :args ((or @t517 @t516 (not @t518)))) % 37.43/37.68 (step @p938 :rule chain_m_resolution :premises (@p937 @p935 @p904) :args (@t516 @t192 (@list @t509 @t518))) % 37.43/37.68 (step @p939 :rule instantiate :premises (@p260) :args ((@list tptp.ty_2Eextreal_2Eextreal @t203 @t178))) % 37.43/37.68 (step @p940 :rule cnf_or_pos :args (@t521)) % 37.43/37.68 (step @p941 :rule reordering :premises (@p940) :args ((or @t511 @t288 @t520 (not @t521)))) % 37.43/37.68 (step @p942 :rule chain_m_resolution :premises (@p941 @p932 @p263 @p939) :args (@t520 @t292 (@list @t510 @t287 @t521))) % 37.43/37.68 (step @p943 :rule cnf_and_pos :args (@t520 1)) % 37.43/37.68 (step @p944 :rule reordering :premises (@p943) :args ((or @t519 (not @t520)))) % 37.43/37.68 (step @p945 :rule chain_m_resolution :premises (@p944 @p942) :args (@t519 @t184 (@list @t520))) % 37.43/37.68 (step @p946 :rule instantiate :premises (@p161) :args (@t525)) % 37.43/37.68 (step @p947 :rule aci_norm :args ((= @t531 @t529))) % 37.43/37.68 (step @p948 :rule cong :premises (@p947) :args (@t533)) % 37.43/37.68 (step @p949 :rule quant-merge-prenex :args ((= (forall @t27 @t535) @t533))) % 37.43/37.68 (step @p950 :rule alpha_equiv :args (@t536 (@list @t526) @t223)) % 37.43/37.68 (step @p951 :rule nary_cong :premises (@p128 @p950) :args (@t537)) % 37.43/37.68 (step @p952 :rule quant-miniscope-or :args ((= @t535 @t537))) % 37.43/37.68 (step @p953 :rule trans :premises (@p952 @p951)) % 37.43/37.68 (step @p954 :rule symm :premises (@p953)) % 37.43/37.68 (step @p955 :rule cong :premises (@p954) :args ((forall @t27 (or @t213 @t538)))) % 37.43/37.68 (step @p956 :rule trans :premises (@p955 @p949)) % 37.43/37.68 (step @p957 :rule trans :premises (@p956 @p948)) % 37.43/37.68 (step @p958 :rule bool-impl-elim :args (@t25 @t538)) % 37.43/37.68 (step @p959 :rule cong :premises (@p958) :args ((forall @t27 (=> @t25 @t538)))) % 37.43/37.68 (step @p960 :rule trans :premises (@p959 @p957)) % 37.43/37.68 (step @p961 :rule bool-impl-elim :args (@t22 @t81)) % 37.43/37.68 (step @p962 :rule cong :premises (@p961) :args (@t82)) % 37.43/37.68 (step @p963 :rule cong :premises (@p157 @p962) :args (@t83)) % 37.43/37.68 (step @p964 :rule cong :premises (@p963) :args (@t84)) % 37.43/37.68 (step @p965 :rule trans :premises (@p964 @p960)) % 37.43/37.68 (step @p966 :rule eq_resolve :premises (@p28 @p965)) % 37.43/37.68 (step @p967 :rule instantiate :premises (@p966) :args (@t525)) % 37.43/37.68 (step @p968 :rule eq-symm :args (@t539 @t359)) % 37.43/37.68 (step @p969 :rule aci_norm :args ((= @t540 @t359))) % 37.43/37.68 (step @p970 :rule refl :args (@t539)) % 37.43/37.68 (step @p971 :rule cong :premises (@p970 @p969) :args (@t541)) % 37.43/37.68 (step @p972 :rule trans :premises (@p971 @p968)) % 37.43/37.68 (step @p973 :rule nary_cong :premises (@p840 @p840 @p972) :args (@t542)) % 37.43/37.68 (step @p974 :rule refl :args (@t543)) % 37.43/37.68 (step @p975 :rule cong :premises (@p974 @p973) :args ((=> @t543 @t542))) % 37.43/37.68 (assume-push @p2734 @t543) % 37.43/37.68 (step @p977 :rule instantiate :premises (@p966) :args (@t544)) % 37.43/37.68 (step-pop @p2735 :rule scope :premises (@p977)) % 37.43/37.68 (step @p978 :rule process_scope :premises (@p2735) :args (@t542)) % 37.43/37.68 (step @p980 :rule eq_resolve :premises (@p978 @p975)) % 37.43/37.68 (step @p981 :rule implies_elim :premises (@p980)) % 37.43/37.68 (step @p982 :rule chain_m_resolution :premises (@p981 @p966) :args (@t546 @t184 (@list @t543))) % 37.43/37.68 (step @p983 :rule cnf_or_pos :args (@t546)) % 37.43/37.68 (step @p984 :rule factoring :premises (@p983)) % 37.43/37.68 (step @p985 :rule reordering :premises (@p984) :args ((or @t370 @t545 (not @t546)))) % 37.43/37.68 (step @p986 :rule chain_m_resolution :premises (@p985 @p436 @p982) :args (@t545 @t192 (@list @t369 @t546))) % 37.43/37.68 (step @p987 :rule cnf_equiv_pos2 :args (@t545)) % 37.43/37.68 (step @p988 :rule reordering :premises (@p987) :args ((or @t359 @t547 (not @t545)))) % 37.43/37.68 (step @p989 :rule chain_m_resolution :premises (@p988 @p421 @p986) :args (@t547 @t257 (@list @t359 @t545))) % 37.43/37.68 (step @p990 :rule cnf_or_pos :args (@t548)) % 37.43/37.68 (step @p991 :rule reordering :premises (@p990) :args ((or @t370 @t539 @t549))) % 37.43/37.68 (step @p992 :rule chain_m_resolution :premises (@p991 @p436 @p989) :args (@t549 @t243 (@list @t369 @t539))) % 37.43/37.68 (assume-push @p2736 @t523) % 37.43/37.68 (step @p994 :rule instantiate :premises (@p2736) :args (@t550)) % 37.43/37.68 (step-pop @p2737 :rule scope :premises (@p994)) % 37.43/37.68 (step @p995 :rule process_scope :premises (@p2737) :args (@t548)) % 37.43/37.68 (step @p997 :rule implies_elim :premises (@p995)) % 37.43/37.68 (step @p998 :rule chain_m_resolution :premises (@p997 @p992) :args (@t551 @t245 (@list @t548))) % 37.43/37.68 (step @p999 :rule refl :args (@t556)) % 37.43/37.68 (step @p1000 :rule bool-double-not-elim :args (@t523)) % 37.43/37.68 (step @p1001 :rule nary_cong :premises (@p1000 @p999) :args ((or (not @t551) @t556))) % 37.43/37.68 (assume-push @p2738 @t551) % 37.43/37.68 (step @p1003 :rule skolemize :premises (@p2738)) % 37.43/37.68 (step-pop @p2739 :rule scope :premises (@p1003)) % 37.43/37.68 (step @p1004 :rule process_scope :premises (@p2739) :args (@t556)) % 37.43/37.68 (step @p1006 :rule implies_elim :premises (@p1004)) % 37.43/37.68 (step @p1007 :rule eq_resolve :premises (@p1006 @p1001)) % 37.43/37.68 (step @p1008 :rule chain_m_resolution :premises (@p1007 @p998) :args (@t556 @t245 (@list @t523))) % 37.43/37.68 (step @p1009 :rule bool-double-not-elim :args (@t553)) % 37.43/37.68 (step @p1010 :rule refl :args (@t555)) % 37.43/37.68 (step @p1011 :rule nary_cong :premises (@p1010 @p1009) :args ((or @t555 (not @t554)))) % 37.43/37.68 (step @p1012 :rule cnf_or_neg :args (@t555 0)) % 37.43/37.68 (step @p1013 :rule eq_resolve :premises (@p1012 @p1011)) % 37.43/37.68 (step @p1014 :rule reordering :premises (@p1013) :args ((or @t553 @t555))) % 37.43/37.68 (step @p1015 :rule chain_m_resolution :premises (@p1014 @p1008) :args (@t553 @t245 @t557)) % 37.43/37.68 (step @p1016 :rule cnf_or_pos :args (@t561)) % 37.43/37.68 (step @p1017 :rule reordering :premises (@p1016) :args ((or @t370 @t554 @t560 (not @t561)))) % 37.43/37.68 (step @p1018 :rule chain_m_resolution :premises (@p1017 @p436 @p1015 @p967) :args (@t560 @t292 (@list @t369 @t553 @t561))) % 37.43/37.68 (step @p1019 :rule cnf_or_neg :args (@t555 1)) % 37.43/37.68 (step @p1020 :rule chain_m_resolution :premises (@p1019 @p1008) :args ((not @t552) @t245 @t557)) % 37.43/37.68 (step @p1021 :rule cnf_equiv_pos2 :args (@t560)) % 37.43/37.68 (step @p1022 :rule reordering :premises (@p1021) :args ((or @t552 @t562 (not @t560)))) % 37.43/37.68 (step @p1023 :rule chain_m_resolution :premises (@p1022 @p1020 @p1018) :args (@t562 @t257 (@list @t552 @t560))) % 37.43/37.68 (step @p1024 :rule cnf_or_neg :args (@t559 1)) % 37.43/37.68 (step @p1025 :rule reordering :premises (@p1024) :args ((or @t563 @t559))) % 37.43/37.68 (step @p1026 :rule 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(tptp.c_2Eextreal_2Eextreal__le)) % 37.43/37.68 (step @p2476 :rule cong :premises (@p293 @p2475) :args (@t309)) % 37.43/37.68 (step @p294 :rule cong :premises (@p293 @p71) :args (@t312)) % 37.43/37.68 (step @p2477 :rule trans :premises (@p294 @p2476)) % 37.43/37.68 (step @p2478 :rule cong :premises (@p2477 @p292) :args (@t313)) % 37.43/37.68 (step @p2479 :rule symm :premises (@p3374)) % 37.43/37.68 (step @p2480 :rule trans :premises (@p3378 @p2479 @p98 @p2478 @p117)) % 37.43/37.68 (step-pop @p3392 :rule scope :premises (@p2480)) % 37.43/37.68 (step-pop @p3393 :rule scope :premises (@p3392)) % 37.43/37.68 (step-pop @p3394 :rule scope :premises (@p3393)) % 37.43/37.68 (step-pop @p3395 :rule scope :premises (@p3394)) % 37.43/37.68 (step-pop @p3396 :rule scope :premises (@p3395)) % 37.43/37.68 (step-pop @p3397 :rule scope :premises (@p3396)) % 37.43/37.68 (step-pop @p3398 :rule scope :premises (@p3397)) % 37.43/37.68 (step-pop @p3399 :rule scope :premises (@p3398)) % 37.43/37.68 (step-pop @p3400 :rule scope :premises (@p3399)) % 37.43/37.68 (step-pop @p3401 :rule scope :premises (@p3400)) % 37.43/37.68 (step-pop @p3402 :rule scope :premises (@p3401)) % 37.43/37.68 (step-pop @p3403 :rule scope :premises (@p3402)) % 37.43/37.68 (step-pop @p3404 :rule scope :premises (@p3403)) % 37.43/37.68 (step @p2481 :rule process_scope :premises (@p3404) :args (@t710)) % 37.43/37.68 (step @p2495 :rule and_intro :premises (@p3373 @p269 @p108 @p98 @p3377 @p3376 @p117 @p3366 @p97 @p3374 @p77 @p3378 @p76)) % 37.43/37.68 (step @p2496 :rule modus_ponens :premises (@p2495 @p2481)) % 37.43/37.68 (step @p2497 :rule and_intro :premises (@p93 @p3372 @p2496 @p3370 @p3377 @p3376 @p3373 @p3375)) % 37.43/37.68 (step-pop @p3405 :rule scope :premises (@p2497)) % 37.43/37.68 (step-pop @p3406 :rule scope :premises (@p3405)) % 37.43/37.68 (step-pop @p3407 :rule scope :premises (@p3406)) % 37.43/37.68 (step-pop @p3408 :rule scope :premises (@p3407)) % 37.43/37.68 (step-pop @p3409 :rule scope :premises (@p3408)) % 37.43/37.68 (step-pop @p3410 :rule scope :premises (@p3409)) % 37.43/37.68 (step-pop @p3411 :rule scope :premises (@p3410)) % 37.43/37.68 (step-pop @p3412 :rule scope :premises (@p3411)) % 37.43/37.68 (step-pop @p3413 :rule scope :premises (@p3412)) % 37.43/37.68 (step-pop @p3414 :rule scope :premises (@p3413)) % 37.43/37.68 (step-pop @p3415 :rule scope :premises (@p3414)) % 37.43/37.68 (step-pop @p3416 :rule scope :premises (@p3415)) % 37.43/37.68 (step-pop @p3417 :rule scope :premises (@p3416)) % 37.43/37.68 (step-pop @p3418 :rule scope :premises (@p3417)) % 37.43/37.68 (step-pop @p3419 :rule scope :premises (@p3418)) % 37.43/37.68 (step-pop @p3420 :rule scope :premises (@p3419)) % 37.43/37.68 (step-pop @p3421 :rule scope :premises (@p3420)) % 37.43/37.68 (step @p2498 :rule process_scope :premises (@p3421) :args (@t785)) % 37.43/37.68 (step @p2516 :rule implies_elim :premises (@p2498)) % 37.43/37.68 (step @p2517 :rule resolution :premises (@p2516 @p2429) :args (true @t785)) % 37.43/37.68 (step @p2518 :rule not_and :premises (@p2517)) % 37.43/37.68 (step @p2519 :rule eq_resolve :premises (@p2518 @p2403)) % 37.43/37.68 (step @p2520 :rule reordering :premises (@p2519) :args ((or @t690 @t677 @t676 @t667 @t664 @t662 @t357 @t713 @t712 @t448 @t467 @t784 @t775 @t783 @t773 @t774 @t780))) % 37.43/37.68 (step @p2521 false :rule chain_m_resolution :premises (@p2520 @p2399 @p2395 @p2312 @p2210 @p2200 @p2168 @p2132 @p2023 @p269 @p231 @p117 @p108 @p98 @p97 @p93 @p77 @p76) :args (false (@list false true false false false false false false false false false false false false false false false) (@list @t770 @t467 @t475 @t766 @t762 @t752 @t730 @t301 @t285 @t260 @t208 @t199 @t316 @t666 @t188 @t675 @t183))) % 37.43/37.68 ) % 37.43/37.68 % SZS output end Proof % 37.43/37.68 % cvc5 exiting %------------------------------------------------------------------------------