%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP012_2 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:24:34 AM UTC 2026 % Result : Theorem 0.61s 0.86s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP012_2 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n002.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 03:49:03 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.61/0.86 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.61/0.86 % SZS status Theorem % 0.61/0.86 % SZS output start Proof % 0.61/0.86 ( % 0.61/0.86 (declare-sort tptp.tp__ty_2Einteger_2Eint 0) % 0.61/0.86 (declare-sort tptp.tp__o 0) % 0.61/0.86 (declare-sort tptp.del 0) % 0.61/0.86 (declare-sort $$unsorted 0) % 0.61/0.86 (declare-const tptp.c_2Emin_2E_3D (-> tptp.del $$unsorted)) % 0.61/0.86 (declare-const tptp.fo__c_2Ebool_2E_7E (-> tptp.tp__o tptp.tp__o)) % 0.61/0.86 (declare-const tptp.c_2Ebool_2E_7E $$unsorted) % 0.61/0.86 (declare-const tptp.c_2Ebool_2E_2F_5C $$unsorted) % 0.61/0.86 (declare-const tptp.fo__c_2Ebool_2E_2F_5C (-> tptp.tp__o tptp.tp__o tptp.tp__o)) % 0.61/0.86 (declare-const tptp.inj__ty_2Einteger_2Eint (-> tptp.tp__ty_2Einteger_2Eint $$unsorted)) % 0.61/0.86 (declare-const tptp.fo__c_2Einteger_2Eint__divides (-> tptp.tp__ty_2Einteger_2Eint tptp.tp__ty_2Einteger_2Eint tptp.tp__o)) % 0.61/0.86 (declare-const tptp.c_2Ebool_2E_3F (-> tptp.del $$unsorted)) % 0.61/0.86 (declare-const tptp.c_2Einteger_2Eint__add $$unsorted) % 0.61/0.86 (declare-const tptp.fo__c_2Ebool_2ET tptp.tp__o) % 0.61/0.86 (declare-const tptp.c_2Ebool_2ET $$unsorted) % 0.61/0.86 (declare-const tptp.surj__o (-> $$unsorted tptp.tp__o)) % 0.61/0.86 (declare-const tptp.inj__o (-> tptp.tp__o $$unsorted)) % 0.61/0.86 (declare-const tptp.c_2Ebool_2E_5C_2F $$unsorted) % 0.61/0.86 (declare-const tptp.c_2Ebool_2E_21 (-> tptp.del $$unsorted)) % 0.61/0.86 (declare-const tptp.i (-> tptp.del $$unsorted)) % 0.61/0.86 (declare-const tptp.c_2Emin_2E_3D_3D_3E $$unsorted) % 0.61/0.86 (declare-const tptp.k (-> tptp.del $$unsorted $$unsorted)) % 0.61/0.86 (declare-const tptp.bool tptp.del) % 0.61/0.86 (declare-const tptp.p (-> $$unsorted Bool)) % 0.61/0.86 (declare-const tptp.fo__c_2Ebool_2E_5C_2F (-> tptp.tp__o tptp.tp__o tptp.tp__o)) % 0.61/0.86 (declare-const tptp.arr (-> tptp.del tptp.del tptp.del)) % 0.61/0.86 (declare-const tptp.c_2Einteger_2Eint__neg $$unsorted) % 0.61/0.86 (declare-const tptp.mem (-> $$unsorted tptp.del Bool)) % 0.61/0.86 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.86 (declare-const tptp.surj__ty_2Einteger_2Eint (-> $$unsorted tptp.tp__ty_2Einteger_2Eint)) % 0.61/0.86 (declare-const tptp.ty_2Einteger_2Eint tptp.del) % 0.61/0.86 (declare-const tptp.c_2Einteger_2Eint__sub $$unsorted) % 0.61/0.86 (declare-const tptp.fo__c_2Einteger_2Eint__neg (-> tptp.tp__ty_2Einteger_2Eint tptp.tp__ty_2Einteger_2Eint)) % 0.61/0.86 (declare-const tptp.fo__c_2Einteger_2Eint__sub (-> tptp.tp__ty_2Einteger_2Eint tptp.tp__ty_2Einteger_2Eint tptp.tp__ty_2Einteger_2Eint)) % 0.61/0.86 (declare-const tptp.fo__c_2Einteger_2Eint__add (-> tptp.tp__ty_2Einteger_2Eint tptp.tp__ty_2Einteger_2Eint tptp.tp__ty_2Einteger_2Eint)) % 0.61/0.86 (declare-const tptp.c_2Ebool_2EF $$unsorted) % 0.61/0.86 (declare-const tptp.c_2Einteger_2Eint__divides $$unsorted) % 0.61/0.86 (declare-const tptp.fo__c_2Ebool_2EF tptp.tp__o) % 0.61/0.86 (declare-const tptp.fo__c_2Emin_2E_3D_3D_3E (-> tptp.tp__o tptp.tp__o tptp.tp__o)) % 0.61/0.86 (define @t1 () (@var "B" tptp.del)) % 0.61/0.86 (define @t2 () (@var "X" $$unsorted)) % 0.61/0.86 (define @t3 () (@var "F" $$unsorted)) % 0.61/0.86 (define @t4 () (tptp.ap @t3 @t2)) % 0.61/0.86 (define @t5 () (@var "A" tptp.del)) % 0.61/0.86 (define @t6 () (tptp.mem @t2 @t5)) % 0.61/0.86 (define @t7 () (@list @t2)) % 0.61/0.86 (define @t8 () (tptp.arr @t5 @t1)) % 0.61/0.86 (define @t9 () (tptp.mem @t3 @t8)) % 0.61/0.86 (define @t10 () (@list @t5 @t1 @t3)) % 0.61/0.86 (define @t11 () (@var "R" $$unsorted)) % 0.61/0.86 (define @t12 () (@var "Q" $$unsorted)) % 0.61/0.86 (define @t13 () (tptp.p @t11)) % 0.61/0.86 (define @t14 () (tptp.p @t12)) % 0.61/0.86 (define @t15 () (tptp.mem @t11 tptp.bool)) % 0.61/0.86 (define @t16 () (@list @t11)) % 0.61/0.86 (define @t17 () (tptp.mem @t12 tptp.bool)) % 0.61/0.86 (define @t18 () (@list @t12)) % 0.61/0.86 (define @t19 () (@var "G" $$unsorted)) % 0.61/0.86 (define @t20 () (@var "Y" $$unsorted)) % 0.61/0.86 (define @t21 () (@list @t5 @t2)) % 0.61/0.86 (define @t22 () (@var "X" tptp.tp__o)) % 0.61/0.86 (define @t23 () (tptp.inj__o @t22)) % 0.61/0.86 (define @t24 () (@list @t22)) % 0.61/0.86 (define @t25 () (@var "A_27a" tptp.del)) % 0.61/0.86 (define @t26 () (tptp.arr @t25 tptp.bool)) % 0.61/0.86 (define @t27 () (tptp.arr @t26 tptp.bool)) % 0.61/0.86 (define @t28 () (@list @t25)) % 0.61/0.86 (define @t29 () (tptp.p (tptp.ap @t12 @t2))) % 0.61/0.86 (define @t30 () (tptp.mem @t12 (tptp.arr @t5 tptp.bool))) % 0.61/0.86 (define @t31 () (@list @t5 @t12)) % 0.61/0.86 (define @t32 () (@var "X" tptp.tp__ty_2Einteger_2Eint)) % 0.61/0.86 (define @t33 () (tptp.inj__ty_2Einteger_2Eint @t32)) % 0.61/0.86 (define @t34 () (tptp.surj__ty_2Einteger_2Eint @t33)) % 0.61/0.86 (define @t35 () (@list @t32)) % 0.61/0.86 (define @t36 () (forall @t35 (= @t34 @t32))) % 0.61/0.86 (define @t37 () (tptp.arr tptp.ty_2Einteger_2Eint tptp.ty_2Einteger_2Eint)) % 0.61/0.86 (define @t38 () (tptp.arr tptp.ty_2Einteger_2Eint @t37)) % 0.61/0.86 (define @t39 () (@var "X1" tptp.tp__ty_2Einteger_2Eint)) % 0.61/0.86 (define @t40 () (tptp.inj__ty_2Einteger_2Eint @t39)) % 0.61/0.86 (define @t41 () (@var "X0" tptp.tp__ty_2Einteger_2Eint)) % 0.61/0.86 (define @t42 () (tptp.inj__ty_2Einteger_2Eint @t41)) % 0.61/0.86 (define @t43 () (@list @t41 @t39)) % 0.61/0.86 (define @t44 () (forall @t43 (= (tptp.inj__ty_2Einteger_2Eint (tptp.fo__c_2Einteger_2Eint__sub @t41 @t39)) (tptp.ap (tptp.ap tptp.c_2Einteger_2Eint__sub @t42) @t40)))) % 0.61/0.86 (define @t45 () (forall (@list @t41) (= (tptp.inj__ty_2Einteger_2Eint (tptp.fo__c_2Einteger_2Eint__neg @t41)) (tptp.ap tptp.c_2Einteger_2Eint__neg @t42)))) % 0.61/0.86 (define @t46 () (tptp.arr tptp.bool tptp.bool)) % 0.61/0.86 (define @t47 () (tptp.arr tptp.bool @t46)) % 0.61/0.86 (define @t48 () (@var "X1" tptp.tp__o)) % 0.61/0.86 (define @t49 () (tptp.inj__o @t48)) % 0.61/0.86 (define @t50 () (@var "X0" tptp.tp__o)) % 0.61/0.86 (define @t51 () (tptp.inj__o @t50)) % 0.61/0.86 (define @t52 () (@list @t50 @t48)) % 0.61/0.86 (define @t53 () (@var "V1t2" tptp.tp__o)) % 0.61/0.86 (define @t54 () (tptp.p (tptp.inj__o @t53))) % 0.61/0.86 (define @t55 () (@var "V0t1" tptp.tp__o)) % 0.61/0.86 (define @t56 () (tptp.p (tptp.inj__o @t55))) % 0.61/0.86 (define @t57 () (@var "V0t" tptp.tp__o)) % 0.61/0.86 (define @t58 () (tptp.p (tptp.inj__o @t57))) % 0.61/0.86 (define @t59 () (not @t58)) % 0.61/0.86 (define @t60 () (=> @t58 false)) % 0.61/0.86 (define @t61 () (@list @t57)) % 0.61/0.86 (define @t62 () (forall @t61 (= (not @t59) @t58))) % 0.61/0.86 (define @t63 () (@var "V2x" $$unsorted)) % 0.61/0.86 (define @t64 () (@var "V0P" $$unsorted)) % 0.61/0.86 (define @t65 () (tptp.p (tptp.ap @t64 @t63))) % 0.61/0.86 (define @t66 () (tptp.mem @t63 @t25)) % 0.61/0.86 (define @t67 () (@list @t63)) % 0.61/0.86 (define @t68 () (@var "V1x" $$unsorted)) % 0.61/0.86 (define @t69 () (tptp.mem @t64 @t26)) % 0.61/0.86 (define @t70 () (@list @t25 @t64)) % 0.61/0.86 (define @t71 () (@var "V4x" $$unsorted)) % 0.61/0.86 (define @t72 () (@var "V1Q" $$unsorted)) % 0.61/0.86 (define @t73 () (@var "V3x" $$unsorted)) % 0.61/0.86 (define @t74 () (@var "V2C" tptp.tp__o)) % 0.61/0.86 (define @t75 () (@var "V1B" tptp.tp__o)) % 0.61/0.86 (define @t76 () (tptp.p (tptp.inj__o @t75))) % 0.61/0.86 (define @t77 () (@var "V0A" tptp.tp__o)) % 0.61/0.86 (define @t78 () (tptp.p (tptp.inj__o @t77))) % 0.61/0.86 (define @t79 () (or @t78 @t76 (tptp.p (tptp.inj__o @t74)))) % 0.61/0.86 (define @t80 () (or @t78 @t76)) % 0.61/0.86 (define @t81 () (@list @t77 @t75)) % 0.61/0.86 (define @t82 () (not @t76)) % 0.61/0.86 (define @t83 () (not @t78)) % 0.61/0.86 (define @t84 () (not @t80)) % 0.61/0.86 (define @t85 () (@var "V1y" tptp.tp__ty_2Einteger_2Eint)) % 0.61/0.86 (define @t86 () (tptp.inj__ty_2Einteger_2Eint @t85)) % 0.61/0.86 (define @t87 () (@var "V0x" tptp.tp__ty_2Einteger_2Eint)) % 0.61/0.86 (define @t88 () (tptp.inj__ty_2Einteger_2Eint @t87)) % 0.61/0.86 (define @t89 () (@var "V2r" tptp.tp__ty_2Einteger_2Eint)) % 0.61/0.86 (define @t90 () (tptp.inj__ty_2Einteger_2Eint @t89)) % 0.61/0.86 (define @t91 () (@var "V0p" tptp.tp__ty_2Einteger_2Eint)) % 0.61/0.86 (define @t92 () (tptp.inj__ty_2Einteger_2Eint @t91)) % 0.61/0.86 (define @t93 () (tptp.ap tptp.c_2Einteger_2Eint__divides @t92)) % 0.61/0.86 (define @t94 () (tptp.p (tptp.ap @t93 @t90))) % 0.61/0.86 (define @t95 () (@var "V1q" tptp.tp__ty_2Einteger_2Eint)) % 0.61/0.86 (define @t96 () (tptp.inj__ty_2Einteger_2Eint @t95)) % 0.61/0.86 (define @t97 () (= (tptp.p (tptp.ap @t93 (tptp.ap (tptp.ap tptp.c_2Einteger_2Eint__add @t90) @t96))) @t94)) % 0.61/0.86 (define @t98 () (tptp.p (tptp.ap @t93 @t96))) % 0.61/0.86 (define @t99 () (@list @t91 @t95 @t89)) % 0.61/0.86 (define @t100 () (forall @t99 (=> @t98 @t97))) % 0.61/0.86 (define @t101 () (tptp.p (tptp.ap (tptp.ap tptp.c_2Einteger_2Eint__divides (tptp.ap tptp.c_2Einteger_2Eint__neg @t92)) @t96))) % 0.61/0.86 (define @t102 () (tptp.p (tptp.ap @t93 (tptp.ap tptp.c_2Einteger_2Eint__neg @t96)))) % 0.61/0.86 (define @t103 () (and (= @t102 @t98) (= @t101 @t98))) % 0.61/0.86 (define @t104 () (@list @t91 @t95)) % 0.61/0.86 (define @t105 () (forall @t104 @t103)) % 0.61/0.86 (define @t106 () (=> @t83 false)) % 0.61/0.86 (define @t107 () (@list @t77)) % 0.61/0.86 (define @t108 () (=> @t82 false)) % 0.61/0.86 (define @t109 () (=> @t78 false)) % 0.61/0.86 (define @t110 () (@var "V0p" tptp.tp__o)) % 0.61/0.86 (define @t111 () (tptp.p (tptp.inj__o @t110))) % 0.61/0.86 (define @t112 () (not @t111)) % 0.61/0.86 (define @t113 () (@var "V1q" tptp.tp__o)) % 0.61/0.86 (define @t114 () (tptp.p (tptp.inj__o @t113))) % 0.61/0.86 (define @t115 () (not @t114)) % 0.61/0.86 (define @t116 () (@var "V2r" tptp.tp__o)) % 0.61/0.86 (define @t117 () (tptp.p (tptp.inj__o @t116))) % 0.61/0.86 (define @t118 () (not @t117)) % 0.61/0.86 (define @t119 () (@list @t110 @t113 @t116)) % 0.61/0.86 (define @t120 () (or @t111 @t118)) % 0.61/0.86 (define @t121 () (or @t111 @t114)) % 0.61/0.86 (define @t122 () (tptp.p (tptp.ap @t93 (tptp.ap (tptp.ap tptp.c_2Einteger_2Eint__sub @t90) @t96)))) % 0.61/0.86 (define @t123 () (=> @t98 (= @t122 @t94))) % 0.61/0.86 (define @t124 () (forall @t99 @t123)) % 0.61/0.86 (define @t125 () (not @t124)) % 0.61/0.86 (define @t126 () (= @t94 @t122)) % 0.61/0.86 (define @t127 () (not @t98)) % 0.61/0.86 (define @t128 () (forall @t99 (or @t127 @t126))) % 0.61/0.86 (define @t129 () (@quantifiers_skolemize @t128 1)) % 0.61/0.86 (define @t130 () (@quantifiers_skolemize @t128 2)) % 0.61/0.86 (define @t131 () (tptp.fo__c_2Einteger_2Eint__sub @t130 @t129)) % 0.61/0.86 (define @t132 () (tptp.inj__ty_2Einteger_2Eint @t131)) % 0.61/0.86 (define @t133 () (tptp.inj__ty_2Einteger_2Eint @t129)) % 0.61/0.86 (define @t134 () (tptp.inj__ty_2Einteger_2Eint @t130)) % 0.61/0.86 (define @t135 () (tptp.ap (tptp.ap tptp.c_2Einteger_2Eint__sub @t134) @t133)) % 0.61/0.86 (define @t136 () (= @t132 @t135)) % 0.61/0.86 (define @t137 () (@list @t130 @t129)) % 0.61/0.86 (define @t138 () (= @t135 @t132)) % 0.61/0.86 (define @t139 () (@list false)) % 0.61/0.86 (define @t140 () (tptp.fo__c_2Einteger_2Eint__neg @t129)) % 0.61/0.86 (define @t141 () (tptp.inj__ty_2Einteger_2Eint @t140)) % 0.61/0.86 (define @t142 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t133)) % 0.61/0.86 (define @t143 () (= @t141 @t142)) % 0.61/0.86 (define @t144 () (@list @t129)) % 0.61/0.86 (define @t145 () (= @t142 @t141)) % 0.61/0.86 (define @t146 () (tptp.fo__c_2Einteger_2Eint__add @t130 @t140)) % 0.61/0.86 (define @t147 () (@quantifiers_skolemize @t128 0)) % 0.61/0.86 (define @t148 () (tptp.ap tptp.c_2Einteger_2Eint__divides (tptp.inj__ty_2Einteger_2Eint @t147))) % 0.61/0.86 (define @t149 () (tptp.p (tptp.ap @t148 @t135))) % 0.61/0.86 (define @t150 () (tptp.p (tptp.ap @t148 @t134))) % 0.61/0.86 (define @t151 () (= @t150 @t149)) % 0.61/0.86 (define @t152 () (tptp.p (tptp.ap @t148 @t133))) % 0.61/0.86 (define @t153 () (not @t152)) % 0.61/0.86 (define @t154 () (or @t153 @t151)) % 0.61/0.86 (define @t155 () (@list true)) % 0.61/0.86 (define @t156 () (@list @t154)) % 0.61/0.86 (define @t157 () (tptp.ap tptp.c_2Einteger_2Eint__add @t134)) % 0.61/0.86 (define @t158 () (tptp.ap @t157 @t141)) % 0.61/0.86 (define @t159 () (tptp.ap @t148 @t158)) % 0.61/0.86 (define @t160 () (tptp.p @t159)) % 0.61/0.86 (define @t161 () (tptp.ap @t148 @t141)) % 0.61/0.86 (define @t162 () (tptp.p @t161)) % 0.61/0.86 (define @t163 () (not @t162)) % 0.61/0.86 (define @t164 () (or @t163 (= @t160 @t150))) % 0.61/0.86 (define @t165 () (forall @t99 (or @t127 @t97))) % 0.61/0.86 (define @t166 () (= @t150 @t160)) % 0.61/0.86 (define @t167 () (or @t163 @t166)) % 0.61/0.86 (define @t168 () (= @t98 @t101)) % 0.61/0.86 (define @t169 () (forall @t104 @t168)) % 0.61/0.86 (define @t170 () (@list @t91 @t95)) % 0.61/0.86 (define @t171 () (= @t98 @t102)) % 0.61/0.86 (define @t172 () (forall @t104 @t171)) % 0.61/0.86 (define @t173 () (and @t172 @t169)) % 0.61/0.86 (define @t174 () (tptp.p (tptp.ap @t148 @t142))) % 0.61/0.86 (define @t175 () (= @t152 @t174)) % 0.61/0.86 (define @t176 () (@list false false)) % 0.61/0.86 (define @t177 () (not @t166)) % 0.61/0.86 (define @t178 () (not @t160)) % 0.61/0.86 (define @t179 () (tptp.surj__ty_2Einteger_2Eint (tptp.ap @t157 @t142))) % 0.61/0.86 (define @t180 () (tptp.surj__ty_2Einteger_2Eint @t135)) % 0.61/0.86 (define @t181 () (= @t180 @t179)) % 0.61/0.86 (define @t182 () (= @t131 (tptp.surj__ty_2Einteger_2Eint @t132))) % 0.61/0.86 (define @t183 () (tptp.inj__ty_2Einteger_2Eint @t146)) % 0.61/0.86 (define @t184 () (= @t183 @t158)) % 0.61/0.86 (define @t185 () (tptp.surj__ty_2Einteger_2Eint @t183)) % 0.61/0.86 (define @t186 () (= @t146 @t185)) % 0.61/0.86 (define @t187 () (tptp.inj__ty_2Einteger_2Eint @t179)) % 0.61/0.86 (define @t188 () (and @t149 @t138 @t181 @t182 @t145 @t184 @t186)) % 0.61/0.86 (define @t189 () (not @t186)) % 0.61/0.86 (define @t190 () (not @t184)) % 0.61/0.86 (define @t191 () (not @t145)) % 0.61/0.86 (define @t192 () (not @t182)) % 0.61/0.86 (define @t193 () (not @t181)) % 0.61/0.86 (define @t194 () (not @t138)) % 0.61/0.86 (define @t195 () (not @t149)) % 0.61/0.86 (define @t196 () (and @t195 @t138 @t181 @t182 @t145 @t184 @t186)) % 0.61/0.86 (assume @p1 (forall @t10 (=> @t9 (forall @t7 (=> @t6 (tptp.mem @t4 @t1)))))) % 0.61/0.86 (assume @p2 (forall @t18 (=> @t17 (forall @t16 (=> @t15 (=> (= @t14 @t13) (= @t12 @t11))))))) % 0.61/0.86 (assume @p3 (forall @t10 (=> @t9 (forall (@list @t19) (=> (tptp.mem @t19 @t8) (=> (forall @t7 (=> @t6 (= @t4 (tptp.ap @t19 @t2)))) (= @t3 @t19))))))) % 0.61/0.86 (assume @p4 (forall (@list @t5 @t20 @t2) (=> @t6 (= (tptp.ap (tptp.k @t5 @t20) @t2) @t20)))) % 0.61/0.86 (assume @p5 (forall @t21 (=> @t6 (= (tptp.ap (tptp.i @t5) @t2) @t2)))) % 0.61/0.86 (assume @p6 (forall @t24 (= (tptp.surj__o @t23) @t22))) % 0.61/0.86 (assume @p7 (forall @t24 (tptp.mem @t23 tptp.bool))) % 0.61/0.86 (assume @p8 (forall @t7 (=> (tptp.mem @t2 tptp.bool) (= @t2 (tptp.inj__o (tptp.surj__o @t2)))))) % 0.61/0.86 (assume @p9 (tptp.mem tptp.c_2Ebool_2ET tptp.bool)) % 0.61/0.86 (assume @p10 (= (tptp.inj__o tptp.fo__c_2Ebool_2ET) tptp.c_2Ebool_2ET)) % 0.61/0.86 (assume @p11 (tptp.p tptp.c_2Ebool_2ET)) % 0.61/0.86 (assume @p12 (forall @t28 (tptp.mem (tptp.c_2Ebool_2E_3F @t25) @t27))) % 0.61/0.86 (assume @p13 (forall @t31 (=> @t30 (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_3F @t5) @t12)) (exists @t7 (and @t6 @t29)))))) % 0.61/0.86 (assume @p14 @t36) % 0.61/0.86 (assume @p15 (forall @t35 (tptp.mem @t33 tptp.ty_2Einteger_2Eint))) % 0.61/0.86 (assume @p16 (forall @t7 (=> (tptp.mem @t2 tptp.ty_2Einteger_2Eint) (= @t2 (tptp.inj__ty_2Einteger_2Eint (tptp.surj__ty_2Einteger_2Eint @t2)))))) % 0.61/0.86 (assume @p17 (tptp.mem tptp.c_2Einteger_2Eint__sub @t38)) % 0.61/0.86 (assume @p18 @t44) % 0.61/0.86 (assume @p19 (tptp.mem tptp.c_2Einteger_2Eint__add @t38)) % 0.61/0.86 (assume @p20 (forall @t43 (= (tptp.inj__ty_2Einteger_2Eint (tptp.fo__c_2Einteger_2Eint__add @t41 @t39)) (tptp.ap (tptp.ap tptp.c_2Einteger_2Eint__add @t42) @t40)))) % 0.61/0.86 (assume @p21 (tptp.mem tptp.c_2Einteger_2Eint__neg @t37)) % 0.61/0.86 (assume @p22 @t45) % 0.61/0.86 (assume @p23 (tptp.mem tptp.c_2Einteger_2Eint__divides (tptp.arr tptp.ty_2Einteger_2Eint (tptp.arr tptp.ty_2Einteger_2Eint tptp.bool)))) % 0.61/0.86 (assume @p24 (forall @t43 (= (tptp.inj__o (tptp.fo__c_2Einteger_2Eint__divides @t41 @t39)) (tptp.ap (tptp.ap tptp.c_2Einteger_2Eint__divides @t42) @t40)))) % 0.61/0.86 (assume @p25 (tptp.mem tptp.c_2Ebool_2EF tptp.bool)) % 0.61/0.86 (assume @p26 (= (tptp.inj__o tptp.fo__c_2Ebool_2EF) tptp.c_2Ebool_2EF)) % 0.61/0.86 (assume @p27 (not (tptp.p tptp.c_2Ebool_2EF))) % 0.61/0.86 (assume @p28 (tptp.mem tptp.c_2Emin_2E_3D_3D_3E @t47)) % 0.61/0.86 (assume @p29 (forall @t52 (= (tptp.inj__o (tptp.fo__c_2Emin_2E_3D_3D_3E @t50 @t48)) (tptp.ap (tptp.ap tptp.c_2Emin_2E_3D_3D_3E @t51) @t49)))) % 0.61/0.86 (assume @p30 (forall @t18 (=> @t17 (forall @t16 (=> @t15 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Emin_2E_3D_3D_3E @t12) @t11)) (=> @t14 @t13))))))) % 0.61/0.86 (assume @p31 (tptp.mem tptp.c_2Ebool_2E_5C_2F @t47)) % 0.61/0.86 (assume @p32 (forall @t52 (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_5C_2F @t50 @t48)) (tptp.ap (tptp.ap tptp.c_2Ebool_2E_5C_2F @t51) @t49)))) % 0.61/0.86 (assume @p33 (forall @t18 (=> @t17 (forall @t16 (=> @t15 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_5C_2F @t12) @t11)) (or @t14 @t13))))))) % 0.61/0.86 (assume @p34 (tptp.mem tptp.c_2Ebool_2E_2F_5C @t47)) % 0.61/0.86 (assume @p35 (forall @t52 (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_2F_5C @t50 @t48)) (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C @t51) @t49)))) % 0.61/0.86 (assume @p36 (forall @t18 (=> @t17 (forall @t16 (=> @t15 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C @t12) @t11)) (and @t14 @t13))))))) % 0.61/0.86 (assume @p37 (tptp.mem tptp.c_2Ebool_2E_7E @t46)) % 0.61/0.86 (assume @p38 (forall (@list @t50) (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_7E @t50)) (tptp.ap tptp.c_2Ebool_2E_7E @t51)))) % 0.61/0.86 (assume @p39 (forall @t18 (=> @t17 (= (tptp.p (tptp.ap tptp.c_2Ebool_2E_7E @t12)) (not @t14))))) % 0.61/0.86 (assume @p40 (forall @t28 (tptp.mem (tptp.c_2Emin_2E_3D @t25) (tptp.arr @t25 @t26)))) % 0.61/0.86 (assume @p41 (forall @t21 (=> @t6 (forall (@list @t20) (=> (tptp.mem @t20 @t5) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D @t5) @t2) @t20)) (= @t2 @t20))))))) % 0.61/0.86 (assume @p42 (forall @t28 (tptp.mem (tptp.c_2Ebool_2E_21 @t25) @t27))) % 0.61/0.86 (assume @p43 (forall @t31 (=> @t30 (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_21 @t5) @t12)) (forall @t7 (=> @t6 @t29)))))) % 0.61/0.86 (assume @p44 true) % 0.61/0.86 (assume @p45 (forall (@list @t55 @t53) (=> (=> @t56 @t54) (=> (=> @t54 @t56) (= @t56 @t54))))) % 0.61/0.86 (assume @p46 (forall @t61 (=> @t60 @t59))) % 0.61/0.86 (assume @p47 (forall @t61 (=> @t59 @t60))) % 0.61/0.86 (assume @p48 (forall @t61 (and (= (=> true @t58) @t58) (= (=> @t58 true) true) (= (=> false @t58) true) (= (=> @t58 @t58) true) (= @t60 @t59)))) % 0.61/0.86 (assume @p49 (and @t62 (= (not true) false) (= (not false) true))) % 0.61/0.86 (assume @p50 (forall @t61 (and (= (= true @t58) @t58) (= (= @t58 true) @t58) (= (= false @t58) @t59) (= (= @t58 false) @t59)))) % 0.61/0.86 (assume @p51 (forall @t70 (=> @t69 (= (not (forall (@list @t68) (=> (tptp.mem @t68 @t25) (tptp.p (tptp.ap @t64 @t68))))) (exists @t67 (and @t66 (not @t65))))))) % 0.61/0.86 (assume @p52 (forall @t70 (=> @t69 (forall (@list @t72) (=> (tptp.mem @t72 @t26) (= (forall @t67 (=> @t66 (and @t65 (tptp.p (tptp.ap @t72 @t63))))) (and (forall (@list @t73) (=> (tptp.mem @t73 @t25) (tptp.p (tptp.ap @t64 @t73)))) (forall (@list @t71) (=> (tptp.mem @t71 @t25) (tptp.p (tptp.ap @t72 @t71))))))))))) % 0.61/0.86 (assume @p53 (forall (@list @t77 @t75 @t74) (= @t79 @t79))) % 0.61/0.86 (assume @p54 (forall @t81 (= @t80 (or @t76 @t78)))) % 0.61/0.86 (assume @p55 (forall @t81 (and (= (not (and @t78 @t76)) (or @t83 @t82)) (= @t84 (and @t83 @t82))))) % 0.61/0.86 (assume @p56 (forall (@list @t87 @t85) (= (tptp.surj__ty_2Einteger_2Eint (tptp.ap (tptp.ap tptp.c_2Einteger_2Eint__sub @t88) @t86)) (tptp.surj__ty_2Einteger_2Eint (tptp.ap (tptp.ap tptp.c_2Einteger_2Eint__add @t88) (tptp.ap tptp.c_2Einteger_2Eint__neg @t86)))))) % 0.61/0.86 (assume @p57 @t100) % 0.61/0.86 (assume @p58 @t105) % 0.61/0.86 (assume @p59 @t62) % 0.61/0.86 (assume @p60 (forall @t107 (=> @t78 @t106))) % 0.61/0.86 (assume @p61 (forall @t81 (= (=> @t84 false) (=> @t109 @t108)))) % 0.61/0.86 (assume @p62 (forall @t81 (= (=> (not (or @t83 @t76)) false) (=> @t78 @t108)))) % 0.61/0.86 (assume @p63 (forall @t107 (=> @t106 (=> @t109 false)))) % 0.61/0.86 (assume @p64 (forall @t119 (= (= @t111 (= @t114 @t117)) (and (or @t111 @t114 @t117) (or @t111 @t118 @t115) (or @t114 @t118 @t112) (or @t117 @t115 @t112))))) % 0.61/0.86 (assume @p65 (forall @t119 (= (= @t111 (and @t114 @t117)) (and (or @t111 @t115 @t118) (or @t114 @t112) (or @t117 @t112))))) % 0.61/0.86 (assume @p66 (forall @t119 (= (= @t111 (or @t114 @t117)) (and (or @t111 @t115) @t120 (or @t114 @t117 @t112))))) % 0.61/0.86 (assume @p67 (forall @t119 (= (= @t111 (=> @t114 @t117)) (and @t121 @t120 (or @t115 @t117 @t112))))) % 0.61/0.86 (assume @p68 (forall (@list @t110 @t113) (= (= @t111 @t115) (and @t121 (or @t115 @t112))))) % 0.61/0.86 (assume @p69 @t125) % 0.61/0.86 (step @p70 :rule eq-symm :args (@t132 @t135)) % 0.61/0.86 (step @p71 :rule refl :args (@t44)) % 0.61/0.86 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t44 @t136))) % 0.61/0.86 (assume-push @p269 @t44) % 0.61/0.86 (step @p74 :rule instantiate :premises (@p18) :args (@t137)) % 0.61/0.86 (step-pop @p270 :rule scope :premises (@p74)) % 0.61/0.86 (step @p75 :rule process_scope :premises (@p270) :args (@t136)) % 0.61/0.86 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 0.61/0.86 (step @p78 :rule implies_elim :premises (@p77)) % 0.61/0.86 (step @p79 :rule chain_m_resolution :premises (@p78 @p18) :args (@t138 @t139 (@list @t44))) % 0.61/0.86 (step @p80 :rule instantiate :premises (@p56) :args (@t137)) % 0.61/0.86 (step @p81 :rule eq-symm :args (@t34 @t32)) % 0.61/0.86 (step @p82 :rule cong :premises (@p81) :args (@t36)) % 0.61/0.86 (step @p83 :rule eq_resolve :premises (@p14 @p82)) % 0.61/0.86 (step @p84 :rule instantiate :premises (@p83) :args ((@list @t131))) % 0.61/0.86 (step @p85 :rule eq-symm :args (@t141 @t142)) % 0.61/0.86 (step @p86 :rule refl :args (@t45)) % 0.61/0.86 (step @p87 :rule cong :premises (@p86 @p85) :args ((=> @t45 @t143))) % 0.61/0.86 (assume-push @p271 @t45) % 0.61/0.86 (step @p89 :rule instantiate :premises (@p22) :args (@t144)) % 0.61/0.86 (step-pop @p272 :rule scope :premises (@p89)) % 0.61/0.86 (step @p90 :rule process_scope :premises (@p272) :args (@t143)) % 0.61/0.86 (step @p92 :rule eq_resolve :premises (@p90 @p87)) % 0.61/0.86 (step @p93 :rule implies_elim :premises (@p92)) % 0.61/0.86 (step @p94 :rule chain_m_resolution :premises (@p93 @p22) :args (@t145 @t139 (@list @t45))) % 0.61/0.86 (step @p95 :rule instantiate :premises (@p20) :args ((@list @t130 @t140))) % 0.61/0.86 (step @p96 :rule instantiate :premises (@p83) :args ((@list @t146))) % 0.61/0.86 (step @p97 :rule bool-impl-elim :args (@t98 @t126)) % 0.61/0.86 (step @p98 :rule cong :premises (@p97) :args ((forall @t99 (=> @t98 @t126)))) % 0.61/0.86 (step @p99 :rule eq-symm :args (@t122 @t94)) % 0.61/0.86 (step @p100 :rule refl :args (@t98)) % 0.61/0.86 (step @p101 :rule cong :premises (@p100 @p99) :args (@t123)) % 0.61/0.86 (step @p102 :rule cong :premises (@p101) :args (@t124)) % 0.61/0.86 (step @p103 :rule trans :premises (@p102 @p98)) % 0.61/0.86 (step @p104 :rule cong :premises (@p103) :args (@t125)) % 0.61/0.86 (step @p105 :rule eq_resolve :premises (@p69 @p104)) % 0.61/0.86 (step @p106 :rule skolemize :premises (@p105)) % 0.61/0.86 (step @p107 :rule cnf_or_neg :args (@t154 1)) % 0.61/0.86 (step @p108 :rule chain_m_resolution :premises (@p107 @p106) :args ((not @t151) @t155 @t156)) % 0.61/0.86 (step @p109 :rule cnf_equiv_neg1 :args (@t151)) % 0.61/0.86 (step @p110 :rule reordering :premises (@p109) :args ((or @t150 @t149 @t151))) % 0.61/0.86 (step @p111 :rule bool-impl-elim :args (@t98 @t97)) % 0.61/0.86 (step @p112 :rule cong :premises (@p111) :args (@t100)) % 0.61/0.86 (step @p113 :rule eq_resolve :premises (@p57 @p112)) % 0.61/0.86 (step @p114 :rule eq-symm :args (@t160 @t150)) % 0.61/0.86 (step @p115 :rule refl :args (@t163)) % 0.61/0.86 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t164)) % 0.61/0.86 (step @p117 :rule refl :args (@t165)) % 0.61/0.86 (step @p118 :rule cong :premises (@p117 @p116) :args ((=> @t165 @t164))) % 0.61/0.86 (assume-push @p273 @t165) % 0.61/0.86 (step @p120 :rule instantiate :premises (@p113) :args ((@list @t147 @t140 @t130))) % 0.61/0.86 (step-pop @p274 :rule scope :premises (@p120)) % 0.61/0.86 (step @p121 :rule process_scope :premises (@p274) :args (@t164)) % 0.61/0.86 (step @p123 :rule eq_resolve :premises (@p121 @p118)) % 0.61/0.86 (step @p124 :rule implies_elim :premises (@p123)) % 0.61/0.86 (step @p125 :rule chain_m_resolution :premises (@p124 @p113) :args (@t167 @t139 (@list @t165))) % 0.61/0.86 (step @p126 :rule alpha_equiv :args (@t169 @t170 (@list (@var "BOUND_VARIABLE_8313" tptp.tp__ty_2Einteger_2Eint) (@var "BOUND_VARIABLE_8315" tptp.tp__ty_2Einteger_2Eint)))) % 0.61/0.86 (step @p127 :rule alpha_equiv :args (@t172 @t170 (@list (@var "BOUND_VARIABLE_8298" tptp.tp__ty_2Einteger_2Eint) (@var "BOUND_VARIABLE_8300" tptp.tp__ty_2Einteger_2Eint)))) % 0.61/0.86 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t173)) % 0.61/0.86 (step @p129 :rule quant-miniscope-and :args ((= (forall @t104 (and @t171 @t168)) @t173))) % 0.61/0.86 (step @p130 :rule trans :premises (@p129 @p128)) % 0.61/0.86 (step @p131 :rule eq-symm :args (@t101 @t98)) % 0.61/0.86 (step @p132 :rule eq-symm :args (@t102 @t98)) % 0.61/0.86 (step @p133 :rule nary_cong :premises (@p132 @p131) :args (@t103)) % 0.61/0.86 (step @p134 :rule cong :premises (@p133) :args (@t105)) % 0.61/0.86 (step @p135 :rule trans :premises (@p134 @p130)) % 0.61/0.86 (step @p136 :rule eq_resolve :premises (@p58 @p135)) % 0.61/0.86 (step @p137 :rule and_elim :premises (@p136) :args (0)) % 0.61/0.86 (step @p138 :rule instantiate :premises (@p137) :args ((@list @t147 @t129))) % 0.61/0.86 (step @p139 :rule bool-double-not-elim :args (@t152)) % 0.61/0.86 (step @p140 :rule refl :args (@t154)) % 0.61/0.86 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t154 (not @t153)))) % 0.61/0.86 (step @p142 :rule cnf_or_neg :args (@t154 0)) % 0.61/0.86 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 0.61/0.86 (step @p144 :rule reordering :premises (@p143) :args ((or @t152 @t154))) % 0.61/0.86 (step @p145 :rule chain_m_resolution :premises (@p144 @p106) :args (@t152 @t155 @t156)) % 0.61/0.86 (step @p146 :rule cnf_equiv_pos1 :args (@t175)) % 0.61/0.86 (step @p147 :rule reordering :premises (@p146) :args ((or @t153 @t174 (not @t175)))) % 0.61/0.86 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p138) :args (@t174 @t176 (@list @t152 @t175))) % 0.61/0.86 (step @p149 :rule true_intro :premises (@p148)) % 0.61/0.86 (step @p89 :rule instantiate :premises (@p22) :args (@t144)) % 0.61/0.86 (step @p150 :rule refl :args (@t148)) % 0.61/0.86 (step @p151 :rule cong :premises (@p150 @p89) :args (@t161)) % 0.61/0.86 (step @p152 :rule cong :premises (@p151) :args (@t162)) % 0.61/0.86 (step @p153 :rule trans :premises (@p152 @p149)) % 0.61/0.86 (step @p154 :rule true_elim :premises (@p153)) % 0.61/0.86 (step @p155 :rule cnf_or_pos :args (@t167)) % 0.61/0.86 (step @p156 :rule reordering :premises (@p155) :args ((or @t163 @t166 (not @t167)))) % 0.61/0.86 (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p125) :args (@t166 @t176 (@list @t162 @t167))) % 0.61/0.86 (step @p158 :rule cnf_equiv_pos2 :args (@t166)) % 0.61/0.86 (step @p159 :rule reordering :premises (@p158) :args ((or @t150 @t178 @t177))) % 0.61/0.86 (assume-push @p275 @t149) % 0.61/0.86 (assume-push @p276 @t138) % 0.61/0.86 (assume-push @p277 @t181) % 0.61/0.86 (assume-push @p278 @t182) % 0.61/0.86 (assume-push @p279 @t145) % 0.61/0.86 (assume-push @p280 @t184) % 0.61/0.86 (assume-push @p281 @t186) % 0.61/0.86 (assume-push @p282 @t149) % 0.61/0.86 (assume-push @p283 @t138) % 0.61/0.86 (assume-push @p284 @t182) % 0.61/0.86 (assume-push @p285 @t181) % 0.61/0.86 (assume-push @p286 @t145) % 0.61/0.86 (assume-push @p287 @t184) % 0.61/0.86 (assume-push @p288 @t186) % 0.61/0.86 (step @p174 :rule true_intro :premises (@p275)) % 0.61/0.86 (step @p74 :rule instantiate :premises (@p18) :args (@t137)) % 0.61/0.86 (step @p175 :rule symm :premises (@p84)) % 0.61/0.86 (step @p176 :rule cong :premises (@p79) :args (@t180)) % 0.61/0.86 (step @p177 :rule symm :premises (@p80)) % 0.61/0.86 (step @p178 :rule trans :premises (@p177 @p176 @p175)) % 0.61/0.86 (step @p179 :rule cong :premises (@p178) :args (@t187)) % 0.61/0.86 (step @p180 :rule refl :args (@t157)) % 0.61/0.86 (step @p181 :rule cong :premises (@p180 @p89) :args (@t158)) % 0.61/0.86 (step @p182 :rule trans :premises (@p95 @p181)) % 0.61/0.86 (step @p183 :rule cong :premises (@p182) :args (@t185)) % 0.61/0.86 (step @p184 :rule trans :premises (@p96 @p183)) % 0.61/0.86 (step @p185 :rule cong :premises (@p184) :args (@t183)) % 0.61/0.86 (step @p186 :rule symm :premises (@p95)) % 0.61/0.86 (step @p187 :rule trans :premises (@p186 @p185 @p179 @p74)) % 0.61/0.86 (step @p188 :rule cong :premises (@p150 @p187) :args (@t159)) % 0.61/0.86 (step @p189 :rule cong :premises (@p188) :args (@t160)) % 0.61/0.86 (step @p190 :rule trans :premises (@p189 @p174)) % 0.61/0.86 (step @p191 :rule true_elim :premises (@p190)) % 0.61/0.86 (step-pop @p289 :rule scope :premises (@p191)) % 0.61/0.86 (step-pop @p290 :rule scope :premises (@p289)) % 0.61/0.86 (step-pop @p291 :rule scope :premises (@p290)) % 0.61/0.86 (step-pop @p292 :rule scope :premises (@p291)) % 0.61/0.86 (step-pop @p293 :rule scope :premises (@p292)) % 0.61/0.86 (step-pop @p294 :rule scope :premises (@p293)) % 0.61/0.86 (step-pop @p295 :rule scope :premises (@p294)) % 0.61/0.86 (step @p192 :rule process_scope :premises (@p295) :args (@t160)) % 0.61/0.86 (step @p200 :rule and_intro :premises (@p275 @p79 @p84 @p80 @p94 @p95 @p96)) % 0.61/0.86 (step @p201 :rule modus_ponens :premises (@p200 @p192)) % 0.61/0.86 (step-pop @p296 :rule scope :premises (@p201)) % 0.61/0.86 (step-pop @p297 :rule scope :premises (@p296)) % 0.61/0.86 (step-pop @p298 :rule scope :premises (@p297)) % 0.61/0.86 (step-pop @p299 :rule scope :premises (@p298)) % 0.61/0.86 (step-pop @p300 :rule scope :premises (@p299)) % 0.61/0.86 (step-pop @p301 :rule scope :premises (@p300)) % 0.61/0.86 (step-pop @p302 :rule scope :premises (@p301)) % 0.61/0.86 (step @p202 :rule process_scope :premises (@p302) :args (@t160)) % 0.61/0.86 (step @p210 :rule implies_elim :premises (@p202)) % 0.61/0.86 (step @p211 :rule cnf_and_neg :args (@t188)) % 0.61/0.86 (step @p212 :rule resolution :premises (@p211 @p210) :args (true @t188)) % 0.61/0.86 (step @p213 :rule reordering :premises (@p212) :args ((or @t195 @t194 @t193 @t192 @t191 @t190 @t160 @t189))) % 0.61/0.86 (step @p214 :rule chain_m_resolution :premises (@p213 @p96 @p95 @p94 @p84 @p80 @p79 @p159 @p157 @p110 @p108) :args (@t150 (@list false false false false false false true false false true) (@list @t186 @t184 @t145 @t182 @t181 @t138 @t160 @t166 @t149 @t151))) % 0.61/0.86 (step @p215 :rule cnf_equiv_neg2 :args (@t151)) % 0.61/0.86 (step @p216 :rule chain_m_resolution :premises (@p215 @p108 @p214) :args (@t195 (@list true false) (@list @t151 @t150))) % 0.61/0.86 (step @p217 :rule cnf_equiv_pos1 :args (@t166)) % 0.61/0.86 (step @p218 :rule reordering :premises (@p217) :args ((or (not @t150) @t160 @t177))) % 0.61/0.86 (step @p219 :rule chain_m_resolution :premises (@p218 @p214 @p157) :args (@t160 @t176 (@list @t150 @t166))) % 0.61/0.86 (step @p220 :rule refl :args (@t178)) % 0.61/0.86 (step @p221 :rule refl :args (@t189)) % 0.61/0.86 (step @p222 :rule refl :args (@t190)) % 0.61/0.86 (step @p223 :rule refl :args (@t191)) % 0.61/0.86 (step @p224 :rule refl :args (@t192)) % 0.61/0.86 (step @p225 :rule refl :args (@t193)) % 0.61/0.86 (step @p226 :rule refl :args (@t194)) % 0.61/0.86 (step @p227 :rule bool-double-not-elim :args (@t149)) % 0.61/0.86 (step @p228 :rule nary_cong :premises (@p227 @p226 @p225 @p224 @p223 @p222 @p221 @p220) :args ((or (not @t195) @t194 @t193 @t192 @t191 @t190 @t189 @t178))) % 0.61/0.86 (assume-push @p303 @t195) % 0.61/0.86 (assume-push @p304 @t138) % 0.61/0.86 (assume-push @p305 @t181) % 0.61/0.86 (assume-push @p306 @t182) % 0.61/0.86 (assume-push @p307 @t145) % 0.61/0.86 (assume-push @p308 @t184) % 0.61/0.86 (assume-push @p309 @t186) % 0.61/0.86 (assume-push @p310 @t195) % 0.61/0.86 (assume-push @p311 @t138) % 0.61/0.86 (assume-push @p312 @t182) % 0.61/0.86 (assume-push @p313 @t181) % 0.61/0.86 (assume-push @p314 @t145) % 0.61/0.86 (assume-push @p315 @t184) % 0.61/0.86 (assume-push @p316 @t186) % 0.61/0.86 (step @p243 :rule false_intro :premises (@p303)) % 0.61/0.86 (step @p74 :rule instantiate :premises (@p18) :args (@t137)) % 0.61/0.86 (step @p175 :rule symm :premises (@p84)) % 0.61/0.86 (step @p176 :rule cong :premises (@p79) :args (@t180)) % 0.61/0.86 (step @p177 :rule symm :premises (@p80)) % 0.61/0.86 (step @p178 :rule trans :premises (@p177 @p176 @p175)) % 0.61/0.86 (step @p179 :rule cong :premises (@p178) :args (@t187)) % 0.61/0.86 (step @p180 :rule refl :args (@t157)) % 0.61/0.86 (step @p181 :rule cong :premises (@p180 @p89) :args (@t158)) % 0.61/0.86 (step @p182 :rule trans :premises (@p95 @p181)) % 0.61/0.86 (step @p183 :rule cong :premises (@p182) :args (@t185)) % 0.61/0.86 (step @p184 :rule trans :premises (@p96 @p183)) % 0.61/0.86 (step @p185 :rule cong :premises (@p184) :args (@t183)) % 0.61/0.86 (step @p186 :rule symm :premises (@p95)) % 0.61/0.86 (step @p187 :rule trans :premises (@p186 @p185 @p179 @p74)) % 0.61/0.86 (step @p188 :rule cong :premises (@p150 @p187) :args (@t159)) % 0.61/0.86 (step @p189 :rule cong :premises (@p188) :args (@t160)) % 0.61/0.86 (step @p244 :rule trans :premises (@p189 @p243)) % 0.61/0.86 (step @p245 :rule false_elim :premises (@p244)) % 0.61/0.86 (step-pop @p317 :rule scope :premises (@p245)) % 0.61/0.86 (step-pop @p318 :rule scope :premises (@p317)) % 0.61/0.86 (step-pop @p319 :rule scope :premises (@p318)) % 0.61/0.86 (step-pop @p320 :rule scope :premises (@p319)) % 0.61/0.86 (step-pop @p321 :rule scope :premises (@p320)) % 0.61/0.86 (step-pop @p322 :rule scope :premises (@p321)) % 0.61/0.86 (step-pop @p323 :rule scope :premises (@p322)) % 0.61/0.86 (step @p246 :rule process_scope :premises (@p323) :args (@t178)) % 0.61/0.86 (step @p254 :rule and_intro :premises (@p303 @p79 @p84 @p80 @p94 @p95 @p96)) % 0.61/0.86 (step @p255 :rule modus_ponens :premises (@p254 @p246)) % 0.61/0.86 (step-pop @p324 :rule scope :premises (@p255)) % 0.61/0.86 (step-pop @p325 :rule scope :premises (@p324)) % 0.61/0.86 (step-pop @p326 :rule scope :premises (@p325)) % 0.61/0.86 (step-pop @p327 :rule scope :premises (@p326)) % 0.61/0.86 (step-pop @p328 :rule scope :premises (@p327)) % 0.61/0.86 (step-pop @p329 :rule scope :premises (@p328)) % 0.61/0.86 (step-pop @p330 :rule scope :premises (@p329)) % 0.61/0.86 (step @p256 :rule process_scope :premises (@p330) :args (@t178)) % 0.61/0.86 (step @p264 :rule implies_elim :premises (@p256)) % 0.61/0.86 (step @p265 :rule cnf_and_neg :args (@t196)) % 0.61/0.86 (step @p266 :rule resolution :premises (@p265 @p264) :args (true @t196)) % 0.61/0.86 (step @p267 :rule eq_resolve :premises (@p266 @p228)) % 0.61/0.86 (step @p268 false :rule chain_m_resolution :premises (@p267 @p219 @p216 @p96 @p95 @p94 @p84 @p80 @p79) :args (false (@list false true false false false false false false) (@list @t160 @t149 @t186 @t184 @t145 @t182 @t181 @t138))) % 0.61/0.86 ) % 0.61/0.86 % SZS output end Proof % 0.61/0.86 % cvc5 exiting %------------------------------------------------------------------------------