%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM142+1 : TPTP v9.2.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:10:35 AM UTC 2026 % Result : Theorem 204.95s 205.26s % Output : Proof 204.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM142+1 : TPTP v9.2.1. Released v6.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.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 : Mon Jun 1 20:30:29 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 204.95/205.26 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 204.95/205.26 --- Run --no-e-matching --full-saturate-quant at 6... % 204.95/205.26 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 204.95/205.26 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 204.95/205.26 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 204.95/205.26 --- Run --trigger-sel=max --full-saturate-quant at 15... % 204.95/205.26 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 204.95/205.26 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 204.95/205.26 --- Run --prenex-quant=none --full-saturate-quant at 30... % 204.95/205.26 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 204.95/205.26 --- Run --relevant-triggers --full-saturate-quant at 30... % 204.95/205.26 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 204.95/205.26 % SZS status Theorem % 204.95/205.26 % SZS output start Proof % 204.95/205.26 ( % 204.95/205.26 (declare-sort $$unsorted 0) % 204.95/205.26 (declare-const tptp.ve2app $$unsorted) % 204.95/205.26 (declare-const tptp.ve1app $$unsorted) % 204.95/205.26 (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted)) % 204.95/205.26 (declare-const tptp.vgetSomeExp (-> $$unsorted $$unsorted)) % 204.95/205.26 (declare-const tptp.vsomeExp (-> $$unsorted $$unsorted)) % 204.95/205.26 (declare-const tptp.vnoExp $$unsorted) % 204.95/205.26 (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.95/205.26 (declare-const tptp.vgensym (-> $$unsorted $$unsorted)) % 204.95/205.26 (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted)) % 204.95/205.26 (declare-const tptp.visValue (-> $$unsorted Bool)) % 204.95/205.26 (declare-const tptp.vempty $$unsorted) % 204.95/205.26 (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.95/205.26 (declare-const tptp.vnoType $$unsorted) % 204.95/205.26 (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool)) % 204.95/205.26 (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool)) % 204.95/205.26 (declare-const tptp.vsomeType (-> $$unsorted $$unsorted)) % 204.95/205.26 (declare-const tptp.visSomeExp (-> $$unsorted Bool)) % 204.95/205.26 (declare-const tptp.vvar (-> $$unsorted $$unsorted)) % 204.95/205.26 (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted)) % 204.95/205.26 (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.95/205.26 (declare-const tptp.visSomeType (-> $$unsorted Bool)) % 204.95/205.26 (declare-const tptp.vreduce (-> $$unsorted $$unsorted)) % 204.95/205.26 (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted)) % 204.95/205.26 (define @t1 () (@var "VVar1" $$unsorted)) % 204.95/205.26 (define @t2 () (@var "VVar0" $$unsorted)) % 204.95/205.26 (define @t3 () (tptp.vvar @t2)) % 204.95/205.26 (define @t4 () (= @t3 (tptp.vvar @t1))) % 204.95/205.26 (define @t5 () (= @t2 @t1)) % 204.95/205.26 (define @t6 () (@var "VExp1" $$unsorted)) % 204.95/205.26 (define @t7 () (@var "VTyp1" $$unsorted)) % 204.95/205.26 (define @t8 () (@var "VExp0" $$unsorted)) % 204.95/205.26 (define @t9 () (@var "VTyp0" $$unsorted)) % 204.95/205.26 (define @t10 () (tptp.vabs @t2 @t9 @t8)) % 204.95/205.26 (define @t11 () (= @t10 (tptp.vabs @t1 @t7 @t6))) % 204.95/205.26 (define @t12 () (= @t8 @t6)) % 204.95/205.26 (define @t13 () (= @t9 @t7)) % 204.95/205.26 (define @t14 () (and @t5 @t13 @t12)) % 204.95/205.26 (define @t15 () (@var "VExp3" $$unsorted)) % 204.95/205.26 (define @t16 () (@var "VExp2" $$unsorted)) % 204.95/205.26 (define @t17 () (tptp.vapp @t8 @t6)) % 204.95/205.26 (define @t18 () (= @t17 (tptp.vapp @t16 @t15))) % 204.95/205.26 (define @t19 () (= @t6 @t15)) % 204.95/205.26 (define @t20 () (= @t8 @t16)) % 204.95/205.26 (define @t21 () (and @t20 @t19)) % 204.95/205.26 (define @t22 () (and (=> @t18 @t21) (=> @t21 @t18))) % 204.95/205.26 (define @t23 () (@list @t8 @t6 @t16 @t15)) % 204.95/205.26 (define @t24 () (forall @t23 @t22)) % 204.95/205.26 (define @t25 () (forall (@list @t2 @t8 @t6) (not (= @t3 @t17)))) % 204.95/205.26 (define @t26 () (forall (@list @t2 @t9 @t8 @t6 @t16) (not (= @t10 (tptp.vapp @t6 @t16))))) % 204.95/205.26 (define @t27 () (tptp.visValue @t8)) % 204.95/205.26 (define @t28 () (@var "Ve" $$unsorted)) % 204.95/205.26 (define @t29 () (@var "VS" $$unsorted)) % 204.95/205.26 (define @t30 () (@var "Vx" $$unsorted)) % 204.95/205.26 (define @t31 () (tptp.vabs @t30 @t29 @t28)) % 204.95/205.26 (define @t32 () (= @t8 @t31)) % 204.95/205.26 (define @t33 () (not @t27)) % 204.95/205.26 (define @t34 () (tptp.vvar @t30)) % 204.95/205.26 (define @t35 () (= @t8 @t34)) % 204.95/205.26 (define @t36 () (@var "Ve2" $$unsorted)) % 204.95/205.26 (define @t37 () (@var "Ve1" $$unsorted)) % 204.95/205.26 (define @t38 () (tptp.vapp @t37 @t36)) % 204.95/205.26 (define @t39 () (= @t8 @t38)) % 204.95/205.26 (define @t40 () (@var "Vv" $$unsorted)) % 204.95/205.26 (define @t41 () (= @t30 @t40)) % 204.95/205.26 (define @t42 () (tptp.visFreeVar @t2 @t8)) % 204.95/205.26 (define @t43 () (= @t2 @t40)) % 204.95/205.26 (define @t44 () (tptp.visFreeVar @t40 @t28)) % 204.95/205.26 (define @t45 () (and (not @t41) @t44)) % 204.95/205.26 (define @t46 () (@var "VT" $$unsorted)) % 204.95/205.26 (define @t47 () (or (tptp.visFreeVar @t40 @t37) (tptp.visFreeVar @t40 @t36))) % 204.95/205.26 (define @t48 () (= tptp.vempty tptp.vempty)) % 204.95/205.26 (define @t49 () (@var "VCtx1" $$unsorted)) % 204.95/205.26 (define @t50 () (@var "VCtx0" $$unsorted)) % 204.95/205.26 (define @t51 () (tptp.vbind @t2 @t9 @t50)) % 204.95/205.26 (define @t52 () (= @t51 (tptp.vbind @t1 @t7 @t49))) % 204.95/205.26 (define @t53 () (and @t5 @t13 (= @t50 @t49))) % 204.95/205.26 (define @t54 () (= tptp.vnoType tptp.vnoType)) % 204.95/205.26 (define @t55 () (tptp.vsomeType @t9)) % 204.95/205.26 (define @t56 () (= @t55 (tptp.vsomeType @t7))) % 204.95/205.26 (define @t57 () (@var "VOptTyp0" $$unsorted)) % 204.95/205.26 (define @t58 () (tptp.visSomeType @t57)) % 204.95/205.26 (define @t59 () (= @t57 (tptp.vsomeType @t28))) % 204.95/205.26 (define @t60 () (@var "RESULT" $$unsorted)) % 204.95/205.26 (define @t61 () (= @t60 @t28)) % 204.95/205.26 (define @t62 () (= @t60 tptp.vnoType)) % 204.95/205.26 (define @t63 () (tptp.vlookup @t2 @t50)) % 204.95/205.26 (define @t64 () (= @t60 @t63)) % 204.95/205.26 (define @t65 () (= @t50 tptp.vempty)) % 204.95/205.26 (define @t66 () (= @t2 @t30)) % 204.95/205.26 (define @t67 () (@var "VTy" $$unsorted)) % 204.95/205.26 (define @t68 () (= @t60 (tptp.vsomeType @t67))) % 204.95/205.26 (define @t69 () (@var "Vy" $$unsorted)) % 204.95/205.26 (define @t70 () (= @t30 @t69)) % 204.95/205.26 (define @t71 () (@var "VC" $$unsorted)) % 204.95/205.26 (define @t72 () (tptp.vbind @t69 @t67 @t71)) % 204.95/205.26 (define @t73 () (= @t50 @t72)) % 204.95/205.26 (define @t74 () (and @t66 @t73)) % 204.95/205.26 (define @t75 () (tptp.vlookup @t30 @t71)) % 204.95/205.26 (define @t76 () (= @t60 @t75)) % 204.95/205.26 (define @t77 () (not @t70)) % 204.95/205.26 (define @t78 () (@list @t30)) % 204.95/205.26 (define @t79 () (@var "VTx" $$unsorted)) % 204.95/205.26 (define @t80 () (tptp.vbind @t30 @t79 @t71)) % 204.95/205.26 (define @t81 () (tptp.vtcheck (tptp.vbind @t30 @t79 @t72) @t28 @t46)) % 204.95/205.26 (define @t82 () (@list @t69 @t67 @t30 @t79 @t71 @t28 @t46)) % 204.95/205.26 (define @t83 () (tptp.vsubst @t2 @t8 @t6)) % 204.95/205.26 (define @t84 () (= @t60 @t83)) % 204.95/205.26 (define @t85 () (tptp.vvar @t69)) % 204.95/205.26 (define @t86 () (= @t6 @t85)) % 204.95/205.26 (define @t87 () (= @t8 @t28)) % 204.95/205.26 (define @t88 () (and @t66 @t87 @t86)) % 204.95/205.26 (define @t89 () (= @t60 @t85)) % 204.95/205.26 (define @t90 () (tptp.vsubst @t30 @t28 @t37)) % 204.95/205.26 (define @t91 () (= @t60 (tptp.vapp @t90 (tptp.vsubst @t30 @t28 @t36)))) % 204.95/205.26 (define @t92 () (= @t6 @t38)) % 204.95/205.26 (define @t93 () (tptp.vabs @t69 @t46 @t37)) % 204.95/205.26 (define @t94 () (= @t60 @t93)) % 204.95/205.26 (define @t95 () (= @t6 @t93)) % 204.95/205.26 (define @t96 () (and @t66 @t87 @t95)) % 204.95/205.26 (define @t97 () (@var "Vfresh" $$unsorted)) % 204.95/205.26 (define @t98 () (= @t60 (tptp.vsubst @t30 @t28 (tptp.vabs @t97 @t46 (tptp.vsubst @t69 (tptp.vvar @t97) @t37))))) % 204.95/205.26 (define @t99 () (= @t97 (tptp.vgensym (tptp.vapp (tptp.vapp @t28 @t37) @t34)))) % 204.95/205.26 (define @t100 () (tptp.visFreeVar @t69 @t28)) % 204.95/205.26 (define @t101 () (= @t60 (tptp.vabs @t69 @t46 @t90))) % 204.95/205.26 (define @t102 () (not @t100)) % 204.95/205.26 (define @t103 () (= tptp.vnoExp tptp.vnoExp)) % 204.95/205.26 (define @t104 () (tptp.vsomeExp @t8)) % 204.95/205.26 (define @t105 () (= @t104 (tptp.vsomeExp @t6))) % 204.95/205.26 (define @t106 () (@var "VOptExp0" $$unsorted)) % 204.95/205.26 (define @t107 () (tptp.visSomeExp @t106)) % 204.95/205.26 (define @t108 () (= @t106 (tptp.vsomeExp @t28))) % 204.95/205.26 (define @t109 () (= @t60 tptp.vnoExp)) % 204.95/205.26 (define @t110 () (tptp.vreduce @t8)) % 204.95/205.26 (define @t111 () (= @t60 @t110)) % 204.95/205.26 (define @t112 () (=> @t111 @t109)) % 204.95/205.26 (define @t113 () (@var "Ve2red" $$unsorted)) % 204.95/205.26 (define @t114 () (tptp.vabs @t30 @t29 @t37)) % 204.95/205.26 (define @t115 () (= @t60 (tptp.vsomeExp (tptp.vapp @t114 (tptp.vgetSomeExp @t113))))) % 204.95/205.26 (define @t116 () (tptp.visSomeExp @t113)) % 204.95/205.26 (define @t117 () (= @t113 (tptp.vreduce @t36))) % 204.95/205.26 (define @t118 () (= @t8 (tptp.vapp @t114 @t36))) % 204.95/205.26 (define @t119 () (= @t60 (tptp.vsomeExp (tptp.vsubst @t30 @t36 @t37)))) % 204.95/205.26 (define @t120 () (tptp.visValue @t36)) % 204.95/205.26 (define @t121 () (not @t116)) % 204.95/205.26 (define @t122 () (not @t120)) % 204.95/205.26 (define @t123 () (@var "Ve1red" $$unsorted)) % 204.95/205.26 (define @t124 () (= @t60 (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t123) @t36)))) % 204.95/205.26 (define @t125 () (tptp.visSomeExp @t123)) % 204.95/205.26 (define @t126 () (= @t123 (tptp.vreduce @t37))) % 204.95/205.26 (define @t127 () (@var "VVe10" $$unsorted)) % 204.95/205.26 (define @t128 () (@var "VVS0" $$unsorted)) % 204.95/205.26 (define @t129 () (@var "VVx0" $$unsorted)) % 204.95/205.26 (define @t130 () (forall (@list @t129 @t128 @t127) (not (= @t37 (tptp.vabs @t129 @t128 @t127))))) % 204.95/205.26 (define @t131 () (and @t39 @t130)) % 204.95/205.26 (define @t132 () (not @t125)) % 204.95/205.26 (define @t133 () (@var "VTyp3" $$unsorted)) % 204.95/205.26 (define @t134 () (@var "VTyp2" $$unsorted)) % 204.95/205.26 (define @t135 () (= (tptp.varrow @t9 @t7) (tptp.varrow @t134 @t133))) % 204.95/205.26 (define @t136 () (and (= @t9 @t134) (= @t7 @t133))) % 204.95/205.26 (define @t137 () (= @t75 (tptp.vsomeType @t46))) % 204.95/205.26 (define @t138 () (tptp.varrow @t29 @t46)) % 204.95/205.26 (define @t139 () (tptp.vbind @t30 @t29 @t71)) % 204.95/205.26 (define @t140 () (tptp.vtcheck @t71 @t38 @t46)) % 204.95/205.26 (define @t141 () (tptp.vtcheck @t71 @t36 @t29)) % 204.95/205.26 (define @t142 () (tptp.vtcheck @t71 @t37 @t138)) % 204.95/205.26 (define @t143 () (and @t142 @t141)) % 204.95/205.26 (define @t144 () (@list @t29 @t71 @t37 @t36 @t46)) % 204.95/205.26 (define @t145 () (forall @t144 (=> @t143 @t140))) % 204.95/205.26 (define @t146 () (= @t28 @t38)) % 204.95/205.26 (define @t147 () (and @t146 @t142 @t141)) % 204.95/205.26 (define @t148 () (@list @t37 @t36 @t29)) % 204.95/205.26 (define @t149 () (exists @t148 @t147)) % 204.95/205.26 (define @t150 () (@var "VT2" $$unsorted)) % 204.95/205.26 (define @t151 () (@var "VT1" $$unsorted)) % 204.95/205.26 (define @t152 () (tptp.vtcheck (tptp.vbind @t30 @t151 @t71) @t36 @t150)) % 204.95/205.26 (define @t153 () (= @t46 (tptp.varrow @t151 @t150))) % 204.95/205.26 (define @t154 () (= @t28 (tptp.vabs @t30 @t151 @t36))) % 204.95/205.26 (define @t155 () (and @t154 @t153 @t152)) % 204.95/205.26 (define @t156 () (@list @t30 @t36 @t151 @t150)) % 204.95/205.26 (define @t157 () (exists @t156 @t155)) % 204.95/205.26 (define @t158 () (= @t28 @t34)) % 204.95/205.26 (define @t159 () (and @t158 @t137)) % 204.95/205.26 (define @t160 () (exists @t78 @t159)) % 204.95/205.26 (define @t161 () (or @t160 @t157 @t149)) % 204.95/205.26 (define @t162 () (tptp.vtcheck @t71 @t28 @t46)) % 204.95/205.26 (define @t163 () (=> @t162 @t161)) % 204.95/205.26 (define @t164 () (@list @t28 @t46 @t71)) % 204.95/205.26 (define @t165 () (forall @t164 @t163)) % 204.95/205.26 (define @t166 () (tptp.vtcheck @t139 tptp.ve1app @t46)) % 204.95/205.26 (define @t167 () (tptp.vtcheck @t71 tptp.ve1app @t46)) % 204.95/205.26 (define @t168 () (= @t75 tptp.vnoType)) % 204.95/205.26 (define @t169 () (and @t168 @t167)) % 204.95/205.26 (define @t170 () (=> @t169 @t166)) % 204.95/205.26 (define @t171 () (@list @t30 @t29 @t71 @t46)) % 204.95/205.26 (define @t172 () (forall @t171 @t170)) % 204.95/205.26 (define @t173 () (tptp.vtcheck @t139 tptp.ve2app @t46)) % 204.95/205.26 (define @t174 () (tptp.vtcheck @t71 tptp.ve2app @t46)) % 204.95/205.26 (define @t175 () (and @t168 @t174)) % 204.95/205.26 (define @t176 () (=> @t175 @t173)) % 204.95/205.26 (define @t177 () (forall @t171 @t176)) % 204.95/205.26 (define @t178 () (tptp.vapp tptp.ve1app tptp.ve2app)) % 204.95/205.26 (define @t179 () (tptp.vtcheck @t139 @t178 @t46)) % 204.95/205.26 (define @t180 () (tptp.vtcheck @t71 @t178 @t46)) % 204.95/205.26 (define @t181 () (and @t168 @t180)) % 204.95/205.26 (define @t182 () (=> @t181 @t179)) % 204.95/205.26 (define @t183 () (forall @t171 @t182)) % 204.95/205.26 (define @t184 () (not @t183)) % 204.95/205.26 (define @t185 () (@var "b_VS" it_7_$$unsorted)) % 204.95/205.26 (define @t186 () (@var "b_Ve2" it_4_$$unsorted)) % 204.95/205.26 (define @t187 () (@var "b_VC" it_67_$$unsorted)) % 204.95/205.26 (define @t188 () (@const 0 (-> it_67_$$unsorted it_4_$$unsorted it_7_$$unsorted Bool))) % 204.95/205.26 (define @t189 () (@var "b_VT" it_7_$$unsorted)) % 204.95/205.26 (define @t190 () (@const 1 (-> it_7_$$unsorted it_7_$$unsorted it_7_$$unsorted))) % 204.95/205.26 (define @t191 () (@var "b_Ve1" it_4_$$unsorted)) % 204.95/205.26 (define @t192 () (@const 2 (-> it_4_$$unsorted it_4_$$unsorted it_4_$$unsorted))) % 204.95/205.26 (define @t193 () (_ @t192 @t191 @t186)) % 204.95/205.26 (define @t194 () (@var "b_Ve" it_4_$$unsorted)) % 204.95/205.26 (define @t195 () (@list @t191 @t186 @t185)) % 204.95/205.26 (define @t196 () (@var "b_VT2" it_7_$$unsorted)) % 204.95/205.26 (define @t197 () (@var "b_Ve2" it_4_$$unsorted)) % 204.95/205.26 (define @t198 () (@var "b_VT1" it_7_$$unsorted)) % 204.95/205.26 (define @t199 () (@const 3 (-> $$unsorted it_7_$$unsorted it_67_$$unsorted it_67_$$unsorted))) % 204.95/205.26 (define @t200 () (_ @t190 @t198 @t196)) % 204.95/205.26 (define @t201 () (@const 4 (-> $$unsorted it_7_$$unsorted it_4_$$unsorted it_4_$$unsorted))) % 204.95/205.26 (define @t202 () (_ @t201 @t30 @t198 @t197)) % 204.95/205.26 (define @t203 () (@list @t30 @t197 @t198 @t196)) % 204.95/205.26 (define @t204 () (@const 5 (-> it_7_$$unsorted it_77_$$unsorted))) % 204.95/205.26 (define @t205 () (@const 6 (-> $$unsorted it_67_$$unsorted it_77_$$unsorted))) % 204.95/205.26 (define @t206 () (@const 7 (-> $$unsorted it_4_$$unsorted))) % 204.95/205.26 (define @t207 () (_ @t206 @t30)) % 204.95/205.26 (define @t208 () (forall (@list @t194 @t189 @t187) (or (not (_ @t188 @t187 @t194 @t189)) (not (forall @t78 (or (not (= @t207 @t194)) (not (= (_ @t205 @t30 @t187) (_ @t204 @t189)))))) (not (forall @t203 (or (not (= @t194 @t202)) (not (= @t189 @t200)) (not (_ @t188 (_ @t199 @t30 @t198 @t187) @t197 @t196))))) (not (forall @t195 (or (not (= @t194 @t193)) (not (_ @t188 @t187 @t191 (_ @t190 @t185 @t189))) (not (_ @t188 @t187 @t186 @t185)))))))) % 204.95/205.26 (define @t209 () (not @t141)) % 204.95/205.26 (define @t210 () (not @t142)) % 204.95/205.26 (define @t211 () (not @t146)) % 204.95/205.26 (define @t212 () (or @t211 @t210 @t209)) % 204.95/205.26 (define @t213 () (not (forall @t148 @t212))) % 204.95/205.26 (define @t214 () (not @t152)) % 204.95/205.26 (define @t215 () (not @t153)) % 204.95/205.26 (define @t216 () (not @t154)) % 204.95/205.26 (define @t217 () (or @t216 @t215 @t214)) % 204.95/205.26 (define @t218 () (not (forall @t156 @t217))) % 204.95/205.26 (define @t219 () (not (forall @t78 (or (not @t158) (not @t137))))) % 204.95/205.26 (define @t220 () (not @t162)) % 204.95/205.26 (define @t221 () (or @t220 @t219 @t218 @t213)) % 204.95/205.26 (define @t222 () (or @t219 @t218 @t213)) % 204.95/205.26 (define @t223 () (or @t210 @t209)) % 204.95/205.26 (define @t224 () (not @t143)) % 204.95/205.26 (define @t225 () (forall @t148 (not @t147))) % 204.95/205.26 (define @t226 () (not @t225)) % 204.95/205.26 (define @t227 () (forall @t156 (not @t155))) % 204.95/205.26 (define @t228 () (not @t227)) % 204.95/205.26 (define @t229 () (forall @t78 (not @t159))) % 204.95/205.26 (define @t230 () (not @t229)) % 204.95/205.26 (define @t231 () (@var "b_VT" it_7_$$unsorted)) % 204.95/205.26 (define @t232 () (@const 8 it_4_$$unsorted)) % 204.95/205.26 (define @t233 () (@const 9 it_4_$$unsorted)) % 204.95/205.26 (define @t234 () (_ @t192 @t233 @t232)) % 204.95/205.26 (define @t235 () (@var "b_VC" it_67_$$unsorted)) % 204.95/205.26 (define @t236 () (@var "b_VS" it_7_$$unsorted)) % 204.95/205.26 (define @t237 () (@const 10 it_77_$$unsorted)) % 204.95/205.26 (define @t238 () (forall (@list @t30 @t236 @t235 @t231) (or (not (= @t237 (_ @t205 @t30 @t235))) (not (_ @t188 @t235 @t234 @t231)) (_ @t188 (_ @t199 @t30 @t236 @t235) @t234 @t231)))) % 204.95/205.26 (define @t239 () (@quantifiers_skolemize @t238 2)) % 204.95/205.26 (define @t240 () (not (_ @t188 @t239 @t186 @t185))) % 204.95/205.26 (define @t241 () (@quantifiers_skolemize @t238 3)) % 204.95/205.26 (define @t242 () (not (_ @t188 @t239 @t191 (_ @t190 @t185 @t241)))) % 204.95/205.26 (define @t243 () (not (= @t234 @t193))) % 204.95/205.26 (define @t244 () (or @t243 @t242 @t240)) % 204.95/205.26 (define @t245 () (forall @t195 @t244)) % 204.95/205.26 (define @t246 () (not @t245)) % 204.95/205.26 (define @t247 () (not (_ @t188 (_ @t199 @t30 @t198 @t239) @t197 @t196))) % 204.95/205.26 (define @t248 () (not (= @t241 @t200))) % 204.95/205.26 (define @t249 () (not (= @t234 @t202))) % 204.95/205.26 (define @t250 () (or @t249 @t248 @t247)) % 204.95/205.26 (define @t251 () (forall @t203 @t250)) % 204.95/205.26 (define @t252 () (not @t251)) % 204.95/205.26 (define @t253 () (_ @t204 @t241)) % 204.95/205.26 (define @t254 () (forall @t78 (or (not (= @t207 @t234)) (not (= (_ @t205 @t30 @t239) @t253))))) % 204.95/205.26 (define @t255 () (not @t254)) % 204.95/205.26 (define @t256 () (_ @t188 @t239 @t234 @t241)) % 204.95/205.26 (define @t257 () (not @t256)) % 204.95/205.26 (define @t258 () (or @t257 @t255 @t252 @t246)) % 204.95/205.26 (define @t259 () (forall @t195 (or (not (= @t193 @t234)) @t242 @t240))) % 204.95/205.26 (define @t260 () (not @t259)) % 204.95/205.26 (define @t261 () (forall @t203 (or (not (= @t202 @t234)) (not (= @t200 @t241)) @t247))) % 204.95/205.26 (define @t262 () (not @t261)) % 204.95/205.26 (define @t263 () (or @t257 @t255 @t262 @t260)) % 204.95/205.26 (define @t264 () (@list false)) % 204.95/205.26 (define @t265 () (@var "b_VExp2" it_4_$$unsorted)) % 204.95/205.26 (define @t266 () (@var "b_VExp1" it_4_$$unsorted)) % 204.95/205.26 (define @t267 () (@var "b_VExp0" it_4_$$unsorted)) % 204.95/205.26 (define @t268 () (@var "b_VTyp0" it_7_$$unsorted)) % 204.95/205.26 (define @t269 () (forall (@list @t2 @t268 @t267 @t266 @t265) (not (= (_ @t201 @t2 @t268 @t267) (_ @t192 @t266 @t265))))) % 204.95/205.26 (define @t270 () (@quantifiers_skolemize @t261 1)) % 204.95/205.26 (define @t271 () (@quantifiers_skolemize @t261 2)) % 204.95/205.26 (define @t272 () (@quantifiers_skolemize @t261 0)) % 204.95/205.26 (define @t273 () (_ @t201 @t272 @t271 @t270)) % 204.95/205.26 (define @t274 () (not (= @t273 @t234))) % 204.95/205.26 (define @t275 () (= @t234 @t273)) % 204.95/205.26 (define @t276 () (not @t275)) % 204.95/205.26 (define @t277 () (@quantifiers_skolemize @t261 3)) % 204.95/205.26 (define @t278 () (not (_ @t188 (_ @t199 @t272 @t271 @t239) @t270 @t277))) % 204.95/205.26 (define @t279 () (_ @t190 @t271 @t277)) % 204.95/205.26 (define @t280 () (or @t276 (not (= @t241 @t279)) @t278)) % 204.95/205.26 (define @t281 () (@list true)) % 204.95/205.26 (define @t282 () (not @t280)) % 204.95/205.26 (define @t283 () (not (= @t279 @t241))) % 204.95/205.26 (define @t284 () (or @t274 @t283 @t278)) % 204.95/205.26 (define @t285 () (not @t284)) % 204.95/205.26 (define @t286 () (@var "b_VExp1" it_4_$$unsorted)) % 204.95/205.26 (define @t287 () (@var "b_VExp0" it_4_$$unsorted)) % 204.95/205.26 (define @t288 () (forall (@list @t2 @t287 @t286) (not (= (_ @t206 @t2) (_ @t192 @t287 @t286))))) % 204.95/205.26 (define @t289 () (@quantifiers_skolemize @t254 0)) % 204.95/205.26 (define @t290 () (_ @t206 @t289)) % 204.95/205.26 (define @t291 () (not (= @t290 @t234))) % 204.95/205.26 (define @t292 () (= @t234 @t290)) % 204.95/205.26 (define @t293 () (not @t292)) % 204.95/205.26 (define @t294 () (_ @t205 @t289 @t239)) % 204.95/205.26 (define @t295 () (or @t293 (not (= @t253 @t294)))) % 204.95/205.26 (define @t296 () (not @t295)) % 204.95/205.26 (define @t297 () (not (= @t294 @t253))) % 204.95/205.26 (define @t298 () (or @t291 @t297)) % 204.95/205.26 (define @t299 () (not @t298)) % 204.95/205.26 (define @t300 () (not @t180)) % 204.95/205.26 (define @t301 () (= tptp.vnoType @t75)) % 204.95/205.26 (define @t302 () (not @t301)) % 204.95/205.26 (define @t303 () (or @t302 @t300 @t179)) % 204.95/205.26 (define @t304 () (and @t301 @t180)) % 204.95/205.26 (define @t305 () (@quantifiers_skolemize @t238 1)) % 204.95/205.26 (define @t306 () (@quantifiers_skolemize @t238 0)) % 204.95/205.26 (define @t307 () (_ @t199 @t306 @t305 @t239)) % 204.95/205.26 (define @t308 () (_ @t188 @t307 @t234 @t241)) % 204.95/205.26 (define @t309 () (= @t237 (_ @t205 @t306 @t239))) % 204.95/205.26 (define @t310 () (not @t309)) % 204.95/205.26 (define @t311 () (or @t310 @t257 @t308)) % 204.95/205.26 (define @t312 () (@list @t311)) % 204.95/205.26 (define @t313 () (@quantifiers_skolemize @t259 2)) % 204.95/205.26 (define @t314 () (@quantifiers_skolemize @t259 1)) % 204.95/205.26 (define @t315 () (_ @t188 @t239 @t314 @t313)) % 204.95/205.26 (define @t316 () (not @t315)) % 204.95/205.26 (define @t317 () (_ @t190 @t313 @t241)) % 204.95/205.26 (define @t318 () (@quantifiers_skolemize @t259 0)) % 204.95/205.26 (define @t319 () (_ @t188 @t239 @t318 @t317)) % 204.95/205.26 (define @t320 () (not @t319)) % 204.95/205.26 (define @t321 () (_ @t192 @t318 @t314)) % 204.95/205.26 (define @t322 () (= @t234 @t321)) % 204.95/205.26 (define @t323 () (not @t322)) % 204.95/205.26 (define @t324 () (or @t323 @t320 @t316)) % 204.95/205.26 (define @t325 () (not @t324)) % 204.95/205.26 (define @t326 () (not (= @t321 @t234))) % 204.95/205.26 (define @t327 () (or @t326 @t320 @t316)) % 204.95/205.26 (define @t328 () (not @t327)) % 204.95/205.26 (define @t329 () (@list @t324)) % 204.95/205.26 (define @t330 () (@var "b_BOUND_VARIABLE_8102" it_4_$$unsorted)) % 204.95/205.26 (define @t331 () (@var "b_BOUND_VARIABLE_8098" it_4_$$unsorted)) % 204.95/205.26 (define @t332 () (@var "b_BOUND_VARIABLE_8100" it_4_$$unsorted)) % 204.95/205.26 (define @t333 () (@var "b_BOUND_VARIABLE_8096" it_4_$$unsorted)) % 204.95/205.26 (define @t334 () (@var "BOUND_VARIABLE_8102" $$unsorted)) % 204.95/205.26 (define @t335 () (@var "BOUND_VARIABLE_8098" $$unsorted)) % 204.95/205.26 (define @t336 () (@var "BOUND_VARIABLE_8100" $$unsorted)) % 204.95/205.26 (define @t337 () (@var "BOUND_VARIABLE_8096" $$unsorted)) % 204.95/205.26 (define @t338 () (forall (@list @t337 @t335 @t336 @t334) (or (not (= (tptp.vapp @t337 @t335) (tptp.vapp @t336 @t334))) (and (= @t337 @t336) (= @t335 @t334))))) % 204.95/205.26 (define @t339 () (@var "BOUND_VARIABLE_8120" $$unsorted)) % 204.95/205.26 (define @t340 () (@var "BOUND_VARIABLE_8118" $$unsorted)) % 204.95/205.26 (define @t341 () (@list @t340 @t339)) % 204.95/205.26 (define @t342 () (tptp.vapp @t340 @t339)) % 204.95/205.26 (define @t343 () (not (= @t339 @t339))) % 204.95/205.26 (define @t344 () (or @t343 (= @t342 @t342))) % 204.95/205.26 (define @t345 () (@var "BOUND_VARIABLE_8116" $$unsorted)) % 204.95/205.26 (define @t346 () (tptp.vapp @t340 @t345)) % 204.95/205.26 (define @t347 () (= @t342 @t346)) % 204.95/205.26 (define @t348 () (not (= @t345 @t339))) % 204.95/205.26 (define @t349 () (or @t348 @t348 @t347)) % 204.95/205.26 (define @t350 () (@list @t345)) % 204.95/205.26 (define @t351 () (or @t348 @t347)) % 204.95/205.26 (define @t352 () (forall @t350 @t351)) % 204.95/205.26 (define @t353 () (forall @t341 @t352)) % 204.95/205.26 (define @t354 () (forall (@list @t340 @t339 @t345) @t351)) % 204.95/205.26 (define @t355 () (@list @t345 @t340 @t339)) % 204.95/205.26 (define @t356 () (not (= @t340 @t340))) % 204.95/205.26 (define @t357 () (or @t356 @t348 (= @t346 @t342))) % 204.95/205.26 (define @t358 () (@var "BOUND_VARIABLE_8114" $$unsorted)) % 204.95/205.26 (define @t359 () (= (tptp.vapp @t358 @t345) @t342)) % 204.95/205.26 (define @t360 () (not (= @t358 @t340))) % 204.95/205.26 (define @t361 () (or @t360 @t360 @t348 @t359)) % 204.95/205.26 (define @t362 () (@list @t358)) % 204.95/205.26 (define @t363 () (or @t360 @t348 @t359)) % 204.95/205.26 (define @t364 () (forall @t362 @t363)) % 204.95/205.26 (define @t365 () (forall @t355 @t364)) % 204.95/205.26 (define @t366 () (forall (@list @t345 @t340 @t339 @t358) @t363)) % 204.95/205.26 (define @t367 () (forall (@list @t358 @t345 @t340 @t339) @t363)) % 204.95/205.26 (define @t368 () (not @t19)) % 204.95/205.26 (define @t369 () (not @t20)) % 204.95/205.26 (define @t370 () (or @t369 @t368 @t18)) % 204.95/205.26 (define @t371 () (forall @t23 @t370)) % 204.95/205.26 (define @t372 () (@list @t8 @t6 @t16 @t15)) % 204.95/205.26 (define @t373 () (or (not @t18) @t21)) % 204.95/205.26 (define @t374 () (forall @t23 @t373)) % 204.95/205.26 (define @t375 () (and @t374 @t371)) % 204.95/205.26 (define @t376 () (= @t232 @t314)) % 204.95/205.26 (define @t377 () (= @t233 @t318)) % 204.95/205.26 (define @t378 () (and @t377 @t376)) % 204.95/205.26 (define @t379 () (or @t323 @t378)) % 204.95/205.26 (define @t380 () (@list false false)) % 204.95/205.26 (define @t381 () (not @t378)) % 204.95/205.26 (define @t382 () (@list @t378)) % 204.95/205.26 (define @t383 () (@var "b_VT" it_7_$$unsorted)) % 204.95/205.26 (define @t384 () (@var "b_VC" it_67_$$unsorted)) % 204.95/205.26 (define @t385 () (@var "b_VS" it_7_$$unsorted)) % 204.95/205.26 (define @t386 () (not @t167)) % 204.95/205.26 (define @t387 () (or @t302 @t386 @t166)) % 204.95/205.26 (define @t388 () (and @t301 @t167)) % 204.95/205.26 (define @t389 () (@var "b_VT" it_7_$$unsorted)) % 204.95/205.26 (define @t390 () (@var "b_Ve2" it_4_$$unsorted)) % 204.95/205.26 (define @t391 () (@var "b_Ve1" it_4_$$unsorted)) % 204.95/205.26 (define @t392 () (@var "b_VC" it_67_$$unsorted)) % 204.95/205.26 (define @t393 () (@var "b_VS" it_7_$$unsorted)) % 204.95/205.26 (define @t394 () (or @t210 @t209 @t140)) % 204.95/205.26 (define @t395 () (@var "b_VT" it_7_$$unsorted)) % 204.95/205.26 (define @t396 () (@var "b_VC" it_67_$$unsorted)) % 204.95/205.26 (define @t397 () (@var "b_VS" it_7_$$unsorted)) % 204.95/205.26 (define @t398 () (not @t174)) % 204.95/205.26 (define @t399 () (or @t302 @t398 @t173)) % 204.95/205.26 (define @t400 () (and @t301 @t174)) % 204.95/205.26 (define @t401 () (_ @t188 @t239 @t232 @t313)) % 204.95/205.26 (define @t402 () (and @t315 @t376)) % 204.95/205.26 (define @t403 () (_ @t188 @t307 @t232 @t313)) % 204.95/205.26 (define @t404 () (not @t401)) % 204.95/205.26 (define @t405 () (or @t310 @t404 @t403)) % 204.95/205.26 (define @t406 () (not @t403)) % 204.95/205.26 (define @t407 () (_ @t188 @t307 @t233 @t317)) % 204.95/205.26 (define @t408 () (not @t407)) % 204.95/205.26 (define @t409 () (or @t408 @t406 @t308)) % 204.95/205.26 (define @t410 () (@list true false false)) % 204.95/205.26 (define @t411 () (_ @t188 @t239 @t233 @t317)) % 204.95/205.26 (define @t412 () (not @t411)) % 204.95/205.26 (define @t413 () (or @t310 @t412 @t407)) % 204.95/205.26 (define @t414 () (not @t377)) % 204.95/205.26 (define @t415 () (and @t412 @t377 @t319)) % 204.95/205.26 (assume @p1 (forall (@list @t2 @t1) (and (=> @t4 @t5) (=> @t5 @t4)))) % 204.95/205.26 (assume @p2 (forall (@list @t2 @t9 @t8 @t1 @t7 @t6) (and (=> @t11 @t14) (=> @t14 @t11)))) % 204.95/205.26 (assume @p3 @t24) % 204.95/205.26 (assume @p4 (forall (@list @t2 @t1 @t9 @t8) (not (= @t3 (tptp.vabs @t1 @t9 @t8))))) % 204.95/205.26 (assume @p5 @t25) % 204.95/205.26 (assume @p6 @t26) % 204.95/205.26 (assume @p7 (forall (@list @t30 @t29 @t28 @t8) (=> @t32 @t27))) % 204.95/205.26 (assume @p8 (forall (@list @t30 @t8) (=> @t35 @t33))) % 204.95/205.26 (assume @p9 (forall (@list @t37 @t36 @t8) (=> @t39 @t33))) % 204.95/205.26 (assume @p10 (forall (@list @t2 @t8 @t30 @t40) (=> (and @t43 @t35) (and (=> @t41 @t42) (=> @t42 @t41))))) % 204.95/205.26 (assume @p11 (forall (@list @t46 @t2 @t8 @t30 @t40 @t28) (=> (and @t43 (= @t8 (tptp.vabs @t30 @t46 @t28))) (and (=> @t45 @t42) (=> @t42 @t45))))) % 204.95/205.26 (assume @p12 (forall (@list @t2 @t8 @t37 @t40 @t36) (=> (and @t43 @t39) (and (=> @t47 @t42) (=> @t42 @t47))))) % 204.95/205.26 (assume @p13 (and (=> @t48 true) (=> true @t48))) % 204.95/205.26 (assume @p14 (forall (@list @t2 @t9 @t50 @t1 @t7 @t49) (and (=> @t52 @t53) (=> @t53 @t52)))) % 204.95/205.26 (assume @p15 (and (=> @t54 true) (=> true @t54))) % 204.95/205.26 (assume @p16 (forall (@list @t9 @t7) (and (=> @t56 @t13) (=> @t13 @t56)))) % 204.95/205.26 (assume @p17 (forall (@list @t2 @t9 @t50) (not (= tptp.vempty @t51)))) % 204.95/205.26 (assume @p18 (forall (@list @t9) (not (= tptp.vnoType @t55)))) % 204.95/205.26 (assume @p19 (forall (@list @t57) (=> (= @t57 tptp.vnoType) (not @t58)))) % 204.95/205.26 (assume @p20 (forall (@list @t28 @t57) (=> @t59 @t58))) % 204.95/205.26 (assume @p21 (forall (@list @t57 @t60 @t28) (=> @t59 (=> (= @t60 (tptp.vgetSomeType @t57)) @t61)))) % 204.95/205.26 (assume @p22 (forall (@list @t30 @t2 @t50 @t60) (=> (and @t66 @t65) (=> @t64 @t62)))) % 204.95/205.26 (assume @p23 (forall (@list @t71 @t30 @t69 @t2 @t50 @t60 @t67) (=> @t74 (=> @t70 (=> @t64 @t68))))) % 204.95/205.26 (assume @p24 (forall (@list @t67 @t69 @t2 @t50 @t60 @t30 @t71) (=> @t74 (=> @t77 (=> @t64 @t76))))) % 204.95/205.26 (assume @p25 (forall (@list @t2 @t50 @t60) (=> (= @t63 @t60) (or (exists @t78 (and @t66 @t65 @t62)) (exists (@list @t71 @t30 @t69 @t67) (and @t66 @t73 @t70 @t68)) (exists (@list @t67 @t69 @t30 @t71) (and @t66 @t73 @t77 @t76)))))) % 204.95/205.26 (assume @p26 (forall @t82 (=> (and @t70 @t81) (tptp.vtcheck @t80 @t28 @t46)))) % 204.95/205.26 (assume @p27 (forall @t82 (=> (and @t77 @t81) (tptp.vtcheck (tptp.vbind @t69 @t67 @t80) @t28 @t46)))) % 204.95/205.26 (assume @p28 (forall (@list @t40 @t28) (=> (= (tptp.vgensym @t28) @t40) (not @t44)))) % 204.95/205.26 (assume @p29 (forall (@list @t30 @t69 @t2 @t8 @t6 @t60 @t28) (=> @t88 (=> @t70 (=> @t84 @t61))))) % 204.95/205.26 (assume @p30 (forall (@list @t28 @t30 @t2 @t8 @t6 @t60 @t69) (=> @t88 (=> @t77 (=> @t84 @t89))))) % 204.95/205.26 (assume @p31 (forall (@list @t2 @t8 @t6 @t60 @t37 @t30 @t28 @t36) (=> (and @t66 @t87 @t92) (=> @t84 @t91)))) % 204.95/205.26 (assume @p32 (forall (@list @t28 @t30 @t2 @t8 @t6 @t60 @t69 @t46 @t37) (=> @t96 (=> @t70 (=> @t84 @t94))))) % 204.95/205.26 (assume @p33 (forall (@list @t2 @t8 @t6 @t60 @t30 @t28 @t46 @t69 @t97 @t37) (=> @t96 (=> (and @t77 @t100 @t99) (=> @t84 @t98))))) % 204.95/205.26 (assume @p34 (forall (@list @t2 @t8 @t6 @t60 @t69 @t46 @t30 @t28 @t37) (=> @t96 (=> (and @t77 @t102) (=> @t84 @t101))))) % 204.95/205.26 (assume @p35 (forall (@list @t2 @t8 @t6 @t60) (=> (= @t83 @t60) (or (exists (@list @t30 @t69 @t28) (and @t66 @t87 @t86 @t70 @t61)) (exists (@list @t28 @t30 @t69) (and @t66 @t87 @t86 @t77 @t89)) (exists (@list @t37 @t30 @t28 @t36) (and @t66 @t87 @t92 @t91)) (exists (@list @t28 @t30 @t69 @t46 @t37) (and @t66 @t87 @t95 @t70 @t94)) (exists (@list @t30 @t28 @t46 @t69 @t97 @t37) (and @t66 @t87 @t95 @t77 @t100 @t99 @t98)) (exists (@list @t69 @t46 @t30 @t28 @t37) (and @t66 @t87 @t95 @t77 @t102 @t101)))))) % 204.95/205.26 (assume @p36 (and (=> @t103 true) (=> true @t103))) % 204.95/205.26 (assume @p37 (forall (@list @t8 @t6) (and (=> @t105 @t12) (=> @t12 @t105)))) % 204.95/205.26 (assume @p38 (forall (@list @t8) (not (= tptp.vnoExp @t104)))) % 204.95/205.26 (assume @p39 (forall (@list @t106) (=> (= @t106 tptp.vnoExp) (not @t107)))) % 204.95/205.26 (assume @p40 (forall (@list @t28 @t106) (=> @t108 @t107))) % 204.95/205.26 (assume @p41 (forall (@list @t106 @t60 @t28) (=> @t108 (=> (= @t60 (tptp.vgetSomeExp @t106)) @t61)))) % 204.95/205.26 (assume @p42 (forall (@list @t30 @t8 @t60) (=> @t35 @t112))) % 204.95/205.26 (assume @p43 (forall (@list @t30 @t29 @t28 @t8 @t60) (=> @t32 @t112))) % 204.95/205.26 (assume @p44 (forall (@list @t36 @t8 @t60 @t30 @t29 @t37 @t113) (=> @t118 (=> (and @t117 @t116) (=> @t111 @t115))))) % 204.95/205.26 (assume @p45 (forall (@list @t29 @t113 @t8 @t60 @t30 @t36 @t37) (=> @t118 (=> (and @t117 @t121 @t120) (=> @t111 @t119))))) % 204.95/205.26 (assume @p46 (forall (@list @t30 @t29 @t37 @t113 @t36 @t8 @t60) (=> @t118 (=> (and @t117 @t121 @t122) @t112)))) % 204.95/205.26 (assume @p47 (forall (@list @t37 @t8 @t60 @t123 @t36) (=> @t131 (=> (and @t126 @t125) (=> @t111 @t124))))) % 204.95/205.26 (assume @p48 (forall (@list @t36 @t37 @t123 @t8 @t60) (=> @t131 (=> (and @t126 @t132) @t112)))) % 204.95/205.26 (assume @p49 (forall (@list @t8 @t60) (=> (= @t110 @t60) (or (exists @t78 (and @t35 @t109)) (exists (@list @t30 @t29 @t28) (and @t32 @t109)) (exists (@list @t36 @t30 @t29 @t37 @t113) (and @t118 @t117 @t116 @t115)) (exists (@list @t29 @t113 @t30 @t36 @t37) (and @t118 @t117 @t121 @t120 @t119)) (exists (@list @t30 @t29 @t37 @t113 @t36) (and @t118 @t117 @t121 @t122 @t109)) (exists (@list @t37 @t123 @t36) (and @t39 @t130 @t126 @t125 @t124)) (exists (@list @t36 @t37 @t123) (and @t39 @t130 @t126 @t132 @t109)))))) % 204.95/205.26 (assume @p50 (forall (@list @t9 @t7 @t134 @t133) (and (=> @t135 @t136) (=> @t136 @t135)))) % 204.95/205.26 (assume @p51 (forall (@list @t71 @t30 @t46) (=> @t137 (tptp.vtcheck @t71 @t34 @t46)))) % 204.95/205.26 (assume @p52 (forall (@list @t71 @t30 @t28 @t29 @t46) (=> (tptp.vtcheck @t139 @t28 @t46) (tptp.vtcheck @t71 @t31 @t138)))) % 204.95/205.26 (assume @p53 @t145) % 204.95/205.26 (assume @p54 @t165) % 204.95/205.26 (assume @p55 @t172) % 204.95/205.26 (assume @p56 @t177) % 204.95/205.26 (assume @p57 @t184) % 204.95/205.26 (assume @p58 true) % 204.95/205.26 ; WARNING: add trust step for TRUST % 204.95/205.26 ; trust TRUST PREPROCESS_SORT_INFER % 204.95/205.26 (step @p59 :rule trust :premises () :args ((= (forall @t164 @t221) @t208))) % 204.95/205.26 (step @p60 :rule aci_norm :args ((= (or @t220 @t222) @t221))) % 204.95/205.26 (step @p61 :rule bool-impl-elim :args (@t162 @t222)) % 204.95/205.26 (step @p62 :rule trans :premises (@p61 @p60)) % 204.95/205.26 (step @p63 :rule cong :premises (@p62) :args ((forall @t164 (=> @t162 @t222)))) % 204.95/205.26 (step @p64 :rule aci_norm :args ((= (or @t211 @t223) @t212))) % 204.95/205.26 (step @p65 :rule bool-and-de-morgan :args (@t142 @t141 true)) % 204.95/205.26 (step @p66 :rule refl :args (@t211)) % 204.95/205.26 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t211 @t224))) % 204.95/205.26 (step @p68 :rule bool-and-de-morgan :args (@t146 @t142 (and @t141))) % 204.95/205.26 (step @p69 :rule trans :premises (@p68 @p67)) % 204.95/205.26 (step @p70 :rule trans :premises (@p69 @p64)) % 204.95/205.26 (step @p71 :rule cong :premises (@p70) :args (@t225)) % 204.95/205.26 (step @p72 :rule cong :premises (@p71) :args (@t226)) % 204.95/205.26 (step @p73 :rule exists-elim :args ((= @t149 @t226))) % 204.95/205.26 (step @p74 :rule trans :premises (@p73 @p72)) % 204.95/205.26 (step @p75 :rule aci_norm :args ((= (or @t216 (or @t215 @t214)) @t217))) % 204.95/205.26 (step @p76 :rule bool-and-de-morgan :args (@t153 @t152 true)) % 204.95/205.26 (step @p77 :rule refl :args (@t216)) % 204.95/205.26 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t216 (not (and @t153 @t152))))) % 204.95/205.26 (step @p79 :rule bool-and-de-morgan :args (@t154 @t153 (and @t152))) % 204.95/205.26 (step @p80 :rule trans :premises (@p79 @p78)) % 204.95/205.26 (step @p81 :rule trans :premises (@p80 @p75)) % 204.95/205.26 (step @p82 :rule cong :premises (@p81) :args (@t227)) % 204.95/205.26 (step @p83 :rule cong :premises (@p82) :args (@t228)) % 204.95/205.26 (step @p84 :rule exists-elim :args ((= @t157 @t228))) % 204.95/205.26 (step @p85 :rule trans :premises (@p84 @p83)) % 204.95/205.26 (step @p86 :rule bool-and-de-morgan :args (@t158 @t137 true)) % 204.95/205.26 (step @p87 :rule cong :premises (@p86) :args (@t229)) % 204.95/205.26 (step @p88 :rule cong :premises (@p87) :args (@t230)) % 204.95/205.26 (step @p89 :rule exists-elim :args ((= @t160 @t230))) % 204.95/205.26 (step @p90 :rule trans :premises (@p89 @p88)) % 204.95/205.26 (step @p91 :rule nary_cong :premises (@p90 @p85 @p74) :args (@t161)) % 204.95/205.26 (step @p92 :rule refl :args (@t162)) % 204.95/205.26 (step @p93 :rule cong :premises (@p92 @p91) :args (@t163)) % 204.95/205.26 (step @p94 :rule cong :premises (@p93) :args (@t165)) % 204.95/205.26 (step @p95 :rule trans :premises (@p94 @p63)) % 204.95/205.26 (step @p96 :rule trans :premises (@p95 @p59)) % 204.95/205.26 (step @p97 :rule eq_resolve :premises (@p54 @p96)) % 204.95/205.26 (step @p98 :rule refl :args (@t240)) % 204.95/205.26 (step @p99 :rule refl :args (@t242)) % 204.95/205.26 (step @p100 :rule eq-symm :args (@t234 @t193)) % 204.95/205.26 (step @p101 :rule cong :premises (@p100) :args (@t243)) % 204.95/205.26 (step @p102 :rule nary_cong :premises (@p101 @p99 @p98) :args (@t244)) % 204.95/205.26 (step @p103 :rule cong :premises (@p102) :args (@t245)) % 204.95/205.26 (step @p104 :rule cong :premises (@p103) :args (@t246)) % 204.95/205.26 (step @p105 :rule refl :args (@t247)) % 204.95/205.26 (step @p106 :rule eq-symm :args (@t241 @t200)) % 204.95/205.26 (step @p107 :rule cong :premises (@p106) :args (@t248)) % 204.95/205.26 (step @p108 :rule eq-symm :args (@t234 @t202)) % 204.95/205.26 (step @p109 :rule cong :premises (@p108) :args (@t249)) % 204.95/205.26 (step @p110 :rule nary_cong :premises (@p109 @p107 @p105) :args (@t250)) % 204.95/205.26 (step @p111 :rule cong :premises (@p110) :args (@t251)) % 204.95/205.26 (step @p112 :rule cong :premises (@p111) :args (@t252)) % 204.95/205.27 (step @p113 :rule refl :args (@t255)) % 204.95/205.27 (step @p114 :rule refl :args (@t257)) % 204.95/205.27 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112 @p104) :args (@t258)) % 204.95/205.27 (step @p116 :rule refl :args (@t208)) % 204.95/205.27 (step @p117 :rule cong :premises (@p116 @p115) :args ((=> @t208 @t258))) % 204.95/205.27 (assume-push @p460 @t208) % 204.95/205.27 (step @p119 :rule instantiate :premises (@p97) :args ((@list @t234 @t241 @t239))) % 204.95/205.27 (step-pop @p461 :rule scope :premises (@p119)) % 204.95/205.27 (step @p120 :rule process_scope :premises (@p461) :args (@t258)) % 204.95/205.27 (step @p122 :rule eq_resolve :premises (@p120 @p117)) % 204.95/205.27 (step @p123 :rule implies_elim :premises (@p122)) % 204.95/205.27 (step @p124 :rule chain_m_resolution :premises (@p123 @p97) :args (@t263 @t264 (@list @t208))) % 204.95/205.27 ; trust TRUST PREPROCESS_SORT_INFER % 204.95/205.27 (step @p125 :rule trust :premises () :args ((= @t26 @t269))) % 204.95/205.27 (step @p126 :rule eq_resolve :premises (@p6 @p125)) % 204.95/205.27 (step @p127 :rule eq-symm :args (@t273 @t234)) % 204.95/205.27 (step @p128 :rule cong :premises (@p127) :args (@t274)) % 204.95/205.27 (step @p129 :rule refl :args (@t269)) % 204.95/205.27 (step @p130 :rule cong :premises (@p129 @p128) :args ((=> @t269 @t274))) % 204.95/205.27 (assume-push @p462 @t269) % 204.95/205.27 (step @p132 :rule instantiate :premises (@p126) :args ((@list @t272 @t271 @t270 @t233 @t232))) % 204.95/205.27 (step-pop @p463 :rule scope :premises (@p132)) % 204.95/205.27 (step @p133 :rule process_scope :premises (@p463) :args (@t274)) % 204.95/205.27 (step @p135 :rule eq_resolve :premises (@p133 @p130)) % 204.95/205.27 (step @p136 :rule implies_elim :premises (@p135)) % 204.95/205.27 (step @p137 :rule chain_m_resolution :premises (@p136 @p126) :args (@t276 @t264 (@list @t269))) % 204.95/205.27 (step @p138 :rule bool-double-not-elim :args (@t275)) % 204.95/205.27 (step @p139 :rule refl :args (@t280)) % 204.95/205.27 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t280 (not @t276)))) % 204.95/205.27 (step @p141 :rule cnf_or_neg :args (@t280 0)) % 204.95/205.27 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 204.95/205.27 (step @p143 :rule reordering :premises (@p142) :args ((or @t275 @t280))) % 204.95/205.27 (step @p144 :rule chain_m_resolution :premises (@p143 @p137) :args (@t280 @t281 (@list @t275))) % 204.95/205.27 (step @p145 :rule refl :args (@t282)) % 204.95/205.27 (step @p146 :rule bool-double-not-elim :args (@t261)) % 204.95/205.27 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t262) @t282))) % 204.95/205.27 (step @p148 :rule refl :args (@t278)) % 204.95/205.27 (step @p149 :rule eq-symm :args (@t279 @t241)) % 204.95/205.27 (step @p150 :rule cong :premises (@p149) :args (@t283)) % 204.95/205.27 (step @p151 :rule nary_cong :premises (@p128 @p150 @p148) :args (@t284)) % 204.95/205.27 (step @p152 :rule cong :premises (@p151) :args (@t285)) % 204.95/205.27 (step @p153 :rule refl :args (@t262)) % 204.95/205.27 (step @p154 :rule cong :premises (@p153 @p152) :args ((=> @t262 @t285))) % 204.95/205.27 (assume-push @p464 @t262) % 204.95/205.27 (step @p156 :rule skolemize :premises (@p464)) % 204.95/205.27 (step-pop @p465 :rule scope :premises (@p156)) % 204.95/205.27 (step @p157 :rule process_scope :premises (@p465) :args (@t285)) % 204.95/205.27 (step @p159 :rule eq_resolve :premises (@p157 @p154)) % 204.95/205.27 (step @p160 :rule implies_elim :premises (@p159)) % 204.95/205.27 (step @p161 :rule eq_resolve :premises (@p160 @p147)) % 204.95/205.27 (step @p162 :rule chain_m_resolution :premises (@p161 @p144) :args (@t261 @t264 (@list @t280))) % 204.95/205.27 ; trust TRUST PREPROCESS_SORT_INFER % 204.95/205.27 (step @p163 :rule trust :premises () :args ((= @t25 @t288))) % 204.95/205.27 (step @p164 :rule eq_resolve :premises (@p5 @p163)) % 204.95/205.27 (step @p165 :rule eq-symm :args (@t290 @t234)) % 204.95/205.27 (step @p166 :rule cong :premises (@p165) :args (@t291)) % 204.95/205.27 (step @p167 :rule refl :args (@t288)) % 204.95/205.27 (step @p168 :rule cong :premises (@p167 @p166) :args ((=> @t288 @t291))) % 204.95/205.27 (assume-push @p466 @t288) % 204.95/205.27 (step @p170 :rule instantiate :premises (@p164) :args ((@list @t289 @t233 @t232))) % 204.95/205.27 (step-pop @p467 :rule scope :premises (@p170)) % 204.95/205.27 (step @p171 :rule process_scope :premises (@p467) :args (@t291)) % 204.95/205.27 (step @p173 :rule eq_resolve :premises (@p171 @p168)) % 204.95/205.27 (step @p174 :rule implies_elim :premises (@p173)) % 204.95/205.27 (step @p175 :rule chain_m_resolution :premises (@p174 @p164) :args (@t293 @t264 (@list @t288))) % 204.95/205.27 (step @p176 :rule bool-double-not-elim :args (@t292)) % 204.95/205.27 (step @p177 :rule refl :args (@t295)) % 204.95/205.27 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or @t295 (not @t293)))) % 204.95/205.27 (step @p179 :rule cnf_or_neg :args (@t295 0)) % 204.95/205.27 (step @p180 :rule eq_resolve :premises (@p179 @p178)) % 204.95/205.27 (step @p181 :rule reordering :premises (@p180) :args ((or @t292 @t295))) % 204.95/205.27 (step @p182 :rule chain_m_resolution :premises (@p181 @p175) :args (@t295 @t281 (@list @t292))) % 204.95/205.27 (step @p183 :rule refl :args (@t296)) % 204.95/205.27 (step @p184 :rule bool-double-not-elim :args (@t254)) % 204.95/205.27 (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or (not @t255) @t296))) % 204.95/205.27 (step @p186 :rule eq-symm :args (@t294 @t253)) % 204.95/205.27 (step @p187 :rule cong :premises (@p186) :args (@t297)) % 204.95/205.27 (step @p188 :rule nary_cong :premises (@p166 @p187) :args (@t298)) % 204.95/205.27 (step @p189 :rule cong :premises (@p188) :args (@t299)) % 204.95/205.27 (step @p190 :rule cong :premises (@p113 @p189) :args ((=> @t255 @t299))) % 204.95/205.27 (assume-push @p468 @t255) % 204.95/205.27 (step @p192 :rule skolemize :premises (@p468)) % 204.95/205.27 (step-pop @p469 :rule scope :premises (@p192)) % 204.95/205.27 (step @p193 :rule process_scope :premises (@p469) :args (@t299)) % 204.95/205.27 (step @p195 :rule eq_resolve :premises (@p193 @p190)) % 204.95/205.27 (step @p196 :rule implies_elim :premises (@p195)) % 204.95/205.27 (step @p197 :rule eq_resolve :premises (@p196 @p185)) % 204.95/205.27 (step @p198 :rule chain_m_resolution :premises (@p197 @p182) :args (@t254 @t264 (@list @t295))) % 204.95/205.27 ; trust TRUST PREPROCESS_SORT_INFER % 204.95/205.27 (step @p199 :rule trust :premises () :args ((= (not (forall @t171 @t303)) (not @t238)))) % 204.95/205.27 (step @p200 :rule aci_norm :args ((= (or (or @t302 @t300) @t179) @t303))) % 204.95/205.27 (step @p201 :rule refl :args (@t179)) % 204.95/205.27 (step @p202 :rule bool-and-de-morgan :args (@t301 @t180 true)) % 204.95/205.27 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or (not @t304) @t179))) % 204.95/205.27 (step @p204 :rule trans :premises (@p203 @p200)) % 204.95/205.27 (step @p205 :rule bool-impl-elim :args (@t304 @t179)) % 204.95/205.27 (step @p206 :rule trans :premises (@p205 @p204)) % 204.95/205.27 (step @p207 :rule cong :premises (@p206) :args ((forall @t171 (=> @t304 @t179)))) % 204.95/205.27 (step @p208 :rule refl :args (@t179)) % 204.95/205.27 (step @p209 :rule refl :args (@t180)) % 204.95/205.27 (step @p210 :rule eq-symm :args (@t75 tptp.vnoType)) % 204.95/205.27 (step @p211 :rule nary_cong :premises (@p210 @p209) :args (@t181)) % 204.95/205.27 (step @p212 :rule cong :premises (@p211 @p208) :args (@t182)) % 204.95/205.27 (step @p213 :rule cong :premises (@p212) :args (@t183)) % 204.95/205.27 (step @p214 :rule trans :premises (@p213 @p207)) % 204.95/205.27 (step @p215 :rule cong :premises (@p214) :args (@t184)) % 204.95/205.27 (step @p216 :rule trans :premises (@p215 @p199)) % 204.95/205.27 (step @p217 :rule eq_resolve :premises (@p57 @p216)) % 204.95/205.27 (step @p218 :rule skolemize :premises (@p217)) % 204.95/205.27 (step @p219 :rule bool-double-not-elim :args (@t256)) % 204.95/205.27 (step @p220 :rule refl :args (@t311)) % 204.95/205.27 (step @p221 :rule nary_cong :premises (@p220 @p219) :args ((or @t311 (not @t257)))) % 204.95/205.27 (step @p222 :rule cnf_or_neg :args (@t311 1)) % 204.95/205.27 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 204.95/205.27 (step @p224 :rule reordering :premises (@p223) :args ((or @t256 @t311))) % 204.95/205.27 (step @p225 :rule chain_m_resolution :premises (@p224 @p218) :args (@t256 @t281 @t312)) % 204.95/205.27 (step @p226 :rule cnf_or_pos :args (@t263)) % 204.95/205.27 (step @p227 :rule reordering :premises (@p226) :args ((or @t257 @t255 @t262 @t260 (not @t263)))) % 204.95/205.27 (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p198 @p162 @p124) :args (@t260 (@list false false false false) (@list @t256 @t254 @t261 @t263))) % 204.95/205.27 (step @p229 :rule refl :args (@t325)) % 204.95/205.27 (step @p230 :rule bool-double-not-elim :args (@t259)) % 204.95/205.27 (step @p231 :rule nary_cong :premises (@p230 @p229) :args ((or (not @t260) @t325))) % 204.95/205.27 (step @p232 :rule refl :args (@t316)) % 204.95/205.27 (step @p233 :rule refl :args (@t320)) % 204.95/205.27 (step @p234 :rule eq-symm :args (@t321 @t234)) % 204.95/205.27 (step @p235 :rule cong :premises (@p234) :args (@t326)) % 204.95/205.27 (step @p236 :rule nary_cong :premises (@p235 @p233 @p232) :args (@t327)) % 204.95/205.27 (step @p237 :rule cong :premises (@p236) :args (@t328)) % 204.95/205.27 (step @p238 :rule refl :args (@t260)) % 204.95/205.27 (step @p239 :rule cong :premises (@p238 @p237) :args ((=> @t260 @t328))) % 204.95/205.27 (assume-push @p470 @t260) % 204.95/205.27 (step @p241 :rule skolemize :premises (@p470)) % 204.95/205.27 (step-pop @p471 :rule scope :premises (@p241)) % 204.95/205.27 (step @p242 :rule process_scope :premises (@p471) :args (@t328)) % 204.95/205.27 (step @p244 :rule eq_resolve :premises (@p242 @p239)) % 204.95/205.27 (step @p245 :rule implies_elim :premises (@p244)) % 204.95/205.27 (step @p246 :rule eq_resolve :premises (@p245 @p231)) % 204.95/205.27 (step @p247 :rule chain_m_resolution :premises (@p246 @p228) :args (@t325 @t281 (@list @t259))) % 204.95/205.27 (step @p248 :rule bool-double-not-elim :args (@t319)) % 204.95/205.27 (step @p249 :rule refl :args (@t324)) % 204.95/205.27 (step @p250 :rule nary_cong :premises (@p249 @p248) :args ((or @t324 (not @t320)))) % 204.95/205.27 (step @p251 :rule cnf_or_neg :args (@t324 1)) % 204.95/205.27 (step @p252 :rule eq_resolve :premises (@p251 @p250)) % 204.95/205.27 (step @p253 :rule reordering :premises (@p252) :args ((or @t319 @t324))) % 204.95/205.27 (step @p254 :rule chain_m_resolution :premises (@p253 @p247) :args (@t319 @t281 @t329)) % 204.95/205.27 ; trust TRUST PREPROCESS_SORT_INFER % 204.95/205.27 (step @p255 :rule trust :premises () :args ((= @t338 (forall (@list @t333 @t331 @t332 @t330) (or (not (= (_ @t192 @t333 @t331) (_ @t192 @t332 @t330))) (and (= @t333 @t332) (= @t331 @t330))))))) % 204.95/205.27 (step @p256 :rule aci_norm :args ((= (and @t338 true) @t338))) % 204.95/205.27 (step @p257 :rule quant-unused-vars :args ((= (forall @t341 true) true))) % 204.95/205.27 (step @p258 :rule evaluate :args ((or false true))) % 204.95/205.27 (step @p259 :rule eq-refl :args (@t342)) % 204.95/205.27 (step @p260 :rule evaluate :args ((not true))) % 204.95/205.27 (step @p261 :rule eq-refl :args (@t339)) % 204.95/205.27 (step @p262 :rule cong :premises (@p261) :args (@t343)) % 204.95/205.27 (step @p263 :rule trans :premises (@p262 @p260)) % 204.95/205.27 (step @p264 :rule nary_cong :premises (@p263 @p259) :args (@t344)) % 204.95/205.27 (step @p265 :rule trans :premises (@p264 @p258)) % 204.95/205.27 (step @p266 :rule cong :premises (@p265) :args ((forall @t341 @t344))) % 204.95/205.27 (step @p267 :rule trans :premises (@p266 @p257)) % 204.95/205.27 (step @p268 :rule quant-var-elim-eq :args ((= (forall @t350 @t349) @t344))) % 204.95/205.27 (step @p269 :rule aci_norm :args ((= @t351 @t349))) % 204.95/205.27 (step @p270 :rule cong :premises (@p269) :args (@t352)) % 204.95/205.27 (step @p271 :rule trans :premises (@p270 @p268)) % 204.95/205.27 (step @p272 :rule cong :premises (@p271) :args (@t353)) % 204.95/205.27 (step @p273 :rule quant-merge-prenex :args ((= @t353 @t354))) % 204.95/205.27 (step @p274 :rule symm :premises (@p273)) % 204.95/205.27 (step @p275 :rule quant_var_reordering :args ((= (forall @t355 @t351) @t354))) % 204.95/205.27 (step @p276 :rule trans :premises (@p275 @p274 @p272)) % 204.95/205.27 (step @p277 :rule trans :premises (@p276 @p267)) % 204.95/205.27 (step @p278 :rule aci_norm :args ((= (or false @t348 @t347) @t351))) % 204.95/205.27 (step @p279 :rule eq-symm :args (@t346 @t342)) % 204.95/205.27 (step @p280 :rule refl :args (@t348)) % 204.95/205.27 (step @p281 :rule eq-refl :args (@t340)) % 204.95/205.27 (step @p282 :rule cong :premises (@p281) :args (@t356)) % 204.95/205.27 (step @p283 :rule trans :premises (@p282 @p260)) % 204.95/205.27 (step @p284 :rule nary_cong :premises (@p283 @p280 @p279) :args (@t357)) % 204.95/205.27 (step @p285 :rule trans :premises (@p284 @p278)) % 204.95/205.27 (step @p286 :rule cong :premises (@p285) :args ((forall @t355 @t357))) % 204.95/205.27 (step @p287 :rule trans :premises (@p286 @p277)) % 204.95/205.27 (step @p288 :rule quant-var-elim-eq :args ((= (forall @t362 @t361) @t357))) % 204.95/205.27 (step @p289 :rule aci_norm :args ((= @t363 @t361))) % 204.95/205.27 (step @p290 :rule cong :premises (@p289) :args (@t364)) % 204.95/205.27 (step @p291 :rule trans :premises (@p290 @p288)) % 204.95/205.27 (step @p292 :rule cong :premises (@p291) :args (@t365)) % 204.95/205.27 (step @p293 :rule quant-merge-prenex :args ((= @t365 @t366))) % 204.95/205.27 (step @p294 :rule symm :premises (@p293)) % 204.95/205.27 (step @p295 :rule quant_var_reordering :args ((= @t367 @t366))) % 204.95/205.27 (step @p296 :rule trans :premises (@p295 @p294 @p292)) % 204.95/205.27 (step @p297 :rule trans :premises (@p296 @p287)) % 204.95/205.27 (step @p298 :rule refl :args (@t338)) % 204.95/205.27 (step @p299 :rule nary_cong :premises (@p298 @p297) :args ((and @t338 @t367))) % 204.95/205.27 (step @p300 :rule trans :premises (@p299 @p256)) % 204.95/205.27 (step @p301 :rule alpha_equiv :args (@t371 @t372 (@list @t358 @t345 @t340 @t339))) % 204.95/205.27 (step @p302 :rule alpha_equiv :args (@t374 @t372 (@list @t337 @t335 @t336 @t334))) % 204.95/205.27 (step @p303 :rule nary_cong :premises (@p302 @p301) :args (@t375)) % 204.95/205.27 (step @p304 :rule quant-miniscope-and :args ((= (forall @t23 (and @t373 @t370)) @t375))) % 204.95/205.27 (step @p305 :rule trans :premises (@p304 @p303)) % 204.95/205.27 (step @p306 :rule trans :premises (@p305 @p300)) % 204.95/205.27 (step @p307 :rule aci_norm :args ((= (or (or @t369 @t368) @t18) @t370))) % 204.95/205.27 (step @p308 :rule refl :args (@t18)) % 204.95/205.27 (step @p309 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 204.95/205.27 (step @p310 :rule nary_cong :premises (@p309 @p308) :args ((or (not @t21) @t18))) % 204.95/205.27 (step @p311 :rule trans :premises (@p310 @p307)) % 204.95/205.27 (step @p312 :rule bool-impl-elim :args (@t21 @t18)) % 204.95/205.27 (step @p313 :rule trans :premises (@p312 @p311)) % 204.95/205.27 (step @p314 :rule bool-impl-elim :args (@t18 @t21)) % 204.95/205.27 (step @p315 :rule nary_cong :premises (@p314 @p313) :args (@t22)) % 204.95/205.27 (step @p316 :rule cong :premises (@p315) :args (@t24)) % 204.95/205.27 (step @p317 :rule trans :premises (@p316 @p306)) % 204.95/205.27 (step @p318 :rule trans :premises (@p317 @p255)) % 204.95/205.27 (step @p319 :rule eq_resolve :premises (@p3 @p318)) % 204.95/205.27 (step @p320 :rule instantiate :premises (@p319) :args ((@list @t233 @t232 @t318 @t314))) % 204.95/205.27 (step @p321 :rule bool-double-not-elim :args (@t322)) % 204.95/205.27 (step @p322 :rule nary_cong :premises (@p249 @p321) :args ((or @t324 (not @t323)))) % 204.95/205.27 (step @p323 :rule cnf_or_neg :args (@t324 0)) % 204.95/205.27 (step @p324 :rule eq_resolve :premises (@p323 @p322)) % 204.95/205.27 (step @p325 :rule reordering :premises (@p324) :args ((or @t322 @t324))) % 204.95/205.27 (step @p326 :rule chain_m_resolution :premises (@p325 @p247) :args (@t322 @t281 @t329)) % 204.95/205.27 (step @p327 :rule cnf_or_pos :args (@t379)) % 204.95/205.27 (step @p328 :rule reordering :premises (@p327) :args ((or @t323 @t378 (not @t379)))) % 204.95/205.27 (step @p329 :rule chain_m_resolution :premises (@p328 @p326 @p320) :args (@t378 @t380 (@list @t322 @t379))) % 204.95/205.27 (step @p330 :rule cnf_and_pos :args (@t378 0)) % 204.95/205.27 (step @p331 :rule reordering :premises (@p330) :args ((or @t377 @t381))) % 204.95/205.27 (step @p332 :rule chain_m_resolution :premises (@p331 @p329) :args (@t377 @t264 @t382)) % 204.95/205.27 ; trust TRUST PREPROCESS_SORT_INFER % 204.95/205.27 (step @p333 :rule trust :premises () :args ((= (forall @t171 @t387) (forall (@list @t30 @t385 @t384 @t383) (or (not (= @t237 (_ @t205 @t30 @t384))) (not (_ @t188 @t384 @t233 @t383)) (_ @t188 (_ @t199 @t30 @t385 @t384) @t233 @t383)))))) % 204.95/205.27 (step @p334 :rule aci_norm :args ((= (or (or @t302 @t386) @t166) @t387))) % 204.95/205.27 (step @p335 :rule refl :args (@t166)) % 204.95/205.27 (step @p336 :rule bool-and-de-morgan :args (@t301 @t167 true)) % 204.95/205.27 (step @p337 :rule nary_cong :premises (@p336 @p335) :args ((or (not @t388) @t166))) % 204.95/205.27 (step @p338 :rule trans :premises (@p337 @p334)) % 204.95/205.27 (step @p339 :rule bool-impl-elim :args (@t388 @t166)) % 204.95/205.27 (step @p340 :rule trans :premises (@p339 @p338)) % 204.95/205.27 (step @p341 :rule cong :premises (@p340) :args ((forall @t171 (=> @t388 @t166)))) % 204.95/205.27 (step @p342 :rule refl :args (@t166)) % 204.95/205.27 (step @p343 :rule refl :args (@t167)) % 204.95/205.27 (step @p344 :rule nary_cong :premises (@p210 @p343) :args (@t169)) % 204.95/205.27 (step @p345 :rule cong :premises (@p344 @p342) :args (@t170)) % 204.95/205.27 (step @p346 :rule cong :premises (@p345) :args (@t172)) % 204.95/205.27 (step @p347 :rule trans :premises (@p346 @p341)) % 204.95/205.27 (step @p348 :rule trans :premises (@p347 @p333)) % 204.95/205.27 (step @p349 :rule eq_resolve :premises (@p55 @p348)) % 204.95/205.27 (step @p350 :rule instantiate :premises (@p349) :args ((@list @t306 @t305 @t239 @t317))) % 204.95/205.27 ; trust TRUST PREPROCESS_SORT_INFER % 204.95/205.27 (step @p351 :rule trust :premises () :args ((= (forall @t144 @t394) (forall (@list @t393 @t392 @t391 @t390 @t389) (or (not (_ @t188 @t392 @t391 (_ @t190 @t393 @t389))) (not (_ @t188 @t392 @t390 @t393)) (_ @t188 @t392 (_ @t192 @t391 @t390) @t389)))))) % 204.95/205.27 (step @p352 :rule aci_norm :args ((= (or @t223 @t140) @t394))) % 204.95/205.27 (step @p353 :rule refl :args (@t140)) % 204.95/205.27 (step @p354 :rule nary_cong :premises (@p65 @p353) :args ((or @t224 @t140))) % 204.95/205.27 (step @p355 :rule trans :premises (@p354 @p352)) % 204.95/205.27 (step @p356 :rule bool-impl-elim :args (@t143 @t140)) % 204.95/205.27 (step @p357 :rule trans :premises (@p356 @p355)) % 204.95/205.27 (step @p358 :rule cong :premises (@p357) :args (@t145)) % 204.95/205.27 (step @p359 :rule trans :premises (@p358 @p351)) % 204.95/205.27 (step @p360 :rule eq_resolve :premises (@p53 @p359)) % 204.95/205.27 (step @p361 :rule instantiate :premises (@p360) :args ((@list @t313 @t307 @t233 @t232 @t241))) % 204.95/205.27 ; trust TRUST PREPROCESS_SORT_INFER % 204.95/205.27 (step @p362 :rule trust :premises () :args ((= (forall @t171 @t399) (forall (@list @t30 @t397 @t396 @t395) (or (not (= @t237 (_ @t205 @t30 @t396))) (not (_ @t188 @t396 @t232 @t395)) (_ @t188 (_ @t199 @t30 @t397 @t396) @t232 @t395)))))) % 204.95/205.27 (step @p363 :rule aci_norm :args ((= (or (or @t302 @t398) @t173) @t399))) % 204.95/205.27 (step @p364 :rule refl :args (@t173)) % 204.95/205.27 (step @p365 :rule bool-and-de-morgan :args (@t301 @t174 true)) % 204.95/205.27 (step @p366 :rule nary_cong :premises (@p365 @p364) :args ((or (not @t400) @t173))) % 204.95/205.27 (step @p367 :rule trans :premises (@p366 @p363)) % 204.95/205.27 (step @p368 :rule bool-impl-elim :args (@t400 @t173)) % 204.95/205.27 (step @p369 :rule trans :premises (@p368 @p367)) % 204.95/205.27 (step @p370 :rule cong :premises (@p369) :args ((forall @t171 (=> @t400 @t173)))) % 204.95/205.27 (step @p371 :rule refl :args (@t173)) % 204.95/205.27 (step @p372 :rule refl :args (@t174)) % 204.95/205.27 (step @p373 :rule nary_cong :premises (@p210 @p372) :args (@t175)) % 204.95/205.27 (step @p374 :rule cong :premises (@p373 @p371) :args (@t176)) % 204.95/205.27 (step @p375 :rule cong :premises (@p374) :args (@t177)) % 204.95/205.27 (step @p376 :rule trans :premises (@p375 @p370)) % 204.95/205.27 (step @p377 :rule trans :premises (@p376 @p362)) % 204.95/205.27 (step @p378 :rule eq_resolve :premises (@p56 @p377)) % 204.95/205.27 (step @p379 :rule instantiate :premises (@p378) :args ((@list @t306 @t305 @t239 @t313))) % 204.95/205.27 (step @p380 :rule cnf_and_pos :args (@t378 1)) % 204.95/205.27 (step @p381 :rule reordering :premises (@p380) :args ((or @t376 @t381))) % 204.95/205.27 (step @p382 :rule chain_m_resolution :premises (@p381 @p329) :args (@t376 @t264 @t382)) % 204.95/205.27 (step @p383 :rule bool-double-not-elim :args (@t315)) % 204.95/205.27 (step @p384 :rule nary_cong :premises (@p249 @p383) :args ((or @t324 (not @t316)))) % 204.95/205.27 (step @p385 :rule cnf_or_neg :args (@t324 2)) % 204.95/205.27 (step @p386 :rule eq_resolve :premises (@p385 @p384)) % 204.95/205.27 (step @p387 :rule reordering :premises (@p386) :args ((or @t315 @t324))) % 204.95/205.27 (step @p388 :rule chain_m_resolution :premises (@p387 @p247) :args (@t315 @t281 @t329)) % 204.95/205.27 (assume-push @p472 @t315) % 204.95/205.27 (assume-push @p473 @t376) % 204.95/205.27 (assume-push @p474 @t315) % 204.95/205.27 (assume-push @p475 @t376) % 204.95/205.27 (step @p393 :rule true_intro :premises (@p472)) % 204.95/205.27 (step @p394 :rule refl :args (@t313)) % 204.95/205.27 (step @p395 :rule refl :args (@t239)) % 204.95/205.27 (step @p396 :rule cong :premises (@p395 @p473 @p394) :args (@t401)) % 204.95/205.27 (step @p397 :rule trans :premises (@p396 @p393)) % 204.95/205.27 (step @p398 :rule true_elim :premises (@p397)) % 204.95/205.27 (step-pop @p476 :rule scope :premises (@p398)) % 204.95/205.27 (step-pop @p477 :rule scope :premises (@p476)) % 204.95/205.27 (step @p399 :rule process_scope :premises (@p477) :args (@t401)) % 204.95/205.27 (step @p402 :rule and_intro :premises (@p472 @p473)) % 204.95/205.27 (step @p403 :rule modus_ponens :premises (@p402 @p399)) % 204.95/205.27 (step-pop @p478 :rule scope :premises (@p403)) % 204.95/205.27 (step-pop @p479 :rule scope :premises (@p478)) % 204.95/205.27 (step @p404 :rule process_scope :premises (@p479) :args (@t401)) % 204.95/205.27 (step @p407 :rule implies_elim :premises (@p404)) % 204.95/205.27 (step @p408 :rule cnf_and_neg :args (@t402)) % 204.95/205.27 (step @p409 :rule resolution :premises (@p408 @p407) :args (true @t402)) % 204.95/205.27 (step @p410 :rule chain_m_resolution :premises (@p409 @p388 @p382) :args (@t401 @t380 (@list @t315 @t376))) % 204.95/205.27 (step @p411 :rule bool-double-not-elim :args (@t309)) % 204.95/205.27 (step @p412 :rule nary_cong :premises (@p220 @p411) :args ((or @t311 (not @t310)))) % 204.95/205.27 (step @p413 :rule cnf_or_neg :args (@t311 0)) % 204.95/205.27 (step @p414 :rule eq_resolve :premises (@p413 @p412)) % 204.95/205.27 (step @p415 :rule reordering :premises (@p414) :args ((or @t309 @t311))) % 204.95/205.27 (step @p416 :rule chain_m_resolution :premises (@p415 @p218) :args (@t309 @t281 @t312)) % 204.95/205.27 (step @p417 :rule cnf_or_pos :args (@t405)) % 204.95/205.27 (step @p418 :rule reordering :premises (@p417) :args ((or @t310 @t404 @t403 (not @t405)))) % 204.95/205.27 (step @p419 :rule chain_m_resolution :premises (@p418 @p416 @p410 @p379) :args (@t403 (@list false false false) (@list @t309 @t401 @t405))) % 204.95/205.27 (step @p420 :rule cnf_or_neg :args (@t311 2)) % 204.95/205.27 (step @p421 :rule chain_m_resolution :premises (@p420 @p218) :args ((not @t308) @t281 @t312)) % 204.95/205.27 (step @p422 :rule cnf_or_pos :args (@t409)) % 204.95/205.27 (step @p423 :rule reordering :premises (@p422) :args ((or @t308 @t406 @t408 (not @t409)))) % 204.95/205.27 (step @p424 :rule chain_m_resolution :premises (@p423 @p421 @p419 @p361) :args (@t408 @t410 (@list @t308 @t403 @t409))) % 204.95/205.27 (step @p425 :rule cnf_or_pos :args (@t413)) % 204.95/205.27 (step @p426 :rule reordering :premises (@p425) :args ((or @t310 @t407 @t412 (not @t413)))) % 204.95/205.27 (step @p427 :rule chain_m_resolution :premises (@p426 @p416 @p424 @p350) :args (@t412 (@list false true false) (@list @t309 @t407 @t413))) % 204.95/205.27 (step @p428 :rule bool-double-not-elim :args (@t411)) % 204.95/205.27 (step @p429 :rule refl :args (@t414)) % 204.95/205.27 (step @p430 :rule nary_cong :premises (@p233 @p429 @p428) :args ((or @t320 @t414 (not @t412)))) % 204.95/205.27 (assume-push @p480 @t412) % 204.95/205.27 (assume-push @p481 @t377) % 204.95/205.27 (assume-push @p482 @t319) % 204.95/205.27 (step @p434 :rule evaluate :args ((= true false))) % 204.95/205.27 (step @p435 :rule false_intro :premises (@p480)) % 204.95/205.27 (step @p436 :rule refl :args (@t317)) % 204.95/205.27 (step @p437 :rule symm :premises (@p481)) % 204.95/205.27 (step @p395 :rule refl :args (@t239)) % 204.95/205.27 (step @p438 :rule cong :premises (@p395 @p437 @p436) :args (@t319)) % 204.95/205.27 (step @p439 :rule true_intro :premises (@p482)) % 204.95/205.27 (step @p440 :rule symm :premises (@p439)) % 204.95/205.27 (step @p441 :rule trans :premises (@p440 @p438 @p435)) % 204.95/205.27 (step @p442 false :rule eq_resolve :premises (@p441 @p434)) % 204.95/205.27 (step-pop @p483 :rule scope :premises (@p442)) % 204.95/205.27 (step-pop @p484 :rule scope :premises (@p483)) % 204.95/205.27 (step-pop @p485 :rule scope :premises (@p484)) % 204.95/205.27 (step @p443 :rule process_scope :premises (@p485) :args (false)) % 204.95/205.27 (assume-push @p486 @t319) % 204.95/205.27 (assume-push @p487 @t377) % 204.95/205.27 (assume-push @p488 @t412) % 204.95/205.27 (step @p450 :rule and_intro :premises (@p488 @p487 @p486)) % 204.95/205.27 (step-pop @p489 :rule scope :premises (@p450)) % 204.95/205.27 (step-pop @p490 :rule scope :premises (@p489)) % 204.95/205.27 (step-pop @p491 :rule scope :premises (@p490)) % 204.95/205.27 (step @p451 :rule process_scope :premises (@p491) :args (@t415)) % 204.95/205.27 (step @p455 :rule implies_elim :premises (@p451)) % 204.95/205.27 (step @p456 :rule resolution :premises (@p455 @p443) :args (true @t415)) % 204.95/205.27 (step @p457 :rule not_and :premises (@p456)) % 204.95/205.27 (step @p458 :rule eq_resolve :premises (@p457 @p430)) % 204.95/205.27 (step @p459 false :rule chain_m_resolution :premises (@p458 @p427 @p332 @p254) :args (false @t410 (@list @t411 @t377 @t319))) % 204.95/205.27 ) % 204.95/205.27 % SZS output end Proof % 204.95/205.27 % cvc5 exiting %------------------------------------------------------------------------------