%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM139+1 : TPTP v9.2.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:10:34 AM UTC 2026 % Result : Theorem 34.16s 34.46s % Output : Proof 34.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM139+1 : TPTP v9.2.1. Released v6.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.35 % DateTime : Mon Jun 1 20:31:09 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 34.16/34.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.16/34.46 --- Run --no-e-matching --full-saturate-quant at 6... % 34.16/34.46 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.16/34.46 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.16/34.46 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.16/34.46 % SZS status Theorem % 34.16/34.46 % SZS output start Proof % 34.16/34.46 ( % 34.16/34.46 (declare-sort $$unsorted 0) % 34.16/34.46 (declare-const tptp.veabs $$unsorted) % 34.16/34.46 (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted)) % 34.16/34.46 (declare-const tptp.vgetSomeExp (-> $$unsorted $$unsorted)) % 34.16/34.46 (declare-const tptp.vsomeExp (-> $$unsorted $$unsorted)) % 34.16/34.46 (declare-const tptp.vnoExp $$unsorted) % 34.16/34.46 (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.16/34.46 (declare-const tptp.vgensym (-> $$unsorted $$unsorted)) % 34.16/34.46 (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted)) % 34.16/34.46 (declare-const tptp.visValue (-> $$unsorted Bool)) % 34.16/34.46 (declare-const tptp.vempty $$unsorted) % 34.16/34.46 (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.16/34.46 (declare-const tptp.vnoType $$unsorted) % 34.16/34.46 (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool)) % 34.16/34.46 (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.16/34.46 (declare-const tptp.vsomeType (-> $$unsorted $$unsorted)) % 34.16/34.46 (declare-const tptp.visSomeExp (-> $$unsorted Bool)) % 34.16/34.46 (declare-const tptp.vvar (-> $$unsorted $$unsorted)) % 34.16/34.46 (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted)) % 34.16/34.46 (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.16/34.46 (declare-const tptp.visSomeType (-> $$unsorted Bool)) % 34.16/34.46 (declare-const tptp.vreduce (-> $$unsorted $$unsorted)) % 34.16/34.46 (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted)) % 34.16/34.46 (define @t1 () (@var "VVar1" $$unsorted)) % 34.16/34.46 (define @t2 () (@var "VVar0" $$unsorted)) % 34.16/34.46 (define @t3 () (tptp.vvar @t2)) % 34.16/34.46 (define @t4 () (= @t3 (tptp.vvar @t1))) % 34.16/34.46 (define @t5 () (= @t2 @t1)) % 34.16/34.46 (define @t6 () (@var "VExp1" $$unsorted)) % 34.16/34.46 (define @t7 () (@var "VTyp1" $$unsorted)) % 34.16/34.46 (define @t8 () (@var "VExp0" $$unsorted)) % 34.16/34.46 (define @t9 () (@var "VTyp0" $$unsorted)) % 34.16/34.46 (define @t10 () (tptp.vabs @t2 @t9 @t8)) % 34.16/34.46 (define @t11 () (= @t10 (tptp.vabs @t1 @t7 @t6))) % 34.16/34.46 (define @t12 () (= @t8 @t6)) % 34.16/34.46 (define @t13 () (= @t9 @t7)) % 34.16/34.46 (define @t14 () (and @t5 @t13 @t12)) % 34.16/34.46 (define @t15 () (and (=> @t11 @t14) (=> @t14 @t11))) % 34.16/34.46 (define @t16 () (@list @t2 @t9 @t8 @t1 @t7 @t6)) % 34.16/34.46 (define @t17 () (forall @t16 @t15)) % 34.16/34.46 (define @t18 () (@var "VExp3" $$unsorted)) % 34.16/34.46 (define @t19 () (@var "VExp2" $$unsorted)) % 34.16/34.46 (define @t20 () (tptp.vapp @t8 @t6)) % 34.16/34.46 (define @t21 () (= @t20 (tptp.vapp @t19 @t18))) % 34.16/34.46 (define @t22 () (and (= @t8 @t19) (= @t6 @t18))) % 34.16/34.46 (define @t23 () (forall (@list @t2 @t1 @t9 @t8) (not (= @t3 (tptp.vabs @t1 @t9 @t8))))) % 34.16/34.46 (define @t24 () (forall (@list @t2 @t9 @t8 @t6 @t19) (not (= @t10 (tptp.vapp @t6 @t19))))) % 34.16/34.46 (define @t25 () (tptp.visValue @t8)) % 34.16/34.46 (define @t26 () (@var "Ve" $$unsorted)) % 34.16/34.46 (define @t27 () (@var "VS" $$unsorted)) % 34.16/34.46 (define @t28 () (@var "Vx" $$unsorted)) % 34.16/34.46 (define @t29 () (tptp.vabs @t28 @t27 @t26)) % 34.16/34.46 (define @t30 () (= @t8 @t29)) % 34.16/34.46 (define @t31 () (not @t25)) % 34.16/34.46 (define @t32 () (tptp.vvar @t28)) % 34.16/34.46 (define @t33 () (= @t8 @t32)) % 34.16/34.46 (define @t34 () (@var "Ve2" $$unsorted)) % 34.16/34.46 (define @t35 () (@var "Ve1" $$unsorted)) % 34.16/34.46 (define @t36 () (tptp.vapp @t35 @t34)) % 34.16/34.46 (define @t37 () (= @t8 @t36)) % 34.16/34.46 (define @t38 () (@var "Vv" $$unsorted)) % 34.16/34.46 (define @t39 () (= @t28 @t38)) % 34.16/34.46 (define @t40 () (tptp.visFreeVar @t2 @t8)) % 34.16/34.46 (define @t41 () (= @t2 @t38)) % 34.16/34.46 (define @t42 () (tptp.visFreeVar @t38 @t26)) % 34.16/34.46 (define @t43 () (and (not @t39) @t42)) % 34.16/34.46 (define @t44 () (@var "VT" $$unsorted)) % 34.16/34.46 (define @t45 () (or (tptp.visFreeVar @t38 @t35) (tptp.visFreeVar @t38 @t34))) % 34.16/34.46 (define @t46 () (= tptp.vempty tptp.vempty)) % 34.16/34.46 (define @t47 () (@var "VCtx1" $$unsorted)) % 34.16/34.46 (define @t48 () (@var "VCtx0" $$unsorted)) % 34.16/34.46 (define @t49 () (tptp.vbind @t2 @t9 @t48)) % 34.16/34.46 (define @t50 () (= @t49 (tptp.vbind @t1 @t7 @t47))) % 34.16/34.46 (define @t51 () (and @t5 @t13 (= @t48 @t47))) % 34.16/34.46 (define @t52 () (= tptp.vnoType tptp.vnoType)) % 34.16/34.46 (define @t53 () (tptp.vsomeType @t9)) % 34.16/34.46 (define @t54 () (= @t53 (tptp.vsomeType @t7))) % 34.16/34.46 (define @t55 () (@var "VOptTyp0" $$unsorted)) % 34.16/34.46 (define @t56 () (tptp.visSomeType @t55)) % 34.16/34.46 (define @t57 () (= @t55 (tptp.vsomeType @t26))) % 34.16/34.46 (define @t58 () (@var "RESULT" $$unsorted)) % 34.16/34.46 (define @t59 () (= @t58 @t26)) % 34.16/34.46 (define @t60 () (= @t58 tptp.vnoType)) % 34.16/34.46 (define @t61 () (tptp.vlookup @t2 @t48)) % 34.16/34.46 (define @t62 () (= @t58 @t61)) % 34.16/34.46 (define @t63 () (= @t48 tptp.vempty)) % 34.16/34.46 (define @t64 () (= @t2 @t28)) % 34.16/34.46 (define @t65 () (@var "VTy" $$unsorted)) % 34.16/34.46 (define @t66 () (= @t58 (tptp.vsomeType @t65))) % 34.16/34.46 (define @t67 () (@var "Vy" $$unsorted)) % 34.16/34.46 (define @t68 () (= @t28 @t67)) % 34.16/34.46 (define @t69 () (@var "VC" $$unsorted)) % 34.16/34.46 (define @t70 () (tptp.vbind @t67 @t65 @t69)) % 34.16/34.46 (define @t71 () (= @t48 @t70)) % 34.16/34.46 (define @t72 () (and @t64 @t71)) % 34.16/34.46 (define @t73 () (tptp.vlookup @t28 @t69)) % 34.16/34.46 (define @t74 () (= @t58 @t73)) % 34.16/34.46 (define @t75 () (=> @t62 @t74)) % 34.16/34.46 (define @t76 () (not @t68)) % 34.16/34.46 (define @t77 () (=> @t76 @t75)) % 34.16/34.46 (define @t78 () (@list @t65 @t67 @t2 @t48 @t58 @t28 @t69)) % 34.16/34.46 (define @t79 () (forall @t78 (=> @t72 @t77))) % 34.16/34.46 (define @t80 () (@list @t65 @t67 @t28 @t69)) % 34.16/34.46 (define @t81 () (@list @t28)) % 34.16/34.46 (define @t82 () (@var "VTx" $$unsorted)) % 34.16/34.46 (define @t83 () (tptp.vbind @t28 @t82 @t69)) % 34.16/34.46 (define @t84 () (tptp.vtcheck (tptp.vbind @t28 @t82 @t70) @t26 @t44)) % 34.16/34.46 (define @t85 () (@list @t67 @t65 @t28 @t82 @t69 @t26 @t44)) % 34.16/34.46 (define @t86 () (tptp.vtcheck (tptp.vbind @t67 @t65 @t83) @t26 @t44)) % 34.16/34.46 (define @t87 () (and @t76 @t84)) % 34.16/34.46 (define @t88 () (forall @t85 (=> @t87 @t86))) % 34.16/34.46 (define @t89 () (tptp.vsubst @t2 @t8 @t6)) % 34.16/34.46 (define @t90 () (= @t58 @t89)) % 34.16/34.46 (define @t91 () (tptp.vvar @t67)) % 34.16/34.46 (define @t92 () (= @t6 @t91)) % 34.16/34.46 (define @t93 () (= @t8 @t26)) % 34.16/34.46 (define @t94 () (and @t64 @t93 @t92)) % 34.16/34.46 (define @t95 () (= @t58 @t91)) % 34.16/34.46 (define @t96 () (tptp.vsubst @t28 @t26 @t35)) % 34.16/34.46 (define @t97 () (= @t58 (tptp.vapp @t96 (tptp.vsubst @t28 @t26 @t34)))) % 34.16/34.46 (define @t98 () (= @t6 @t36)) % 34.16/34.46 (define @t99 () (tptp.vabs @t67 @t44 @t35)) % 34.16/34.46 (define @t100 () (= @t58 @t99)) % 34.16/34.46 (define @t101 () (= @t6 @t99)) % 34.16/34.46 (define @t102 () (and @t64 @t93 @t101)) % 34.16/34.46 (define @t103 () (@var "Vfresh" $$unsorted)) % 34.16/34.46 (define @t104 () (= @t58 (tptp.vsubst @t28 @t26 (tptp.vabs @t103 @t44 (tptp.vsubst @t67 (tptp.vvar @t103) @t35))))) % 34.16/34.46 (define @t105 () (= @t103 (tptp.vgensym (tptp.vapp (tptp.vapp @t26 @t35) @t32)))) % 34.16/34.46 (define @t106 () (tptp.visFreeVar @t67 @t26)) % 34.16/34.46 (define @t107 () (= @t58 (tptp.vabs @t67 @t44 @t96))) % 34.16/34.46 (define @t108 () (not @t106)) % 34.16/34.46 (define @t109 () (= tptp.vnoExp tptp.vnoExp)) % 34.16/34.46 (define @t110 () (tptp.vsomeExp @t8)) % 34.16/34.46 (define @t111 () (= @t110 (tptp.vsomeExp @t6))) % 34.16/34.46 (define @t112 () (@var "VOptExp0" $$unsorted)) % 34.16/34.46 (define @t113 () (tptp.visSomeExp @t112)) % 34.16/34.46 (define @t114 () (= @t112 (tptp.vsomeExp @t26))) % 34.16/34.46 (define @t115 () (= @t58 tptp.vnoExp)) % 34.16/34.46 (define @t116 () (tptp.vreduce @t8)) % 34.16/34.46 (define @t117 () (= @t58 @t116)) % 34.16/34.46 (define @t118 () (=> @t117 @t115)) % 34.16/34.46 (define @t119 () (@var "Ve2red" $$unsorted)) % 34.16/34.46 (define @t120 () (tptp.vabs @t28 @t27 @t35)) % 34.16/34.46 (define @t121 () (= @t58 (tptp.vsomeExp (tptp.vapp @t120 (tptp.vgetSomeExp @t119))))) % 34.16/34.46 (define @t122 () (tptp.visSomeExp @t119)) % 34.16/34.46 (define @t123 () (= @t119 (tptp.vreduce @t34))) % 34.16/34.46 (define @t124 () (= @t8 (tptp.vapp @t120 @t34))) % 34.16/34.46 (define @t125 () (= @t58 (tptp.vsomeExp (tptp.vsubst @t28 @t34 @t35)))) % 34.16/34.46 (define @t126 () (tptp.visValue @t34)) % 34.16/34.46 (define @t127 () (not @t122)) % 34.16/34.46 (define @t128 () (not @t126)) % 34.16/34.46 (define @t129 () (@var "Ve1red" $$unsorted)) % 34.16/34.46 (define @t130 () (= @t58 (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t129) @t34)))) % 34.16/34.46 (define @t131 () (tptp.visSomeExp @t129)) % 34.16/34.46 (define @t132 () (= @t129 (tptp.vreduce @t35))) % 34.16/34.46 (define @t133 () (@var "VVe10" $$unsorted)) % 34.16/34.46 (define @t134 () (@var "VVS0" $$unsorted)) % 34.16/34.46 (define @t135 () (@var "VVx0" $$unsorted)) % 34.16/34.46 (define @t136 () (forall (@list @t135 @t134 @t133) (not (= @t35 (tptp.vabs @t135 @t134 @t133))))) % 34.16/34.46 (define @t137 () (and @t37 @t136)) % 34.16/34.46 (define @t138 () (not @t131)) % 34.16/34.46 (define @t139 () (@var "VTyp3" $$unsorted)) % 34.16/34.46 (define @t140 () (@var "VTyp2" $$unsorted)) % 34.16/34.46 (define @t141 () (= (tptp.varrow @t9 @t7) (tptp.varrow @t140 @t139))) % 34.16/34.46 (define @t142 () (and (= @t9 @t140) (= @t7 @t139))) % 34.16/34.46 (define @t143 () (= @t73 (tptp.vsomeType @t44))) % 34.16/34.46 (define @t144 () (tptp.varrow @t27 @t44)) % 34.16/34.46 (define @t145 () (tptp.vtcheck @t69 @t29 @t144)) % 34.16/34.46 (define @t146 () (tptp.vbind @t28 @t27 @t69)) % 34.16/34.46 (define @t147 () (tptp.vtcheck @t146 @t26 @t44)) % 34.16/34.46 (define @t148 () (forall (@list @t69 @t28 @t26 @t27 @t44) (=> @t147 @t145))) % 34.16/34.46 (define @t149 () (tptp.vtcheck @t69 @t34 @t27)) % 34.16/34.46 (define @t150 () (tptp.vtcheck @t69 @t35 @t144)) % 34.16/34.46 (define @t151 () (and @t150 @t149)) % 34.16/34.46 (define @t152 () (= @t26 @t36)) % 34.16/34.46 (define @t153 () (and @t152 @t150 @t149)) % 34.16/34.46 (define @t154 () (@list @t35 @t34 @t27)) % 34.16/34.46 (define @t155 () (exists @t154 @t153)) % 34.16/34.46 (define @t156 () (@var "VT2" $$unsorted)) % 34.16/34.46 (define @t157 () (@var "VT1" $$unsorted)) % 34.16/34.46 (define @t158 () (tptp.vtcheck (tptp.vbind @t28 @t157 @t69) @t34 @t156)) % 34.16/34.46 (define @t159 () (tptp.varrow @t157 @t156)) % 34.16/34.46 (define @t160 () (= @t44 @t159)) % 34.16/34.46 (define @t161 () (tptp.vabs @t28 @t157 @t34)) % 34.16/34.46 (define @t162 () (= @t26 @t161)) % 34.16/34.46 (define @t163 () (and @t162 @t160 @t158)) % 34.16/34.46 (define @t164 () (@list @t28 @t34 @t157 @t156)) % 34.16/34.46 (define @t165 () (exists @t164 @t163)) % 34.16/34.46 (define @t166 () (= @t26 @t32)) % 34.16/34.46 (define @t167 () (and @t166 @t143)) % 34.16/34.46 (define @t168 () (exists @t81 @t167)) % 34.16/34.46 (define @t169 () (or @t168 @t165 @t155)) % 34.16/34.46 (define @t170 () (tptp.vtcheck @t69 @t26 @t44)) % 34.16/34.46 (define @t171 () (=> @t170 @t169)) % 34.16/34.46 (define @t172 () (@list @t26 @t44 @t69)) % 34.16/34.46 (define @t173 () (forall @t172 @t171)) % 34.16/34.46 (define @t174 () (tptp.vtcheck @t146 tptp.veabs @t44)) % 34.16/34.46 (define @t175 () (tptp.vtcheck @t69 tptp.veabs @t44)) % 34.16/34.46 (define @t176 () (= @t73 tptp.vnoType)) % 34.16/34.46 (define @t177 () (and @t176 @t175)) % 34.16/34.46 (define @t178 () (=> @t177 @t174)) % 34.16/34.46 (define @t179 () (@list @t28 @t27 @t69 @t44)) % 34.16/34.46 (define @t180 () (forall @t179 @t178)) % 34.16/34.46 (define @t181 () (@var "VS1" $$unsorted)) % 34.16/34.46 (define @t182 () (tptp.vabs @t67 @t181 tptp.veabs)) % 34.16/34.46 (define @t183 () (tptp.vtcheck @t146 @t182 @t44)) % 34.16/34.46 (define @t184 () (tptp.vtcheck @t69 @t182 @t44)) % 34.16/34.46 (define @t185 () (and @t76 @t176 @t184)) % 34.16/34.46 (define @t186 () (=> @t185 @t183)) % 34.16/34.46 (define @t187 () (@list @t28 @t27 @t69 @t67 @t181 @t44)) % 34.16/34.46 (define @t188 () (forall @t187 @t186)) % 34.16/34.46 (define @t189 () (not @t188)) % 34.16/34.46 (define @t190 () (not @t149)) % 34.16/34.46 (define @t191 () (not @t150)) % 34.16/34.46 (define @t192 () (not @t152)) % 34.16/34.46 (define @t193 () (or @t192 @t191 @t190)) % 34.16/34.46 (define @t194 () (not (forall @t154 @t193))) % 34.16/34.46 (define @t195 () (not @t158)) % 34.16/34.46 (define @t196 () (not @t160)) % 34.16/34.46 (define @t197 () (not @t162)) % 34.16/34.46 (define @t198 () (or @t197 @t196 @t195)) % 34.16/34.46 (define @t199 () (not (forall @t164 @t198))) % 34.16/34.46 (define @t200 () (not (forall @t81 (or (not @t166) (not @t143))))) % 34.16/34.46 (define @t201 () (not @t170)) % 34.16/34.46 (define @t202 () (or @t201 @t200 @t199 @t194)) % 34.16/34.46 (define @t203 () (or @t200 @t199 @t194)) % 34.16/34.46 (define @t204 () (forall @t154 (not @t153))) % 34.16/34.46 (define @t205 () (not @t204)) % 34.16/34.46 (define @t206 () (forall @t164 (not @t163))) % 34.16/34.46 (define @t207 () (not @t206)) % 34.16/34.46 (define @t208 () (forall @t81 (not @t167))) % 34.16/34.46 (define @t209 () (not @t208)) % 34.16/34.46 (define @t210 () (not @t184)) % 34.16/34.46 (define @t211 () (= tptp.vnoType @t73)) % 34.16/34.46 (define @t212 () (not @t211)) % 34.16/34.46 (define @t213 () (or @t68 @t212 @t210 @t183)) % 34.16/34.46 (define @t214 () (forall @t187 @t213)) % 34.16/34.46 (define @t215 () (@quantifiers_skolemize @t214 2)) % 34.16/34.46 (define @t216 () (not (tptp.vtcheck @t215 @t34 @t27))) % 34.16/34.46 (define @t217 () (@quantifiers_skolemize @t214 5)) % 34.16/34.46 (define @t218 () (not (tptp.vtcheck @t215 @t35 (tptp.varrow @t27 @t217)))) % 34.16/34.46 (define @t219 () (@quantifiers_skolemize @t214 4)) % 34.16/34.46 (define @t220 () (@quantifiers_skolemize @t214 3)) % 34.16/34.46 (define @t221 () (tptp.vabs @t220 @t219 tptp.veabs)) % 34.16/34.46 (define @t222 () (not (= @t221 @t36))) % 34.16/34.46 (define @t223 () (or @t222 @t218 @t216)) % 34.16/34.46 (define @t224 () (forall @t154 @t223)) % 34.16/34.46 (define @t225 () (not @t224)) % 34.16/34.46 (define @t226 () (not (tptp.vtcheck (tptp.vbind @t28 @t157 @t215) @t34 @t156))) % 34.16/34.46 (define @t227 () (not (= @t217 @t159))) % 34.16/34.46 (define @t228 () (not (= @t221 @t161))) % 34.16/34.46 (define @t229 () (or @t228 @t227 @t226)) % 34.16/34.46 (define @t230 () (forall @t164 @t229)) % 34.16/34.46 (define @t231 () (not @t230)) % 34.16/34.46 (define @t232 () (tptp.vsomeType @t217)) % 34.16/34.46 (define @t233 () (not (= (tptp.vlookup @t28 @t215) @t232))) % 34.16/34.46 (define @t234 () (not (= @t221 @t32))) % 34.16/34.46 (define @t235 () (or @t234 @t233)) % 34.16/34.46 (define @t236 () (forall @t81 @t235)) % 34.16/34.46 (define @t237 () (not @t236)) % 34.16/34.46 (define @t238 () (tptp.vtcheck @t215 @t221 @t217)) % 34.16/34.46 (define @t239 () (not @t238)) % 34.16/34.46 (define @t240 () (or @t239 @t237 @t231 @t225)) % 34.16/34.46 (define @t241 () (forall @t172 @t202)) % 34.16/34.46 (define @t242 () (forall @t154 (or (not (= @t36 @t221)) @t218 @t216))) % 34.16/34.46 (define @t243 () (not @t242)) % 34.16/34.46 (define @t244 () (forall @t164 (or (not (= @t161 @t221)) (not (= @t159 @t217)) @t226))) % 34.16/34.46 (define @t245 () (not @t244)) % 34.16/34.46 (define @t246 () (forall @t81 (or (not (= @t32 @t221)) @t233))) % 34.16/34.46 (define @t247 () (not @t246)) % 34.16/34.46 (define @t248 () (or @t239 @t247 @t245 @t243)) % 34.16/34.46 (define @t249 () (@list false)) % 34.16/34.46 (define @t250 () (@quantifiers_skolemize @t244 1)) % 34.16/34.46 (define @t251 () (@quantifiers_skolemize @t244 2)) % 34.16/34.46 (define @t252 () (@quantifiers_skolemize @t244 0)) % 34.16/34.46 (define @t253 () (tptp.vabs @t252 @t251 @t250)) % 34.16/34.46 (define @t254 () (= @t221 @t253)) % 34.16/34.46 (define @t255 () (@quantifiers_skolemize @t244 3)) % 34.16/34.46 (define @t256 () (tptp.vbind @t252 @t251 @t215)) % 34.16/34.46 (define @t257 () (tptp.vtcheck @t256 @t250 @t255)) % 34.16/34.46 (define @t258 () (not @t257)) % 34.16/34.46 (define @t259 () (tptp.varrow @t251 @t255)) % 34.16/34.46 (define @t260 () (= @t217 @t259)) % 34.16/34.46 (define @t261 () (not @t260)) % 34.16/34.46 (define @t262 () (not @t254)) % 34.16/34.46 (define @t263 () (or @t262 @t261 @t258)) % 34.16/34.46 (define @t264 () (@var "BOUND_VARIABLE_8015" $$unsorted)) % 34.16/34.46 (define @t265 () (@var "BOUND_VARIABLE_8009" $$unsorted)) % 34.16/34.46 (define @t266 () (@var "BOUND_VARIABLE_8013" $$unsorted)) % 34.16/34.46 (define @t267 () (@var "BOUND_VARIABLE_8007" $$unsorted)) % 34.16/34.46 (define @t268 () (@var "BOUND_VARIABLE_8011" $$unsorted)) % 34.16/34.46 (define @t269 () (@var "BOUND_VARIABLE_8005" $$unsorted)) % 34.16/34.46 (define @t270 () (forall (@list @t269 @t267 @t265 @t268 @t266 @t264) (or (not (= (tptp.vabs @t269 @t267 @t265) (tptp.vabs @t268 @t266 @t264))) (and (= @t269 @t268) (= @t267 @t266) (= @t265 @t264))))) % 34.16/34.46 (define @t271 () (@var "BOUND_VARIABLE_8038" $$unsorted)) % 34.16/34.46 (define @t272 () (@var "BOUND_VARIABLE_8036" $$unsorted)) % 34.16/34.46 (define @t273 () (@var "BOUND_VARIABLE_8034" $$unsorted)) % 34.16/34.46 (define @t274 () (@list @t273 @t272 @t271)) % 34.16/34.46 (define @t275 () (tptp.vabs @t273 @t272 @t271)) % 34.16/34.46 (define @t276 () (not (= @t271 @t271))) % 34.16/34.46 (define @t277 () (or @t276 (= @t275 @t275))) % 34.16/34.46 (define @t278 () (@var "BOUND_VARIABLE_8032" $$unsorted)) % 34.16/34.46 (define @t279 () (= @t275 (tptp.vabs @t273 @t272 @t278))) % 34.16/34.46 (define @t280 () (not (= @t278 @t271))) % 34.16/34.46 (define @t281 () (or @t280 @t280 @t279)) % 34.16/34.46 (define @t282 () (@list @t278)) % 34.16/34.46 (define @t283 () (or @t280 @t279)) % 34.16/34.46 (define @t284 () (forall @t282 @t283)) % 34.16/34.46 (define @t285 () (forall @t274 @t284)) % 34.16/34.46 (define @t286 () (forall (@list @t273 @t272 @t271 @t278) @t283)) % 34.16/34.46 (define @t287 () (@list @t278 @t273 @t272 @t271)) % 34.16/34.46 (define @t288 () (not (= @t272 @t272))) % 34.16/34.46 (define @t289 () (or @t288 @t280 @t279)) % 34.16/34.46 (define @t290 () (@var "BOUND_VARIABLE_8030" $$unsorted)) % 34.16/34.46 (define @t291 () (tptp.vabs @t273 @t290 @t278)) % 34.16/34.46 (define @t292 () (= @t275 @t291)) % 34.16/34.46 (define @t293 () (not (= @t290 @t272))) % 34.16/34.46 (define @t294 () (or @t293 @t293 @t280 @t292)) % 34.16/34.46 (define @t295 () (@list @t290)) % 34.16/34.46 (define @t296 () (or @t293 @t280 @t292)) % 34.16/34.46 (define @t297 () (forall @t295 @t296)) % 34.16/34.46 (define @t298 () (forall @t287 @t297)) % 34.16/34.46 (define @t299 () (forall (@list @t278 @t273 @t272 @t271 @t290) @t296)) % 34.16/34.46 (define @t300 () (@list @t290 @t278 @t273 @t272 @t271)) % 34.16/34.46 (define @t301 () (not (= @t273 @t273))) % 34.16/34.46 (define @t302 () (or @t301 @t293 @t280 (= @t291 @t275))) % 34.16/34.46 (define @t303 () (@var "BOUND_VARIABLE_8028" $$unsorted)) % 34.16/34.46 (define @t304 () (= (tptp.vabs @t303 @t290 @t278) @t275)) % 34.16/34.46 (define @t305 () (not (= @t303 @t273))) % 34.16/34.46 (define @t306 () (or @t305 @t305 @t293 @t280 @t304)) % 34.16/34.46 (define @t307 () (@list @t303)) % 34.16/34.46 (define @t308 () (or @t305 @t293 @t280 @t304)) % 34.16/34.46 (define @t309 () (forall @t307 @t308)) % 34.16/34.46 (define @t310 () (forall @t300 @t309)) % 34.16/34.46 (define @t311 () (forall (@list @t290 @t278 @t273 @t272 @t271 @t303) @t308)) % 34.16/34.46 (define @t312 () (forall (@list @t303 @t290 @t278 @t273 @t272 @t271) @t308)) % 34.16/34.46 (define @t313 () (not @t12)) % 34.16/34.46 (define @t314 () (not @t13)) % 34.16/34.46 (define @t315 () (not @t5)) % 34.16/34.46 (define @t316 () (or @t315 @t314 @t313 @t11)) % 34.16/34.46 (define @t317 () (forall @t16 @t316)) % 34.16/34.46 (define @t318 () (@list @t2 @t9 @t8 @t1 @t7 @t6)) % 34.16/34.46 (define @t319 () (or (not @t11) @t14)) % 34.16/34.46 (define @t320 () (forall @t16 @t319)) % 34.16/34.46 (define @t321 () (and @t320 @t317)) % 34.16/34.46 (define @t322 () (or @t315 @t314 @t313)) % 34.16/34.46 (define @t323 () (= tptp.veabs @t250)) % 34.16/34.46 (define @t324 () (= @t219 @t251)) % 34.16/34.46 (define @t325 () (= @t220 @t252)) % 34.16/34.46 (define @t326 () (and @t325 @t324 @t323)) % 34.16/34.46 (define @t327 () (or @t262 @t326)) % 34.16/34.46 (define @t328 () (not @t326)) % 34.16/34.46 (define @t329 () (not @t76)) % 34.16/34.46 (define @t330 () (or @t329 @t212 @t210)) % 34.16/34.46 (define @t331 () (and @t76 @t211 @t184)) % 34.16/34.46 (define @t332 () (@quantifiers_skolemize @t214 1)) % 34.16/34.46 (define @t333 () (@quantifiers_skolemize @t214 0)) % 34.16/34.46 (define @t334 () (tptp.vbind @t333 @t332 @t215)) % 34.16/34.46 (define @t335 () (tptp.vtcheck @t334 @t221 @t217)) % 34.16/34.46 (define @t336 () (tptp.vlookup @t333 @t215)) % 34.16/34.46 (define @t337 () (= tptp.vnoType @t336)) % 34.16/34.46 (define @t338 () (not @t337)) % 34.16/34.46 (define @t339 () (= @t333 @t220)) % 34.16/34.46 (define @t340 () (or @t339 @t338 @t239 @t335)) % 34.16/34.46 (define @t341 () (not @t335)) % 34.16/34.46 (define @t342 () (@list true)) % 34.16/34.46 (define @t343 () (@list @t340)) % 34.16/34.46 (define @t344 () (tptp.varrow @t219 @t255)) % 34.16/34.46 (define @t345 () (tptp.vtcheck @t334 @t221 @t344)) % 34.16/34.46 (define @t346 () (not @t345)) % 34.16/34.46 (define @t347 () (not @t324)) % 34.16/34.46 (define @t348 () (and @t341 @t260 @t324)) % 34.16/34.46 (define @t349 () (tptp.vtcheck (tptp.vbind @t220 @t219 @t334) tptp.veabs @t255)) % 34.16/34.46 (define @t350 () (not @t349)) % 34.16/34.46 (define @t351 () (or @t350 @t345)) % 34.16/34.46 (define @t352 () (not @t339)) % 34.16/34.46 (define @t353 () (not @t84)) % 34.16/34.46 (define @t354 () (tptp.vbind @t220 @t219 @t215)) % 34.16/34.46 (define @t355 () (tptp.vtcheck (tptp.vbind @t333 @t332 @t354) tptp.veabs @t255)) % 34.16/34.46 (define @t356 () (not @t355)) % 34.16/34.46 (define @t357 () (or @t339 @t356 @t349)) % 34.16/34.46 (define @t358 () (= @t333 @t252)) % 34.16/34.46 (define @t359 () (not @t358)) % 34.16/34.46 (define @t360 () (not @t325)) % 34.16/34.46 (define @t361 () (and @t352 @t325)) % 34.16/34.46 (define @t362 () (tptp.vtcheck @t354 tptp.veabs @t255)) % 34.16/34.46 (define @t363 () (and @t257 @t325 @t324 @t323)) % 34.16/34.46 (define @t364 () (tptp.vlookup @t28 @t70)) % 34.16/34.46 (define @t365 () (= @t73 @t364)) % 34.16/34.46 (define @t366 () (not (= @t364 @t364))) % 34.16/34.46 (define @t367 () (or @t68 @t366 (= @t364 @t73))) % 34.16/34.46 (define @t368 () (not (= @t58 @t364))) % 34.16/34.46 (define @t369 () (or @t368 @t68 @t368 @t74)) % 34.16/34.46 (define @t370 () (@list @t58)) % 34.16/34.46 (define @t371 () (or @t68 @t368 @t74)) % 34.16/34.46 (define @t372 () (forall @t370 @t371)) % 34.16/34.46 (define @t373 () (forall @t80 @t372)) % 34.16/34.46 (define @t374 () (forall (@list @t65 @t67 @t28 @t69 @t58) @t371)) % 34.16/34.46 (define @t375 () (@list @t65 @t67 @t58 @t28 @t69)) % 34.16/34.46 (define @t376 () (not (= @t70 @t70))) % 34.16/34.46 (define @t377 () (or @t376 @t68 @t368 @t74)) % 34.16/34.46 (define @t378 () (not (= @t58 (tptp.vlookup @t28 @t48)))) % 34.16/34.46 (define @t379 () (not @t71)) % 34.16/34.46 (define @t380 () (or @t379 @t379 @t68 @t378 @t74)) % 34.16/34.46 (define @t381 () (@list @t48)) % 34.16/34.46 (define @t382 () (or @t379 @t68 @t378 @t74)) % 34.16/34.46 (define @t383 () (forall @t381 @t382)) % 34.16/34.46 (define @t384 () (forall @t375 @t383)) % 34.16/34.46 (define @t385 () (forall (@list @t65 @t67 @t58 @t28 @t69 @t48) @t382)) % 34.16/34.46 (define @t386 () (@list @t65 @t67 @t48 @t58 @t28 @t69)) % 34.16/34.46 (define @t387 () (not (= @t28 @t28))) % 34.16/34.46 (define @t388 () (or @t387 @t379 @t68 @t378 @t74)) % 34.16/34.46 (define @t389 () (not @t62)) % 34.16/34.46 (define @t390 () (not @t64)) % 34.16/34.46 (define @t391 () (or @t390 @t390 @t379 @t68 @t389 @t74)) % 34.16/34.46 (define @t392 () (@list @t2)) % 34.16/34.46 (define @t393 () (or @t390 @t379 @t68 @t389 @t74)) % 34.16/34.46 (define @t394 () (forall @t392 @t393)) % 34.16/34.46 (define @t395 () (forall @t386 @t394)) % 34.16/34.46 (define @t396 () (forall (@list @t65 @t67 @t48 @t58 @t28 @t69 @t2) @t393)) % 34.16/34.46 (define @t397 () (or @t68 @t389 @t74)) % 34.16/34.46 (define @t398 () (tptp.vlookup @t333 @t256)) % 34.16/34.46 (define @t399 () (= @t336 @t398)) % 34.16/34.46 (define @t400 () (or @t358 @t399)) % 34.16/34.46 (define @t401 () (not @t175)) % 34.16/34.46 (define @t402 () (and @t211 @t175)) % 34.16/34.46 (define @t403 () (not @t362)) % 34.16/34.46 (define @t404 () (= tptp.vnoType (tptp.vlookup @t333 @t354))) % 34.16/34.46 (define @t405 () (not @t404)) % 34.16/34.46 (define @t406 () (or @t405 @t403 @t355)) % 34.16/34.46 (define @t407 () (and @t337 @t325 @t324 @t399)) % 34.16/34.46 (define @t408 () (not @t263)) % 34.16/34.46 (define @t409 () (not (= @t259 @t217))) % 34.16/34.46 (define @t410 () (not (= @t253 @t221))) % 34.16/34.46 (define @t411 () (or @t410 @t409 @t258)) % 34.16/34.46 (define @t412 () (not @t411)) % 34.16/34.46 (define @t413 () (@quantifiers_skolemize @t246 0)) % 34.16/34.46 (define @t414 () (tptp.vvar @t413)) % 34.16/34.46 (define @t415 () (not (= @t414 @t221))) % 34.16/34.46 (define @t416 () (= @t221 @t414)) % 34.16/34.46 (define @t417 () (not @t416)) % 34.16/34.46 (define @t418 () (tptp.vlookup @t413 @t215)) % 34.16/34.46 (define @t419 () (or @t417 (not (= @t232 @t418)))) % 34.16/34.46 (define @t420 () (not @t419)) % 34.16/34.46 (define @t421 () (not (= @t418 @t232))) % 34.16/34.46 (define @t422 () (or @t415 @t421)) % 34.16/34.46 (define @t423 () (not @t422)) % 34.16/34.46 (define @t424 () (@quantifiers_skolemize @t242 2)) % 34.16/34.46 (define @t425 () (@quantifiers_skolemize @t242 1)) % 34.16/34.46 (define @t426 () (not (tptp.vtcheck @t215 @t425 @t424))) % 34.16/34.46 (define @t427 () (@quantifiers_skolemize @t242 0)) % 34.16/34.46 (define @t428 () (not (tptp.vtcheck @t215 @t427 (tptp.varrow @t424 @t217)))) % 34.16/34.46 (define @t429 () (tptp.vapp @t427 @t425)) % 34.16/34.46 (define @t430 () (= @t221 @t429)) % 34.16/34.46 (define @t431 () (not @t430)) % 34.16/34.46 (define @t432 () (or @t431 @t428 @t426)) % 34.16/34.46 (define @t433 () (not @t432)) % 34.16/34.46 (define @t434 () (not (= @t429 @t221))) % 34.16/34.46 (define @t435 () (or @t434 @t428 @t426)) % 34.16/34.46 (define @t436 () (not @t435)) % 34.16/34.46 (assume @p1 (forall (@list @t2 @t1) (and (=> @t4 @t5) (=> @t5 @t4)))) % 34.16/34.46 (assume @p2 @t17) % 34.16/34.46 (assume @p3 (forall (@list @t8 @t6 @t19 @t18) (and (=> @t21 @t22) (=> @t22 @t21)))) % 34.16/34.46 (assume @p4 @t23) % 34.16/34.46 (assume @p5 (forall (@list @t2 @t8 @t6) (not (= @t3 @t20)))) % 34.16/34.46 (assume @p6 @t24) % 34.16/34.46 (assume @p7 (forall (@list @t28 @t27 @t26 @t8) (=> @t30 @t25))) % 34.16/34.46 (assume @p8 (forall (@list @t28 @t8) (=> @t33 @t31))) % 34.16/34.46 (assume @p9 (forall (@list @t35 @t34 @t8) (=> @t37 @t31))) % 34.16/34.46 (assume @p10 (forall (@list @t2 @t8 @t28 @t38) (=> (and @t41 @t33) (and (=> @t39 @t40) (=> @t40 @t39))))) % 34.16/34.46 (assume @p11 (forall (@list @t44 @t2 @t8 @t28 @t38 @t26) (=> (and @t41 (= @t8 (tptp.vabs @t28 @t44 @t26))) (and (=> @t43 @t40) (=> @t40 @t43))))) % 34.16/34.46 (assume @p12 (forall (@list @t2 @t8 @t35 @t38 @t34) (=> (and @t41 @t37) (and (=> @t45 @t40) (=> @t40 @t45))))) % 34.16/34.46 (assume @p13 (and (=> @t46 true) (=> true @t46))) % 34.16/34.46 (assume @p14 (forall (@list @t2 @t9 @t48 @t1 @t7 @t47) (and (=> @t50 @t51) (=> @t51 @t50)))) % 34.16/34.46 (assume @p15 (and (=> @t52 true) (=> true @t52))) % 34.16/34.46 (assume @p16 (forall (@list @t9 @t7) (and (=> @t54 @t13) (=> @t13 @t54)))) % 34.16/34.46 (assume @p17 (forall (@list @t2 @t9 @t48) (not (= tptp.vempty @t49)))) % 34.16/34.46 (assume @p18 (forall (@list @t9) (not (= tptp.vnoType @t53)))) % 34.16/34.46 (assume @p19 (forall (@list @t55) (=> (= @t55 tptp.vnoType) (not @t56)))) % 34.16/34.46 (assume @p20 (forall (@list @t26 @t55) (=> @t57 @t56))) % 34.16/34.46 (assume @p21 (forall (@list @t55 @t58 @t26) (=> @t57 (=> (= @t58 (tptp.vgetSomeType @t55)) @t59)))) % 34.16/34.46 (assume @p22 (forall (@list @t28 @t2 @t48 @t58) (=> (and @t64 @t63) (=> @t62 @t60)))) % 34.16/34.46 (assume @p23 (forall (@list @t69 @t28 @t67 @t2 @t48 @t58 @t65) (=> @t72 (=> @t68 (=> @t62 @t66))))) % 34.16/34.46 (assume @p24 @t79) % 34.16/34.46 (assume @p25 (forall (@list @t2 @t48 @t58) (=> (= @t61 @t58) (or (exists @t81 (and @t64 @t63 @t60)) (exists (@list @t69 @t28 @t67 @t65) (and @t64 @t71 @t68 @t66)) (exists @t80 (and @t64 @t71 @t76 @t74)))))) % 34.16/34.46 (assume @p26 (forall @t85 (=> (and @t68 @t84) (tptp.vtcheck @t83 @t26 @t44)))) % 34.16/34.46 (assume @p27 @t88) % 34.16/34.46 (assume @p28 (forall (@list @t38 @t26) (=> (= (tptp.vgensym @t26) @t38) (not @t42)))) % 34.16/34.46 (assume @p29 (forall (@list @t28 @t67 @t2 @t8 @t6 @t58 @t26) (=> @t94 (=> @t68 (=> @t90 @t59))))) % 34.16/34.46 (assume @p30 (forall (@list @t26 @t28 @t2 @t8 @t6 @t58 @t67) (=> @t94 (=> @t76 (=> @t90 @t95))))) % 34.16/34.46 (assume @p31 (forall (@list @t2 @t8 @t6 @t58 @t35 @t28 @t26 @t34) (=> (and @t64 @t93 @t98) (=> @t90 @t97)))) % 34.16/34.46 (assume @p32 (forall (@list @t26 @t28 @t2 @t8 @t6 @t58 @t67 @t44 @t35) (=> @t102 (=> @t68 (=> @t90 @t100))))) % 34.16/34.46 (assume @p33 (forall (@list @t2 @t8 @t6 @t58 @t28 @t26 @t44 @t67 @t103 @t35) (=> @t102 (=> (and @t76 @t106 @t105) (=> @t90 @t104))))) % 34.16/34.46 (assume @p34 (forall (@list @t2 @t8 @t6 @t58 @t67 @t44 @t28 @t26 @t35) (=> @t102 (=> (and @t76 @t108) (=> @t90 @t107))))) % 34.16/34.46 (assume @p35 (forall (@list @t2 @t8 @t6 @t58) (=> (= @t89 @t58) (or (exists (@list @t28 @t67 @t26) (and @t64 @t93 @t92 @t68 @t59)) (exists (@list @t26 @t28 @t67) (and @t64 @t93 @t92 @t76 @t95)) (exists (@list @t35 @t28 @t26 @t34) (and @t64 @t93 @t98 @t97)) (exists (@list @t26 @t28 @t67 @t44 @t35) (and @t64 @t93 @t101 @t68 @t100)) (exists (@list @t28 @t26 @t44 @t67 @t103 @t35) (and @t64 @t93 @t101 @t76 @t106 @t105 @t104)) (exists (@list @t67 @t44 @t28 @t26 @t35) (and @t64 @t93 @t101 @t76 @t108 @t107)))))) % 34.16/34.46 (assume @p36 (and (=> @t109 true) (=> true @t109))) % 34.16/34.46 (assume @p37 (forall (@list @t8 @t6) (and (=> @t111 @t12) (=> @t12 @t111)))) % 34.16/34.46 (assume @p38 (forall (@list @t8) (not (= tptp.vnoExp @t110)))) % 34.16/34.46 (assume @p39 (forall (@list @t112) (=> (= @t112 tptp.vnoExp) (not @t113)))) % 34.16/34.46 (assume @p40 (forall (@list @t26 @t112) (=> @t114 @t113))) % 34.16/34.46 (assume @p41 (forall (@list @t112 @t58 @t26) (=> @t114 (=> (= @t58 (tptp.vgetSomeExp @t112)) @t59)))) % 34.16/34.46 (assume @p42 (forall (@list @t28 @t8 @t58) (=> @t33 @t118))) % 34.16/34.46 (assume @p43 (forall (@list @t28 @t27 @t26 @t8 @t58) (=> @t30 @t118))) % 34.16/34.46 (assume @p44 (forall (@list @t34 @t8 @t58 @t28 @t27 @t35 @t119) (=> @t124 (=> (and @t123 @t122) (=> @t117 @t121))))) % 34.16/34.46 (assume @p45 (forall (@list @t27 @t119 @t8 @t58 @t28 @t34 @t35) (=> @t124 (=> (and @t123 @t127 @t126) (=> @t117 @t125))))) % 34.16/34.46 (assume @p46 (forall (@list @t28 @t27 @t35 @t119 @t34 @t8 @t58) (=> @t124 (=> (and @t123 @t127 @t128) @t118)))) % 34.16/34.46 (assume @p47 (forall (@list @t35 @t8 @t58 @t129 @t34) (=> @t137 (=> (and @t132 @t131) (=> @t117 @t130))))) % 34.16/34.46 (assume @p48 (forall (@list @t34 @t35 @t129 @t8 @t58) (=> @t137 (=> (and @t132 @t138) @t118)))) % 34.16/34.46 (assume @p49 (forall (@list @t8 @t58) (=> (= @t116 @t58) (or (exists @t81 (and @t33 @t115)) (exists (@list @t28 @t27 @t26) (and @t30 @t115)) (exists (@list @t34 @t28 @t27 @t35 @t119) (and @t124 @t123 @t122 @t121)) (exists (@list @t27 @t119 @t28 @t34 @t35) (and @t124 @t123 @t127 @t126 @t125)) (exists (@list @t28 @t27 @t35 @t119 @t34) (and @t124 @t123 @t127 @t128 @t115)) (exists (@list @t35 @t129 @t34) (and @t37 @t136 @t132 @t131 @t130)) (exists (@list @t34 @t35 @t129) (and @t37 @t136 @t132 @t138 @t115)))))) % 34.16/34.46 (assume @p50 (forall (@list @t9 @t7 @t140 @t139) (and (=> @t141 @t142) (=> @t142 @t141)))) % 34.16/34.46 (assume @p51 (forall (@list @t69 @t28 @t44) (=> @t143 (tptp.vtcheck @t69 @t32 @t44)))) % 34.16/34.46 (assume @p52 @t148) % 34.16/34.46 (assume @p53 (forall (@list @t27 @t69 @t35 @t34 @t44) (=> @t151 (tptp.vtcheck @t69 @t36 @t44)))) % 34.16/34.46 (assume @p54 @t173) % 34.16/34.46 (assume @p55 @t180) % 34.16/34.46 (assume @p56 @t189) % 34.16/34.46 (assume @p57 true) % 34.16/34.46 (step @p58 :rule aci_norm :args ((= (or @t201 @t203) @t202))) % 34.16/34.46 (step @p59 :rule bool-impl-elim :args (@t170 @t203)) % 34.16/34.46 (step @p60 :rule trans :premises (@p59 @p58)) % 34.16/34.46 (step @p61 :rule cong :premises (@p60) :args ((forall @t172 (=> @t170 @t203)))) % 34.16/34.46 (step @p62 :rule aci_norm :args ((= (or @t192 (or @t191 @t190)) @t193))) % 34.16/34.46 (step @p63 :rule bool-and-de-morgan :args (@t150 @t149 true)) % 34.16/34.46 (step @p64 :rule refl :args (@t192)) % 34.16/34.46 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t192 (not @t151)))) % 34.16/34.46 (step @p66 :rule bool-and-de-morgan :args (@t152 @t150 (and @t149))) % 34.16/34.46 (step @p67 :rule trans :premises (@p66 @p65)) % 34.16/34.46 (step @p68 :rule trans :premises (@p67 @p62)) % 34.16/34.46 (step @p69 :rule cong :premises (@p68) :args (@t204)) % 34.16/34.46 (step @p70 :rule cong :premises (@p69) :args (@t205)) % 34.16/34.46 (step @p71 :rule exists-elim :args ((= @t155 @t205))) % 34.16/34.46 (step @p72 :rule trans :premises (@p71 @p70)) % 34.16/34.46 (step @p73 :rule aci_norm :args ((= (or @t197 (or @t196 @t195)) @t198))) % 34.16/34.46 (step @p74 :rule bool-and-de-morgan :args (@t160 @t158 true)) % 34.16/34.46 (step @p75 :rule refl :args (@t197)) % 34.16/34.46 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t197 (not (and @t160 @t158))))) % 34.16/34.46 (step @p77 :rule bool-and-de-morgan :args (@t162 @t160 (and @t158))) % 34.16/34.46 (step @p78 :rule trans :premises (@p77 @p76)) % 34.16/34.46 (step @p79 :rule trans :premises (@p78 @p73)) % 34.16/34.46 (step @p80 :rule cong :premises (@p79) :args (@t206)) % 34.16/34.46 (step @p81 :rule cong :premises (@p80) :args (@t207)) % 34.16/34.46 (step @p82 :rule exists-elim :args ((= @t165 @t207))) % 34.16/34.46 (step @p83 :rule trans :premises (@p82 @p81)) % 34.16/34.46 (step @p84 :rule bool-and-de-morgan :args (@t166 @t143 true)) % 34.16/34.46 (step @p85 :rule cong :premises (@p84) :args (@t208)) % 34.16/34.46 (step @p86 :rule cong :premises (@p85) :args (@t209)) % 34.16/34.46 (step @p87 :rule exists-elim :args ((= @t168 @t209))) % 34.16/34.46 (step @p88 :rule trans :premises (@p87 @p86)) % 34.16/34.46 (step @p89 :rule nary_cong :premises (@p88 @p83 @p72) :args (@t169)) % 34.16/34.46 (step @p90 :rule refl :args (@t170)) % 34.16/34.46 (step @p91 :rule cong :premises (@p90 @p89) :args (@t171)) % 34.16/34.46 (step @p92 :rule cong :premises (@p91) :args (@t173)) % 34.16/34.46 (step @p93 :rule trans :premises (@p92 @p61)) % 34.16/34.46 (step @p94 :rule eq_resolve :premises (@p54 @p93)) % 34.16/34.46 (step @p95 :rule refl :args (@t216)) % 34.16/34.46 (step @p96 :rule refl :args (@t218)) % 34.16/34.46 (step @p97 :rule eq-symm :args (@t221 @t36)) % 34.16/34.46 (step @p98 :rule cong :premises (@p97) :args (@t222)) % 34.16/34.46 (step @p99 :rule nary_cong :premises (@p98 @p96 @p95) :args (@t223)) % 34.16/34.46 (step @p100 :rule cong :premises (@p99) :args (@t224)) % 34.16/34.46 (step @p101 :rule cong :premises (@p100) :args (@t225)) % 34.16/34.46 (step @p102 :rule refl :args (@t226)) % 34.16/34.46 (step @p103 :rule eq-symm :args (@t217 @t159)) % 34.16/34.46 (step @p104 :rule cong :premises (@p103) :args (@t227)) % 34.16/34.46 (step @p105 :rule eq-symm :args (@t221 @t161)) % 34.16/34.46 (step @p106 :rule cong :premises (@p105) :args (@t228)) % 34.16/34.46 (step @p107 :rule nary_cong :premises (@p106 @p104 @p102) :args (@t229)) % 34.16/34.46 (step @p108 :rule cong :premises (@p107) :args (@t230)) % 34.16/34.46 (step @p109 :rule cong :premises (@p108) :args (@t231)) % 34.16/34.46 (step @p110 :rule refl :args (@t233)) % 34.16/34.46 (step @p111 :rule eq-symm :args (@t221 @t32)) % 34.16/34.46 (step @p112 :rule cong :premises (@p111) :args (@t234)) % 34.16/34.46 (step @p113 :rule nary_cong :premises (@p112 @p110) :args (@t235)) % 34.16/34.46 (step @p114 :rule cong :premises (@p113) :args (@t236)) % 34.16/34.46 (step @p115 :rule cong :premises (@p114) :args (@t237)) % 34.16/34.46 (step @p116 :rule refl :args (@t239)) % 34.16/34.46 (step @p117 :rule nary_cong :premises (@p116 @p115 @p109 @p101) :args (@t240)) % 34.16/34.46 (step @p118 :rule refl :args (@t241)) % 34.16/34.46 (step @p119 :rule cong :premises (@p118 @p117) :args ((=> @t241 @t240))) % 34.16/34.46 (assume-push @p618 @t241) % 34.16/34.46 (step @p121 :rule instantiate :premises (@p94) :args ((@list @t221 @t217 @t215))) % 34.16/34.46 (step-pop @p619 :rule scope :premises (@p121)) % 34.16/34.46 (step @p122 :rule process_scope :premises (@p619) :args (@t240)) % 34.16/34.46 (step @p124 :rule eq_resolve :premises (@p122 @p119)) % 34.16/34.46 (step @p125 :rule implies_elim :premises (@p124)) % 34.16/34.46 (step @p126 :rule chain_m_resolution :premises (@p125 @p94) :args (@t248 @t249 (@list @t241))) % 34.16/34.46 (step @p127 :rule bool-double-not-elim :args (@t254)) % 34.16/34.46 (step @p128 :rule refl :args (@t263)) % 34.16/34.46 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or @t263 (not @t262)))) % 34.16/34.46 (step @p130 :rule cnf_or_neg :args (@t263 0)) % 34.16/34.46 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 34.16/34.46 (step @p132 :rule reordering :premises (@p131) :args ((or @t254 @t263))) % 34.16/34.46 (step @p133 :rule bool-double-not-elim :args (@t260)) % 34.16/34.46 (step @p134 :rule nary_cong :premises (@p128 @p133) :args ((or @t263 (not @t261)))) % 34.16/34.46 (step @p135 :rule cnf_or_neg :args (@t263 1)) % 34.16/34.46 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 34.16/34.46 (step @p137 :rule reordering :premises (@p136) :args ((or @t260 @t263))) % 34.16/34.46 (step @p138 :rule bool-double-not-elim :args (@t257)) % 34.16/34.46 (step @p139 :rule nary_cong :premises (@p128 @p138) :args ((or @t263 (not @t258)))) % 34.16/34.46 (step @p140 :rule cnf_or_neg :args (@t263 2)) % 34.16/34.46 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 34.16/34.46 (step @p142 :rule reordering :premises (@p141) :args ((or @t257 @t263))) % 34.16/34.46 (step @p143 :rule aci_norm :args ((= (and @t270 true) @t270))) % 34.16/34.46 (step @p144 :rule quant-unused-vars :args ((= (forall @t274 true) true))) % 34.16/34.46 (step @p145 :rule evaluate :args ((or false true))) % 34.16/34.46 (step @p146 :rule eq-refl :args (@t275)) % 34.16/34.46 (step @p147 :rule evaluate :args ((not true))) % 34.16/34.46 (step @p148 :rule eq-refl :args (@t271)) % 34.16/34.46 (step @p149 :rule cong :premises (@p148) :args (@t276)) % 34.16/34.46 (step @p150 :rule trans :premises (@p149 @p147)) % 34.16/34.46 (step @p151 :rule nary_cong :premises (@p150 @p146) :args (@t277)) % 34.16/34.46 (step @p152 :rule trans :premises (@p151 @p145)) % 34.16/34.46 (step @p153 :rule cong :premises (@p152) :args ((forall @t274 @t277))) % 34.16/34.46 (step @p154 :rule trans :premises (@p153 @p144)) % 34.16/34.46 (step @p155 :rule quant-var-elim-eq :args ((= (forall @t282 @t281) @t277))) % 34.16/34.46 (step @p156 :rule aci_norm :args ((= @t283 @t281))) % 34.16/34.46 (step @p157 :rule cong :premises (@p156) :args (@t284)) % 34.16/34.46 (step @p158 :rule trans :premises (@p157 @p155)) % 34.16/34.46 (step @p159 :rule cong :premises (@p158) :args (@t285)) % 34.16/34.46 (step @p160 :rule quant-merge-prenex :args ((= @t285 @t286))) % 34.16/34.46 (step @p161 :rule symm :premises (@p160)) % 34.16/34.46 (step @p162 :rule quant_var_reordering :args ((= (forall @t287 @t283) @t286))) % 34.16/34.46 (step @p163 :rule trans :premises (@p162 @p161 @p159)) % 34.16/34.46 (step @p164 :rule trans :premises (@p163 @p154)) % 34.16/34.46 (step @p165 :rule aci_norm :args ((= (or false @t280 @t279) @t283))) % 34.16/34.46 (step @p166 :rule refl :args (@t279)) % 34.16/34.46 (step @p167 :rule refl :args (@t280)) % 34.16/34.46 (step @p168 :rule eq-refl :args (@t272)) % 34.16/34.46 (step @p169 :rule cong :premises (@p168) :args (@t288)) % 34.16/34.46 (step @p170 :rule trans :premises (@p169 @p147)) % 34.16/34.46 (step @p171 :rule nary_cong :premises (@p170 @p167 @p166) :args (@t289)) % 34.16/34.46 (step @p172 :rule trans :premises (@p171 @p165)) % 34.16/34.46 (step @p173 :rule cong :premises (@p172) :args ((forall @t287 @t289))) % 34.16/34.46 (step @p174 :rule trans :premises (@p173 @p164)) % 34.16/34.46 (step @p175 :rule quant-var-elim-eq :args ((= (forall @t295 @t294) @t289))) % 34.16/34.46 (step @p176 :rule aci_norm :args ((= @t296 @t294))) % 34.16/34.46 (step @p177 :rule cong :premises (@p176) :args (@t297)) % 34.16/34.46 (step @p178 :rule trans :premises (@p177 @p175)) % 34.16/34.46 (step @p179 :rule cong :premises (@p178) :args (@t298)) % 34.16/34.46 (step @p180 :rule quant-merge-prenex :args ((= @t298 @t299))) % 34.16/34.46 (step @p181 :rule symm :premises (@p180)) % 34.16/34.46 (step @p182 :rule quant_var_reordering :args ((= (forall @t300 @t296) @t299))) % 34.16/34.46 (step @p183 :rule trans :premises (@p182 @p181 @p179)) % 34.16/34.46 (step @p184 :rule trans :premises (@p183 @p174)) % 34.16/34.46 (step @p185 :rule aci_norm :args ((= (or false @t293 @t280 @t292) @t296))) % 34.16/34.46 (step @p186 :rule eq-symm :args (@t291 @t275)) % 34.16/34.46 (step @p187 :rule refl :args (@t293)) % 34.16/34.46 (step @p188 :rule eq-refl :args (@t273)) % 34.16/34.46 (step @p189 :rule cong :premises (@p188) :args (@t301)) % 34.16/34.46 (step @p190 :rule trans :premises (@p189 @p147)) % 34.16/34.46 (step @p191 :rule nary_cong :premises (@p190 @p187 @p167 @p186) :args (@t302)) % 34.16/34.46 (step @p192 :rule trans :premises (@p191 @p185)) % 34.16/34.46 (step @p193 :rule cong :premises (@p192) :args ((forall @t300 @t302))) % 34.16/34.46 (step @p194 :rule trans :premises (@p193 @p184)) % 34.16/34.46 (step @p195 :rule quant-var-elim-eq :args ((= (forall @t307 @t306) @t302))) % 34.16/34.46 (step @p196 :rule aci_norm :args ((= @t308 @t306))) % 34.16/34.46 (step @p197 :rule cong :premises (@p196) :args (@t309)) % 34.16/34.46 (step @p198 :rule trans :premises (@p197 @p195)) % 34.16/34.46 (step @p199 :rule cong :premises (@p198) :args (@t310)) % 34.16/34.46 (step @p200 :rule quant-merge-prenex :args ((= @t310 @t311))) % 34.16/34.46 (step @p201 :rule symm :premises (@p200)) % 34.16/34.46 (step @p202 :rule quant_var_reordering :args ((= @t312 @t311))) % 34.16/34.46 (step @p203 :rule trans :premises (@p202 @p201 @p199)) % 34.16/34.46 (step @p204 :rule trans :premises (@p203 @p194)) % 34.16/34.46 (step @p205 :rule refl :args (@t270)) % 34.16/34.46 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((and @t270 @t312))) % 34.16/34.46 (step @p207 :rule trans :premises (@p206 @p143)) % 34.16/34.46 (step @p208 :rule alpha_equiv :args (@t317 @t318 (@list @t303 @t290 @t278 @t273 @t272 @t271))) % 34.16/34.46 (step @p209 :rule alpha_equiv :args (@t320 @t318 (@list @t269 @t267 @t265 @t268 @t266 @t264))) % 34.16/34.46 (step @p210 :rule nary_cong :premises (@p209 @p208) :args (@t321)) % 34.16/34.46 (step @p211 :rule quant-miniscope-and :args ((= (forall @t16 (and @t319 @t316)) @t321))) % 34.16/34.46 (step @p212 :rule trans :premises (@p211 @p210)) % 34.16/34.46 (step @p213 :rule trans :premises (@p212 @p207)) % 34.16/34.46 (step @p214 :rule aci_norm :args ((= (or @t322 @t11) @t316))) % 34.16/34.46 (step @p215 :rule refl :args (@t11)) % 34.16/34.46 (step @p216 :rule aci_norm :args ((= (or @t315 (or @t314 @t313)) @t322))) % 34.16/34.46 (step @p217 :rule bool-and-de-morgan :args (@t13 @t12 true)) % 34.16/34.46 (step @p218 :rule refl :args (@t315)) % 34.16/34.46 (step @p219 :rule nary_cong :premises (@p218 @p217) :args ((or @t315 (not (and @t13 @t12))))) % 34.16/34.46 (step @p220 :rule bool-and-de-morgan :args (@t5 @t13 (and @t12))) % 34.16/34.46 (step @p221 :rule trans :premises (@p220 @p219)) % 34.16/34.46 (step @p222 :rule trans :premises (@p221 @p216)) % 34.16/34.46 (step @p223 :rule nary_cong :premises (@p222 @p215) :args ((or (not @t14) @t11))) % 34.16/34.46 (step @p224 :rule trans :premises (@p223 @p214)) % 34.16/34.46 (step @p225 :rule bool-impl-elim :args (@t14 @t11)) % 34.16/34.46 (step @p226 :rule trans 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34.16/34.46 (step @p446 :rule aci_norm :args ((= (or @t68 (or @t389 @t74)) @t397))) % 34.16/34.46 (step @p447 :rule bool-impl-elim :args (@t62 @t74)) % 34.16/34.46 (step @p448 :rule refl :args (@t68)) % 34.16/34.46 (step @p449 :rule nary_cong :premises (@p448 @p447) :args ((or @t68 @t75))) % 34.16/34.46 (step @p450 :rule trans :premises (@p449 @p446)) % 34.16/34.46 (step @p451 :rule refl :args (@t75)) % 34.16/34.46 (step @p452 :rule nary_cong :premises (@p245 @p451) :args ((or @t329 @t75))) % 34.16/34.46 (step @p453 :rule bool-impl-elim :args (@t76 @t75)) % 34.16/34.46 (step @p454 :rule trans :premises (@p453 @p452)) % 34.16/34.46 (step @p455 :rule trans :premises (@p454 @p450)) % 34.16/34.46 (step @p456 :rule bool-and-de-morgan :args (@t64 @t71 true)) % 34.16/34.46 (step @p457 :rule nary_cong :premises (@p456 @p455) :args ((or (not @t72) @t77))) % 34.16/34.46 (step @p458 :rule trans :premises (@p457 @p445)) % 34.16/34.46 (step @p459 :rule bool-impl-elim :args (@t72 @t77)) % 34.16/34.46 (step @p460 :rule trans :premises (@p459 @p458)) % 34.16/34.46 (step @p461 :rule cong :premises (@p460) :args (@t79)) % 34.16/34.46 (step @p462 :rule trans :premises (@p461 @p444)) % 34.16/34.46 (step @p463 :rule eq_resolve :premises (@p24 @p462)) % 34.16/34.46 (step @p464 :rule instantiate :premises (@p463) :args ((@list @t251 @t252 @t333 @t215))) % 34.16/34.46 (step @p465 :rule cnf_or_pos :args (@t400)) % 34.16/34.46 (step @p466 :rule reordering :premises (@p465) :args ((or @t358 @t399 (not @t400)))) % 34.16/34.46 (step @p467 :rule aci_norm :args ((= (or (or @t212 @t401) @t174) (or @t212 @t401 @t174)))) % 34.16/34.46 (step @p468 :rule refl :args (@t174)) % 34.16/34.46 (step @p469 :rule bool-and-de-morgan :args (@t211 @t175 true)) % 34.16/34.46 (step @p470 :rule nary_cong :premises (@p469 @p468) :args ((or (not @t402) @t174))) % 34.16/34.46 (step @p471 :rule trans :premises (@p470 @p467)) % 34.16/34.46 (step @p472 :rule bool-impl-elim :args (@t402 @t174)) % 34.16/34.46 (step @p473 :rule trans :premises (@p472 @p471)) % 34.16/34.46 (step @p474 :rule cong :premises (@p473) :args ((forall @t179 (=> @t402 @t174)))) % 34.16/34.46 (step @p475 :rule refl :args (@t174)) % 34.16/34.46 (step @p476 :rule refl :args (@t175)) % 34.16/34.46 (step @p477 :rule nary_cong :premises (@p262 @p476) :args (@t177)) % 34.16/34.46 (step @p478 :rule cong :premises (@p477 @p475) :args (@t178)) % 34.16/34.46 (step @p479 :rule cong :premises (@p478) :args (@t180)) % 34.16/34.46 (step @p480 :rule trans :premises (@p479 @p474)) % 34.16/34.46 (step @p481 :rule eq_resolve :premises (@p55 @p480)) % 34.16/34.46 (step @p482 :rule instantiate :premises (@p481) :args ((@list @t333 @t332 @t354 @t255))) % 34.16/34.46 (step @p483 :rule cnf_or_pos :args (@t406)) % 34.16/34.46 (step @p484 :rule reordering :premises (@p483) :args ((or @t355 @t405 @t403 (not @t406)))) % 34.16/34.46 (step @p485 :rule bool-double-not-elim :args (@t337)) % 34.16/34.46 (step @p486 :rule refl :args (@t340)) % 34.16/34.46 (step @p487 :rule nary_cong :premises (@p486 @p485) :args ((or @t340 (not @t338)))) % 34.16/34.46 (step @p488 :rule cnf_or_neg :args (@t340 1)) % 34.16/34.46 (step @p489 :rule eq_resolve :premises (@p488 @p487)) % 34.16/34.46 (step @p490 :rule reordering :premises (@p489) :args ((or @t337 @t340))) % 34.16/34.46 (step @p491 :rule chain_m_resolution :premises (@p490 @p270) :args (@t337 @t342 @t343)) % 34.16/34.46 (assume-push @p656 @t337) % 34.16/34.46 (assume-push @p657 @t325) % 34.16/34.46 (assume-push @p658 @t324) % 34.16/34.46 (assume-push @p659 @t399) % 34.16/34.46 (assume-push @p660 @t325) % 34.16/34.46 (assume-push @p661 @t324) % 34.16/34.46 (assume-push @p662 @t399) % 34.16/34.46 (assume-push @p663 @t337) % 34.16/34.46 (step @p366 :rule refl :args (@t215)) % 34.16/34.46 (step @p500 :rule symm :premises (@p658)) % 34.16/34.46 (step @p501 :rule symm :premises (@p657)) % 34.16/34.46 (step @p502 :rule cong :premises (@p501 @p500 @p366) :args (@t256)) % 34.16/34.46 (step @p341 :rule refl :args (@t333)) % 34.16/34.46 (step @p503 :rule cong :premises (@p341 @p502) :args (@t398)) % 34.16/34.46 (step @p504 :rule trans :premises (@p491 @p659 @p503)) % 34.16/34.46 (step-pop @p664 :rule scope :premises (@p504)) % 34.16/34.46 (step-pop @p665 :rule scope :premises (@p664)) % 34.16/34.46 (step-pop @p666 :rule scope :premises (@p665)) % 34.16/34.46 (step-pop @p667 :rule scope :premises (@p666)) % 34.16/34.46 (step @p505 :rule process_scope :premises (@p667) :args (@t404)) % 34.16/34.46 (step @p510 :rule and_intro :premises (@p657 @p658 @p659 @p491)) % 34.16/34.46 (step @p511 :rule modus_ponens :premises (@p510 @p505)) % 34.16/34.46 (step-pop @p668 :rule scope :premises (@p511)) % 34.16/34.46 (step-pop @p669 :rule scope :premises (@p668)) % 34.16/34.46 (step-pop @p670 :rule scope :premises (@p669)) % 34.16/34.46 (step-pop @p671 :rule scope :premises (@p670)) % 34.16/34.46 (step @p512 :rule process_scope :premises (@p671) :args (@t404)) % 34.16/34.46 (step @p517 :rule implies_elim :premises (@p512)) % 34.16/34.46 (step @p518 :rule cnf_and_neg :args (@t407)) % 34.16/34.46 (step @p519 :rule resolution :premises (@p518 @p517) :args (true @t407)) % 34.16/34.46 (step @p520 :rule reordering :premises (@p519) :args ((or @t338 @t360 @t347 @t404 (not @t399)))) % 34.16/34.46 (step @p521 :rule chain_m_resolution :premises (@p520 @p491 @p484 @p482 @p466 @p464 @p385 @p356 @p315 @p330 @p328 @p315 @p313 @p311 @p307 @p272 @p240 @p238 @p236 @p234 @p232 @p142 @p137 @p132) :args (@t263 (@list false true false false false false true true true false true true false true true false false false false false false false false) (@list @t337 @t404 @t406 @t399 @t400 @t362 @t358 @t339 @t355 @t357 @t339 @t349 @t351 @t345 @t335 @t323 @t324 @t325 @t326 @t327 @t257 @t260 @t254))) % 34.16/34.46 (step @p522 :rule refl :args (@t408)) % 34.16/34.46 (step @p523 :rule bool-double-not-elim :args (@t244)) % 34.16/34.46 (step @p524 :rule nary_cong :premises (@p523 @p522) :args ((or (not @t245) @t408))) % 34.16/34.46 (step @p525 :rule refl :args (@t258)) % 34.16/34.46 (step @p526 :rule eq-symm :args (@t259 @t217)) % 34.16/34.46 (step @p527 :rule cong :premises (@p526) :args (@t409)) % 34.16/34.46 (step @p528 :rule eq-symm :args (@t253 @t221)) % 34.16/34.46 (step @p529 :rule cong :premises (@p528) :args (@t410)) % 34.16/34.46 (step @p530 :rule nary_cong :premises (@p529 @p527 @p525) :args (@t411)) % 34.16/34.46 (step @p531 :rule cong :premises (@p530) :args (@t412)) % 34.16/34.46 (step @p532 :rule refl :args (@t245)) % 34.16/34.46 (step @p533 :rule cong :premises (@p532 @p531) :args ((=> @t245 @t412))) % 34.16/34.46 (assume-push @p672 @t245) % 34.16/34.46 (step @p535 :rule skolemize :premises (@p672)) % 34.16/34.46 (step-pop @p673 :rule scope :premises (@p535)) % 34.16/34.46 (step @p536 :rule process_scope :premises (@p673) :args (@t412)) % 34.16/34.46 (step @p538 :rule eq_resolve :premises (@p536 @p533)) % 34.16/34.46 (step @p539 :rule implies_elim :premises (@p538)) % 34.16/34.46 (step @p540 :rule eq_resolve :premises (@p539 @p524)) % 34.16/34.46 (step @p541 :rule chain_m_resolution :premises (@p540 @p521) :args (@t244 @t249 (@list @t263))) % 34.16/34.46 (step @p542 :rule eq-symm :args (@t414 @t221)) % 34.16/34.46 (step @p543 :rule cong :premises (@p542) :args (@t415)) % 34.16/34.46 (step @p544 :rule refl :args (@t23)) % 34.16/34.46 (step @p545 :rule cong :premises (@p544 @p543) :args ((=> @t23 @t415))) % 34.16/34.46 (assume-push @p674 @t23) % 34.16/34.46 (step @p547 :rule instantiate :premises (@p4) :args ((@list @t413 @t220 @t219 tptp.veabs))) % 34.16/34.46 (step-pop @p675 :rule scope :premises (@p547)) % 34.16/34.46 (step @p548 :rule process_scope :premises (@p675) :args (@t415)) % 34.16/34.46 (step @p550 :rule eq_resolve :premises (@p548 @p545)) % 34.16/34.46 (step @p551 :rule implies_elim :premises (@p550)) % 34.16/34.46 (step @p552 :rule chain_m_resolution :premises (@p551 @p4) :args (@t417 @t249 (@list @t23))) % 34.16/34.46 (step @p553 :rule bool-double-not-elim :args (@t416)) % 34.16/34.46 (step @p554 :rule refl :args (@t419)) % 34.16/34.46 (step @p555 :rule nary_cong :premises (@p554 @p553) :args ((or @t419 (not @t417)))) % 34.16/34.46 (step @p556 :rule cnf_or_neg :args (@t419 0)) % 34.16/34.46 (step @p557 :rule eq_resolve :premises (@p556 @p555)) % 34.16/34.46 (step @p558 :rule reordering :premises (@p557) :args ((or @t416 @t419))) % 34.16/34.46 (step @p559 :rule chain_m_resolution :premises (@p558 @p552) :args (@t419 @t342 (@list @t416))) % 34.16/34.46 (step @p560 :rule refl :args (@t420)) % 34.16/34.46 (step @p561 :rule bool-double-not-elim :args (@t246)) % 34.16/34.46 (step @p562 :rule nary_cong :premises (@p561 @p560) :args ((or (not @t247) @t420))) % 34.16/34.46 (step @p563 :rule eq-symm :args (@t418 @t232)) % 34.16/34.46 (step @p564 :rule cong :premises (@p563) :args (@t421)) % 34.16/34.46 (step @p565 :rule nary_cong :premises (@p543 @p564) :args (@t422)) % 34.16/34.46 (step @p566 :rule cong :premises (@p565) :args (@t423)) % 34.16/34.46 (step @p567 :rule refl :args (@t247)) % 34.16/34.46 (step @p568 :rule cong :premises (@p567 @p566) :args ((=> @t247 @t423))) % 34.16/34.46 (assume-push @p676 @t247) % 34.16/34.46 (step @p570 :rule skolemize :premises (@p676)) % 34.16/34.46 (step-pop @p677 :rule scope :premises (@p570)) % 34.16/34.46 (step @p571 :rule process_scope :premises (@p677) :args (@t423)) % 34.16/34.46 (step @p573 :rule eq_resolve :premises (@p571 @p568)) % 34.16/34.46 (step @p574 :rule implies_elim :premises (@p573)) % 34.16/34.46 (step @p575 :rule eq_resolve :premises (@p574 @p562)) % 34.16/34.46 (step @p576 :rule chain_m_resolution :premises (@p575 @p559) :args (@t246 @t249 (@list @t419))) % 34.16/34.46 (step @p577 :rule bool-double-not-elim :args (@t238)) % 34.16/34.46 (step @p578 :rule nary_cong :premises (@p486 @p577) :args ((or @t340 (not @t239)))) % 34.16/34.46 (step @p579 :rule cnf_or_neg :args (@t340 2)) % 34.16/34.46 (step @p580 :rule eq_resolve :premises (@p579 @p578)) % 34.16/34.46 (step @p581 :rule reordering :premises (@p580) :args ((or @t238 @t340))) % 34.16/34.46 (step @p582 :rule chain_m_resolution :premises (@p581 @p270) :args (@t238 @t342 @t343)) % 34.16/34.46 (step @p583 :rule cnf_or_pos :args (@t248)) % 34.16/34.46 (step @p584 :rule reordering :premises (@p583) :args ((or @t239 @t247 @t245 @t243 (not @t248)))) % 34.16/34.46 (step @p585 :rule chain_m_resolution :premises (@p584 @p582 @p576 @p541 @p126) :args (@t243 (@list false false false false) (@list @t238 @t246 @t244 @t248))) % 34.16/34.46 (step @p586 :rule refl :args (@t433)) % 34.16/34.46 (step @p587 :rule bool-double-not-elim :args (@t242)) % 34.16/34.46 (step @p588 :rule nary_cong :premises (@p587 @p586) :args ((or (not @t243) @t433))) % 34.16/34.46 (step @p589 :rule refl :args (@t426)) % 34.16/34.46 (step @p590 :rule refl :args (@t428)) % 34.16/34.46 (step @p591 :rule eq-symm :args (@t429 @t221)) % 34.16/34.46 (step @p592 :rule cong :premises (@p591) :args (@t434)) % 34.16/34.46 (step @p593 :rule nary_cong :premises (@p592 @p590 @p589) :args (@t435)) % 34.16/34.46 (step @p594 :rule cong :premises (@p593) :args (@t436)) % 34.16/34.46 (step @p595 :rule refl :args (@t243)) % 34.16/34.46 (step @p596 :rule cong :premises (@p595 @p594) :args ((=> @t243 @t436))) % 34.16/34.46 (assume-push @p678 @t243) % 34.16/34.46 (step @p598 :rule skolemize :premises (@p678)) % 34.16/34.46 (step-pop @p679 :rule scope :premises (@p598)) % 34.16/34.46 (step @p599 :rule process_scope :premises (@p679) :args (@t436)) % 34.16/34.46 (step @p601 :rule eq_resolve :premises (@p599 @p596)) % 34.16/34.46 (step @p602 :rule implies_elim :premises (@p601)) % 34.16/34.46 (step @p603 :rule eq_resolve :premises (@p602 @p588)) % 34.16/34.46 (step @p604 :rule chain_m_resolution :premises (@p603 @p585) :args (@t433 @t342 (@list @t242))) % 34.16/34.46 (step @p605 :rule bool-double-not-elim :args (@t430)) % 34.16/34.46 (step @p606 :rule refl :args (@t432)) % 34.16/34.46 (step @p607 :rule nary_cong :premises (@p606 @p605) :args ((or @t432 (not @t431)))) % 34.16/34.46 (step @p608 :rule cnf_or_neg :args (@t432 0)) % 34.16/34.46 (step @p609 :rule eq_resolve :premises (@p608 @p607)) % 34.16/34.46 (step @p610 :rule reordering :premises (@p609) :args ((or @t430 @t432))) % 34.16/34.46 (step @p611 :rule chain_m_resolution :premises (@p610 @p604) :args (@t430 @t342 (@list @t432))) % 34.16/34.46 (assume-push @p680 @t24) % 34.16/34.46 (step @p613 :rule instantiate :premises (@p6) :args ((@list @t220 @t219 tptp.veabs @t427 @t425))) % 34.16/34.46 (step-pop @p681 :rule scope :premises (@p613)) % 34.16/34.46 (step @p614 :rule process_scope :premises (@p681) :args (@t431)) % 34.16/34.46 (step @p616 :rule implies_elim :premises (@p614)) % 34.16/34.46 (step @p617 false :rule chain_m_resolution :premises (@p616 @p611 @p6) :args (false (@list false false) (@list @t430 @t24))) % 34.16/34.46 ) % 34.16/34.46 % SZS output end Proof % 34.16/34.46 % cvc5 exiting %------------------------------------------------------------------------------