%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM135+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 : n013.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 0.37s 0.99s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM135+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 % 0.16/0.34 % Computer : n013.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 % 0.16/0.34 % DateTime : Mon Jun 1 20:30:30 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.99 % SZS status Theorem % 0.37/0.99 % SZS output start Proof % 0.37/0.99 ( % 0.37/0.99 (declare-sort $$unsorted 0) % 0.37/0.99 (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.vgetSomeExp (-> $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.vsomeExp (-> $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.vnoExp $$unsorted) % 0.37/0.99 (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.vgensym (-> $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.visValue (-> $$unsorted Bool)) % 0.37/0.99 (declare-const tptp.vempty $$unsorted) % 0.37/0.99 (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.vnoType $$unsorted) % 0.37/0.99 (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool)) % 0.37/0.99 (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.99 (declare-const tptp.vsomeType (-> $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.visSomeExp (-> $$unsorted Bool)) % 0.37/1.00 (declare-const tptp.vvar (-> $$unsorted $$unsorted)) % 0.37/1.00 (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted)) % 0.37/1.00 (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/1.00 (declare-const tptp.visSomeType (-> $$unsorted Bool)) % 0.37/1.00 (declare-const tptp.vreduce (-> $$unsorted $$unsorted)) % 0.37/1.00 (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted)) % 0.37/1.00 (define @t1 () (@var "VVar1" $$unsorted)) % 0.37/1.00 (define @t2 () (@var "VVar0" $$unsorted)) % 0.37/1.00 (define @t3 () (tptp.vvar @t2)) % 0.37/1.00 (define @t4 () (= @t3 (tptp.vvar @t1))) % 0.37/1.00 (define @t5 () (= @t2 @t1)) % 0.37/1.00 (define @t6 () (and (=> @t4 @t5) (=> @t5 @t4))) % 0.37/1.00 (define @t7 () (@list @t2 @t1)) % 0.37/1.00 (define @t8 () (forall @t7 @t6)) % 0.37/1.00 (define @t9 () (@var "VExp1" $$unsorted)) % 0.37/1.00 (define @t10 () (@var "VTyp1" $$unsorted)) % 0.37/1.00 (define @t11 () (@var "VExp0" $$unsorted)) % 0.37/1.00 (define @t12 () (@var "VTyp0" $$unsorted)) % 0.37/1.00 (define @t13 () (tptp.vabs @t2 @t12 @t11)) % 0.37/1.00 (define @t14 () (= @t13 (tptp.vabs @t1 @t10 @t9))) % 0.37/1.00 (define @t15 () (= @t11 @t9)) % 0.37/1.00 (define @t16 () (= @t12 @t10)) % 0.37/1.00 (define @t17 () (and @t5 @t16 @t15)) % 0.37/1.00 (define @t18 () (@var "VExp3" $$unsorted)) % 0.37/1.00 (define @t19 () (@var "VExp2" $$unsorted)) % 0.37/1.00 (define @t20 () (tptp.vapp @t11 @t9)) % 0.37/1.00 (define @t21 () (= @t20 (tptp.vapp @t19 @t18))) % 0.37/1.00 (define @t22 () (and (= @t11 @t19) (= @t9 @t18))) % 0.37/1.00 (define @t23 () (tptp.visValue @t11)) % 0.37/1.00 (define @t24 () (@var "Ve" $$unsorted)) % 0.37/1.00 (define @t25 () (@var "VS" $$unsorted)) % 0.37/1.00 (define @t26 () (@var "Vx" $$unsorted)) % 0.37/1.00 (define @t27 () (tptp.vabs @t26 @t25 @t24)) % 0.37/1.00 (define @t28 () (= @t11 @t27)) % 0.37/1.00 (define @t29 () (@list @t26 @t25 @t24 @t11)) % 0.37/1.00 (define @t30 () (forall @t29 (=> @t28 @t23))) % 0.37/1.00 (define @t31 () (not @t23)) % 0.37/1.00 (define @t32 () (tptp.vvar @t26)) % 0.37/1.00 (define @t33 () (= @t11 @t32)) % 0.37/1.00 (define @t34 () (@list @t26 @t11)) % 0.37/1.00 (define @t35 () (forall @t34 (=> @t33 @t31))) % 0.37/1.00 (define @t36 () (@var "Ve2" $$unsorted)) % 0.37/1.00 (define @t37 () (@var "Ve1" $$unsorted)) % 0.37/1.00 (define @t38 () (tptp.vapp @t37 @t36)) % 0.37/1.00 (define @t39 () (= @t11 @t38)) % 0.37/1.00 (define @t40 () (@var "Vv" $$unsorted)) % 0.37/1.00 (define @t41 () (= @t26 @t40)) % 0.37/1.00 (define @t42 () (tptp.visFreeVar @t2 @t11)) % 0.37/1.00 (define @t43 () (and (=> @t41 @t42) (=> @t42 @t41))) % 0.37/1.00 (define @t44 () (= @t2 @t40)) % 0.37/1.00 (define @t45 () (and @t44 @t33)) % 0.37/1.00 (define @t46 () (@list @t2 @t11 @t26 @t40)) % 0.37/1.00 (define @t47 () (forall @t46 (=> @t45 @t43))) % 0.37/1.00 (define @t48 () (tptp.visFreeVar @t40 @t24)) % 0.37/1.00 (define @t49 () (not @t41)) % 0.37/1.00 (define @t50 () (and @t49 @t48)) % 0.37/1.00 (define @t51 () (@var "VT" $$unsorted)) % 0.37/1.00 (define @t52 () (or (tptp.visFreeVar @t40 @t37) (tptp.visFreeVar @t40 @t36))) % 0.37/1.00 (define @t53 () (= tptp.vempty tptp.vempty)) % 0.37/1.00 (define @t54 () (@var "VCtx1" $$unsorted)) % 0.37/1.00 (define @t55 () (@var "VCtx0" $$unsorted)) % 0.37/1.00 (define @t56 () (tptp.vbind @t2 @t12 @t55)) % 0.37/1.00 (define @t57 () (= @t56 (tptp.vbind @t1 @t10 @t54))) % 0.37/1.00 (define @t58 () (and @t5 @t16 (= @t55 @t54))) % 0.37/1.00 (define @t59 () (= tptp.vnoType tptp.vnoType)) % 0.37/1.00 (define @t60 () (tptp.vsomeType @t12)) % 0.37/1.00 (define @t61 () (= @t60 (tptp.vsomeType @t10))) % 0.37/1.00 (define @t62 () (@var "VOptTyp0" $$unsorted)) % 0.37/1.00 (define @t63 () (tptp.visSomeType @t62)) % 0.37/1.00 (define @t64 () (@list @t62)) % 0.37/1.00 (define @t65 () (tptp.vsomeType @t24)) % 0.37/1.00 (define @t66 () (= @t62 @t65)) % 0.37/1.00 (define @t67 () (@var "RESULT" $$unsorted)) % 0.37/1.00 (define @t68 () (= @t67 @t24)) % 0.37/1.00 (define @t69 () (= @t67 (tptp.vgetSomeType @t62))) % 0.37/1.00 (define @t70 () (=> @t69 @t68)) % 0.37/1.00 (define @t71 () (=> @t66 @t70)) % 0.37/1.00 (define @t72 () (@list @t62 @t67 @t24)) % 0.37/1.00 (define @t73 () (forall @t72 @t71)) % 0.37/1.00 (define @t74 () (= @t67 tptp.vnoType)) % 0.37/1.00 (define @t75 () (tptp.vlookup @t2 @t55)) % 0.37/1.00 (define @t76 () (= @t67 @t75)) % 0.37/1.00 (define @t77 () (= @t55 tptp.vempty)) % 0.37/1.00 (define @t78 () (= @t2 @t26)) % 0.37/1.00 (define @t79 () (@var "VTy" $$unsorted)) % 0.37/1.00 (define @t80 () (tptp.vsomeType @t79)) % 0.37/1.00 (define @t81 () (= @t67 @t80)) % 0.37/1.00 (define @t82 () (=> @t76 @t81)) % 0.37/1.00 (define @t83 () (@var "Vy" $$unsorted)) % 0.37/1.00 (define @t84 () (= @t26 @t83)) % 0.37/1.00 (define @t85 () (=> @t84 @t82)) % 0.37/1.00 (define @t86 () (@var "VC" $$unsorted)) % 0.37/1.00 (define @t87 () (tptp.vbind @t83 @t79 @t86)) % 0.37/1.00 (define @t88 () (= @t55 @t87)) % 0.37/1.00 (define @t89 () (and @t78 @t88)) % 0.37/1.00 (define @t90 () (@list @t86 @t26 @t83 @t2 @t55 @t67 @t79)) % 0.37/1.00 (define @t91 () (forall @t90 (=> @t89 @t85))) % 0.37/1.00 (define @t92 () (tptp.vlookup @t26 @t86)) % 0.37/1.00 (define @t93 () (= @t67 @t92)) % 0.37/1.00 (define @t94 () (not @t84)) % 0.37/1.00 (define @t95 () (@list @t26)) % 0.37/1.00 (define @t96 () (@var "VTx" $$unsorted)) % 0.37/1.00 (define @t97 () (tptp.vbind @t26 @t96 @t86)) % 0.37/1.00 (define @t98 () (tptp.vtcheck (tptp.vbind @t26 @t96 @t87) @t24 @t51)) % 0.37/1.00 (define @t99 () (@list @t83 @t79 @t26 @t96 @t86 @t24 @t51)) % 0.37/1.00 (define @t100 () (tptp.vsubst @t2 @t11 @t9)) % 0.37/1.00 (define @t101 () (= @t67 @t100)) % 0.37/1.00 (define @t102 () (=> @t101 @t68)) % 0.37/1.00 (define @t103 () (=> @t84 @t102)) % 0.37/1.00 (define @t104 () (tptp.vvar @t83)) % 0.37/1.00 (define @t105 () (= @t9 @t104)) % 0.37/1.00 (define @t106 () (= @t11 @t24)) % 0.37/1.00 (define @t107 () (and @t78 @t106 @t105)) % 0.37/1.00 (define @t108 () (=> @t107 @t103)) % 0.37/1.00 (define @t109 () (@list @t26 @t83 @t2 @t11 @t9 @t67 @t24)) % 0.37/1.00 (define @t110 () (forall @t109 @t108)) % 0.37/1.00 (define @t111 () (= @t67 @t104)) % 0.37/1.00 (define @t112 () (=> @t101 @t111)) % 0.37/1.00 (define @t113 () (=> @t94 @t112)) % 0.37/1.00 (define @t114 () (@list @t24 @t26 @t2 @t11 @t9 @t67 @t83)) % 0.37/1.00 (define @t115 () (forall @t114 (=> @t107 @t113))) % 0.37/1.00 (define @t116 () (tptp.vsubst @t26 @t24 @t37)) % 0.37/1.00 (define @t117 () (= @t67 (tptp.vapp @t116 (tptp.vsubst @t26 @t24 @t36)))) % 0.37/1.00 (define @t118 () (= @t9 @t38)) % 0.37/1.00 (define @t119 () (tptp.vabs @t83 @t51 @t37)) % 0.37/1.00 (define @t120 () (= @t67 @t119)) % 0.37/1.00 (define @t121 () (= @t9 @t119)) % 0.37/1.00 (define @t122 () (and @t78 @t106 @t121)) % 0.37/1.00 (define @t123 () (@var "Vfresh" $$unsorted)) % 0.37/1.00 (define @t124 () (= @t67 (tptp.vsubst @t26 @t24 (tptp.vabs @t123 @t51 (tptp.vsubst @t83 (tptp.vvar @t123) @t37))))) % 0.37/1.00 (define @t125 () (= @t123 (tptp.vgensym (tptp.vapp (tptp.vapp @t24 @t37) @t32)))) % 0.37/1.00 (define @t126 () (tptp.visFreeVar @t83 @t24)) % 0.37/1.00 (define @t127 () (= @t67 (tptp.vabs @t83 @t51 @t116))) % 0.37/1.00 (define @t128 () (not @t126)) % 0.37/1.00 (define @t129 () (@list @t24 @t26 @t83)) % 0.37/1.00 (define @t130 () (= tptp.vnoExp tptp.vnoExp)) % 0.37/1.00 (define @t131 () (tptp.vsomeExp @t11)) % 0.37/1.00 (define @t132 () (= @t131 (tptp.vsomeExp @t9))) % 0.37/1.00 (define @t133 () (@list @t11)) % 0.37/1.00 (define @t134 () (@var "VOptExp0" $$unsorted)) % 0.37/1.00 (define @t135 () (tptp.visSomeExp @t134)) % 0.37/1.00 (define @t136 () (= @t134 (tptp.vsomeExp @t24))) % 0.37/1.00 (define @t137 () (= @t67 tptp.vnoExp)) % 0.37/1.00 (define @t138 () (tptp.vreduce @t11)) % 0.37/1.00 (define @t139 () (= @t67 @t138)) % 0.37/1.00 (define @t140 () (=> @t139 @t137)) % 0.37/1.00 (define @t141 () (@var "Ve2red" $$unsorted)) % 0.37/1.00 (define @t142 () (tptp.vabs @t26 @t25 @t37)) % 0.37/1.00 (define @t143 () (= @t67 (tptp.vsomeExp (tptp.vapp @t142 (tptp.vgetSomeExp @t141))))) % 0.37/1.00 (define @t144 () (tptp.visSomeExp @t141)) % 0.37/1.00 (define @t145 () (= @t141 (tptp.vreduce @t36))) % 0.37/1.00 (define @t146 () (= @t11 (tptp.vapp @t142 @t36))) % 0.37/1.00 (define @t147 () (= @t67 (tptp.vsomeExp (tptp.vsubst @t26 @t36 @t37)))) % 0.37/1.00 (define @t148 () (tptp.visValue @t36)) % 0.37/1.00 (define @t149 () (not @t144)) % 0.37/1.00 (define @t150 () (not @t148)) % 0.37/1.00 (define @t151 () (@var "Ve1red" $$unsorted)) % 0.37/1.00 (define @t152 () (= @t67 (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t151) @t36)))) % 0.37/1.00 (define @t153 () (tptp.visSomeExp @t151)) % 0.37/1.00 (define @t154 () (= @t151 (tptp.vreduce @t37))) % 0.37/1.00 (define @t155 () (@var "VVe10" $$unsorted)) % 0.37/1.00 (define @t156 () (@var "VVS0" $$unsorted)) % 0.37/1.00 (define @t157 () (@var "VVx0" $$unsorted)) % 0.37/1.00 (define @t158 () (forall (@list @t157 @t156 @t155) (not (= @t37 (tptp.vabs @t157 @t156 @t155))))) % 0.37/1.00 (define @t159 () (and @t39 @t158)) % 0.37/1.00 (define @t160 () (not @t153)) % 0.37/1.00 (define @t161 () (@list @t26 @t25 @t24)) % 0.37/1.00 (define @t162 () (@var "VTyp3" $$unsorted)) % 0.37/1.00 (define @t163 () (@var "VTyp2" $$unsorted)) % 0.37/1.00 (define @t164 () (= (tptp.varrow @t12 @t10) (tptp.varrow @t163 @t162))) % 0.37/1.00 (define @t165 () (and (= @t12 @t163) (= @t10 @t162))) % 0.37/1.00 (define @t166 () (= @t92 (tptp.vsomeType @t51))) % 0.37/1.00 (define @t167 () (tptp.varrow @t25 @t51)) % 0.37/1.00 (define @t168 () (tptp.vtcheck (tptp.vbind @t26 @t25 @t86) @t24 @t51)) % 0.37/1.00 (define @t169 () (tptp.vtcheck @t86 @t36 @t25)) % 0.37/1.00 (define @t170 () (tptp.vtcheck @t86 @t37 @t167)) % 0.37/1.00 (define @t171 () (and @t170 @t169)) % 0.37/1.00 (define @t172 () (= @t24 @t38)) % 0.37/1.00 (define @t173 () (and @t172 @t170 @t169)) % 0.37/1.00 (define @t174 () (@list @t37 @t36 @t25)) % 0.37/1.00 (define @t175 () (exists @t174 @t173)) % 0.37/1.00 (define @t176 () (@var "VT2" $$unsorted)) % 0.37/1.00 (define @t177 () (@var "VT1" $$unsorted)) % 0.37/1.00 (define @t178 () (tptp.vtcheck (tptp.vbind @t26 @t177 @t86) @t36 @t176)) % 0.37/1.00 (define @t179 () (tptp.varrow @t177 @t176)) % 0.37/1.00 (define @t180 () (= @t51 @t179)) % 0.37/1.00 (define @t181 () (tptp.vabs @t26 @t177 @t36)) % 0.37/1.00 (define @t182 () (= @t24 @t181)) % 0.37/1.00 (define @t183 () (and @t182 @t180 @t178)) % 0.37/1.00 (define @t184 () (@list @t26 @t36 @t177 @t176)) % 0.37/1.00 (define @t185 () (exists @t184 @t183)) % 0.37/1.00 (define @t186 () (= @t24 @t32)) % 0.37/1.00 (define @t187 () (and @t186 @t166)) % 0.37/1.00 (define @t188 () (exists @t95 @t187)) % 0.37/1.00 (define @t189 () (or @t188 @t185 @t175)) % 0.37/1.00 (define @t190 () (tptp.vtcheck @t86 @t24 @t51)) % 0.37/1.00 (define @t191 () (=> @t190 @t189)) % 0.37/1.00 (define @t192 () (@list @t24 @t51 @t86)) % 0.37/1.00 (define @t193 () (forall @t192 @t191)) % 0.37/1.00 (define @t194 () (@list @t26 @t25 @t86 @t24 @t51)) % 0.37/1.00 (define @t195 () (tptp.visFreeVar @t26 @t24)) % 0.37/1.00 (define @t196 () (not @t195)) % 0.37/1.00 (define @t197 () (and @t196 @t168)) % 0.37/1.00 (define @t198 () (forall @t194 (=> @t197 @t190))) % 0.37/1.00 (define @t199 () (tptp.vsubst @t26 @t24 @t104)) % 0.37/1.00 (define @t200 () (tptp.vtcheck @t86 @t199 @t176)) % 0.37/1.00 (define @t201 () (tptp.vtcheck (tptp.vbind @t26 @t51 @t86) @t104 @t176)) % 0.37/1.00 (define @t202 () (and @t190 @t201)) % 0.37/1.00 (define @t203 () (@list @t51 @t86 @t26 @t24 @t83 @t176)) % 0.37/1.00 (define @t204 () (forall @t203 (=> @t202 @t200))) % 0.37/1.00 (define @t205 () (not @t204)) % 0.37/1.00 (define @t206 () (= @t104 @t199)) % 0.37/1.00 (define @t207 () (not (= @t199 @t199))) % 0.37/1.00 (define @t208 () (or @t84 @t207 (= @t199 @t104))) % 0.37/1.00 (define @t209 () (not (= @t67 @t199))) % 0.37/1.00 (define @t210 () (or @t209 @t84 @t209 @t111)) % 0.37/1.00 (define @t211 () (@list @t67)) % 0.37/1.00 (define @t212 () (or @t84 @t209 @t111)) % 0.37/1.00 (define @t213 () (forall @t211 @t212)) % 0.37/1.00 (define @t214 () (forall @t129 @t213)) % 0.37/1.00 (define @t215 () (forall (@list @t24 @t26 @t83 @t67) @t212)) % 0.37/1.00 (define @t216 () (@list @t24 @t26 @t67 @t83)) % 0.37/1.00 (define @t217 () (not (= @t104 @t104))) % 0.37/1.00 (define @t218 () (or @t217 @t84 @t209 @t111)) % 0.37/1.00 (define @t219 () (not (= @t67 (tptp.vsubst @t26 @t24 @t9)))) % 0.37/1.00 (define @t220 () (not @t105)) % 0.37/1.00 (define @t221 () (or @t220 @t220 @t84 @t219 @t111)) % 0.37/1.00 (define @t222 () (@list @t9)) % 0.37/1.00 (define @t223 () (or @t220 @t84 @t219 @t111)) % 0.37/1.00 (define @t224 () (forall @t222 @t223)) % 0.37/1.00 (define @t225 () (forall @t216 @t224)) % 0.37/1.00 (define @t226 () (forall (@list @t24 @t26 @t67 @t83 @t9) @t223)) % 0.37/1.00 (define @t227 () (@list @t24 @t26 @t9 @t67 @t83)) % 0.37/1.00 (define @t228 () (not (= @t24 @t24))) % 0.37/1.00 (define @t229 () (or @t228 @t220 @t84 @t219 @t111)) % 0.37/1.00 (define @t230 () (not (= @t67 (tptp.vsubst @t26 @t11 @t9)))) % 0.37/1.00 (define @t231 () (not @t106)) % 0.37/1.00 (define @t232 () (or @t231 @t231 @t220 @t84 @t230 @t111)) % 0.37/1.00 (define @t233 () (or @t231 @t220 @t84 @t230 @t111)) % 0.37/1.00 (define @t234 () (forall @t133 @t233)) % 0.37/1.00 (define @t235 () (forall @t227 @t234)) % 0.37/1.00 (define @t236 () (forall (@list @t24 @t26 @t9 @t67 @t83 @t11) @t233)) % 0.37/1.00 (define @t237 () (@list @t24 @t26 @t11 @t9 @t67 @t83)) % 0.37/1.00 (define @t238 () (not (= @t26 @t26))) % 0.37/1.00 (define @t239 () (or @t238 @t231 @t220 @t84 @t230 @t111)) % 0.37/1.00 (define @t240 () (not @t101)) % 0.37/1.00 (define @t241 () (not @t78)) % 0.37/1.00 (define @t242 () (or @t241 @t241 @t231 @t220 @t84 @t240 @t111)) % 0.37/1.00 (define @t243 () (@list @t2)) % 0.37/1.00 (define @t244 () (or @t241 @t231 @t220 @t84 @t240 @t111)) % 0.37/1.00 (define @t245 () (forall @t243 @t244)) % 0.37/1.00 (define @t246 () (forall @t237 @t245)) % 0.37/1.00 (define @t247 () (forall (@list @t24 @t26 @t11 @t9 @t67 @t83 @t2) @t244)) % 0.37/1.00 (define @t248 () (or @t84 @t240 @t111)) % 0.37/1.00 (define @t249 () (or @t241 @t231 @t220)) % 0.37/1.00 (define @t250 () (not @t107)) % 0.37/1.00 (define @t251 () (not @t201)) % 0.37/1.00 (define @t252 () (not @t190)) % 0.37/1.00 (define @t253 () (or @t252 @t251 @t200)) % 0.37/1.00 (define @t254 () (forall @t203 @t253)) % 0.37/1.00 (define @t255 () (@quantifiers_skolemize @t254 4)) % 0.37/1.00 (define @t256 () (@quantifiers_skolemize @t254 2)) % 0.37/1.00 (define @t257 () (@quantifiers_skolemize @t254 3)) % 0.37/1.00 (define @t258 () (tptp.vvar @t255)) % 0.37/1.00 (define @t259 () (tptp.vsubst @t256 @t257 @t258)) % 0.37/1.00 (define @t260 () (= @t258 @t259)) % 0.37/1.00 (define @t261 () (= @t256 @t255)) % 0.37/1.00 (define @t262 () (or @t261 @t260)) % 0.37/1.00 (define @t263 () (@var "BOUND_VARIABLE_8235" $$unsorted)) % 0.37/1.00 (define @t264 () (@var "BOUND_VARIABLE_8233" $$unsorted)) % 0.37/1.00 (define @t265 () (forall (@list @t264 @t263) (or (not (tptp.visFreeVar @t263 (tptp.vvar @t264))) (= @t264 @t263)))) % 0.37/1.00 (define @t266 () (@var "BOUND_VARIABLE_8224" $$unsorted)) % 0.37/1.00 (define @t267 () (tptp.visFreeVar @t266 (tptp.vvar @t266))) % 0.37/1.00 (define @t268 () (not (= @t266 @t266))) % 0.37/1.00 (define @t269 () (or @t268 @t267)) % 0.37/1.00 (define @t270 () (@list @t266)) % 0.37/1.00 (define @t271 () (@var "BOUND_VARIABLE_8222" $$unsorted)) % 0.37/1.00 (define @t272 () (tptp.visFreeVar @t266 (tptp.vvar @t271))) % 0.37/1.00 (define @t273 () (not (= @t271 @t266))) % 0.37/1.00 (define @t274 () (or @t273 @t273 @t272)) % 0.37/1.00 (define @t275 () (@list @t271)) % 0.37/1.00 (define @t276 () (or @t273 @t272)) % 0.37/1.00 (define @t277 () (forall @t275 @t276)) % 0.37/1.00 (define @t278 () (forall @t270 @t277)) % 0.37/1.00 (define @t279 () (forall (@list @t266 @t271) @t276)) % 0.37/1.00 (define @t280 () (forall (@list @t271 @t266) @t276)) % 0.37/1.00 (define @t281 () (tptp.visFreeVar @t40 @t32)) % 0.37/1.00 (define @t282 () (or (not @t281) @t41)) % 0.37/1.00 (define @t283 () (@list @t26 @t40)) % 0.37/1.00 (define @t284 () (forall @t283 @t282)) % 0.37/1.00 (define @t285 () (@list @t26 @t40)) % 0.37/1.00 (define @t286 () (or @t49 @t281)) % 0.37/1.00 (define @t287 () (forall @t283 @t286)) % 0.37/1.00 (define @t288 () (and @t287 @t284)) % 0.37/1.00 (define @t289 () (and @t286 @t282)) % 0.37/1.00 (define @t290 () (not (= @t32 @t32))) % 0.37/1.00 (define @t291 () (or @t290 @t289)) % 0.37/1.00 (define @t292 () (tptp.visFreeVar @t40 @t11)) % 0.37/1.00 (define @t293 () (and (or @t49 @t292) (or (not @t292) @t41))) % 0.37/1.00 (define @t294 () (not @t33)) % 0.37/1.00 (define @t295 () (or @t294 @t294 @t293)) % 0.37/1.00 (define @t296 () (or @t294 @t293)) % 0.37/1.00 (define @t297 () (forall @t133 @t296)) % 0.37/1.00 (define @t298 () (forall @t283 @t297)) % 0.37/1.00 (define @t299 () (forall (@list @t26 @t40 @t11) @t296)) % 0.37/1.00 (define @t300 () (@list @t11 @t26 @t40)) % 0.37/1.00 (define @t301 () (not (= @t40 @t40))) % 0.37/1.00 (define @t302 () (or @t301 @t294 @t293)) % 0.37/1.00 (define @t303 () (and (or @t49 @t42) (or (not @t42) @t41))) % 0.37/1.00 (define @t304 () (not @t44)) % 0.37/1.00 (define @t305 () (or @t304 @t304 @t294 @t303)) % 0.37/1.00 (define @t306 () (or @t304 @t294 @t303)) % 0.37/1.00 (define @t307 () (forall @t243 @t306)) % 0.37/1.00 (define @t308 () (forall @t300 @t307)) % 0.37/1.00 (define @t309 () (forall (@list @t11 @t26 @t40 @t2) @t306)) % 0.37/1.00 (define @t310 () (tptp.visFreeVar @t256 @t258)) % 0.37/1.00 (define @t311 () (not @t310)) % 0.37/1.00 (define @t312 () (or @t311 (= @t255 @t256))) % 0.37/1.00 (define @t313 () (or @t311 @t261)) % 0.37/1.00 (define @t314 () (@list false)) % 0.37/1.00 (define @t315 () (@quantifiers_skolemize @t254 5)) % 0.37/1.00 (define @t316 () (@quantifiers_skolemize @t254 1)) % 0.37/1.00 (define @t317 () (@quantifiers_skolemize @t254 0)) % 0.37/1.00 (define @t318 () (tptp.vbind @t256 @t317 @t316)) % 0.37/1.00 (define @t319 () (tptp.vtcheck @t318 @t258 @t315)) % 0.37/1.00 (define @t320 () (tptp.vtcheck @t316 @t259 @t315)) % 0.37/1.00 (define @t321 () (not @t319)) % 0.37/1.00 (define @t322 () (tptp.vtcheck @t316 @t257 @t317)) % 0.37/1.00 (define @t323 () (not @t322)) % 0.37/1.00 (define @t324 () (or @t323 @t321 @t320)) % 0.37/1.00 (define @t325 () (@list true)) % 0.37/1.00 (define @t326 () (@list @t324)) % 0.37/1.00 (define @t327 () (not @t168)) % 0.37/1.00 (define @t328 () (tptp.vtcheck @t316 @t258 @t315)) % 0.37/1.00 (define @t329 () (or @t310 @t321 @t328)) % 0.37/1.00 (define @t330 () (not @t320)) % 0.37/1.00 (define @t331 () (not @t328)) % 0.37/1.00 (define @t332 () (not @t260)) % 0.37/1.00 (define @t333 () (not @t330)) % 0.37/1.00 (define @t334 () (and @t330 @t260)) % 0.37/1.00 (define @t335 () (@var "BOUND_VARIABLE_7968" $$unsorted)) % 0.37/1.00 (define @t336 () (@var "BOUND_VARIABLE_7966" $$unsorted)) % 0.37/1.00 (define @t337 () (forall (@list @t336 @t335) (or (not (= (tptp.vvar @t336) (tptp.vvar @t335))) (= @t336 @t335)))) % 0.37/1.00 (define @t338 () (@var "BOUND_VARIABLE_7980" $$unsorted)) % 0.37/1.00 (define @t339 () (@list @t338)) % 0.37/1.00 (define @t340 () (tptp.vvar @t338)) % 0.37/1.00 (define @t341 () (not (= @t338 @t338))) % 0.37/1.00 (define @t342 () (or @t341 (= @t340 @t340))) % 0.37/1.00 (define @t343 () (@var "BOUND_VARIABLE_7978" $$unsorted)) % 0.37/1.00 (define @t344 () (= (tptp.vvar @t343) @t340)) % 0.37/1.00 (define @t345 () (not (= @t343 @t338))) % 0.37/1.00 (define @t346 () (or @t345 @t345 @t344)) % 0.37/1.00 (define @t347 () (@list @t343)) % 0.37/1.00 (define @t348 () (or @t345 @t344)) % 0.37/1.00 (define @t349 () (forall @t347 @t348)) % 0.37/1.00 (define @t350 () (forall @t339 @t349)) % 0.37/1.00 (define @t351 () (forall (@list @t338 @t343) @t348)) % 0.37/1.00 (define @t352 () (forall (@list @t343 @t338) @t348)) % 0.37/1.00 (define @t353 () (or (not @t5) @t4)) % 0.37/1.00 (define @t354 () (forall @t7 @t353)) % 0.37/1.00 (define @t355 () (@list @t2 @t1)) % 0.37/1.00 (define @t356 () (or (not @t4) @t5)) % 0.37/1.00 (define @t357 () (forall @t7 @t356)) % 0.37/1.00 (define @t358 () (and @t357 @t354)) % 0.37/1.00 (define @t359 () (tptp.vsomeType @t315)) % 0.37/1.00 (define @t360 () (not (= (tptp.vlookup @t26 @t318) @t359))) % 0.37/1.00 (define @t361 () (forall @t95 (or (not (= @t32 @t258)) @t360))) % 0.37/1.00 (define @t362 () (@quantifiers_skolemize @t361 0)) % 0.37/1.00 (define @t363 () (not @t169)) % 0.37/1.00 (define @t364 () (not @t170)) % 0.37/1.00 (define @t365 () (not @t172)) % 0.37/1.00 (define @t366 () (or @t365 @t364 @t363)) % 0.37/1.00 (define @t367 () (not (forall @t174 @t366))) % 0.37/1.00 (define @t368 () (not @t178)) % 0.37/1.00 (define @t369 () (not @t180)) % 0.37/1.00 (define @t370 () (not @t182)) % 0.37/1.00 (define @t371 () (or @t370 @t369 @t368)) % 0.37/1.00 (define @t372 () (not (forall @t184 @t371))) % 0.37/1.00 (define @t373 () (not (forall @t95 (or (not @t186) (not @t166))))) % 0.37/1.00 (define @t374 () (or @t252 @t373 @t372 @t367)) % 0.37/1.00 (define @t375 () (or @t373 @t372 @t367)) % 0.37/1.00 (define @t376 () (forall @t174 (not @t173))) % 0.37/1.00 (define @t377 () (not @t376)) % 0.37/1.00 (define @t378 () (forall @t184 (not @t183))) % 0.37/1.00 (define @t379 () (not @t378)) % 0.37/1.00 (define @t380 () (forall @t95 (not @t187))) % 0.37/1.00 (define @t381 () (not @t380)) % 0.37/1.00 (define @t382 () (not (tptp.vtcheck @t318 @t36 @t25))) % 0.37/1.00 (define @t383 () (not (tptp.vtcheck @t318 @t37 (tptp.varrow @t25 @t315)))) % 0.37/1.00 (define @t384 () (not (= @t258 @t38))) % 0.37/1.00 (define @t385 () (or @t384 @t383 @t382)) % 0.37/1.00 (define @t386 () (forall @t174 @t385)) % 0.37/1.00 (define @t387 () (not @t386)) % 0.37/1.00 (define @t388 () (not (tptp.vtcheck (tptp.vbind @t26 @t177 @t318) @t36 @t176))) % 0.37/1.00 (define @t389 () (not (= @t315 @t179))) % 0.37/1.00 (define @t390 () (not (= @t258 @t181))) % 0.37/1.00 (define @t391 () (or @t390 @t389 @t388)) % 0.37/1.00 (define @t392 () (forall @t184 @t391)) % 0.37/1.00 (define @t393 () (not @t392)) % 0.37/1.00 (define @t394 () (not (= @t258 @t32))) % 0.37/1.00 (define @t395 () (or @t394 @t360)) % 0.37/1.00 (define @t396 () (forall @t95 @t395)) % 0.37/1.00 (define @t397 () (not @t396)) % 0.37/1.00 (define @t398 () (or @t321 @t397 @t393 @t387)) % 0.37/1.00 (define @t399 () (forall @t192 @t374)) % 0.37/1.00 (define @t400 () (forall @t174 (or (not (= @t38 @t258)) @t383 @t382))) % 0.37/1.00 (define @t401 () (not @t400)) % 0.37/1.00 (define @t402 () (forall @t184 (or (not (= @t181 @t258)) (not (= @t179 @t315)) @t388))) % 0.37/1.00 (define @t403 () (not @t402)) % 0.37/1.00 (define @t404 () (not @t361)) % 0.37/1.00 (define @t405 () (or @t321 @t404 @t403 @t401)) % 0.37/1.00 (define @t406 () (@quantifiers_skolemize @t400 1)) % 0.37/1.00 (define @t407 () (@quantifiers_skolemize @t400 0)) % 0.37/1.00 (define @t408 () (tptp.vapp @t407 @t406)) % 0.37/1.00 (define @t409 () (= @t258 @t408)) % 0.37/1.00 (define @t410 () (@quantifiers_skolemize @t400 2)) % 0.37/1.00 (define @t411 () (not (tptp.vtcheck @t318 @t406 @t410))) % 0.37/1.00 (define @t412 () (not (tptp.vtcheck @t318 @t407 (tptp.varrow @t410 @t315)))) % 0.37/1.00 (define @t413 () (not @t409)) % 0.37/1.00 (define @t414 () (or @t413 @t412 @t411)) % 0.37/1.00 (define @t415 () (not @t414)) % 0.37/1.00 (define @t416 () (not (= @t408 @t258))) % 0.37/1.00 (define @t417 () (or @t416 @t412 @t411)) % 0.37/1.00 (define @t418 () (not @t417)) % 0.37/1.00 (define @t419 () (tptp.visValue @t27)) % 0.37/1.00 (define @t420 () (not (= @t27 @t27))) % 0.37/1.00 (define @t421 () (or @t420 @t419)) % 0.37/1.00 (define @t422 () (not @t28)) % 0.37/1.00 (define @t423 () (or @t422 @t422 @t23)) % 0.37/1.00 (define @t424 () (or @t422 @t23)) % 0.37/1.00 (define @t425 () (forall @t133 @t424)) % 0.37/1.00 (define @t426 () (forall @t161 @t425)) % 0.37/1.00 (define @t427 () (@quantifiers_skolemize @t402 1)) % 0.37/1.00 (define @t428 () (@quantifiers_skolemize @t402 2)) % 0.37/1.00 (define @t429 () (@quantifiers_skolemize @t402 0)) % 0.37/1.00 (define @t430 () (not (tptp.visValue @t32))) % 0.37/1.00 (define @t431 () (or @t290 @t430)) % 0.37/1.00 (define @t432 () (or @t294 @t294 @t31)) % 0.37/1.00 (define @t433 () (or @t294 @t31)) % 0.37/1.00 (define @t434 () (forall @t133 @t433)) % 0.37/1.00 (define @t435 () (forall @t95 @t434)) % 0.37/1.00 (define @t436 () (tptp.vabs @t429 @t428 @t427)) % 0.37/1.00 (define @t437 () (tptp.visValue @t436)) % 0.37/1.00 (define @t438 () (not @t437)) % 0.37/1.00 (define @t439 () (= @t258 @t436)) % 0.37/1.00 (define @t440 () (not @t439)) % 0.37/1.00 (define @t441 () (tptp.visValue @t258)) % 0.37/1.00 (define @t442 () (not @t441)) % 0.37/1.00 (define @t443 () (= true false)) % 0.37/1.00 (define @t444 () (@quantifiers_skolemize @t402 3)) % 0.37/1.00 (define @t445 () (not (tptp.vtcheck (tptp.vbind @t429 @t428 @t318) @t427 @t444))) % 0.37/1.00 (define @t446 () (tptp.varrow @t428 @t444)) % 0.37/1.00 (define @t447 () (or @t440 (not (= @t315 @t446)) @t445)) % 0.37/1.00 (define @t448 () (not @t447)) % 0.37/1.00 (define @t449 () (not (= @t446 @t315))) % 0.37/1.00 (define @t450 () (not (= @t436 @t258))) % 0.37/1.00 (define @t451 () (or @t450 @t449 @t445)) % 0.37/1.00 (define @t452 () (not @t451)) % 0.37/1.00 (define @t453 () (tptp.vlookup @t362 @t318)) % 0.37/1.00 (define @t454 () (= @t359 @t453)) % 0.37/1.00 (define @t455 () (not @t454)) % 0.37/1.00 (define @t456 () (tptp.vvar @t362)) % 0.37/1.00 (define @t457 () (= @t258 @t456)) % 0.37/1.00 (define @t458 () (not @t457)) % 0.37/1.00 (define @t459 () (or @t458 @t455)) % 0.37/1.00 (define @t460 () (not @t459)) % 0.37/1.00 (define @t461 () (not (= @t453 @t359))) % 0.37/1.00 (define @t462 () (not (= @t456 @t258))) % 0.37/1.00 (define @t463 () (or @t462 @t461)) % 0.37/1.00 (define @t464 () (not @t463)) % 0.37/1.00 (define @t465 () (@list @t459)) % 0.37/1.00 (define @t466 () (= @t255 @t362)) % 0.37/1.00 (define @t467 () (or @t458 @t466)) % 0.37/1.00 (define @t468 () (@list false false)) % 0.37/1.00 (define @t469 () (= @t256 @t362)) % 0.37/1.00 (define @t470 () (and @t261 @t466)) % 0.37/1.00 (define @t471 () (not @t261)) % 0.37/1.00 (define @t472 () (tptp.vgetSomeType @t65)) % 0.37/1.00 (define @t473 () (= @t24 @t472)) % 0.37/1.00 (define @t474 () (not (= @t472 @t472))) % 0.37/1.00 (define @t475 () (or @t474 @t473)) % 0.37/1.00 (define @t476 () (@list @t24)) % 0.37/1.00 (define @t477 () (= @t24 @t67)) % 0.37/1.00 (define @t478 () (not (= @t67 @t472))) % 0.37/1.00 (define @t479 () (or @t478 @t478 @t477)) % 0.37/1.00 (define @t480 () (or @t478 @t477)) % 0.37/1.00 (define @t481 () (forall @t211 @t480)) % 0.37/1.00 (define @t482 () (forall @t476 @t481)) % 0.37/1.00 (define @t483 () (forall (@list @t24 @t67) @t480)) % 0.37/1.00 (define @t484 () (@list @t67 @t24)) % 0.37/1.00 (define @t485 () (not (= @t65 @t65))) % 0.37/1.00 (define @t486 () (or @t485 @t478 @t477)) % 0.37/1.00 (define @t487 () (not @t69)) % 0.37/1.00 (define @t488 () (not @t66)) % 0.37/1.00 (define @t489 () (or @t488 @t488 @t487 @t477)) % 0.37/1.00 (define @t490 () (or @t488 @t487 @t477)) % 0.37/1.00 (define @t491 () (forall @t64 @t490)) % 0.37/1.00 (define @t492 () (forall @t484 @t491)) % 0.37/1.00 (define @t493 () (forall (@list @t67 @t24 @t62) @t490)) % 0.37/1.00 (define @t494 () (=> @t69 @t477)) % 0.37/1.00 (define @t495 () (tptp.vlookup @t83 @t87)) % 0.37/1.00 (define @t496 () (= @t80 @t495)) % 0.37/1.00 (define @t497 () (not (= @t495 @t495))) % 0.37/1.00 (define @t498 () (or @t497 (= @t495 @t80))) % 0.37/1.00 (define @t499 () (@list @t86 @t83 @t79)) % 0.37/1.00 (define @t500 () (not (= @t67 @t495))) % 0.37/1.00 (define @t501 () (or @t500 @t500 @t81)) % 0.37/1.00 (define @t502 () (or @t500 @t81)) % 0.37/1.00 (define @t503 () (forall @t211 @t502)) % 0.37/1.00 (define @t504 () (forall @t499 @t503)) % 0.37/1.00 (define @t505 () (forall (@list @t86 @t83 @t79 @t67) @t502)) % 0.37/1.00 (define @t506 () (@list @t86 @t83 @t67 @t79)) % 0.37/1.00 (define @t507 () (not (= @t83 @t83))) % 0.37/1.00 (define @t508 () (or @t507 @t500 @t81)) % 0.37/1.00 (define @t509 () (not (= @t67 (tptp.vlookup @t26 @t87)))) % 0.37/1.00 (define @t510 () (or @t94 @t94 @t509 @t81)) % 0.37/1.00 (define @t511 () (or @t94 @t509 @t81)) % 0.37/1.00 (define @t512 () (forall @t95 @t511)) % 0.37/1.00 (define @t513 () (forall @t506 @t512)) % 0.37/1.00 (define @t514 () (forall (@list @t86 @t83 @t67 @t79 @t26) @t511)) % 0.37/1.00 (define @t515 () (@list @t86 @t26 @t83 @t67 @t79)) % 0.37/1.00 (define @t516 () (not (= @t87 @t87))) % 0.37/1.00 (define @t517 () (or @t516 @t94 @t509 @t81)) % 0.37/1.00 (define @t518 () (not (= @t67 (tptp.vlookup @t26 @t55)))) % 0.37/1.00 (define @t519 () (not @t88)) % 0.37/1.00 (define @t520 () (or @t519 @t519 @t94 @t518 @t81)) % 0.37/1.00 (define @t521 () (@list @t55)) % 0.37/1.00 (define @t522 () (or @t519 @t94 @t518 @t81)) % 0.37/1.00 (define @t523 () (forall @t521 @t522)) % 0.37/1.00 (define @t524 () (forall @t515 @t523)) % 0.37/1.00 (define @t525 () (forall (@list @t86 @t26 @t83 @t67 @t79 @t55) @t522)) % 0.37/1.00 (define @t526 () (@list @t86 @t26 @t83 @t55 @t67 @t79)) % 0.37/1.00 (define @t527 () (or @t238 @t519 @t94 @t518 @t81)) % 0.37/1.00 (define @t528 () (not @t76)) % 0.37/1.00 (define @t529 () (or @t241 @t241 @t519 @t94 @t528 @t81)) % 0.37/1.00 (define @t530 () (or @t241 @t519 @t94 @t528 @t81)) % 0.37/1.00 (define @t531 () (forall @t243 @t530)) % 0.37/1.00 (define @t532 () (forall @t526 @t531)) % 0.37/1.00 (define @t533 () (forall (@list @t86 @t26 @t83 @t55 @t67 @t79 @t2) @t530)) % 0.37/1.00 (define @t534 () (or @t94 @t528 @t81)) % 0.37/1.00 (define @t535 () (not @t469)) % 0.37/1.00 (define @t536 () (= @t315 (tptp.vgetSomeType @t359))) % 0.37/1.00 (define @t537 () (not @t536)) % 0.37/1.00 (define @t538 () (tptp.vsomeType @t317)) % 0.37/1.00 (define @t539 () (tptp.vgetSomeType @t538)) % 0.37/1.00 (define @t540 () (= @t317 @t539)) % 0.37/1.00 (define @t541 () (not @t540)) % 0.37/1.00 (define @t542 () (= @t257 @t259)) % 0.37/1.00 (define @t543 () (not @t542)) % 0.37/1.00 (define @t544 () (tptp.vlookup @t256 @t318)) % 0.37/1.00 (define @t545 () (= @t538 @t544)) % 0.37/1.00 (define @t546 () (not @t545)) % 0.37/1.00 (define @t547 () (and @t330 @t542 @t536 @t454 @t469 @t545 @t540 @t322)) % 0.37/1.00 (define @t548 () (tptp.vsubst @t83 @t24 @t104)) % 0.37/1.00 (define @t549 () (= @t24 @t548)) % 0.37/1.00 (define @t550 () (not (= @t548 @t548))) % 0.37/1.00 (define @t551 () (or @t550 @t549)) % 0.37/1.00 (define @t552 () (@list @t83 @t24)) % 0.37/1.00 (define @t553 () (not (= @t67 @t548))) % 0.37/1.00 (define @t554 () (or @t553 @t553 @t477)) % 0.37/1.00 (define @t555 () (or @t553 @t477)) % 0.37/1.00 (define @t556 () (forall @t211 @t555)) % 0.37/1.00 (define @t557 () (forall @t552 @t556)) % 0.37/1.00 (define @t558 () (forall (@list @t83 @t24 @t67) @t555)) % 0.37/1.00 (define @t559 () (@list @t83 @t67 @t24)) % 0.37/1.00 (define @t560 () (or @t507 @t553 @t477)) % 0.37/1.00 (define @t561 () (or @t94 @t94 @t209 @t477)) % 0.37/1.00 (define @t562 () (or @t94 @t209 @t477)) % 0.37/1.00 (define @t563 () (forall @t95 @t562)) % 0.37/1.00 (define @t564 () (forall @t559 @t563)) % 0.37/1.00 (define @t565 () (forall (@list @t83 @t67 @t24 @t26) @t562)) % 0.37/1.00 (define @t566 () (@list @t26 @t83 @t67 @t24)) % 0.37/1.00 (define @t567 () (or @t217 @t94 @t209 @t477)) % 0.37/1.00 (define @t568 () (or @t220 @t220 @t94 @t219 @t477)) % 0.37/1.00 (define @t569 () (or @t220 @t94 @t219 @t477)) % 0.37/1.00 (define @t570 () (forall @t222 @t569)) % 0.37/1.00 (define @t571 () (forall @t566 @t570)) % 0.37/1.00 (define @t572 () (forall (@list @t26 @t83 @t67 @t24 @t9) @t569)) % 0.37/1.00 (define @t573 () (@list @t26 @t83 @t9 @t67 @t24)) % 0.37/1.00 (define @t574 () (or @t228 @t220 @t94 @t219 @t477)) % 0.37/1.00 (define @t575 () (or @t231 @t231 @t220 @t94 @t230 @t477)) % 0.37/1.00 (define @t576 () (or @t231 @t220 @t94 @t230 @t477)) % 0.37/1.00 (define @t577 () (forall @t133 @t576)) % 0.37/1.00 (define @t578 () (forall @t573 @t577)) % 0.37/1.00 (define @t579 () (forall (@list @t26 @t83 @t9 @t67 @t24 @t11) @t576)) % 0.37/1.00 (define @t580 () (@list @t26 @t83 @t11 @t9 @t67 @t24)) % 0.37/1.00 (define @t581 () (or @t238 @t231 @t220 @t94 @t230 @t477)) % 0.37/1.00 (define @t582 () (or @t241 @t241 @t231 @t220 @t94 @t240 @t477)) % 0.37/1.00 (define @t583 () (or @t241 @t231 @t220 @t94 @t240 @t477)) % 0.37/1.00 (define @t584 () (forall @t243 @t583)) % 0.37/1.00 (define @t585 () (forall @t580 @t584)) % 0.37/1.00 (define @t586 () (forall (@list @t26 @t83 @t11 @t9 @t67 @t24 @t2) @t583)) % 0.37/1.00 (define @t587 () (or @t94 @t240 @t477)) % 0.37/1.00 (define @t588 () (=> @t101 @t477)) % 0.37/1.00 (define @t589 () (=> @t84 @t588)) % 0.37/1.00 (define @t590 () (tptp.vvar @t256)) % 0.37/1.00 (define @t591 () (tptp.vsubst @t256 @t257 @t590)) % 0.37/1.00 (define @t592 () (= @t257 @t591)) % 0.37/1.00 (define @t593 () (not @t592)) % 0.37/1.00 (define @t594 () (and @t592 @t593)) % 0.37/1.00 (assume @p1 @t8) % 0.37/1.00 (assume @p2 (forall (@list @t2 @t12 @t11 @t1 @t10 @t9) (and (=> @t14 @t17) (=> @t17 @t14)))) % 0.37/1.00 (assume @p3 (forall (@list @t11 @t9 @t19 @t18) (and (=> @t21 @t22) (=> @t22 @t21)))) % 0.37/1.00 (assume @p4 (forall (@list @t2 @t1 @t12 @t11) (not (= @t3 (tptp.vabs @t1 @t12 @t11))))) % 0.37/1.00 (assume @p5 (forall (@list @t2 @t11 @t9) (not (= @t3 @t20)))) % 0.37/1.00 (assume @p6 (forall (@list @t2 @t12 @t11 @t9 @t19) (not (= @t13 (tptp.vapp @t9 @t19))))) % 0.37/1.00 (assume @p7 @t30) % 0.37/1.00 (assume @p8 @t35) % 0.37/1.00 (assume @p9 (forall (@list @t37 @t36 @t11) (=> @t39 @t31))) % 0.37/1.00 (assume @p10 @t47) % 0.37/1.00 (assume @p11 (forall (@list @t51 @t2 @t11 @t26 @t40 @t24) (=> (and @t44 (= @t11 (tptp.vabs @t26 @t51 @t24))) (and (=> @t50 @t42) (=> @t42 @t50))))) % 0.37/1.00 (assume @p12 (forall (@list @t2 @t11 @t37 @t40 @t36) (=> (and @t44 @t39) (and (=> @t52 @t42) (=> @t42 @t52))))) % 0.37/1.00 (assume @p13 (and (=> @t53 true) (=> true @t53))) % 0.37/1.00 (assume @p14 (forall (@list @t2 @t12 @t55 @t1 @t10 @t54) (and (=> @t57 @t58) (=> @t58 @t57)))) % 0.37/1.00 (assume @p15 (and (=> @t59 true) (=> true @t59))) % 0.37/1.00 (assume @p16 (forall (@list @t12 @t10) (and (=> @t61 @t16) (=> @t16 @t61)))) % 0.37/1.00 (assume @p17 (forall (@list @t2 @t12 @t55) (not (= tptp.vempty @t56)))) % 0.37/1.00 (assume @p18 (forall (@list @t12) (not (= tptp.vnoType @t60)))) % 0.37/1.00 (assume @p19 (forall @t64 (=> (= @t62 tptp.vnoType) (not @t63)))) % 0.37/1.00 (assume @p20 (forall (@list @t24 @t62) (=> @t66 @t63))) % 0.37/1.00 (assume @p21 @t73) % 0.37/1.00 (assume @p22 (forall (@list @t26 @t2 @t55 @t67) (=> (and @t78 @t77) (=> @t76 @t74)))) % 0.37/1.00 (assume @p23 @t91) % 0.37/1.00 (assume @p24 (forall (@list @t79 @t83 @t2 @t55 @t67 @t26 @t86) (=> @t89 (=> @t94 (=> @t76 @t93))))) % 0.37/1.00 (assume @p25 (forall (@list @t2 @t55 @t67) (=> (= @t75 @t67) (or (exists @t95 (and @t78 @t77 @t74)) (exists (@list @t86 @t26 @t83 @t79) (and @t78 @t88 @t84 @t81)) (exists (@list @t79 @t83 @t26 @t86) (and @t78 @t88 @t94 @t93)))))) % 0.37/1.00 (assume @p26 (forall @t99 (=> (and @t84 @t98) (tptp.vtcheck @t97 @t24 @t51)))) % 0.37/1.00 (assume @p27 (forall @t99 (=> (and @t94 @t98) (tptp.vtcheck (tptp.vbind @t83 @t79 @t97) @t24 @t51)))) % 0.37/1.00 (assume @p28 (forall (@list @t40 @t24) (=> (= (tptp.vgensym @t24) @t40) (not @t48)))) % 0.37/1.00 (assume @p29 @t110) % 0.37/1.00 (assume @p30 @t115) % 0.37/1.00 (assume @p31 (forall (@list @t2 @t11 @t9 @t67 @t37 @t26 @t24 @t36) (=> (and @t78 @t106 @t118) (=> @t101 @t117)))) % 0.37/1.00 (assume @p32 (forall (@list @t24 @t26 @t2 @t11 @t9 @t67 @t83 @t51 @t37) (=> @t122 (=> @t84 (=> @t101 @t120))))) % 0.37/1.00 (assume @p33 (forall (@list @t2 @t11 @t9 @t67 @t26 @t24 @t51 @t83 @t123 @t37) (=> @t122 (=> (and @t94 @t126 @t125) (=> @t101 @t124))))) % 0.37/1.00 (assume @p34 (forall (@list @t2 @t11 @t9 @t67 @t83 @t51 @t26 @t24 @t37) (=> @t122 (=> (and @t94 @t128) (=> @t101 @t127))))) % 0.37/1.00 (assume @p35 (forall (@list @t2 @t11 @t9 @t67) (=> (= @t100 @t67) (or (exists (@list @t26 @t83 @t24) (and @t78 @t106 @t105 @t84 @t68)) (exists @t129 (and @t78 @t106 @t105 @t94 @t111)) (exists (@list @t37 @t26 @t24 @t36) (and @t78 @t106 @t118 @t117)) (exists (@list @t24 @t26 @t83 @t51 @t37) (and @t78 @t106 @t121 @t84 @t120)) (exists (@list @t26 @t24 @t51 @t83 @t123 @t37) (and @t78 @t106 @t121 @t94 @t126 @t125 @t124)) (exists (@list @t83 @t51 @t26 @t24 @t37) (and @t78 @t106 @t121 @t94 @t128 @t127)))))) % 0.37/1.00 (assume @p36 (and (=> @t130 true) (=> true @t130))) % 0.37/1.00 (assume @p37 (forall (@list @t11 @t9) (and (=> @t132 @t15) (=> @t15 @t132)))) % 0.37/1.00 (assume @p38 (forall @t133 (not (= tptp.vnoExp @t131)))) % 0.37/1.00 (assume @p39 (forall (@list @t134) (=> (= @t134 tptp.vnoExp) (not @t135)))) % 0.37/1.00 (assume @p40 (forall (@list @t24 @t134) (=> @t136 @t135))) % 0.37/1.00 (assume @p41 (forall (@list @t134 @t67 @t24) (=> @t136 (=> (= @t67 (tptp.vgetSomeExp @t134)) @t68)))) % 0.37/1.00 (assume @p42 (forall (@list @t26 @t11 @t67) (=> @t33 @t140))) % 0.37/1.00 (assume @p43 (forall (@list @t26 @t25 @t24 @t11 @t67) (=> @t28 @t140))) % 0.37/1.00 (assume @p44 (forall (@list @t36 @t11 @t67 @t26 @t25 @t37 @t141) (=> @t146 (=> (and @t145 @t144) (=> @t139 @t143))))) % 0.37/1.00 (assume @p45 (forall (@list @t25 @t141 @t11 @t67 @t26 @t36 @t37) (=> @t146 (=> (and @t145 @t149 @t148) (=> @t139 @t147))))) % 0.37/1.00 (assume @p46 (forall (@list @t26 @t25 @t37 @t141 @t36 @t11 @t67) (=> @t146 (=> (and @t145 @t149 @t150) @t140)))) % 0.37/1.00 (assume @p47 (forall (@list @t37 @t11 @t67 @t151 @t36) (=> @t159 (=> (and @t154 @t153) (=> @t139 @t152))))) % 0.37/1.00 (assume @p48 (forall (@list @t36 @t37 @t151 @t11 @t67) (=> @t159 (=> (and @t154 @t160) @t140)))) % 0.37/1.00 (assume @p49 (forall (@list @t11 @t67) (=> (= @t138 @t67) (or (exists @t95 (and @t33 @t137)) (exists @t161 (and @t28 @t137)) (exists (@list @t36 @t26 @t25 @t37 @t141) (and @t146 @t145 @t144 @t143)) (exists (@list @t25 @t141 @t26 @t36 @t37) (and @t146 @t145 @t149 @t148 @t147)) (exists (@list @t26 @t25 @t37 @t141 @t36) (and @t146 @t145 @t149 @t150 @t137)) (exists (@list @t37 @t151 @t36) (and @t39 @t158 @t154 @t153 @t152)) (exists (@list @t36 @t37 @t151) (and @t39 @t158 @t154 @t160 @t137)))))) % 0.37/1.00 (assume @p50 (forall (@list @t12 @t10 @t163 @t162) (and (=> @t164 @t165) (=> @t165 @t164)))) % 0.37/1.00 (assume @p51 (forall (@list @t86 @t26 @t51) (=> @t166 (tptp.vtcheck @t86 @t32 @t51)))) % 0.37/1.00 (assume @p52 (forall (@list @t86 @t26 @t24 @t25 @t51) (=> @t168 (tptp.vtcheck @t86 @t27 @t167)))) % 0.37/1.00 (assume @p53 (forall (@list @t25 @t86 @t37 @t36 @t51) (=> @t171 (tptp.vtcheck @t86 @t38 @t51)))) % 0.37/1.00 (assume @p54 @t193) % 0.37/1.00 (assume @p55 (forall @t194 (=> (and (= @t92 tptp.vnoType) @t190) @t168))) % 0.37/1.00 (assume @p56 @t198) % 0.37/1.00 (assume @p57 (forall @t194 (=> (and @t196 @t190) @t168))) % 0.37/1.00 (assume @p58 @t205) % 0.37/1.00 (assume @p59 true) % 0.37/1.00 (step @p60 :rule aci_norm :args ((= (or @t84 false @t206) (or @t84 @t206)))) % 0.37/1.00 (step @p61 :rule eq-symm :args (@t199 @t104)) % 0.37/1.00 (step @p62 :rule evaluate :args ((not true))) % 0.37/1.00 (step @p63 :rule eq-refl :args (@t199)) % 0.37/1.00 (step @p64 :rule cong :premises (@p63) :args (@t207)) % 0.37/1.00 (step @p65 :rule trans :premises (@p64 @p62)) % 0.37/1.00 (step @p66 :rule refl :args (@t84)) % 0.37/1.00 (step @p67 :rule nary_cong :premises (@p66 @p65 @p61) :args (@t208)) % 0.37/1.00 (step @p68 :rule trans :premises (@p67 @p60)) % 0.37/1.00 (step @p69 :rule cong :premises (@p68) :args ((forall @t129 @t208))) % 0.37/1.00 (step @p70 :rule quant-var-elim-eq :args ((= (forall @t211 @t210) @t208))) % 0.37/1.00 (step @p71 :rule aci_norm :args ((= @t212 @t210))) % 0.37/1.00 (step @p72 :rule cong :premises (@p71) :args (@t213)) % 0.37/1.00 (step @p73 :rule trans :premises (@p72 @p70)) % 0.37/1.00 (step @p74 :rule cong :premises (@p73) :args (@t214)) % 0.37/1.00 (step @p75 :rule quant-merge-prenex :args ((= @t214 @t215))) % 0.37/1.00 (step @p76 :rule symm :premises (@p75)) % 0.37/1.00 (step @p77 :rule quant_var_reordering :args ((= (forall @t216 @t212) @t215))) % 0.37/1.00 (step @p78 :rule trans :premises (@p77 @p76 @p74)) % 0.37/1.00 (step @p79 :rule trans :premises (@p78 @p69)) % 0.37/1.00 (step @p80 :rule aci_norm :args ((= (or false @t84 @t209 @t111) @t212))) % 0.37/1.00 (step @p81 :rule refl :args (@t111)) % 0.37/1.00 (step @p82 :rule refl :args (@t209)) % 0.37/1.00 (step @p83 :rule eq-refl :args (@t104)) % 0.37/1.00 (step @p84 :rule cong :premises (@p83) :args (@t217)) % 0.37/1.00 (step @p85 :rule trans :premises (@p84 @p62)) % 0.37/1.00 (step @p86 :rule nary_cong :premises (@p85 @p66 @p82 @p81) :args (@t218)) % 0.37/1.00 (step @p87 :rule trans :premises (@p86 @p80)) % 0.37/1.00 (step @p88 :rule cong :premises (@p87) :args ((forall @t216 @t218))) % 0.37/1.00 (step @p89 :rule trans :premises (@p88 @p79)) % 0.37/1.00 (step @p90 :rule quant-var-elim-eq 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:rule aci_norm :args ((= (or false @t549) @t549))) % 0.37/1.00 (step @p818 :rule refl :args (@t549)) % 0.37/1.00 (step @p819 :rule eq-refl :args (@t548)) % 0.37/1.00 (step @p820 :rule cong :premises (@p819) :args (@t550)) % 0.37/1.00 (step @p821 :rule trans :premises (@p820 @p62)) % 0.37/1.00 (step @p822 :rule nary_cong :premises (@p821 @p818) :args (@t551)) % 0.37/1.00 (step @p823 :rule trans :premises (@p822 @p817)) % 0.37/1.00 (step @p824 :rule cong :premises (@p823) :args ((forall @t552 @t551))) % 0.37/1.00 (step @p825 :rule quant-var-elim-eq :args ((= (forall @t211 @t554) @t551))) % 0.37/1.00 (step @p826 :rule aci_norm :args ((= @t555 @t554))) % 0.37/1.00 (step @p827 :rule cong :premises (@p826) :args (@t556)) % 0.37/1.00 (step @p828 :rule trans :premises (@p827 @p825)) % 0.37/1.00 (step @p829 :rule cong :premises (@p828) :args (@t557)) % 0.37/1.00 (step @p830 :rule quant-merge-prenex :args ((= @t557 @t558))) % 0.37/1.00 (step @p831 :rule symm :premises (@p830)) % 0.37/1.00 (step @p832 :rule quant_var_reordering :args ((= (forall @t559 @t555) @t558))) % 0.37/1.00 (step @p833 :rule trans :premises (@p832 @p831 @p829)) % 0.37/1.00 (step @p834 :rule trans :premises (@p833 @p824)) % 0.37/1.00 (step @p835 :rule aci_norm :args ((= (or false @t553 @t477) @t555))) % 0.37/1.00 (step @p836 :rule refl :args (@t553)) % 0.37/1.00 (step @p837 :rule nary_cong :premises (@p682 @p836 @p615) :args (@t560)) % 0.37/1.00 (step @p838 :rule trans :premises (@p837 @p835)) % 0.37/1.00 (step @p839 :rule cong :premises (@p838) :args ((forall @t559 @t560))) % 0.37/1.00 (step @p840 :rule trans :premises (@p839 @p834)) % 0.37/1.00 (step @p841 :rule quant-var-elim-eq :args ((= (forall @t95 @t561) @t560))) % 0.37/1.00 (step @p842 :rule aci_norm :args ((= @t562 @t561))) % 0.37/1.00 (step @p843 :rule cong :premises (@p842) :args (@t563)) % 0.37/1.00 (step @p844 :rule trans :premises (@p843 @p841)) % 0.37/1.00 (step @p845 :rule cong :premises (@p844) :args (@t564)) % 0.37/1.00 (step @p846 :rule quant-merge-prenex :args ((= @t564 @t565))) % 0.37/1.00 (step @p847 :rule symm :premises (@p846)) % 0.37/1.00 (step @p848 :rule quant_var_reordering :args ((= (forall @t566 @t562) @t565))) % 0.37/1.00 (step @p849 :rule trans :premises (@p848 @p847 @p845)) % 0.37/1.00 (step @p850 :rule trans :premises (@p849 @p840)) % 0.37/1.00 (step @p851 :rule aci_norm :args ((= (or false @t94 @t209 @t477) @t562))) % 0.37/1.00 (step @p852 :rule nary_cong :premises (@p85 @p699 @p82 @p615) :args (@t567)) % 0.37/1.00 (step @p853 :rule trans :premises (@p852 @p851)) % 0.37/1.00 (step @p854 :rule cong :premises (@p853) :args ((forall @t566 @t567))) % 0.37/1.00 (step @p855 :rule trans :premises (@p854 @p850)) % 0.37/1.00 (step @p856 :rule quant-var-elim-eq :args ((= (forall @t222 @t568) @t567))) % 0.37/1.00 (step @p857 :rule aci_norm :args ((= @t569 @t568))) % 0.37/1.00 (step @p858 :rule cong :premises (@p857) :args (@t570)) % 0.37/1.00 (step @p859 :rule trans :premises (@p858 @p856)) % 0.37/1.00 (step @p860 :rule cong :premises (@p859) :args (@t571)) % 0.37/1.00 (step @p861 :rule quant-merge-prenex :args ((= @t571 @t572))) % 0.37/1.00 (step @p862 :rule symm :premises (@p861)) % 0.37/1.00 (step @p863 :rule quant_var_reordering :args ((= (forall @t573 @t569) @t572))) % 0.37/1.00 (step @p864 :rule trans :premises (@p863 @p862 @p860)) % 0.37/1.00 (step @p865 :rule trans :premises (@p864 @p855)) % 0.37/1.00 (step @p866 :rule aci_norm :args ((= (or false @t220 @t94 @t219 @t477) @t569))) % 0.37/1.00 (step @p867 :rule nary_cong :premises (@p105 @p102 @p699 @p101 @p615) :args (@t574)) % 0.37/1.00 (step @p868 :rule trans :premises (@p867 @p866)) % 0.37/1.00 (step @p869 :rule cong :premises (@p868) :args ((forall @t573 @t574))) % 0.37/1.00 (step @p870 :rule trans :premises (@p869 @p865)) % 0.37/1.00 (step @p871 :rule quant-var-elim-eq :args ((= (forall @t133 @t575) @t574))) % 0.37/1.00 (step @p872 :rule aci_norm :args ((= @t576 @t575))) % 0.37/1.00 (step @p873 :rule cong :premises (@p872) :args (@t577)) % 0.37/1.00 (step @p874 :rule trans :premises (@p873 @p871)) % 0.37/1.00 (step @p875 :rule cong :premises (@p874) :args (@t578)) % 0.37/1.00 (step @p876 :rule quant-merge-prenex :args ((= @t578 @t579))) % 0.37/1.00 (step @p877 :rule symm :premises (@p876)) % 0.37/1.00 (step @p878 :rule quant_var_reordering :args ((= (forall @t580 @t576) @t579))) % 0.37/1.00 (step @p879 :rule trans :premises (@p878 @p877 @p875)) % 0.37/1.00 (step @p880 :rule trans :premises (@p879 @p870)) % 0.37/1.00 (step @p881 :rule aci_norm :args ((= (or false @t231 @t220 @t94 @t230 @t477) @t576))) % 0.37/1.00 (step @p882 :rule nary_cong :premises (@p125 @p122 @p102 @p699 @p121 @p615) :args (@t581)) % 0.37/1.00 (step @p883 :rule trans :premises (@p882 @p881)) % 0.37/1.00 (step @p884 :rule cong :premises (@p883) :args ((forall @t580 @t581))) % 0.37/1.00 (step @p885 :rule trans :premises (@p884 @p880)) % 0.37/1.00 (step @p886 :rule quant-var-elim-eq :args ((= (forall @t243 @t582) @t581))) % 0.37/1.00 (step @p887 :rule aci_norm :args ((= @t583 @t582))) % 0.37/1.00 (step @p888 :rule cong :premises (@p887) :args (@t584)) % 0.37/1.00 (step @p889 :rule trans :premises (@p888 @p886)) % 0.37/1.00 (step @p890 :rule cong :premises (@p889) :args (@t585)) % 0.37/1.00 (step @p891 :rule quant-merge-prenex :args ((= @t585 @t586))) % 0.37/1.00 (step @p892 :rule symm :premises (@p891)) % 0.37/1.00 (step @p893 :rule quant_var_reordering :args ((= (forall @t109 @t583) @t586))) % 0.37/1.00 (step @p894 :rule trans :premises (@p893 @p892 @p890)) % 0.37/1.00 (step @p895 :rule trans :premises (@p894 @p885)) % 0.37/1.00 (step @p896 :rule aci_norm :args ((= (or @t249 @t587) @t583))) % 0.37/1.00 (step @p897 :rule aci_norm :args ((= (or @t94 (or @t240 @t477)) @t587))) % 0.37/1.00 (step @p898 :rule bool-impl-elim :args (@t101 @t477)) % 0.37/1.00 (step @p899 :rule nary_cong :premises (@p737 @p898) :args ((or @t94 @t588))) % 0.37/1.00 (step @p900 :rule trans :premises (@p899 @p897)) % 0.37/1.00 (step @p901 :rule bool-impl-elim :args (@t84 @t588)) % 0.37/1.00 (step @p902 :rule trans :premises (@p901 @p900)) % 0.37/1.00 (step @p903 :rule nary_cong :premises (@p158 @p902) :args ((or @t250 @t589))) % 0.37/1.00 (step @p904 :rule trans :premises (@p903 @p896)) % 0.37/1.00 (step @p905 :rule bool-impl-elim :args (@t107 @t589)) % 0.37/1.00 (step @p906 :rule trans :premises (@p905 @p904)) % 0.37/1.00 (step @p907 :rule cong :premises (@p906) :args ((forall @t109 (=> @t107 @t589)))) % 0.37/1.00 (step @p908 :rule trans :premises (@p907 @p895)) % 0.37/1.00 (step @p909 :rule refl :args (@t101)) % 0.37/1.00 (step @p910 :rule cong :premises (@p909 @p643) :args (@t102)) % 0.37/1.00 (step @p911 :rule cong :premises (@p66 @p910) :args (@t103)) % 0.37/1.00 (step @p912 :rule refl :args (@t107)) % 0.37/1.00 (step @p913 :rule cong :premises (@p912 @p911) :args (@t108)) % 0.37/1.00 (step @p914 :rule cong :premises (@p913) :args (@t110)) % 0.37/1.00 (step @p915 :rule trans :premises (@p914 @p908)) % 0.37/1.00 (step @p916 :rule eq_resolve :premises (@p29 @p915)) % 0.37/1.00 (step @p917 :rule instantiate :premises (@p916) :args ((@list @t256 @t257))) % 0.37/1.00 (step @p918 :rule refl :args (@t593)) % 0.37/1.00 (step @p919 :rule bool-double-not-elim :args (@t542)) % 0.37/1.00 (step @p920 :rule refl :args (@t471)) % 0.37/1.00 (step @p921 :rule nary_cong :premises (@p920 @p919 @p918) :args ((or @t471 (not @t543) @t593))) % 0.37/1.00 (assume-push @p1026 @t592) % 0.37/1.00 (assume-push @p1027 @t593) % 0.37/1.00 (step @p924 :rule evaluate :args ((= false true))) % 0.37/1.00 (step @p925 :rule true_intro :premises (@p917)) % 0.37/1.00 (step @p926 :rule false_intro :premises (@p1027)) % 0.37/1.00 (step @p927 :rule symm :premises (@p926)) % 0.37/1.00 (step @p928 :rule trans :premises (@p927 @p925)) % 0.37/1.00 (step @p929 false :rule eq_resolve :premises (@p928 @p924)) % 0.37/1.00 (step-pop @p1028 :rule scope :premises (@p929)) % 0.37/1.00 (step-pop @p1029 :rule scope :premises (@p1028)) % 0.37/1.00 (step @p930 :rule process_scope :premises (@p1029) :args (false)) % 0.37/1.00 (assume-push @p1030 @t261) % 0.37/1.00 (assume-push @p1031 @t543) % 0.37/1.00 (assume-push @p1032 @t592) % 0.37/1.00 (assume-push @p1033 @t543) % 0.37/1.00 (assume-push @p1034 @t261) % 0.37/1.00 (step @p938 :rule false_intro :premises (@p1031)) % 0.37/1.00 (step @p939 :rule cong :premises (@p1030) :args (@t590)) % 0.37/1.00 (step @p940 :rule refl :args (@t257)) % 0.37/1.00 (step @p941 :rule refl :args (@t256)) % 0.37/1.00 (step @p942 :rule cong :premises (@p941 @p940 @p939) :args (@t591)) % 0.37/1.00 (step @p943 :rule cong :premises (@p940 @p942) :args (@t592)) % 0.37/1.00 (step @p944 :rule trans :premises (@p943 @p938)) % 0.37/1.00 (step @p945 :rule false_elim :premises (@p944)) % 0.37/1.00 (step-pop @p1035 :rule scope :premises (@p945)) % 0.37/1.00 (step-pop @p1036 :rule scope :premises (@p1035)) % 0.37/1.00 (step @p946 :rule process_scope :premises (@p1036) :args (@t593)) % 0.37/1.00 (step @p949 :rule and_intro :premises (@p1031 @p1030)) % 0.37/1.00 (step @p950 :rule modus_ponens :premises (@p949 @p946)) % 0.37/1.00 (step @p951 :rule and_intro :premises (@p917 @p950)) % 0.37/1.00 (step-pop @p1037 :rule scope :premises (@p951)) % 0.37/1.00 (step-pop @p1038 :rule scope :premises (@p1037)) % 0.37/1.00 (step-pop @p1039 :rule scope :premises (@p1038)) % 0.37/1.00 (step @p952 :rule process_scope :premises (@p1039) :args (@t594)) % 0.37/1.00 (step @p956 :rule implies_elim :premises (@p952)) % 0.37/1.00 (step @p957 :rule resolution :premises (@p956 @p930) :args (true @t594)) % 0.37/1.00 (step @p958 :rule not_and :premises (@p957)) % 0.37/1.00 (step @p959 :rule eq_resolve :premises (@p958 @p921)) % 0.37/1.00 (step @p960 :rule reordering :premises (@p959) :args ((or @t542 @t471 @t593))) % 0.37/1.00 (step @p961 false :rule chain_m_resolution :premises (@p960 @p917 @p816 @p322) :args (false (@list false true false) (@list @t592 @t542 @t261))) % 0.37/1.00 ) % 0.37/1.00 % SZS output end Proof % 0.37/1.00 % cvc5 exiting %------------------------------------------------------------------------------