%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC242+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:58:34 AM UTC 2026 % Result : Theorem 0.35s 0.73s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC242+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:31:06 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.73 % SZS status Theorem % 0.35/0.73 % SZS output start Proof % 0.35/0.73 ( % 0.35/0.73 (declare-sort $$unsorted 0) % 0.35/0.73 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.35/0.73 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.35/0.73 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.73 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.73 (declare-const tptp.nil $$unsorted) % 0.35/0.73 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.35/0.73 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.35/0.73 (define @t1 () (@var "V" $$unsorted)) % 0.35/0.73 (define @t2 () (@var "U" $$unsorted)) % 0.35/0.73 (define @t3 () (= @t2 @t1)) % 0.35/0.73 (define @t4 () (not @t3)) % 0.35/0.73 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.35/0.73 (define @t6 () (tptp.ssItem @t1)) % 0.35/0.73 (define @t7 () (@list @t1)) % 0.35/0.73 (define @t8 () (tptp.ssItem @t2)) % 0.35/0.73 (define @t9 () (@list @t2)) % 0.35/0.73 (define @t10 () (@var "X" $$unsorted)) % 0.35/0.73 (define @t11 () (tptp.cons @t1 @t10)) % 0.35/0.73 (define @t12 () (@var "W" $$unsorted)) % 0.35/0.73 (define @t13 () (tptp.ssList @t10)) % 0.35/0.73 (define @t14 () (@list @t10)) % 0.35/0.73 (define @t15 () (tptp.ssList @t12)) % 0.35/0.73 (define @t16 () (@list @t12)) % 0.35/0.73 (define @t17 () (tptp.ssList @t2)) % 0.35/0.73 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.35/0.73 (define @t19 () (tptp.app @t1 @t12)) % 0.35/0.73 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.35/0.73 (define @t21 () (tptp.ssList @t1)) % 0.35/0.73 (define @t22 () (tptp.app @t12 @t1)) % 0.35/0.73 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.35/0.73 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.35/0.73 (define @t25 () (tptp.leq @t12 @t1)) % 0.35/0.73 (define @t26 () (tptp.leq @t1 @t12)) % 0.35/0.73 (define @t27 () (@var "Z" $$unsorted)) % 0.35/0.73 (define @t28 () (@var "Y" $$unsorted)) % 0.35/0.73 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.35/0.73 (define @t30 () (tptp.ssList @t27)) % 0.35/0.73 (define @t31 () (@list @t27)) % 0.35/0.73 (define @t32 () (tptp.ssList @t28)) % 0.35/0.73 (define @t33 () (@list @t28)) % 0.35/0.73 (define @t34 () (tptp.ssItem @t12)) % 0.35/0.73 (define @t35 () (tptp.lt @t1 @t12)) % 0.35/0.73 (define @t36 () (= @t1 @t12)) % 0.35/0.73 (define @t37 () (tptp.cons @t1 @t2)) % 0.35/0.73 (define @t38 () (= @t1 @t2)) % 0.35/0.73 (define @t39 () (tptp.cons @t12 @t1)) % 0.35/0.73 (define @t40 () (= tptp.nil @t2)) % 0.35/0.73 (define @t41 () (tptp.hd @t2)) % 0.35/0.73 (define @t42 () (not @t40)) % 0.35/0.73 (define @t43 () (tptp.tl @t2)) % 0.35/0.73 (define @t44 () (tptp.app @t2 @t1)) % 0.35/0.73 (define @t45 () (tptp.app @t1 @t2)) % 0.35/0.73 (define @t46 () (tptp.leq @t1 @t2)) % 0.35/0.73 (define @t47 () (tptp.leq @t2 @t1)) % 0.35/0.73 (define @t48 () (tptp.geq @t2 @t1)) % 0.35/0.73 (define @t49 () (tptp.lt @t1 @t2)) % 0.35/0.73 (define @t50 () (tptp.lt @t2 @t1)) % 0.35/0.73 (define @t51 () (tptp.lt @t2 @t12)) % 0.35/0.73 (define @t52 () (tptp.gt @t2 @t1)) % 0.35/0.73 (define @t53 () (tptp.memberP @t12 @t2)) % 0.35/0.73 (define @t54 () (tptp.app @t12 @t2)) % 0.35/0.73 (define @t55 () (tptp.cons @t2 tptp.nil)) % 0.35/0.73 (define @t56 () (tptp.hd @t1)) % 0.35/0.73 (define @t57 () (= tptp.nil @t1)) % 0.35/0.73 (define @t58 () (not @t57)) % 0.35/0.73 (define @t59 () (tptp.cons @t2 @t1)) % 0.35/0.73 (define @t60 () (= @t12 @t2)) % 0.35/0.73 (define @t61 () (@var "X6" $$unsorted)) % 0.35/0.73 (define @t62 () (@var "X3" $$unsorted)) % 0.35/0.73 (define @t63 () (tptp.lt @t62 @t61)) % 0.35/0.73 (define @t64 () (@var "X5" $$unsorted)) % 0.35/0.73 (define @t65 () (tptp.memberP @t64 @t61)) % 0.35/0.73 (define @t66 () (@var "X4" $$unsorted)) % 0.35/0.73 (define @t67 () (tptp.memberP @t66 @t61)) % 0.35/0.73 (define @t68 () (tptp.leq @t62 @t61)) % 0.35/0.73 (define @t69 () (not @t68)) % 0.35/0.73 (define @t70 () (tptp.ssItem @t61)) % 0.35/0.73 (define @t71 () (and @t70 @t69 @t67 @t65 @t63)) % 0.35/0.73 (define @t72 () (@list @t61)) % 0.35/0.73 (define @t73 () (exists @t72 @t71)) % 0.35/0.73 (define @t74 () (tptp.cons @t62 tptp.nil)) % 0.35/0.73 (define @t75 () (tptp.app @t66 @t74)) % 0.35/0.73 (define @t76 () (tptp.app @t75 @t64)) % 0.35/0.73 (define @t77 () (not (= @t76 @t12))) % 0.35/0.73 (define @t78 () (not (tptp.ssList @t64))) % 0.35/0.73 (define @t79 () (or @t78 @t77 @t73)) % 0.35/0.73 (define @t80 () (@list @t64)) % 0.35/0.73 (define @t81 () (forall @t80 @t79)) % 0.35/0.73 (define @t82 () (tptp.ssList @t66)) % 0.35/0.73 (define @t83 () (=> @t82 @t81)) % 0.35/0.73 (define @t84 () (@list @t66)) % 0.35/0.73 (define @t85 () (forall @t84 @t83)) % 0.35/0.73 (define @t86 () (tptp.ssItem @t62)) % 0.35/0.73 (define @t87 () (=> @t86 @t85)) % 0.35/0.73 (define @t88 () (@list @t62)) % 0.35/0.73 (define @t89 () (forall @t88 @t87)) % 0.35/0.73 (define @t90 () (not (= tptp.nil @t12))) % 0.35/0.73 (define @t91 () (and @t90 @t89)) % 0.35/0.73 (define @t92 () (@var "X2" $$unsorted)) % 0.35/0.73 (define @t93 () (tptp.leq @t28 @t92)) % 0.35/0.73 (define @t94 () (not (tptp.lt @t28 @t92))) % 0.35/0.73 (define @t95 () (@var "X1" $$unsorted)) % 0.35/0.73 (define @t96 () (not (tptp.memberP @t27 @t92))) % 0.35/0.73 (define @t97 () (not (tptp.ssItem @t92))) % 0.35/0.73 (define @t98 () (@list @t92)) % 0.35/0.73 (define @t99 () (forall @t98 (or @t97 @t96 (not (tptp.memberP @t95 @t92)) @t94 @t93))) % 0.35/0.73 (define @t100 () (tptp.cons @t28 tptp.nil)) % 0.35/0.73 (define @t101 () (tptp.app @t27 @t100)) % 0.35/0.73 (define @t102 () (tptp.app @t101 @t95)) % 0.35/0.73 (define @t103 () (tptp.ssList @t95)) % 0.35/0.73 (define @t104 () (and @t103 (= @t102 @t2) @t99)) % 0.35/0.73 (define @t105 () (@list @t95)) % 0.35/0.73 (define @t106 () (exists @t105 @t104)) % 0.35/0.73 (define @t107 () (and @t30 @t106)) % 0.35/0.73 (define @t108 () (exists @t31 @t107)) % 0.35/0.73 (define @t109 () (tptp.ssItem @t28)) % 0.35/0.73 (define @t110 () (and @t109 @t108)) % 0.35/0.73 (define @t111 () (exists @t33 @t110)) % 0.35/0.73 (define @t112 () (not (= @t2 @t12))) % 0.35/0.73 (define @t113 () (not (= @t1 @t10))) % 0.35/0.73 (define @t114 () (not @t13)) % 0.35/0.73 (define @t115 () (or @t114 @t113 @t112 @t40 @t111 @t91)) % 0.35/0.73 (define @t116 () (forall @t14 @t115)) % 0.35/0.73 (define @t117 () (=> @t15 @t116)) % 0.35/0.73 (define @t118 () (forall @t16 @t117)) % 0.35/0.73 (define @t119 () (=> @t21 @t118)) % 0.35/0.73 (define @t120 () (forall @t7 @t119)) % 0.35/0.73 (define @t121 () (=> @t17 @t120)) % 0.35/0.73 (define @t122 () (forall @t9 @t121)) % 0.35/0.73 (define @t123 () (not @t122)) % 0.35/0.73 (define @t124 () (@var "BOUND_VARIABLE_11220" $$unsorted)) % 0.35/0.73 (define @t125 () (@var "BOUND_VARIABLE_11224" $$unsorted)) % 0.35/0.73 (define @t126 () (@var "BOUND_VARIABLE_11222" $$unsorted)) % 0.35/0.73 (define @t127 () (not @t70)) % 0.35/0.73 (define @t128 () (or (not (tptp.ssItem @t124)) (not (tptp.ssList @t126)) (not (tptp.ssList @t125)) (not (= @t2 (tptp.app (tptp.app @t126 (tptp.cons @t124 tptp.nil)) @t125))) (not (forall @t72 (or @t127 (tptp.leq @t124 @t61) (not (tptp.memberP @t126 @t61)) (not (tptp.memberP @t125 @t61)) (not (tptp.lt @t124 @t61))))))) % 0.35/0.73 (define @t129 () (= @t2 tptp.nil)) % 0.35/0.73 (define @t130 () (not @t129)) % 0.35/0.73 (define @t131 () (and @t130 @t128)) % 0.35/0.73 (define @t132 () (@var "BOUND_VARIABLE_11018" $$unsorted)) % 0.35/0.73 (define @t133 () (@var "BOUND_VARIABLE_11016" $$unsorted)) % 0.35/0.73 (define @t134 () (not (forall @t98 (or @t97 (not (tptp.memberP @t133 @t92)) (not (tptp.memberP @t132 @t92)) @t94 @t93)))) % 0.35/0.73 (define @t135 () (tptp.app (tptp.app @t133 @t100) @t132)) % 0.35/0.73 (define @t136 () (not (= @t2 @t135))) % 0.35/0.73 (define @t137 () (not (tptp.ssList @t132))) % 0.35/0.73 (define @t138 () (not (tptp.ssList @t133))) % 0.35/0.73 (define @t139 () (not @t109)) % 0.35/0.73 (define @t140 () (or @t139 @t138 @t137 @t136 @t134)) % 0.35/0.73 (define @t141 () (@list @t28 @t133 @t132)) % 0.35/0.73 (define @t142 () (not (forall @t141 @t140))) % 0.35/0.73 (define @t143 () (not @t17)) % 0.35/0.73 (define @t144 () (or @t143 @t129 @t142 @t131)) % 0.35/0.73 (define @t145 () (forall (@list @t2 @t124 @t126 @t125) @t144)) % 0.35/0.73 (define @t146 () (@list @t124 @t126 @t125)) % 0.35/0.73 (define @t147 () (forall @t146 @t144)) % 0.35/0.73 (define @t148 () (forall @t146 @t128)) % 0.35/0.73 (define @t149 () (@var "BOUND_VARIABLE_11177" $$unsorted)) % 0.35/0.73 (define @t150 () (@var "BOUND_VARIABLE_11175" $$unsorted)) % 0.35/0.73 (define @t151 () (@var "BOUND_VARIABLE_11173" $$unsorted)) % 0.35/0.73 (define @t152 () (@list @t151 @t150 @t149)) % 0.35/0.73 (define @t153 () (forall @t146 @t130)) % 0.35/0.73 (define @t154 () (and @t153 @t148)) % 0.35/0.73 (define @t155 () (forall @t146 @t131)) % 0.35/0.73 (define @t156 () (or @t143 @t129 @t142 @t155)) % 0.35/0.73 (define @t157 () (and @t130 (forall (@list @t151 @t150 @t149) (or (not (tptp.ssItem @t151)) (not (tptp.ssList @t150)) (not (tptp.ssList @t149)) (not (= @t2 (tptp.app (tptp.app @t150 (tptp.cons @t151 tptp.nil)) @t149))) (not (forall @t72 (or @t127 (tptp.leq @t151 @t61) (not (tptp.memberP @t150 @t61)) (not (tptp.memberP @t149 @t61)) (not (tptp.lt @t151 @t61))))))))) % 0.35/0.73 (define @t158 () (or @t143 @t129 @t142 @t157)) % 0.35/0.73 (define @t159 () (forall @t9 @t158)) % 0.35/0.73 (define @t160 () (not @t21)) % 0.35/0.73 (define @t161 () (forall @t7 @t160)) % 0.35/0.73 (define @t162 () (or @t161 @t159)) % 0.35/0.73 (define @t163 () (or @t161 @t158)) % 0.35/0.73 (define @t164 () (or @t143 @t129 @t142 @t157 @t161)) % 0.35/0.73 (define @t165 () (or @t129 @t142 @t143 @t157 @t161)) % 0.35/0.73 (define @t166 () (or @t129 @t142 @t143 @t157 @t160)) % 0.35/0.73 (define @t167 () (or @t160 @t129 @t142 @t143 @t157)) % 0.35/0.73 (define @t168 () (or @t129 @t142 @t160 @t143 @t157)) % 0.35/0.73 (define @t169 () (@var "BOUND_VARIABLE_11127" $$unsorted)) % 0.35/0.73 (define @t170 () (@var "BOUND_VARIABLE_11131" $$unsorted)) % 0.35/0.73 (define @t171 () (@var "BOUND_VARIABLE_11129" $$unsorted)) % 0.35/0.73 (define @t172 () (not (forall @t72 (or @t127 (tptp.leq @t169 @t61) (not (tptp.memberP @t171 @t61)) (not (tptp.memberP @t170 @t61)) (not (tptp.lt @t169 @t61)))))) % 0.35/0.73 (define @t173 () (tptp.app (tptp.app @t171 (tptp.cons @t169 tptp.nil)) @t170)) % 0.35/0.73 (define @t174 () (not (tptp.ssList @t170))) % 0.35/0.73 (define @t175 () (not (tptp.ssList @t171))) % 0.35/0.73 (define @t176 () (not (tptp.ssItem @t169))) % 0.35/0.73 (define @t177 () (or @t176 @t175 @t174 (not (= @t2 @t173)) @t172)) % 0.35/0.73 (define @t178 () (@list @t169 @t171 @t170)) % 0.35/0.73 (define @t179 () (forall @t178 @t177)) % 0.35/0.73 (define @t180 () (@list @t169 @t171 @t170)) % 0.35/0.73 (define @t181 () (forall @t178 @t130)) % 0.35/0.73 (define @t182 () (and @t181 @t179)) % 0.35/0.73 (define @t183 () (and @t130 @t177)) % 0.35/0.73 (define @t184 () (forall @t178 @t183)) % 0.35/0.73 (define @t185 () (or @t143 @t184)) % 0.35/0.73 (define @t186 () (or @t143 @t183)) % 0.35/0.73 (define @t187 () (not (= @t2 @t2))) % 0.35/0.73 (define @t188 () (or @t143 @t187 @t183)) % 0.35/0.73 (define @t189 () (or @t176 @t175 @t174 (not (= @t12 @t173)) @t172)) % 0.35/0.73 (define @t190 () (not (= @t12 tptp.nil))) % 0.35/0.73 (define @t191 () (and @t190 @t189)) % 0.35/0.73 (define @t192 () (not @t15)) % 0.35/0.73 (define @t193 () (or @t112 @t192 @t112 @t191)) % 0.35/0.73 (define @t194 () (or @t192 @t112 @t191)) % 0.35/0.73 (define @t195 () (forall @t16 @t194)) % 0.35/0.73 (define @t196 () (forall @t178 @t195)) % 0.35/0.73 (define @t197 () (forall (@list @t169 @t171 @t170 @t12) @t194)) % 0.35/0.73 (define @t198 () (forall (@list @t12 @t169 @t171 @t170) @t194)) % 0.35/0.73 (define @t199 () (forall @t178 @t194)) % 0.35/0.73 (define @t200 () (forall @t178 @t189)) % 0.35/0.73 (define @t201 () (@var "BOUND_VARIABLE_11088" $$unsorted)) % 0.35/0.73 (define @t202 () (@var "BOUND_VARIABLE_11086" $$unsorted)) % 0.35/0.73 (define @t203 () (forall @t178 @t190)) % 0.35/0.73 (define @t204 () (and @t203 @t200)) % 0.35/0.73 (define @t205 () (forall @t178 @t191)) % 0.35/0.73 (define @t206 () (or @t192 @t112 @t205)) % 0.35/0.73 (define @t207 () (not @t63)) % 0.35/0.73 (define @t208 () (not (forall @t72 (or @t127 @t68 (not (tptp.memberP @t202 @t61)) (not (tptp.memberP @t201 @t61)) @t207)))) % 0.35/0.73 (define @t209 () (not (= @t12 (tptp.app (tptp.app @t202 @t74) @t201)))) % 0.35/0.73 (define @t210 () (not (tptp.ssList @t201))) % 0.35/0.73 (define @t211 () (not (tptp.ssList @t202))) % 0.35/0.73 (define @t212 () (not @t86)) % 0.35/0.73 (define @t213 () (or @t212 @t211 @t210 @t209 @t208)) % 0.35/0.73 (define @t214 () (@list @t62 @t202 @t201)) % 0.35/0.73 (define @t215 () (and @t190 (forall @t214 @t213))) % 0.35/0.73 (define @t216 () (or @t192 @t112 @t215)) % 0.35/0.73 (define @t217 () (forall @t16 @t216)) % 0.35/0.73 (define @t218 () (or @t129 @t142 @t160 @t217)) % 0.35/0.73 (define @t219 () (or @t129 @t142 @t160 @t216)) % 0.35/0.73 (define @t220 () (or @t192 @t112 @t129 @t142 @t215 @t160)) % 0.35/0.73 (define @t221 () (or @t112 @t129 @t142 @t215 @t160)) % 0.35/0.73 (define @t222 () (not (= @t1 @t1))) % 0.35/0.73 (define @t223 () (or @t160 @t222)) % 0.35/0.73 (define @t224 () (or @t113 @t114 @t113)) % 0.35/0.73 (define @t225 () (or @t114 @t113)) % 0.35/0.73 (define @t226 () (forall @t14 @t225)) % 0.35/0.73 (define @t227 () (or @t112 @t129 @t142 @t215 @t226)) % 0.35/0.73 (define @t228 () (or @t112 @t129 @t142 @t215 @t225)) % 0.35/0.73 (define @t229 () (or @t114 @t113 @t112 @t129 @t142 @t215)) % 0.35/0.73 (define @t230 () (or @t211 @t210 @t209 @t208)) % 0.35/0.73 (define @t231 () (or @t212 @t230)) % 0.35/0.73 (define @t232 () (forall @t214 @t231)) % 0.35/0.73 (define @t233 () (@list @t202 @t201)) % 0.35/0.73 (define @t234 () (forall @t233 @t231)) % 0.35/0.73 (define @t235 () (forall @t233 @t230)) % 0.35/0.73 (define @t236 () (@var "BOUND_VARIABLE_11063" $$unsorted)) % 0.35/0.73 (define @t237 () (or @t212 @t235)) % 0.35/0.73 (define @t238 () (not @t67)) % 0.35/0.73 (define @t239 () (not (forall @t72 (or @t127 @t68 @t238 (not (tptp.memberP @t236 @t61)) @t207)))) % 0.35/0.73 (define @t240 () (not (= @t12 (tptp.app @t75 @t236)))) % 0.35/0.73 (define @t241 () (not (tptp.ssList @t236))) % 0.35/0.73 (define @t242 () (not @t82)) % 0.35/0.73 (define @t243 () (or @t242 @t241 @t240 @t239)) % 0.35/0.73 (define @t244 () (@list @t66 @t236)) % 0.35/0.73 (define @t245 () (forall @t244 @t243)) % 0.35/0.73 (define @t246 () (or @t241 @t240 @t239)) % 0.35/0.73 (define @t247 () (or @t242 @t246)) % 0.35/0.73 (define @t248 () (forall @t244 @t247)) % 0.35/0.73 (define @t249 () (@list @t236)) % 0.35/0.73 (define @t250 () (forall @t249 @t247)) % 0.35/0.73 (define @t251 () (forall @t249 @t246)) % 0.35/0.73 (define @t252 () (or @t242 @t251)) % 0.35/0.73 (define @t253 () (not @t65)) % 0.35/0.73 (define @t254 () (forall @t80 (or @t78 (not (= @t12 @t76)) (not (forall @t72 (or @t127 @t68 @t238 @t253 @t207)))))) % 0.35/0.73 (define @t255 () (not @t69)) % 0.35/0.73 (define @t256 () (or @t127 @t255 @t238 @t253 @t207)) % 0.35/0.73 (define @t257 () (forall @t72 (not @t71))) % 0.35/0.73 (define @t258 () (not @t257)) % 0.35/0.73 (define @t259 () (or @t138 @t137 @t136 @t134)) % 0.35/0.73 (define @t260 () (or @t139 @t259)) % 0.35/0.73 (define @t261 () (forall @t141 @t260)) % 0.35/0.73 (define @t262 () (@list @t133 @t132)) % 0.35/0.73 (define @t263 () (forall @t262 @t260)) % 0.35/0.73 (define @t264 () (forall @t262 @t259)) % 0.35/0.73 (define @t265 () (@var "BOUND_VARIABLE_10989" $$unsorted)) % 0.35/0.73 (define @t266 () (or @t139 @t264)) % 0.35/0.73 (define @t267 () (not (forall @t98 (or @t97 @t96 (not (tptp.memberP @t265 @t92)) @t94 @t93)))) % 0.35/0.73 (define @t268 () (not (= @t2 (tptp.app @t101 @t265)))) % 0.35/0.73 (define @t269 () (not (tptp.ssList @t265))) % 0.35/0.73 (define @t270 () (not @t30)) % 0.35/0.73 (define @t271 () (or @t270 @t269 @t268 @t267)) % 0.35/0.73 (define @t272 () (@list @t27 @t265)) % 0.35/0.73 (define @t273 () (forall @t272 @t271)) % 0.35/0.73 (define @t274 () (not @t273)) % 0.35/0.73 (define @t275 () (and @t109 @t274)) % 0.35/0.73 (define @t276 () (forall @t33 (not @t275))) % 0.35/0.73 (define @t277 () (not @t276)) % 0.35/0.73 (define @t278 () (or @t269 @t268 @t267)) % 0.35/0.73 (define @t279 () (or @t270 @t278)) % 0.35/0.73 (define @t280 () (forall @t272 @t279)) % 0.35/0.73 (define @t281 () (@list @t265)) % 0.35/0.73 (define @t282 () (forall @t281 @t279)) % 0.35/0.73 (define @t283 () (forall @t281 @t278)) % 0.35/0.73 (define @t284 () (or @t270 @t283)) % 0.35/0.73 (define @t285 () (not @t99)) % 0.35/0.73 (define @t286 () (= @t2 @t102)) % 0.35/0.73 (define @t287 () (not @t286)) % 0.35/0.73 (define @t288 () (not @t103)) % 0.35/0.73 (define @t289 () (or @t288 @t287 @t285)) % 0.35/0.73 (define @t290 () (forall @t105 @t289)) % 0.35/0.73 (define @t291 () (not @t290)) % 0.35/0.73 (define @t292 () (and @t30 @t291)) % 0.35/0.73 (define @t293 () (forall @t31 (not @t292))) % 0.35/0.73 (define @t294 () (not @t293)) % 0.35/0.73 (define @t295 () (and @t103 @t286 @t99)) % 0.35/0.73 (define @t296 () (forall @t105 (not @t295))) % 0.35/0.73 (define @t297 () (not @t296)) % 0.35/0.73 (define @t298 () (@quantifiers_skolemize @t145 1)) % 0.35/0.73 (define @t299 () (@quantifiers_skolemize @t145 3)) % 0.35/0.73 (define @t300 () (@quantifiers_skolemize @t145 2)) % 0.35/0.73 (define @t301 () (forall @t72 (or @t127 (tptp.leq @t298 @t61) (not (tptp.memberP @t300 @t61)) (not (tptp.memberP @t299 @t61)) (not (tptp.lt @t298 @t61))))) % 0.35/0.73 (define @t302 () (not @t301)) % 0.35/0.73 (define @t303 () (tptp.app (tptp.app @t300 (tptp.cons @t298 tptp.nil)) @t299)) % 0.35/0.73 (define @t304 () (@quantifiers_skolemize @t145 0)) % 0.35/0.73 (define @t305 () (= @t304 @t303)) % 0.35/0.73 (define @t306 () (not @t305)) % 0.35/0.73 (define @t307 () (tptp.ssList @t299)) % 0.35/0.73 (define @t308 () (not @t307)) % 0.35/0.73 (define @t309 () (tptp.ssList @t300)) % 0.35/0.73 (define @t310 () (not @t309)) % 0.35/0.73 (define @t311 () (tptp.ssItem @t298)) % 0.35/0.73 (define @t312 () (not @t311)) % 0.35/0.73 (define @t313 () (or @t312 @t310 @t308 @t306 @t302)) % 0.35/0.73 (define @t314 () (= tptp.nil @t304)) % 0.35/0.73 (define @t315 () (not @t314)) % 0.35/0.73 (define @t316 () (and @t315 @t313)) % 0.35/0.73 (define @t317 () (forall @t141 (or @t139 @t138 @t137 (not (= @t135 @t304)) @t134))) % 0.35/0.73 (define @t318 () (not @t317)) % 0.35/0.73 (define @t319 () (not (tptp.ssList @t304))) % 0.35/0.73 (define @t320 () (or @t319 @t314 @t318 @t316)) % 0.35/0.73 (define @t321 () (not @t320)) % 0.35/0.73 (define @t322 () (not @t145)) % 0.35/0.73 (define @t323 () (= @t304 tptp.nil)) % 0.35/0.73 (define @t324 () (not @t323)) % 0.35/0.73 (define @t325 () (and @t324 @t313)) % 0.35/0.73 (define @t326 () (not (= @t304 @t135))) % 0.35/0.73 (define @t327 () (or @t139 @t138 @t137 @t326 @t134)) % 0.35/0.73 (define @t328 () (forall @t141 @t327)) % 0.35/0.73 (define @t329 () (not @t328)) % 0.35/0.73 (define @t330 () (or @t319 @t323 @t329 @t325)) % 0.35/0.73 (define @t331 () (not @t330)) % 0.35/0.73 (define @t332 () (@list true)) % 0.35/0.73 (define @t333 () (@list @t320)) % 0.35/0.73 (define @t334 () (not @t313)) % 0.35/0.73 (define @t335 () (@list @t313)) % 0.35/0.73 (define @t336 () (not (tptp.lt @t298 @t92))) % 0.35/0.73 (define @t337 () (not (tptp.memberP @t299 @t92))) % 0.35/0.73 (define @t338 () (not (tptp.memberP @t300 @t92))) % 0.35/0.73 (define @t339 () (tptp.leq @t298 @t92)) % 0.35/0.73 (define @t340 () (or @t97 @t339 @t338 @t337 @t336)) % 0.35/0.73 (define @t341 () (or @t97 @t338 @t337 @t336 @t339)) % 0.35/0.73 (define @t342 () (forall @t98 @t341)) % 0.35/0.73 (define @t343 () (forall @t98 @t340)) % 0.35/0.73 (define @t344 () (@list false)) % 0.35/0.73 (define @t345 () (not @t342)) % 0.35/0.73 (define @t346 () (not (= @t303 @t304))) % 0.35/0.73 (define @t347 () (or @t312 @t310 @t308 @t346 @t345)) % 0.35/0.73 (define @t348 () (or @t312 @t310 @t308 @t306 @t345)) % 0.35/0.73 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.35/0.73 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.35/0.73 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 0.35/0.73 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.35/0.73 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.35/0.73 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.35/0.73 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.35/0.73 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 0.35/0.73 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 0.35/0.73 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 0.35/0.73 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.35/0.73 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.35/0.73 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 0.35/0.73 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 0.35/0.73 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.35/0.73 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.35/0.73 (assume @p17 (tptp.ssList tptp.nil)) % 0.35/0.73 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.35/0.73 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t38))))))))))) % 0.35/0.73 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.35/0.73 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.35/0.73 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.35/0.73 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.35/0.73 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.35/0.73 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.35/0.73 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.35/0.73 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.35/0.73 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.35/0.73 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.35/0.73 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.35/0.73 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.35/0.73 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.35/0.73 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.35/0.73 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.35/0.73 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.35/0.73 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 0.35/0.73 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.35/0.73 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.35/0.73 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.35/0.73 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.35/0.73 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.35/0.73 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.35/0.73 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.35/0.73 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 0.35/0.73 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.35/0.73 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.35/0.73 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.35/0.73 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.35/0.73 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.35/0.73 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1))))))))) % 0.35/0.73 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.35/0.73 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 0.35/0.73 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.35/0.73 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.35/0.73 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.35/0.73 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1))))))))))) % 0.35/0.73 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.35/0.73 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 0.35/0.73 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55)))) % 0.35/0.73 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.35/0.73 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55)))) % 0.35/0.73 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.35/0.73 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55)))) % 0.35/0.73 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.35/0.73 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55)))) % 0.35/0.73 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.35/0.73 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56))))))))) % 0.35/0.73 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55)))) % 0.35/0.73 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.35/0.73 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t59) (or @t57 (and @t58 (tptp.strictorderedP @t1) (tptp.lt @t2 @t56))))))))) % 0.35/0.73 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t55)))) % 0.35/0.73 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.35/0.73 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t55)))) % 0.35/0.73 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.35/0.73 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 0.35/0.73 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 0.35/0.73 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t58 @t42 (= @t56 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 0.35/0.73 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 0.35/0.73 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t60)))))))) % 0.35/0.73 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t60)))))))) % 0.35/0.73 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.35/0.73 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 0.35/0.73 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t57 @t40))))))) % 0.35/0.73 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.35/0.73 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 0.35/0.73 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 0.35/0.73 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 0.35/0.73 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.35/0.73 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.35/0.73 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.35/0.73 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 0.35/0.73 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 0.35/0.73 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47))))))) % 0.35/0.73 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 0.35/0.73 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.35/0.73 (assume @p96 @t123) % 0.35/0.73 (assume @p97 true) % 0.35/0.73 (step @p98 :rule quant-merge-prenex :args ((= (forall @t9 @t147) @t145))) % 0.35/0.73 (step @p99 :rule alpha_equiv :args (@t148 (@list @t124 @t126 @t125) @t152)) % 0.35/0.73 (step @p100 :rule quant-unused-vars :args ((= @t153 @t130))) % 0.35/0.73 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t154)) % 0.35/0.73 (step @p102 :rule quant-miniscope-and :args ((= @t155 @t154))) % 0.35/0.73 (step @p103 :rule trans :premises (@p102 @p101)) % 0.35/0.73 (step @p104 :rule refl :args (@t142)) % 0.35/0.73 (step @p105 :rule refl :args (@t129)) % 0.35/0.73 (step @p106 :rule refl :args (@t143)) % 0.35/0.73 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p103) :args (@t156)) % 0.35/0.73 (step @p108 :rule quant-miniscope-or :args ((= @t147 @t156))) % 0.35/0.73 (step @p109 :rule trans :premises (@p108 @p107)) % 0.35/0.73 (step @p110 :rule symm :premises (@p109)) % 0.35/0.73 (step @p111 :rule cong :premises (@p110) :args (@t159)) % 0.35/0.73 (step @p112 :rule trans :premises (@p111 @p98)) % 0.35/0.73 (step @p113 :rule refl :args (@t161)) % 0.35/0.73 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t162)) % 0.35/0.73 (step @p115 :rule quant-miniscope-or :args ((= (forall @t9 @t163) @t162))) % 0.35/0.73 (step @p116 :rule aci_norm :args ((= @t164 @t163))) % 0.35/0.73 (step @p117 :rule cong :premises (@p116) :args ((forall @t9 @t164))) % 0.35/0.73 (step @p118 :rule trans :premises (@p117 @p115)) % 0.35/0.73 (step @p119 :rule trans :premises (@p118 @p114)) % 0.35/0.73 (step @p120 :rule aci_norm :args ((= (or @t143 @t165) @t164))) % 0.35/0.73 (step @p121 :rule bool-impl-elim :args (@t17 @t165)) % 0.35/0.73 (step @p122 :rule trans :premises (@p121 @p120)) % 0.35/0.73 (step @p123 :rule cong :premises (@p122) :args ((forall @t9 (=> @t17 @t165)))) % 0.35/0.73 (step @p124 :rule trans :premises (@p123 @p119)) % 0.35/0.73 (step @p125 :rule quant-miniscope-or :args ((= (forall @t7 @t166) @t165))) % 0.35/0.73 (step @p126 :rule aci_norm :args ((= @t167 @t166))) % 0.35/0.73 (step @p127 :rule cong :premises (@p126) :args ((forall @t7 @t167))) % 0.35/0.73 (step @p128 :rule trans :premises (@p127 @p125)) % 0.35/0.73 (step @p129 :rule aci_norm :args ((= (or @t160 @t168) @t167))) % 0.35/0.73 (step @p130 :rule bool-impl-elim :args (@t21 @t168)) % 0.35/0.73 (step @p131 :rule trans :premises (@p130 @p129)) % 0.35/0.73 (step @p132 :rule cong :premises (@p131) :args ((forall @t7 (=> @t21 @t168)))) % 0.35/0.73 (step @p133 :rule trans :premises (@p132 @p128)) % 0.35/0.73 (step @p134 :rule aci_norm :args ((= (or @t129 @t142 @t160 (or @t143 @t157)) @t168))) % 0.35/0.73 (step @p135 :rule alpha_equiv :args (@t179 @t180 @t152)) % 0.35/0.73 (step @p136 :rule quant-unused-vars :args ((= @t181 @t130))) % 0.35/0.73 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t182)) % 0.35/0.73 (step @p138 :rule quant-miniscope-and :args ((= @t184 @t182))) % 0.35/0.73 (step @p139 :rule trans :premises (@p138 @p137)) % 0.35/0.73 (step @p140 :rule refl :args (@t143)) % 0.35/0.73 (step @p141 :rule nary_cong :premises (@p140 @p139) :args (@t185)) % 0.35/0.73 (step @p142 :rule quant-miniscope-or :args ((= (forall @t178 @t186) @t185))) % 0.35/0.73 (step @p143 :rule trans :premises (@p142 @p141)) % 0.35/0.73 (step @p144 :rule aci_norm :args ((= (or @t143 false @t183) @t186))) % 0.35/0.73 (step @p145 :rule refl :args (@t183)) % 0.35/0.73 (step @p146 :rule evaluate :args ((not true))) % 0.35/0.73 (step @p147 :rule eq-refl :args (@t2)) % 0.35/0.73 (step @p148 :rule cong :premises (@p147) :args (@t187)) % 0.35/0.73 (step @p149 :rule trans :premises (@p148 @p146)) % 0.35/0.73 (step @p150 :rule nary_cong :premises (@p140 @p149 @p145) :args (@t188)) % 0.35/0.73 (step @p151 :rule trans :premises (@p150 @p144)) % 0.35/0.73 (step @p152 :rule cong :premises (@p151) :args ((forall @t178 @t188))) % 0.35/0.73 (step @p153 :rule trans :premises (@p152 @p143)) % 0.35/0.73 (step @p154 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t60) @t192 @t112 @t191)) @t188))) % 0.35/0.73 (step @p155 :rule refl :args (@t191)) % 0.35/0.73 (step @p156 :rule refl :args (@t112)) % 0.35/0.73 (step @p157 :rule refl :args (@t192)) % 0.35/0.73 (step @p158 :rule eq-symm :args (@t2 @t12)) % 0.35/0.73 (step @p159 :rule cong :premises (@p158) :args (@t112)) % 0.35/0.73 (step @p160 :rule nary_cong :premises (@p159 @p157 @p156 @p155) :args (@t193)) % 0.35/0.73 (step @p161 :rule aci_norm :args ((= @t194 @t193))) % 0.35/0.73 (step @p162 :rule trans :premises (@p161 @p160)) % 0.35/0.73 (step @p163 :rule cong :premises (@p162) :args (@t195)) % 0.35/0.73 (step @p164 :rule trans :premises (@p163 @p154)) % 0.35/0.73 (step @p165 :rule cong :premises (@p164) :args (@t196)) % 0.35/0.73 (step @p166 :rule quant-merge-prenex :args ((= @t196 @t197))) % 0.35/0.73 (step @p167 :rule symm :premises (@p166)) % 0.35/0.73 (step @p168 :rule quant_var_reordering :args ((= @t198 @t197))) % 0.35/0.73 (step @p169 :rule trans :premises (@p168 @p167 @p165)) % 0.35/0.73 (step @p170 :rule trans :premises (@p169 @p153)) % 0.35/0.73 (step @p171 :rule quant-merge-prenex :args ((= (forall @t16 @t199) @t198))) % 0.35/0.73 (step @p172 :rule alpha_equiv :args (@t200 @t180 (@list @t62 @t202 @t201))) % 0.35/0.73 (step @p173 :rule quant-unused-vars :args ((= @t203 @t190))) % 0.35/0.73 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t204)) % 0.35/0.73 (step @p175 :rule quant-miniscope-and :args ((= @t205 @t204))) % 0.35/0.73 (step @p176 :rule trans :premises (@p175 @p174)) % 0.35/0.73 (step @p177 :rule nary_cong :premises (@p157 @p156 @p176) :args (@t206)) % 0.35/0.73 (step @p178 :rule quant-miniscope-or :args ((= @t199 @t206))) % 0.35/0.73 (step @p179 :rule trans :premises (@p178 @p177)) % 0.35/0.73 (step @p180 :rule symm :premises (@p179)) % 0.35/0.73 (step @p181 :rule cong :premises (@p180) :args (@t217)) % 0.35/0.73 (step @p182 :rule trans :premises (@p181 @p171)) % 0.35/0.73 (step @p183 :rule trans :premises (@p182 @p170)) % 0.35/0.73 (step @p184 :rule refl :args (@t160)) % 0.35/0.73 (step @p185 :rule refl :args (@t142)) % 0.35/0.73 (step @p186 :rule refl :args (@t129)) % 0.35/0.73 (step @p187 :rule nary_cong :premises (@p186 @p185 @p184 @p183) :args (@t218)) % 0.35/0.73 (step @p188 :rule trans :premises (@p187 @p134)) % 0.35/0.73 (step @p189 :rule quant-miniscope-or :args ((= (forall @t16 @t219) @t218))) % 0.35/0.73 (step @p190 :rule aci_norm :args ((= @t220 @t219))) % 0.35/0.73 (step @p191 :rule cong :premises (@p190) :args ((forall @t16 @t220))) % 0.35/0.73 (step @p192 :rule trans :premises (@p191 @p189)) % 0.35/0.73 (step @p193 :rule trans :premises (@p192 @p188)) % 0.35/0.73 (step @p194 :rule aci_norm :args ((= (or @t192 @t221) @t220))) % 0.35/0.73 (step @p195 :rule bool-impl-elim :args (@t15 @t221)) % 0.35/0.73 (step @p196 :rule trans :premises (@p195 @p194)) % 0.35/0.73 (step @p197 :rule cong :premises (@p196) :args ((forall @t16 (=> @t15 @t221)))) % 0.35/0.73 (step @p198 :rule trans :premises (@p197 @p193)) % 0.35/0.73 (step @p199 :rule aci_norm :args ((= (or @t160 false) @t160))) % 0.35/0.73 (step @p200 :rule eq-refl :args (@t1)) % 0.35/0.73 (step @p201 :rule cong :premises (@p200) :args (@t222)) % 0.35/0.73 (step @p202 :rule trans :premises (@p201 @p146)) % 0.35/0.73 (step @p203 :rule nary_cong :premises (@p184 @p202) :args (@t223)) % 0.35/0.73 (step @p204 :rule trans :premises (@p203 @p199)) % 0.35/0.73 (step @p205 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t114 @t113)) @t223))) % 0.35/0.73 (step @p206 :rule refl :args (@t113)) % 0.35/0.73 (step @p207 :rule refl :args (@t114)) % 0.35/0.73 (step @p208 :rule eq-symm :args (@t1 @t10)) % 0.35/0.73 (step @p209 :rule cong :premises (@p208) :args (@t113)) % 0.35/0.73 (step @p210 :rule nary_cong :premises (@p209 @p207 @p206) :args (@t224)) % 0.35/0.73 (step @p211 :rule aci_norm :args ((= @t225 @t224))) % 0.35/0.73 (step @p212 :rule trans :premises (@p211 @p210)) % 0.35/0.73 (step @p213 :rule cong :premises (@p212) :args (@t226)) % 0.35/0.73 (step @p214 :rule trans :premises (@p213 @p205)) % 0.35/0.73 (step @p215 :rule trans :premises (@p214 @p204)) % 0.35/0.73 (step @p216 :rule refl :args (@t215)) % 0.35/0.73 (step @p217 :rule refl :args (@t112)) % 0.35/0.73 (step @p218 :rule nary_cong :premises (@p217 @p186 @p185 @p216 @p215) :args (@t227)) % 0.35/0.73 (step @p219 :rule quant-miniscope-or :args ((= (forall @t14 @t228) @t227))) % 0.35/0.73 (step @p220 :rule aci_norm :args ((= @t229 @t228))) % 0.35/0.73 (step @p221 :rule cong :premises (@p220) :args ((forall @t14 @t229))) % 0.35/0.73 (step @p222 :rule trans :premises (@p221 @p219)) % 0.35/0.73 (step @p223 :rule trans :premises (@p222 @p218)) % 0.35/0.73 (step @p224 :rule aci_norm :args ((= @t231 @t213))) % 0.35/0.73 (step @p225 :rule cong :premises (@p224) :args (@t232)) % 0.35/0.73 (step @p226 :rule quant-merge-prenex :args ((= (forall @t88 @t234) @t232))) % 0.35/0.73 (step @p227 :rule alpha_equiv :args (@t235 (@list @t202 @t201) (@list @t66 @t236))) % 0.35/0.73 (step @p228 :rule refl :args (@t212)) % 0.35/0.73 (step @p229 :rule nary_cong :premises (@p228 @p227) :args (@t237)) % 0.35/0.74 (step @p230 :rule quant-miniscope-or :args ((= @t234 @t237))) % 0.35/0.74 (step @p231 :rule trans :premises (@p230 @p229)) % 0.35/0.74 (step @p232 :rule symm :premises (@p231)) % 0.35/0.74 (step @p233 :rule cong :premises (@p232) :args ((forall @t88 (or @t212 @t245)))) % 0.35/0.74 (step @p234 :rule trans :premises (@p233 @p226)) % 0.35/0.74 (step @p235 :rule trans :premises (@p234 @p225)) % 0.35/0.74 (step @p236 :rule bool-impl-elim :args (@t86 @t245)) % 0.35/0.74 (step @p237 :rule cong :premises (@p236) :args ((forall @t88 (=> @t86 @t245)))) % 0.35/0.74 (step @p238 :rule trans :premises (@p237 @p235)) % 0.35/0.74 (step @p239 :rule aci_norm :args ((= @t247 @t243))) % 0.35/0.74 (step @p240 :rule cong :premises (@p239) :args (@t248)) % 0.35/0.74 (step @p241 :rule quant-merge-prenex :args ((= (forall @t84 @t250) @t248))) % 0.35/0.74 (step @p242 :rule alpha_equiv :args (@t251 (@list @t236) (@list @t64))) % 0.35/0.74 (step @p243 :rule refl :args (@t242)) % 0.35/0.74 (step @p244 :rule nary_cong :premises (@p243 @p242) :args (@t252)) % 0.35/0.74 (step @p245 :rule quant-miniscope-or :args ((= @t250 @t252))) % 0.35/0.74 (step @p246 :rule trans :premises (@p245 @p244)) % 0.35/0.74 (step @p247 :rule symm :premises (@p246)) % 0.35/0.74 (step @p248 :rule cong :premises (@p247) :args ((forall @t84 (or @t242 @t254)))) % 0.35/0.74 (step @p249 :rule trans :premises (@p248 @p241)) % 0.35/0.74 (step @p250 :rule trans :premises (@p249 @p240)) % 0.35/0.74 (step @p251 :rule bool-impl-elim :args (@t82 @t254)) % 0.35/0.74 (step @p252 :rule cong :premises (@p251) :args ((forall @t84 (=> @t82 @t254)))) % 0.35/0.74 (step @p253 :rule trans :premises (@p252 @p250)) % 0.35/0.74 (step @p254 :rule refl :args (@t207)) % 0.35/0.74 (step @p255 :rule refl :args (@t253)) % 0.35/0.74 (step @p256 :rule refl :args (@t238)) % 0.35/0.74 (step @p257 :rule bool-double-not-elim :args (@t68)) % 0.35/0.74 (step @p258 :rule refl :args (@t127)) % 0.35/0.74 (step @p259 :rule nary_cong :premises (@p258 @p257 @p256 @p255 @p254) :args (@t256)) % 0.35/0.74 (step @p260 :rule aci_norm :args ((= (or @t127 (or @t255 (or @t238 (or @t253 @t207)))) @t256))) % 0.35/0.74 (step @p261 :rule trans :premises (@p260 @p259)) % 0.35/0.74 (step @p262 :rule bool-and-de-morgan :args (@t65 @t63 true)) % 0.35/0.74 (step @p263 :rule nary_cong :premises (@p256 @p262) :args ((or @t238 (not (and @t65 @t63))))) % 0.35/0.74 (step @p264 :rule bool-and-de-morgan :args (@t67 @t65 (and @t63))) % 0.35/0.74 (step @p265 :rule trans :premises (@p264 @p263)) % 0.35/0.74 (step @p266 :rule refl :args (@t255)) % 0.35/0.74 (step @p267 :rule nary_cong :premises (@p266 @p265) :args ((or @t255 (not (and @t67 @t65 @t63))))) % 0.35/0.74 (step @p268 :rule bool-and-de-morgan :args (@t69 @t67 (and @t65 @t63))) % 0.35/0.74 (step @p269 :rule trans :premises (@p268 @p267)) % 0.35/0.74 (step @p270 :rule nary_cong :premises (@p258 @p269) :args ((or @t127 (not (and @t69 @t67 @t65 @t63))))) % 0.35/0.74 (step @p271 :rule bool-and-de-morgan :args (@t70 @t69 (and @t67 @t65 @t63))) % 0.35/0.74 (step @p272 :rule trans :premises (@p271 @p270)) % 0.35/0.74 (step @p273 :rule trans :premises (@p272 @p261)) % 0.35/0.74 (step @p274 :rule cong :premises (@p273) :args (@t257)) % 0.35/0.74 (step @p275 :rule cong :premises (@p274) :args (@t258)) % 0.35/0.74 (step @p276 :rule exists-elim :args ((= @t73 @t258))) % 0.35/0.74 (step @p277 :rule trans :premises (@p276 @p275)) % 0.35/0.74 (step @p278 :rule eq-symm :args (@t76 @t12)) % 0.35/0.74 (step @p279 :rule cong :premises (@p278) :args (@t77)) % 0.35/0.74 (step @p280 :rule refl :args (@t78)) % 0.35/0.74 (step @p281 :rule nary_cong :premises (@p280 @p279 @p277) :args (@t79)) % 0.35/0.74 (step @p282 :rule cong :premises (@p281) :args (@t81)) % 0.35/0.74 (step @p283 :rule refl :args (@t82)) % 0.35/0.74 (step @p284 :rule cong :premises (@p283 @p282) :args (@t83)) % 0.35/0.74 (step @p285 :rule cong :premises (@p284) :args (@t85)) % 0.35/0.74 (step @p286 :rule trans :premises (@p285 @p253)) % 0.35/0.74 (step @p287 :rule refl :args (@t86)) % 0.35/0.74 (step @p288 :rule cong :premises (@p287 @p286) :args (@t87)) % 0.35/0.74 (step @p289 :rule cong :premises (@p288) :args (@t89)) % 0.35/0.74 (step @p290 :rule trans :premises (@p289 @p238)) % 0.35/0.74 (step @p291 :rule eq-symm :args (tptp.nil @t12)) % 0.35/0.74 (step @p292 :rule cong :premises (@p291) :args (@t90)) % 0.35/0.74 (step @p293 :rule nary_cong :premises (@p292 @p290) :args (@t91)) % 0.35/0.74 (step @p294 :rule aci_norm :args ((= @t260 @t140))) % 0.35/0.74 (step @p295 :rule cong :premises (@p294) :args (@t261)) % 0.35/0.74 (step @p296 :rule quant-merge-prenex :args ((= (forall @t33 @t263) @t261))) % 0.35/0.74 (step @p297 :rule alpha_equiv :args (@t264 (@list @t133 @t132) (@list @t27 @t265))) % 0.35/0.74 (step @p298 :rule refl :args (@t139)) % 0.35/0.74 (step @p299 :rule nary_cong :premises (@p298 @p297) :args (@t266)) % 0.35/0.74 (step @p300 :rule quant-miniscope-or :args ((= @t263 @t266))) % 0.35/0.74 (step @p301 :rule trans :premises (@p300 @p299)) % 0.35/0.74 (step @p302 :rule symm :premises (@p301)) % 0.35/0.74 (step @p303 :rule cong :premises (@p302) :args ((forall @t33 (or @t139 @t273)))) % 0.35/0.74 (step @p304 :rule trans :premises (@p303 @p296)) % 0.35/0.74 (step @p305 :rule trans :premises (@p304 @p295)) % 0.35/0.74 (step @p306 :rule bool-double-not-elim :args (@t273)) % 0.35/0.74 (step @p307 :rule nary_cong :premises (@p298 @p306) :args ((or @t139 (not @t274)))) % 0.35/0.74 (step @p308 :rule bool-and-de-morgan :args (@t109 @t274 true)) % 0.35/0.74 (step @p309 :rule trans :premises (@p308 @p307)) % 0.35/0.74 (step @p310 :rule cong :premises (@p309) :args (@t276)) % 0.35/0.74 (step @p311 :rule trans :premises (@p310 @p305)) % 0.35/0.74 (step @p312 :rule cong :premises (@p311) :args (@t277)) % 0.35/0.74 (step @p313 :rule exists-elim :args ((= (exists @t33 @t275) @t277))) % 0.35/0.74 (step @p314 :rule trans :premises (@p313 @p312)) % 0.35/0.74 (step @p315 :rule aci_norm :args ((= @t279 @t271))) % 0.35/0.74 (step @p316 :rule cong :premises (@p315) :args (@t280)) % 0.35/0.74 (step @p317 :rule quant-merge-prenex :args ((= (forall @t31 @t282) @t280))) % 0.35/0.74 (step @p318 :rule alpha_equiv :args (@t283 (@list @t265) (@list @t95))) % 0.35/0.74 (step @p319 :rule refl :args (@t270)) % 0.35/0.74 (step @p320 :rule nary_cong :premises (@p319 @p318) :args (@t284)) % 0.35/0.74 (step @p321 :rule quant-miniscope-or :args ((= @t282 @t284))) % 0.35/0.74 (step @p322 :rule trans :premises (@p321 @p320)) % 0.35/0.74 (step @p323 :rule symm :premises (@p322)) % 0.35/0.74 (step @p324 :rule cong :premises (@p323) :args ((forall @t31 (or @t270 @t290)))) % 0.35/0.74 (step @p325 :rule trans :premises (@p324 @p317)) % 0.35/0.74 (step @p326 :rule trans :premises (@p325 @p316)) % 0.35/0.74 (step @p327 :rule bool-double-not-elim :args (@t290)) % 0.35/0.74 (step @p328 :rule nary_cong :premises (@p319 @p327) :args ((or @t270 (not @t291)))) % 0.35/0.74 (step @p329 :rule bool-and-de-morgan :args (@t30 @t291 true)) % 0.35/0.74 (step @p330 :rule trans :premises (@p329 @p328)) % 0.35/0.74 (step @p331 :rule cong :premises (@p330) :args (@t293)) % 0.35/0.74 (step @p332 :rule trans :premises (@p331 @p326)) % 0.35/0.74 (step @p333 :rule cong :premises (@p332) :args (@t294)) % 0.35/0.74 (step @p334 :rule exists-elim :args ((= (exists @t31 @t292) @t294))) % 0.35/0.74 (step @p335 :rule trans :premises (@p334 @p333)) % 0.35/0.74 (step @p336 :rule aci_norm :args ((= (or @t288 (or @t287 @t285)) @t289))) % 0.35/0.74 (step @p337 :rule bool-and-de-morgan :args (@t286 @t99 true)) % 0.35/0.74 (step @p338 :rule refl :args (@t288)) % 0.35/0.74 (step @p339 :rule nary_cong :premises (@p338 @p337) :args ((or @t288 (not (and @t286 @t99))))) % 0.35/0.74 (step @p340 :rule bool-and-de-morgan :args (@t103 @t286 (and @t99))) % 0.35/0.74 (step @p341 :rule trans :premises (@p340 @p339)) % 0.35/0.74 (step @p342 :rule trans :premises (@p341 @p336)) % 0.35/0.74 (step @p343 :rule cong :premises (@p342) :args (@t296)) % 0.35/0.74 (step @p344 :rule cong :premises (@p343) :args (@t297)) % 0.35/0.74 (step @p345 :rule exists-elim :args ((= (exists @t105 @t295) @t297))) % 0.35/0.74 (step @p346 :rule trans :premises (@p345 @p344)) % 0.35/0.74 (step @p347 :rule refl :args (@t99)) % 0.35/0.74 (step @p348 :rule eq-symm :args (@t102 @t2)) % 0.35/0.74 (step @p349 :rule refl :args (@t103)) % 0.35/0.74 (step @p350 :rule nary_cong :premises (@p349 @p348 @p347) :args (@t104)) % 0.35/0.74 (step @p351 :rule cong :premises (@p350) :args (@t106)) % 0.35/0.74 (step @p352 :rule trans :premises (@p351 @p346)) % 0.35/0.74 (step @p353 :rule refl :args (@t30)) % 0.35/0.74 (step @p354 :rule nary_cong :premises (@p353 @p352) :args (@t107)) % 0.35/0.74 (step @p355 :rule cong :premises (@p354) :args (@t108)) % 0.35/0.74 (step @p356 :rule trans :premises (@p355 @p335)) % 0.35/0.74 (step @p357 :rule refl :args (@t109)) % 0.35/0.74 (step @p358 :rule nary_cong :premises (@p357 @p356) :args (@t110)) % 0.35/0.74 (step @p359 :rule cong :premises (@p358) :args (@t111)) % 0.35/0.74 (step @p360 :rule trans :premises (@p359 @p314)) % 0.35/0.74 (step @p361 :rule eq-symm :args (tptp.nil @t2)) % 0.35/0.74 (step @p362 :rule refl :args (@t113)) % 0.35/0.74 (step @p363 :rule refl :args (@t114)) % 0.35/0.74 (step @p364 :rule nary_cong :premises (@p363 @p362 @p217 @p361 @p360 @p293) :args (@t115)) % 0.35/0.74 (step @p365 :rule cong :premises (@p364) :args (@t116)) % 0.35/0.74 (step @p366 :rule trans :premises (@p365 @p223)) % 0.35/0.74 (step @p367 :rule refl :args (@t15)) % 0.35/0.74 (step @p368 :rule cong :premises (@p367 @p366) :args (@t117)) % 0.35/0.74 (step @p369 :rule cong :premises (@p368) :args (@t118)) % 0.35/0.74 (step @p370 :rule trans :premises (@p369 @p198)) % 0.35/0.74 (step @p371 :rule refl :args (@t21)) % 0.35/0.74 (step @p372 :rule cong :premises (@p371 @p370) :args (@t119)) % 0.35/0.74 (step @p373 :rule cong :premises (@p372) :args (@t120)) % 0.35/0.74 (step @p374 :rule trans :premises (@p373 @p133)) % 0.35/0.74 (step @p375 :rule refl :args (@t17)) % 0.35/0.74 (step @p376 :rule cong :premises (@p375 @p374) :args (@t121)) % 0.35/0.74 (step @p377 :rule cong :premises (@p376) :args (@t122)) % 0.35/0.74 (step @p378 :rule trans :premises (@p377 @p124)) % 0.35/0.74 (step @p379 :rule cong :premises (@p378) :args (@t123)) % 0.35/0.74 (step @p380 :rule eq_resolve :premises (@p96 @p379)) % 0.35/0.74 (step @p381 :rule not_or_elim :premises (@p380) :args (1)) % 0.35/0.74 (step @p382 :rule refl :args (@t321)) % 0.35/0.74 (step @p383 :rule bool-double-not-elim :args (@t145)) % 0.35/0.74 (step @p384 :rule nary_cong :premises (@p383 @p382) :args ((or (not @t322) @t321))) % 0.35/0.74 (step @p385 :rule refl :args (@t313)) % 0.35/0.74 (step @p386 :rule eq-symm :args (@t304 tptp.nil)) % 0.35/0.74 (step @p387 :rule cong :premises (@p386) :args (@t324)) % 0.35/0.74 (step @p388 :rule nary_cong :premises (@p387 @p385) :args (@t325)) % 0.35/0.74 (step @p389 :rule refl :args (@t134)) % 0.35/0.74 (step @p390 :rule eq-symm :args (@t304 @t135)) % 0.35/0.74 (step @p391 :rule cong :premises (@p390) :args (@t326)) % 0.35/0.74 (step @p392 :rule refl :args (@t137)) % 0.35/0.74 (step @p393 :rule refl :args (@t138)) % 0.35/0.74 (step @p394 :rule refl :args (@t139)) % 0.35/0.74 (step @p395 :rule nary_cong :premises (@p394 @p393 @p392 @p391 @p389) :args (@t327)) % 0.35/0.74 (step @p396 :rule cong :premises (@p395) :args (@t328)) % 0.35/0.74 (step @p397 :rule cong :premises (@p396) :args (@t329)) % 0.35/0.74 (step @p398 :rule refl :args (@t319)) % 0.35/0.74 (step @p399 :rule nary_cong :premises (@p398 @p386 @p397 @p388) :args (@t330)) % 0.35/0.74 (step @p400 :rule cong :premises (@p399) :args (@t331)) % 0.35/0.74 (step @p401 :rule refl :args (@t322)) % 0.35/0.74 (step @p402 :rule cong :premises (@p401 @p400) :args ((=> @t322 @t331))) % 0.35/0.74 (assume-push @p493 @t322) % 0.35/0.74 (step @p404 :rule skolemize :premises (@p381)) % 0.35/0.74 (step-pop @p494 :rule scope :premises (@p404)) % 0.35/0.74 (step @p405 :rule process_scope :premises (@p494) :args (@t331)) % 0.35/0.74 (step @p407 :rule eq_resolve :premises (@p405 @p402)) % 0.35/0.74 (step @p408 :rule implies_elim :premises (@p407)) % 0.35/0.74 (step @p409 :rule eq_resolve :premises (@p408 @p384)) % 0.35/0.74 (step @p410 :rule chain_m_resolution :premises (@p409 @p381) :args (@t321 @t332 (@list @t145))) % 0.35/0.74 (step @p411 :rule cnf_or_neg :args (@t320 3)) % 0.35/0.74 (step @p412 :rule chain_m_resolution :premises (@p411 @p410) :args ((not @t316) @t332 @t333)) % 0.35/0.74 (step @p413 :rule cnf_or_neg :args (@t320 1)) % 0.35/0.74 (step @p414 :rule reordering :premises (@p413) :args ((or @t315 @t320))) % 0.35/0.74 (step @p415 :rule chain_m_resolution :premises (@p414 @p410) :args (@t315 @t332 @t333)) % 0.35/0.74 (step @p416 :rule refl :args (@t334)) % 0.35/0.74 (step @p417 :rule bool-double-not-elim :args (@t314)) % 0.35/0.74 (step @p418 :rule refl :args (@t316)) % 0.35/0.74 (step @p419 :rule nary_cong :premises (@p418 @p417 @p416) :args ((or @t316 (not @t315) @t334))) % 0.35/0.74 (step @p420 :rule cnf_and_neg :args (@t316)) % 0.35/0.74 (step @p421 :rule eq_resolve :premises (@p420 @p419)) % 0.35/0.74 (step @p422 :rule reordering :premises (@p421) :args ((or @t314 @t316 @t334))) % 0.35/0.74 (step @p423 :rule chain_m_resolution :premises (@p422 @p415 @p412) :args (@t334 (@list true true) (@list @t314 @t316))) % 0.35/0.74 (step @p424 :rule bool-double-not-elim :args (@t311)) % 0.35/0.74 (step @p425 :rule nary_cong :premises (@p385 @p424) :args ((or @t313 (not @t312)))) % 0.35/0.74 (step @p426 :rule cnf_or_neg :args (@t313 0)) % 0.35/0.74 (step @p427 :rule eq_resolve :premises (@p426 @p425)) % 0.35/0.74 (step @p428 :rule reordering :premises (@p427) :args ((or @t311 @t313))) % 0.35/0.74 (step @p429 :rule chain_m_resolution :premises (@p428 @p423) :args (@t311 @t332 @t335)) % 0.35/0.74 (step @p430 :rule bool-double-not-elim :args (@t309)) % 0.35/0.74 (step @p431 :rule nary_cong :premises (@p385 @p430) :args ((or @t313 (not @t310)))) % 0.35/0.74 (step @p432 :rule cnf_or_neg :args (@t313 1)) % 0.35/0.74 (step @p433 :rule eq_resolve :premises (@p432 @p431)) % 0.35/0.74 (step @p434 :rule reordering :premises (@p433) :args ((or @t309 @t313))) % 0.35/0.74 (step @p435 :rule chain_m_resolution :premises (@p434 @p423) :args (@t309 @t332 @t335)) % 0.35/0.74 (step @p436 :rule bool-double-not-elim :args (@t307)) % 0.35/0.74 (step @p437 :rule nary_cong :premises (@p385 @p436) :args ((or @t313 (not @t308)))) % 0.35/0.74 (step @p438 :rule cnf_or_neg :args (@t313 2)) % 0.35/0.74 (step @p439 :rule eq_resolve :premises (@p438 @p437)) % 0.35/0.74 (step @p440 :rule reordering :premises (@p439) :args ((or @t307 @t313))) % 0.35/0.74 (step @p441 :rule chain_m_resolution :premises (@p440 @p423) :args (@t307 @t332 @t335)) % 0.35/0.74 (step @p442 :rule bool-double-not-elim :args (@t305)) % 0.35/0.74 (step @p443 :rule nary_cong :premises (@p385 @p442) :args ((or @t313 (not @t306)))) % 0.35/0.74 (step @p444 :rule cnf_or_neg :args (@t313 3)) % 0.35/0.74 (step @p445 :rule eq_resolve :premises (@p444 @p443)) % 0.35/0.74 (step @p446 :rule reordering :premises (@p445) :args ((or @t305 @t313))) % 0.35/0.74 (step @p447 :rule chain_m_resolution :premises (@p446 @p423) :args (@t305 @t332 @t335)) % 0.35/0.74 (step @p448 :rule bool-double-not-elim :args (@t301)) % 0.35/0.74 (step @p449 :rule nary_cong :premises (@p385 @p448) :args ((or @t313 (not @t302)))) % 0.35/0.74 (step @p450 :rule cnf_or_neg :args (@t313 4)) % 0.35/0.74 (step @p451 :rule eq_resolve :premises (@p450 @p449)) % 0.35/0.74 (step @p452 :rule reordering :premises (@p451) :args ((or @t301 @t313))) % 0.35/0.74 (step @p453 :rule chain_m_resolution :premises (@p452 @p423) :args (@t301 @t332 @t335)) % 0.35/0.74 (step @p454 :rule aci_norm :args ((= @t341 @t340))) % 0.35/0.74 (step @p455 :rule cong :premises (@p454) :args (@t342)) % 0.35/0.74 (step @p456 :rule symm :premises (@p455)) % 0.35/0.74 (step @p457 :rule true_intro :premises (@p456)) % 0.35/0.74 (step @p458 :rule eq-symm :args (@t342 @t343)) % 0.35/0.74 (step @p459 :rule trans :premises (@p458 @p457)) % 0.35/0.74 (step @p460 :rule cong :premises (@p456 @p455) :args ((= @t343 @t342))) % 0.35/0.74 (step @p461 :rule trans :premises (@p460 @p459)) % 0.35/0.74 (step @p462 :rule true_elim :premises (@p461)) % 0.35/0.74 (step @p463 :rule alpha_equiv :args (@t301 (@list @t61) (@list @t92))) % 0.35/0.74 (step @p464 :rule trans :premises (@p463 @p462)) % 0.35/0.74 (step @p465 :rule equiv_elim1 :premises (@p464)) % 0.35/0.74 (step @p466 :rule chain_m_resolution :premises (@p465 @p453) :args (@t342 @t344 (@list @t301))) % 0.35/0.74 (step @p467 :rule bool-double-not-elim :args (@t317)) % 0.35/0.74 (step @p468 :rule refl :args (@t320)) % 0.35/0.74 (step @p469 :rule nary_cong :premises (@p468 @p467) :args ((or @t320 (not @t318)))) % 0.35/0.74 (step @p470 :rule cnf_or_neg :args (@t320 2)) % 0.35/0.74 (step @p471 :rule eq_resolve :premises (@p470 @p469)) % 0.35/0.74 (step @p472 :rule reordering :premises (@p471) :args ((or @t317 @t320))) % 0.35/0.74 (step @p473 :rule chain_m_resolution :premises (@p472 @p410) :args (@t317 @t332 @t333)) % 0.35/0.74 (step @p474 :rule refl :args (@t345)) % 0.35/0.74 (step @p475 :rule eq-symm :args (@t303 @t304)) % 0.35/0.74 (step @p476 :rule cong :premises (@p475) :args (@t346)) % 0.35/0.74 (step @p477 :rule refl :args (@t308)) % 0.35/0.74 (step @p478 :rule refl :args (@t310)) % 0.35/0.74 (step @p479 :rule refl :args (@t312)) % 0.35/0.74 (step @p480 :rule nary_cong :premises (@p479 @p478 @p477 @p476 @p474) :args (@t347)) % 0.35/0.74 (step @p481 :rule refl :args (@t317)) % 0.35/0.74 (step @p482 :rule cong :premises (@p481 @p480) :args ((=> @t317 @t347))) % 0.35/0.74 (assume-push @p495 @t317) % 0.35/0.74 (step @p484 :rule instantiate :premises (@p473) :args ((@list @t298 @t300 @t299))) % 0.35/0.74 (step-pop @p496 :rule scope :premises (@p484)) % 0.35/0.74 (step @p485 :rule process_scope :premises (@p496) :args (@t347)) % 0.35/0.74 (step @p487 :rule eq_resolve :premises (@p485 @p482)) % 0.35/0.74 (step @p488 :rule implies_elim :premises (@p487)) % 0.35/0.74 (step @p489 :rule chain_m_resolution :premises (@p488 @p473) :args (@t348 @t344 (@list @t317))) % 0.35/0.74 (step @p490 :rule cnf_or_pos :args (@t348)) % 0.35/0.74 (step @p491 :rule reordering :premises (@p490) :args ((or @t312 @t310 @t308 @t306 @t345 (not @t348)))) % 0.35/0.74 (step @p492 false :rule chain_m_resolution :premises (@p491 @p489 @p466 @p447 @p441 @p435 @p429) :args (false (@list false false false false false false) (@list @t348 @t342 @t305 @t307 @t309 @t311))) % 0.35/0.74 ) % 0.35/0.74 % SZS output end Proof % 0.35/0.74 % cvc5 exiting %------------------------------------------------------------------------------