%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC057+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:57:52 AM UTC 2026 % Result : Theorem 34.32s 34.62s % Output : Proof 34.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC057+1 : TPTP v9.2.1. Released v2.4.0. % 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 : n005.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 : Tue Jun 2 19:11:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 34.32/34.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.32/34.62 --- Run --no-e-matching --full-saturate-quant at 6... % 34.32/34.62 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.32/34.62 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.32/34.62 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.32/34.62 % SZS status Theorem % 34.32/34.62 % SZS output start Proof % 34.32/34.62 ( % 34.32/34.62 (declare-sort $$unsorted 0) % 34.32/34.62 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 34.32/34.62 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 34.32/34.62 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 34.32/34.62 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 34.32/34.62 (declare-const tptp.nil $$unsorted) % 34.32/34.62 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.ssList (-> $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 34.32/34.62 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 34.32/34.62 (define @t1 () (@var "V" $$unsorted)) % 34.32/34.62 (define @t2 () (@var "U" $$unsorted)) % 34.32/34.62 (define @t3 () (= @t2 @t1)) % 34.32/34.62 (define @t4 () (not @t3)) % 34.32/34.62 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 34.32/34.62 (define @t6 () (tptp.ssItem @t1)) % 34.32/34.62 (define @t7 () (@list @t1)) % 34.32/34.62 (define @t8 () (tptp.ssItem @t2)) % 34.32/34.62 (define @t9 () (@list @t2)) % 34.32/34.62 (define @t10 () (@var "X" $$unsorted)) % 34.32/34.62 (define @t11 () (tptp.cons @t1 @t10)) % 34.32/34.62 (define @t12 () (@var "W" $$unsorted)) % 34.32/34.62 (define @t13 () (tptp.ssList @t10)) % 34.32/34.62 (define @t14 () (@list @t10)) % 34.32/34.62 (define @t15 () (tptp.ssList @t12)) % 34.32/34.62 (define @t16 () (@list @t12)) % 34.32/34.62 (define @t17 () (tptp.ssList @t2)) % 34.32/34.62 (define @t18 () (tptp.cons @t1 tptp.nil)) % 34.32/34.62 (define @t19 () (tptp.app @t1 @t12)) % 34.32/34.62 (define @t20 () (and @t15 (= @t19 @t2))) % 34.32/34.62 (define @t21 () (exists @t16 @t20)) % 34.32/34.62 (define @t22 () (tptp.frontsegP @t2 @t1)) % 34.32/34.62 (define @t23 () (= @t22 @t21)) % 34.32/34.62 (define @t24 () (tptp.ssList @t1)) % 34.32/34.62 (define @t25 () (=> @t24 @t23)) % 34.32/34.62 (define @t26 () (forall @t7 @t25)) % 34.32/34.62 (define @t27 () (=> @t17 @t26)) % 34.32/34.62 (define @t28 () (forall @t9 @t27)) % 34.32/34.62 (define @t29 () (tptp.app @t12 @t1)) % 34.32/34.62 (define @t30 () (tptp.rearsegP @t2 @t1)) % 34.32/34.62 (define @t31 () (tptp.segmentP @t2 @t1)) % 34.32/34.62 (define @t32 () (tptp.leq @t12 @t1)) % 34.32/34.62 (define @t33 () (tptp.leq @t1 @t12)) % 34.32/34.62 (define @t34 () (@var "Z" $$unsorted)) % 34.32/34.62 (define @t35 () (@var "Y" $$unsorted)) % 34.32/34.62 (define @t36 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t35)) (tptp.cons @t12 @t34)) @t2)) % 34.32/34.62 (define @t37 () (tptp.ssList @t34)) % 34.32/34.62 (define @t38 () (@list @t34)) % 34.32/34.62 (define @t39 () (tptp.ssList @t35)) % 34.32/34.62 (define @t40 () (@list @t35)) % 34.32/34.62 (define @t41 () (tptp.ssItem @t12)) % 34.32/34.62 (define @t42 () (tptp.lt @t1 @t12)) % 34.32/34.62 (define @t43 () (= @t1 @t12)) % 34.32/34.62 (define @t44 () (forall @t7 (=> @t24 @t5))) % 34.32/34.62 (define @t45 () (=> @t17 @t44)) % 34.32/34.62 (define @t46 () (forall @t9 @t45)) % 34.32/34.62 (define @t47 () (tptp.cons @t1 @t2)) % 34.32/34.62 (define @t48 () (tptp.ssList tptp.nil)) % 34.32/34.62 (define @t49 () (= @t1 @t2)) % 34.32/34.62 (define @t50 () (tptp.cons @t12 @t1)) % 34.32/34.62 (define @t51 () (= tptp.nil @t2)) % 34.32/34.62 (define @t52 () (tptp.hd @t2)) % 34.32/34.62 (define @t53 () (not @t51)) % 34.32/34.62 (define @t54 () (tptp.tl @t2)) % 34.32/34.62 (define @t55 () (tptp.app @t2 @t1)) % 34.32/34.62 (define @t56 () (tptp.app @t1 @t2)) % 34.32/34.62 (define @t57 () (tptp.app tptp.nil @t2)) % 34.32/34.62 (define @t58 () (=> @t17 (= @t57 @t2))) % 34.32/34.62 (define @t59 () (forall @t9 @t58)) % 34.32/34.62 (define @t60 () (tptp.leq @t1 @t2)) % 34.32/34.62 (define @t61 () (tptp.leq @t2 @t1)) % 34.32/34.62 (define @t62 () (tptp.geq @t2 @t1)) % 34.32/34.62 (define @t63 () (tptp.lt @t1 @t2)) % 34.32/34.62 (define @t64 () (tptp.lt @t2 @t1)) % 34.32/34.62 (define @t65 () (tptp.lt @t2 @t12)) % 34.32/34.62 (define @t66 () (tptp.gt @t2 @t1)) % 34.32/34.62 (define @t67 () (tptp.memberP @t12 @t2)) % 34.32/34.62 (define @t68 () (tptp.frontsegP @t1 @t12)) % 34.32/34.62 (define @t69 () (tptp.frontsegP @t1 @t2)) % 34.32/34.62 (define @t70 () (tptp.frontsegP tptp.nil @t2)) % 34.32/34.62 (define @t71 () (=> @t17 (= @t70 @t51))) % 34.32/34.62 (define @t72 () (forall @t9 @t71)) % 34.32/34.62 (define @t73 () (tptp.app @t12 @t2)) % 34.32/34.62 (define @t74 () (tptp.segmentP @t2 @t2)) % 34.32/34.62 (define @t75 () (forall @t9 (=> @t17 @t74))) % 34.32/34.62 (define @t76 () (tptp.segmentP (tptp.app @t73 @t10) @t1)) % 34.32/34.62 (define @t77 () (=> @t31 @t76)) % 34.32/34.62 (define @t78 () (forall @t14 (=> @t13 @t77))) % 34.32/34.62 (define @t79 () (=> @t15 @t78)) % 34.32/34.62 (define @t80 () (forall @t16 @t79)) % 34.32/34.62 (define @t81 () (=> @t24 @t80)) % 34.32/34.62 (define @t82 () (forall @t7 @t81)) % 34.32/34.62 (define @t83 () (=> @t17 @t82)) % 34.32/34.62 (define @t84 () (forall @t9 @t83)) % 34.32/34.62 (define @t85 () (tptp.cons @t2 tptp.nil)) % 34.32/34.62 (define @t86 () (tptp.hd @t1)) % 34.32/34.62 (define @t87 () (= tptp.nil @t1)) % 34.32/34.62 (define @t88 () (not @t87)) % 34.32/34.62 (define @t89 () (tptp.cons @t2 @t1)) % 34.32/34.62 (define @t90 () (= @t12 @t2)) % 34.32/34.62 (define @t91 () (not (tptp.neq @t12 tptp.nil))) % 34.32/34.62 (define @t92 () (or @t91 (not (tptp.frontsegP @t10 @t12)))) % 34.32/34.62 (define @t93 () (not (= tptp.nil @t12))) % 34.32/34.62 (define @t94 () (not (= tptp.nil @t10))) % 34.32/34.62 (define @t95 () (or @t94 @t93)) % 34.32/34.62 (define @t96 () (and @t95 @t92)) % 34.32/34.62 (define @t97 () (tptp.segmentP @t2 @t35)) % 34.32/34.62 (define @t98 () (tptp.segmentP @t1 @t35)) % 34.32/34.62 (define @t99 () (tptp.neq @t35 tptp.nil)) % 34.32/34.62 (define @t100 () (and @t39 @t99 @t98 @t97)) % 34.32/34.62 (define @t101 () (exists @t40 @t100)) % 34.32/34.62 (define @t102 () (not (tptp.neq @t1 tptp.nil))) % 34.32/34.62 (define @t103 () (or @t102 @t101)) % 34.32/34.62 (define @t104 () (or @t88 @t51)) % 34.32/34.62 (define @t105 () (and @t104 @t103)) % 34.32/34.62 (define @t106 () (not (= @t2 @t12))) % 34.32/34.62 (define @t107 () (not (= @t1 @t10))) % 34.32/34.62 (define @t108 () (not @t13)) % 34.32/34.62 (define @t109 () (or @t108 @t107 @t106 @t105 @t96)) % 34.32/34.62 (define @t110 () (forall @t14 @t109)) % 34.32/34.62 (define @t111 () (=> @t15 @t110)) % 34.32/34.62 (define @t112 () (forall @t16 @t111)) % 34.32/34.62 (define @t113 () (=> @t24 @t112)) % 34.32/34.62 (define @t114 () (forall @t7 @t113)) % 34.32/34.62 (define @t115 () (=> @t17 @t114)) % 34.32/34.62 (define @t116 () (forall @t9 @t115)) % 34.32/34.62 (define @t117 () (not @t116)) % 34.32/34.62 (define @t118 () (= @t2 @t57)) % 34.32/34.62 (define @t119 () (@var "BOUND_VARIABLE_10990" $$unsorted)) % 34.32/34.62 (define @t120 () (not (tptp.neq @t2 tptp.nil))) % 34.32/34.62 (define @t121 () (or @t120 (not (tptp.frontsegP @t119 @t2)))) % 34.32/34.62 (define @t122 () (= @t2 tptp.nil)) % 34.32/34.62 (define @t123 () (not @t122)) % 34.32/34.62 (define @t124 () (not (= tptp.nil @t119))) % 34.32/34.62 (define @t125 () (not @t97)) % 34.32/34.62 (define @t126 () (not @t99)) % 34.32/34.62 (define @t127 () (not @t39)) % 34.32/34.62 (define @t128 () (or (not (tptp.neq @t119 tptp.nil)) (not (forall @t40 (or @t127 @t126 (not (tptp.segmentP @t119 @t35)) @t125))))) % 34.32/34.62 (define @t129 () (not (tptp.ssList @t119))) % 34.32/34.62 (define @t130 () (not @t17)) % 34.32/34.62 (define @t131 () (@list @t2 @t119)) % 34.32/34.62 (define @t132 () (forall @t131 (or @t130 @t129 (and (or @t124 @t122) @t128) (and (or @t124 @t123) @t121)))) % 34.32/34.62 (define @t133 () (@quantifiers_skolemize @t132 0)) % 34.32/34.62 (define @t134 () (@list @t133)) % 34.32/34.62 (define @t135 () (not (= @t119 tptp.nil))) % 34.32/34.62 (define @t136 () (or @t135 @t123)) % 34.32/34.62 (define @t137 () (and @t136 @t121)) % 34.32/34.62 (define @t138 () (or @t135 @t122)) % 34.32/34.62 (define @t139 () (and @t138 @t128)) % 34.32/34.62 (define @t140 () (or @t130 @t129 @t139 @t137)) % 34.32/34.62 (define @t141 () (or @t129 @t139 @t137)) % 34.32/34.62 (define @t142 () (or @t130 @t141)) % 34.32/34.62 (define @t143 () (forall @t131 @t142)) % 34.32/34.62 (define @t144 () (@list @t119)) % 34.32/34.62 (define @t145 () (forall @t144 @t142)) % 34.32/34.62 (define @t146 () (forall @t144 @t141)) % 34.32/34.62 (define @t147 () (@list @t1)) % 34.32/34.62 (define @t148 () (or @t130 @t146)) % 34.32/34.62 (define @t149 () (not (= @t1 tptp.nil))) % 34.32/34.62 (define @t150 () (and (or @t149 @t123) (or @t120 (not @t69)))) % 34.32/34.62 (define @t151 () (not @t98)) % 34.32/34.62 (define @t152 () (or @t127 @t126 @t151 @t125)) % 34.32/34.62 (define @t153 () (and (or @t149 @t122) (or @t102 (not (forall @t40 @t152))))) % 34.32/34.62 (define @t154 () (not @t24)) % 34.32/34.62 (define @t155 () (or @t154 @t153 @t150)) % 34.32/34.62 (define @t156 () (or @t130 (forall @t7 @t155))) % 34.32/34.62 (define @t157 () (or @t130 @t155)) % 34.32/34.62 (define @t158 () (or @t154 @t153 @t130 @t150)) % 34.32/34.62 (define @t159 () (or @t153 @t154 @t130 @t150)) % 34.32/34.62 (define @t160 () (or @t130 @t150)) % 34.32/34.62 (define @t161 () (not (= @t2 @t2))) % 34.32/34.62 (define @t162 () (or @t130 @t161 @t150)) % 34.32/34.62 (define @t163 () (not (= @t12 tptp.nil))) % 34.32/34.62 (define @t164 () (and (or @t149 @t163) (or @t91 (not @t68)))) % 34.32/34.62 (define @t165 () (not @t15)) % 34.32/34.62 (define @t166 () (or @t106 @t165 @t106 @t164)) % 34.32/34.62 (define @t167 () (or @t165 @t106 @t164)) % 34.32/34.62 (define @t168 () (forall @t16 @t167)) % 34.32/34.62 (define @t169 () (or @t153 @t154 @t168)) % 34.32/34.62 (define @t170 () (or @t153 @t154 @t167)) % 34.32/34.62 (define @t171 () (or @t165 @t106 @t153 @t154 @t164)) % 34.32/34.62 (define @t172 () (or @t106 @t153 @t154 @t164)) % 34.32/34.62 (define @t173 () (or @t154 @t164)) % 34.32/34.62 (define @t174 () (not (= @t1 @t1))) % 34.32/34.62 (define @t175 () (or @t154 @t174 @t164)) % 34.32/34.62 (define @t176 () (and (or (not (= @t10 tptp.nil)) @t163) @t92)) % 34.32/34.62 (define @t177 () (or @t107 @t108 @t107 @t176)) % 34.32/34.62 (define @t178 () (or @t108 @t107 @t176)) % 34.32/34.62 (define @t179 () (forall @t14 @t178)) % 34.32/34.62 (define @t180 () (or @t106 @t153 @t179)) % 34.32/34.62 (define @t181 () (or @t106 @t153 @t178)) % 34.32/34.62 (define @t182 () (or @t108 @t107 @t106 @t153 @t176)) % 34.32/34.62 (define @t183 () (forall @t40 (not @t100))) % 34.32/34.62 (define @t184 () (not @t183)) % 34.32/34.62 (define @t185 () (@quantifiers_skolemize @t132 1)) % 34.32/34.62 (define @t186 () (tptp.frontsegP @t185 @t133)) % 34.32/34.62 (define @t187 () (not @t186)) % 34.32/34.62 (define @t188 () (tptp.neq @t133 tptp.nil)) % 34.32/34.62 (define @t189 () (not @t188)) % 34.32/34.62 (define @t190 () (or @t189 @t187)) % 34.32/34.62 (define @t191 () (= tptp.nil @t133)) % 34.32/34.62 (define @t192 () (not @t191)) % 34.32/34.62 (define @t193 () (= tptp.nil @t185)) % 34.32/34.62 (define @t194 () (not @t193)) % 34.32/34.62 (define @t195 () (or @t194 @t192)) % 34.32/34.62 (define @t196 () (and @t195 @t190)) % 34.32/34.62 (define @t197 () (forall @t40 (or @t127 @t126 (not (tptp.segmentP @t185 @t35)) (not (tptp.segmentP @t133 @t35))))) % 34.32/34.62 (define @t198 () (not @t197)) % 34.32/34.62 (define @t199 () (tptp.neq @t185 tptp.nil)) % 34.32/34.62 (define @t200 () (not @t199)) % 34.32/34.62 (define @t201 () (or @t200 @t198)) % 34.32/34.62 (define @t202 () (or @t194 @t191)) % 34.32/34.62 (define @t203 () (and @t202 @t201)) % 34.32/34.62 (define @t204 () (tptp.ssList @t185)) % 34.32/34.62 (define @t205 () (not @t204)) % 34.32/34.62 (define @t206 () (tptp.ssList @t133)) % 34.32/34.62 (define @t207 () (not @t206)) % 34.32/34.62 (define @t208 () (or @t207 @t205 @t203 @t196)) % 34.32/34.62 (define @t209 () (not @t208)) % 34.32/34.62 (define @t210 () (not @t132)) % 34.32/34.62 (define @t211 () (= @t133 tptp.nil)) % 34.32/34.62 (define @t212 () (not @t211)) % 34.32/34.62 (define @t213 () (or @t194 @t212)) % 34.32/34.62 (define @t214 () (and @t213 @t190)) % 34.32/34.62 (define @t215 () (or @t194 @t211)) % 34.32/34.62 (define @t216 () (and @t215 @t201)) % 34.32/34.62 (define @t217 () (or @t207 @t205 @t216 @t214)) % 34.32/34.62 (define @t218 () (not @t217)) % 34.32/34.62 (define @t219 () (@list true)) % 34.32/34.62 (define @t220 () (@list @t208)) % 34.32/34.62 (define @t221 () (tptp.app tptp.nil @t133)) % 34.32/34.62 (define @t222 () (= @t133 @t221)) % 34.32/34.62 (define @t223 () (or @t207 @t222)) % 34.32/34.62 (define @t224 () (@list false false)) % 34.32/34.62 (define @t225 () (= @t70 @t122)) % 34.32/34.62 (define @t226 () (tptp.frontsegP tptp.nil @t133)) % 34.32/34.62 (define @t227 () (or @t207 (= @t226 @t211))) % 34.32/34.62 (define @t228 () (forall @t9 (or @t130 @t225))) % 34.32/34.62 (define @t229 () (= @t191 @t226)) % 34.32/34.62 (define @t230 () (or @t207 @t229)) % 34.32/34.62 (define @t231 () (@list false)) % 34.32/34.62 (define @t232 () (not @t226)) % 34.32/34.62 (define @t233 () (and @t193 @t232)) % 34.32/34.62 (define @t234 () (@list true false)) % 34.32/34.62 (define @t235 () (tptp.segmentP @t133 @t133)) % 34.32/34.62 (define @t236 () (not @t235)) % 34.32/34.62 (define @t237 () (tptp.segmentP @t185 @t133)) % 34.32/34.62 (define @t238 () (not @t237)) % 34.32/34.62 (define @t239 () (or @t207 @t189 @t238 @t236)) % 34.32/34.62 (define @t240 () (or @t207 @t235)) % 34.32/34.62 (define @t241 () (@var "BOUND_VARIABLE_9107" $$unsorted)) % 34.32/34.62 (define @t242 () (= (tptp.neq @t2 @t241) (not (= @t2 @t241)))) % 34.32/34.62 (define @t243 () (not (tptp.ssList @t241))) % 34.32/34.62 (define @t244 () (or @t130 @t243 @t242)) % 34.32/34.62 (define @t245 () (or @t243 @t242)) % 34.32/34.62 (define @t246 () (or @t130 @t245)) % 34.32/34.62 (define @t247 () (@list @t2 @t241)) % 34.32/34.62 (define @t248 () (forall @t247 @t246)) % 34.32/34.62 (define @t249 () (@list @t241)) % 34.32/34.62 (define @t250 () (forall @t249 @t246)) % 34.32/34.62 (define @t251 () (forall @t249 @t245)) % 34.32/34.62 (define @t252 () (or @t130 @t251)) % 34.32/34.62 (define @t253 () (forall @t7 (or @t154 @t5))) % 34.32/34.62 (define @t254 () (tptp.neq tptp.nil tptp.nil)) % 34.32/34.62 (define @t255 () (not (= tptp.nil tptp.nil))) % 34.32/34.62 (define @t256 () (= @t254 @t255)) % 34.32/34.62 (define @t257 () (not @t48)) % 34.32/34.62 (define @t258 () (or @t257 @t257 @t256)) % 34.32/34.62 (define @t259 () (forall @t247 @t244)) % 34.32/34.62 (define @t260 () (not @t254)) % 34.32/34.62 (define @t261 () (or @t257 @t257 @t260)) % 34.32/34.62 (define @t262 () (and @t193 @t260)) % 34.32/34.62 (define @t263 () (@list @t190)) % 34.32/34.62 (define @t264 () (@var "BOUND_VARIABLE_8315" $$unsorted)) % 34.32/34.62 (define @t265 () (= (tptp.frontsegP @t2 @t264) (not (forall @t16 (or @t165 (not (= @t2 (tptp.app @t264 @t12)))))))) % 34.32/34.62 (define @t266 () (not (tptp.ssList @t264))) % 34.32/34.62 (define @t267 () (or @t266 @t265)) % 34.32/34.62 (define @t268 () (or @t130 @t267)) % 34.32/34.62 (define @t269 () (forall (@list @t2 @t264) @t268)) % 34.32/34.62 (define @t270 () (@list @t264)) % 34.32/34.62 (define @t271 () (forall @t270 @t268)) % 34.32/34.62 (define @t272 () (forall @t270 @t267)) % 34.32/34.62 (define @t273 () (or @t130 @t272)) % 34.32/34.62 (define @t274 () (= @t2 @t19)) % 34.32/34.62 (define @t275 () (= @t22 (not (forall @t16 (or @t165 (not @t274)))))) % 34.32/34.62 (define @t276 () (forall @t7 (or @t154 @t275))) % 34.32/34.62 (define @t277 () (and @t15 @t274)) % 34.32/34.62 (define @t278 () (forall @t16 (not @t277))) % 34.32/34.62 (define @t279 () (not @t278)) % 34.32/34.62 (define @t280 () (forall @t16 (or @t165 (not (= @t185 (tptp.app @t133 @t12)))))) % 34.32/34.62 (define @t281 () (not @t280)) % 34.32/34.62 (define @t282 () (= @t186 @t281)) % 34.32/34.62 (define @t283 () (or @t205 @t207 @t282)) % 34.32/34.62 (define @t284 () (@quantifiers_skolemize @t280 0)) % 34.32/34.62 (define @t285 () (tptp.app @t133 @t284)) % 34.32/34.62 (define @t286 () (= @t185 @t285)) % 34.32/34.62 (define @t287 () (not @t286)) % 34.32/34.62 (define @t288 () (tptp.ssList @t284)) % 34.32/34.62 (define @t289 () (not @t288)) % 34.32/34.62 (define @t290 () (or @t289 @t287)) % 34.32/34.62 (define @t291 () (not @t290)) % 34.32/34.62 (define @t292 () (@list @t290)) % 34.32/34.62 (define @t293 () (@var "BOUND_VARIABLE_10206" $$unsorted)) % 34.32/34.62 (define @t294 () (@var "BOUND_VARIABLE_10210" $$unsorted)) % 34.32/34.62 (define @t295 () (@var "BOUND_VARIABLE_10208" $$unsorted)) % 34.32/34.62 (define @t296 () (tptp.segmentP (tptp.app (tptp.app @t295 @t2) @t294) @t293)) % 34.32/34.62 (define @t297 () (not (tptp.ssList @t294))) % 34.32/34.62 (define @t298 () (not (tptp.ssList @t295))) % 34.32/34.62 (define @t299 () (not (tptp.segmentP @t2 @t293))) % 34.32/34.62 (define @t300 () (not (tptp.ssList @t293))) % 34.32/34.62 (define @t301 () (or @t300 @t299 @t298 @t297 @t296)) % 34.32/34.62 (define @t302 () (or @t130 @t301)) % 34.32/34.62 (define @t303 () (forall (@list @t2 @t293 @t295 @t294) @t302)) % 34.32/34.62 (define @t304 () (@list @t293 @t295 @t294)) % 34.32/34.62 (define @t305 () (forall @t304 @t302)) % 34.32/34.62 (define @t306 () (forall @t304 @t301)) % 34.32/34.62 (define @t307 () (@var "BOUND_VARIABLE_10187" $$unsorted)) % 34.32/34.62 (define @t308 () (@var "BOUND_VARIABLE_10185" $$unsorted)) % 34.32/34.62 (define @t309 () (or @t130 @t306)) % 34.32/34.62 (define @t310 () (tptp.segmentP (tptp.app (tptp.app @t308 @t2) @t307) @t1)) % 34.32/34.62 (define @t311 () (not (tptp.ssList @t307))) % 34.32/34.62 (define @t312 () (not (tptp.ssList @t308))) % 34.32/34.62 (define @t313 () (not @t31)) % 34.32/34.62 (define @t314 () (or @t154 @t313 @t312 @t311 @t310)) % 34.32/34.62 (define @t315 () (@list @t1 @t308 @t307)) % 34.32/34.62 (define @t316 () (forall @t315 @t314)) % 34.32/34.62 (define @t317 () (or @t312 @t311 @t310)) % 34.32/34.62 (define @t318 () (or @t154 @t313 @t317)) % 34.32/34.62 (define @t319 () (forall @t315 @t318)) % 34.32/34.62 (define @t320 () (@list @t308 @t307)) % 34.32/34.62 (define @t321 () (forall @t320 @t318)) % 34.32/34.62 (define @t322 () (forall @t320 @t317)) % 34.32/34.62 (define @t323 () (@var "BOUND_VARIABLE_10168" $$unsorted)) % 34.32/34.62 (define @t324 () (or @t154 @t313 @t322)) % 34.32/34.62 (define @t325 () (tptp.segmentP (tptp.app @t73 @t323) @t1)) % 34.32/34.62 (define @t326 () (not (tptp.ssList @t323))) % 34.32/34.62 (define @t327 () (or @t165 @t326 @t325)) % 34.32/34.62 (define @t328 () (@list @t12 @t323)) % 34.32/34.62 (define @t329 () (forall @t328 @t327)) % 34.32/34.62 (define @t330 () (or @t154 @t313 @t329)) % 34.32/34.62 (define @t331 () (or @t313 @t329)) % 34.32/34.62 (define @t332 () (or @t326 @t325)) % 34.32/34.62 (define @t333 () (or @t165 @t332)) % 34.32/34.62 (define @t334 () (forall @t328 @t333)) % 34.32/34.62 (define @t335 () (@list @t323)) % 34.32/34.62 (define @t336 () (forall @t335 @t333)) % 34.32/34.62 (define @t337 () (forall @t335 @t332)) % 34.32/34.62 (define @t338 () (or @t165 @t337)) % 34.32/34.62 (define @t339 () (or @t108 @t76)) % 34.32/34.62 (define @t340 () (forall @t14 @t339)) % 34.32/34.62 (define @t341 () (or @t165 @t340)) % 34.32/34.62 (define @t342 () (forall @t16 @t341)) % 34.32/34.62 (define @t343 () (or @t313 @t342)) % 34.32/34.62 (define @t344 () (or @t313 @t341)) % 34.32/34.62 (define @t345 () (or @t165 @t313 @t340)) % 34.32/34.62 (define @t346 () (or @t313 @t340)) % 34.32/34.62 (define @t347 () (or @t313 @t339)) % 34.32/34.62 (define @t348 () (or @t108 @t313 @t76)) % 34.32/34.62 (define @t349 () (tptp.segmentP (tptp.app @t221 @t284) @t133)) % 34.32/34.62 (define @t350 () (or @t207 @t207 @t236 @t257 @t289 @t349)) % 34.32/34.62 (define @t351 () (not @t349)) % 34.32/34.62 (define @t352 () (not @t222)) % 34.32/34.62 (define @t353 () (and @t349 @t222 @t286 @t238)) % 34.32/34.62 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 34.32/34.62 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 34.32/34.62 (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))))))))))) % 34.32/34.62 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 34.32/34.62 (assume @p5 @t28) % 34.32/34.62 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t30 (exists @t16 (and @t15 (= @t29 @t2))))))))) % 34.32/34.62 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t31 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t29 @t10) @t2))))))))))) % 34.32/34.62 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not (and @t33 @t32))))))))))))))))) % 34.32/34.62 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t33 @t32)))))))))))))))) % 34.32/34.62 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t42 (tptp.lt @t12 @t1))))))))))))))))) % 34.32/34.62 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t33))))))))))))))) % 34.32/34.62 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t42))))))))))))))) % 34.32/34.62 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not @t43)))))))))))))))) % 34.32/34.62 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t35))) @t2) @t43))))))))))))) % 34.32/34.62 (assume @p15 @t46) % 34.32/34.62 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t47)))))) % 34.32/34.62 (assume @p17 @t48) % 34.32/34.62 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 34.32/34.62 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t41 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t49))))))))))) % 34.32/34.62 (assume @p20 (forall @t9 (=> @t17 (or @t51 (exists @t7 (and @t24 (exists @t16 (and @t41 (= @t50 @t2))))))))) % 34.32/34.62 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 34.32/34.62 (assume @p22 (forall @t9 (=> @t17 (=> @t53 (tptp.ssItem @t52))))) % 34.32/34.62 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 34.32/34.62 (assume @p24 (forall @t9 (=> @t17 (=> @t53 (tptp.ssList @t54))))) % 34.32/34.62 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t47) @t2)))))) % 34.32/34.62 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (tptp.ssList @t55)))))) % 34.32/34.62 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t41 (= (tptp.cons @t12 @t56) (tptp.app @t50 @t2))))))))) % 34.32/34.62 (assume @p28 @t59) % 34.32/34.62 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t61 @t60) @t3)))))) % 34.32/34.62 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t61 @t33) (tptp.leq @t2 @t12))))))))) % 34.32/34.62 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 34.32/34.62 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t62 @t60)))))) % 34.32/34.62 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t64 (not @t63))))))) % 34.32/34.62 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t64 @t42) @t65)))))))) % 34.32/34.62 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t66 @t63)))))) % 34.32/34.62 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t67))))))))) % 34.32/34.62 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t67))))))))) % 34.32/34.62 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 34.32/34.62 (assume @p39 (not (tptp.singletonP tptp.nil))) % 34.32/34.62 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t22 @t68) (tptp.frontsegP @t2 @t12))))))))) % 34.32/34.62 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t22 @t69) @t3)))))) % 34.32/34.62 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 34.32/34.62 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t22 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 34.32/34.62 (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)))))))))))) % 34.32/34.62 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 34.32/34.62 (assume @p46 @t72) % 34.32/34.62 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t30 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 34.32/34.62 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t30 (tptp.rearsegP @t1 @t2)) @t3)))))) % 34.32/34.62 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 34.32/34.62 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t30 (tptp.rearsegP @t73 @t1))))))))) % 34.32/34.62 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 34.32/34.62 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t51)))) % 34.32/34.62 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t31 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 34.32/34.62 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t31 (tptp.segmentP @t1 @t2)) @t3)))))) % 34.32/34.62 (assume @p55 @t75) % 34.32/34.62 (assume @p56 @t84) % 34.32/34.62 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 34.32/34.62 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t51)))) % 34.32/34.62 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t85)))) % 34.32/34.62 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 34.32/34.62 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t85)))) % 34.32/34.62 (assume @p62 (tptp.totalorderP tptp.nil)) % 34.32/34.62 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t85)))) % 34.32/34.62 (assume @p64 (tptp.strictorderP tptp.nil)) % 34.32/34.62 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t85)))) % 34.32/34.62 (assume @p66 (tptp.totalorderedP tptp.nil)) % 34.32/34.62 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.totalorderedP @t89) (or @t87 (and @t88 (tptp.totalorderedP @t1) (tptp.leq @t2 @t86))))))))) % 34.32/34.62 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t85)))) % 34.32/34.62 (assume @p69 (tptp.strictorderedP tptp.nil)) % 34.32/34.62 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.strictorderedP @t89) (or @t87 (and @t88 (tptp.strictorderedP @t1) (tptp.lt @t2 @t86))))))))) % 34.32/34.62 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t85)))) % 34.32/34.62 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 34.32/34.62 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t85)))) % 34.32/34.62 (assume @p74 (tptp.equalelemsP tptp.nil)) % 34.32/34.62 (assume @p75 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t6 (= @t52 @t1))))))) % 34.32/34.62 (assume @p76 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t24 (= @t54 @t1))))))) % 34.32/34.62 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t88 @t53 (= @t86 @t52) (= (tptp.tl @t1) @t54)) @t49)))))) % 34.32/34.62 (assume @p78 (forall @t9 (=> @t17 (=> @t53 (= (tptp.cons @t52 @t54) @t2))))) % 34.32/34.62 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t29 @t55) @t90)))))))) % 34.32/34.62 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t19 @t56) @t90)))))))) % 34.32/34.62 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t47 (tptp.app @t18 @t2))))))) % 34.32/34.62 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.app @t55 @t12) (tptp.app @t2 @t19))))))))) % 34.32/34.62 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= (= tptp.nil @t55) (and @t87 @t51))))))) % 34.32/34.62 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 34.32/34.62 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t53 (= (tptp.hd @t55) @t52))))))) % 34.32/34.62 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t53 (= (tptp.tl @t55) (tptp.app @t54 @t1)))))))) % 34.32/34.62 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t62 (tptp.geq @t1 @t2)) @t3)))))) % 34.32/34.62 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t62 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 34.32/34.62 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 34.32/34.62 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 34.32/34.62 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t61 @t42) @t65)))))))) % 34.32/34.62 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t61 (or @t3 @t64))))))) % 34.32/34.62 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t64 (and @t4 @t61))))))) % 34.32/34.62 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t66 (not (tptp.gt @t1 @t2)))))))) % 34.32/34.62 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t66 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 34.32/34.62 (assume @p96 @t117) % 34.32/34.62 (assume @p97 true) % 34.32/34.62 (step @p98 :rule bool-impl-elim :args (@t17 @t118)) % 34.32/34.62 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t118)))) % 34.32/34.62 (step @p100 :rule eq-symm :args (@t57 @t2)) % 34.32/34.62 (step @p101 :rule refl :args (@t17)) % 34.32/34.62 (step @p102 :rule cong :premises (@p101 @p100) :args (@t58)) % 34.32/34.62 (step @p103 :rule cong :premises (@p102) :args (@t59)) % 34.32/34.62 (step @p104 :rule trans :premises (@p103 @p99)) % 34.32/34.62 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 34.32/34.62 (step @p106 :rule instantiate :premises (@p105) :args (@t134)) % 34.32/34.62 (step @p107 :rule refl :args (@t121)) % 34.32/34.62 (step @p108 :rule refl :args (@t123)) % 34.32/34.62 (step @p109 :rule eq-symm :args (@t119 tptp.nil)) % 34.32/34.62 (step @p110 :rule cong :premises (@p109) :args (@t135)) % 34.32/34.62 (step @p111 :rule nary_cong :premises (@p110 @p108) :args (@t136)) % 34.32/34.62 (step @p112 :rule nary_cong :premises (@p111 @p107) :args (@t137)) % 34.32/34.62 (step @p113 :rule refl :args (@t128)) % 34.32/34.62 (step @p114 :rule refl :args (@t122)) % 34.32/34.62 (step @p115 :rule nary_cong :premises (@p110 @p114) :args (@t138)) % 34.32/34.62 (step @p116 :rule nary_cong :premises (@p115 @p113) :args (@t139)) % 34.32/34.62 (step @p117 :rule refl :args (@t129)) % 34.32/34.62 (step @p118 :rule refl :args (@t130)) % 34.32/34.62 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116 @p112) :args (@t140)) % 34.32/34.62 (step @p120 :rule aci_norm :args ((= @t142 @t140))) % 34.32/34.62 (step @p121 :rule trans :premises (@p120 @p119)) % 34.32/34.62 (step @p122 :rule cong :premises (@p121) :args (@t143)) % 34.32/34.62 (step @p123 :rule quant-merge-prenex :args ((= (forall @t9 @t145) @t143))) % 34.32/34.62 (step @p124 :rule alpha_equiv :args (@t146 (@list @t119) @t147)) % 34.32/34.62 (step @p125 :rule refl :args (@t130)) % 34.32/34.62 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t148)) % 34.32/34.62 (step @p127 :rule quant-miniscope-or :args ((= @t145 @t148))) % 34.32/34.62 (step @p128 :rule trans :premises (@p127 @p126)) % 34.32/34.62 (step @p129 :rule symm :premises (@p128)) % 34.32/34.62 (step @p130 :rule cong :premises (@p129) :args ((forall @t9 @t156))) % 34.32/34.62 (step @p131 :rule trans :premises (@p130 @p123)) % 34.32/34.62 (step @p132 :rule trans :premises (@p131 @p122)) % 34.32/34.62 (step @p133 :rule aci_norm :args ((= (or @t130 @t156) @t156))) % 34.32/34.62 (step @p134 :rule bool-impl-elim :args (@t17 @t156)) % 34.32/34.62 (step @p135 :rule trans :premises (@p134 @p133)) % 34.32/34.62 (step @p136 :rule cong :premises (@p135) :args ((forall @t9 (=> @t17 @t156)))) % 34.32/34.62 (step @p137 :rule trans :premises (@p136 @p132)) % 34.32/34.62 (step @p138 :rule quant-miniscope-or :args ((= (forall @t7 @t157) @t156))) % 34.32/34.62 (step @p139 :rule aci_norm :args ((= @t158 @t157))) % 34.32/34.62 (step @p140 :rule cong :premises (@p139) :args ((forall @t7 @t158))) % 34.32/34.62 (step @p141 :rule trans :premises (@p140 @p138)) % 34.32/34.62 (step @p142 :rule aci_norm :args ((= (or @t154 @t159) @t158))) % 34.32/34.62 (step @p143 :rule bool-impl-elim :args (@t24 @t159)) % 34.32/34.62 (step @p144 :rule trans :premises (@p143 @p142)) % 34.32/34.62 (step @p145 :rule cong :premises (@p144) :args ((forall @t7 (=> @t24 @t159)))) % 34.32/34.62 (step @p146 :rule trans :premises (@p145 @p141)) % 34.32/34.62 (step @p147 :rule aci_norm :args ((= (or @t153 @t154 @t160) @t159))) % 34.32/34.62 (step @p148 :rule aci_norm :args ((= (or @t130 false @t150) @t160))) % 34.32/34.62 (step @p149 :rule refl :args (@t150)) % 34.32/34.62 (step @p150 :rule evaluate :args ((not true))) % 34.32/34.62 (step @p151 :rule eq-refl :args (@t2)) % 34.32/34.62 (step @p152 :rule cong :premises (@p151) :args (@t161)) % 34.32/34.62 (step @p153 :rule trans :premises (@p152 @p150)) % 34.32/34.62 (step @p154 :rule nary_cong :premises (@p118 @p153 @p149) :args (@t162)) % 34.32/34.62 (step @p155 :rule trans :premises (@p154 @p148)) % 34.32/34.62 (step @p156 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t90) @t165 @t106 @t164)) @t162))) % 34.32/34.62 (step @p157 :rule refl :args (@t164)) % 34.32/34.62 (step @p158 :rule refl :args (@t106)) % 34.32/34.62 (step @p159 :rule refl :args (@t165)) % 34.32/34.62 (step @p160 :rule eq-symm :args (@t2 @t12)) % 34.32/34.62 (step @p161 :rule cong :premises (@p160) :args (@t106)) % 34.32/34.62 (step @p162 :rule nary_cong :premises (@p161 @p159 @p158 @p157) :args (@t166)) % 34.32/34.62 (step @p163 :rule aci_norm :args ((= @t167 @t166))) % 34.32/34.62 (step @p164 :rule trans :premises (@p163 @p162)) % 34.32/34.62 (step @p165 :rule cong :premises (@p164) :args (@t168)) % 34.32/34.62 (step @p166 :rule trans :premises (@p165 @p156)) % 34.32/34.62 (step @p167 :rule trans :premises (@p166 @p155)) % 34.32/34.62 (step @p168 :rule refl :args (@t154)) % 34.32/34.62 (step @p169 :rule refl :args (@t153)) % 34.32/34.62 (step @p170 :rule nary_cong :premises (@p169 @p168 @p167) :args (@t169)) % 34.32/34.62 (step @p171 :rule trans :premises (@p170 @p147)) % 34.32/34.62 (step @p172 :rule quant-miniscope-or :args ((= (forall @t16 @t170) @t169))) % 34.32/34.62 (step @p173 :rule aci_norm :args ((= @t171 @t170))) % 34.32/34.62 (step @p174 :rule cong :premises (@p173) :args ((forall @t16 @t171))) % 34.32/34.62 (step @p175 :rule trans :premises (@p174 @p172)) % 34.32/34.62 (step @p176 :rule trans :premises (@p175 @p171)) % 34.32/34.62 (step @p177 :rule aci_norm :args ((= (or @t165 @t172) @t171))) % 34.32/34.62 (step @p178 :rule bool-impl-elim :args (@t15 @t172)) % 34.32/34.62 (step @p179 :rule trans :premises (@p178 @p177)) % 34.32/34.62 (step @p180 :rule cong :premises (@p179) :args ((forall @t16 (=> @t15 @t172)))) % 34.32/34.62 (step @p181 :rule trans :premises (@p180 @p176)) % 34.32/34.62 (step @p182 :rule aci_norm :args ((= (or @t106 @t153 @t173) @t172))) % 34.32/34.62 (step @p183 :rule aci_norm :args ((= (or @t154 false @t164) @t173))) % 34.32/34.62 (step @p184 :rule refl :args (@t164)) % 34.32/34.62 (step @p185 :rule eq-refl :args (@t1)) % 34.32/34.62 (step @p186 :rule cong :premises (@p185) :args (@t174)) % 34.32/34.62 (step @p187 :rule trans :premises (@p186 @p150)) % 34.32/34.62 (step @p188 :rule nary_cong :premises (@p168 @p187 @p184) :args (@t175)) % 34.32/34.62 (step @p189 :rule trans :premises (@p188 @p183)) % 34.32/34.62 (step @p190 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t108 @t107 @t176)) @t175))) % 34.32/34.62 (step @p191 :rule refl :args (@t176)) % 34.32/34.62 (step @p192 :rule refl :args (@t107)) % 34.32/34.62 (step @p193 :rule refl :args (@t108)) % 34.32/34.62 (step @p194 :rule eq-symm :args (@t1 @t10)) % 34.32/34.62 (step @p195 :rule cong :premises (@p194) :args (@t107)) % 34.32/34.62 (step @p196 :rule nary_cong :premises (@p195 @p193 @p192 @p191) :args (@t177)) % 34.32/34.62 (step @p197 :rule aci_norm :args ((= @t178 @t177))) % 34.32/34.62 (step @p198 :rule trans :premises (@p197 @p196)) % 34.32/34.62 (step @p199 :rule cong :premises (@p198) :args (@t179)) % 34.32/34.62 (step @p200 :rule trans :premises (@p199 @p190)) % 34.32/34.62 (step @p201 :rule trans :premises (@p200 @p189)) % 34.32/34.62 (step @p202 :rule refl :args (@t106)) % 34.32/34.62 (step @p203 :rule nary_cong :premises (@p202 @p169 @p201) :args (@t180)) % 34.32/34.62 (step @p204 :rule trans :premises (@p203 @p182)) % 34.32/34.62 (step @p205 :rule quant-miniscope-or :args ((= (forall @t14 @t181) @t180))) % 34.32/34.62 (step @p206 :rule aci_norm :args ((= @t182 @t181))) % 34.32/34.62 (step @p207 :rule cong :premises (@p206) :args ((forall @t14 @t182))) % 34.32/34.62 (step @p208 :rule trans :premises (@p207 @p205)) % 34.32/34.62 (step @p209 :rule trans :premises (@p208 @p204)) % 34.32/34.62 (step @p210 :rule refl :args (@t92)) % 34.32/34.62 (step @p211 :rule eq-symm :args (tptp.nil @t12)) % 34.32/34.62 (step @p212 :rule cong :premises (@p211) :args (@t93)) % 34.32/34.62 (step @p213 :rule eq-symm :args (tptp.nil @t10)) % 34.32/34.62 (step @p214 :rule cong :premises (@p213) :args (@t94)) % 34.32/34.62 (step @p215 :rule nary_cong :premises (@p214 @p212) :args (@t95)) % 34.32/34.62 (step @p216 :rule nary_cong :premises (@p215 @p210) :args (@t96)) % 34.32/34.62 (step @p217 :rule aci_norm :args ((= (or @t127 (or @t126 (or @t151 @t125))) @t152))) % 34.32/34.62 (step @p218 :rule bool-and-de-morgan :args (@t98 @t97 true)) % 34.32/34.62 (step @p219 :rule refl :args (@t126)) % 34.32/34.62 (step @p220 :rule nary_cong :premises (@p219 @p218) :args ((or @t126 (not (and @t98 @t97))))) % 34.32/34.62 (step @p221 :rule bool-and-de-morgan :args (@t99 @t98 (and @t97))) % 34.32/34.62 (step @p222 :rule trans :premises (@p221 @p220)) % 34.32/34.62 (step @p223 :rule refl :args (@t127)) % 34.32/34.62 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or @t127 (not (and @t99 @t98 @t97))))) % 34.32/34.62 (step @p225 :rule bool-and-de-morgan :args (@t39 @t99 (and @t98 @t97))) % 34.32/34.62 (step @p226 :rule trans :premises (@p225 @p224)) % 34.32/34.62 (step @p227 :rule trans :premises (@p226 @p217)) % 34.32/34.62 (step @p228 :rule cong :premises (@p227) :args (@t183)) % 34.32/34.62 (step @p229 :rule cong :premises (@p228) :args (@t184)) % 34.32/34.62 (step @p230 :rule exists-elim :args ((= @t101 @t184))) % 34.32/34.62 (step @p231 :rule trans :premises (@p230 @p229)) % 34.32/34.62 (step @p232 :rule refl :args (@t102)) % 34.32/34.62 (step @p233 :rule nary_cong :premises (@p232 @p231) :args (@t103)) % 34.32/34.62 (step @p234 :rule eq-symm :args (tptp.nil @t2)) % 34.32/34.62 (step @p235 :rule eq-symm :args (tptp.nil @t1)) % 34.32/34.62 (step @p236 :rule cong :premises (@p235) :args (@t88)) % 34.32/34.62 (step @p237 :rule nary_cong :premises (@p236 @p234) :args (@t104)) % 34.32/34.62 (step @p238 :rule nary_cong :premises (@p237 @p233) :args (@t105)) % 34.32/34.62 (step @p239 :rule refl :args (@t107)) % 34.32/34.62 (step @p240 :rule refl :args (@t108)) % 34.32/34.62 (step @p241 :rule nary_cong :premises (@p240 @p239 @p202 @p238 @p216) :args (@t109)) % 34.32/34.62 (step @p242 :rule cong :premises (@p241) :args (@t110)) % 34.32/34.62 (step @p243 :rule trans :premises (@p242 @p209)) % 34.32/34.62 (step @p244 :rule refl :args (@t15)) % 34.32/34.62 (step @p245 :rule cong :premises (@p244 @p243) :args (@t111)) % 34.32/34.62 (step @p246 :rule cong :premises (@p245) :args (@t112)) % 34.32/34.62 (step @p247 :rule trans :premises (@p246 @p181)) % 34.32/34.62 (step @p248 :rule refl :args (@t24)) % 34.32/34.62 (step @p249 :rule cong :premises (@p248 @p247) :args (@t113)) % 34.32/34.62 (step @p250 :rule cong :premises (@p249) :args (@t114)) % 34.32/34.62 (step @p251 :rule trans :premises (@p250 @p146)) % 34.32/34.62 (step @p252 :rule cong :premises (@p101 @p251) :args (@t115)) % 34.32/34.62 (step @p253 :rule cong :premises (@p252) :args (@t116)) % 34.32/34.62 (step @p254 :rule trans :premises (@p253 @p137)) % 34.32/34.62 (step @p255 :rule cong :premises (@p254) :args (@t117)) % 34.32/34.62 (step @p256 :rule eq_resolve :premises (@p96 @p255)) % 34.32/34.62 (step @p257 :rule refl :args (@t209)) % 34.32/34.62 (step @p258 :rule bool-double-not-elim :args (@t132)) % 34.32/34.62 (step @p259 :rule nary_cong :premises (@p258 @p257) :args ((or (not @t210) @t209))) % 34.32/34.62 (step @p260 :rule refl :args (@t190)) % 34.32/34.62 (step @p261 :rule eq-symm :args (@t133 tptp.nil)) % 34.32/34.62 (step @p262 :rule cong :premises (@p261) :args (@t212)) % 34.32/34.62 (step @p263 :rule refl :args (@t194)) % 34.32/34.62 (step @p264 :rule nary_cong :premises (@p263 @p262) :args (@t213)) % 34.32/34.62 (step @p265 :rule nary_cong :premises (@p264 @p260) :args (@t214)) % 34.32/34.62 (step @p266 :rule refl :args (@t201)) % 34.32/34.62 (step @p267 :rule nary_cong :premises (@p263 @p261) :args (@t215)) % 34.32/34.62 (step @p268 :rule nary_cong :premises (@p267 @p266) :args (@t216)) % 34.32/34.62 (step @p269 :rule refl :args (@t205)) % 34.32/34.62 (step @p270 :rule refl :args (@t207)) % 34.32/34.62 (step @p271 :rule nary_cong :premises (@p270 @p269 @p268 @p265) :args (@t217)) % 34.32/34.62 (step @p272 :rule cong :premises (@p271) :args (@t218)) % 34.32/34.62 (step @p273 :rule refl :args (@t210)) % 34.32/34.62 (step @p274 :rule cong :premises (@p273 @p272) :args ((=> @t210 @t218))) % 34.32/34.62 (assume-push @p672 @t210) % 34.32/34.62 (step @p276 :rule skolemize :premises (@p256)) % 34.32/34.62 (step-pop @p673 :rule scope :premises (@p276)) % 34.32/34.62 (step @p277 :rule process_scope :premises (@p673) :args (@t218)) % 34.32/34.62 (step @p279 :rule eq_resolve :premises (@p277 @p274)) % 34.32/34.62 (step @p280 :rule implies_elim :premises (@p279)) % 34.32/34.62 (step @p281 :rule eq_resolve :premises (@p280 @p259)) % 34.32/34.62 (step @p282 :rule chain_m_resolution :premises (@p281 @p256) :args (@t209 @t219 (@list @t132))) % 34.32/34.62 (step @p283 :rule bool-double-not-elim :args (@t206)) % 34.32/34.62 (step @p284 :rule refl :args (@t208)) % 34.32/34.62 (step @p285 :rule nary_cong :premises (@p284 @p283) :args ((or @t208 (not @t207)))) % 34.32/34.62 (step @p286 :rule cnf_or_neg :args (@t208 0)) % 34.32/34.62 (step @p287 :rule eq_resolve :premises (@p286 @p285)) % 34.32/34.62 (step @p288 :rule reordering :premises (@p287) :args ((or @t206 @t208))) % 34.32/34.62 (step @p289 :rule chain_m_resolution :premises (@p288 @p282) :args (@t206 @t219 @t220)) % 34.32/34.62 (step @p290 :rule cnf_or_pos :args (@t223)) % 34.32/34.62 (step @p291 :rule reordering :premises (@p290) :args ((or @t207 @t222 (not @t223)))) % 34.32/34.62 (step @p292 :rule chain_m_resolution :premises (@p291 @p289 @p106) :args (@t222 @t224 (@list @t206 @t223))) % 34.32/34.62 (step @p293 :rule bool-double-not-elim :args (@t191)) % 34.32/34.62 (step @p294 :rule refl :args (@t195)) % 34.32/34.62 (step @p295 :rule nary_cong :premises (@p294 @p293) :args ((or @t195 (not @t192)))) % 34.32/34.62 (step @p296 :rule cnf_or_neg :args (@t195 1)) % 34.32/34.62 (step @p297 :rule eq_resolve :premises (@p296 @p295)) % 34.32/34.62 (step @p298 :rule reordering :premises (@p297) :args ((or @t191 @t195))) % 34.32/34.62 (step @p299 :rule bool-impl-elim :args (@t17 @t225)) % 34.32/34.62 (step @p300 :rule cong :premises (@p299) :args ((forall @t9 (=> @t17 @t225)))) % 34.32/34.62 (step @p301 :rule eq-symm :args (@t122 @t70)) % 34.32/34.62 (step @p302 :rule refl :args (@t70)) % 34.32/34.62 (step @p303 :rule cong :premises (@p234 @p302) :args ((= @t51 @t70))) % 34.32/34.62 (step @p304 :rule trans :premises (@p303 @p301)) % 34.32/34.62 (step @p305 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scope :premises (@p531)) % 34.32/34.62 (step @p532 :rule process_scope :premises (@p697) :args (@t291)) % 34.32/34.62 (step @p534 :rule implies_elim :premises (@p532)) % 34.32/34.62 (step @p535 :rule eq_resolve :premises (@p534 @p529)) % 34.32/34.62 (step @p536 :rule chain_m_resolution :premises (@p535 @p526) :args (@t291 @t219 (@list @t280))) % 34.32/34.62 (step @p537 :rule bool-double-not-elim :args (@t286)) % 34.32/34.62 (step @p538 :rule refl :args (@t290)) % 34.32/34.62 (step @p539 :rule nary_cong :premises (@p538 @p537) :args ((or @t290 (not @t287)))) % 34.32/34.62 (step @p540 :rule cnf_or_neg :args (@t290 1)) % 34.32/34.62 (step @p541 :rule eq_resolve :premises (@p540 @p539)) % 34.32/34.62 (step @p542 :rule reordering :premises (@p541) :args ((or @t286 @t290))) % 34.32/34.62 (step @p543 :rule chain_m_resolution :premises (@p542 @p536) :args (@t286 @t219 @t292)) % 34.32/34.62 (step @p544 :rule aci_norm :args ((= @t302 (or @t130 @t300 @t299 @t298 @t297 @t296)))) % 34.32/34.62 (step @p545 :rule cong :premises (@p544) :args (@t303)) % 34.32/34.62 (step @p546 :rule quant-merge-prenex :args ((= (forall @t9 @t305) @t303))) % 34.32/34.62 (step @p547 :rule alpha_equiv :args (@t306 (@list @t293 @t295 @t294) (@list @t1 @t308 @t307))) % 34.32/34.62 (step @p548 :rule nary_cong :premises (@p125 @p547) :args (@t309)) % 34.32/34.62 (step @p549 :rule quant-miniscope-or :args ((= @t305 @t309))) % 34.32/34.62 (step @p550 :rule trans :premises (@p549 @p548)) % 34.32/34.62 (step @p551 :rule symm :premises (@p550)) % 34.32/34.62 (step @p552 :rule cong :premises (@p551) :args ((forall @t9 (or @t130 @t316)))) % 34.32/34.62 (step @p553 :rule trans :premises (@p552 @p546)) % 34.32/34.62 (step @p554 :rule trans :premises (@p553 @p545)) % 34.32/34.62 (step @p555 :rule bool-impl-elim :args (@t17 @t316)) % 34.32/34.62 (step @p556 :rule cong :premises (@p555) :args ((forall @t9 (=> @t17 @t316)))) % 34.32/34.62 (step @p557 :rule trans :premises (@p556 @p554)) % 34.32/34.62 (step @p558 :rule aci_norm :args ((= @t318 @t314))) % 34.32/34.62 (step @p559 :rule cong :premises (@p558) :args (@t319)) % 34.32/34.62 (step @p560 :rule quant-merge-prenex :args ((= (forall @t7 @t321) @t319))) % 34.32/34.62 (step @p561 :rule alpha_equiv :args (@t322 (@list @t308 @t307) (@list @t12 @t323))) % 34.32/34.62 (step @p562 :rule refl :args (@t313)) % 34.32/34.62 (step @p563 :rule refl :args (@t154)) % 34.32/34.62 (step @p564 :rule nary_cong :premises (@p563 @p562 @p561) :args (@t324)) % 34.32/34.62 (step @p565 :rule quant-miniscope-or :args ((= @t321 @t324))) % 34.32/34.62 (step @p566 :rule trans :premises (@p565 @p564)) % 34.32/34.62 (step @p567 :rule symm :premises (@p566)) % 34.32/34.62 (step @p568 :rule cong :premises (@p567) :args ((forall @t7 @t330))) % 34.32/34.62 (step @p569 :rule trans :premises (@p568 @p560)) % 34.32/34.62 (step @p570 :rule trans :premises (@p569 @p559)) % 34.32/34.62 (step @p571 :rule aci_norm :args ((= (or @t154 @t331) @t330))) % 34.32/34.62 (step @p572 :rule bool-impl-elim :args (@t24 @t331)) % 34.32/34.62 (step @p573 :rule trans :premises (@p572 @p571)) % 34.32/34.62 (step @p574 :rule cong :premises (@p573) :args ((forall @t7 (=> @t24 @t331)))) % 34.32/34.62 (step @p575 :rule trans :premises (@p574 @p570)) % 34.32/34.62 (step @p576 :rule aci_norm :args ((= @t333 @t327))) % 34.32/34.62 (step @p577 :rule cong :premises (@p576) :args (@t334)) % 34.32/34.62 (step @p578 :rule quant-merge-prenex :args ((= (forall @t16 @t336) @t334))) % 34.32/34.62 (step @p579 :rule alpha_equiv :args (@t337 (@list @t323) (@list @t10))) % 34.32/34.62 (step @p580 :rule nary_cong :premises (@p159 @p579) :args (@t338)) % 34.32/34.62 (step @p581 :rule quant-miniscope-or :args ((= @t336 @t338))) % 34.32/34.62 (step @p582 :rule trans :premises (@p581 @p580)) % 34.32/34.62 (step @p583 :rule symm :premises (@p582)) % 34.32/34.62 (step @p584 :rule cong :premises (@p583) :args (@t342)) % 34.32/34.62 (step @p585 :rule trans :premises (@p584 @p578)) % 34.32/34.62 (step @p586 :rule trans :premises (@p585 @p577)) % 34.32/34.62 (step @p587 :rule refl :args (@t313)) % 34.32/34.62 (step @p588 :rule nary_cong :premises (@p587 @p586) :args (@t343)) % 34.32/34.62 (step @p589 :rule quant-miniscope-or :args ((= (forall @t16 @t344) @t343))) % 34.32/34.62 (step @p590 :rule aci_norm :args ((= @t345 @t344))) % 34.32/34.62 (step @p591 :rule cong :premises (@p590) :args ((forall @t16 @t345))) % 34.32/34.62 (step @p592 :rule trans :premises (@p591 @p589)) % 34.32/34.62 (step @p593 :rule trans :premises (@p592 @p588)) % 34.32/34.62 (step @p594 :rule aci_norm :args ((= (or @t165 @t346) @t345))) % 34.32/34.62 (step @p595 :rule bool-impl-elim :args (@t15 @t346)) % 34.32/34.62 (step @p596 :rule trans :premises (@p595 @p594)) % 34.32/34.62 (step @p597 :rule cong :premises (@p596) :args ((forall @t16 (=> @t15 @t346)))) % 34.32/34.62 (step @p598 :rule trans :premises (@p597 @p593)) % 34.32/34.62 (step @p599 :rule quant-miniscope-or :args ((= (forall @t14 @t347) @t346))) % 34.32/34.62 (step @p600 :rule aci_norm :args ((= @t348 @t347))) % 34.32/34.62 (step @p601 :rule cong :premises (@p600) :args ((forall @t14 @t348))) % 34.32/34.62 (step @p602 :rule trans :premises (@p601 @p599)) % 34.32/34.62 (step @p603 :rule aci_norm :args ((= (or @t108 (or @t313 @t76)) @t348))) % 34.32/34.62 (step @p604 :rule bool-impl-elim :args (@t31 @t76)) % 34.32/34.62 (step @p605 :rule nary_cong :premises (@p193 @p604) :args ((or @t108 @t77))) % 34.32/34.62 (step @p606 :rule trans :premises (@p605 @p603)) % 34.32/34.62 (step @p607 :rule bool-impl-elim :args (@t13 @t77)) % 34.32/34.62 (step @p608 :rule trans :premises (@p607 @p606)) % 34.32/34.62 (step @p609 :rule cong :premises (@p608) :args (@t78)) % 34.32/34.62 (step @p610 :rule trans :premises (@p609 @p602)) % 34.32/34.62 (step @p611 :rule cong :premises (@p244 @p610) :args (@t79)) % 34.32/34.62 (step @p612 :rule cong :premises (@p611) :args (@t80)) % 34.32/34.62 (step @p613 :rule trans :premises (@p612 @p598)) % 34.32/34.62 (step @p614 :rule cong :premises (@p248 @p613) :args (@t81)) % 34.32/34.62 (step @p615 :rule cong :premises (@p614) :args (@t82)) % 34.32/34.62 (step @p616 :rule trans :premises (@p615 @p575)) % 34.32/34.62 (step @p617 :rule cong :premises (@p101 @p616) :args (@t83)) % 34.32/34.62 (step @p618 :rule cong :premises (@p617) :args (@t84)) % 34.32/34.62 (step @p619 :rule trans :premises (@p618 @p557)) % 34.32/34.62 (step @p620 :rule eq_resolve :premises (@p56 @p619)) % 34.32/34.62 (step @p621 :rule instantiate :premises (@p620) :args ((@list @t133 @t133 tptp.nil @t284))) % 34.32/34.62 (step @p622 :rule bool-double-not-elim :args (@t288)) % 34.32/34.62 (step @p623 :rule nary_cong :premises (@p538 @p622) :args ((or @t290 (not @t289)))) % 34.32/34.62 (step @p624 :rule cnf_or_neg :args (@t290 0)) % 34.32/34.62 (step @p625 :rule eq_resolve :premises (@p624 @p623)) % 34.32/34.62 (step @p626 :rule reordering :premises (@p625) :args ((or @t288 @t290))) % 34.32/34.62 (step @p627 :rule chain_m_resolution :premises (@p626 @p536) :args (@t288 @t219 @t292)) % 34.32/34.62 (step @p628 :rule cnf_or_pos :args (@t350)) % 34.32/34.62 (step @p629 :rule factoring :premises (@p628)) % 34.32/34.62 (step @p630 :rule reordering :premises (@p629) :args ((or @t257 @t207 @t236 @t289 @t349 (not @t350)))) % 34.32/34.62 (step @p631 :rule chain_m_resolution :premises (@p630 @p17 @p289 @p387 @p627 @p621) :args (@t349 (@list false false false false false) (@list @t48 @t206 @t235 @t288 @t350))) % 34.32/34.62 (step @p632 :rule refl :args (@t351)) % 34.32/34.62 (step @p633 :rule refl :args (@t287)) % 34.32/34.62 (step @p634 :rule bool-double-not-elim :args (@t237)) % 34.32/34.62 (step @p635 :rule refl :args (@t352)) % 34.32/34.62 (step @p636 :rule nary_cong :premises (@p635 @p634 @p633 @p632) :args ((or @t352 (not @t238) @t287 @t351))) % 34.32/34.62 (assume-push @p698 @t349) % 34.32/34.62 (assume-push @p699 @t222) % 34.32/34.62 (assume-push @p700 @t286) % 34.32/34.62 (assume-push @p701 @t238) % 34.32/34.62 (step @p641 :rule evaluate :args ((= false true))) % 34.32/34.62 (step @p642 :rule true_intro :premises (@p698)) % 34.32/34.62 (step @p346 :rule refl :args (@t133)) % 34.32/34.62 (step @p643 :rule refl :args (@t284)) % 34.32/34.62 (step @p644 :rule cong :premises (@p292 @p643) :args (@t285)) % 34.32/34.62 (step @p645 :rule trans :premises (@p700 @p644)) % 34.32/34.62 (step @p646 :rule cong :premises (@p645 @p346) :args (@t237)) % 34.32/34.62 (step @p647 :rule false_intro :premises (@p701)) % 34.32/34.62 (step @p648 :rule symm :premises (@p647)) % 34.32/34.62 (step @p649 :rule trans :premises (@p648 @p646 @p642)) % 34.32/34.62 (step @p650 false :rule eq_resolve :premises (@p649 @p641)) % 34.32/34.62 (step-pop @p702 :rule scope :premises (@p650)) % 34.32/34.62 (step-pop @p703 :rule scope :premises (@p702)) % 34.32/34.62 (step-pop @p704 :rule scope :premises (@p703)) % 34.32/34.62 (step-pop @p705 :rule scope :premises (@p704)) % 34.32/34.62 (step @p651 :rule process_scope :premises (@p705) :args (false)) % 34.32/34.62 (assume-push @p706 @t222) % 34.32/34.62 (assume-push @p707 @t238) % 34.32/34.62 (assume-push @p708 @t286) % 34.32/34.62 (assume-push @p709 @t349) % 34.32/34.62 (step @p660 :rule and_intro :premises (@p709 @p292 @p708 @p707)) % 34.32/34.62 (step-pop @p710 :rule scope :premises (@p660)) % 34.32/34.62 (step-pop @p711 :rule scope :premises (@p710)) % 34.32/34.62 (step-pop @p712 :rule scope :premises (@p711)) % 34.32/34.62 (step-pop @p713 :rule scope :premises (@p712)) % 34.32/34.62 (step @p661 :rule process_scope :premises (@p713) :args (@t353)) % 34.32/34.62 (step @p666 :rule implies_elim :premises (@p661)) % 34.32/34.62 (step @p667 :rule resolution :premises (@p666 @p651) :args (true @t353)) % 34.32/34.62 (step @p668 :rule not_and :premises (@p667)) % 34.32/34.62 (step @p669 :rule eq_resolve :premises (@p668 @p636)) % 34.32/34.62 (step @p670 :rule reordering :premises (@p669) :args ((or @t237 @t352 @t287 @t351))) % 34.32/34.62 (step @p671 false :rule chain_m_resolution :premises (@p670 @p631 @p543 @p478 @p292) :args (false (@list false false true false) (@list @t349 @t286 @t237 @t222))) % 34.32/34.62 ) % 34.32/34.62 % SZS output end Proof % 34.32/34.62 % cvc5 exiting %------------------------------------------------------------------------------