%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX202-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 09:07:21 AM UTC 2026 % Result : Unsatisfiable 159.54s 159.80s % Output : Proof 159.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX202-1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n021.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:08:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.49/15.73 --- Run --no-e-matching --full-saturate-quant at 6... % 21.49/21.78 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.60/27.82 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.60/33.86 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.69/64.05 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.83/79.08 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.97/112.20 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.07/127.36 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.23/157.56 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 159.54/159.80 % SZS status Unsatisfiable % 159.54/159.80 % SZS output start Proof % 159.54/159.82 ( % 159.54/159.82 (declare-sort $$unsorted 0) % 159.54/159.82 (declare-const tptp.prop_msort_permutation_wrong2 (-> $$unsorted $$unsorted $$unsorted)) % 159.54/159.82 (declare-const tptp.eq2 (-> $$unsorted $$unsorted $$unsorted)) % 159.54/159.82 (declare-const tptp.div2 (-> $$unsorted $$unsorted)) % 159.54/159.82 (declare-const tptp.impl (-> $$unsorted $$unsorted $$unsorted)) % 159.54/159.82 (declare-const tptp.leqNat (-> $$unsorted $$unsorted $$unsorted)) % 159.54/159.82 (declare-const tptp.splitAtNat (-> $$unsorted $$unsorted $$unsorted)) % 159.54/159.82 (declare-const tptp.z $$unsorted) % 159.54/159.82 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 159.54/159.82 (declare-const tptp.pair2 (-> $$unsorted $$unsorted $$unsorted)) % 159.54/159.82 (declare-const tptp.merge (-> $$unsorted $$unsorted $$unsorted)) % 159.54/159.82 (declare-const tptp.bfalse $$unsorted) % 159.54/159.82 (declare-const tptp.eq (-> $$unsorted $$unsorted $$unsorted)) % 159.54/159.82 (declare-const tptp.btrue $$unsorted) % 159.54/159.82 (declare-const tptp.aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 159.54/159.82 (declare-const tptp.msort (-> $$unsorted $$unsorted)) % 159.54/159.82 (declare-const tptp.aux3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 159.54/159.82 (declare-const tptp.aux2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 159.54/159.82 (declare-const tptp.count (-> $$unsorted $$unsorted $$unsorted)) % 159.54/159.82 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 159.54/159.82 (declare-const tptp.nil $$unsorted) % 159.54/159.82 (declare-const tptp.lengthNat (-> $$unsorted $$unsorted)) % 159.54/159.82 (declare-const tptp.aux4 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 159.54/159.82 (define @t1 () (@var "Zs" $$unsorted)) % 159.54/159.82 (define @t2 () (@var "Ys1" $$unsorted)) % 159.54/159.82 (define @t3 () (@var "X2" $$unsorted)) % 159.54/159.82 (define @t4 () (tptp.pair2 @t2 @t1)) % 159.54/159.82 (define @t5 () (@var "X3" $$unsorted)) % 159.54/159.82 (define @t6 () (@var "Z" $$unsorted)) % 159.54/159.82 (define @t7 () (forall (@list @t6 @t3 @t5 @t2 @t1) (= (tptp.aux @t6 @t3 @t5 @t4) (tptp.pair2 (tptp.cons @t3 @t2) @t1)))) % 159.54/159.82 (define @t8 () (@var "Ys" $$unsorted)) % 159.54/159.82 (define @t9 () (@var "Y2" $$unsorted)) % 159.54/159.82 (define @t10 () (tptp.cons @t9 @t8)) % 159.54/159.82 (define @t11 () (@var "Xs" $$unsorted)) % 159.54/159.82 (define @t12 () (@list @t6 @t11 @t9 @t8)) % 159.54/159.82 (define @t13 () (tptp.cons @t6 @t11)) % 159.54/159.82 (define @t14 () (@var "Y" $$unsorted)) % 159.54/159.82 (define @t15 () (forall (@list @t14 @t3 @t5 @t2 @t1) (= (tptp.aux3 @t14 @t3 @t5 @t4) (tptp.merge (tptp.msort @t2) (tptp.msort @t1))))) % 159.54/159.82 (define @t16 () (@var "X" $$unsorted)) % 159.54/159.82 (define @t17 () (tptp.count @t16 @t11)) % 159.54/159.82 (define @t18 () (@list @t16 @t6 @t11)) % 159.54/159.82 (define @t19 () (tptp.aux4 @t16 @t6 @t11 tptp.bfalse)) % 159.54/159.82 (define @t20 () (forall @t18 (= @t19 @t17))) % 159.54/159.82 (define @t21 () (tptp.pair2 tptp.nil @t14)) % 159.54/159.82 (define @t22 () (tptp.splitAtNat tptp.z @t14)) % 159.54/159.82 (define @t23 () (= @t22 @t21)) % 159.54/159.82 (define @t24 () (@list @t14)) % 159.54/159.82 (define @t25 () (forall @t24 @t23)) % 159.54/159.82 (define @t26 () (tptp.s @t6)) % 159.54/159.82 (define @t27 () (@list @t6)) % 159.54/159.82 (define @t28 () (tptp.cons @t3 @t5)) % 159.54/159.82 (define @t29 () (tptp.leqNat tptp.z @t14)) % 159.54/159.82 (define @t30 () (forall @t24 (= @t29 tptp.btrue))) % 159.54/159.82 (define @t31 () (tptp.leqNat @t26 tptp.z)) % 159.54/159.82 (define @t32 () (forall @t27 (= @t31 tptp.bfalse))) % 159.54/159.82 (define @t33 () (@var "M" $$unsorted)) % 159.54/159.82 (define @t34 () (forall (@list @t6 @t33) (= (tptp.leqNat @t26 (tptp.s @t33)) (tptp.leqNat @t6 @t33)))) % 159.54/159.82 (define @t35 () (tptp.merge tptp.nil @t14)) % 159.54/159.82 (define @t36 () (forall @t24 (= @t35 @t14))) % 159.54/159.82 (define @t37 () (tptp.merge @t13 tptp.nil)) % 159.54/159.82 (define @t38 () (forall (@list @t6 @t11) (= @t37 @t13))) % 159.54/159.82 (define @t39 () (tptp.lengthNat tptp.nil)) % 159.54/159.82 (define @t40 () (forall (@list @t14 @t11) (= (tptp.lengthNat (tptp.cons @t14 @t11)) (tptp.s (tptp.lengthNat @t11))))) % 159.54/159.82 (define @t41 () (@var "Q" $$unsorted)) % 159.54/159.82 (define @t42 () (tptp.impl tptp.btrue @t41)) % 159.54/159.82 (define @t43 () (@list @t41)) % 159.54/159.82 (define @t44 () (forall @t43 (= @t42 @t41))) % 159.54/159.82 (define @t45 () (tptp.div2 tptp.z)) % 159.54/159.82 (define @t46 () (tptp.s tptp.z)) % 159.54/159.82 (define @t47 () (tptp.div2 @t46)) % 159.54/159.82 (define @t48 () (@var "N" $$unsorted)) % 159.54/159.82 (define @t49 () (tptp.cons @t14 tptp.nil)) % 159.54/159.82 (define @t50 () (tptp.msort @t49)) % 159.54/159.82 (define @t51 () (forall @t24 (= @t50 @t49))) % 159.54/159.82 (define @t52 () (tptp.cons @t14 @t28)) % 159.54/159.82 (define @t53 () (tptp.count @t16 tptp.nil)) % 159.54/159.82 (define @t54 () (@list @t16)) % 159.54/159.82 (define @t55 () (forall @t54 (= @t53 tptp.z))) % 159.54/159.82 (define @t56 () (tptp.s @t14)) % 159.54/159.82 (define @t57 () (tptp.eq (tptp.count @t56 @t16) (tptp.count @t14 (tptp.msort @t16)))) % 159.54/159.82 (define @t58 () (tptp.s @t46)) % 159.54/159.82 (define @t59 () (tptp.s @t58)) % 159.54/159.82 (define @t60 () (tptp.s @t59)) % 159.54/159.82 (define @t61 () (tptp.s @t60)) % 159.54/159.82 (define @t62 () (tptp.count @t14 @t16)) % 159.54/159.82 (define @t63 () (tptp.leqNat @t62 @t61)) % 159.54/159.82 (define @t64 () (tptp.eq2 @t63 tptp.bfalse)) % 159.54/159.82 (define @t65 () (tptp.impl @t64 @t57)) % 159.54/159.82 (define @t66 () (tptp.prop_msort_permutation_wrong2 @t16 @t14)) % 159.54/159.82 (define @t67 () (= @t66 @t65)) % 159.54/159.82 (define @t68 () (@list @t16 @t14)) % 159.54/159.82 (define @t69 () (forall @t68 @t67)) % 159.54/159.82 (define @t70 () (tptp.s @t16)) % 159.54/159.82 (define @t71 () (forall @t68 (= (tptp.eq @t70 @t56) (tptp.eq @t16 @t14)))) % 159.54/159.82 (define @t72 () (tptp.eq tptp.z @t70)) % 159.54/159.82 (define @t73 () (forall @t54 (= @t72 tptp.bfalse))) % 159.54/159.82 (define @t74 () (tptp.eq @t70 tptp.z)) % 159.54/159.82 (define @t75 () (forall @t54 (= @t74 tptp.bfalse))) % 159.54/159.82 (define @t76 () (tptp.eq @t16 @t16)) % 159.54/159.82 (define @t77 () (forall @t54 (= @t76 tptp.btrue))) % 159.54/159.82 (define @t78 () (tptp.eq2 @t16 @t16)) % 159.54/159.82 (define @t79 () (forall @t54 (= @t78 tptp.btrue))) % 159.54/159.82 (define @t80 () (tptp.eq2 @t66 tptp.bfalse)) % 159.54/159.82 (define @t81 () (not (= @t80 tptp.btrue))) % 159.54/159.82 (define @t82 () (forall @t68 @t81)) % 159.54/159.82 (define @t83 () (tptp.cons @t39 tptp.nil)) % 159.54/159.82 (define @t84 () (tptp.s @t39)) % 159.54/159.82 (define @t85 () (tptp.s @t84)) % 159.54/159.82 (define @t86 () (tptp.s @t85)) % 159.54/159.82 (define @t87 () (tptp.s @t86)) % 159.54/159.82 (define @t88 () (tptp.s @t87)) % 159.54/159.82 (define @t89 () (tptp.cons @t88 @t83)) % 159.54/159.82 (define @t90 () (tptp.count @t86 (tptp.msort @t89))) % 159.54/159.82 (define @t91 () (tptp.cons @t39 @t83)) % 159.54/159.82 (define @t92 () (tptp.cons @t39 @t91)) % 159.54/159.82 (define @t93 () (tptp.merge @t83 @t92)) % 159.54/159.82 (define @t94 () (tptp.cons @t39 @t93)) % 159.54/159.82 (define @t95 () (tptp.cons @t39 @t94)) % 159.54/159.82 (define @t96 () (@list @t95 @t90)) % 159.54/159.82 (define @t97 () (@list @t39 @t39 @t93)) % 159.54/159.82 (define @t98 () (@list @t39 tptp.nil @t39 @t91)) % 159.54/159.82 (define @t99 () (= tptp.btrue @t29)) % 159.54/159.82 (define @t100 () (@list @t39)) % 159.54/159.82 (define @t101 () (@list @t91)) % 159.54/159.82 (define @t102 () (@list @t83)) % 159.54/159.82 (define @t103 () (tptp.merge tptp.nil @t83)) % 159.54/159.82 (define @t104 () (tptp.cons @t39 @t103)) % 159.54/159.82 (define @t105 () (tptp.merge tptp.nil @t104)) % 159.54/159.82 (define @t106 () (@list @t39 tptp.nil @t39 @t103)) % 159.54/159.82 (define @t107 () (tptp.leqNat @t39 @t39)) % 159.54/159.82 (define @t108 () (tptp.merge @t83 @t91)) % 159.54/159.82 (define @t109 () (tptp.cons @t39 @t108)) % 159.54/159.82 (define @t110 () (@list @t39 @t83 @t39 @t83)) % 159.54/159.82 (define @t111 () (tptp.merge @t91 @t91)) % 159.54/159.82 (define @t112 () (tptp.cons @t39 @t111)) % 159.54/159.82 (define @t113 () (@list @t39 tptp.nil @t39 @t108)) % 159.54/159.82 (define @t114 () (tptp.merge @t103 @t109)) % 159.54/159.82 (define @t115 () (tptp.cons @t39 @t114)) % 159.54/159.82 (define @t116 () (@list @t39 tptp.nil)) % 159.54/159.82 (define @t117 () (tptp.merge @t83 tptp.nil)) % 159.54/159.82 (define @t118 () (tptp.cons @t39 @t117)) % 159.54/159.82 (define @t119 () (tptp.lengthNat @t83)) % 159.54/159.82 (define @t120 () (= @t119 @t84)) % 159.54/159.82 (define @t121 () (@list false)) % 159.54/159.82 (define @t122 () (@list @t40)) % 159.54/159.82 (define @t123 () (tptp.s @t88)) % 159.54/159.82 (define @t124 () (@list @t87)) % 159.54/159.82 (define @t125 () (@list @t85)) % 159.54/159.82 (define @t126 () (tptp.cons @t39 @t109)) % 159.54/159.82 (define @t127 () (@list @t84)) % 159.54/159.82 (define @t128 () (tptp.div2 @t86)) % 159.54/159.82 (define @t129 () (@list @t86)) % 159.54/159.82 (define @t130 () (tptp.lengthNat @t126)) % 159.54/159.82 (define @t131 () (tptp.div2 @t130)) % 159.54/159.82 (define @t132 () (@list @t84 @t39 @t93)) % 159.54/159.82 (define @t133 () (@list @t39 @t39 @t108)) % 159.54/159.82 (define @t134 () (tptp.splitAtNat @t39 @t14)) % 159.54/159.82 (define @t135 () (@list @t39 @t39 @t83)) % 159.54/159.82 (define @t136 () (@list @t39 @t39 @t91)) % 159.54/159.82 (define @t137 () (tptp.aux @t39 @t39 @t91 (tptp.pair2 tptp.nil @t91))) % 159.54/159.82 (define @t138 () (tptp.pair2 @t83 @t91)) % 159.54/159.82 (define @t139 () (= @t137 @t138)) % 159.54/159.82 (define @t140 () (@list @t7)) % 159.54/159.82 (define @t141 () (@list @t39 @t39 tptp.nil)) % 159.54/159.82 (define @t142 () (tptp.pair2 tptp.nil @t83)) % 159.54/159.82 (define @t143 () (tptp.aux @t39 @t39 @t103 @t142)) % 159.54/159.82 (define @t144 () (tptp.pair2 @t83 @t83)) % 159.54/159.82 (define @t145 () (= @t143 @t144)) % 159.54/159.82 (define @t146 () (tptp.aux3 @t39 @t39 tptp.nil @t144)) % 159.54/159.82 (define @t147 () (tptp.msort @t83)) % 159.54/159.82 (define @t148 () (tptp.merge @t147 @t147)) % 159.54/159.82 (define @t149 () (= @t146 @t148)) % 159.54/159.82 (define @t150 () (@list @t39 tptp.nil @t39 tptp.nil)) % 159.54/159.82 (define @t151 () (@list @t39 @t91 @t39 @t91)) % 159.54/159.82 (define @t152 () (@list @t39 @t83 @t39 @t91)) % 159.54/159.82 (define @t153 () (@list @t39 @t103 @t39 @t108)) % 159.54/159.82 (define @t154 () (tptp.merge @t91 @t109)) % 159.54/159.82 (define @t155 () (tptp.count @t90 @t154)) % 159.54/159.82 (define @t156 () (@list @t90 @t39 @t114)) % 159.54/159.82 (define @t157 () (tptp.lengthNat @t89)) % 159.54/159.82 (define @t158 () (tptp.s @t119)) % 159.54/159.82 (define @t159 () (= @t157 @t158)) % 159.54/159.82 (define @t160 () (tptp.cons @t88 tptp.nil)) % 159.54/159.82 (define @t161 () (@list @t88)) % 159.54/159.82 (define @t162 () (@list @t88 tptp.nil @t39 tptp.nil)) % 159.54/159.82 (define @t163 () (= tptp.bfalse @t31)) % 159.54/159.82 (define @t164 () (tptp.cons @t39 @t160)) % 159.54/159.82 (define @t165 () (= tptp.bfalse @t72)) % 159.54/159.82 (define @t166 () (tptp.msort (tptp.msort @t160))) % 159.54/159.82 (define @t167 () (tptp.msort @t166)) % 159.54/159.82 (define @t168 () (@list @t86 @t88 tptp.nil)) % 159.54/159.82 (define @t169 () (tptp.eq @t88 @t86)) % 159.54/159.82 (define @t170 () (tptp.eq @t87 @t85)) % 159.54/159.82 (define @t171 () (= @t169 @t170)) % 159.54/159.82 (define @t172 () (@list @t71)) % 159.54/159.82 (define @t173 () (tptp.eq @t86 @t84)) % 159.54/159.82 (define @t174 () (= @t170 @t173)) % 159.54/159.82 (define @t175 () (tptp.eq @t85 @t39)) % 159.54/159.82 (define @t176 () (= @t173 @t175)) % 159.54/159.82 (define @t177 () (= tptp.bfalse @t74)) % 159.54/159.82 (define @t178 () (= tptp.z @t53)) % 159.54/159.82 (define @t179 () (@list @t84 @t39 @t91)) % 159.54/159.82 (define @t180 () (@list @t84 @t39 tptp.nil)) % 159.54/159.82 (define @t181 () (tptp.count @t39 @t147)) % 159.54/159.82 (define @t182 () (tptp.eq (tptp.count @t84 @t83) @t181)) % 159.54/159.82 (define @t183 () (tptp.leqNat @t86 @t85)) % 159.54/159.82 (define @t184 () (tptp.leqNat @t85 @t84)) % 159.54/159.82 (define @t185 () (= @t183 @t184)) % 159.54/159.82 (define @t186 () (@list @t34)) % 159.54/159.82 (define @t187 () (tptp.leqNat @t84 @t39)) % 159.54/159.82 (define @t188 () (= @t184 @t187)) % 159.54/159.82 (define @t189 () (tptp.eq2 tptp.bfalse tptp.bfalse)) % 159.54/159.82 (define @t190 () (forall @t68 (not (= tptp.btrue @t80)))) % 159.54/159.82 (define @t191 () (= tptp.btrue (tptp.eq2 (tptp.prop_msort_permutation_wrong2 @t95 @t90) tptp.bfalse))) % 159.54/159.82 (assume @p1 @t7) % 159.54/159.82 (assume @p2 (forall @t12 (= (tptp.aux2 @t6 @t11 @t9 @t8 tptp.btrue) (tptp.cons @t6 (tptp.merge @t11 @t10))))) % 159.54/159.82 (assume @p3 (forall @t12 (= (tptp.aux2 @t6 @t11 @t9 @t8 tptp.bfalse) (tptp.cons @t9 (tptp.merge @t13 @t8))))) % 159.54/159.82 (assume @p4 @t15) % 159.54/159.82 (assume @p5 (forall @t18 (= (tptp.aux4 @t16 @t6 @t11 tptp.btrue) (tptp.s @t17)))) % 159.54/159.82 (assume @p6 @t20) % 159.54/159.82 (assume @p7 @t25) % 159.54/159.82 (assume @p8 (forall @t27 (= (tptp.splitAtNat @t26 tptp.nil) (tptp.pair2 tptp.nil tptp.nil)))) % 159.54/159.82 (assume @p9 (forall (@list @t6 @t3 @t5) (= (tptp.splitAtNat @t26 @t28) (tptp.aux @t6 @t3 @t5 (tptp.splitAtNat @t6 @t5))))) % 159.54/159.82 (assume @p10 @t30) % 159.54/159.82 (assume @p11 @t32) % 159.54/159.82 (assume @p12 @t34) % 159.54/159.82 (assume @p13 @t36) % 159.54/159.82 (assume @p14 @t38) % 159.54/159.82 (assume @p15 (forall @t12 (= (tptp.merge @t13 @t10) (tptp.aux2 @t6 @t11 @t9 @t8 (tptp.leqNat @t6 @t9))))) % 159.54/159.82 (assume @p16 (= @t39 tptp.z)) % 159.54/159.82 (assume @p17 @t40) % 159.54/159.82 (assume @p18 @t44) % 159.54/159.82 (assume @p19 (forall @t43 (= (tptp.impl tptp.bfalse @t41) tptp.btrue))) % 159.54/159.82 (assume @p20 (= @t45 tptp.z)) % 159.54/159.82 (assume @p21 (= @t47 tptp.z)) % 159.54/159.82 (assume @p22 (forall (@list @t48) (= (tptp.div2 (tptp.s (tptp.s @t48))) (tptp.s (tptp.div2 @t48))))) % 159.54/159.82 (assume @p23 (= (tptp.msort tptp.nil) tptp.nil)) % 159.54/159.82 (assume @p24 @t51) % 159.54/159.82 (assume @p25 (forall (@list @t14 @t3 @t5) (= (tptp.msort @t52) (tptp.aux3 @t14 @t3 @t5 (tptp.splitAtNat (tptp.div2 (tptp.lengthNat @t52)) @t52))))) % 159.54/159.82 (assume @p26 @t55) % 159.54/159.82 (assume @p27 (forall @t18 (= (tptp.count @t16 @t13) (tptp.aux4 @t16 @t6 @t11 (tptp.eq @t6 @t16))))) % 159.54/159.82 (assume @p28 @t69) % 159.54/159.82 (assume @p29 (= (tptp.eq2 tptp.bfalse tptp.btrue) tptp.bfalse)) % 159.54/159.82 (assume @p30 (= (tptp.eq2 tptp.btrue tptp.bfalse) tptp.bfalse)) % 159.54/159.82 (assume @p31 @t71) % 159.54/159.82 (assume @p32 @t73) % 159.54/159.82 (assume @p33 @t75) % 159.54/159.82 (assume @p34 @t77) % 159.54/159.82 (assume @p35 @t79) % 159.54/159.82 (assume @p36 @t82) % 159.54/159.82 (step @p37 :rule eq-symm :args (@t80 tptp.btrue)) % 159.54/159.82 (step @p38 :rule cong :premises (@p37) :args (@t81)) % 159.54/159.82 (step @p39 :rule cong :premises (@p38) :args (@t82)) % 159.54/159.82 (step @p40 :rule eq_resolve :premises (@p36 @p39)) % 159.54/159.82 (step @p41 :rule refl :args (tptp.bfalse)) % 159.54/159.82 (step @p42 :rule refl :args (@t57)) % 159.54/159.82 (step @p43 :rule symm :premises (@p16)) % 159.54/159.82 (step @p44 :rule cong :premises (@p43) :args (@t46)) % 159.54/159.82 (step @p45 :rule cong :premises (@p44) :args (@t58)) % 159.54/159.82 (step @p46 :rule cong :premises (@p45) :args (@t59)) % 159.54/159.82 (step @p47 :rule cong :premises (@p46) :args (@t60)) % 159.54/159.82 (step @p48 :rule cong :premises (@p47) :args (@t61)) % 159.54/159.82 (step @p49 :rule refl :args (@t62)) % 159.54/159.82 (step @p50 :rule cong :premises (@p49 @p48) :args (@t63)) % 159.54/159.82 (step @p51 :rule cong :premises (@p50 @p41) :args (@t64)) % 159.54/159.82 (step @p52 :rule cong :premises (@p51 @p42) :args (@t65)) % 159.54/159.82 (step @p53 :rule refl :args (@t66)) % 159.54/159.82 (step @p54 :rule cong :premises (@p53 @p52) :args (@t67)) % 159.54/159.82 (step @p55 :rule cong :premises (@p54) :args (@t69)) % 159.54/159.82 (step @p56 :rule eq_resolve :premises (@p28 @p55)) % 159.54/159.82 (step @p57 :rule instantiate :premises (@p56) :args (@t96)) % 159.54/159.82 (step @p58 :rule symm :premises (@p57)) % 159.54/159.82 (step @p59 :rule instantiate :premises (@p25) :args (@t97)) % 159.54/159.82 (step @p60 :rule symm :premises (@p59)) % 159.54/159.82 (step @p61 :rule instantiate :premises (@p15) :args (@t98)) % 159.54/159.82 (step @p62 :rule symm :premises (@p61)) % 159.54/159.82 (step @p63 :rule refl :args (@t14)) % 159.54/159.82 (step @p64 :rule cong :premises (@p43 @p63) :args (@t29)) % 159.54/159.82 (step @p65 :rule refl :args (tptp.btrue)) % 159.54/159.82 (step @p66 :rule cong :premises (@p65 @p64) :args (@t99)) % 159.54/159.82 (step @p67 :rule cong :premises (@p66) :args ((forall @t24 @t99))) % 159.54/159.82 (step @p68 :rule eq-symm :args (@t29 tptp.btrue)) % 159.54/159.82 (step @p69 :rule cong :premises (@p68) :args (@t30)) % 159.54/159.82 (step @p70 :rule trans :premises (@p69 @p67)) % 159.54/159.82 (step @p71 :rule eq_resolve :premises (@p10 @p70)) % 159.54/159.82 (step @p72 :rule instantiate :premises (@p71) :args (@t100)) % 159.54/159.82 (step @p73 :rule refl :args (@t91)) % 159.54/159.82 (step @p74 :rule refl :args (@t39)) % 159.54/159.82 (step @p75 :rule refl :args (tptp.nil)) % 159.54/159.82 (step @p76 :rule cong :premises (@p74 @p75 @p74 @p73 @p72) :args ((tptp.aux2 @t39 tptp.nil @t39 @t91 tptp.btrue))) % 159.54/159.82 (step @p77 :rule instantiate :premises (@p2) :args (@t98)) % 159.54/159.82 (step @p78 :rule symm :premises (@p77)) % 159.54/159.82 (step @p79 :rule eq-symm :args (@t35 @t14)) % 159.54/159.82 (step @p80 :rule cong :premises (@p79) :args (@t36)) % 159.54/159.82 (step @p81 :rule eq_resolve :premises (@p13 @p80)) % 159.54/159.82 (step @p82 :rule instantiate :premises (@p81) :args ((@list @t92))) % 159.54/159.82 (step @p83 :rule cong :premises (@p74 @p82) :args ((tptp.cons @t39 @t92))) % 159.54/159.82 (step @p84 :rule instantiate :premises (@p81) :args (@t101)) % 159.54/159.82 (step @p85 :rule symm :premises (@p84)) % 159.54/159.82 (step @p86 :rule instantiate :premises (@p81) :args (@t102)) % 159.54/159.82 (step @p87 :rule symm :premises (@p86)) % 159.54/159.82 (step @p88 :rule cong :premises (@p74 @p87) :args (@t104)) % 159.54/159.82 (step @p89 :rule cong :premises (@p75 @p88) :args (@t105)) % 159.54/159.82 (step @p90 :rule trans :premises (@p89 @p85)) % 159.54/159.82 (step @p91 :rule cong :premises (@p74 @p90) :args ((tptp.cons @t39 @t105))) % 159.54/159.82 (step @p92 :rule instantiate :premises (@p2) :args (@t106)) % 159.54/159.82 (step @p93 :rule symm :premises (@p72)) % 159.54/159.82 (step @p94 :rule refl :args (@t103)) % 159.54/159.82 (step @p95 :rule cong :premises (@p74 @p75 @p74 @p94 @p93) :args ((tptp.aux2 @t39 tptp.nil @t39 @t103 @t107))) % 159.54/159.82 (step @p96 :rule instantiate :premises (@p15) :args (@t106)) % 159.54/159.82 (step @p97 :rule symm :premises (@p88)) % 159.54/159.82 (step @p98 :rule refl :args (@t83)) % 159.54/159.82 (step @p99 :rule cong :premises (@p98 @p97) :args (@t108)) % 159.54/159.82 (step @p100 :rule trans :premises (@p99 @p96 @p95 @p92 @p91)) % 159.54/159.82 (step @p101 :rule cong :premises (@p74 @p100) :args (@t109)) % 159.54/159.82 (step @p102 :rule instantiate :premises (@p2) :args (@t110)) % 159.54/159.82 (step @p103 :rule cong :premises (@p74 @p98 @p74 @p98 @p93) :args ((tptp.aux2 @t39 @t83 @t39 @t83 @t107))) % 159.54/159.82 (step @p104 :rule instantiate :premises (@p15) :args (@t110)) % 159.54/159.82 (step @p105 :rule trans :premises (@p104 @p103 @p102 @p101 @p83 @p78 @p76 @p62)) % 159.54/159.82 (step @p106 :rule cong :premises (@p74 @p105) :args (@t112)) % 159.54/159.82 (step @p107 :rule symm :premises (@p104)) % 159.54/159.82 (step @p108 :rule symm :premises (@p103)) % 159.54/159.82 (step @p109 :rule symm :premises (@p102)) % 159.54/159.82 (step @p110 :rule instantiate :premises (@p81) :args ((@list @t109))) % 159.54/159.82 (step @p111 :rule symm :premises (@p110)) % 159.54/159.82 (step @p112 :rule trans :premises (@p111 @p109 @p108 @p107)) % 159.54/159.82 (step @p113 :rule cong :premises (@p74 @p112) :args ((tptp.cons @t39 (tptp.merge tptp.nil @t109)))) % 159.54/159.82 (step @p114 :rule instantiate :premises (@p2) :args (@t113)) % 159.54/159.82 (step @p115 :rule refl :args (@t108)) % 159.54/159.82 (step @p116 :rule cong :premises (@p74 @p75 @p74 @p115 @p93) :args ((tptp.aux2 @t39 tptp.nil @t39 @t108 @t107))) % 159.54/159.82 (step @p117 :rule instantiate :premises (@p15) :args (@t113)) % 159.54/159.82 (step @p118 :rule refl :args (@t109)) % 159.54/159.82 (step @p119 :rule cong :premises (@p87 @p118) :args (@t114)) % 159.54/159.82 (step @p120 :rule trans :premises (@p119 @p117 @p116 @p114 @p113 @p106)) % 159.54/159.82 (step @p121 :rule cong :premises (@p74 @p120) :args (@t115)) % 159.54/159.82 (step @p122 :rule cong :premises (@p121) :args ((tptp.lengthNat @t115))) % 159.54/159.82 (step @p123 :rule instantiate :premises (@p17) :args ((@list @t39 @t114))) % 159.54/159.82 (step @p124 :rule symm :premises (@p123)) % 159.54/159.82 (step @p125 :rule symm :premises (@p119)) % 159.54/159.82 (step @p126 :rule symm :premises (@p117)) % 159.54/159.82 (step @p127 :rule symm :premises (@p116)) % 159.54/159.82 (step @p128 :rule symm :premises (@p114)) % 159.54/159.82 (step @p129 :rule symm :premises (@p113)) % 159.54/159.82 (step @p130 :rule trans :premises (@p129 @p128 @p127 @p126 @p125)) % 159.54/159.82 (step @p131 :rule cong :premises (@p130) :args ((tptp.lengthNat @t112))) % 159.54/159.82 (step @p132 :rule instantiate :premises (@p17) :args ((@list @t39 @t111))) % 159.54/159.82 (step @p133 :rule symm :premises (@p132)) % 159.54/159.82 (step @p134 :rule trans :premises (@p109 @p108 @p107)) % 159.54/159.82 (step @p135 :rule cong :premises (@p134) :args ((tptp.lengthNat @t109))) % 159.54/159.82 (step @p136 :rule instantiate :premises (@p17) :args ((@list @t39 @t108))) % 159.54/159.82 (step @p137 :rule symm :premises (@p136)) % 159.54/159.82 (step @p138 :rule symm :premises (@p100)) % 159.54/159.82 (step @p139 :rule cong :premises (@p138) :args ((tptp.lengthNat @t92))) % 159.54/159.82 (step @p140 :rule instantiate :premises (@p17) :args ((@list @t39 @t91))) % 159.54/159.82 (step @p141 :rule symm :premises (@p140)) % 159.54/159.82 (step @p142 :rule eq-symm :args (@t37 @t13)) % 159.54/159.82 (step @p143 :rule cong :premises (@p142) :args (@t38)) % 159.54/159.82 (step @p144 :rule eq_resolve :premises (@p14 @p143)) % 159.54/159.82 (step @p145 :rule instantiate :premises (@p144) :args (@t116)) % 159.54/159.82 (step @p146 :rule symm :premises (@p145)) % 159.54/159.82 (step @p147 :rule cong :premises (@p74 @p146) :args (@t118)) % 159.54/159.82 (step @p148 :rule cong :premises (@p147) :args ((tptp.lengthNat @t118))) % 159.54/159.82 (step @p149 :rule instantiate :premises (@p17) :args ((@list @t39 @t117))) % 159.54/159.82 (step @p150 :rule symm :premises (@p149)) % 159.54/159.82 (step @p151 :rule cong :premises (@p145) :args (@t119)) % 159.54/159.82 (step @p152 :rule eq-symm :args (@t119 @t84)) % 159.54/159.82 (step @p153 :rule refl :args (@t40)) % 159.54/159.82 (step @p154 :rule cong :premises (@p153 @p152) :args ((=> @t40 @t120))) % 159.54/159.82 (assume-push @p629 @t40) % 159.54/159.82 (step @p156 :rule instantiate :premises (@p17) :args (@t116)) % 159.54/159.82 (step-pop @p630 :rule scope :premises (@p156)) % 159.54/159.82 (step @p157 :rule process_scope :premises (@p630) :args (@t120)) % 159.54/159.82 (step @p159 :rule eq_resolve :premises (@p157 @p154)) % 159.54/159.82 (step @p160 :rule implies_elim :premises (@p159)) % 159.54/159.82 (step @p161 :rule chain_m_resolution :premises (@p160 @p17) :args ((= @t84 @t119) @t121 @t122)) % 159.54/159.82 (step @p162 :rule trans :premises (@p161 @p151)) % 159.54/159.82 (step @p163 :rule cong :premises (@p162) :args (@t85)) % 159.54/159.82 (step @p164 :rule trans :premises (@p163 @p150 @p148)) % 159.54/159.82 (step @p165 :rule cong :premises (@p164) :args (@t86)) % 159.54/159.82 (step @p166 :rule trans :premises (@p165 @p141 @p139)) % 159.54/159.82 (step @p167 :rule cong :premises (@p166) :args (@t87)) % 159.54/159.82 (step @p168 :rule trans :premises (@p167 @p137 @p135)) % 159.54/159.82 (step @p169 :rule cong :premises (@p168) :args (@t88)) % 159.54/159.82 (step @p170 :rule trans :premises (@p169 @p133 @p131)) % 159.54/159.82 (step @p171 :rule cong :premises (@p170) :args (@t123)) % 159.54/159.82 (step @p172 :rule trans :premises (@p171 @p124 @p122)) % 159.54/159.82 (step @p173 :rule cong :premises (@p172) :args ((tptp.div2 @t123))) % 159.54/159.82 (step @p174 :rule instantiate :premises (@p22) :args (@t124)) % 159.54/159.82 (step @p175 :rule symm :premises (@p174)) % 159.54/159.82 (step @p176 :rule instantiate :premises (@p22) :args (@t125)) % 159.54/159.82 (step @p177 :rule symm :premises (@p176)) % 159.54/159.82 (step @p178 :rule instantiate :premises (@p22) :args (@t100)) % 159.54/159.82 (step @p179 :rule symm :premises (@p178)) % 159.54/159.82 (step @p180 :rule cong :premises (@p43) :args (@t45)) % 159.54/159.82 (step @p181 :rule cong :premises (@p43 @p180) :args ((= tptp.z @t45))) % 159.54/159.82 (step @p182 :rule eq-symm :args (@t45 tptp.z)) % 159.54/159.82 (step @p183 :rule trans :premises (@p182 @p181)) % 159.54/159.82 (step @p184 :rule eq_resolve :premises (@p20 @p183)) % 159.54/159.82 (step @p185 :rule cong :premises (@p184) :args (@t84)) % 159.54/159.82 (step @p186 :rule trans :premises (@p185 @p179)) % 159.54/159.82 (step @p187 :rule cong :premises (@p186) :args (@t85)) % 159.54/159.82 (step @p188 :rule trans :premises (@p187 @p177)) % 159.54/159.82 (step @p189 :rule cong :premises (@p188) :args (@t86)) % 159.54/159.82 (step @p190 :rule trans :premises (@p189 @p175 @p173)) % 159.54/159.82 (step @p191 :rule cong :premises (@p190 @p121) :args ((tptp.splitAtNat @t86 @t115))) % 159.54/159.82 (step @p192 :rule instantiate :premises (@p9) :args ((@list @t85 @t39 @t114))) % 159.54/159.82 (step @p193 :rule symm :premises (@p192)) % 159.54/159.82 (step @p194 :rule cong :premises (@p74 @p134) :args (@t126)) % 159.54/159.82 (step @p195 :rule trans :premises (@p194 @p129 @p128 @p127 @p126 @p125)) % 159.54/159.82 (step @p196 :rule cong :premises (@p44) :args (@t47)) % 159.54/159.82 (step @p197 :rule cong :premises (@p43 @p196) :args ((= tptp.z @t47))) % 159.54/159.82 (step @p198 :rule eq-symm :args (@t47 tptp.z)) % 159.54/159.82 (step @p199 :rule trans :premises (@p198 @p197)) % 159.54/159.82 (step @p200 :rule eq_resolve :premises (@p21 @p199)) % 159.54/159.82 (step @p201 :rule symm :premises (@p200)) % 159.54/159.82 (step @p202 :rule cong :premises (@p201) :args ((tptp.s (tptp.div2 @t84)))) % 159.54/159.82 (step @p203 :rule instantiate :premises (@p22) :args (@t127)) % 159.54/159.82 (step @p204 :rule trans :premises (@p203 @p202)) % 159.54/159.82 (step @p205 :rule cong :premises (@p204) :args ((tptp.s @t128))) % 159.54/159.82 (step @p206 :rule instantiate :premises (@p22) :args (@t129)) % 159.54/159.82 (step @p207 :rule symm :premises (@p169)) % 159.54/159.82 (step @p208 :rule cong :premises (@p194) :args (@t130)) % 159.54/159.82 (step @p209 :rule trans :premises (@p208 @p132 @p207)) % 159.54/159.82 (step @p210 :rule cong :premises (@p209) :args (@t131)) % 159.54/159.82 (step @p211 :rule trans :premises (@p210 @p206 @p205)) % 159.54/159.82 (step @p212 :rule cong :premises (@p211 @p195) :args ((tptp.splitAtNat @t131 @t126))) % 159.54/159.82 (step @p213 :rule symm :premises (@p194)) % 159.54/159.82 (step @p214 :rule symm :premises (@p106)) % 159.54/159.82 (step @p215 :rule trans :premises (@p214 @p213)) % 159.54/159.82 (step @p216 :rule symm :premises (@p211)) % 159.54/159.82 (step @p217 :rule cong :premises (@p216 @p215) :args ((tptp.splitAtNat @t85 @t94))) % 159.54/159.82 (step @p218 :rule instantiate :premises (@p9) :args (@t132)) % 159.54/159.82 (step @p219 :rule symm :premises (@p218)) % 159.54/159.82 (step @p220 :rule trans :premises (@p101 @p83 @p78 @p76 @p62)) % 159.54/159.82 (step @p221 :rule refl :args (@t84)) % 159.54/159.82 (step @p222 :rule cong :premises (@p221 @p220) :args ((tptp.splitAtNat @t84 @t109))) % 159.54/159.82 (step @p223 :rule instantiate :premises (@p9) :args (@t133)) % 159.54/159.82 (step @p224 :rule symm :premises (@p223)) % 159.54/159.82 (step @p225 :rule eq-symm :args (@t134 @t21)) % 159.54/159.82 (step @p226 :rule cong :premises (@p225) :args ((forall @t24 (= @t134 @t21)))) % 159.54/159.82 (step @p227 :rule refl :args (@t21)) % 159.54/159.82 (step @p228 :rule cong :premises (@p43 @p63) :args (@t22)) % 159.54/159.82 (step @p229 :rule cong :premises (@p228 @p227) :args (@t23)) % 159.54/159.82 (step @p230 :rule cong :premises (@p229) :args (@t25)) % 159.54/159.82 (step @p231 :rule trans :premises (@p230 @p226)) % 159.54/159.82 (step @p232 :rule eq_resolve :premises (@p7 @p231)) % 159.54/159.82 (step @p233 :rule instantiate :premises (@p232) 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:args ((forall @t54 @t177))) % 159.54/159.82 (step @p465 :rule eq-symm :args (@t74 tptp.bfalse)) % 159.54/159.82 (step @p466 :rule cong :premises (@p465) :args (@t75)) % 159.54/159.82 (step @p467 :rule trans :premises (@p466 @p464)) % 159.54/159.82 (step @p468 :rule eq_resolve :premises (@p33 @p467)) % 159.54/159.82 (step @p469 :rule instantiate :premises (@p468) :args (@t127)) % 159.54/159.82 (step @p470 :rule trans :premises (@p469 @p461 @p452 @p443)) % 159.54/159.82 (step @p471 :rule cong :premises (@p407 @p380 @p75 @p470) :args ((tptp.aux4 @t86 @t88 tptp.nil tptp.bfalse))) % 159.54/159.82 (step @p472 :rule instantiate :premises (@p428) :args (@t168)) % 159.54/159.82 (step @p473 :rule refl :args (@t53)) % 159.54/159.82 (step @p474 :rule cong :premises (@p43 @p473) :args (@t178)) % 159.54/159.82 (step @p475 :rule cong :premises (@p474) :args ((forall @t54 @t178))) % 159.54/159.82 (step @p476 :rule eq-symm :args (@t53 tptp.z)) % 159.54/159.82 (step @p477 :rule cong :premises (@p476) :args (@t55)) % 159.54/159.82 (step @p478 :rule trans :premises (@p477 @p475)) % 159.54/159.82 (step @p479 :rule eq_resolve :premises (@p26 @p478)) % 159.54/159.82 (step @p480 :rule instantiate :premises (@p479) :args (@t129)) % 159.54/159.82 (step @p481 :rule trans :premises (@p480 @p472 @p471 @p433 @p431 @p429 @p425 @p410 @p408)) % 159.54/159.82 (step @p482 :rule cong :premises (@p74 @p481) :args ((tptp.eq @t39 @t39))) % 159.54/159.82 (step @p483 :rule eq-symm :args (@t76 tptp.btrue)) % 159.54/159.82 (step @p484 :rule cong :premises (@p483) :args (@t77)) % 159.54/159.82 (step @p485 :rule eq_resolve :premises (@p34 @p484)) % 159.54/159.82 (step @p486 :rule instantiate :premises (@p485) :args (@t100)) % 159.54/159.82 (step @p487 :rule trans :premises (@p486 @p482)) % 159.54/159.82 (step @p488 :rule cong :premises (@p349 @p74 @p243 @p487) :args ((tptp.aux4 @t90 @t39 @t114 tptp.btrue))) % 159.54/159.82 (step @p489 :rule instantiate :premises (@p5) :args (@t156)) % 159.54/159.82 (step @p490 :rule symm :premises (@p489)) % 159.54/159.82 (step @p491 :rule symm :premises (@p120)) % 159.54/159.82 (step @p492 :rule cong :premises (@p481 @p491) :args ((tptp.count @t39 @t94))) % 159.54/159.82 (step @p493 :rule instantiate :premises (@p27) :args (@t97)) % 159.54/159.82 (step @p494 :rule symm :premises (@p493)) % 159.54/159.82 (step @p495 :rule cong :premises (@p74 @p74 @p238 @p486) :args ((tptp.aux4 @t39 @t39 @t93 tptp.btrue))) % 159.54/159.82 (step @p496 :rule instantiate :premises (@p5) :args (@t97)) % 159.54/159.82 (step @p497 :rule symm :premises (@p496)) % 159.54/159.82 (step @p498 :rule cong :premises (@p74 @p220) :args ((tptp.count @t39 @t109))) % 159.54/159.82 (step @p499 :rule instantiate :premises (@p27) :args (@t133)) % 159.54/159.82 (step @p500 :rule symm :premises (@p499)) % 159.54/159.82 (step @p501 :rule cong :premises (@p74 @p74 @p115 @p486) :args ((tptp.aux4 @t39 @t39 @t108 tptp.btrue))) % 159.54/159.82 (step @p502 :rule instantiate :premises (@p5) :args (@t133)) % 159.54/159.82 (step @p503 :rule symm :premises (@p502)) % 159.54/159.82 (step @p504 :rule cong :premises (@p74 @p138) :args ((tptp.count @t39 @t92))) % 159.54/159.82 (step @p505 :rule instantiate :premises (@p27) :args (@t136)) % 159.54/159.82 (step @p506 :rule symm :premises (@p505)) % 159.54/159.82 (step @p507 :rule cong :premises (@p74 @p74 @p73 @p486) :args ((tptp.aux4 @t39 @t39 @t91 tptp.btrue))) % 159.54/159.82 (step @p508 :rule instantiate :premises (@p5) :args (@t136)) % 159.54/159.82 (step @p509 :rule symm :premises (@p508)) % 159.54/159.82 (step @p510 :rule instantiate :premises (@p27) :args (@t135)) % 159.54/159.82 (step @p511 :rule symm :premises (@p510)) % 159.54/159.82 (step @p512 :rule cong :premises (@p74 @p74 @p98 @p486) :args ((tptp.aux4 @t39 @t39 @t83 tptp.btrue))) % 159.54/159.82 (step @p513 :rule instantiate :premises (@p5) :args (@t135)) % 159.54/159.82 (step @p514 :rule symm :premises (@p513)) % 159.54/159.82 (step @p515 :rule instantiate :premises (@p27) :args (@t141)) % 159.54/159.82 (step @p516 :rule symm :premises (@p515)) % 159.54/159.82 (step @p517 :rule cong :premises (@p74 @p74 @p75 @p486) :args ((tptp.aux4 @t39 @t39 tptp.nil tptp.btrue))) % 159.54/159.82 (step @p518 :rule instantiate :premises (@p5) :args (@t141)) % 159.54/159.82 (step @p519 :rule symm :premises (@p518)) % 159.54/159.82 (step @p520 :rule instantiate :premises (@p479) :args (@t100)) % 159.54/159.82 (step @p521 :rule cong :premises (@p520) :args (@t84)) % 159.54/159.82 (step @p522 :rule trans :premises (@p521 @p519 @p517 @p516)) % 159.54/159.82 (step @p523 :rule cong :premises (@p522) :args (@t85)) % 159.54/159.82 (step @p524 :rule trans :premises (@p523 @p514 @p512 @p511)) % 159.54/159.82 (step @p525 :rule cong :premises (@p524) :args (@t86)) % 159.54/159.82 (step @p526 :rule trans :premises (@p525 @p509 @p507 @p506 @p504)) % 159.54/159.82 (step @p527 :rule cong :premises (@p526) :args (@t87)) % 159.54/159.82 (step @p528 :rule trans :premises (@p527 @p503 @p501 @p500 @p498)) % 159.54/159.82 (step @p529 :rule cong :premises (@p528) :args (@t88)) % 159.54/159.82 (step @p530 :rule trans :premises (@p529 @p497 @p495 @p494 @p492)) % 159.54/159.82 (step @p531 :rule cong :premises (@p530) :args (@t123)) % 159.54/159.82 (step @p532 :rule trans :premises (@p531 @p490 @p488 @p358 @p356 @p350)) % 159.54/159.82 (step @p533 :rule cong :premises (@p481) :args (@t84)) % 159.54/159.82 (step @p534 :rule cong :premises (@p533 @p121) :args ((tptp.count @t84 @t115))) % 159.54/159.82 (step @p535 :rule instantiate :premises (@p27) :args ((@list @t84 @t39 @t114))) % 159.54/159.82 (step @p536 :rule symm :premises (@p535)) % 159.54/159.82 (step @p537 :rule instantiate :premises (@p418) :args (@t100)) % 159.54/159.82 (step @p538 :rule cong :premises (@p221 @p74 @p491 @p537) :args ((tptp.aux4 @t84 @t39 @t94 tptp.bfalse))) % 159.54/159.82 (step @p539 :rule instantiate :premises (@p428) :args ((@list @t84 @t39 @t94))) % 159.54/159.82 (step @p540 :rule instantiate :premises (@p27) :args (@t132)) % 159.54/159.82 (step @p541 :rule symm :premises (@p540)) % 159.54/159.82 (step @p542 :rule cong :premises (@p221 @p74 @p220 @p537) :args ((tptp.aux4 @t84 @t39 @t109 tptp.bfalse))) % 159.54/159.82 (step @p543 :rule instantiate :premises (@p428) :args ((@list @t84 @t39 @t109))) % 159.54/159.82 (step @p544 :rule instantiate :premises (@p27) :args ((@list @t84 @t39 @t108))) % 159.54/159.82 (step @p545 :rule symm :premises (@p544)) % 159.54/159.82 (step @p546 :rule cong :premises (@p221 @p74 @p138 @p537) :args ((tptp.aux4 @t84 @t39 @t92 tptp.bfalse))) % 159.54/159.82 (step @p547 :rule instantiate :premises (@p428) :args ((@list @t84 @t39 @t92))) % 159.54/159.82 (step @p548 :rule instantiate :premises (@p27) :args (@t179)) % 159.54/159.82 (step @p549 :rule symm :premises (@p548)) % 159.54/159.82 (step @p550 :rule cong :premises (@p221 @p74 @p73 @p537) :args ((tptp.aux4 @t84 @t39 @t91 tptp.bfalse))) % 159.54/159.82 (step @p551 :rule instantiate :premises (@p428) :args (@t179)) % 159.54/159.82 (step @p552 :rule cong :premises (@p221 @p88) :args ((tptp.count @t84 @t104))) % 159.54/159.82 (step @p553 :rule instantiate :premises (@p27) :args ((@list @t84 @t39 @t103))) % 159.54/159.82 (step @p554 :rule symm :premises (@p553)) % 159.54/159.82 (step @p555 :rule cong :premises (@p221 @p74 @p86 @p537) :args ((tptp.aux4 @t84 @t39 @t83 tptp.bfalse))) % 159.54/159.82 (step @p556 :rule instantiate :premises (@p428) :args ((@list @t84 @t39 @t83))) % 159.54/159.82 (step @p557 :rule instantiate :premises (@p27) :args (@t180)) % 159.54/159.82 (step @p558 :rule symm :premises (@p557)) % 159.54/159.82 (step @p559 :rule cong :premises (@p221 @p74 @p75 @p537) :args ((tptp.aux4 @t84 @t39 tptp.nil tptp.bfalse))) % 159.54/159.82 (step @p560 :rule instantiate :premises (@p428) :args (@t180)) % 159.54/159.82 (step @p561 :rule instantiate :premises (@p479) :args (@t127)) % 159.54/159.82 (step @p562 :rule trans :premises (@p561 @p560 @p559 @p558 @p556 @p555 @p554 @p552 @p551 @p550 @p549 @p547 @p546 @p545 @p543 @p542 @p541 @p539 @p538 @p536 @p534)) % 159.54/159.82 (step @p563 :rule cong :premises (@p562 @p532) :args ((tptp.eq @t39 @t123))) % 159.54/159.82 (step @p564 :rule instantiate :premises (@p418) :args (@t161)) % 159.54/159.82 (step @p565 :rule symm :premises (@p537)) % 159.54/159.82 (step @p566 :rule symm :premises (@p521)) % 159.54/159.82 (step @p567 :rule symm :premises (@p517)) % 159.54/159.82 (step @p568 :rule symm :premises (@p315)) % 159.54/159.82 (step @p569 :rule cong :premises (@p74 @p568) :args (@t181)) % 159.54/159.82 (step @p570 :rule trans :premises (@p569 @p515 @p567 @p518 @p566)) % 159.54/159.82 (step @p571 :rule symm :premises (@p561)) % 159.54/159.82 (step @p572 :rule symm :premises (@p560)) % 159.54/159.82 (step @p573 :rule symm :premises (@p559)) % 159.54/159.82 (step @p574 :rule trans :premises (@p557 @p573 @p572 @p571)) % 159.54/159.82 (step @p575 :rule cong :premises (@p574 @p570) :args (@t182)) % 159.54/159.82 (step @p576 :rule trans :premises (@p575 @p565 @p564 @p563)) % 159.54/159.82 (step @p577 :rule trans :premises (@p347 @p346 @p345 @p344 @p121)) % 159.54/159.82 (step @p578 :rule cong :premises (@p349 @p577) :args (@t155)) % 159.54/159.82 (step @p579 :rule trans :premises (@p531 @p490 @p488 @p358 @p356 @p578)) % 159.54/159.82 (step @p580 :rule cong :premises (@p579 @p380) :args ((tptp.leqNat @t123 @t88))) % 159.54/159.82 (step @p581 :rule instantiate :premises (@p12) :args ((@list @t88 @t87))) % 159.54/159.82 (step @p582 :rule symm :premises (@p581)) % 159.54/159.82 (step @p583 :rule instantiate :premises (@p12) :args ((@list @t87 @t86))) % 159.54/159.82 (step @p584 :rule symm :premises (@p583)) % 159.54/159.82 (step @p585 :rule instantiate :premises (@p12) :args ((@list @t86 @t85))) % 159.54/159.82 (step @p586 :rule symm :premises (@p585)) % 159.54/159.82 (step @p587 :rule eq-symm :args (@t183 @t184)) % 159.54/159.82 (step @p588 :rule refl :args (@t34)) % 159.54/159.82 (step @p589 :rule cong :premises (@p588 @p587) :args ((=> @t34 @t185))) % 159.54/159.82 (assume-push @p645 @t34) % 159.54/159.82 (step @p591 :rule instantiate :premises (@p12) :args ((@list @t85 @t84))) % 159.54/159.82 (step-pop @p646 :rule scope :premises (@p591)) % 159.54/159.82 (step @p592 :rule process_scope :premises (@p646) :args (@t185)) % 159.54/159.82 (step @p594 :rule eq_resolve :premises (@p592 @p589)) % 159.54/159.82 (step @p595 :rule implies_elim :premises (@p594)) % 159.54/159.82 (step @p596 :rule chain_m_resolution :premises (@p595 @p12) :args ((= @t184 @t183) @t121 @t186)) % 159.54/159.82 (step @p597 :rule eq-symm :args (@t184 @t187)) % 159.54/159.82 (step @p598 :rule cong :premises (@p588 @p597) :args ((=> @t34 @t188))) % 159.54/159.82 (assume-push @p647 @t34) % 159.54/159.82 (step @p600 :rule instantiate :premises (@p12) :args ((@list @t84 @t39))) % 159.54/159.82 (step-pop @p648 :rule scope :premises (@p600)) % 159.54/159.82 (step @p601 :rule process_scope :premises (@p648) :args (@t188)) % 159.54/159.82 (step @p603 :rule eq_resolve :premises (@p601 @p598)) % 159.54/159.82 (step @p604 :rule implies_elim :premises (@p603)) % 159.54/159.82 (step @p605 :rule chain_m_resolution :premises (@p604 @p12) :args ((= @t187 @t184) @t121 @t186)) % 159.54/159.82 (step @p606 :rule instantiate :premises (@p399) :args (@t100)) % 159.54/159.82 (step @p607 :rule trans :premises (@p606 @p605 @p596 @p586 @p584 @p582 @p580)) % 159.54/159.82 (step @p608 :rule cong :premises (@p607 @p41) :args (@t189)) % 159.54/159.82 (step @p609 :rule eq-symm :args (@t78 tptp.btrue)) % 159.54/159.82 (step @p610 :rule cong :premises (@p609) :args (@t79)) % 159.54/159.82 (step @p611 :rule eq_resolve :premises (@p35 @p610)) % 159.54/159.82 (step @p612 :rule instantiate :premises (@p611) :args ((@list tptp.bfalse))) % 159.54/159.82 (step @p613 :rule trans :premises (@p612 @p608)) % 159.54/159.82 (step @p614 :rule cong :premises (@p613 @p576) :args ((tptp.impl tptp.btrue @t182))) % 159.54/159.82 (step @p615 :rule eq-symm :args (@t42 @t41)) % 159.54/159.82 (step @p616 :rule cong :premises (@p615) :args (@t44)) % 159.54/159.82 (step @p617 :rule eq_resolve :premises (@p18 @p616)) % 159.54/159.82 (step @p618 :rule instantiate :premises (@p617) :args ((@list @t182))) % 159.54/159.82 (step @p619 :rule symm :premises (@p575)) % 159.54/159.82 (step @p620 :rule trans :premises (@p537 @p619 @p618 @p614 @p58)) % 159.54/159.82 (step @p621 :rule cong :premises (@p620 @p41) :args (@t189)) % 159.54/159.82 (step @p622 :rule trans :premises (@p612 @p621)) % 159.54/159.82 (assume-push @p649 @t190) % 159.54/159.82 (step @p624 :rule instantiate :premises (@p40) :args (@t96)) % 159.54/159.82 (step-pop @p650 :rule scope :premises (@p624)) % 159.54/159.82 (step @p625 :rule process_scope :premises (@p650) :args ((not @t191))) % 159.54/159.82 (step @p627 :rule implies_elim :premises (@p625)) % 159.54/159.82 (step @p628 false :rule chain_m_resolution :premises (@p627 @p622 @p40) :args (false (@list false false) (@list @t191 @t190))) % 159.54/159.82 ) % 159.54/159.82 % SZS output end Proof % 159.54/159.82 % cvc5 exiting %------------------------------------------------------------------------------