%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX189+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 : n010.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 09:07:18 AM UTC 2026 % Result : Theorem 105.70s 105.99s % Output : Proof 105.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX189+1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n010.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:04:10 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 105.70/105.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 105.70/105.99 --- Run --no-e-matching --full-saturate-quant at 6... % 105.70/105.99 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 105.70/105.99 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 105.70/105.99 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 105.70/105.99 --- Run --trigger-sel=max --full-saturate-quant at 15... % 105.70/105.99 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 105.70/105.99 % SZS status Theorem % 105.70/105.99 % SZS output start Proof % 105.70/105.99 ( % 105.70/105.99 (declare-sort $$unsorted 0) % 105.70/105.99 (declare-const tptp.fail3 (-> $$unsorted $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.fail12 (-> $$unsorted $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.mulNat (-> $$unsorted $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.fail (-> $$unsorted $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.d (-> $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.fail2 (-> $$unsorted $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.y (-> $$unsorted $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.fail22 (-> $$unsorted $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.proj1S (-> $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.fail32 (-> $$unsorted $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.x (-> $$unsorted $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.proj12 (-> $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.addNat (-> $$unsorted $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.x2 $$unsorted) % 105.70/105.99 (declare-const tptp.proj1N (-> $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.fail1 (-> $$unsorted $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.proj1 (-> $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.proj2 (-> $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.z $$unsorted) % 105.70/105.99 (declare-const tptp.proj22 (-> $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.fail4 (-> $$unsorted $$unsorted $$unsorted)) % 105.70/105.99 (declare-const tptp.opt (-> $$unsorted $$unsorted)) % 105.70/105.99 (define @t1 () (@var "X" $$unsorted)) % 105.70/105.99 (define @t2 () (tptp.s @t1)) % 105.70/105.99 (define @t3 () (@list @t1)) % 105.70/105.99 (define @t4 () (tptp.n @t1)) % 105.70/105.99 (define @t5 () (@var "X2" $$unsorted)) % 105.70/105.99 (define @t6 () (tptp.x @t1 @t5)) % 105.70/105.99 (define @t7 () (@list @t1 @t5)) % 105.70/105.99 (define @t8 () (tptp.y @t1 @t5)) % 105.70/105.99 (define @t9 () (tptp.proj12 @t8)) % 105.70/105.99 (define @t10 () (forall @t7 (= @t9 @t1))) % 105.70/105.99 (define @t11 () (@var "X3" $$unsorted)) % 105.70/105.99 (define @t12 () (@list @t1 @t5 @t11)) % 105.70/105.99 (define @t13 () (forall @t12 (not (= @t4 (tptp.x @t5 @t11))))) % 105.70/105.99 (define @t14 () (forall @t12 (not (= @t4 (tptp.y @t5 @t11))))) % 105.70/105.99 (define @t15 () (forall @t3 (not (= @t4 tptp.x2)))) % 105.70/105.99 (define @t16 () (@var "X4" $$unsorted)) % 105.70/105.99 (define @t17 () (forall (@list @t1 @t5 @t11 @t16) (not (= @t6 (tptp.y @t11 @t16))))) % 105.70/105.99 (define @t18 () (forall @t7 (not (= @t6 tptp.x2)))) % 105.70/105.99 (define @t19 () (forall @t7 (not (= @t8 tptp.x2)))) % 105.70/105.99 (define @t20 () (@var "Y" $$unsorted)) % 105.70/105.99 (define @t21 () (tptp.opt @t20)) % 105.70/105.99 (define @t22 () (tptp.s tptp.z)) % 105.70/105.99 (define @t23 () (@var "E" $$unsorted)) % 105.70/105.99 (define @t24 () (tptp.fail2 @t20 @t23)) % 105.70/105.99 (define @t25 () (= @t20 @t23)) % 105.70/105.99 (define @t26 () (@list @t20 @t23)) % 105.70/105.99 (define @t27 () (= @t24 (tptp.x @t21 (tptp.opt @t23)))) % 105.70/105.99 (define @t28 () (= @t20 (tptp.x (tptp.proj1 @t20) (tptp.proj2 @t20)))) % 105.70/105.99 (define @t29 () (not @t28)) % 105.70/105.99 (define @t30 () (=> @t29 @t27)) % 105.70/105.99 (define @t31 () (not @t25)) % 105.70/105.99 (define @t32 () (forall @t26 (=> @t31 @t30))) % 105.70/105.99 (define @t33 () (@var "B" $$unsorted)) % 105.70/105.99 (define @t34 () (@var "A" $$unsorted)) % 105.70/105.99 (define @t35 () (tptp.x @t34 @t33)) % 105.70/105.99 (define @t36 () (tptp.fail1 @t20 @t23)) % 105.70/105.99 (define @t37 () (= @t20 (tptp.n (tptp.proj1N @t20)))) % 105.70/105.99 (define @t38 () (not @t37)) % 105.70/105.99 (define @t39 () (=> @t38 (= @t36 @t24))) % 105.70/105.99 (define @t40 () (forall @t26 @t39)) % 105.70/105.99 (define @t41 () (@var "C" $$unsorted)) % 105.70/105.99 (define @t42 () (tptp.n @t41)) % 105.70/105.99 (define @t43 () (= @t23 (tptp.n (tptp.proj1N @t23)))) % 105.70/105.99 (define @t44 () (not @t43)) % 105.70/105.99 (define @t45 () (@var "B2" $$unsorted)) % 105.70/105.99 (define @t46 () (tptp.fail @t20 @t23)) % 105.70/105.99 (define @t47 () (=> @t44 (= @t46 @t36))) % 105.70/105.99 (define @t48 () (forall @t26 @t47)) % 105.70/105.99 (define @t49 () (tptp.n (tptp.s @t5))) % 105.70/105.99 (define @t50 () (tptp.n tptp.z)) % 105.70/105.99 (define @t51 () (@list @t20)) % 105.70/105.99 (define @t52 () (@var "E2" $$unsorted)) % 105.70/105.99 (define @t53 () (@var "X5" $$unsorted)) % 105.70/105.99 (define @t54 () (tptp.fail4 @t53 @t52)) % 105.70/105.99 (define @t55 () (@list @t53 @t52)) % 105.70/105.99 (define @t56 () (tptp.fail32 @t53 @t52)) % 105.70/105.99 (define @t57 () (= @t53 (tptp.y (tptp.proj12 @t53) (tptp.proj22 @t53)))) % 105.70/105.99 (define @t58 () (not @t57)) % 105.70/105.99 (define @t59 () (=> @t58 (= @t56 @t54))) % 105.70/105.99 (define @t60 () (= @t53 (tptp.n (tptp.proj1N @t53)))) % 105.70/105.99 (define @t61 () (not @t60)) % 105.70/105.99 (define @t62 () (=> @t61 @t59)) % 105.70/105.99 (define @t63 () (forall @t55 @t62)) % 105.70/105.99 (define @t64 () (@var "A2" $$unsorted)) % 105.70/105.99 (define @t65 () (tptp.n @t64)) % 105.70/105.99 (define @t66 () (= @t52 (tptp.n (tptp.proj1N @t52)))) % 105.70/105.99 (define @t67 () (not @t66)) % 105.70/105.99 (define @t68 () (@var "B3" $$unsorted)) % 105.70/105.99 (define @t69 () (@var "B4" $$unsorted)) % 105.70/105.99 (define @t70 () (@var "A3" $$unsorted)) % 105.70/105.99 (define @t71 () (tptp.fail22 @t53 @t52)) % 105.70/105.99 (define @t72 () (=> @t67 (= @t71 @t56))) % 105.70/105.99 (define @t73 () (forall @t55 @t72)) % 105.70/105.99 (define @t74 () (@var "X8" $$unsorted)) % 105.70/105.99 (define @t75 () (tptp.n (tptp.s (tptp.s @t74)))) % 105.70/105.99 (define @t76 () (tptp.n @t22)) % 105.70/105.99 (define @t77 () (tptp.fail22 @t53 @t76)) % 105.70/105.99 (define @t78 () (@list @t53)) % 105.70/105.99 (define @t79 () (forall @t78 (= @t77 @t53))) % 105.70/105.99 (define @t80 () (tptp.fail12 @t53 @t52)) % 105.70/105.99 (define @t81 () (=> @t61 (= @t80 @t71))) % 105.70/105.99 (define @t82 () (forall @t55 @t81)) % 105.70/105.99 (define @t83 () (@var "X11" $$unsorted)) % 105.70/105.99 (define @t84 () (tptp.n (tptp.s (tptp.s @t83)))) % 105.70/105.99 (define @t85 () (tptp.fail12 @t76 @t52)) % 105.70/105.99 (define @t86 () (@list @t52)) % 105.70/105.99 (define @t87 () (forall @t86 (= @t85 @t52))) % 105.70/105.99 (define @t88 () (tptp.fail3 @t53 @t52)) % 105.70/105.99 (define @t89 () (=> @t67 (= @t88 @t80))) % 105.70/105.99 (define @t90 () (forall @t55 @t89)) % 105.70/105.99 (define @t91 () (@var "X13" $$unsorted)) % 105.70/105.99 (define @t92 () (tptp.n (tptp.s @t91))) % 105.70/105.99 (define @t93 () (@var "G" $$unsorted)) % 105.70/105.99 (define @t94 () (@var "F" $$unsorted)) % 105.70/105.99 (define @t95 () (@var "G2" $$unsorted)) % 105.70/105.99 (define @t96 () (@var "H" $$unsorted)) % 105.70/105.99 (define @t97 () (tptp.d tptp.x2)) % 105.70/105.99 (define @t98 () (@var "Z" $$unsorted)) % 105.70/105.99 (define @t99 () (tptp.s @t98)) % 105.70/105.99 (define @t100 () (@list @t20 @t98)) % 105.70/105.99 (define @t101 () (tptp.opt @t1)) % 105.70/105.99 (define @t102 () (= @t1 (tptp.y (tptp.proj12 @t1) (tptp.proj22 @t1)))) % 105.70/105.99 (define @t103 () (not @t102)) % 105.70/105.99 (define @t104 () (=> @t103 (= @t101 @t1))) % 105.70/105.99 (define @t105 () (= @t1 (tptp.x (tptp.proj1 @t1) (tptp.proj2 @t1)))) % 105.70/105.99 (define @t106 () (not @t105)) % 105.70/105.99 (define @t107 () (=> @t106 @t104)) % 105.70/105.99 (define @t108 () (forall @t3 @t107)) % 105.70/105.99 (define @t109 () (tptp.opt (tptp.x @t20 @t23))) % 105.70/105.99 (define @t110 () (=> @t38 (= @t109 @t46))) % 105.70/105.99 (define @t111 () (forall @t26 @t110)) % 105.70/105.99 (define @t112 () (tptp.n (tptp.s @t16))) % 105.70/105.99 (define @t113 () (@list @t23)) % 105.70/105.99 (define @t114 () (tptp.opt (tptp.y @t53 @t52))) % 105.70/105.99 (define @t115 () (=> @t61 (= @t114 @t88))) % 105.70/105.99 (define @t116 () (forall @t55 @t115)) % 105.70/105.99 (define @t117 () (@var "X15" $$unsorted)) % 105.70/105.99 (define @t118 () (tptp.n (tptp.s @t117))) % 105.70/105.99 (define @t119 () (tptp.x tptp.x2 tptp.x2)) % 105.70/105.99 (define @t120 () (tptp.y tptp.x2 @t119)) % 105.70/105.99 (define @t121 () (tptp.y tptp.x2 tptp.x2)) % 105.70/105.99 (define @t122 () (tptp.x @t121 @t120)) % 105.70/105.99 (define @t123 () (= (tptp.opt (tptp.d @t23)) @t122)) % 105.70/105.99 (define @t124 () (exists @t113 @t123)) % 105.70/105.99 (define @t125 () (not @t124)) % 105.70/105.99 (define @t126 () (not (= @t76 tptp.x2))) % 105.70/105.99 (define @t127 () (= tptp.x2 @t76)) % 105.70/105.99 (define @t128 () (@list false)) % 105.70/105.99 (define @t129 () (@list @t15)) % 105.70/105.99 (define @t130 () (tptp.opt @t121)) % 105.70/105.99 (define @t131 () (tptp.d @t130)) % 105.70/105.99 (define @t132 () (@list tptp.x2 @t131)) % 105.70/105.99 (define @t133 () (or @t25 @t28 @t27)) % 105.70/105.99 (define @t134 () (tptp.y tptp.x2 @t131)) % 105.70/105.99 (define @t135 () (tptp.y @t97 @t130)) % 105.70/105.99 (define @t136 () (@list @t135 @t134)) % 105.70/105.99 (define @t137 () (= @t54 @t56)) % 105.70/105.99 (define @t138 () (or @t60 @t57 @t137)) % 105.70/105.99 (define @t139 () (=> @t58 @t137)) % 105.70/105.99 (define @t140 () (not @t61)) % 105.70/105.99 (define @t141 () (tptp.fail4 tptp.x2 @t131)) % 105.70/105.99 (define @t142 () (tptp.fail32 tptp.x2 @t131)) % 105.70/105.99 (define @t143 () (tptp.proj22 tptp.x2)) % 105.70/105.99 (define @t144 () (tptp.proj12 tptp.x2)) % 105.70/105.99 (define @t145 () (tptp.y @t144 @t143)) % 105.70/105.99 (define @t146 () (= tptp.x2 @t145)) % 105.70/105.99 (define @t147 () (tptp.proj1N tptp.x2)) % 105.70/105.99 (define @t148 () (tptp.n @t147)) % 105.70/105.99 (define @t149 () (= tptp.x2 @t148)) % 105.70/105.99 (define @t150 () (or @t149 @t146 (= @t141 @t142))) % 105.70/105.99 (define @t151 () (forall @t55 @t138)) % 105.70/105.99 (define @t152 () (= @t142 @t141)) % 105.70/105.99 (define @t153 () (or @t149 @t146 @t152)) % 105.70/105.99 (define @t154 () (@list @t151)) % 105.70/105.99 (define @t155 () (not (= @t145 tptp.x2))) % 105.70/105.99 (define @t156 () (not (= @t148 tptp.x2))) % 105.70/105.99 (define @t157 () (@list true true false)) % 105.70/105.99 (define @t158 () (= @t56 @t71)) % 105.70/105.99 (define @t159 () (not @t67)) % 105.70/105.99 (define @t160 () (tptp.fail22 tptp.x2 @t131)) % 105.70/105.99 (define @t161 () (tptp.proj1N @t131)) % 105.70/105.99 (define @t162 () (tptp.n @t161)) % 105.70/105.99 (define @t163 () (= @t131 @t162)) % 105.70/105.99 (define @t164 () (or @t163 (= @t142 @t160))) % 105.70/105.99 (define @t165 () (forall @t55 (or @t66 @t158))) % 105.70/105.99 (define @t166 () (= @t160 @t142)) % 105.70/105.99 (define @t167 () (or @t163 @t166)) % 105.70/105.99 (define @t168 () (@list @t165)) % 105.70/105.99 (define @t169 () (tptp.y tptp.x2 @t97)) % 105.70/105.99 (define @t170 () (tptp.y @t97 tptp.x2)) % 105.70/105.99 (define @t171 () (tptp.x @t170 @t169)) % 105.70/105.99 (define @t172 () (not (= @t162 @t171))) % 105.70/105.99 (define @t173 () (@list tptp.x2 tptp.x2)) % 105.70/105.99 (define @t174 () (= @t1 @t101)) % 105.70/105.99 (define @t175 () (=> @t103 @t174)) % 105.70/105.99 (define @t176 () (@list tptp.x2)) % 105.70/105.99 (define @t177 () (tptp.proj2 tptp.x2)) % 105.70/105.99 (define @t178 () (tptp.proj1 tptp.x2)) % 105.70/105.99 (define @t179 () (tptp.x @t178 @t177)) % 105.70/105.99 (define @t180 () (not (= @t179 tptp.x2))) % 105.70/105.99 (define @t181 () (= tptp.x2 @t179)) % 105.70/105.99 (define @t182 () (tptp.opt tptp.x2)) % 105.70/105.99 (define @t183 () (= tptp.x2 @t182)) % 105.70/105.99 (define @t184 () (or @t181 @t146 @t183)) % 105.70/105.99 (define @t185 () (tptp.y @t182 @t182)) % 105.70/105.99 (define @t186 () (tptp.fail4 tptp.x2 tptp.x2)) % 105.70/105.99 (define @t187 () (tptp.fail32 tptp.x2 tptp.x2)) % 105.70/105.99 (define @t188 () (or @t149 @t146 (= @t186 @t187))) % 105.70/105.99 (define @t189 () (= @t187 @t186)) % 105.70/105.99 (define @t190 () (or @t149 @t146 @t189)) % 105.70/105.99 (define @t191 () (tptp.fail22 tptp.x2 tptp.x2)) % 105.70/105.99 (define @t192 () (or @t149 (= @t187 @t191))) % 105.70/105.99 (define @t193 () (= @t191 @t187)) % 105.70/105.99 (define @t194 () (or @t149 @t193)) % 105.70/105.99 (define @t195 () (@list true false)) % 105.70/105.99 (define @t196 () (= @t71 @t80)) % 105.70/105.99 (define @t197 () (tptp.fail12 tptp.x2 tptp.x2)) % 105.70/105.99 (define @t198 () (or @t149 (= @t191 @t197))) % 105.70/105.99 (define @t199 () (forall @t55 (or @t60 @t196))) % 105.70/105.99 (define @t200 () (= @t197 @t191)) % 105.70/105.99 (define @t201 () (or @t149 @t200)) % 105.70/105.99 (define @t202 () (@list @t199)) % 105.70/105.99 (define @t203 () (= @t80 @t88)) % 105.70/105.99 (define @t204 () (tptp.fail3 tptp.x2 tptp.x2)) % 105.70/105.99 (define @t205 () (or @t149 (= @t197 @t204))) % 105.70/105.99 (define @t206 () (forall @t55 (or @t66 @t203))) % 105.70/105.99 (define @t207 () (= @t204 @t197)) % 105.70/105.99 (define @t208 () (or @t149 @t207)) % 105.70/105.99 (define @t209 () (@list @t206)) % 105.70/105.99 (define @t210 () (= @t88 @t114)) % 105.70/105.99 (define @t211 () (= @t204 @t130)) % 105.70/105.99 (define @t212 () (or @t149 @t211)) % 105.70/105.99 (define @t213 () (@list @t130)) % 105.70/105.99 (define @t214 () (= @t24 @t36)) % 105.70/105.99 (define @t215 () (not @t38)) % 105.70/105.99 (define @t216 () (tptp.fail2 @t135 @t134)) % 105.70/105.99 (define @t217 () (tptp.fail1 @t135 @t134)) % 105.70/105.99 (define @t218 () (tptp.proj1N @t135)) % 105.70/105.99 (define @t219 () (tptp.n @t218)) % 105.70/105.99 (define @t220 () (= @t135 @t219)) % 105.70/105.99 (define @t221 () (or @t220 (= @t216 @t217))) % 105.70/105.99 (define @t222 () (forall @t26 (or @t37 @t214))) % 105.70/105.99 (define @t223 () (= @t217 @t216)) % 105.70/105.99 (define @t224 () (or @t220 @t223)) % 105.70/105.99 (define @t225 () (@list @t222)) % 105.70/105.99 (define @t226 () (not (= @t219 @t135))) % 105.70/105.99 (define @t227 () (@list @t14)) % 105.70/105.99 (define @t228 () (tptp.fail22 @t130 @t76)) % 105.70/105.99 (define @t229 () (tptp.fail12 @t130 @t76)) % 105.70/105.99 (define @t230 () (tptp.proj1N @t130)) % 105.70/105.99 (define @t231 () (tptp.n @t230)) % 105.70/105.99 (define @t232 () (= @t130 @t231)) % 105.70/105.99 (define @t233 () (or @t232 (= @t228 @t229))) % 105.70/105.99 (define @t234 () (= @t229 @t228)) % 105.70/105.99 (define @t235 () (or @t232 @t234)) % 105.70/105.99 (define @t236 () (tptp.proj1N @t121)) % 105.70/105.99 (define @t237 () (tptp.n @t236)) % 105.70/105.99 (define @t238 () (not (= @t237 @t121))) % 105.70/105.99 (define @t239 () (tptp.fail12 tptp.x2 @t131)) % 105.70/105.99 (define @t240 () (or @t149 (= @t160 @t239))) % 105.70/105.99 (define @t241 () (= @t239 @t160)) % 105.70/105.99 (define @t242 () (or @t149 @t241)) % 105.70/105.99 (define @t243 () (@list @t130 tptp.z)) % 105.70/105.99 (define @t244 () (tptp.fail12 @t76 @t130)) % 105.70/105.99 (define @t245 () (tptp.fail3 @t76 @t130)) % 105.70/105.99 (define @t246 () (or @t232 (= @t244 @t245))) % 105.70/105.99 (define @t247 () (= @t245 @t244)) % 105.70/105.99 (define @t248 () (or @t232 @t247)) % 105.70/105.99 (define @t249 () (tptp.fail3 tptp.x2 @t131)) % 105.70/105.99 (define @t250 () (or @t163 (= @t239 @t249))) % 105.70/105.99 (define @t251 () (= @t249 @t239)) % 105.70/105.99 (define @t252 () (or @t163 @t251)) % 105.70/105.99 (define @t253 () (= @t36 @t46)) % 105.70/105.99 (define @t254 () (tptp.fail @t135 @t134)) % 105.70/105.99 (define @t255 () (tptp.proj1N @t134)) % 105.70/105.99 (define @t256 () (tptp.n @t255)) % 105.70/105.99 (define @t257 () (= @t134 @t256)) % 105.70/105.99 (define @t258 () (or @t257 (= @t217 @t254))) % 105.70/105.99 (define @t259 () (forall @t26 (or @t43 @t253))) % 105.70/105.99 (define @t260 () (= @t254 @t217)) % 105.70/105.99 (define @t261 () (or @t257 @t260)) % 105.70/105.99 (define @t262 () (@list @t259)) % 105.70/105.99 (define @t263 () (not (= @t256 @t134))) % 105.70/105.99 (define @t264 () (tptp.y @t76 tptp.x2)) % 105.70/105.99 (define @t265 () (tptp.opt @t264)) % 105.70/105.99 (define @t266 () (tptp.fail2 @t264 @t169)) % 105.70/105.99 (define @t267 () (= @t266 (tptp.x @t265 (tptp.opt @t169)))) % 105.70/105.99 (define @t268 () (tptp.proj2 @t264)) % 105.70/105.99 (define @t269 () (tptp.proj1 @t264)) % 105.70/105.99 (define @t270 () (tptp.x @t269 @t268)) % 105.70/105.99 (define @t271 () (= @t264 @t270)) % 105.70/105.99 (define @t272 () (or (= @t264 @t169) @t271 @t267)) % 105.70/105.99 (define @t273 () (forall @t26 @t133)) % 105.70/105.99 (define @t274 () (= @t169 @t264)) % 105.70/105.99 (define @t275 () (or @t274 @t271 @t267)) % 105.70/105.99 (define @t276 () (tptp.proj22 @t97)) % 105.70/105.99 (define @t277 () (tptp.proj12 @t97)) % 105.70/105.99 (define @t278 () (tptp.y @t277 @t276)) % 105.70/105.99 (define @t279 () (= @t97 @t278)) % 105.70/105.99 (define @t280 () (tptp.proj2 @t97)) % 105.70/105.99 (define @t281 () (tptp.proj1 @t97)) % 105.70/105.99 (define @t282 () (tptp.x @t281 @t280)) % 105.70/105.99 (define @t283 () (= @t97 @t282)) % 105.70/105.99 (define @t284 () (tptp.opt @t97)) % 105.70/105.99 (define @t285 () (= @t97 @t284)) % 105.70/105.99 (define @t286 () (or @t283 @t279 @t285)) % 105.70/105.99 (define @t287 () (@list tptp.x2 @t284)) % 105.70/105.99 (define @t288 () (tptp.opt @t76)) % 105.70/105.99 (define @t289 () (= @t76 @t97)) % 105.70/105.99 (define @t290 () (tptp.fail3 @t76 @t284)) % 105.70/105.99 (define @t291 () (tptp.opt (tptp.y @t76 @t284))) % 105.70/105.99 (define @t292 () (= @t291 @t290)) % 105.70/105.99 (define @t293 () (tptp.y tptp.x2 @t284)) % 105.70/105.99 (define @t294 () (tptp.proj12 @t293)) % 105.70/105.99 (define @t295 () (= tptp.x2 @t294)) % 105.70/105.99 (define @t296 () (tptp.fail12 @t76 @t76)) % 105.70/105.99 (define @t297 () (= (tptp.fail3 @t76 @t76) @t296)) % 105.70/105.99 (define @t298 () (= @t76 @t296)) % 105.70/105.99 (define @t299 () (= @t288 (tptp.proj12 (tptp.y @t288 @t182)))) % 105.70/105.99 (define @t300 () (= @t293 @t264)) % 105.70/105.99 (define @t301 () (tptp.y @t284 tptp.x2)) % 105.70/105.99 (define @t302 () (and @t289 @t285 @t292 @t295 @t297 @t298 @t299 @t183 @t300)) % 105.70/105.99 (define @t303 () (not @t300)) % 105.70/105.99 (define @t304 () (not @t183)) % 105.70/105.99 (define @t305 () (not @t285)) % 105.70/105.99 (define @t306 () (not @t289)) % 105.70/105.99 (define @t307 () (not @t274)) % 105.70/105.99 (define @t308 () (and @t285 @t303)) % 105.70/105.99 (define @t309 () (not (= @t270 @t301))) % 105.70/105.99 (define @t310 () (@list @t17)) % 105.70/105.99 (define @t311 () (tptp.opt (tptp.y @t130 @t97))) % 105.70/105.99 (define @t312 () (tptp.fail3 @t130 @t97)) % 105.70/105.99 (define @t313 () (= @t312 @t311)) % 105.70/105.99 (define @t314 () (or @t232 @t313)) % 105.70/105.99 (define @t315 () (tptp.opt @t134)) % 105.70/105.99 (define @t316 () (= @t249 @t315)) % 105.70/105.99 (define @t317 () (or @t149 @t316)) % 105.70/105.99 (define @t318 () (= @t46 @t109)) % 105.70/105.99 (define @t319 () (tptp.x @t135 @t134)) % 105.70/105.99 (define @t320 () (tptp.opt @t319)) % 105.70/105.99 (define @t321 () (= @t254 @t320)) % 105.70/105.99 (define @t322 () (or @t220 @t321)) % 105.70/105.99 (define @t323 () (tptp.fail2 @t170 @t169)) % 105.70/105.99 (define @t324 () (tptp.fail1 @t170 @t169)) % 105.70/105.99 (define @t325 () (tptp.proj1N @t170)) % 105.70/105.99 (define @t326 () (tptp.n @t325)) % 105.70/105.99 (define @t327 () (= @t170 @t326)) % 105.70/105.99 (define @t328 () (or @t327 (= @t323 @t324))) % 105.70/105.99 (define @t329 () (@list @t170 @t169)) % 105.70/105.99 (define @t330 () (= @t324 @t323)) % 105.70/105.99 (define @t331 () (or @t327 @t330)) % 105.70/105.99 (define @t332 () (not (= @t326 @t301))) % 105.70/105.99 (define @t333 () (forall @t113 (not @t123))) % 105.70/105.99 (define @t334 () (tptp.y tptp.x2 @t130)) % 105.70/105.99 (define @t335 () (tptp.d @t334)) % 105.70/105.99 (define @t336 () (tptp.opt @t335)) % 105.70/105.99 (define @t337 () (not (= @t336 @t122))) % 105.70/105.99 (define @t338 () (= @t122 @t336)) % 105.70/105.99 (define @t339 () (tptp.fail22 tptp.x2 @t76)) % 105.70/105.99 (define @t340 () (tptp.fail12 tptp.x2 @t76)) % 105.70/105.99 (define @t341 () (or @t149 (= @t339 @t340))) % 105.70/105.99 (define @t342 () (= @t340 @t339)) % 105.70/105.99 (define @t343 () (or @t149 @t342)) % 105.70/105.99 (define @t344 () (tptp.fail @t170 @t169)) % 105.70/105.99 (define @t345 () (tptp.proj1N @t169)) % 105.70/105.99 (define @t346 () (tptp.n @t345)) % 105.70/105.99 (define @t347 () (= @t169 @t346)) % 105.70/105.99 (define @t348 () (or @t347 (= @t324 @t344))) % 105.70/105.99 (define @t349 () (= @t344 @t324)) % 105.70/105.99 (define @t350 () (or @t347 @t349)) % 105.70/105.99 (define @t351 () (not (= @t346 @t293))) % 105.70/105.99 (define @t352 () (tptp.opt @t171)) % 105.70/105.99 (define @t353 () (= @t344 @t352)) % 105.70/105.99 (define @t354 () (or @t327 @t353)) % 105.70/105.99 (define @t355 () (@list tptp.x2 tptp.z)) % 105.70/105.99 (define @t356 () (tptp.fail12 @t76 tptp.x2)) % 105.70/105.99 (define @t357 () (tptp.fail3 @t76 tptp.x2)) % 105.70/105.99 (define @t358 () (or @t149 (= @t356 @t357))) % 105.70/105.99 (define @t359 () (= @t357 @t356)) % 105.70/105.99 (define @t360 () (or @t149 @t359)) % 105.70/105.99 (define @t361 () (tptp.opt @t293)) % 105.70/105.99 (define @t362 () (= (tptp.fail3 tptp.x2 @t284) @t361)) % 105.70/105.99 (define @t363 () (or @t149 @t362)) % 105.70/105.99 (define @t364 () (tptp.d @t121)) % 105.70/105.99 (define @t365 () (= @t364 @t171)) % 105.70/105.99 (define @t366 () (= @t265 @t357)) % 105.70/105.99 (define @t367 () (tptp.fail3 tptp.x2 @t76)) % 105.70/105.99 (define @t368 () (= @t367 @t340)) % 105.70/105.99 (define @t369 () (= tptp.x2 @t356)) % 105.70/105.99 (define @t370 () (= @t335 @t319)) % 105.70/105.99 (define @t371 () (= @t186 @t185)) % 105.70/105.99 (define @t372 () (= tptp.x2 @t339)) % 105.70/105.99 (define @t373 () (tptp.y @t76 @t130)) % 105.70/105.99 (define @t374 () (tptp.opt @t373)) % 105.70/105.99 (define @t375 () (= @t374 @t245)) % 105.70/105.99 (define @t376 () (= (tptp.fail3 @t130 @t76) @t229)) % 105.70/105.99 (define @t377 () (= @t130 @t244)) % 105.70/105.99 (define @t378 () (= @t130 @t228)) % 105.70/105.99 (define @t379 () (= @t216 (tptp.x (tptp.opt @t135) @t315))) % 105.70/105.99 (define @t380 () (= @t141 (tptp.y @t182 (tptp.opt @t131)))) % 105.70/105.99 (define @t381 () (and @t289 @t285 @t211 @t207 @t200 @t365 @t362 @t366 @t193 @t359 @t368 @t183 @t353 @t369 @t349 @t189 @t342 @t370 @t371 @t372 @t330 @t321 @t316 @t313 @t375 @t267 @t260 @t251 @t247 @t376 @t377 @t241 @t234 @t223 @t378 @t379 @t166 @t152 @t380)) % 105.70/105.99 (define @t382 () (not @t379)) % 105.70/105.99 (define @t383 () (tptp.proj2 @t373)) % 105.70/105.99 (define @t384 () (tptp.proj1 @t373)) % 105.70/105.99 (define @t385 () (tptp.x @t384 @t383)) % 105.70/105.99 (define @t386 () (not (= @t385 @t135))) % 105.70/105.99 (define @t387 () (tptp.proj2 @t135)) % 105.70/105.99 (define @t388 () (tptp.proj1 @t135)) % 105.70/105.99 (define @t389 () (tptp.x @t388 @t387)) % 105.70/105.99 (define @t390 () (= @t135 @t389)) % 105.70/105.99 (define @t391 () (= @t135 @t134)) % 105.70/105.99 (define @t392 () (or @t391 @t390 @t379)) % 105.70/105.99 (define @t393 () (tptp.proj12 @t134)) % 105.70/105.99 (define @t394 () (= tptp.x2 @t393)) % 105.70/105.99 (define @t395 () (= @t97 (tptp.proj12 @t135))) % 105.70/105.99 (define @t396 () (and @t289 @t394 @t395 @t391)) % 105.70/105.99 (assume @p1 (forall @t3 (= (tptp.proj1S @t2) @t1))) % 105.70/105.99 (assume @p2 (forall @t3 (not (= @t2 tptp.z)))) % 105.70/105.99 (assume @p3 (forall @t3 (= (tptp.proj1N @t4) @t1))) % 105.70/105.99 (assume @p4 (forall @t7 (= (tptp.proj1 @t6) @t1))) % 105.70/105.99 (assume @p5 (forall @t7 (= (tptp.proj2 @t6) @t5))) % 105.70/105.99 (assume @p6 @t10) % 105.70/105.99 (assume @p7 (forall @t7 (= (tptp.proj22 @t8) @t5))) % 105.70/105.99 (assume @p8 @t13) % 105.70/105.99 (assume @p9 @t14) % 105.70/105.99 (assume @p10 @t15) % 105.70/105.99 (assume @p11 @t17) % 105.70/105.99 (assume @p12 @t18) % 105.70/105.99 (assume @p13 @t19) % 105.70/105.99 (assume @p14 (forall @t26 (=> @t25 (= @t24 (tptp.y (tptp.n (tptp.s @t22)) @t21))))) % 105.70/105.99 (assume @p15 @t32) % 105.70/105.99 (assume @p16 (forall (@list @t23 @t34 @t33) (=> (not (= @t35 @t23)) (= (tptp.fail2 @t35 @t23) (tptp.opt (tptp.x @t34 (tptp.x @t33 @t23))))))) % 105.70/105.99 (assume @p17 @t40) % 105.70/105.99 (assume @p18 (forall (@list @t23 @t41) (=> @t44 (= (tptp.fail1 @t42 @t23) (tptp.fail2 @t42 @t23))))) % 105.70/105.99 (assume @p19 (forall (@list @t41 @t45) (= (tptp.fail1 @t42 (tptp.n @t45)) (tptp.n (tptp.addNat @t41 @t45))))) % 105.70/105.99 (assume @p20 @t48) % 105.70/105.99 (assume @p21 (forall (@list @t20 @t5) (= (tptp.fail @t20 @t49) (tptp.fail1 @t20 @t49)))) % 105.70/105.99 (assume @p22 (forall @t51 (= (tptp.fail @t20 @t50) @t20))) % 105.70/105.99 (assume @p23 (forall @t55 (= @t54 (tptp.y (tptp.opt @t53) (tptp.opt @t52))))) % 105.70/105.99 (assume @p24 @t63) % 105.70/105.99 (assume @p25 (forall (@list @t52 @t64) (=> @t67 (= (tptp.fail32 @t65 @t52) (tptp.fail4 @t65 @t52))))) % 105.70/105.99 (assume @p26 (forall (@list @t64 @t68) (= (tptp.fail32 @t65 (tptp.n @t68)) (tptp.n (tptp.mulNat @t64 @t68))))) % 105.70/105.99 (assume @p27 (forall (@list @t52 @t70 @t69) (= (tptp.fail32 (tptp.y @t70 @t69) @t52) (tptp.opt (tptp.y @t70 (tptp.y @t69 @t52)))))) % 105.70/105.99 (assume @p28 @t73) % 105.70/105.99 (assume @p29 (forall (@list @t53 @t74) (= (tptp.fail22 @t53 @t75) (tptp.fail32 @t53 @t75)))) % 105.70/105.99 (assume @p30 @t79) % 105.70/105.99 (assume @p31 (forall @t78 (= (tptp.fail22 @t53 @t50) (tptp.fail32 @t53 @t50)))) % 105.70/105.99 (assume @p32 @t82) % 105.70/105.99 (assume @p33 (forall (@list @t52 @t83) (= (tptp.fail12 @t84 @t52) (tptp.fail22 @t84 @t52)))) % 105.70/105.99 (assume @p34 @t87) % 105.70/105.99 (assume @p35 (forall @t86 (= (tptp.fail12 @t50 @t52) (tptp.fail22 @t50 @t52)))) % 105.70/105.99 (assume @p36 @t90) % 105.70/105.99 (assume @p37 (forall (@list @t53 @t91) (= (tptp.fail3 @t53 @t92) (tptp.fail12 @t53 @t92)))) % 105.70/105.99 (assume @p38 (forall @t78 (= (tptp.fail3 @t53 @t50) @t50))) % 105.70/105.99 (assume @p39 (forall @t51 (= (tptp.d (tptp.n @t20)) @t50))) % 105.70/105.99 (assume @p40 (forall (@list @t94 @t93) (= (tptp.d (tptp.x @t94 @t93)) (tptp.x (tptp.d @t94) (tptp.d @t93))))) % 105.70/105.99 (assume @p41 (forall (@list @t96 @t95) (= (tptp.d (tptp.y @t96 @t95)) (tptp.x (tptp.y (tptp.d @t96) @t95) (tptp.y @t96 (tptp.d @t95)))))) % 105.70/105.99 (assume @p42 (= @t97 @t76)) % 105.70/105.99 (assume @p43 (forall @t100 (= (tptp.addNat @t99 @t20) (tptp.s (tptp.addNat @t98 @t20))))) % 105.70/105.99 (assume @p44 (forall @t51 (= (tptp.addNat tptp.z @t20) @t20))) % 105.70/105.99 (assume @p45 (forall @t100 (= (tptp.mulNat @t99 @t20) (tptp.addNat @t20 (tptp.mulNat @t98 @t20))))) % 105.70/105.99 (assume @p46 (forall @t51 (= (tptp.mulNat tptp.z @t20) tptp.z))) % 105.70/105.99 (assume @p47 @t108) % 105.70/105.99 (assume @p48 @t111) % 105.70/105.99 (assume @p49 (forall (@list @t23 @t16) (= (tptp.opt (tptp.x @t112 @t23)) (tptp.fail @t112 @t23)))) % 105.70/105.99 (assume @p50 (forall @t113 (= (tptp.opt (tptp.x @t50 @t23)) @t23))) % 105.70/105.99 (assume @p51 @t116) % 105.70/105.99 (assume @p52 (forall (@list @t52 @t117) (= (tptp.opt (tptp.y @t118 @t52)) (tptp.fail3 @t118 @t52)))) % 105.70/105.99 (assume @p53 (forall @t86 (= (tptp.opt (tptp.y @t50 @t52)) @t50))) % 105.70/105.99 (assume @p54 @t125) % 105.70/105.99 (assume @p55 true) % 105.70/105.99 (step @p56 :rule symm :premises (@p42)) % 105.70/105.99 (step @p57 :rule eq-symm :args (@t76 tptp.x2)) % 105.70/105.99 (step @p58 :rule cong :premises (@p57) :args (@t126)) % 105.70/105.99 (step @p59 :rule refl :args (@t15)) % 105.70/105.99 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t15 @t126))) % 105.70/105.99 (assume-push @p1044 @t15) % 105.70/105.99 (step @p62 :rule instantiate :premises (@p10) :args ((@list @t22))) % 105.70/105.99 (step-pop @p1045 :rule scope :premises (@p62)) % 105.70/105.99 (step @p63 :rule process_scope :premises (@p1045) :args (@t126)) % 105.70/105.99 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 105.70/105.99 (step @p66 :rule implies_elim :premises (@p65)) % 105.70/105.99 (step @p67 :rule chain_m_resolution :premises (@p66 @p10) :args ((not @t127) @t128 @t129)) % 105.70/105.99 (step @p68 :rule eq-symm :args (@t9 @t1)) % 105.70/105.99 (step @p69 :rule cong :premises (@p68) :args (@t10)) % 105.70/105.99 (step @p70 :rule eq_resolve :premises (@p6 @p69)) % 105.70/105.99 (step @p71 :rule instantiate :premises (@p70) :args (@t132)) % 105.70/105.99 (step @p72 :rule instantiate :premises (@p70) :args ((@list @t97 @t130))) % 105.70/105.99 (step @p73 :rule aci_norm :args ((= (or @t25 (or @t28 @t27)) @t133))) % 105.70/105.99 (step @p74 :rule refl :args (@t27)) % 105.70/105.99 (step @p75 :rule bool-double-not-elim :args (@t28)) % 105.70/105.99 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or (not @t29) @t27))) % 105.70/105.99 (step @p77 :rule bool-impl-elim :args (@t29 @t27)) % 105.70/105.99 (step @p78 :rule trans :premises (@p77 @p76)) % 105.70/105.99 (step @p79 :rule refl :args (@t25)) % 105.70/105.99 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t25 @t30))) % 105.70/105.99 (step @p81 :rule trans :premises (@p80 @p73)) % 105.70/105.99 (step @p82 :rule refl :args (@t30)) % 105.70/105.99 (step @p83 :rule bool-double-not-elim :args (@t25)) % 105.70/105.99 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or (not @t31) @t30))) % 105.70/105.99 (step @p85 :rule bool-impl-elim :args (@t31 @t30)) % 105.70/105.99 (step @p86 :rule trans :premises (@p85 @p84)) % 105.70/105.99 (step @p87 :rule trans :premises (@p86 @p81)) % 105.70/105.99 (step @p88 :rule cong :premises (@p87) :args (@t32)) % 105.70/105.99 (step @p89 :rule eq_resolve :premises (@p15 @p88)) % 105.70/105.99 (step @p90 :rule instantiate :premises (@p89) :args (@t136)) % 105.70/105.99 (step @p91 :rule instantiate :premises (@p23) :args (@t132)) % 105.70/105.99 (step @p92 :rule aci_norm :args ((= (or @t60 (or @t57 @t137)) @t138))) % 105.70/105.99 (step @p93 :rule refl :args (@t137)) % 105.70/105.99 (step @p94 :rule bool-double-not-elim :args (@t57)) % 105.70/105.99 (step 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@t377) % 105.70/105.99 (assume-push @p1177 @t241) % 105.70/105.99 (assume-push @p1178 @t234) % 105.70/105.99 (assume-push @p1179 @t223) % 105.70/105.99 (assume-push @p1180 @t378) % 105.70/105.99 (assume-push @p1181 @t379) % 105.70/105.99 (assume-push @p1182 @t166) % 105.70/105.99 (assume-push @p1183 @t152) % 105.70/105.99 (assume-push @p1184 @t380) % 105.70/105.99 (assume-push @p1185 @t370) % 105.70/105.99 (assume-push @p1186 @t321) % 105.70/105.99 (assume-push @p1187 @t260) % 105.70/105.99 (assume-push @p1188 @t223) % 105.70/105.99 (assume-push @p1189 @t379) % 105.70/105.99 (assume-push @p1190 @t285) % 105.70/105.99 (assume-push @p1191 @t289) % 105.70/105.99 (assume-push @p1192 @t375) % 105.70/105.99 (assume-push @p1193 @t247) % 105.70/105.99 (assume-push @p1194 @t377) % 105.70/105.99 (assume-push @p1195 @t378) % 105.70/105.99 (assume-push @p1196 @t234) % 105.70/105.99 (assume-push @p1197 @t376) % 105.70/105.99 (assume-push @p1198 @t313) % 105.70/105.99 (assume-push @p1199 @t211) % 105.70/105.99 (assume-push @p1200 @t207) % 105.70/105.99 (assume-push @p1201 @t200) % 105.70/105.99 (assume-push @p1202 @t193) % 105.70/105.99 (assume-push @p1203 @t189) % 105.70/105.99 (assume-push @p1204 @t371) % 105.70/105.99 (assume-push @p1205 @t183) % 105.70/105.99 (assume-push @p1206 @t316) % 105.70/105.99 (assume-push @p1207 @t251) % 105.70/105.99 (assume-push @p1208 @t241) % 105.70/105.99 (assume-push @p1209 @t166) % 105.70/105.99 (assume-push @p1210 @t152) % 105.70/105.99 (assume-push @p1211 @t380) % 105.70/105.99 (assume-push @p1212 @t365) % 105.70/105.99 (assume-push @p1213 @t353) % 105.70/105.99 (assume-push @p1214 @t349) % 105.70/105.99 (assume-push @p1215 @t330) % 105.70/105.99 (assume-push @p1216 @t267) % 105.70/105.99 (assume-push @p1217 @t366) % 105.70/105.99 (assume-push @p1218 @t359) % 105.70/105.99 (assume-push @p1219 @t369) % 105.70/105.99 (assume-push @p1220 @t362) % 105.70/105.99 (assume-push @p1221 @t368) % 105.70/105.99 (assume-push @p1222 @t342) % 105.70/105.99 (assume-push @p1223 @t372) % 105.70/105.99 (step @p844 :rule symm :premises (@p699)) % 105.70/105.99 (step @p845 :rule cong :premises (@p844) :args (@t320)) % 105.70/105.99 (step @p846 :rule symm :premises (@p483)) % 105.70/105.99 (step @p847 :rule symm :premises (@p372)) % 105.70/105.99 (step @p848 :rule symm :premises (@p1181)) % 105.70/105.99 (step @p849 :rule refl :args (@t315)) % 105.70/105.99 (step @p850 :rule refl :args (@t130)) % 105.70/105.99 (step @p851 :rule cong :premises (@p56 @p850) :args (@t373)) % 105.70/105.99 (step @p852 :rule cong :premises (@p851) :args (@t374)) % 105.70/105.99 (step @p853 :rule symm :premises (@p629)) % 105.70/105.99 (step @p854 :rule symm :premises (@p433)) % 105.70/105.99 (step @p855 :rule trans :premises (@p419 @p854 @p853 @p852)) % 105.70/105.99 (step @p856 :rule symm :premises (@p334)) % 105.70/105.99 (step @p857 :rule cong :premises (@p850 @p42) :args (@t312)) % 105.70/105.99 (step @p858 :rule symm :premises (@p633)) % 105.70/105.99 (step @p859 :rule trans :premises (@p858 @p857 @p420 @p402 @p856)) % 105.70/105.99 (step @p860 :rule trans :premises (@p859 @p855)) % 105.70/105.99 (step @p861 :rule cong :premises (@p860 @p849) :args ((tptp.x @t311 @t315))) % 105.70/105.99 (step @p862 :rule symm :premises (@p446)) % 105.70/105.99 (step @p863 :rule symm :premises (@p415)) % 105.70/105.99 (step @p864 :rule symm :premises (@p330)) % 105.70/105.99 (step @p865 :rule symm :premises (@p152)) % 105.70/105.99 (step @p866 :rule symm :premises (@p91)) % 105.70/105.99 (step @p867 :rule symm :premises (@p306)) % 105.70/105.99 (step @p868 :rule symm :premises (@p282)) % 105.70/105.99 (step @p869 :rule symm :premises (@p258)) % 105.70/105.99 (step @p870 :rule symm :premises (@p245)) % 105.70/105.99 (step @p871 :rule symm :premises (@p232)) % 105.70/105.99 (step @p872 :rule cong :premises (@p229 @p229) :args (@t121)) % 105.70/105.99 (step @p873 :rule trans :premises (@p872 @p871 @p870 @p869 @p868 @p867 @p320)) % 105.70/105.99 (step @p874 :rule cong :premises (@p873) :args (@t364)) % 105.70/105.99 (step @p875 :rule cong :premises (@p874) :args ((tptp.opt @t364))) % 105.70/105.99 (step @p876 :rule symm :premises (@p190)) % 105.70/105.99 (step @p877 :rule cong :premises (@p876) :args (@t352)) % 105.70/105.99 (step @p878 :rule symm :premises (@p741)) % 105.70/105.99 (step @p879 :rule symm :premises (@p681)) % 105.70/105.99 (step @p880 :rule refl :args (@t169)) % 105.70/105.99 (step @p881 :rule cong :premises (@p536 @p550) :args (@t301)) % 105.70/105.99 (step @p882 :rule trans :premises (@p552 @p881)) % 105.70/105.99 (step @p883 :rule cong :premises (@p882 @p880) :args (@t266)) % 105.70/105.99 (step @p884 :rule symm :premises (@p1171)) % 105.70/105.99 (step @p885 :rule cong :premises (@p550 @p536) :args (@t293)) % 105.70/105.99 (step @p886 :rule cong :premises (@p885) :args (@t361)) % 105.70/105.99 (step @p887 :rule cong :premises (@p550 @p551) :args (@t367)) % 105.70/105.99 (step @p888 :rule symm 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105.70/105.99 (step @p902 :rule cong :premises (@p901 @p899) :args (@t122)) % 105.70/105.99 (step @p903 :rule trans :premises (@p902 @p861 @p848 @p847 @p846 @p651 @p845)) % 105.70/105.99 (step-pop @p1224 :rule scope :premises (@p903)) % 105.70/105.99 (step-pop @p1225 :rule scope :premises (@p1224)) % 105.70/105.99 (step-pop @p1226 :rule scope :premises (@p1225)) % 105.70/105.99 (step-pop @p1227 :rule scope :premises (@p1226)) % 105.70/105.99 (step-pop @p1228 :rule scope :premises (@p1227)) % 105.70/105.99 (step-pop @p1229 :rule scope :premises (@p1228)) % 105.70/105.99 (step-pop @p1230 :rule scope :premises (@p1229)) % 105.70/105.99 (step-pop @p1231 :rule scope :premises (@p1230)) % 105.70/105.99 (step-pop @p1232 :rule scope :premises (@p1231)) % 105.70/105.99 (step-pop @p1233 :rule scope :premises (@p1232)) % 105.70/105.99 (step-pop @p1234 :rule scope :premises (@p1233)) % 105.70/105.99 (step-pop @p1235 :rule scope :premises (@p1234)) % 105.70/105.99 (step-pop @p1236 :rule scope :premises (@p1235)) % 105.70/105.99 (step-pop @p1237 :rule scope :premises (@p1236)) % 105.70/105.99 (step-pop @p1238 :rule scope :premises (@p1237)) % 105.70/105.99 (step-pop @p1239 :rule scope :premises (@p1238)) % 105.70/105.99 (step-pop @p1240 :rule scope :premises (@p1239)) % 105.70/105.99 (step-pop @p1241 :rule scope :premises (@p1240)) % 105.70/105.99 (step-pop @p1242 :rule scope :premises (@p1241)) % 105.70/105.99 (step-pop @p1243 :rule scope :premises (@p1242)) % 105.70/105.99 (step-pop @p1244 :rule scope :premises (@p1243)) % 105.70/105.99 (step-pop @p1245 :rule scope :premises (@p1244)) % 105.70/105.99 (step-pop @p1246 :rule scope :premises (@p1245)) % 105.70/105.99 (step-pop @p1247 :rule scope :premises (@p1246)) % 105.70/105.99 (step-pop @p1248 :rule scope :premises (@p1247)) % 105.70/105.99 (step-pop @p1249 :rule scope :premises (@p1248)) % 105.70/105.99 (step-pop @p1250 :rule scope :premises (@p1249)) % 105.70/105.99 (step-pop @p1251 :rule scope :premises (@p1250)) % 105.70/105.99 (step-pop @p1252 :rule scope :premises (@p1251)) % 105.70/105.99 (step-pop @p1253 :rule scope :premises (@p1252)) % 105.70/105.99 (step-pop @p1254 :rule scope :premises (@p1253)) % 105.70/105.99 (step-pop @p1255 :rule scope :premises (@p1254)) % 105.70/105.99 (step-pop @p1256 :rule scope :premises (@p1255)) % 105.70/105.99 (step-pop @p1257 :rule scope :premises (@p1256)) % 105.70/105.99 (step-pop @p1258 :rule scope :premises (@p1257)) % 105.70/105.99 (step-pop @p1259 :rule scope :premises (@p1258)) % 105.70/105.99 (step-pop @p1260 :rule scope :premises (@p1259)) % 105.70/105.99 (step-pop @p1261 :rule scope :premises (@p1260)) % 105.70/105.99 (step-pop @p1262 :rule scope :premises (@p1261)) % 105.70/105.99 (step @p904 :rule process_scope :premises (@p1262) :args (@t338)) % 105.70/105.99 (step @p944 :rule and_intro :premises (@p699 @p651 @p483 @p372 @p1181 @p512 @p56 @p629 @p433 @p419 @p334 @p402 @p420 @p633 @p320 @p306 @p282 @p258 @p245 @p232 @p229 @p637 @p446 @p415 @p330 @p152 @p91 @p190 @p746 @p741 @p681 @p1171 @p761 @p760 @p742 @p765 @p747 @p712 @p698)) % 105.70/105.99 (step @p945 :rule modus_ponens :premises (@p944 @p904)) % 105.70/105.99 (step-pop @p1263 :rule scope :premises (@p945)) % 105.70/105.99 (step-pop @p1264 :rule scope :premises (@p1263)) % 105.70/105.99 (step-pop @p1265 :rule scope :premises (@p1264)) % 105.70/105.99 (step-pop @p1266 :rule scope :premises (@p1265)) % 105.70/105.99 (step-pop @p1267 :rule scope :premises (@p1266)) % 105.70/105.99 (step-pop @p1268 :rule scope :premises (@p1267)) % 105.70/105.99 (step-pop @p1269 :rule scope :premises (@p1268)) % 105.70/105.99 (step-pop @p1270 :rule scope :premises (@p1269)) % 105.70/105.99 (step-pop @p1271 :rule scope :premises (@p1270)) % 105.70/105.99 (step-pop @p1272 :rule scope :premises (@p1271)) % 105.70/105.99 (step-pop @p1273 :rule scope :premises (@p1272)) % 105.70/105.99 (step-pop @p1274 :rule scope :premises (@p1273)) % 105.70/105.99 (step-pop @p1275 :rule scope :premises (@p1274)) % 105.70/105.99 (step-pop @p1276 :rule scope :premises (@p1275)) % 105.70/105.99 (step-pop @p1277 :rule scope :premises (@p1276)) % 105.70/105.99 (step-pop @p1278 :rule scope :premises (@p1277)) % 105.70/105.99 (step-pop @p1279 :rule scope :premises (@p1278)) % 105.70/105.99 (step-pop @p1280 :rule scope :premises (@p1279)) % 105.70/105.99 (step-pop @p1281 :rule scope :premises (@p1280)) % 105.70/105.99 (step-pop @p1282 :rule scope :premises (@p1281)) % 105.70/105.99 (step-pop @p1283 :rule scope :premises (@p1282)) % 105.70/105.99 (step-pop @p1284 :rule scope :premises (@p1283)) % 105.70/105.99 (step-pop @p1285 :rule scope :premises (@p1284)) % 105.70/105.99 (step-pop @p1286 :rule scope :premises (@p1285)) % 105.70/105.99 (step-pop @p1287 :rule scope :premises (@p1286)) % 105.70/105.99 (step-pop @p1288 :rule scope :premises (@p1287)) % 105.70/105.99 (step-pop @p1289 :rule scope :premises (@p1288)) % 105.70/105.99 (step-pop @p1290 :rule scope :premises (@p1289)) % 105.70/105.99 (step-pop @p1291 :rule scope :premises (@p1290)) % 105.70/105.99 (step-pop @p1292 :rule scope :premises (@p1291)) % 105.70/105.99 (step-pop @p1293 :rule scope :premises (@p1292)) % 105.70/105.99 (step-pop @p1294 :rule scope :premises (@p1293)) % 105.70/105.99 (step-pop @p1295 :rule scope :premises (@p1294)) % 105.70/105.99 (step-pop @p1296 :rule scope :premises (@p1295)) % 105.70/105.99 (step-pop @p1297 :rule scope :premises (@p1296)) % 105.70/105.99 (step-pop @p1298 :rule scope :premises (@p1297)) % 105.70/105.99 (step-pop @p1299 :rule scope :premises (@p1298)) % 105.70/105.99 (step-pop @p1300 :rule scope :premises (@p1299)) % 105.70/105.99 (step-pop @p1301 :rule scope :premises (@p1300)) % 105.70/105.99 (step @p946 :rule process_scope :premises (@p1301) :args (@t338)) % 105.70/105.99 (step @p986 :rule implies_elim :premises (@p946)) % 105.70/105.99 (step @p987 :rule cnf_and_neg :args (@t381)) % 105.70/105.99 (step @p988 :rule resolution :premises (@p987 @p986) :args (true @t381)) % 105.70/105.99 (step @p989 :rule reordering :premises (@p988) :args ((or @t306 @t305 (not @t211) (not @t207) (not @t200) (not @t365) (not @t362) (not @t366) (not @t193) (not @t359) (not @t368) @t304 (not @t353) (not @t369) (not @t349) (not @t189) (not @t342) (not @t370) (not @t371) (not @t372) @t338 (not @t330) (not @t321) (not @t316) (not @t313) (not @t375) (not @t267) (not @t260) (not @t251) (not @t247) (not @t376) (not @t377) (not @t241) (not @t234) (not @t223) (not @t378) @t382 (not @t166) (not @t152) (not @t380)))) % 105.70/105.99 (step @p990 :rule chain_m_resolution :premises (@p989 @p56 @p512 @p320 @p306 @p282 @p190 @p765 @p761 @p258 @p760 @p747 @p229 @p746 @p742 @p741 @p245 @p712 @p699 @p232 @p698 @p697 @p681 @p651 @p637 @p633 @p629 @p628 @p483 @p446 @p433 @p420 @p419 @p415 @p402 @p372 @p334 @p330 @p152 @p91) :args (@t382 (@list false false false false false false false false false false false false false false false false false false false false true false false false false false false false false false false false false false false false false false false) (@list @t289 @t285 @t211 @t207 @t200 @t365 @t362 @t366 @t193 @t359 @t368 @t183 @t353 @t369 @t349 @t189 @t342 @t370 @t371 @t372 @t338 @t330 @t321 @t316 @t313 @t375 @t267 @t260 @t251 @t247 @t376 @t377 @t241 @t234 @t223 @t378 @t166 @t152 @t380))) % 105.70/105.99 (step @p991 :rule eq-symm :args (@t385 @t135)) % 105.70/105.99 (step @p992 :rule cong :premises (@p991) :args (@t386)) % 105.70/106.00 (step @p993 :rule cong :premises (@p612 @p992) :args ((=> @t17 @t386))) % 105.70/106.00 (assume-push @p1302 @t17) % 105.70/106.00 (step @p995 :rule instantiate :premises (@p11) :args ((@list @t384 @t383 @t97 @t130))) % 105.70/106.00 (step-pop @p1303 :rule scope :premises (@p995)) % 105.70/106.00 (step @p996 :rule process_scope :premises (@p1303) :args (@t386)) % 105.70/106.00 (step @p998 :rule eq_resolve :premises (@p996 @p993)) % 105.70/106.00 (step @p999 :rule implies_elim :premises (@p998)) % 105.70/106.00 (step @p1000 :rule chain_m_resolution :premises (@p999 @p11) :args ((not (= @t135 @t385)) @t128 @t310)) % 105.70/106.00 (step @p1001 :rule false_intro :premises (@p1000)) % 105.70/106.00 (step @p1002 :rule refl :args (@t385)) % 105.70/106.00 (step @p850 :rule refl :args (@t130)) % 105.70/106.00 (step @p851 :rule cong :premises (@p56 @p850) :args (@t373)) % 105.70/106.00 (step @p1003 :rule cong :premises (@p851 @p1002) :args ((= @t373 @t385))) % 105.70/106.00 (step @p1004 :rule trans :premises (@p1003 @p1001)) % 105.70/106.00 (step @p1005 :rule cong :premises (@p42 @p850) :args (@t135)) % 105.70/106.00 (step @p1006 :rule cong :premises (@p1005) :args (@t387)) % 105.70/106.00 (step @p1007 :rule cong :premises (@p1005) :args (@t388)) % 105.70/106.00 (step @p1008 :rule cong :premises (@p1007 @p1006) :args (@t389)) % 105.70/106.00 (step @p1009 :rule cong :premises (@p1005 @p1008) :args (@t390)) % 105.70/106.00 (step @p1010 :rule trans :premises (@p1009 @p1004)) % 105.70/106.00 (step @p1011 :rule false_elim :premises (@p1010)) % 105.70/106.00 (step @p1012 :rule cnf_or_pos :args (@t392)) % 105.70/106.00 (step @p1013 :rule reordering :premises (@p1012) :args ((or @t391 @t390 @t379 (not @t392)))) % 105.70/106.00 (step @p1014 :rule chain_m_resolution :premises (@p1013 @p1011 @p990 @p90) :args (@t391 @t157 (@list @t390 @t379 @t392))) % 105.70/106.00 (assume-push @p1304 @t289) % 105.70/106.00 (assume-push @p1305 @t394) % 105.70/106.00 (assume-push @p1306 @t395) % 105.70/106.00 (assume-push @p1307 @t391) % 105.70/106.00 (assume-push @p1308 @t289) % 105.70/106.00 (assume-push @p1309 @t395) % 105.70/106.00 (assume-push @p1310 @t391) % 105.70/106.00 (assume-push @p1311 @t394) % 105.70/106.00 (step @p1023 :rule symm :premises (@p72)) % 105.70/106.00 (step @p1024 :rule symm :premises (@p1307)) % 105.70/106.00 (step @p1025 :rule cong :premises (@p1024) :args (@t393)) % 105.70/106.00 (step @p1026 :rule trans :premises (@p71 @p1025 @p1023 @p42)) % 105.70/106.00 (step-pop @p1312 :rule scope :premises (@p1026)) % 105.70/106.00 (step-pop @p1313 :rule scope :premises (@p1312)) % 105.70/106.00 (step-pop @p1314 :rule scope :premises (@p1313)) % 105.70/106.00 (step-pop @p1315 :rule scope :premises (@p1314)) % 105.70/106.00 (step @p1027 :rule process_scope :premises (@p1315) :args (@t127)) % 105.70/106.00 (step @p1032 :rule and_intro :premises (@p56 @p72 @p1307 @p71)) % 105.70/106.00 (step @p1033 :rule modus_ponens :premises (@p1032 @p1027)) % 105.70/106.00 (step-pop @p1316 :rule scope :premises (@p1033)) % 105.70/106.00 (step-pop @p1317 :rule scope :premises (@p1316)) % 105.70/106.00 (step-pop @p1318 :rule scope :premises (@p1317)) % 105.70/106.00 (step-pop @p1319 :rule scope :premises (@p1318)) % 105.70/106.00 (step @p1034 :rule process_scope :premises (@p1319) :args (@t127)) % 105.70/106.00 (step @p1039 :rule implies_elim :premises (@p1034)) % 105.70/106.00 (step @p1040 :rule cnf_and_neg :args (@t396)) % 105.70/106.00 (step @p1041 :rule resolution :premises (@p1040 @p1039) :args (true @t396)) % 105.70/106.00 (step @p1042 :rule reordering :premises (@p1041) :args ((or @t306 @t127 (not @t394) (not @t395) (not @t391)))) % 105.70/106.00 (step @p1043 false :rule chain_m_resolution :premises (@p1042 @p1014 @p72 @p71 @p67 @p56) :args (false (@list false false false true false) (@list @t391 @t395 @t394 @t127 @t289))) % 105.70/106.00 ) % 105.70/106.00 % SZS output end Proof % 105.70/106.00 % cvc5 exiting %------------------------------------------------------------------------------