%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX190-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 09:07:19 AM UTC 2026 % Result : Unsatisfiable 37.52s 37.71s % Output : Proof 37.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWX190-1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n009.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 23:05:14 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.71/15.94 --- Run --no-e-matching --full-saturate-quant at 6... % 21.72/21.99 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 21.83/28.03 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.85/34.09 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 37.52/37.71 % SZS status Unsatisfiable % 37.52/37.71 % SZS output start Proof % 37.52/37.72 ( % 37.52/37.72 (declare-sort $$unsorted 0) % 37.52/37.72 (declare-const tptp.prop4 (-> $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.fail3 (-> $$unsorted $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.fail12 (-> $$unsorted $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.fail32 (-> $$unsorted $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.mulNat (-> $$unsorted $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.eq (-> $$unsorted $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.fail (-> $$unsorted $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.eq3 (-> $$unsorted $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.fail22 (-> $$unsorted $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.opt (-> $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.fail1 (-> $$unsorted $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.z $$unsorted) % 37.52/37.72 (declare-const tptp.fail2 (-> $$unsorted $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.d (-> $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.bfalse $$unsorted) % 37.52/37.72 (declare-const tptp.fail4 (-> $$unsorted $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.y (-> $$unsorted $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.addNat (-> $$unsorted $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.btrue $$unsorted) % 37.52/37.72 (declare-const tptp.eq2 (-> $$unsorted $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.aux (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.x (-> $$unsorted $$unsorted $$unsorted)) % 37.52/37.72 (declare-const tptp.x2 $$unsorted) % 37.52/37.72 (define @t1 () (@var "Y" $$unsorted)) % 37.52/37.72 (define @t2 () (tptp.s tptp.z)) % 37.52/37.72 (define @t3 () (tptp.s @t2)) % 37.52/37.72 (define @t4 () (tptp.n @t3)) % 37.52/37.72 (define @t5 () (@var "E" $$unsorted)) % 37.52/37.72 (define @t6 () (@list @t1 @t5)) % 37.52/37.72 (define @t7 () (@var "C" $$unsorted)) % 37.52/37.72 (define @t8 () (@var "B" $$unsorted)) % 37.52/37.72 (define @t9 () (tptp.opt @t5)) % 37.52/37.72 (define @t10 () (@var "X" $$unsorted)) % 37.52/37.72 (define @t11 () (tptp.n @t10)) % 37.52/37.72 (define @t12 () (tptp.opt @t11)) % 37.52/37.72 (define @t13 () (@var "X2" $$unsorted)) % 37.52/37.72 (define @t14 () (tptp.y @t10 @t13)) % 37.52/37.72 (define @t15 () (@list @t10 @t13 @t5)) % 37.52/37.72 (define @t16 () (tptp.opt tptp.x2)) % 37.52/37.72 (define @t17 () (@list @t5)) % 37.52/37.72 (define @t18 () (@var "B2" $$unsorted)) % 37.52/37.72 (define @t19 () (@var "A2" $$unsorted)) % 37.52/37.72 (define @t20 () (tptp.n @t19)) % 37.52/37.72 (define @t21 () (tptp.x @t10 @t13)) % 37.52/37.72 (define @t22 () (@list @t19 @t10 @t13)) % 37.52/37.72 (define @t23 () (forall @t15 (= (tptp.fail1 @t14 @t5) (tptp.fail2 @t14 @t5)))) % 37.52/37.72 (define @t24 () (tptp.n (tptp.s @t13))) % 37.52/37.72 (define @t25 () (tptp.n tptp.z)) % 37.52/37.72 (define @t26 () (@list @t1)) % 37.52/37.72 (define @t27 () (@list @t1 @t10 @t13)) % 37.52/37.72 (define @t28 () (forall @t27 (= (tptp.fail @t1 @t14) (tptp.fail1 @t1 @t14)))) % 37.52/37.72 (define @t29 () (@var "E2" $$unsorted)) % 37.52/37.72 (define @t30 () (@var "X5" $$unsorted)) % 37.52/37.72 (define @t31 () (@var "B3" $$unsorted)) % 37.52/37.72 (define @t32 () (@var "A3" $$unsorted)) % 37.52/37.72 (define @t33 () (tptp.n @t32)) % 37.52/37.72 (define @t34 () (@list @t32 @t10 @t13)) % 37.52/37.72 (define @t35 () (@var "B4" $$unsorted)) % 37.52/37.72 (define @t36 () (@var "A4" $$unsorted)) % 37.52/37.72 (define @t37 () (@list @t10 @t13 @t29)) % 37.52/37.72 (define @t38 () (@list @t29)) % 37.52/37.72 (define @t39 () (@var "X8" $$unsorted)) % 37.52/37.72 (define @t40 () (tptp.n (tptp.s (tptp.s @t39)))) % 37.52/37.72 (define @t41 () (tptp.n @t2)) % 37.52/37.72 (define @t42 () (@list @t30)) % 37.52/37.72 (define @t43 () (@list @t30 @t10 @t13)) % 37.52/37.72 (define @t44 () (@var "X11" $$unsorted)) % 37.52/37.72 (define @t45 () (tptp.n (tptp.s (tptp.s @t44)))) % 37.52/37.72 (define @t46 () (@var "X13" $$unsorted)) % 37.52/37.72 (define @t47 () (tptp.n (tptp.s @t46))) % 37.52/37.72 (define @t48 () (tptp.n @t1)) % 37.52/37.72 (define @t49 () (tptp.d @t48)) % 37.52/37.72 (define @t50 () (forall @t26 (= @t49 @t25))) % 37.52/37.72 (define @t51 () (@var "G" $$unsorted)) % 37.52/37.72 (define @t52 () (@var "F" $$unsorted)) % 37.52/37.72 (define @t53 () (@var "G2" $$unsorted)) % 37.52/37.72 (define @t54 () (@var "H" $$unsorted)) % 37.52/37.72 (define @t55 () (tptp.d tptp.x2)) % 37.52/37.72 (define @t56 () (@var "Z" $$unsorted)) % 37.52/37.72 (define @t57 () (tptp.s @t56)) % 37.52/37.72 (define @t58 () (@list @t56 @t1)) % 37.52/37.72 (define @t59 () (@var "X4" $$unsorted)) % 37.52/37.72 (define @t60 () (tptp.n (tptp.s @t59))) % 37.52/37.72 (define @t61 () (@var "X15" $$unsorted)) % 37.52/37.72 (define @t62 () (tptp.n (tptp.s @t61))) % 37.52/37.72 (define @t63 () (@list @t10)) % 37.52/37.72 (define @t64 () (forall @t63 (= @t12 @t11))) % 37.52/37.72 (define @t65 () (tptp.prop4 @t10)) % 37.52/37.72 (define @t66 () (tptp.eq @t10 @t1)) % 37.52/37.72 (define @t67 () (@list @t10 @t1)) % 37.52/37.72 (define @t68 () (forall @t67 (= (tptp.eq2 @t11 @t48) @t66))) % 37.52/37.72 (define @t69 () (tptp.x @t56 @t13)) % 37.52/37.72 (define @t70 () (tptp.x @t10 @t1)) % 37.52/37.72 (define @t71 () (tptp.eq2 @t70 @t69)) % 37.52/37.72 (define @t72 () (tptp.eq2 @t10 @t56)) % 37.52/37.72 (define @t73 () (not (= @t72 tptp.bfalse))) % 37.52/37.72 (define @t74 () (@list @t10 @t56 @t1 @t13)) % 37.52/37.72 (define @t75 () (tptp.eq2 @t1 @t13)) % 37.52/37.72 (define @t76 () (not (= @t72 tptp.btrue))) % 37.52/37.72 (define @t77 () (tptp.y @t56 @t13)) % 37.52/37.72 (define @t78 () (tptp.y @t10 @t1)) % 37.52/37.72 (define @t79 () (tptp.eq2 @t78 @t77)) % 37.52/37.72 (define @t80 () (or @t73 (= @t79 tptp.bfalse))) % 37.52/37.72 (define @t81 () (forall @t74 @t80)) % 37.52/37.72 (define @t82 () (tptp.eq2 @t11 (tptp.x @t1 @t56))) % 37.52/37.72 (define @t83 () (@list @t10 @t1 @t56)) % 37.52/37.72 (define @t84 () (forall @t83 (= @t82 tptp.bfalse))) % 37.52/37.72 (define @t85 () (tptp.n @t56)) % 37.52/37.72 (define @t86 () (@list @t10 @t1 @t56 @t13)) % 37.52/37.72 (define @t87 () (tptp.s @t10)) % 37.52/37.72 (define @t88 () (tptp.eq tptp.z @t87)) % 37.52/37.72 (define @t89 () (forall @t63 (= @t88 tptp.bfalse))) % 37.52/37.72 (define @t90 () (tptp.eq2 @t10 @t10)) % 37.52/37.72 (define @t91 () (forall @t63 (= @t90 tptp.btrue))) % 37.52/37.72 (define @t92 () (tptp.eq3 @t10 @t10)) % 37.52/37.72 (define @t93 () (forall @t63 (= @t92 tptp.btrue))) % 37.52/37.72 (define @t94 () (tptp.eq3 @t65 tptp.bfalse)) % 37.52/37.72 (define @t95 () (not (= @t94 tptp.btrue))) % 37.52/37.72 (define @t96 () (forall @t63 @t95)) % 37.52/37.72 (define @t97 () (@list @t2)) % 37.52/37.72 (define @t98 () (@list @t16)) % 37.52/37.72 (define @t99 () (@list @t16 @t16)) % 37.52/37.72 (define @t100 () (@list tptp.x2)) % 37.52/37.72 (define @t101 () (tptp.opt @t41)) % 37.52/37.72 (define @t102 () (tptp.opt (tptp.opt @t55))) % 37.52/37.72 (define @t103 () (tptp.opt @t25)) % 37.52/37.72 (define @t104 () (tptp.eq2 @t25 @t4)) % 37.52/37.72 (define @t105 () (tptp.eq tptp.z @t3)) % 37.52/37.72 (define @t106 () (= @t104 @t105)) % 37.52/37.72 (define @t107 () (@list false)) % 37.52/37.72 (define @t108 () (tptp.y @t4 @t102)) % 37.52/37.72 (define @t109 () (tptp.y @t103 @t16)) % 37.52/37.72 (define @t110 () (tptp.eq2 @t109 @t108)) % 37.52/37.72 (define @t111 () (= tptp.bfalse @t110)) % 37.52/37.72 (define @t112 () (= tptp.bfalse (tptp.eq2 @t103 @t4))) % 37.52/37.72 (define @t113 () (not @t112)) % 37.52/37.72 (define @t114 () (or @t113 @t111)) % 37.52/37.72 (define @t115 () (tptp.y @t4 @t55)) % 37.52/37.72 (define @t116 () (tptp.x tptp.x2 @t16)) % 37.52/37.72 (define @t117 () (@list @t116)) % 37.52/37.72 (define @t118 () (@list @t103 @t16 @t108)) % 37.52/37.72 (define @t119 () (tptp.fail1 @t109 @t108)) % 37.52/37.72 (define @t120 () (tptp.fail2 @t109 @t108)) % 37.52/37.72 (define @t121 () (= @t119 @t120)) % 37.52/37.72 (define @t122 () (= @t120 @t119)) % 37.52/37.72 (define @t123 () (tptp.fail @t109 @t108)) % 37.52/37.72 (define @t124 () (= @t123 @t119)) % 37.52/37.72 (define @t125 () (@list @t109 @t4 @t102)) % 37.52/37.72 (define @t126 () (= @t119 @t123)) % 37.52/37.72 (define @t127 () (tptp.opt @t108)) % 37.52/37.72 (define @t128 () (tptp.opt @t109)) % 37.52/37.72 (define @t129 () (tptp.addNat @t2 @t2)) % 37.52/37.72 (define @t130 () (tptp.prop4 @t116)) % 37.52/37.72 (define @t131 () (tptp.eq3 @t130 @t130)) % 37.52/37.72 (define @t132 () (= tptp.btrue @t131)) % 37.52/37.72 (define @t133 () (not @t132)) % 37.52/37.72 (define @t134 () (tptp.x @t128 @t127)) % 37.52/37.72 (define @t135 () (tptp.n @t129)) % 37.52/37.72 (define @t136 () (= tptp.bfalse (tptp.eq2 @t135 @t134))) % 37.52/37.72 (define @t137 () (not @t136)) % 37.52/37.72 (define @t138 () (= tptp.btrue (tptp.eq3 @t130 tptp.bfalse))) % 37.52/37.72 (define @t139 () (not @t126)) % 37.52/37.72 (define @t140 () (not @t122)) % 37.52/37.72 (define @t141 () (= (tptp.aux @t109 @t108 tptp.bfalse) @t134)) % 37.52/37.72 (define @t142 () (not @t141)) % 37.52/37.72 (define @t143 () (tptp.opt @t116)) % 37.52/37.72 (define @t144 () (tptp.d @t143)) % 37.52/37.72 (define @t145 () (tptp.opt @t144)) % 37.52/37.72 (define @t146 () (tptp.d @t116)) % 37.52/37.72 (define @t147 () (tptp.opt @t146)) % 37.52/37.72 (define @t148 () (tptp.eq2 @t147 @t145)) % 37.52/37.72 (define @t149 () (= @t130 @t148)) % 37.52/37.72 (define @t150 () (not @t149)) % 37.52/37.72 (define @t151 () (tptp.fail @t109 @t115)) % 37.52/37.72 (define @t152 () (= (tptp.opt (tptp.x @t109 @t115)) @t151)) % 37.52/37.72 (define @t153 () (not @t152)) % 37.52/37.72 (define @t154 () (tptp.fail1 @t41 @t41)) % 37.52/37.72 (define @t155 () (= @t154 @t135)) % 37.52/37.72 (define @t156 () (not @t155)) % 37.52/37.72 (define @t157 () (tptp.aux @t109 @t108 @t110)) % 37.52/37.72 (define @t158 () (= @t120 @t157)) % 37.52/37.72 (define @t159 () (not @t158)) % 37.52/37.72 (define @t160 () (not @t111)) % 37.52/37.72 (define @t161 () (tptp.d @t4)) % 37.52/37.72 (define @t162 () (tptp.y @t161 tptp.x2)) % 37.52/37.72 (define @t163 () (tptp.x @t162 @t115)) % 37.52/37.72 (define @t164 () (= (tptp.d (tptp.y @t4 tptp.x2)) @t163)) % 37.52/37.72 (define @t165 () (not @t164)) % 37.52/37.72 (define @t166 () (= @t25 @t161)) % 37.52/37.72 (define @t167 () (not @t166)) % 37.52/37.72 (define @t168 () (tptp.opt @t16)) % 37.52/37.72 (define @t169 () (tptp.y @t4 @t168)) % 37.52/37.72 (define @t170 () (= (tptp.aux @t16 @t16 tptp.btrue) @t169)) % 37.52/37.72 (define @t171 () (not @t170)) % 37.52/37.72 (define @t172 () (= (tptp.fail @t41 @t41) @t154)) % 37.52/37.72 (define @t173 () (not @t172)) % 37.52/37.72 (define @t174 () (tptp.fail2 tptp.x2 tptp.x2)) % 37.52/37.72 (define @t175 () (tptp.fail1 tptp.x2 tptp.x2)) % 37.52/37.72 (define @t176 () (= @t175 @t174)) % 37.52/37.72 (define @t177 () (not @t176)) % 37.52/37.72 (define @t178 () (tptp.fail @t41 @t101)) % 37.52/37.72 (define @t179 () (= (tptp.opt (tptp.x @t41 @t101)) @t178)) % 37.52/37.72 (define @t180 () (not @t179)) % 37.52/37.72 (define @t181 () (tptp.x @t55 @t55)) % 37.52/37.72 (define @t182 () (= (tptp.d (tptp.x tptp.x2 tptp.x2)) @t181)) % 37.52/37.72 (define @t183 () (not @t182)) % 37.52/37.72 (define @t184 () (= (tptp.fail tptp.x2 tptp.x2) @t175)) % 37.52/37.72 (define @t185 () (not @t184)) % 37.52/37.72 (define @t186 () (tptp.eq2 @t16 @t16)) % 37.52/37.72 (define @t187 () (tptp.aux @t16 @t16 @t186)) % 37.52/37.72 (define @t188 () (= (tptp.fail2 @t16 @t16) @t187)) % 37.52/37.72 (define @t189 () (not @t188)) % 37.52/37.72 (define @t190 () (= tptp.btrue @t186)) % 37.52/37.72 (define @t191 () (not @t190)) % 37.52/37.72 (define @t192 () (= @t25 @t103)) % 37.52/37.72 (define @t193 () (not @t192)) % 37.52/37.72 (define @t194 () (tptp.fail tptp.x2 @t16)) % 37.52/37.72 (define @t195 () (= @t143 @t194)) % 37.52/37.72 (define @t196 () (not @t195)) % 37.52/37.72 (define @t197 () (= @t41 @t101)) % 37.52/37.72 (define @t198 () (not @t197)) % 37.52/37.72 (define @t199 () (= tptp.x2 @t16)) % 37.52/37.72 (define @t200 () (not @t199)) % 37.52/37.72 (define @t201 () (= @t41 @t55)) % 37.52/37.72 (define @t202 () (not @t201)) % 37.52/37.72 (define @t203 () (not @t138)) % 37.52/37.72 (define @t204 () (tptp.x @t16 @t16)) % 37.52/37.72 (define @t205 () (tptp.opt @t204)) % 37.52/37.72 (define @t206 () (tptp.d @t205)) % 37.52/37.72 (define @t207 () (tptp.x @t101 @t101)) % 37.52/37.72 (define @t208 () (and @t133 @t132)) % 37.52/37.72 (assume @p1 (forall @t6 (= (tptp.aux @t1 @t5 tptp.btrue) (tptp.y @t4 (tptp.opt @t1))))) % 37.52/37.72 (assume @p2 (forall (@list @t8 @t7 @t5) (= (tptp.aux (tptp.x @t8 @t7) @t5 tptp.bfalse) (tptp.opt (tptp.x @t8 (tptp.x @t7 @t5)))))) % 37.52/37.72 (assume @p3 (forall (@list @t10 @t5) (= (tptp.aux @t11 @t5 tptp.bfalse) (tptp.x @t12 @t9)))) % 37.52/37.72 (assume @p4 (forall @t15 (= (tptp.aux @t14 @t5 tptp.bfalse) (tptp.x (tptp.opt @t14) @t9)))) % 37.52/37.72 (assume @p5 (forall @t17 (= (tptp.aux tptp.x2 @t5 tptp.bfalse) (tptp.x @t16 @t9)))) % 37.52/37.72 (assume @p6 (forall @t6 (= (tptp.fail2 @t1 @t5) (tptp.aux @t1 @t5 (tptp.eq2 @t1 @t5))))) % 37.52/37.72 (assume @p7 (forall (@list @t19 @t18) (= (tptp.fail1 @t20 (tptp.n @t18)) (tptp.n (tptp.addNat @t19 @t18))))) % 37.52/37.72 (assume @p8 (forall @t22 (= (tptp.fail1 @t20 @t21) (tptp.fail2 @t20 @t21)))) % 37.52/37.72 (assume @p9 (forall @t22 (= (tptp.fail1 @t20 @t14) (tptp.fail2 @t20 @t14)))) % 37.52/37.72 (assume @p10 (forall (@list @t19) (= (tptp.fail1 @t20 tptp.x2) (tptp.fail2 @t20 tptp.x2)))) % 37.52/37.72 (assume @p11 (forall @t15 (= (tptp.fail1 @t21 @t5) (tptp.fail2 @t21 @t5)))) % 37.52/37.72 (assume @p12 @t23) % 37.52/37.72 (assume @p13 (forall @t17 (= (tptp.fail1 tptp.x2 @t5) (tptp.fail2 tptp.x2 @t5)))) % 37.52/37.72 (assume @p14 (forall (@list @t1 @t13) (= (tptp.fail @t1 @t24) (tptp.fail1 @t1 @t24)))) % 37.52/37.72 (assume @p15 (forall @t26 (= (tptp.fail @t1 @t25) @t1))) % 37.52/37.72 (assume @p16 (forall @t27 (= (tptp.fail @t1 @t21) (tptp.fail1 @t1 @t21)))) % 37.52/37.72 (assume @p17 @t28) % 37.52/37.72 (assume @p18 (forall @t26 (= (tptp.fail @t1 tptp.x2) (tptp.fail1 @t1 tptp.x2)))) % 37.52/37.72 (assume @p19 (forall (@list @t30 @t29) (= (tptp.fail4 @t30 @t29) (tptp.y (tptp.opt @t30) (tptp.opt @t29))))) % 37.52/37.72 (assume @p20 (forall (@list @t32 @t31) (= (tptp.fail32 @t33 (tptp.n @t31)) (tptp.n (tptp.mulNat @t32 @t31))))) % 37.52/37.72 (assume @p21 (forall @t34 (= (tptp.fail32 @t33 @t21) (tptp.fail4 @t33 @t21)))) % 37.52/37.72 (assume @p22 (forall @t34 (= (tptp.fail32 @t33 @t14) (tptp.fail4 @t33 @t14)))) % 37.52/37.72 (assume @p23 (forall (@list @t32) (= (tptp.fail32 @t33 tptp.x2) (tptp.fail4 @t33 tptp.x2)))) % 37.52/37.72 (assume @p24 (forall (@list @t36 @t35 @t29) (= (tptp.fail32 (tptp.y @t36 @t35) @t29) (tptp.opt (tptp.y @t36 (tptp.y @t35 @t29)))))) % 37.52/37.72 (assume @p25 (forall @t37 (= (tptp.fail32 @t21 @t29) (tptp.fail4 @t21 @t29)))) % 37.52/37.72 (assume @p26 (forall @t38 (= (tptp.fail32 tptp.x2 @t29) (tptp.fail4 tptp.x2 @t29)))) % 37.52/37.72 (assume @p27 (forall (@list @t30 @t39) (= (tptp.fail22 @t30 @t40) (tptp.fail32 @t30 @t40)))) % 37.52/37.72 (assume @p28 (forall @t42 (= (tptp.fail22 @t30 @t41) @t30))) % 37.52/37.72 (assume @p29 (forall @t42 (= (tptp.fail22 @t30 @t25) (tptp.fail32 @t30 @t25)))) % 37.52/37.72 (assume @p30 (forall @t43 (= (tptp.fail22 @t30 @t21) (tptp.fail32 @t30 @t21)))) % 37.52/37.72 (assume @p31 (forall @t43 (= (tptp.fail22 @t30 @t14) (tptp.fail32 @t30 @t14)))) % 37.52/37.72 (assume @p32 (forall @t42 (= (tptp.fail22 @t30 tptp.x2) (tptp.fail32 @t30 tptp.x2)))) % 37.52/37.72 (assume @p33 (forall (@list @t44 @t29) (= (tptp.fail12 @t45 @t29) (tptp.fail22 @t45 @t29)))) % 37.52/37.72 (assume @p34 (forall @t38 (= (tptp.fail12 @t41 @t29) @t29))) % 37.52/37.72 (assume @p35 (forall @t38 (= (tptp.fail12 @t25 @t29) (tptp.fail22 @t25 @t29)))) % 37.52/37.72 (assume @p36 (forall @t37 (= (tptp.fail12 @t21 @t29) (tptp.fail22 @t21 @t29)))) % 37.52/37.72 (assume @p37 (forall @t37 (= (tptp.fail12 @t14 @t29) (tptp.fail22 @t14 @t29)))) % 37.52/37.72 (assume @p38 (forall @t38 (= (tptp.fail12 tptp.x2 @t29) (tptp.fail22 tptp.x2 @t29)))) % 37.52/37.72 (assume @p39 (forall (@list @t30 @t46) (= (tptp.fail3 @t30 @t47) (tptp.fail12 @t30 @t47)))) % 37.52/37.72 (assume @p40 (forall @t42 (= (tptp.fail3 @t30 @t25) @t25))) % 37.52/37.72 (assume @p41 (forall @t43 (= (tptp.fail3 @t30 @t21) (tptp.fail12 @t30 @t21)))) % 37.52/37.72 (assume @p42 (forall @t43 (= (tptp.fail3 @t30 @t14) (tptp.fail12 @t30 @t14)))) % 37.52/37.72 (assume @p43 (forall @t42 (= (tptp.fail3 @t30 tptp.x2) (tptp.fail12 @t30 tptp.x2)))) % 37.52/37.72 (assume @p44 @t50) % 37.52/37.72 (assume @p45 (forall (@list @t52 @t51) (= (tptp.d (tptp.x @t52 @t51)) (tptp.x (tptp.d @t52) (tptp.d @t51))))) % 37.52/37.72 (assume @p46 (forall (@list @t54 @t53) (= (tptp.d (tptp.y @t54 @t53)) (tptp.x (tptp.y (tptp.d @t54) @t53) (tptp.y @t54 (tptp.d @t53)))))) % 37.52/37.72 (assume @p47 (= @t55 @t41)) % 37.52/37.72 (assume @p48 (forall @t58 (= (tptp.addNat @t57 @t1) (tptp.s (tptp.addNat @t56 @t1))))) % 37.52/37.72 (assume @p49 (forall @t26 (= (tptp.addNat tptp.z @t1) @t1))) % 37.52/37.72 (assume @p50 (forall @t58 (= (tptp.mulNat @t57 @t1) (tptp.addNat @t1 (tptp.mulNat @t56 @t1))))) % 37.52/37.72 (assume @p51 (forall @t26 (= (tptp.mulNat tptp.z @t1) tptp.z))) % 37.52/37.72 (assume @p52 (forall (@list @t59 @t5) (= (tptp.opt (tptp.x @t60 @t5)) (tptp.fail @t60 @t5)))) % 37.52/37.72 (assume @p53 (forall @t17 (= (tptp.opt (tptp.x @t25 @t5)) @t5))) % 37.52/37.72 (assume @p54 (forall @t15 (= (tptp.opt (tptp.x @t21 @t5)) (tptp.fail @t21 @t5)))) % 37.52/37.72 (assume @p55 (forall @t15 (= (tptp.opt (tptp.x @t14 @t5)) (tptp.fail @t14 @t5)))) % 37.52/37.72 (assume @p56 (forall @t17 (= (tptp.opt (tptp.x tptp.x2 @t5)) (tptp.fail tptp.x2 @t5)))) % 37.52/37.72 (assume @p57 (forall (@list @t61 @t29) (= (tptp.opt (tptp.y @t62 @t29)) (tptp.fail3 @t62 @t29)))) % 37.52/37.72 (assume @p58 (forall @t38 (= (tptp.opt (tptp.y @t25 @t29)) @t25))) % 37.52/37.72 (assume @p59 (forall @t37 (= (tptp.opt (tptp.y @t21 @t29)) (tptp.fail3 @t21 @t29)))) % 37.52/37.72 (assume @p60 (forall @t37 (= (tptp.opt (tptp.y @t14 @t29)) (tptp.fail3 @t14 @t29)))) % 37.52/37.72 (assume @p61 (forall @t38 (= (tptp.opt (tptp.y tptp.x2 @t29)) (tptp.fail3 tptp.x2 @t29)))) % 37.52/37.72 (assume @p62 @t64) % 37.52/37.72 (assume @p63 (= @t16 tptp.x2)) % 37.52/37.72 (assume @p64 (forall @t63 (= @t65 (tptp.eq2 (tptp.opt (tptp.d @t10)) (tptp.opt (tptp.d (tptp.opt @t10))))))) % 37.52/37.72 (assume @p65 (= (tptp.eq3 tptp.bfalse tptp.btrue) tptp.bfalse)) % 37.52/37.72 (assume @p66 (= (tptp.eq3 tptp.btrue tptp.bfalse) tptp.bfalse)) % 37.52/37.72 (assume @p67 @t68) % 37.52/37.72 (assume @p68 (forall @t74 (or @t73 (= @t71 tptp.bfalse)))) % 37.52/37.72 (assume @p69 (forall @t74 (or @t76 (= @t71 @t75)))) % 37.52/37.72 (assume @p70 @t81) % 37.52/37.72 (assume @p71 (forall @t74 (or @t76 (= @t79 @t75)))) % 37.52/37.72 (assume @p72 @t84) % 37.52/37.72 (assume @p73 (forall @t83 (= (tptp.eq2 @t11 (tptp.y @t1 @t56)) tptp.bfalse))) % 37.52/37.72 (assume @p74 (forall @t63 (= (tptp.eq2 @t11 tptp.x2) tptp.bfalse))) % 37.52/37.72 (assume @p75 (forall @t83 (= (tptp.eq2 @t70 @t85) tptp.bfalse))) % 37.52/37.72 (assume @p76 (forall @t86 (= (tptp.eq2 @t70 @t77) tptp.bfalse))) % 37.52/37.72 (assume @p77 (forall @t67 (= (tptp.eq2 @t70 tptp.x2) tptp.bfalse))) % 37.52/37.72 (assume @p78 (forall @t83 (= (tptp.eq2 @t78 @t85) tptp.bfalse))) % 37.52/37.72 (assume @p79 (forall @t86 (= (tptp.eq2 @t78 @t69) tptp.bfalse))) % 37.52/37.72 (assume @p80 (forall @t67 (= (tptp.eq2 @t78 tptp.x2) tptp.bfalse))) % 37.52/37.72 (assume @p81 (forall @t63 (= (tptp.eq2 tptp.x2 @t11) tptp.bfalse))) % 37.52/37.72 (assume @p82 (forall @t67 (= (tptp.eq2 tptp.x2 @t70) tptp.bfalse))) % 37.52/37.72 (assume @p83 (forall @t67 (= (tptp.eq2 tptp.x2 @t78) tptp.bfalse))) % 37.52/37.72 (assume @p84 (forall @t67 (= (tptp.eq @t87 (tptp.s @t1)) @t66))) % 37.52/37.72 (assume @p85 (forall @t63 (= (tptp.eq @t87 tptp.z) tptp.bfalse))) % 37.52/37.72 (assume @p86 @t89) % 37.52/37.72 (assume @p87 (forall @t63 (= (tptp.eq @t10 @t10) tptp.btrue))) % 37.52/37.72 (assume @p88 @t91) % 37.52/37.72 (assume @p89 @t93) % 37.52/37.72 (assume @p90 @t96) % 37.52/37.72 (step @p91 :rule symm :premises (@p47)) % 37.52/37.72 (step @p92 :rule symm :premises (@p63)) % 37.52/37.72 (step @p93 :rule eq-symm :args (@t12 @t11)) % 37.52/37.72 (step @p94 :rule cong :premises (@p93) :args (@t64)) % 37.52/37.72 (step @p95 :rule eq_resolve :premises (@p62 @p94)) % 37.52/37.72 (step @p96 :rule instantiate :premises (@p95) :args (@t97)) % 37.52/37.72 (step @p97 :rule instantiate :premises (@p56) :args (@t98)) % 37.52/37.72 (step @p98 :rule instantiate :premises (@p95) :args ((@list tptp.z))) % 37.52/37.72 (step @p99 :rule eq-symm :args (@t90 tptp.btrue)) % 37.52/37.72 (step @p100 :rule cong :premises (@p99) :args (@t91)) % 37.52/37.72 (step @p101 :rule eq_resolve :premises (@p88 @p100)) % 37.52/37.72 (step @p102 :rule instantiate :premises (@p101) :args (@t98)) % 37.52/37.72 (step @p103 :rule instantiate :premises (@p6) :args (@t99)) % 37.52/37.72 (step @p104 :rule instantiate :premises (@p18) :args (@t100)) % 37.52/37.72 (step @p105 :rule instantiate :premises (@p45) :args ((@list tptp.x2 tptp.x2))) % 37.52/37.72 (step @p106 :rule instantiate :premises (@p52) :args ((@list tptp.z @t101))) % 37.52/37.72 (step @p107 :rule instantiate :premises (@p13) :args (@t100)) % 37.52/37.72 (step @p108 :rule instantiate :premises (@p14) :args ((@list @t41 tptp.z))) % 37.52/37.72 (step @p109 :rule instantiate :premises (@p1) :args (@t99)) % 37.52/37.72 (step @p110 :rule eq-symm :args (@t49 @t25)) % 37.52/37.72 (step @p111 :rule cong :premises (@p110) :args (@t50)) % 37.52/37.72 (step @p112 :rule eq_resolve :premises (@p44 @p111)) % 37.52/37.72 (step @p113 :rule instantiate :premises (@p112) :args ((@list @t3))) % 37.52/37.72 (step @p114 :rule instantiate :premises (@p46) :args ((@list @t4 tptp.x2))) % 37.52/37.72 (step @p115 :rule eq-symm :args (@t79 tptp.bfalse)) % 37.52/37.72 (step @p116 :rule eq-symm :args (@t72 tptp.bfalse)) % 37.52/37.72 (step @p117 :rule cong :premises (@p116) :args (@t73)) % 37.52/37.72 (step @p118 :rule nary_cong :premises (@p117 @p115) :args (@t80)) % 37.52/37.72 (step @p119 :rule cong :premises (@p118) :args (@t81)) % 37.52/37.72 (step @p120 :rule eq_resolve :premises (@p70 @p119)) % 37.52/37.72 (step @p121 :rule instantiate :premises (@p120) :args ((@list @t103 @t4 @t16 @t102))) % 37.52/37.72 (step @p122 :rule refl :args (@t4)) % 37.52/37.72 (step @p123 :rule cong :premises (@p98 @p122) :args (@t104)) % 37.52/37.72 (step @p124 :rule eq-symm :args (@t104 @t105)) % 37.52/37.72 (step @p125 :rule refl :args (@t68)) % 37.52/37.72 (step @p126 :rule cong :premises (@p125 @p124) :args ((=> @t68 @t106))) % 37.52/37.72 (assume-push @p336 @t68) % 37.52/37.72 (step @p128 :rule instantiate :premises (@p67) :args ((@list tptp.z @t3))) % 37.52/37.72 (step-pop @p337 :rule scope :premises (@p128)) % 37.52/37.72 (step @p129 :rule process_scope :premises (@p337) :args (@t106)) % 37.52/37.72 (step @p131 :rule eq_resolve :premises (@p129 @p126)) % 37.52/37.72 (step @p132 :rule implies_elim :premises (@p131)) % 37.52/37.72 (step @p133 :rule chain_m_resolution :premises (@p132 @p67) :args ((= @t105 @t104) @t107 (@list @t68))) % 37.52/37.72 (step @p134 :rule eq-symm :args (@t88 tptp.bfalse)) % 37.52/37.72 (step @p135 :rule cong :premises (@p134) :args (@t89)) % 37.52/37.72 (step @p136 :rule eq_resolve :premises (@p86 @p135)) % 37.52/37.72 (step @p137 :rule instantiate :premises (@p136) :args (@t97)) % 37.52/37.72 (step @p138 :rule trans :premises (@p137 @p133 @p123)) % 37.52/37.72 (step @p139 :rule cnf_or_pos :args (@t114)) % 37.52/37.72 (step @p140 :rule reordering :premises (@p139) :args ((or @t113 @t111 (not @t114)))) % 37.52/37.72 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p121) :args (@t111 (@list false false) (@list @t112 @t114))) % 37.52/37.72 (step @p142 :rule instantiate :premises (@p6) :args ((@list @t109 @t108))) % 37.52/37.72 (step @p143 :rule instantiate :premises (@p7) :args ((@list @t2 @t2))) % 37.52/37.72 (step @p144 :rule instantiate :premises (@p55) :args ((@list @t103 @t16 @t115))) % 37.52/37.72 (step @p145 :rule instantiate :premises (@p64) :args (@t117)) % 37.52/37.72 (step @p146 :rule instantiate :premises (@p4) :args (@t118)) % 37.52/37.72 (step @p147 :rule eq-symm :args (@t119 @t120)) % 37.52/37.72 (step @p148 :rule refl :args (@t23)) % 37.52/37.72 (step @p149 :rule cong :premises (@p148 @p147) :args ((=> @t23 @t121))) % 37.52/37.72 (assume-push @p338 @t23) % 37.52/37.72 (step @p151 :rule instantiate :premises (@p12) :args (@t118)) % 37.52/37.72 (step-pop @p339 :rule scope :premises (@p151)) % 37.52/37.72 (step @p152 :rule process_scope :premises (@p339) :args (@t121)) % 37.52/37.72 (step @p154 :rule eq_resolve :premises (@p152 @p149)) % 37.52/37.72 (step @p155 :rule implies_elim :premises (@p154)) % 37.52/37.72 (step @p156 :rule chain_m_resolution :premises (@p155 @p12) :args (@t122 @t107 (@list @t23))) % 37.52/37.72 (step @p157 :rule eq-symm :args (@t123 @t119)) % 37.52/37.72 (step @p158 :rule refl :args (@t28)) % 37.52/37.72 (step @p159 :rule cong :premises (@p158 @p157) :args ((=> @t28 @t124))) % 37.52/37.72 (assume-push @p340 @t28) % 37.52/37.72 (step @p161 :rule instantiate :premises (@p17) :args (@t125)) % 37.52/37.72 (step-pop @p341 :rule scope :premises (@p161)) % 37.52/37.72 (step @p162 :rule process_scope :premises (@p341) :args (@t124)) % 37.52/37.72 (step @p164 :rule eq_resolve :premises (@p162 @p159)) % 37.52/37.72 (step @p165 :rule implies_elim :premises (@p164)) % 37.52/37.72 (step @p166 :rule chain_m_resolution :premises (@p165 @p17) :args (@t126 @t107 (@list @t28))) % 37.52/37.72 (step @p167 :rule eq-symm :args (@t94 tptp.btrue)) % 37.52/37.72 (step @p168 :rule cong :premises (@p167) :args (@t95)) % 37.52/37.72 (step @p169 :rule cong :premises (@p168) :args (@t96)) % 37.52/37.72 (step @p170 :rule eq_resolve :premises (@p90 @p169)) % 37.52/37.72 (step @p171 :rule instantiate :premises (@p170) :args (@t117)) % 37.52/37.72 (step @p172 :rule eq-symm :args (@t82 tptp.bfalse)) % 37.52/37.72 (step @p173 :rule cong :premises (@p172) :args (@t84)) % 37.52/37.72 (step @p174 :rule eq_resolve :premises (@p72 @p173)) % 37.52/37.72 (step @p175 :rule instantiate :premises (@p174) :args ((@list @t129 @t128 @t127))) % 37.52/37.72 (step @p176 :rule eq-symm :args (@t92 tptp.btrue)) % 37.52/37.72 (step @p177 :rule cong :premises (@p176) :args (@t93)) % 37.52/37.72 (step @p178 :rule eq_resolve :premises (@p89 @p177)) % 37.52/37.72 (step @p179 :rule instantiate :premises (@p178) :args ((@list @t130))) % 37.52/37.72 (step @p180 :rule refl :args (@t133)) % 37.52/37.72 (step @p181 :rule refl :args (@t137)) % 37.52/37.72 (step @p182 :rule bool-double-not-elim :args (@t138)) % 37.52/37.72 (step @p183 :rule refl :args (@t139)) % 37.52/37.72 (step @p184 :rule refl :args (@t140)) % 37.52/37.72 (step @p185 :rule refl :args (@t142)) % 37.52/37.72 (step @p186 :rule refl :args (@t150)) % 37.52/37.72 (step @p187 :rule refl :args (@t153)) % 37.52/37.72 (step @p188 :rule refl :args (@t156)) % 37.52/37.72 (step @p189 :rule refl :args (@t159)) % 37.52/37.72 (step @p190 :rule refl :args (@t160)) % 37.52/37.72 (step @p191 :rule refl :args (@t165)) % 37.52/37.72 (step @p192 :rule refl :args (@t167)) % 37.52/37.72 (step @p193 :rule refl :args (@t171)) % 37.52/37.72 (step @p194 :rule refl :args (@t173)) % 37.52/37.72 (step @p195 :rule refl :args (@t177)) % 37.52/37.72 (step @p196 :rule refl :args (@t180)) % 37.52/37.72 (step @p197 :rule refl :args (@t183)) % 37.52/37.72 (step @p198 :rule refl :args (@t185)) % 37.52/37.72 (step @p199 :rule refl :args (@t189)) % 37.52/37.72 (step @p200 :rule refl :args (@t191)) % 37.52/37.72 (step @p201 :rule refl :args (@t193)) % 37.52/37.72 (step @p202 :rule refl :args (@t196)) % 37.52/37.72 (step @p203 :rule refl :args (@t198)) % 37.52/37.72 (step @p204 :rule refl :args (@t200)) % 37.52/37.72 (step @p205 :rule refl :args (@t202)) % 37.52/37.72 (step @p206 :rule nary_cong :premises (@p205 @p204 @p203 @p202 @p201 @p200 @p199 @p198 @p197 @p196 @p195 @p194 @p193 @p192 @p191 @p190 @p189 @p188 @p187 @p186 @p185 @p184 @p183 @p182 @p181 @p180) :args ((or @t202 @t200 @t198 @t196 @t193 @t191 @t189 @t185 @t183 @t180 @t177 @t173 @t171 @t167 @t165 @t160 @t159 @t156 @t153 @t150 @t142 @t140 @t139 (not @t203) @t137 @t133))) % 37.52/37.72 (assume-push @p342 @t133) % 37.52/37.72 (assume-push @p343 @t132) % 37.52/37.72 (step @p209 :rule evaluate :args ((= false true))) % 37.52/37.72 (step @p210 :rule true_intro :premises (@p179)) % 37.52/37.72 (step @p211 :rule false_intro :premises (@p171)) % 37.52/37.72 (step @p212 :rule symm :premises (@p175)) % 37.52/37.72 (step @p213 :rule symm :premises (@p141)) % 37.52/37.72 (step @p214 :rule refl :args (@t108)) % 37.52/37.72 (step @p215 :rule refl :args (@t109)) % 37.52/37.72 (step @p216 :rule cong :premises (@p215 @p214 @p213) :args (@t157)) % 37.52/37.72 (step @p151 :rule instantiate :premises (@p12) :args (@t118)) % 37.52/37.72 (step @p161 :rule instantiate :premises (@p17) :args (@t125)) % 37.52/37.72 (step @p217 :rule cong :premises (@p91) :args (@t101)) % 37.52/37.72 (step @p218 :rule trans :premises (@p96 @p217)) % 37.52/37.72 (step @p219 :rule cong :premises (@p218) :args (@t101)) % 37.52/37.72 (step @p220 :rule trans :premises (@p47 @p96 @p219)) % 37.52/37.72 (step @p221 :rule cong :premises (@p122 @p220) :args (@t115)) % 37.52/37.72 (step @p222 :rule cong :premises (@p215 @p221) :args (@t151)) % 37.52/37.72 (step @p223 :rule refl :args (@t115)) % 37.52/37.72 (step @p224 :rule symm :premises (@p113)) % 37.52/37.72 (step @p225 :rule trans :premises (@p224 @p98)) % 37.52/37.72 (step @p226 :rule cong :premises (@p225 @p92) :args (@t162)) % 37.52/37.72 (step @p227 :rule cong :premises (@p226 @p223) :args (@t163)) % 37.52/37.72 (step @p228 :rule cong :premises (@p63) :args (@t168)) % 37.52/37.72 (step @p229 :rule trans :premises (@p228 @p63)) % 37.52/37.72 (step @p230 :rule cong :premises (@p122 @p229) :args (@t169)) % 37.52/37.72 (step @p231 :rule symm :premises (@p102)) % 37.52/37.72 (step @p232 :rule refl :args (@t16)) % 37.52/37.72 (step @p233 :rule cong :premises (@p232 @p232 @p231) :args (@t187)) % 37.52/37.72 (step @p234 :rule cong :premises (@p92 @p92) :args (@t174)) % 37.52/37.72 (step @p235 :rule refl :args (tptp.x2)) % 37.52/37.72 (step @p236 :rule cong :premises (@p235 @p63) :args (@t194)) % 37.52/37.72 (step @p237 :rule cong :premises (@p63 @p232) :args (@t204)) % 37.52/37.72 (step @p238 :rule cong :premises (@p237) :args (@t205)) % 37.52/37.72 (step @p239 :rule trans :premises (@p238 @p97 @p236 @p104 @p107 @p234 @p103 @p233 @p109 @p230)) % 37.52/37.72 (step @p240 :rule cong :premises (@p239) :args (@t206)) % 37.52/37.72 (step @p241 :rule symm :premises (@p238)) % 37.52/37.72 (step @p242 :rule cong :premises (@p241) :args (@t144)) % 37.52/37.72 (step @p243 :rule trans :premises (@p242 @p240 @p114 @p227)) % 37.52/37.72 (step @p244 :rule cong :premises (@p243) :args (@t145)) % 37.52/37.72 (step @p245 :rule trans :premises (@p244 @p144 @p222 @p161 @p151 @p142 @p216 @p146)) % 37.52/37.72 (step @p246 :rule symm :premises (@p96)) % 37.52/37.72 (step @p247 :rule refl :args (@t41)) % 37.52/37.72 (step @p248 :rule cong :premises (@p247 @p246) :args (@t178)) % 37.52/37.72 (step @p249 :rule trans :premises (@p106 @p248 @p108 @p143)) % 37.52/37.72 (step @p250 :rule refl :args (@t101)) % 37.52/37.72 (step @p251 :rule cong :premises (@p246 @p250) :args (@t207)) % 37.52/37.72 (step @p252 :rule trans :premises (@p47 @p96)) % 37.52/37.72 (step @p253 :rule cong :premises (@p252 @p252) :args (@t181)) % 37.52/37.72 (step @p254 :rule cong :premises (@p63 @p63) :args (@t204)) % 37.52/37.72 (step @p255 :rule symm :premises (@p237)) % 37.52/37.72 (step @p256 :rule trans :premises (@p255 @p254)) % 37.52/37.72 (step @p257 :rule cong :premises (@p256) :args (@t146)) % 37.52/37.72 (step @p258 :rule trans :premises (@p257 @p105 @p253 @p251)) % 37.52/37.72 (step @p259 :rule cong :premises (@p258) :args (@t147)) % 37.52/37.72 (step @p260 :rule trans :premises (@p259 @p249)) % 37.52/37.72 (step @p261 :rule cong :premises (@p260 @p245) :args (@t148)) % 37.52/37.72 (step @p262 :rule trans :premises (@p145 @p261 @p212)) % 37.52/37.72 (step @p263 :rule refl :args (@t130)) % 37.52/37.72 (step @p264 :rule cong :premises (@p263 @p262) :args (@t131)) % 37.52/37.72 (step @p265 :rule refl :args (tptp.btrue)) % 37.52/37.72 (step @p266 :rule cong :premises (@p265 @p264) :args (@t132)) % 37.52/37.72 (step @p267 :rule trans :premises (@p266 @p211)) % 37.52/37.72 (step @p268 :rule symm :premises (@p267)) % 37.52/37.72 (step @p269 :rule trans :premises (@p268 @p210)) % 37.52/37.72 (step @p270 false :rule eq_resolve :premises (@p269 @p209)) % 37.52/37.72 (step-pop @p344 :rule scope :premises (@p270)) % 37.52/37.72 (step-pop @p345 :rule scope :premises (@p344)) % 37.52/37.72 (step @p271 :rule process_scope :premises (@p345) :args (false)) % 37.52/37.72 (assume-push @p346 @t201) % 37.52/37.72 (assume-push @p347 @t199) % 37.52/37.72 (assume-push @p348 @t197) % 37.52/37.72 (assume-push @p349 @t195) % 37.52/37.72 (assume-push @p350 @t192) % 37.52/37.72 (assume-push @p351 @t190) % 37.52/37.72 (assume-push @p352 @t188) % 37.52/37.72 (assume-push @p353 @t184) % 37.52/37.72 (assume-push @p354 @t182) % 37.52/37.72 (assume-push @p355 @t179) % 37.52/37.72 (assume-push @p356 @t176) % 37.52/37.72 (assume-push @p357 @t172) % 37.52/37.72 (assume-push @p358 @t170) % 37.52/37.72 (assume-push @p359 @t166) % 37.52/37.72 (assume-push @p360 @t164) % 37.52/37.72 (assume-push @p361 @t111) % 37.52/37.72 (assume-push @p362 @t158) % 37.52/37.72 (assume-push @p363 @t155) % 37.52/37.72 (assume-push @p364 @t152) % 37.52/37.72 (assume-push @p365 @t149) % 37.52/37.72 (assume-push @p366 @t141) % 37.52/37.72 (assume-push @p367 @t122) % 37.52/37.72 (assume-push @p368 @t126) % 37.52/37.72 (assume-push @p369 @t203) % 37.52/37.72 (assume-push @p370 @t136) % 37.52/37.72 (assume-push @p371 @t132) % 37.52/37.72 (step @p211 :rule false_intro :premises (@p171)) % 37.52/37.72 (step @p212 :rule symm :premises (@p175)) % 37.52/37.72 (step @p213 :rule symm :premises (@p141)) % 37.52/37.72 (step @p214 :rule refl :args (@t108)) % 37.52/37.72 (step @p215 :rule refl :args (@t109)) % 37.52/37.72 (step @p216 :rule cong :premises (@p215 @p214 @p213) :args (@t157)) % 37.52/37.72 (step @p151 :rule instantiate :premises (@p12) :args (@t118)) % 37.52/37.72 (step @p161 :rule instantiate :premises (@p17) :args (@t125)) % 37.52/37.72 (step @p217 :rule cong :premises (@p91) :args (@t101)) % 37.52/37.72 (step @p218 :rule trans :premises (@p96 @p217)) % 37.52/37.72 (step @p219 :rule cong :premises (@p218) :args (@t101)) % 37.52/37.72 (step @p220 :rule trans :premises (@p47 @p96 @p219)) % 37.52/37.72 (step @p221 :rule cong :premises (@p122 @p220) :args (@t115)) % 37.52/37.72 (step @p222 :rule cong :premises (@p215 @p221) :args (@t151)) % 37.52/37.72 (step @p223 :rule refl :args (@t115)) % 37.52/37.72 (step @p224 :rule symm :premises (@p113)) % 37.52/37.72 (step @p225 :rule trans :premises (@p224 @p98)) % 37.52/37.72 (step @p226 :rule cong :premises (@p225 @p92) :args (@t162)) % 37.52/37.72 (step @p227 :rule cong :premises (@p226 @p223) :args (@t163)) % 37.52/37.72 (step @p228 :rule cong :premises (@p63) :args (@t168)) % 37.52/37.72 (step @p229 :rule trans :premises (@p228 @p63)) % 37.52/37.72 (step @p230 :rule cong :premises (@p122 @p229) :args (@t169)) % 37.52/37.72 (step @p231 :rule symm :premises (@p102)) % 37.52/37.72 (step @p232 :rule refl :args (@t16)) % 37.52/37.72 (step @p233 :rule cong :premises (@p232 @p232 @p231) :args (@t187)) % 37.52/37.72 (step @p234 :rule cong :premises (@p92 @p92) :args (@t174)) % 37.52/37.72 (step @p235 :rule refl :args (tptp.x2)) % 37.52/37.72 (step @p236 :rule cong :premises (@p235 @p63) :args (@t194)) % 37.52/37.72 (step @p237 :rule cong :premises (@p63 @p232) :args (@t204)) % 37.52/37.72 (step @p238 :rule cong :premises (@p237) :args (@t205)) % 37.52/37.72 (step @p239 :rule trans :premises (@p238 @p97 @p236 @p104 @p107 @p234 @p103 @p233 @p109 @p230)) % 37.52/37.72 (step @p240 :rule cong :premises (@p239) :args (@t206)) % 37.52/37.72 (step @p241 :rule symm :premises (@p238)) % 37.52/37.72 (step @p242 :rule cong :premises (@p241) :args (@t144)) % 37.52/37.72 (step @p243 :rule trans :premises (@p242 @p240 @p114 @p227)) % 37.52/37.72 (step @p244 :rule cong :premises (@p243) :args (@t145)) % 37.52/37.72 (step @p245 :rule trans :premises (@p244 @p144 @p222 @p161 @p151 @p142 @p216 @p146)) % 37.52/37.72 (step @p246 :rule symm :premises (@p96)) % 37.52/37.72 (step @p247 :rule refl :args (@t41)) % 37.52/37.72 (step @p248 :rule cong :premises (@p247 @p246) :args (@t178)) % 37.52/37.72 (step @p249 :rule trans :premises (@p106 @p248 @p108 @p143)) % 37.52/37.72 (step @p250 :rule refl :args (@t101)) % 37.52/37.72 (step @p251 :rule cong :premises (@p246 @p250) :args (@t207)) % 37.52/37.72 (step @p252 :rule trans :premises (@p47 @p96)) % 37.52/37.72 (step @p253 :rule cong :premises (@p252 @p252) :args (@t181)) % 37.52/37.72 (step @p254 :rule cong :premises (@p63 @p63) :args (@t204)) % 37.52/37.72 (step @p255 :rule symm :premises (@p237)) % 37.52/37.72 (step @p256 :rule trans :premises (@p255 @p254)) % 37.52/37.72 (step @p257 :rule cong :premises (@p256) :args (@t146)) % 37.52/37.72 (step @p258 :rule trans :premises (@p257 @p105 @p253 @p251)) % 37.52/37.72 (step @p259 :rule cong :premises (@p258) :args (@t147)) % 37.52/37.72 (step @p260 :rule trans :premises (@p259 @p249)) % 37.52/37.72 (step @p261 :rule cong :premises (@p260 @p245) :args (@t148)) % 37.52/37.72 (step @p262 :rule trans :premises (@p145 @p261 @p212)) % 37.52/37.72 (step @p263 :rule refl :args (@t130)) % 37.52/37.72 (step @p264 :rule cong :premises (@p263 @p262) :args (@t131)) % 37.52/37.72 (step @p265 :rule refl :args (tptp.btrue)) % 37.52/37.72 (step @p266 :rule cong :premises (@p265 @p264) :args (@t132)) % 37.52/37.72 (step @p300 :rule trans :premises (@p266 @p211)) % 37.52/37.72 (step @p301 :rule false_elim :premises (@p300)) % 37.52/37.72 (step @p302 :rule and_intro :premises (@p301 @p179)) % 37.52/37.72 (step-pop @p372 :rule scope :premises (@p302)) % 37.52/37.72 (step-pop @p373 :rule scope :premises (@p372)) % 37.52/37.72 (step-pop @p374 :rule scope :premises (@p373)) % 37.52/37.72 (step-pop @p375 :rule scope :premises (@p374)) % 37.52/37.72 (step-pop @p376 :rule scope :premises (@p375)) % 37.52/37.72 (step-pop @p377 :rule scope :premises (@p376)) % 37.52/37.72 (step-pop @p378 :rule scope :premises (@p377)) % 37.52/37.72 (step-pop @p379 :rule scope :premises (@p378)) % 37.52/37.72 (step-pop @p380 :rule scope :premises (@p379)) % 37.52/37.72 (step-pop @p381 :rule scope :premises (@p380)) % 37.52/37.72 (step-pop @p382 :rule scope :premises (@p381)) % 37.52/37.72 (step-pop @p383 :rule scope :premises (@p382)) % 37.52/37.72 (step-pop @p384 :rule scope :premises (@p383)) % 37.52/37.72 (step-pop @p385 :rule scope :premises (@p384)) % 37.52/37.72 (step-pop @p386 :rule scope :premises (@p385)) % 37.52/37.72 (step-pop @p387 :rule scope :premises (@p386)) % 37.52/37.72 (step-pop @p388 :rule scope :premises (@p387)) % 37.52/37.72 (step-pop @p389 :rule scope :premises (@p388)) % 37.52/37.72 (step-pop @p390 :rule scope :premises (@p389)) % 37.52/37.72 (step-pop @p391 :rule scope :premises (@p390)) % 37.52/37.72 (step-pop @p392 :rule scope :premises (@p391)) % 37.52/37.72 (step-pop @p393 :rule scope :premises (@p392)) % 37.52/37.72 (step-pop @p394 :rule scope :premises (@p393)) % 37.52/37.72 (step-pop @p395 :rule scope :premises (@p394)) % 37.52/37.72 (step-pop @p396 :rule scope :premises (@p395)) % 37.52/37.72 (step-pop @p397 :rule scope :premises (@p396)) % 37.52/37.72 (step @p303 :rule process_scope :premises (@p397) :args (@t208)) % 37.52/37.72 (step @p330 :rule implies_elim :premises (@p303)) % 37.52/37.72 (step @p331 :rule resolution :premises (@p330 @p271) :args (true @t208)) % 37.52/37.72 (step @p332 :rule not_and :premises (@p331)) % 37.52/37.72 (step @p333 :rule eq_resolve :premises (@p332 @p206)) % 37.52/37.72 (step @p334 :rule reordering :premises (@p333) :args ((or @t202 @t200 @t198 @t191 @t196 @t193 @t189 @t185 @t183 @t180 @t177 @t173 @t171 @t167 @t165 @t160 @t159 @t156 @t153 @t150 @t138 @t142 @t140 @t139 @t137 @t133))) % 37.52/37.72 (step @p335 false :rule chain_m_resolution :premises (@p334 @p179 @p175 @p171 @p166 @p156 @p146 @p145 @p144 @p143 @p142 @p141 @p114 @p113 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p98 @p97 @p96 @p92 @p91) :args (false (@list false false true false false false false false false false false false false false false false false false false false false false false false false false) (@list @t132 @t136 @t138 @t126 @t122 @t141 @t149 @t152 @t155 @t158 @t111 @t164 @t166 @t170 @t172 @t176 @t179 @t182 @t184 @t188 @t190 @t192 @t195 @t197 @t199 @t201))) % 37.52/37.72 ) % 37.52/37.73 % SZS output end Proof % 37.52/37.73 % cvc5 exiting %------------------------------------------------------------------------------