%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP682-11 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:21:17 AM UTC 2026 % Result : Unsatisfiable 159.99s 160.29s % Output : Proof 160.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GRP682-11 : TPTP v9.2.1. Released v8.1.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.33 % Computer : n020.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Tue Jun 2 01:50:40 EDT 2026 % 0.14/0.33 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.52/15.73 --- Run --no-e-matching --full-saturate-quant at 6... % 21.53/21.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.53/27.79 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.74/33.90 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.09/64.34 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.48/79.74 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.80/113.12 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 128.10/128.30 --- Run --prenex-quant=none --full-saturate-quant at 30... % 158.39/158.66 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 159.99/160.29 % SZS status Unsatisfiable % 159.99/160.29 % SZS output start Proof % 160.09/160.30 ( % 160.09/160.30 (declare-sort $$unsorted 0) % 160.09/160.30 (declare-const tptp.x1 $$unsorted) % 160.09/160.30 (declare-const tptp.x0 $$unsorted) % 160.09/160.30 (declare-const tptp.x2 $$unsorted) % 160.09/160.30 (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted)) % 160.09/160.30 (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted)) % 160.09/160.30 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 160.09/160.30 (define @t1 () (@var "A" $$unsorted)) % 160.09/160.30 (define @t2 () (tptp.mult @t1 @t1)) % 160.09/160.30 (define @t3 () (tptp.ld @t1 @t2)) % 160.09/160.30 (define @t4 () (@list @t1)) % 160.09/160.30 (define @t5 () (forall @t4 (= @t3 @t1))) % 160.09/160.30 (define @t6 () (tptp.rd @t2 @t1)) % 160.09/160.30 (define @t7 () (forall @t4 (= @t6 @t1))) % 160.09/160.30 (define @t8 () (@var "B" $$unsorted)) % 160.09/160.30 (define @t9 () (tptp.mult @t1 @t8)) % 160.09/160.30 (define @t10 () (tptp.ld @t1 @t8)) % 160.09/160.30 (define @t11 () (@list @t1 @t8)) % 160.09/160.30 (define @t12 () (forall @t11 (= (tptp.mult @t1 @t10) (tptp.ld @t1 @t9)))) % 160.09/160.30 (define @t13 () (forall @t11 (= (tptp.mult (tptp.rd @t1 @t8) @t8) (tptp.rd @t9 @t8)))) % 160.09/160.30 (define @t14 () (@var "D" $$unsorted)) % 160.09/160.30 (define @t15 () (@var "C" $$unsorted)) % 160.09/160.30 (define @t16 () (@list @t1 @t8 @t15 @t14)) % 160.09/160.30 (define @t17 () (forall @t16 (= (tptp.ld @t10 (tptp.mult @t10 (tptp.mult @t15 @t14))) (tptp.mult (tptp.ld @t1 (tptp.mult @t1 @t15)) @t14)))) % 160.09/160.30 (define @t18 () (tptp.rd @t15 @t14)) % 160.09/160.30 (define @t19 () (forall @t16 (= (tptp.rd (tptp.mult @t9 @t18) @t18) (tptp.mult @t1 (tptp.rd (tptp.mult @t8 @t14) @t14))))) % 160.09/160.30 (define @t20 () (tptp.rd tptp.x0 tptp.x1)) % 160.09/160.30 (define @t21 () (tptp.rd tptp.x2 tptp.x2)) % 160.09/160.30 (define @t22 () (tptp.mult @t21 tptp.x2)) % 160.09/160.30 (define @t23 () (tptp.mult tptp.x0 @t20)) % 160.09/160.30 (define @t24 () (tptp.ld tptp.x0 @t23)) % 160.09/160.30 (define @t25 () (tptp.mult @t24 @t22)) % 160.09/160.30 (define @t26 () (tptp.ld @t24 @t25)) % 160.09/160.30 (define @t27 () (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.x0 @t21)) tptp.x2)) % 160.09/160.30 (define @t28 () (= @t27 @t26)) % 160.09/160.30 (define @t29 () (= @t26 @t27)) % 160.09/160.30 (define @t30 () (@list tptp.x0)) % 160.09/160.30 (define @t31 () (@list tptp.x0 tptp.x0)) % 160.09/160.30 (define @t32 () (tptp.rd tptp.x0 tptp.x0)) % 160.09/160.30 (define @t33 () (tptp.mult @t32 tptp.x0)) % 160.09/160.30 (define @t34 () (tptp.rd @t33 tptp.x0)) % 160.09/160.30 (define @t35 () (tptp.ld tptp.x0 tptp.x0)) % 160.09/160.30 (define @t36 () (tptp.mult tptp.x0 @t35)) % 160.09/160.30 (define @t37 () (tptp.mult tptp.x0 tptp.x0)) % 160.09/160.30 (define @t38 () (tptp.ld tptp.x0 @t37)) % 160.09/160.30 (define @t39 () (= @t36 @t38)) % 160.09/160.30 (define @t40 () (@list false)) % 160.09/160.30 (define @t41 () (@list @t12)) % 160.09/160.30 (define @t42 () (tptp.mult tptp.x0 @t32)) % 160.09/160.30 (define @t43 () (tptp.ld tptp.x0 @t42)) % 160.09/160.30 (define @t44 () (tptp.mult @t37 @t32)) % 160.09/160.30 (define @t45 () (tptp.ld tptp.x0 @t35)) % 160.09/160.30 (define @t46 () (tptp.mult tptp.x0 @t45)) % 160.09/160.30 (define @t47 () (tptp.mult tptp.x0 @t37)) % 160.09/160.30 (define @t48 () (tptp.ld tptp.x0 @t47)) % 160.09/160.30 (define @t49 () (tptp.mult @t48 @t46)) % 160.09/160.30 (define @t50 () (tptp.ld tptp.x0 @t36)) % 160.09/160.30 (define @t51 () (= @t46 @t50)) % 160.09/160.30 (define @t52 () (tptp.mult @t37 @t35)) % 160.09/160.30 (define @t53 () (tptp.ld @t37 @t52)) % 160.09/160.30 (define @t54 () (tptp.mult @t53 @t36)) % 160.09/160.30 (define @t55 () (tptp.mult @t37 @t52)) % 160.09/160.30 (define @t56 () (tptp.mult @t44 tptp.x0)) % 160.09/160.30 (define @t57 () (tptp.ld @t44 @t56)) % 160.09/160.30 (define @t58 () (tptp.mult @t57 @t22)) % 160.09/160.30 (define @t59 () (tptp.rd @t32 tptp.x0)) % 160.09/160.30 (define @t60 () (tptp.rd @t37 tptp.x0)) % 160.09/160.30 (define @t61 () (tptp.mult @t37 tptp.x0)) % 160.09/160.30 (define @t62 () (tptp.mult @t59 tptp.x0)) % 160.09/160.30 (define @t63 () (= @t62 @t34)) % 160.09/160.30 (define @t64 () (@list @t13)) % 160.09/160.30 (define @t65 () (tptp.mult @t35 @t37)) % 160.09/160.30 (define @t66 () (tptp.mult @t32 @t37)) % 160.09/160.30 (define @t67 () (@list tptp.x0 tptp.x0 tptp.x0 tptp.x0)) % 160.09/160.30 (define @t68 () (tptp.rd @t37 @t32)) % 160.09/160.30 (define @t69 () (tptp.mult @t35 @t33)) % 160.09/160.30 (define @t70 () (tptp.ld @t35 @t69)) % 160.09/160.30 (define @t71 () (tptp.mult @t70 (tptp.mult @t68 @t32))) % 160.09/160.30 (define @t72 () (tptp.ld @t35 (tptp.mult @t35 @t68))) % 160.09/160.30 (define @t73 () (tptp.rd @t61 tptp.x0)) % 160.09/160.30 (define @t74 () (tptp.rd (tptp.mult @t62 @t73) @t73)) % 160.09/160.30 (define @t75 () (tptp.mult @t32 @t32)) % 160.09/160.30 (define @t76 () (tptp.mult @t46 @t32)) % 160.09/160.30 (define @t77 () (tptp.rd @t76 @t32)) % 160.09/160.30 (define @t78 () (tptp.rd @t75 @t32)) % 160.09/160.30 (define @t79 () (tptp.mult @t44 @t32)) % 160.09/160.30 (define @t80 () (tptp.mult @t33 @t32)) % 160.09/160.30 (define @t81 () (tptp.rd @t80 @t32)) % 160.09/160.30 (define @t82 () (tptp.mult @t46 @t81)) % 160.09/160.30 (define @t83 () (tptp.rd (tptp.mult @t45 @t32) @t32)) % 160.09/160.30 (define @t84 () (tptp.mult @t35 @t32)) % 160.09/160.30 (define @t85 () (tptp.ld @t35 @t84)) % 160.09/160.30 (define @t86 () (@list @t35 @t32)) % 160.09/160.30 (define @t87 () (tptp.ld @t35 @t32)) % 160.09/160.30 (define @t88 () (tptp.mult (tptp.mult @t35 @t87) @t60)) % 160.09/160.30 (define @t89 () (tptp.ld @t32 @t32)) % 160.09/160.30 (define @t90 () (tptp.mult @t32 @t89)) % 160.09/160.30 (define @t91 () (tptp.rd @t35 @t35)) % 160.09/160.30 (define @t92 () (tptp.rd @t35 @t32)) % 160.09/160.30 (define @t93 () (tptp.mult @t92 @t32)) % 160.09/160.30 (define @t94 () (tptp.rd @t84 @t32)) % 160.09/160.30 (define @t95 () (= @t93 @t94)) % 160.09/160.30 (define @t96 () (tptp.mult tptp.x0 (tptp.rd (tptp.mult @t45 tptp.x0) tptp.x0))) % 160.09/160.30 (define @t97 () (= @t77 @t96)) % 160.09/160.30 (define @t98 () (@list @t19)) % 160.09/160.30 (define @t99 () (tptp.mult @t91 tptp.x0)) % 160.09/160.30 (define @t100 () (tptp.rd @t79 @t32)) % 160.09/160.30 (define @t101 () (tptp.mult @t72 @t32)) % 160.09/160.30 (define @t102 () (@list @t37)) % 160.09/160.30 (define @t103 () (@list @t37 @t37)) % 160.09/160.30 (define @t104 () (tptp.rd @t37 @t37)) % 160.09/160.30 (define @t105 () (tptp.mult @t104 @t37)) % 160.09/160.30 (define @t106 () (tptp.ld @t37 @t37)) % 160.09/160.30 (define @t107 () (tptp.mult @t84 @t106)) % 160.09/160.30 (define @t108 () (tptp.rd @t47 @t37)) % 160.09/160.30 (define @t109 () (tptp.mult @t59 @t108)) % 160.09/160.30 (define @t110 () (tptp.mult @t66 @t37)) % 160.09/160.30 (define @t111 () (tptp.rd @t66 @t37)) % 160.09/160.30 (define @t112 () (tptp.mult @t35 @t65)) % 160.09/160.30 (define @t113 () (tptp.mult @t32 @t65)) % 160.09/160.30 (define @t114 () (tptp.rd @t113 @t65)) % 160.09/160.30 (define @t115 () (tptp.rd @t110 @t37)) % 160.09/160.30 (define @t116 () (tptp.rd (tptp.mult @t62 @t115) @t115)) % 160.09/160.30 (define @t117 () (= @t116 @t109)) % 160.09/160.30 (define @t118 () (tptp.mult @t32 @t112)) % 160.09/160.30 (define @t119 () (tptp.mult tptp.x0 (tptp.ld @t112 @t112))) % 160.09/160.30 (define @t120 () (tptp.ld tptp.x0 @t119)) % 160.09/160.30 (define @t121 () (tptp.mult @t120 @t93)) % 160.09/160.30 (define @t122 () (tptp.ld @t35 @t37)) % 160.09/160.30 (define @t123 () (tptp.mult @t35 @t122)) % 160.09/160.30 (define @t124 () (tptp.mult @t123 @t111)) % 160.09/160.30 (define @t125 () (tptp.rd tptp.x1 tptp.x0)) % 160.09/160.30 (define @t126 () (tptp.mult @t37 @t125)) % 160.09/160.30 (define @t127 () (tptp.rd @t126 @t125)) % 160.09/160.30 (define @t128 () (tptp.ld @t35 @t122)) % 160.09/160.30 (define @t129 () (tptp.mult (tptp.mult @t35 @t128) @t127)) % 160.09/160.30 (define @t130 () (tptp.rd (tptp.mult @t128 @t125) @t125)) % 160.09/160.30 (define @t131 () (tptp.mult @t35 @t130)) % 160.09/160.30 (define @t132 () (tptp.mult @t35 @t131)) % 160.09/160.30 (define @t133 () (tptp.mult @t122 @t105)) % 160.09/160.30 (define @t134 () (tptp.mult @t70 @t101)) % 160.09/160.30 (define @t135 () (tptp.ld @t70 @t134)) % 160.09/160.30 (define @t136 () (tptp.mult @t37 @t106)) % 160.09/160.30 (define @t137 () (tptp.mult @t37 @t21)) % 160.09/160.30 (define @t138 () (tptp.ld @t37 @t137)) % 160.09/160.30 (define @t139 () (tptp.mult @t120 @t22)) % 160.09/160.30 (define @t140 () (@list @t20)) % 160.09/160.30 (define @t141 () (tptp.ld @t20 @t20)) % 160.09/160.30 (define @t142 () (tptp.mult @t20 @t141)) % 160.09/160.30 (define @t143 () (tptp.mult @t142 @t20)) % 160.09/160.30 (define @t144 () (tptp.mult tptp.x1 tptp.x1)) % 160.09/160.30 (define @t145 () (tptp.rd tptp.x1 tptp.x1)) % 160.09/160.30 (define @t146 () (tptp.rd @t144 tptp.x1)) % 160.09/160.30 (define @t147 () (tptp.mult @t20 tptp.x1)) % 160.09/160.30 (define @t148 () (tptp.mult @t33 @t146)) % 160.09/160.30 (define @t149 () (tptp.rd (tptp.mult tptp.x0 tptp.x1) tptp.x1)) % 160.09/160.30 (define @t150 () (tptp.mult @t70 @t147)) % 160.09/160.30 (define @t151 () (tptp.ld @t35 (tptp.mult @t35 @t20))) % 160.09/160.30 (define @t152 () (tptp.mult @t145 tptp.x1)) % 160.09/160.30 (define @t153 () (tptp.mult @t152 @t145)) % 160.09/160.30 (define @t154 () (tptp.rd @t153 @t145)) % 160.09/160.30 (define @t155 () (tptp.mult (tptp.mult @t35 (tptp.ld @t35 @t20)) @t154)) % 160.09/160.30 (define @t156 () (tptp.ld @t37 @t61)) % 160.09/160.30 (define @t157 () (tptp.mult @t156 @t147)) % 160.09/160.30 (define @t158 () (tptp.mult @t37 @t20)) % 160.09/160.30 (define @t159 () (tptp.ld @t37 @t158)) % 160.09/160.30 (define @t160 () (tptp.ld @t37 @t20)) % 160.09/160.30 (define @t161 () (tptp.mult (tptp.mult @t37 @t160) @t154)) % 160.09/160.30 (define @t162 () (tptp.rd (tptp.mult @t160 @t145) @t145)) % 160.09/160.30 (define @t163 () (tptp.rd (tptp.mult @t142 @t146) @t146)) % 160.09/160.30 (define @t164 () (tptp.mult @t20 (tptp.rd (tptp.mult @t141 tptp.x1) tptp.x1))) % 160.09/160.30 (define @t165 () (= @t163 @t164)) % 160.09/160.30 (define @t166 () (tptp.mult @t44 @t35)) % 160.09/160.30 (define @t167 () (tptp.rd @t44 @t44)) % 160.09/160.30 (define @t168 () (tptp.mult @t167 tptp.x0)) % 160.09/160.30 (define @t169 () (tptp.mult @t168 @t81)) % 160.09/160.30 (define @t170 () (= @t33 @t60)) % 160.09/160.30 (define @t171 () (tptp.mult @t120 @t168)) % 160.09/160.30 (define @t172 () (tptp.ld tptp.x0 @t45)) % 160.09/160.30 (define @t173 () (tptp.mult @t172 @t168)) % 160.09/160.30 (define @t174 () (tptp.ld @t172 @t173)) % 160.09/160.30 (define @t175 () (tptp.mult @t174 @t142)) % 160.09/160.30 (define @t176 () (tptp.mult @t172 @t105)) % 160.09/160.30 (define @t177 () (tptp.ld @t172 @t176)) % 160.09/160.30 (define @t178 () (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.x0 @t104)) @t37)) % 160.09/160.30 (define @t179 () (= @t177 @t178)) % 160.09/160.30 (define @t180 () (@list @t17)) % 160.09/160.30 (define @t181 () (tptp.ld @t35 @t65)) % 160.09/160.30 (define @t182 () (tptp.mult (tptp.ld @t35 (tptp.mult @t35 @t72)) @t32)) % 160.09/160.30 (define @t183 () (= @t135 @t182)) % 160.09/160.30 (define @t184 () (tptp.ld @t35 @t112)) % 160.09/160.30 (define @t185 () (tptp.mult @t184 @t20)) % 160.09/160.30 (define @t186 () (tptp.ld @t177 (tptp.mult @t177 @t142))) % 160.09/160.30 (define @t187 () (tptp.mult (tptp.ld @t172 (tptp.mult @t172 @t20)) @t141)) % 160.09/160.30 (define @t188 () (= @t186 @t187)) % 160.09/160.30 (assume @p1 @t5) % 160.09/160.30 (assume @p2 @t7) % 160.09/160.30 (assume @p3 @t12) % 160.09/160.30 (assume @p4 @t13) % 160.09/160.30 (assume @p5 @t17) % 160.09/160.30 (assume @p6 @t19) % 160.09/160.30 (assume @p7 (forall @t11 (= (tptp.ld @t1 (tptp.mult @t1 (tptp.ld @t8 @t8))) (tptp.rd (tptp.mult (tptp.rd @t1 @t1) @t8) @t8)))) % 160.09/160.30 (assume @p8 (not (= (tptp.ld @t20 (tptp.mult @t20 tptp.x2)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x2))))) % 160.09/160.30 (step @p9 :rule bool-eq-false :args (@t28)) % 160.09/160.30 (step @p10 :rule symm :premises (@p9)) % 160.09/160.30 (step @p11 :rule eq-symm :args (@t26 @t27)) % 160.09/160.30 (step @p12 :rule cong :premises (@p11) :args ((not @t29))) % 160.09/160.30 (step @p13 :rule bool-eq-false :args (@t29)) % 160.09/160.30 (step @p14 :rule trans :premises (@p13 @p12)) % 160.09/160.30 (step @p15 :rule trans :premises (@p14 @p10)) % 160.09/160.30 (step @p16 :rule false_intro :premises (@p8)) % 160.09/160.30 (step @p17 :rule eq-symm :args (@t6 @t1)) % 160.09/160.30 (step @p18 :rule cong :premises (@p17) :args (@t7)) % 160.09/160.30 (step @p19 :rule eq_resolve :premises (@p2 @p18)) % 160.09/160.30 (step @p20 :rule instantiate :premises (@p19) :args ((@list tptp.x2))) % 160.09/160.30 (step @p21 :rule symm :premises (@p20)) % 160.09/160.30 (step @p22 :rule instantiate :premises (@p4) :args ((@list tptp.x2 tptp.x2))) % 160.09/160.30 (step @p23 :rule trans :premises (@p22 @p21)) % 160.09/160.30 (step @p24 :rule instantiate :premises (@p19) :args (@t30)) % 160.09/160.30 (step @p25 :rule symm :premises (@p24)) % 160.09/160.30 (step @p26 :rule instantiate :premises (@p4) :args (@t31)) % 160.09/160.30 (step @p27 :rule refl :args (tptp.x0)) % 160.09/160.30 (step @p28 :rule trans :premises (@p26 @p25)) % 160.09/160.30 (step @p29 :rule cong :premises (@p28 @p27) :args (@t34)) % 160.09/160.30 (step @p30 :rule instantiate :premises (@p7) :args (@t31)) % 160.09/160.30 (step @p31 :rule eq-symm :args (@t36 @t38)) % 160.09/160.30 (step @p32 :rule refl :args (@t12)) % 160.09/160.30 (step @p33 :rule cong :premises (@p32 @p31) :args ((=> @t12 @t39))) % 160.09/160.30 (assume-push @p612 @t12) % 160.09/160.30 (step @p35 :rule instantiate :premises (@p3) :args (@t31)) % 160.09/160.30 (step-pop @p613 :rule scope :premises (@p35)) % 160.09/160.30 (step @p36 :rule process_scope :premises (@p613) :args (@t39)) % 160.09/160.30 (step @p38 :rule eq_resolve :premises (@p36 @p33)) % 160.09/160.30 (step @p39 :rule implies_elim :premises (@p38)) % 160.09/160.30 (step @p40 :rule chain_m_resolution :premises (@p39 @p3) :args ((= @t38 @t36) @t40 @t41)) % 160.09/160.30 (step @p41 :rule eq-symm :args (@t3 @t1)) % 160.09/160.30 (step @p42 :rule cong :premises (@p41) :args (@t5)) % 160.09/160.30 (step @p43 :rule eq_resolve :premises (@p1 @p42)) % 160.09/160.30 (step @p44 :rule instantiate :premises (@p43) :args (@t30)) % 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cong :premises (@p454 @p174) :args ((tptp.mult @t156 @t83))) % 160.09/160.30 (step @p489 :rule instantiate :premises (@p5) :args ((@list @t37 @t55 tptp.x0 @t83))) % 160.09/160.30 (step @p490 :rule trans :premises (@p134 @p133)) % 160.09/160.30 (step @p491 :rule cong :premises (@p490 @p155) :args ((tptp.mult (tptp.rd @t44 @t32) @t32))) % 160.09/160.30 (step @p492 :rule instantiate :premises (@p4) :args ((@list @t44 @t32))) % 160.09/160.30 (step @p493 :rule symm :premises (@p492)) % 160.09/160.30 (step @p494 :rule trans :premises (@p493 @p491)) % 160.09/160.30 (step @p495 :rule trans :premises (@p494 @p99)) % 160.09/160.30 (step @p496 :rule cong :premises (@p495 @p178) :args ((tptp.mult @t100 @t32))) % 160.09/160.30 (step @p497 :rule symm :premises (@p494)) % 160.09/160.30 (step @p498 :rule cong :premises (@p497 @p47) :args (@t166)) % 160.09/160.30 (step @p499 :rule trans :premises (@p498 @p496)) % 160.09/160.30 (step @p500 :rule cong :premises (@p99 @p499) :args ((tptp.ld @t44 @t166))) % 160.09/160.30 (step @p501 :rule instantiate :premises (@p7) :args ((@list @t44 tptp.x0))) % 160.09/160.30 (step @p502 :rule symm :premises (@p501)) % 160.09/160.30 (step @p503 :rule trans :premises (@p502 @p500 @p489 @p488 @p173 @p171 @p85 @p84 @p61)) % 160.09/160.30 (step @p504 :rule trans :premises (@p503 @p47)) % 160.09/160.30 (step @p505 :rule cong :premises (@p504 @p27) :args ((tptp.mult (tptp.rd @t168 tptp.x0) tptp.x0))) % 160.09/160.30 (step @p506 :rule instantiate :premises (@p4) :args ((@list @t168 tptp.x0))) % 160.09/160.30 (step @p507 :rule symm :premises (@p506)) % 160.09/160.30 (step @p508 :rule refl :args (@t168)) % 160.09/160.30 (step @p509 :rule cong :premises (@p508 @p168) :args (@t169)) % 160.09/160.30 (step @p510 :rule cong :premises (@p509 @p168) :args ((tptp.rd @t169 @t81))) % 160.09/160.30 (step @p511 :rule instantiate :premises (@p6) :args ((@list @t167 tptp.x0 @t80 @t32))) % 160.09/160.30 (step @p512 :rule symm :premises (@p511)) % 160.09/160.30 (step @p513 :rule symm :premises (@p51)) % 160.09/160.30 (step @p514 :rule cong :premises (@p28 @p49) :args (@t80)) % 160.09/160.30 (step @p515 :rule trans :premises (@p514 @p35 @p48)) % 160.09/160.30 (step @p516 :rule trans :premises (@p515 @p513)) % 160.09/160.30 (step @p517 :rule cong :premises (@p516 @p155) :args (@t81)) % 160.09/160.30 (step @p518 :rule symm :premises (@p167)) % 160.09/160.30 (step @p519 :rule symm :premises (@p166)) % 160.09/160.30 (step @p520 :rule eq-symm :args (@t33 @t60)) % 160.09/160.30 (step @p521 :rule cong :premises (@p118 @p520) :args ((=> @t13 @t170))) % 160.09/160.30 (assume-push @p626 @t13) % 160.09/160.30 (step-pop @p627 :rule scope :premises (@p26)) % 160.09/160.30 (step @p523 :rule process_scope :premises (@p627) :args (@t170)) % 160.09/160.30 (step @p525 :rule eq_resolve :premises (@p523 @p521)) % 160.09/160.30 (step @p526 :rule implies_elim :premises (@p525)) % 160.09/160.30 (step @p527 :rule chain_m_resolution :premises (@p526 @p4) :args ((= @t60 @t33) @t40 @t64)) % 160.09/160.30 (step @p528 :rule trans :premises (@p24 @p527 @p519 @p518 @p517)) % 160.09/160.30 (step @p529 :rule refl :args (@t167)) % 160.09/160.30 (step @p530 :rule cong :premises (@p529 @p528) :args (@t168)) % 160.09/160.30 (step @p531 :rule trans :premises (@p530 @p512 @p510 @p507 @p505 @p26 @p25)) % 160.09/160.30 (step @p532 :rule cong :premises (@p307 @p531) :args (@t171)) % 160.09/160.30 (step @p533 :rule trans :premises (@p532 @p57)) % 160.09/160.30 (step @p534 :rule cong :premises (@p304 @p533) :args ((tptp.ld @t120 @t171))) % 160.09/160.30 (step @p535 :rule instantiate :premises (@p5) :args ((@list tptp.x0 @t119 @t167 tptp.x0))) % 160.09/160.30 (step @p536 :rule symm :premises (@p535)) % 160.09/160.30 (step @p537 :rule instantiate :premises (@p5) :args ((@list tptp.x0 @t45 @t167 tptp.x0))) % 160.09/160.30 (step @p538 :rule trans :premises (@p537 @p536 @p534 @p55 @p54 @p26 @p25)) % 160.09/160.30 (step @p539 :rule cong :premises (@p538 @p405) :args (@t175)) % 160.09/160.30 (step @p540 :rule cong :premises (@p538 @p539) :args ((tptp.ld @t174 @t175))) % 160.09/160.30 (step @p541 :rule instantiate :premises (@p5) :args ((@list @t172 @t173 @t20 @t141))) % 160.09/160.30 (step @p542 :rule symm :premises (@p541)) % 160.09/160.30 (step @p543 :rule instantiate :premises (@p5) :args ((@list @t172 @t176 @t20 @t141))) % 160.09/160.30 (step @p544 :rule eq-symm :args (@t177 @t178)) % 160.09/160.30 (step @p545 :rule refl :args (@t17)) % 160.09/160.30 (step @p546 :rule cong :premises (@p545 @p544) :args ((=> @t17 @t179))) % 160.09/160.30 (assume-push @p628 @t17) % 160.09/160.30 (step @p548 :rule instantiate :premises (@p5) :args ((@list tptp.x0 @t45 @t104 @t37))) % 160.09/160.30 (step-pop @p629 :rule scope :premises (@p548)) % 160.09/160.30 (step @p549 :rule process_scope :premises (@p629) :args (@t179)) % 160.09/160.30 (step @p551 :rule eq_resolve :premises (@p549 @p546)) % 160.09/160.30 (step @p552 :rule implies_elim :premises (@p551)) % 160.09/160.30 (step @p553 :rule chain_m_resolution :premises (@p552 @p5) :args ((= @t178 @t177) @t40 @t180)) % 160.09/160.30 (step @p554 :rule instantiate :premises (@p5) :args ((@list tptp.x0 @t119 @t104 @t37))) % 160.09/160.30 (step @p555 :rule symm :premises (@p242)) % 160.09/160.30 (step @p556 :rule cong :premises (@p310 @p555) :args (@t65)) % 160.09/160.30 (step @p557 :rule cong :premises (@p310 @p556) :args (@t181)) % 160.09/160.30 (step @p558 :rule symm :premises (@p325)) % 160.09/160.30 (step @p559 :rule symm :premises (@p324)) % 160.09/160.30 (step @p560 :rule trans :premises (@p559 @p558 @p557 @p554 @p553)) % 160.09/160.30 (step @p561 :rule cong :premises (@p560 @p418) :args (@t158)) % 160.09/160.30 (step @p562 :rule cong :premises (@p560 @p561) :args (@t159)) % 160.09/160.30 (step @p563 :rule eq-symm :args (@t135 @t182)) % 160.09/160.30 (step @p564 :rule cong :premises (@p545 @p563) :args ((=> @t17 @t183))) % 160.09/160.30 (assume-push @p630 @t17) % 160.09/160.30 (step-pop @p631 :rule scope :premises (@p364)) % 160.09/160.30 (step @p566 :rule process_scope :premises (@p631) :args (@t183)) % 160.09/160.30 (step @p568 :rule eq_resolve :premises (@p566 @p564)) % 160.09/160.30 (step @p569 :rule implies_elim :premises (@p568)) % 160.09/160.30 (step @p570 :rule chain_m_resolution :premises (@p569 @p5) :args ((= @t182 @t135) @t40 @t180)) % 160.09/160.30 (step @p571 :rule symm :premises (@p320)) % 160.09/160.30 (step @p572 :rule symm :premises (@p272)) % 160.09/160.30 (step @p573 :rule symm :premises (@p268)) % 160.09/160.30 (step @p574 :rule trans :premises (@p573 @p572 @p318 @p571 @p360 @p362 @p570 @p366 @p132 @p131)) % 160.09/160.30 (step @p575 :rule trans :premises (@p128 @p272 @p268)) % 160.09/160.30 (step @p576 :rule trans :premises (@p325 @p324)) % 160.09/160.30 (step @p577 :rule cong :premises (@p179 @p576) :args ((tptp.mult @t35 @t181))) % 160.09/160.30 (step @p578 :rule instantiate :premises (@p3) :args ((@list @t35 @t65))) % 160.09/160.30 (step @p579 :rule symm :premises (@p578)) % 160.09/160.30 (step @p580 :rule trans :premises (@p579 @p577 @p130)) % 160.09/160.30 (step @p581 :rule trans :premises (@p580 @p575 @p574)) % 160.09/160.30 (step @p582 :rule cong :premises (@p581 @p401) :args (@t185)) % 160.09/160.30 (step @p583 :rule cong :premises (@p581 @p582) :args ((tptp.ld @t184 @t185))) % 160.09/160.30 (step @p584 :rule trans :premises (@p583 @p562 @p543 @p542 @p540 @p487 @p473 @p472 @p470 @p468 @p447 @p410 @p409 @p407 @p400)) % 160.09/160.30 (step @p585 :rule symm :premises (@p583)) % 160.09/160.30 (step @p586 :rule symm :premises (@p562)) % 160.09/160.30 (step @p587 :rule eq-symm :args (@t186 @t187)) % 160.09/160.30 (step @p588 :rule cong :premises (@p545 @p587) :args ((=> @t17 @t188))) % 160.09/160.30 (assume-push @p632 @t17) % 160.09/160.30 (step-pop @p633 :rule scope :premises (@p543)) % 160.09/160.30 (step @p590 :rule process_scope :premises (@p633) :args (@t188)) % 160.09/160.30 (step @p592 :rule eq_resolve :premises (@p590 @p588)) % 160.09/160.30 (step @p593 :rule implies_elim :premises (@p592)) % 160.09/160.30 (step @p594 :rule chain_m_resolution :premises (@p593 @p5) :args ((= @t187 @t186) @t40 @t180)) % 160.09/160.30 (step @p595 :rule symm :premises (@p540)) % 160.09/160.30 (step @p596 :rule trans :premises (@p595 @p541 @p594 @p586 @p585)) % 160.09/160.30 (step @p597 :rule trans :premises (@p596 @p584)) % 160.09/160.30 (step @p598 :rule cong :premises (@p597 @p23) :args (@t25)) % 160.09/160.30 (step @p599 :rule cong :premises (@p597 @p598) :args (@t26)) % 160.09/160.30 (step @p600 :rule cong :premises (@p599 @p398) :args (@t29)) % 160.09/160.30 (step @p601 :rule trans :premises (@p600 @p16)) % 160.09/160.30 (step @p602 :rule eq_resolve :premises (@p601 @p15)) % 160.09/160.30 (step @p603 :rule false_elim :premises (@p602)) % 160.09/160.30 (step @p604 :rule cong :premises (@p545 @p11) :args ((=> @t17 @t29))) % 160.09/160.30 (assume-push @p634 @t17) % 160.09/160.30 (step @p606 :rule instantiate :premises (@p5) :args ((@list tptp.x0 @t23 @t21 tptp.x2))) % 160.09/160.30 (step-pop @p635 :rule scope :premises (@p606)) % 160.09/160.30 (step @p607 :rule process_scope :premises (@p635) :args (@t29)) % 160.09/160.30 (step @p609 :rule eq_resolve :premises (@p607 @p604)) % 160.09/160.30 (step @p610 :rule implies_elim :premises (@p609)) % 160.09/160.30 (step @p611 false :rule chain_m_resolution :premises (@p610 @p603 @p5) :args (false (@list true false) (@list @t28 @t17))) % 160.09/160.30 ) % 160.09/160.30 % SZS output end Proof % 160.09/160.31 % cvc5 exiting %------------------------------------------------------------------------------