%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP523-1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:20:51 AM UTC 2026 % Result : Unsatisfiable 33.87s 34.11s % Output : Proof 33.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP523-1 : TPTP v9.2.1. Released v2.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n026.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 01:15:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.47 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.56 --- Run --no-e-matching --full-saturate-quant at 6... % 21.33/21.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.33/27.59 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.43/33.62 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.87/34.11 % SZS status Unsatisfiable % 33.87/34.11 % SZS output start Proof % 33.87/34.12 ( % 33.87/34.12 (declare-sort $$unsorted 0) % 33.87/34.12 (declare-const tptp.a3 $$unsorted) % 33.87/34.12 (declare-const tptp.b3 $$unsorted) % 33.87/34.12 (declare-const tptp.c3 $$unsorted) % 33.87/34.12 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 33.87/34.12 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 33.87/34.12 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 33.87/34.12 (define @t1 () (@var "C" $$unsorted)) % 33.87/34.12 (define @t2 () (@var "B" $$unsorted)) % 33.87/34.12 (define @t3 () (@var "A" $$unsorted)) % 33.87/34.12 (define @t4 () (tptp.divide @t3 (tptp.divide @t2 (tptp.divide @t1 (tptp.divide @t3 @t2))))) % 33.87/34.12 (define @t5 () (@list @t3 @t2 @t1)) % 33.87/34.12 (define @t6 () (forall @t5 (= @t4 @t1))) % 33.87/34.12 (define @t7 () (forall (@list @t3 @t2) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t2 @t2) @t3)))) % 33.87/34.12 (define @t8 () (tptp.multiply tptp.b3 tptp.c3)) % 33.87/34.12 (define @t9 () (tptp.multiply tptp.a3 @t8)) % 33.87/34.12 (define @t10 () (tptp.multiply tptp.a3 tptp.b3)) % 33.87/34.12 (define @t11 () (tptp.multiply @t10 tptp.c3)) % 33.87/34.12 (define @t12 () (= @t11 @t9)) % 33.87/34.12 (define @t13 () (tptp.divide tptp.a3 tptp.a3)) % 33.87/34.12 (define @t14 () (tptp.divide tptp.a3 @t13)) % 33.87/34.12 (define @t15 () (tptp.divide tptp.a3 @t14)) % 33.87/34.12 (define @t16 () (tptp.divide tptp.a3 @t15)) % 33.87/34.12 (define @t17 () (tptp.divide @t13 @t16)) % 33.87/34.12 (define @t18 () (tptp.divide @t13 tptp.a3)) % 33.87/34.12 (define @t19 () (tptp.divide tptp.a3 @t18)) % 33.87/34.12 (define @t20 () (tptp.divide tptp.a3 @t19)) % 33.87/34.12 (define @t21 () (tptp.divide @t13 @t20)) % 33.87/34.12 (define @t22 () (tptp.divide @t15 @t17)) % 33.87/34.12 (define @t23 () (tptp.divide @t13 @t22)) % 33.87/34.12 (define @t24 () (tptp.divide @t15 @t15)) % 33.87/34.12 (define @t25 () (tptp.divide @t13 tptp.c3)) % 33.87/34.12 (define @t26 () (tptp.divide tptp.b3 @t25)) % 33.87/34.12 (define @t27 () (tptp.divide tptp.c3 @t26)) % 33.87/34.12 (define @t28 () (tptp.divide @t24 tptp.b3)) % 33.87/34.12 (define @t29 () (tptp.divide tptp.a3 @t28)) % 33.87/34.12 (define @t30 () (tptp.divide tptp.b3 @t29)) % 33.87/34.12 (define @t31 () (tptp.divide @t13 @t8)) % 33.87/34.12 (define @t32 () (tptp.divide tptp.a3 @t31)) % 33.87/34.12 (define @t33 () (tptp.divide @t13 @t27)) % 33.87/34.12 (define @t34 () (tptp.divide @t24 @t33)) % 33.87/34.12 (define @t35 () (tptp.divide @t13 (tptp.divide @t8 @t32))) % 33.87/34.12 (define @t36 () (tptp.divide @t8 (tptp.divide @t25 @t31))) % 33.87/34.12 (define @t37 () (tptp.divide tptp.b3 (tptp.divide @t27 @t28))) % 33.87/34.12 (define @t38 () (tptp.divide tptp.a3 @t22)) % 33.87/34.12 (define @t39 () (tptp.divide @t17 @t38)) % 33.87/34.12 (define @t40 () (tptp.divide @t38 (tptp.divide tptp.a3 @t39))) % 33.87/34.12 (define @t41 () (tptp.divide @t10 @t25)) % 33.87/34.12 (define @t42 () (tptp.inverse @t37)) % 33.87/34.12 (define @t43 () (tptp.divide (tptp.divide tptp.b3 tptp.b3) @t37)) % 33.87/34.12 (define @t44 () (= @t42 @t43)) % 33.87/34.12 (define @t45 () (= @t43 @t42)) % 33.87/34.12 (define @t46 () (tptp.divide @t17 @t30)) % 33.87/34.12 (define @t47 () (tptp.divide @t29 @t46)) % 33.87/34.12 (define @t48 () (tptp.divide @t40 (tptp.divide @t29 (tptp.divide @t17 @t40)))) % 33.87/34.12 (define @t49 () (tptp.divide @t13 (tptp.divide tptp.c3 @t41))) % 33.87/34.12 (define @t50 () (= tptp.a3 @t16)) % 33.87/34.12 (define @t51 () (tptp.divide tptp.a3 @t16)) % 33.87/34.12 (define @t52 () (tptp.divide @t15 @t51)) % 33.87/34.12 (define @t53 () (tptp.divide tptp.a3 @t52)) % 33.87/34.12 (define @t54 () (= tptp.a3 @t53)) % 33.87/34.12 (define @t55 () (= @t13 @t38)) % 33.87/34.12 (define @t56 () (= tptp.a3 @t21)) % 33.87/34.12 (define @t57 () (= @t8 @t26)) % 33.87/34.12 (define @t58 () (tptp.divide @t15 @t13)) % 33.87/34.12 (define @t59 () (= @t15 (tptp.divide tptp.a3 (tptp.divide tptp.a3 @t58)))) % 33.87/34.12 (define @t60 () (tptp.divide @t15 @t18)) % 33.87/34.12 (define @t61 () (tptp.divide tptp.a3 @t60)) % 33.87/34.12 (define @t62 () (tptp.divide @t13 @t61)) % 33.87/34.12 (define @t63 () (= @t15 @t62)) % 33.87/34.12 (define @t64 () (= tptp.a3 (tptp.divide @t13 (tptp.divide @t13 (tptp.divide tptp.a3 (tptp.divide @t13 @t13)))))) % 33.87/34.12 (define @t65 () (tptp.divide @t15 @t39)) % 33.87/34.12 (define @t66 () (= tptp.a3 @t65)) % 33.87/34.12 (define @t67 () (tptp.divide @t17 @t23)) % 33.87/34.12 (define @t68 () (tptp.divide @t15 @t67)) % 33.87/34.12 (define @t69 () (= @t13 @t68)) % 33.87/34.12 (define @t70 () (tptp.divide @t19 @t21)) % 33.87/34.12 (define @t71 () (= @t13 (tptp.divide tptp.a3 @t70))) % 33.87/34.12 (define @t72 () (= tptp.b3 @t33)) % 33.87/34.12 (define @t73 () (= @t9 @t32)) % 33.87/34.12 (define @t74 () (= @t10 @t29)) % 33.87/34.12 (define @t75 () (= @t15 (tptp.divide @t17 (tptp.divide @t15 (tptp.divide @t15 (tptp.divide @t17 @t15)))))) % 33.87/34.12 (define @t76 () (tptp.divide @t19 tptp.a3)) % 33.87/34.12 (define @t77 () (tptp.divide tptp.a3 @t76)) % 33.87/34.12 (define @t78 () (tptp.divide tptp.a3 @t77)) % 33.87/34.12 (define @t79 () (tptp.divide @t19 @t78)) % 33.87/34.12 (define @t80 () (= tptp.a3 @t79)) % 33.87/34.12 (define @t81 () (= @t13 (tptp.divide @t19 (tptp.divide @t21 (tptp.divide @t13 @t70))))) % 33.87/34.12 (define @t82 () (= @t15 (tptp.divide @t17 (tptp.divide @t23 @t68)))) % 33.87/34.12 (define @t83 () (tptp.divide @t17 @t67)) % 33.87/34.12 (define @t84 () (tptp.divide @t23 @t83)) % 33.87/34.12 (define @t85 () (tptp.divide @t17 @t84)) % 33.87/34.12 (define @t86 () (= @t17 @t85)) % 33.87/34.12 (define @t87 () (= tptp.a3 @t35)) % 33.87/34.12 (define @t88 () (tptp.divide @t13 (tptp.divide @t27 @t34))) % 33.87/34.12 (define @t89 () (= @t24 @t88)) % 33.87/34.12 (define @t90 () (tptp.divide @t24 @t30)) % 33.87/34.12 (define @t91 () (= tptp.a3 @t90)) % 33.87/34.12 (define @t92 () (tptp.divide @t17 @t17)) % 33.87/34.12 (define @t93 () (tptp.divide @t92 tptp.c3)) % 33.87/34.12 (define @t94 () (tptp.divide @t10 @t93)) % 33.87/34.12 (define @t95 () (= @t11 @t94)) % 33.87/34.12 (define @t96 () (tptp.divide @t92 tptp.b3)) % 33.87/34.12 (define @t97 () (= (tptp.inverse tptp.b3) @t96)) % 33.87/34.12 (define @t98 () (= @t17 (tptp.divide tptp.a3 (tptp.divide tptp.a3 (tptp.divide @t17 @t13))))) % 33.87/34.12 (define @t99 () (= @t19 (tptp.divide @t24 (tptp.divide @t30 (tptp.divide @t19 @t90))))) % 33.87/34.12 (define @t100 () (tptp.divide @t13 @t36)) % 33.87/34.12 (define @t101 () (= @t25 @t100)) % 33.87/34.12 (define @t102 () (tptp.divide @t32 @t35)) % 33.87/34.12 (define @t103 () (tptp.divide @t8 @t102)) % 33.87/34.12 (define @t104 () (= @t13 @t103)) % 33.87/34.12 (define @t105 () (tptp.divide @t24 @t37)) % 33.87/34.12 (define @t106 () (= @t27 @t105)) % 33.87/34.12 (define @t107 () (tptp.divide @t34 @t88)) % 33.87/34.12 (define @t108 () (tptp.divide @t27 @t107)) % 33.87/34.12 (define @t109 () (= @t13 @t108)) % 33.87/34.12 (define @t110 () (tptp.divide @t29 @t90)) % 33.87/34.12 (define @t111 () (tptp.divide tptp.b3 @t110)) % 33.87/34.12 (define @t112 () (= @t24 @t111)) % 33.87/34.12 (define @t113 () (= @t10 @t49)) % 33.87/34.12 (define @t114 () (tptp.divide tptp.a3 @t24)) % 33.87/34.12 (define @t115 () (tptp.divide @t30 @t114)) % 33.87/34.12 (define @t116 () (tptp.divide @t24 @t115)) % 33.87/34.12 (define @t117 () (tptp.divide tptp.a3 @t116)) % 33.87/34.12 (define @t118 () (= @t30 @t117)) % 33.87/34.12 (define @t119 () (tptp.divide @t32 tptp.a3)) % 33.87/34.12 (define @t120 () (= @t8 (tptp.divide @t32 (tptp.divide tptp.a3 (tptp.divide @t8 @t119))))) % 33.87/34.12 (define @t121 () (= @t27 (tptp.divide @t34 (tptp.divide @t15 (tptp.divide @t27 (tptp.divide @t34 @t15)))))) % 33.87/34.12 (define @t122 () (tptp.divide tptp.b3 (tptp.divide @t29 tptp.a3))) % 33.87/34.12 (define @t123 () (= tptp.b3 (tptp.divide @t29 (tptp.divide tptp.a3 @t122)))) % 33.87/34.12 (define @t124 () (tptp.divide tptp.b3 @t47)) % 33.87/34.12 (define @t125 () (= @t17 @t124)) % 33.87/34.12 (define @t126 () (tptp.divide tptp.c3 @t102)) % 33.87/34.12 (define @t127 () (tptp.divide @t35 @t126)) % 33.87/34.12 (define @t128 () (tptp.divide @t32 @t127)) % 33.87/34.12 (define @t129 () (= tptp.c3 @t128)) % 33.87/34.12 (define @t130 () (tptp.divide @t10 @t100)) % 33.87/34.12 (define @t131 () (tptp.divide @t13 (tptp.divide @t36 @t130))) % 33.87/34.12 (define @t132 () (= @t10 @t131)) % 33.87/34.12 (define @t133 () (= @t27 (tptp.divide @t24 (tptp.divide @t37 (tptp.divide @t27 @t105))))) % 33.87/34.12 (define @t134 () (tptp.divide @t17 @t48)) % 33.87/34.12 (define @t135 () (= @t29 @t134)) % 33.87/34.12 (define @t136 () (tptp.divide tptp.c3 (tptp.divide @t41 @t49))) % 33.87/34.12 (define @t137 () (= @t13 @t136)) % 33.87/34.12 (define @t138 () (tptp.divide @t13 @t24)) % 33.87/34.12 (define @t139 () (tptp.divide @t37 @t138)) % 33.87/34.12 (define @t140 () (tptp.divide @t24 @t139)) % 33.87/34.12 (define @t141 () (tptp.divide @t13 @t140)) % 33.87/34.12 (define @t142 () (= @t37 @t141)) % 33.87/34.12 (define @t143 () (tptp.divide @t15 @t124)) % 33.87/34.12 (define @t144 () (tptp.divide @t47 @t143)) % 33.87/34.12 (define @t145 () (= @t15 (tptp.divide tptp.b3 @t144))) % 33.87/34.12 (define @t146 () (= @t32 (tptp.divide @t17 (tptp.divide @t48 (tptp.divide @t32 @t134))))) % 33.87/34.12 (define @t147 () (tptp.divide @t41 @t134)) % 33.87/34.12 (define @t148 () (tptp.divide @t48 @t147)) % 33.87/34.12 (define @t149 () (tptp.divide @t17 @t148)) % 33.87/34.12 (define @t150 () (= @t41 @t149)) % 33.87/34.12 (define @t151 () (= tptp.c3 (tptp.divide @t41 (tptp.divide @t49 @t136)))) % 33.87/34.12 (define @t152 () (tptp.divide @t47 tptp.a3)) % 33.87/34.12 (define @t153 () (tptp.divide tptp.b3 @t152)) % 33.87/34.12 (define @t154 () (tptp.divide tptp.a3 @t153)) % 33.87/34.12 (define @t155 () (tptp.divide @t47 @t154)) % 33.87/34.12 (define @t156 () (= tptp.b3 @t155)) % 33.87/34.12 (define @t157 () (= @t47 (tptp.divide tptp.a3 (tptp.divide @t24 (tptp.divide @t47 @t114))))) % 33.87/34.12 (define @t158 () (tptp.divide @t13 @t15)) % 33.87/34.12 (define @t159 () (tptp.divide @t24 @t110)) % 33.87/34.12 (define @t160 () (tptp.divide @t19 @t19)) % 33.87/34.12 (define @t161 () (and @t50 @t54 @t55 @t56 @t57 @t59 @t63 @t64 @t66 @t69 @t71 @t72 @t73 @t74 @t75 @t80 @t81 @t82 @t86 @t87 @t89 @t91 @t95 @t97 @t98 @t99 @t101 @t104 @t106 @t109 @t112 @t113 @t118 @t120 @t121 @t123 @t125 @t129 @t132 @t133 @t135 @t137 @t45 @t142 @t145 @t146 @t150 @t151 @t156 @t157)) % 33.87/34.12 (assume @p1 @t6) % 33.87/34.12 (assume @p2 (forall @t5 (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide (tptp.divide @t1 @t1) @t2))))) % 33.87/34.12 (assume @p3 @t7) % 33.87/34.12 (assume @p4 (not @t12)) % 33.87/34.12 (step @p5 :rule eq-symm :args (@t4 @t1)) % 33.87/34.12 (step @p6 :rule cong :premises (@p5) :args (@t6)) % 33.87/34.12 (step @p7 :rule eq_resolve :premises (@p1 @p6)) % 33.87/34.12 (step @p8 :rule instantiate :premises (@p7) :args ((@list tptp.a3 tptp.a3 tptp.a3))) % 33.87/34.12 (step @p9 :rule instantiate :premises (@p7) :args ((@list tptp.a3 @t15 tptp.a3))) % 33.87/34.12 (step @p10 :rule instantiate :premises (@p7) :args ((@list tptp.a3 @t15 @t13))) % 33.87/34.12 (step @p11 :rule instantiate :premises (@p7) :args ((@list @t13 tptp.a3 tptp.a3))) % 33.87/34.12 (step @p12 :rule instantiate :premises (@p2) :args ((@list tptp.b3 tptp.c3 tptp.a3))) % 33.87/34.12 (step @p13 :rule instantiate :premises (@p7) :args ((@list tptp.a3 tptp.a3 @t15))) % 33.87/34.12 (step @p14 :rule instantiate :premises (@p7) :args ((@list @t13 tptp.a3 @t15))) % 33.87/34.12 (step @p15 :rule instantiate :premises (@p7) :args ((@list @t13 @t13 tptp.a3))) % 33.87/34.12 (step @p16 :rule instantiate :premises (@p7) :args ((@list @t15 @t17 tptp.a3))) % 33.87/34.12 (step @p17 :rule instantiate :premises (@p7) :args ((@list @t15 @t17 @t13))) % 33.87/34.12 (step @p18 :rule instantiate :premises (@p7) :args ((@list tptp.a3 @t19 @t13))) % 33.87/34.12 (step @p19 :rule instantiate :premises (@p7) :args ((@list @t13 tptp.c3 tptp.b3))) % 33.87/34.12 (step @p20 :rule instantiate :premises (@p2) :args ((@list tptp.a3 @t8 tptp.a3))) % 33.87/34.12 (step @p21 :rule instantiate :premises (@p2) :args ((@list tptp.a3 tptp.b3 @t15))) % 33.87/34.12 (step @p22 :rule instantiate :premises (@p7) :args ((@list @t17 @t15 @t15))) % 33.87/34.12 (step @p23 :rule instantiate :premises (@p7) :args ((@list @t19 tptp.a3 tptp.a3))) % 33.87/34.12 (step @p24 :rule instantiate :premises (@p7) :args ((@list @t19 @t21 @t13))) % 33.87/34.12 (step @p25 :rule instantiate :premises (@p7) :args ((@list @t17 @t23 @t15))) % 33.87/34.12 (step @p26 :rule instantiate :premises (@p7) :args ((@list @t17 @t23 @t17))) % 33.87/34.12 (step @p27 :rule instantiate :premises (@p7) :args ((@list @t13 @t8 tptp.a3))) % 33.87/34.12 (step @p28 :rule instantiate :premises (@p7) :args ((@list @t13 @t27 @t24))) % 33.87/34.12 (step @p29 :rule instantiate :premises (@p7) :args ((@list @t24 tptp.b3 tptp.a3))) % 33.87/34.12 (step @p30 :rule instantiate :premises (@p2) :args ((@list @t10 tptp.c3 @t17))) % 33.87/34.12 (step @p31 :rule instantiate :premises (@p3) :args ((@list tptp.b3 @t17))) % 33.87/34.12 (step @p32 :rule instantiate :premises (@p7) :args ((@list tptp.a3 tptp.a3 @t17))) % 33.87/34.12 (step @p33 :rule instantiate :premises (@p7) :args ((@list @t24 @t30 @t19))) % 33.87/34.12 (step @p34 :rule instantiate :premises (@p7) :args ((@list @t13 @t8 @t25))) % 33.87/34.12 (step @p35 :rule instantiate :premises (@p7) :args ((@list @t8 @t32 @t13))) % 33.87/34.12 (step @p36 :rule instantiate :premises (@p7) :args ((@list @t24 tptp.b3 @t27))) % 33.87/34.12 (step @p37 :rule instantiate :premises (@p7) :args ((@list @t27 @t34 @t13))) % 33.87/34.12 (step @p38 :rule instantiate :premises (@p7) :args ((@list tptp.b3 @t29 @t24))) % 33.87/34.12 (step @p39 :rule instantiate :premises (@p7) :args ((@list @t13 tptp.c3 @t10))) % 33.87/34.12 (step @p40 :rule instantiate :premises (@p7) :args ((@list tptp.a3 @t24 @t30))) % 33.87/34.12 (step @p41 :rule instantiate :premises (@p7) :args ((@list @t32 tptp.a3 @t8))) % 33.87/34.12 (step @p42 :rule instantiate :premises (@p7) :args ((@list @t34 @t15 @t27))) % 33.87/34.12 (step @p43 :rule instantiate :premises (@p7) :args ((@list @t29 tptp.a3 tptp.b3))) % 33.87/34.12 (step @p44 :rule instantiate :premises (@p7) :args ((@list tptp.b3 @t29 @t17))) % 33.87/34.12 (step @p45 :rule instantiate :premises (@p7) :args ((@list @t32 @t35 tptp.c3))) % 33.87/34.12 (step @p46 :rule instantiate :premises (@p7) :args ((@list @t13 @t36 @t10))) % 33.87/34.12 (step @p47 :rule instantiate :premises (@p7) :args ((@list @t24 @t37 @t27))) % 33.87/34.12 (step @p48 :rule instantiate :premises (@p7) :args ((@list @t17 @t40 @t29))) % 33.87/34.12 (step @p49 :rule instantiate :premises (@p7) :args ((@list tptp.c3 @t41 @t13))) % 33.87/34.12 (step @p50 :rule eq-symm :args (@t42 @t43)) % 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33.87/34.12 (step @p64 :rule instantiate :premises (@p7) :args ((@list @t41 @t49 tptp.c3))) % 33.87/34.12 (step @p65 :rule instantiate :premises (@p7) :args ((@list @t47 tptp.a3 tptp.b3))) % 33.87/34.12 (step @p66 :rule instantiate :premises (@p7) :args ((@list tptp.a3 @t24 @t47))) % 33.87/34.12 (assume-push @p385 @t50) % 33.87/34.12 (assume-push @p386 @t54) % 33.87/34.12 (assume-push @p387 @t55) % 33.87/34.12 (assume-push @p388 @t56) % 33.87/34.12 (assume-push @p389 @t57) % 33.87/34.12 (assume-push @p390 @t59) % 33.87/34.12 (assume-push @p391 @t63) % 33.87/34.12 (assume-push @p392 @t64) % 33.87/34.12 (assume-push @p393 @t66) % 33.87/34.12 (assume-push @p394 @t69) % 33.87/34.12 (assume-push @p395 @t71) % 33.87/34.12 (assume-push @p396 @t72) % 33.87/34.12 (assume-push @p397 @t73) % 33.87/34.12 (assume-push @p398 @t74) % 33.87/34.12 (assume-push @p399 @t75) % 33.87/34.12 (assume-push @p400 @t80) % 33.87/34.12 (assume-push @p401 @t81) % 33.87/34.12 (assume-push @p402 @t82) % 33.87/34.12 (assume-push @p403 @t86) % 33.87/34.12 (assume-push @p404 @t87) % 33.87/34.12 (assume-push @p405 @t89) % 33.87/34.12 (assume-push @p406 @t91) % 33.87/34.12 (assume-push @p407 @t95) % 33.87/34.12 (assume-push @p408 @t97) % 33.87/34.12 (assume-push @p409 @t98) % 33.87/34.12 (assume-push @p410 @t99) % 33.87/34.12 (assume-push @p411 @t101) % 33.87/34.12 (assume-push @p412 @t104) % 33.87/34.12 (assume-push @p413 @t106) % 33.87/34.12 (assume-push @p414 @t109) % 33.87/34.12 (assume-push @p415 @t112) % 33.87/34.12 (assume-push @p416 @t113) % 33.87/34.12 (assume-push @p417 @t118) % 33.87/34.12 (assume-push @p418 @t120) % 33.87/34.12 (assume-push @p419 @t121) % 33.87/34.12 (assume-push @p420 @t123) % 33.87/34.12 (assume-push @p421 @t125) % 33.87/34.12 (assume-push @p422 @t129) % 33.87/34.12 (assume-push @p423 @t132) % 33.87/34.12 (assume-push @p424 @t133) % 33.87/34.12 (assume-push @p425 @t135) % 33.87/34.12 (assume-push @p426 @t137) % 33.87/34.12 (assume-push @p427 @t45) % 33.87/34.12 (assume-push @p428 @t142) % 33.87/34.12 (assume-push @p429 @t145) % 33.87/34.12 (assume-push @p430 @t146) % 33.87/34.12 (assume-push @p431 @t150) % 33.87/34.12 (assume-push @p432 @t151) % 33.87/34.12 (assume-push @p433 @t156) % 33.87/34.12 (assume-push @p434 @t157) % 33.87/34.12 (step @p117 :rule symm :premises (@p20)) % 33.87/34.12 (step @p118 :rule symm :premises (@p62)) % 33.87/34.12 (step @p119 :rule symm :premises (@p43)) % 33.87/34.12 (step @p120 :rule symm :premises (@p29)) % 33.87/34.12 (step @p121 :rule refl :args (@t29)) % 33.87/34.12 (step @p122 :rule cong :premises (@p121 @p120) :args (@t110)) % 33.87/34.12 (step @p123 :rule refl :args (tptp.b3)) % 33.87/34.12 (step @p124 :rule cong :premises (@p123 @p122) :args (@t111)) % 33.87/34.12 (step @p125 :rule refl :args (@t15)) % 33.87/34.12 (step @p126 :rule symm :premises (@p13)) % 33.87/34.12 (step @p127 :rule symm :premises (@p8)) % 33.87/34.12 (step @p128 :rule refl :args (tptp.a3)) % 33.87/34.12 (step @p129 :rule cong 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33.87/34.12 (step @p158 :rule refl :args (@t17)) % 33.87/34.12 (step @p159 :rule cong :premises (@p158 @p157) :args (@t39)) % 33.87/34.12 (step @p160 :rule cong :premises (@p125 @p159) :args (@t65)) % 33.87/34.12 (step @p161 :rule trans :premises (@p16 @p160)) % 33.87/34.12 (step @p162 :rule cong :premises (@p134 @p161) :args (@t18)) % 33.87/34.12 (step @p163 :rule symm :premises (@p15)) % 33.87/34.12 (step @p164 :rule cong :premises (@p137 @p145) :args (@t158)) % 33.87/34.12 (step @p165 :rule cong :premises (@p145 @p134) :args (@t58)) % 33.87/34.12 (step @p166 :rule trans :premises (@p130 @p165 @p164)) % 33.87/34.12 (step @p167 :rule cong :premises (@p128 @p166) :args (@t53)) % 33.87/34.12 (step @p168 :rule trans :premises (@p9 @p167)) % 33.87/34.12 (step @p169 :rule cong :premises (@p137 @p168) :args (@t18)) % 33.87/34.12 (step @p170 :rule symm :premises (@p138)) % 33.87/34.12 (step @p171 :rule trans :premises (@p170 @p169)) % 33.87/34.12 (step @p172 :rule cong :premises (@p145 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33.87/34.12 (step @p188 :rule symm :premises (@p146)) % 33.87/34.12 (step @p189 :rule symm :premises (@p18)) % 33.87/34.12 (step @p190 :rule cong :premises (@p128 @p187) :args (@t77)) % 33.87/34.12 (step @p191 :rule trans :premises (@p190 @p189)) % 33.87/34.12 (step @p192 :rule cong :premises (@p128 @p191) :args (@t78)) % 33.87/34.12 (step @p193 :rule trans :premises (@p192 @p188 @p127)) % 33.87/34.12 (step @p194 :rule cong :premises (@p186 @p193) :args (@t79)) % 33.87/34.12 (step @p195 :rule trans :premises (@p23 @p194 @p187)) % 33.87/34.12 (step @p196 :rule cong :premises (@p137 @p195) :args (@t18)) % 33.87/34.12 (step @p197 :rule cong :premises (@p11 @p196) :args (@t19)) % 33.87/34.12 (step @p198 :rule cong :premises (@p186 @p197) :args (@t160)) % 33.87/34.12 (step @p199 :rule trans :premises (@p198 @p185)) % 33.87/34.12 (step @p200 :rule cong :premises (@p199 @p184) :args ((tptp.divide @t160 @t27))) % 33.87/34.12 (step @p201 :rule symm :premises (@p47)) % 33.87/34.12 (step @p202 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33.87/34.12 (step @p261 :rule trans :premises (@p260 @p258)) % 33.87/34.12 (step @p262 :rule symm :premises (@p178)) % 33.87/34.12 (step @p263 :rule cong :premises (@p262 @p261) :args (@t84)) % 33.87/34.12 (step @p264 :rule trans :premises (@p263 @p256 @p13 @p155 @p10)) % 33.87/34.12 (step @p265 :rule cong :premises (@p158 @p264) :args (@t85)) % 33.87/34.12 (step @p266 :rule trans :premises (@p138 @p26 @p265 @p255)) % 33.87/34.12 (step @p267 :rule cong :premises (@p128 @p266) :args (@t19)) % 33.87/34.12 (step @p268 :rule cong :premises (@p128 @p267) :args (@t20)) % 33.87/34.12 (step @p269 :rule symm :premises (@p33)) % 33.87/34.12 (step @p270 :rule cong :premises (@p186 @p29) :args (@t76)) % 33.87/34.12 (step @p271 :rule cong :premises (@p128 @p232) :args (@t114)) % 33.87/34.12 (step @p272 :rule trans :premises (@p271 @p188 @p127 @p23 @p194 @p270)) % 33.87/34.12 (step @p273 :rule refl :args (@t30)) % 33.87/34.12 (step @p274 :rule cong :premises (@p273 @p272) :args (@t115)) % 33.87/34.12 (step @p275 :rule cong :premises (@p150 @p274) :args (@t116)) % 33.87/34.12 (step @p276 :rule trans :premises (@p275 @p269)) % 33.87/34.12 (step @p277 :rule cong :premises (@p128 @p276) :args (@t117)) % 33.87/34.12 (step @p278 :rule trans :premises (@p40 @p277 @p268 @p254 @p170 @p177)) % 33.87/34.12 (step @p279 :rule cong :premises (@p158 @p278) :args (@t46)) % 33.87/34.12 (step @p280 :rule trans :premises (@p279 @p176 @p156 @p13 @p155 @p49)) % 33.87/34.12 (step @p281 :rule symm :premises (@p21)) % 33.87/34.12 (step @p282 :rule trans :premises (@p281 @p39)) % 33.87/34.12 (step @p283 :rule cong :premises (@p282 @p280) :args (@t47)) % 33.87/34.12 (step @p284 :rule symm :premises (@p66)) % 33.87/34.12 (step @p285 :rule symm :premises (@p271)) % 33.87/34.12 (step @p286 :rule symm :premises (@p44)) % 33.87/34.12 (step @p287 :rule cong :premises (@p125 @p286) :args (@t143)) % 33.87/34.12 (step @p288 :rule trans :premises (@p287 @p172 @p163 @p8 @p146 @p285)) % 33.87/34.12 (step @p289 :rule refl :args (@t47)) % 33.87/34.12 (step @p290 :rule cong :premises (@p289 @p288) :args (@t144)) % 33.87/34.12 (step @p291 :rule symm :premises (@p287)) % 33.87/34.12 (step @p292 :rule symm :premises (@p172)) % 33.87/34.12 (step @p293 :rule symm :premises (@p61)) % 33.87/34.12 (step @p294 :rule trans :premises (@p15 @p292 @p291)) % 33.87/34.12 (step @p295 :rule cong :premises (@p289 @p294) :args (@t152)) % 33.87/34.12 (step @p296 :rule cong :premises (@p123 @p295) :args (@t153)) % 33.87/34.12 (step @p297 :rule trans :premises (@p296 @p293 @p13 @p155)) % 33.87/34.12 (step @p298 :rule cong :premises (@p128 @p297) :args (@t154)) % 33.87/34.12 (step @p299 :rule trans :premises (@p298 @p188 @p127 @p15 @p292 @p291)) % 33.87/34.12 (step @p300 :rule cong :premises (@p289 @p299) :args (@t155)) % 33.87/34.12 (step @p301 :rule trans :premises (@p65 @p300 @p290)) % 33.87/34.12 (step @p302 :rule cong :premises (@p150 @p301) :args (@t28)) % 33.87/34.12 (step @p303 :rule trans :premises (@p247 @p36 @p234 @p59 @p227 @p31 @p182 @p302)) % 33.87/34.12 (step @p304 :rule cong :premises (@p236 @p303) :args (@t127)) % 33.87/34.12 (step @p305 :rule symm :premises (@p250)) % 33.87/34.12 (step @p306 :rule symm :premises (@p152)) % 33.87/34.12 (step @p307 :rule symm :premises (@p46)) % 33.87/34.12 (step @p308 :rule trans :premises (@p307 @p21 @p306 @p305 @p304 @p284 @p283)) % 33.87/34.12 (step @p309 :rule cong :premises (@p180 @p246) :args (@t93)) % 33.87/34.12 (step @p310 :rule refl :args (@t10)) % 33.87/34.12 (step @p311 :rule cong :premises (@p310 @p309) :args (@t94)) % 33.87/34.12 (step @p312 :rule symm :premises (@p309)) % 33.87/34.12 (step @p313 :rule symm :premises (@p34)) % 33.87/34.12 (step @p314 :rule trans :premises (@p313 @p312)) % 33.87/34.12 (step @p315 :rule cong :premises (@p310 @p314) :args (@t130)) % 33.87/34.12 (step @p316 :rule trans :premises (@p315 @p311)) % 33.87/34.12 (step @p317 :rule cong :premises (@p316 @p308) :args ((tptp.divide @t130 @t131))) % 33.87/34.12 (step @p318 :rule symm :premises (@p48)) % 33.87/34.12 (step @p319 :rule trans :premises (@p318 @p281 @p46)) % 33.87/34.12 (step @p320 :rule symm :premises (@p316)) % 33.87/34.12 (step @p321 :rule cong :premises (@p320 @p319) :args (@t147)) % 33.87/34.12 (step @p322 :rule trans :premises (@p321 @p317 @p253 @p45 @p252)) % 33.87/34.12 (step @p323 :rule refl :args (@t48)) % 33.87/34.12 (step @p324 :rule cong :premises (@p323 @p322) :args (@t148)) % 33.87/34.12 (step @p325 :rule cong :premises (@p158 @p324) :args (@t149)) % 33.87/34.12 (step @p326 :rule trans :premises (@p30 @p311 @p63 @p325 @p118 @p117)) % 33.87/34.12 (step-pop @p435 :rule scope :premises (@p326)) % 33.87/34.12 (step-pop @p436 :rule scope :premises (@p435)) % 33.87/34.12 (step-pop @p437 :rule scope :premises (@p436)) % 33.87/34.12 (step-pop @p438 :rule scope :premises (@p437)) % 33.87/34.12 (step-pop @p439 :rule scope :premises (@p438)) % 33.87/34.12 (step-pop @p440 :rule scope :premises (@p439)) % 33.87/34.12 (step-pop @p441 :rule scope :premises (@p440)) % 33.87/34.12 (step-pop @p442 :rule scope :premises (@p441)) % 33.87/34.12 (step-pop @p443 :rule scope :premises (@p442)) % 33.87/34.12 (step-pop @p444 :rule scope :premises (@p443)) % 33.87/34.12 (step-pop @p445 :rule scope :premises (@p444)) % 33.87/34.12 (step-pop @p446 :rule scope :premises (@p445)) % 33.87/34.12 (step-pop @p447 :rule scope :premises (@p446)) % 33.87/34.12 (step-pop @p448 :rule scope :premises (@p447)) % 33.87/34.12 (step-pop @p449 :rule scope :premises (@p448)) % 33.87/34.12 (step-pop @p450 :rule scope :premises (@p449)) % 33.87/34.12 (step-pop @p451 :rule scope :premises (@p450)) % 33.87/34.12 (step-pop @p452 :rule scope :premises (@p451)) % 33.87/34.12 (step-pop @p453 :rule scope :premises (@p452)) % 33.87/34.12 (step-pop @p454 :rule scope :premises (@p453)) % 33.87/34.12 (step-pop @p455 :rule scope :premises (@p454)) % 33.87/34.12 (step-pop @p456 :rule scope :premises (@p455)) % 33.87/34.12 (step-pop @p457 :rule scope :premises (@p456)) % 33.87/34.12 (step-pop @p458 :rule scope :premises (@p457)) % 33.87/34.12 (step-pop @p459 :rule scope :premises (@p458)) % 33.87/34.12 (step-pop @p460 :rule scope :premises (@p459)) % 33.87/34.12 (step-pop @p461 :rule scope :premises (@p460)) % 33.87/34.12 (step-pop @p462 :rule scope :premises (@p461)) % 33.87/34.12 (step-pop @p463 :rule scope :premises (@p462)) % 33.87/34.12 (step-pop @p464 :rule scope :premises (@p463)) % 33.87/34.12 (step-pop @p465 :rule scope :premises (@p464)) % 33.87/34.12 (step-pop @p466 :rule scope :premises (@p465)) % 33.87/34.12 (step-pop @p467 :rule scope :premises (@p466)) % 33.87/34.12 (step-pop @p468 :rule scope :premises (@p467)) % 33.87/34.12 (step-pop @p469 :rule scope :premises (@p468)) % 33.87/34.12 (step-pop @p470 :rule scope :premises (@p469)) % 33.87/34.12 (step-pop @p471 :rule scope :premises (@p470)) % 33.87/34.12 (step-pop @p472 :rule scope :premises (@p471)) % 33.87/34.12 (step-pop @p473 :rule scope :premises (@p472)) % 33.87/34.12 (step-pop @p474 :rule scope :premises (@p473)) % 33.87/34.12 (step-pop @p475 :rule scope :premises (@p474)) % 33.87/34.12 (step-pop @p476 :rule scope :premises (@p475)) % 33.87/34.12 (step-pop @p477 :rule scope :premises (@p476)) % 33.87/34.12 (step-pop @p478 :rule scope :premises (@p477)) % 33.87/34.12 (step-pop @p479 :rule scope :premises (@p478)) % 33.87/34.12 (step-pop @p480 :rule scope :premises (@p479)) % 33.87/34.12 (step-pop @p481 :rule scope :premises (@p480)) % 33.87/34.12 (step-pop @p482 :rule scope :premises (@p481)) % 33.87/34.12 (step-pop @p483 :rule scope :premises (@p482)) % 33.87/34.12 (step-pop @p484 :rule scope :premises (@p483)) % 33.87/34.12 (step @p327 :rule process_scope :premises (@p484) :args (@t12)) % 33.87/34.12 (step @p378 :rule implies_elim :premises (@p327)) % 33.87/34.12 (step @p379 :rule cnf_and_neg :args (@t161)) % 33.87/34.12 (step @p380 :rule resolution :premises (@p379 @p378) :args (true @t161)) % 33.87/34.12 (step @p381 :rule reordering :premises (@p380) :args ((or @t12 (not @t50) (not @t54) (not @t55) (not @t56) (not @t57) (not @t59) (not @t63) (not @t64) (not @t66) (not @t69) (not @t71) (not @t72) (not @t73) (not @t74) (not @t75) (not @t80) (not @t81) (not @t82) (not @t86) (not @t87) (not @t89) (not @t91) (not @t95) (not @t97) (not @t98) (not @t99) (not @t101) (not @t104) (not @t106) (not @t109) (not @t112) (not @t113) (not @t118) (not @t120) (not @t121) (not @t123) (not @t125) (not @t129) (not @t132) (not @t133) (not @t135) (not @t137) (not @t45) (not @t142) (not @t145) (not @t146) (not @t150) (not @t151) (not @t156) (not @t157)))) % 33.87/34.12 (step @p382 false :rule chain_m_resolution :premises (@p381 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p13 @p12 @p11 @p10 @p9 @p8 @p4) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t157 @t156 @t151 @t150 @t146 @t145 @t142 @t45 @t137 @t135 @t133 @t132 @t129 @t125 @t123 @t121 @t120 @t118 @t113 @t112 @t109 @t106 @t104 @t101 @t99 @t98 @t97 @t95 @t91 @t89 @t87 @t86 @t82 @t81 @t80 @t75 @t74 @t73 @t72 @t71 @t69 @t66 @t64 @t63 @t59 @t57 @t56 @t55 @t54 @t50 @t12))) % 33.87/34.12 ) % 33.87/34.12 % SZS output end Proof % 33.87/34.12 % cvc5 exiting %------------------------------------------------------------------------------