%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP531-1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:20:52 AM UTC 2026 % Result : Unsatisfiable 18.62s 18.90s % Output : Proof 18.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP531-1 : TPTP v9.2.1. Released v2.6.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n011.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 01:15:05 EDT 2026 % 0.15/0.34 % 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... % 15.33/15.55 --- Run --no-e-matching --full-saturate-quant at 6... % 18.62/18.90 % SZS status Unsatisfiable % 18.62/18.90 % SZS output start Proof % 18.72/18.90 ( % 18.72/18.90 (declare-sort $$unsorted 0) % 18.72/18.90 (declare-const tptp.a3 $$unsorted) % 18.72/18.90 (declare-const tptp.b3 $$unsorted) % 18.72/18.90 (declare-const tptp.c3 $$unsorted) % 18.72/18.90 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 18.72/18.90 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 18.72/18.90 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 18.72/18.90 (define @t1 () (@var "C" $$unsorted)) % 18.72/18.90 (define @t2 () (@var "B" $$unsorted)) % 18.72/18.90 (define @t3 () (@var "A" $$unsorted)) % 18.72/18.90 (define @t4 () (tptp.divide (tptp.divide @t3 (tptp.divide @t2 @t1)) (tptp.divide @t3 @t2))) % 18.72/18.90 (define @t5 () (@list @t3 @t2 @t1)) % 18.72/18.90 (define @t6 () (forall @t5 (= @t4 @t1))) % 18.72/18.90 (define @t7 () (forall (@list @t3 @t2) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t2 @t2) @t3)))) % 18.72/18.90 (define @t8 () (tptp.multiply tptp.b3 tptp.c3)) % 18.72/18.90 (define @t9 () (tptp.multiply tptp.a3 @t8)) % 18.72/18.90 (define @t10 () (tptp.multiply tptp.a3 tptp.b3)) % 18.72/18.90 (define @t11 () (tptp.multiply @t10 tptp.c3)) % 18.72/18.90 (define @t12 () (= @t11 @t9)) % 18.72/18.90 (define @t13 () (tptp.inverse tptp.b3)) % 18.72/18.90 (define @t14 () (tptp.divide tptp.a3 tptp.a3)) % 18.72/18.90 (define @t15 () (tptp.divide @t14 tptp.b3)) % 18.72/18.90 (define @t16 () (= @t13 @t15)) % 18.72/18.90 (define @t17 () (= @t15 @t13)) % 18.72/18.90 (define @t18 () (@list false)) % 18.72/18.90 (define @t19 () (@list @t7)) % 18.72/18.90 (define @t20 () (tptp.inverse tptp.c3)) % 18.72/18.90 (define @t21 () (tptp.divide @t14 tptp.c3)) % 18.72/18.90 (define @t22 () (= @t20 @t21)) % 18.72/18.90 (define @t23 () (= @t21 @t20)) % 18.72/18.90 (define @t24 () (tptp.inverse @t14)) % 18.72/18.90 (define @t25 () (tptp.divide @t14 @t14)) % 18.72/18.90 (define @t26 () (= @t24 @t25)) % 18.72/18.90 (define @t27 () (@list @t14 tptp.a3)) % 18.72/18.90 (define @t28 () (= @t25 @t24)) % 18.72/18.90 (define @t29 () (tptp.divide @t14 tptp.a3)) % 18.72/18.90 (define @t30 () (tptp.inverse @t29)) % 18.72/18.90 (define @t31 () (tptp.divide @t14 @t29)) % 18.72/18.90 (define @t32 () (= @t30 @t31)) % 18.72/18.90 (define @t33 () (= @t31 @t30)) % 18.72/18.90 (define @t34 () (tptp.divide tptp.b3 tptp.b3)) % 18.72/18.90 (define @t35 () (tptp.divide tptp.a3 @t14)) % 18.72/18.90 (define @t36 () (tptp.divide tptp.a3 @t10)) % 18.72/18.90 (define @t37 () (tptp.divide tptp.a3 @t36)) % 18.72/18.90 (define @t38 () (tptp.divide tptp.b3 tptp.a3)) % 18.72/18.90 (define @t39 () (tptp.divide @t10 @t38)) % 18.72/18.90 (define @t40 () (tptp.divide @t10 tptp.a3)) % 18.72/18.90 (define @t41 () (tptp.divide tptp.a3 @t40)) % 18.72/18.90 (define @t42 () (tptp.divide tptp.a3 tptp.c3)) % 18.72/18.90 (define @t43 () (tptp.divide tptp.a3 @t42)) % 18.72/18.90 (define @t44 () (tptp.divide @t8 @t8)) % 18.72/18.90 (define @t45 () (tptp.divide tptp.a3 @t8)) % 18.72/18.90 (define @t46 () (tptp.divide tptp.a3 @t45)) % 18.72/18.90 (define @t47 () (tptp.divide @t10 tptp.b3)) % 18.72/18.90 (define @t48 () (tptp.divide tptp.a3 @t47)) % 18.72/18.90 (define @t49 () (tptp.divide @t10 (tptp.divide tptp.b3 @t8))) % 18.72/18.90 (define @t50 () (tptp.divide tptp.a3 @t49)) % 18.72/18.90 (define @t51 () (tptp.divide tptp.a3 @t50)) % 18.72/18.90 (define @t52 () (tptp.divide tptp.a3 @t15)) % 18.72/18.90 (define @t53 () (= @t10 @t52)) % 18.72/18.90 (define @t54 () (tptp.divide tptp.a3 tptp.b3)) % 18.72/18.90 (define @t55 () (tptp.divide tptp.a3 @t34)) % 18.72/18.90 (define @t56 () (= tptp.b3 (tptp.divide @t55 @t54))) % 18.72/18.90 (define @t57 () (tptp.divide tptp.b3 @t14)) % 18.72/18.90 (define @t58 () (tptp.divide @t57 @t38)) % 18.72/18.90 (define @t59 () (= tptp.a3 @t58)) % 18.72/18.90 (define @t60 () (= tptp.a3 (tptp.divide (tptp.divide tptp.b3 @t38) @t34))) % 18.72/18.90 (define @t61 () (tptp.divide @t43 @t14)) % 18.72/18.90 (define @t62 () (= tptp.c3 @t61)) % 18.72/18.90 (define @t63 () (tptp.divide tptp.b3 @t21)) % 18.72/18.90 (define @t64 () (= @t8 @t63)) % 18.72/18.90 (define @t65 () (tptp.divide tptp.c3 tptp.c3)) % 18.72/18.90 (define @t66 () (= tptp.c3 (tptp.divide (tptp.divide tptp.a3 @t65) @t42))) % 18.72/18.90 (define @t67 () (tptp.divide tptp.b3 tptp.c3)) % 18.72/18.90 (define @t68 () (tptp.divide tptp.b3 @t67)) % 18.72/18.90 (define @t69 () (tptp.divide @t68 @t34)) % 18.72/18.90 (define @t70 () (= tptp.c3 @t69)) % 18.72/18.90 (define @t71 () (= tptp.c3 (tptp.divide (tptp.divide tptp.b3 @t65) @t67))) % 18.72/18.90 (define @t72 () (tptp.divide @t44 tptp.c3)) % 18.72/18.90 (define @t73 () (= @t20 @t72)) % 18.72/18.90 (define @t74 () (tptp.divide @t10 @t21)) % 18.72/18.90 (define @t75 () (= @t11 @t74)) % 18.72/18.90 (define @t76 () (= @t9 (tptp.divide tptp.a3 (tptp.divide @t14 @t8)))) % 18.72/18.90 (define @t77 () (tptp.divide @t25 tptp.b3)) % 18.72/18.90 (define @t78 () (= @t13 @t77)) % 18.72/18.90 (define @t79 () (tptp.divide @t37 @t14)) % 18.72/18.90 (define @t80 () (= @t10 @t79)) % 18.72/18.90 (define @t81 () (tptp.divide @t41 @t36)) % 18.72/18.90 (define @t82 () (= tptp.a3 @t81)) % 18.72/18.90 (define @t83 () (tptp.divide @t48 @t36)) % 18.72/18.90 (define @t84 () (= tptp.b3 @t83)) % 18.72/18.90 (define @t85 () (tptp.divide @t34 @t14)) % 18.72/18.90 (define @t86 () (= @t24 @t85)) % 18.72/18.90 (define @t87 () (tptp.divide @t10 @t10)) % 18.72/18.90 (define @t88 () (tptp.divide tptp.a3 @t87)) % 18.72/18.90 (define @t89 () (tptp.divide @t88 @t36)) % 18.72/18.90 (define @t90 () (= @t10 @t89)) % 18.72/18.90 (define @t91 () (tptp.divide @t44 @t14)) % 18.72/18.90 (define @t92 () (= @t24 @t91)) % 18.72/18.90 (define @t93 () (tptp.divide @t10 @t14)) % 18.72/18.90 (define @t94 () (tptp.divide @t93 @t40)) % 18.72/18.90 (define @t95 () (= tptp.a3 @t94)) % 18.72/18.90 (define @t96 () (= tptp.a3 (tptp.divide @t39 @t47))) % 18.72/18.90 (define @t97 () (tptp.divide @t34 @t29)) % 18.72/18.90 (define @t98 () (= @t30 @t97)) % 18.72/18.90 (define @t99 () (tptp.divide @t10 @t47)) % 18.72/18.90 (define @t100 () (tptp.divide @t99 @t87)) % 18.72/18.90 (define @t101 () (= tptp.b3 @t100)) % 18.72/18.90 (define @t102 () (tptp.divide @t25 @t29)) % 18.72/18.90 (define @t103 () (= @t30 @t102)) % 18.72/18.90 (define @t104 () (= tptp.a3 @t102)) % 18.72/18.90 (define @t105 () (tptp.divide tptp.a3 @t31)) % 18.72/18.90 (define @t106 () (tptp.divide @t105 @t35)) % 18.72/18.90 (define @t107 () (= @t29 @t106)) % 18.72/18.90 (define @t108 () (tptp.divide @t97 @t85)) % 18.72/18.90 (define @t109 () (= tptp.a3 @t108)) % 18.72/18.90 (define @t110 () (= @t35 (tptp.divide (tptp.divide @t34 (tptp.divide @t14 @t35)) @t85))) % 18.72/18.90 (define @t111 () (= @t14 (tptp.divide (tptp.divide tptp.a3 @t35) @t14))) % 18.72/18.90 (define @t112 () (tptp.divide tptp.a3 @t25)) % 18.72/18.90 (define @t113 () (= tptp.b3 (tptp.divide (tptp.divide tptp.a3 @t77) @t112))) % 18.72/18.90 (define @t114 () (tptp.divide @t37 @t25)) % 18.72/18.90 (define @t115 () (= @t14 (tptp.divide @t114 @t79))) % 18.72/18.90 (define @t116 () (tptp.divide @t39 tptp.a3)) % 18.72/18.90 (define @t117 () (tptp.divide @t39 @t55)) % 18.72/18.90 (define @t118 () (tptp.divide @t117 @t116)) % 18.72/18.90 (define @t119 () (= @t34 @t118)) % 18.72/18.90 (define @t120 () (tptp.divide tptp.a3 @t41)) % 18.72/18.90 (define @t121 () (tptp.divide tptp.a3 @t81)) % 18.72/18.90 (define @t122 () (tptp.divide @t121 @t120)) % 18.72/18.90 (define @t123 () (= @t36 @t122)) % 18.72/18.90 (define @t124 () (tptp.divide @t43 @t25)) % 18.72/18.90 (define @t125 () (tptp.divide @t124 @t61)) % 18.72/18.90 (define @t126 () (= @t14 @t125)) % 18.72/18.90 (define @t127 () (= tptp.c3 (tptp.divide (tptp.divide @t44 @t65) @t72))) % 18.72/18.90 (define @t128 () (tptp.divide @t46 @t14)) % 18.72/18.90 (define @t129 () (= @t8 @t128)) % 18.72/18.90 (define @t130 () (tptp.divide @t46 @t25)) % 18.72/18.90 (define @t131 () (= @t14 (tptp.divide @t130 @t128))) % 18.72/18.90 (define @t132 () (tptp.divide tptp.a3 @t44)) % 18.72/18.90 (define @t133 () (tptp.divide @t132 @t45)) % 18.72/18.90 (define @t134 () (= @t8 @t133)) % 18.72/18.90 (define @t135 () (tptp.divide @t63 @t57)) % 18.72/18.90 (define @t136 () (= tptp.c3 @t135)) % 18.72/18.90 (define @t137 () (= @t36 (tptp.divide (tptp.divide @t8 @t83) (tptp.divide @t8 @t48)))) % 18.72/18.90 (define @t138 () (tptp.divide @t43 @t8)) % 18.72/18.90 (define @t139 () (tptp.divide @t43 @t44)) % 18.72/18.90 (define @t140 () (tptp.divide @t139 @t138)) % 18.72/18.90 (define @t141 () (= @t8 @t140)) % 18.72/18.90 (define @t142 () (= tptp.b3 (tptp.divide (tptp.divide tptp.c3 @t15) (tptp.divide tptp.c3 @t14)))) % 18.72/18.90 (define @t143 () (tptp.divide @t8 @t14)) % 18.72/18.90 (define @t144 () (tptp.divide @t14 @t21)) % 18.72/18.90 (define @t145 () (tptp.divide @t8 @t144)) % 18.72/18.90 (define @t146 () (tptp.divide @t145 @t143)) % 18.72/18.90 (define @t147 () (= @t21 @t146)) % 18.72/18.90 (define @t148 () (= @t8 (tptp.divide @t49 @t47))) % 18.72/18.90 (define @t149 () (tptp.divide @t51 @t14)) % 18.72/18.90 (define @t150 () (= @t49 @t149)) % 18.72/18.90 (define @t151 () (= @t14 (tptp.divide (tptp.divide @t51 @t25) @t149))) % 18.72/18.90 (define @t152 () (tptp.divide @t49 @t49)) % 18.72/18.90 (define @t153 () (tptp.divide (tptp.divide tptp.a3 @t152) @t50)) % 18.72/18.90 (define @t154 () (= @t49 @t153)) % 18.72/18.90 (define @t155 () (tptp.divide @t49 tptp.a3)) % 18.72/18.90 (define @t156 () (tptp.divide @t49 @t51)) % 18.72/18.90 (define @t157 () (tptp.divide @t156 @t155)) % 18.72/18.90 (define @t158 () (= @t50 @t157)) % 18.72/18.90 (define @t159 () (tptp.divide @t8 @t25)) % 18.72/18.90 (define @t160 () (and @t53 @t17 @t56 @t59 @t60 @t23 @t62 @t64 @t66 @t70 @t71 @t73 @t75 @t76 @t78 @t80 @t82 @t28 @t84 @t86 @t90 @t92 @t95 @t96 @t33 @t98 @t101 @t103 @t104 @t107 @t109 @t110 @t111 @t113 @t115 @t119 @t123 @t126 @t127 @t129 @t131 @t134 @t136 @t137 @t141 @t142 @t147 @t148 @t150 @t151 @t154 @t158)) % 18.72/18.90 (assume @p1 @t6) % 18.72/18.90 (assume @p2 (forall @t5 (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide (tptp.divide @t1 @t1) @t2))))) % 18.72/18.90 (assume @p3 @t7) % 18.72/18.90 (assume @p4 (not @t12)) % 18.72/18.90 (step @p5 :rule instantiate :premises (@p2) :args ((@list tptp.a3 tptp.b3 tptp.a3))) % 18.72/18.90 (step @p6 :rule eq-symm :args (@t13 @t15)) % 18.72/18.90 (step @p7 :rule refl :args (@t7)) % 18.72/18.90 (step @p8 :rule cong :premises (@p7 @p6) :args ((=> @t7 @t16))) % 18.72/18.90 (assume-push @p402 @t7) % 18.72/18.90 (step @p10 :rule instantiate :premises (@p3) :args ((@list tptp.b3 tptp.a3))) % 18.72/18.90 (step-pop @p403 :rule scope :premises (@p10)) % 18.72/18.90 (step @p11 :rule process_scope :premises (@p403) :args (@t16)) % 18.72/18.90 (step @p13 :rule eq_resolve :premises (@p11 @p8)) % 18.72/18.90 (step @p14 :rule implies_elim :premises (@p13)) % 18.72/18.90 (step @p15 :rule chain_m_resolution :premises (@p14 @p3) :args (@t17 @t18 @t19)) % 18.72/18.90 (step @p16 :rule eq-symm :args (@t4 @t1)) % 18.72/18.90 (step @p17 :rule cong :premises (@p16) :args (@t6)) % 18.72/18.90 (step @p18 :rule eq_resolve :premises (@p1 @p17)) % 18.72/18.90 (step @p19 :rule instantiate :premises (@p18) :args ((@list tptp.a3 tptp.b3 tptp.b3))) % 18.72/18.90 (step @p20 :rule instantiate :premises (@p18) :args ((@list tptp.b3 tptp.a3 tptp.a3))) % 18.72/18.90 (step @p21 :rule instantiate :premises (@p18) :args ((@list tptp.b3 tptp.b3 tptp.a3))) % 18.72/18.90 (step @p22 :rule eq-symm :args (@t20 @t21)) % 18.72/18.90 (step @p23 :rule cong :premises (@p7 @p22) :args ((=> @t7 @t22))) % 18.72/18.90 (assume-push @p404 @t7) % 18.72/18.90 (step @p25 :rule instantiate :premises (@p3) :args ((@list tptp.c3 tptp.a3))) % 18.72/18.90 (step-pop @p405 :rule scope :premises (@p25)) % 18.72/18.90 (step @p26 :rule process_scope :premises (@p405) :args (@t22)) % 18.72/18.90 (step @p28 :rule eq_resolve :premises (@p26 @p23)) % 18.72/18.90 (step @p29 :rule implies_elim :premises (@p28)) % 18.72/18.90 (step @p30 :rule chain_m_resolution :premises (@p29 @p3) :args (@t23 @t18 @t19)) % 18.72/18.90 (step @p31 :rule instantiate :premises (@p18) :args ((@list tptp.a3 tptp.a3 tptp.c3))) % 18.72/18.90 (step @p32 :rule instantiate :premises (@p2) :args ((@list tptp.b3 tptp.c3 tptp.a3))) % 18.72/18.90 (step @p33 :rule instantiate :premises (@p18) :args ((@list tptp.a3 tptp.c3 tptp.c3))) % 18.72/18.90 (step @p34 :rule instantiate :premises (@p18) :args ((@list tptp.b3 tptp.b3 tptp.c3))) % 18.72/18.90 (step @p35 :rule instantiate :premises (@p18) :args ((@list tptp.b3 tptp.c3 tptp.c3))) % 18.72/18.90 (step @p36 :rule instantiate :premises (@p3) :args ((@list tptp.c3 @t8))) % 18.72/18.90 (step @p37 :rule instantiate :premises (@p2) :args ((@list @t10 tptp.c3 tptp.a3))) % 18.72/18.90 (step @p38 :rule instantiate :premises (@p2) :args ((@list tptp.a3 @t8 tptp.a3))) % 18.72/18.90 (step @p39 :rule instantiate :premises (@p3) :args ((@list tptp.b3 @t14))) % 18.72/18.90 (step @p40 :rule instantiate :premises (@p18) :args ((@list tptp.a3 tptp.a3 @t10))) % 18.72/18.90 (step @p41 :rule instantiate :premises (@p18) :args ((@list tptp.a3 @t10 tptp.a3))) % 18.72/18.90 (step @p42 :rule eq-symm :args (@t24 @t25)) % 18.72/18.90 (step @p43 :rule cong :premises (@p7 @p42) :args ((=> @t7 @t26))) % 18.72/18.90 (assume-push @p406 @t7) % 18.72/18.90 (step @p45 :rule instantiate :premises (@p3) :args (@t27)) % 18.72/18.90 (step-pop @p407 :rule scope :premises (@p45)) % 18.72/18.90 (step @p46 :rule process_scope :premises (@p407) :args (@t26)) % 18.72/18.90 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 18.72/18.90 (step @p49 :rule implies_elim :premises (@p48)) % 18.72/18.90 (step @p50 :rule chain_m_resolution :premises (@p49 @p3) :args (@t28 @t18 @t19)) % 18.72/18.90 (step @p51 :rule instantiate :premises (@p18) :args ((@list tptp.a3 @t10 tptp.b3))) % 18.72/18.90 (step @p52 :rule instantiate :premises (@p3) :args ((@list @t14 tptp.b3))) % 18.72/18.90 (step @p53 :rule instantiate :premises (@p18) :args ((@list tptp.a3 @t10 @t10))) % 18.72/18.90 (step @p54 :rule instantiate :premises (@p3) :args ((@list @t14 @t8))) % 18.72/18.90 (step @p55 :rule instantiate :premises (@p18) :args ((@list @t10 tptp.a3 tptp.a3))) % 18.72/18.90 (step @p56 :rule instantiate :premises (@p18) :args ((@list @t10 tptp.b3 tptp.a3))) % 18.72/18.90 (step @p57 :rule eq-symm :args (@t30 @t31)) % 18.72/18.90 (step @p58 :rule cong :premises (@p7 @p57) :args ((=> @t7 @t32))) % 18.72/18.90 (assume-push @p408 @t7) % 18.72/18.90 (step @p60 :rule instantiate :premises (@p3) :args ((@list @t29 tptp.a3))) % 18.72/18.90 (step-pop @p409 :rule scope :premises (@p60)) % 18.72/18.90 (step @p61 :rule process_scope :premises (@p409) :args (@t32)) % 18.72/18.90 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 18.72/18.90 (step @p64 :rule implies_elim :premises (@p63)) % 18.72/18.90 (step @p65 :rule chain_m_resolution :premises (@p64 @p3) :args (@t33 @t18 @t19)) % 18.72/18.90 (step @p66 :rule instantiate :premises (@p3) :args ((@list @t29 tptp.b3))) % 18.72/18.90 (step @p67 :rule instantiate :premises (@p18) :args ((@list @t10 @t10 tptp.b3))) % 18.72/18.90 (step @p68 :rule instantiate 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(@p34 @p289 @p265 @p247)) % 18.72/18.90 (step @p291 :rule symm :premises (@p19)) % 18.72/18.90 (step @p292 :rule refl :args (@t54)) % 18.72/18.90 (step @p293 :rule symm :premises (@p283)) % 18.72/18.90 (step @p294 :rule cong :premises (@p293 @p292) :args ((tptp.divide tptp.a3 @t54))) % 18.72/18.90 (step @p295 :rule cong :premises (@p156 @p160) :args (@t41)) % 18.72/18.90 (step @p296 :rule cong :premises (@p156 @p295) :args (@t120)) % 18.72/18.90 (step @p297 :rule trans :premises (@p296 @p294 @p291)) % 18.72/18.90 (step @p298 :rule symm :premises (@p41)) % 18.72/18.90 (step @p299 :rule cong :premises (@p156 @p298) :args (@t121)) % 18.72/18.90 (step @p300 :rule cong :premises (@p299 @p297) :args (@t122)) % 18.72/18.90 (step @p301 :rule symm :premises (@p84)) % 18.72/18.90 (step @p302 :rule cong :premises (@p156 @p202) :args (@t14)) % 18.72/18.90 (step @p303 :rule trans :premises (@p178 @p162 @p302)) % 18.72/18.90 (step @p304 :rule cong :premises (@p242 @p303) :args (@t159)) % 18.72/18.90 (step @p305 :rule symm :premises (@p241)) % 18.72/18.90 (step @p306 :rule trans :premises (@p80 @p233 @p305 @p304)) % 18.72/18.90 (step @p307 :rule cong :premises (@p242 @p51) :args ((tptp.divide @t8 tptp.b3))) % 18.72/18.90 (step @p308 :rule symm :premises (@p32)) % 18.72/18.90 (step @p309 :rule cong :premises (@p308 @p279) :args (@t135)) % 18.72/18.90 (step @p310 :rule trans :premises (@p83 @p309 @p307)) % 18.72/18.90 (step @p311 :rule cong :premises (@p310 @p306) :args ((tptp.divide tptp.c3 @t8))) % 18.72/18.90 (step @p312 :rule symm :premises (@p33)) % 18.72/18.90 (step @p313 :rule refl :args (@t42)) % 18.72/18.90 (step @p314 :rule cong :premises (@p156 @p255) :args (@t112)) % 18.72/18.90 (step @p315 :rule trans :premises (@p71 @p153 @p314)) % 18.72/18.90 (step @p316 :rule cong :premises (@p315 @p313) :args (@t43)) % 18.72/18.90 (step @p317 :rule trans :premises (@p316 @p312)) % 18.72/18.90 (step @p318 :rule cong :premises (@p317 @p242) :args (@t138)) % 18.72/18.90 (step @p319 :rule trans :premises (@p318 @p311 @p301 @p77 @p300)) % 18.72/18.90 (step @p320 :rule symm :premises (@p34)) % 18.72/18.90 (step @p321 :rule symm :premises (@p289)) % 18.72/18.90 (step @p322 :rule symm :premises (@p265)) % 18.72/18.90 (step @p323 :rule cong :premises (@p317 @p236) :args (@t139)) % 18.72/18.90 (step @p324 :rule trans :premises (@p323 @p322 @p321 @p320)) % 18.72/18.90 (step @p325 :rule cong :premises (@p324 @p319) :args (@t140)) % 18.72/18.90 (step @p326 :rule trans :premises (@p85 @p325)) % 18.72/18.90 (step @p327 :rule cong :premises (@p326 @p290) :args ((tptp.divide @t8 tptp.c3))) % 18.72/18.90 (step @p328 :rule symm :premises (@p79)) % 18.72/18.90 (step @p329 :rule trans :premises (@p30 @p36)) % 18.72/18.90 (step @p330 :rule trans :premises (@p78 @p254)) % 18.72/18.90 (step @p331 :rule refl :args (@t44)) % 18.72/18.90 (step @p332 :rule cong :premises (@p331 @p330) :args (@t91)) % 18.72/18.90 (step @p333 :rule trans :premises (@p50 @p54 @p332)) % 18.72/18.90 (step @p334 :rule symm :premises (@p207)) % 18.72/18.90 (step @p335 :rule trans :premises (@p177 @p334 @p333)) % 18.72/18.90 (step @p336 :rule cong :premises (@p335 @p329) :args (@t144)) % 18.72/18.90 (step @p337 :rule trans :premises (@p336 @p328)) % 18.72/18.90 (step @p338 :rule cong :premises (@p242 @p337) :args (@t145)) % 18.72/18.90 (step @p339 :rule trans :premises (@p338 @p327 @p245)) % 18.72/18.90 (step @p340 :rule cong :premises (@p339 @p244) :args (@t146)) % 18.72/18.90 (step @p341 :rule trans :premises (@p87 @p340)) % 18.72/18.90 (step @p342 :rule cong :premises (@p198 @p341) :args (@t74)) % 18.72/18.90 (step @p343 :rule trans :premises (@p37 @p342 @p91 @p227 @p145)) % 18.72/18.90 (step-pop @p462 :rule scope :premises (@p343)) % 18.72/18.90 (step-pop @p463 :rule scope :premises (@p462)) % 18.72/18.90 (step-pop @p464 :rule scope :premises (@p463)) % 18.72/18.90 (step-pop @p465 :rule scope :premises (@p464)) % 18.72/18.90 (step-pop @p466 :rule scope :premises (@p465)) % 18.72/18.90 (step-pop @p467 :rule scope :premises (@p466)) % 18.72/18.90 (step-pop @p468 :rule scope :premises (@p467)) % 18.72/18.90 (step-pop @p469 :rule scope :premises (@p468)) % 18.72/18.90 (step-pop @p470 :rule scope :premises (@p469)) % 18.72/18.90 (step-pop @p471 :rule scope :premises (@p470)) % 18.72/18.90 (step-pop @p472 :rule scope :premises (@p471)) % 18.72/18.90 (step-pop @p473 :rule scope :premises (@p472)) % 18.72/18.90 (step-pop @p474 :rule scope :premises (@p473)) % 18.72/18.90 (step-pop @p475 :rule scope :premises (@p474)) % 18.72/18.90 (step-pop @p476 :rule scope :premises (@p475)) % 18.72/18.90 (step-pop @p477 :rule scope :premises (@p476)) % 18.72/18.90 (step-pop @p478 :rule scope :premises (@p477)) % 18.72/18.90 (step-pop @p479 :rule scope :premises (@p478)) % 18.72/18.90 (step-pop @p480 :rule scope :premises (@p479)) % 18.72/18.90 (step-pop @p481 :rule scope :premises (@p480)) % 18.72/18.90 (step-pop @p482 :rule scope :premises (@p481)) % 18.72/18.90 (step-pop @p483 :rule scope :premises (@p482)) % 18.72/18.90 (step-pop @p484 :rule scope :premises (@p483)) % 18.72/18.90 (step-pop @p485 :rule scope :premises (@p484)) % 18.72/18.90 (step-pop @p486 :rule scope :premises (@p485)) % 18.72/18.90 (step-pop @p487 :rule scope :premises (@p486)) % 18.72/18.90 (step-pop @p488 :rule scope :premises (@p487)) % 18.72/18.90 (step-pop @p489 :rule scope :premises (@p488)) % 18.72/18.90 (step-pop @p490 :rule scope :premises (@p489)) % 18.72/18.90 (step-pop @p491 :rule scope :premises (@p490)) % 18.72/18.90 (step-pop @p492 :rule scope :premises (@p491)) % 18.72/18.90 (step-pop @p493 :rule scope :premises (@p492)) % 18.72/18.90 (step-pop @p494 :rule scope :premises (@p493)) % 18.72/18.90 (step-pop @p495 :rule scope :premises (@p494)) % 18.72/18.90 (step-pop @p496 :rule scope :premises (@p495)) % 18.72/18.90 (step-pop @p497 :rule scope :premises (@p496)) % 18.72/18.90 (step-pop @p498 :rule scope :premises (@p497)) % 18.72/18.90 (step-pop @p499 :rule scope :premises (@p498)) % 18.72/18.90 (step-pop @p500 :rule scope :premises (@p499)) % 18.72/18.90 (step-pop @p501 :rule scope :premises (@p500)) % 18.72/18.90 (step-pop @p502 :rule scope :premises (@p501)) % 18.72/18.90 (step-pop @p503 :rule scope :premises (@p502)) % 18.72/18.90 (step-pop @p504 :rule scope :premises (@p503)) % 18.72/18.90 (step-pop @p505 :rule scope :premises (@p504)) % 18.72/18.90 (step-pop @p506 :rule scope :premises (@p505)) % 18.72/18.90 (step-pop @p507 :rule scope :premises (@p506)) % 18.72/18.90 (step-pop @p508 :rule scope :premises (@p507)) % 18.72/18.90 (step-pop @p509 :rule scope :premises (@p508)) % 18.72/18.90 (step-pop @p510 :rule scope :premises (@p509)) % 18.72/18.90 (step-pop @p511 :rule scope :premises (@p510)) % 18.72/18.90 (step-pop @p512 :rule scope :premises (@p511)) % 18.72/18.90 (step-pop @p513 :rule scope :premises (@p512)) % 18.72/18.90 (step @p344 :rule process_scope :premises (@p513) :args (@t12)) % 18.72/18.90 (step @p397 :rule implies_elim :premises (@p344)) % 18.72/18.90 (step @p398 :rule cnf_and_neg :args (@t160)) % 18.72/18.90 (step @p399 :rule resolution :premises (@p398 @p397) :args (true @t160)) % 18.72/18.90 (step @p400 :rule reordering :premises (@p399) :args ((or @t12 (not @t53) (not @t17) (not @t56) (not @t59) (not @t60) (not @t23) (not @t62) (not @t64) (not @t66) (not @t70) (not @t71) (not @t73) (not @t75) (not @t76) (not @t78) (not @t80) (not @t82) (not @t28) (not @t84) (not @t86) (not @t90) (not @t92) (not @t95) (not @t96) (not @t33) (not @t98) (not @t101) (not @t103) (not @t104) (not @t107) (not @t109) (not @t110) (not @t111) (not @t113) (not @t115) (not @t119) (not @t123) (not @t126) (not @t127) (not @t129) (not @t131) (not @t134) (not @t136) (not @t137) (not @t141) (not @t142) (not @t147) (not @t148) (not @t150) (not @t151) (not @t154) (not @t158)))) % 18.72/18.90 (step @p401 false :rule chain_m_resolution :premises (@p400 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p21 @p20 @p19 @p15 @p5 @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 false false true) (@list @t158 @t154 @t151 @t150 @t148 @t147 @t142 @t141 @t137 @t136 @t134 @t131 @t129 @t127 @t126 @t123 @t119 @t115 @t113 @t111 @t110 @t109 @t107 @t104 @t103 @t101 @t98 @t33 @t96 @t95 @t92 @t90 @t86 @t84 @t28 @t82 @t80 @t78 @t76 @t75 @t73 @t71 @t70 @t66 @t64 @t62 @t23 @t60 @t59 @t56 @t17 @t53 @t12))) % 18.72/18.90 ) % 18.72/18.90 % SZS output end Proof % 18.72/18.91 % cvc5 exiting %------------------------------------------------------------------------------