%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP590-1 : 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 : n015.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 08:20:59 AM UTC 2026 % Result : Unsatisfiable 31.97s 32.18s % Output : Proof 27.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GRP590-1 : TPTP v9.2.1. Released v2.6.0. % 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n015.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 01:18:04 EDT 2026 % 0.15/0.33 % CPUTime : % 0.26/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.34/15.52 --- Run --no-e-matching --full-saturate-quant at 6... % 21.35/21.54 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.34/27.56 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 31.97/32.18 % SZS status Unsatisfiable % 31.97/32.18 % SZS output start Proof % 31.97/32.19 ( % 31.97/32.19 (declare-sort $$unsorted 0) % 31.97/32.19 (declare-const tptp.b2 $$unsorted) % 31.97/32.19 (declare-const tptp.a2 $$unsorted) % 31.97/32.19 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 31.97/32.19 (declare-const tptp.double_divide (-> $$unsorted $$unsorted $$unsorted)) % 31.97/32.19 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 31.97/32.19 (define @t1 () (@var "C" $$unsorted)) % 31.97/32.19 (define @t2 () (@var "B" $$unsorted)) % 31.97/32.19 (define @t3 () (@var "A" $$unsorted)) % 31.97/32.19 (define @t4 () (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide @t3 @t2) (tptp.inverse (tptp.double_divide @t3 (tptp.inverse @t1))))) @t2)) % 31.97/32.19 (define @t5 () (forall (@list @t3 @t2 @t1) (= @t4 @t1))) % 31.97/32.19 (define @t6 () (tptp.inverse tptp.b2)) % 31.97/32.19 (define @t7 () (tptp.multiply @t6 tptp.b2)) % 31.97/32.19 (define @t8 () (tptp.multiply @t7 tptp.a2)) % 31.97/32.19 (define @t9 () (tptp.inverse @t7)) % 31.97/32.19 (define @t10 () (tptp.double_divide tptp.b2 @t6)) % 31.97/32.19 (define @t11 () (tptp.inverse @t10)) % 31.97/32.19 (define @t12 () (tptp.double_divide tptp.b2 @t9)) % 31.97/32.19 (define @t13 () (tptp.inverse (tptp.double_divide @t12 @t11))) % 31.97/32.19 (define @t14 () (tptp.double_divide tptp.b2 @t7)) % 31.97/32.19 (define @t15 () (tptp.inverse (tptp.double_divide @t14 @t11))) % 31.97/32.19 (define @t16 () (tptp.inverse @t6)) % 31.97/32.19 (define @t17 () (tptp.double_divide @t7 @t6)) % 31.97/32.19 (define @t18 () (tptp.inverse @t17)) % 31.97/32.19 (define @t19 () (tptp.double_divide @t7 @t16)) % 31.97/32.19 (define @t20 () (tptp.inverse (tptp.double_divide @t19 @t18))) % 31.97/32.19 (define @t21 () (tptp.inverse @t12)) % 31.97/32.19 (define @t22 () (tptp.inverse (tptp.double_divide (tptp.double_divide tptp.b2 @t21) @t11))) % 31.97/32.19 (define @t23 () (tptp.inverse @t21)) % 31.97/32.19 (define @t24 () (tptp.inverse (tptp.double_divide (tptp.double_divide tptp.b2 @t23) @t11))) % 31.97/32.19 (define @t25 () (tptp.inverse tptp.a2)) % 31.97/32.19 (define @t26 () (tptp.inverse (tptp.double_divide tptp.a2 @t6))) % 31.97/32.19 (define @t27 () (tptp.inverse (tptp.double_divide (tptp.double_divide tptp.a2 tptp.a2) @t26))) % 31.97/32.19 (define @t28 () (tptp.double_divide tptp.a2 @t25)) % 31.97/32.19 (define @t29 () (tptp.inverse @t28)) % 31.97/32.19 (define @t30 () (tptp.inverse (tptp.double_divide (tptp.double_divide tptp.a2 @t29) @t26))) % 31.97/32.19 (define @t31 () (tptp.double_divide tptp.b2 tptp.b2)) % 31.97/32.19 (define @t32 () (tptp.inverse @t8)) % 31.97/32.19 (define @t33 () (tptp.double_divide tptp.b2 @t25)) % 31.97/32.19 (define @t34 () (tptp.inverse (tptp.double_divide (tptp.double_divide tptp.b2 @t32) (tptp.inverse @t33)))) % 31.97/32.19 (define @t35 () (tptp.inverse (tptp.double_divide @t33 @t11))) % 31.97/32.19 (define @t36 () (tptp.double_divide @t15 @t7)) % 31.97/32.19 (define @t37 () (= tptp.b2 @t36)) % 31.97/32.19 (define @t38 () (tptp.double_divide tptp.a2 @t7)) % 31.97/32.19 (define @t39 () (tptp.inverse @t38)) % 31.97/32.19 (define @t40 () (= @t8 @t39)) % 31.97/32.19 (define @t41 () (= @t7 @t11)) % 31.97/32.19 (define @t42 () (tptp.double_divide @t13 @t9)) % 31.97/32.19 (define @t43 () (= tptp.b2 @t42)) % 31.97/32.19 (define @t44 () (tptp.double_divide @t42 (tptp.inverse @t42))) % 31.97/32.19 (define @t45 () (= @t7 (tptp.double_divide (tptp.inverse @t44) @t9))) % 31.97/32.19 (define @t46 () (tptp.double_divide @t7 @t9)) % 31.97/32.19 (define @t47 () (tptp.double_divide @t46 @t18)) % 31.97/32.19 (define @t48 () (tptp.inverse @t47)) % 31.97/32.19 (define @t49 () (tptp.double_divide @t48 @t9)) % 31.97/32.19 (define @t50 () (= tptp.b2 @t49)) % 31.97/32.19 (define @t51 () (tptp.double_divide @t7 @t11)) % 31.97/32.19 (define @t52 () (tptp.inverse @t51)) % 31.97/32.19 (define @t53 () (tptp.double_divide @t46 @t52)) % 31.97/32.19 (define @t54 () (tptp.inverse @t53)) % 31.97/32.19 (define @t55 () (tptp.double_divide @t54 @t9)) % 31.97/32.19 (define @t56 () (= @t10 @t55)) % 31.97/32.19 (define @t57 () (tptp.double_divide (tptp.inverse (tptp.double_divide @t36 (tptp.inverse (tptp.double_divide @t15 @t11)))) @t7)) % 31.97/32.19 (define @t58 () (= @t10 @t57)) % 31.97/32.19 (define @t59 () (tptp.double_divide @t6 @t16)) % 31.97/32.19 (define @t60 () (tptp.inverse @t59)) % 31.97/32.19 (define @t61 () (tptp.double_divide @t6 @t7)) % 31.97/32.19 (define @t62 () (tptp.double_divide @t61 @t60)) % 31.97/32.19 (define @t63 () (tptp.inverse @t62)) % 31.97/32.19 (define @t64 () (tptp.double_divide @t63 @t7)) % 31.97/32.19 (define @t65 () (= @t6 @t64)) % 31.97/32.19 (define @t66 () (tptp.inverse @t19)) % 31.97/32.19 (define @t67 () (tptp.double_divide (tptp.inverse (tptp.double_divide @t17 @t66)) @t6)) % 31.97/32.19 (define @t68 () (= @t6 @t67)) % 31.97/32.19 (define @t69 () (tptp.double_divide @t20 @t16)) % 31.97/32.19 (define @t70 () (= tptp.b2 @t69)) % 31.97/32.19 (define @t71 () (tptp.inverse @t69)) % 31.97/32.19 (define @t72 () (tptp.double_divide @t69 @t71)) % 31.97/32.19 (define @t73 () (tptp.inverse @t72)) % 31.97/32.19 (define @t74 () (tptp.double_divide @t73 @t16)) % 31.97/32.19 (define @t75 () (= @t6 @t74)) % 31.97/32.19 (define @t76 () (tptp.double_divide @t22 @t21)) % 31.97/32.19 (define @t77 () (= tptp.b2 @t76)) % 31.97/32.19 (define @t78 () (= @t12 (tptp.double_divide (tptp.inverse (tptp.double_divide @t76 (tptp.inverse @t76))) @t21))) % 31.97/32.19 (define @t79 () (= tptp.b2 (tptp.double_divide (tptp.inverse (tptp.double_divide @t10 @t11)) @t6))) % 31.97/32.19 (define @t80 () (tptp.double_divide @t24 @t23)) % 31.97/32.19 (define @t81 () (= tptp.b2 @t80)) % 31.97/32.19 (define @t82 () (tptp.double_divide (tptp.inverse (tptp.double_divide @t80 (tptp.inverse @t80))) @t23)) % 31.97/32.19 (define @t83 () (= @t21 @t82)) % 31.97/32.19 (define @t84 () (tptp.double_divide @t7 @t23)) % 31.97/32.19 (define @t85 () (tptp.double_divide @t84 @t18)) % 31.97/32.19 (define @t86 () (tptp.inverse @t85)) % 31.97/32.19 (define @t87 () (tptp.double_divide @t86 @t23)) % 31.97/32.19 (define @t88 () (= tptp.b2 @t87)) % 31.97/32.19 (define @t89 () (tptp.double_divide @t17 @t52)) % 31.97/32.19 (define @t90 () (tptp.inverse @t89)) % 31.97/32.19 (define @t91 () (tptp.double_divide @t90 @t6)) % 31.97/32.19 (define @t92 () (= @t10 @t91)) % 31.97/32.19 (define @t93 () (= @t10 (tptp.double_divide (tptp.inverse (tptp.double_divide @t19 @t52)) @t16))) % 31.97/32.19 (define @t94 () (= @t44 @t28)) % 31.97/32.19 (define @t95 () (tptp.double_divide @t27 @t25)) % 31.97/32.19 (define @t96 () (tptp.double_divide (tptp.inverse (tptp.double_divide @t95 (tptp.inverse @t95))) @t25)) % 31.97/32.19 (define @t97 () (= tptp.a2 @t96)) % 31.97/32.19 (define @t98 () (tptp.double_divide @t35 @t25)) % 31.97/32.19 (define @t99 () (= tptp.b2 @t98)) % 31.97/32.19 (define @t100 () (tptp.double_divide @t34 @t32)) % 31.97/32.19 (define @t101 () (= tptp.a2 @t100)) % 31.97/32.19 (define @t102 () (= @t8 (tptp.double_divide (tptp.inverse (tptp.double_divide @t100 (tptp.inverse @t100))) @t32))) % 31.97/32.19 (define @t103 () (= tptp.a2 (tptp.double_divide (tptp.inverse (tptp.double_divide @t98 (tptp.inverse @t98))) @t25))) % 31.97/32.19 (define @t104 () (tptp.double_divide @t7 @t25)) % 31.97/32.19 (define @t105 () (= @t10 (tptp.double_divide (tptp.inverse (tptp.double_divide @t104 @t52)) @t25))) % 31.97/32.19 (define @t106 () (tptp.inverse @t104)) % 31.97/32.19 (define @t107 () (tptp.double_divide @t7 @t32)) % 31.97/32.19 (define @t108 () (tptp.double_divide @t107 @t106)) % 31.97/32.19 (define @t109 () (tptp.inverse @t108)) % 31.97/32.19 (define @t110 () (tptp.double_divide @t109 @t32)) % 31.97/32.19 (define @t111 () (= tptp.a2 @t110)) % 31.97/32.19 (define @t112 () (tptp.inverse @t96)) % 31.97/32.19 (define @t113 () (tptp.double_divide @t96 @t112)) % 31.97/32.19 (define @t114 () (tptp.inverse @t113)) % 31.97/32.19 (define @t115 () (tptp.double_divide @t7 @t7)) % 31.97/32.19 (define @t116 () (tptp.inverse @t107)) % 31.97/32.19 (define @t117 () (tptp.inverse @t67)) % 31.97/32.19 (define @t118 () (tptp.double_divide @t67 @t117)) % 31.97/32.19 (define @t119 () (tptp.inverse @t118)) % 31.97/32.19 (define @t120 () (tptp.double_divide tptp.b2 @t11)) % 31.97/32.19 (define @t121 () (tptp.inverse @t120)) % 31.97/32.19 (define @t122 () (tptp.inverse @t84)) % 31.97/32.19 (define @t123 () (tptp.double_divide @t115 @t122)) % 31.97/32.19 (define @t124 () (tptp.double_divide @t21 @t6)) % 31.97/32.19 (define @t125 () (tptp.double_divide @t7 @t21)) % 31.97/32.19 (define @t126 () (tptp.double_divide @t7 tptp.b2)) % 31.97/32.19 (define @t127 () (tptp.double_divide @t126 @t66)) % 31.97/32.19 (define @t128 () (tptp.double_divide @t14 @t21)) % 31.97/32.19 (define @t129 () (tptp.inverse @t128)) % 31.97/32.19 (define @t130 () (tptp.double_divide @t129 @t25)) % 31.97/32.19 (define @t131 () (= tptp.a2 @t8)) % 31.97/32.19 (define @t132 () (and @t37 @t40 @t41 @t43 @t45 @t50 @t56 @t58 @t65 @t68 @t70 @t75 @t77 @t78 @t79 @t81 @t83 @t88 @t92 @t93 @t94 @t97 @t99 @t101 @t102 @t103 @t105 @t111)) % 31.97/32.19 (define @t133 () (not @t97)) % 31.97/32.19 (define @t134 () (not @t94)) % 31.97/32.19 (define @t135 () (not @t93)) % 31.97/32.19 (define @t136 () (not @t92)) % 31.97/32.19 (define @t137 () (not @t88)) % 31.97/32.19 (define @t138 () (not @t83)) % 31.97/32.19 (define @t139 () (not @t81)) % 31.97/32.19 (define @t140 () (not @t79)) % 31.97/32.19 (define @t141 () (not @t78)) % 31.97/32.19 (define @t142 () (not @t77)) % 31.97/32.19 (define @t143 () (not @t75)) % 31.97/32.19 (define @t144 () (not @t70)) % 31.97/32.19 (define @t145 () (not @t68)) % 31.97/32.19 (define @t146 () (not @t65)) % 31.97/32.19 (define @t147 () (not @t58)) % 31.97/32.19 (define @t148 () (not @t56)) % 31.97/32.19 (define @t149 () (not @t50)) % 31.97/32.19 (define @t150 () (not @t41)) % 31.97/32.19 (define @t151 () (not @t45)) % 31.97/32.19 (define @t152 () (not @t43)) % 31.97/32.19 (define @t153 () (not @t37)) % 31.97/32.19 (define @t154 () (tptp.inverse (tptp.double_divide (tptp.double_divide @t31 @t9) (tptp.inverse (tptp.double_divide @t31 @t25))))) % 31.97/32.19 (define @t155 () (tptp.double_divide @t154 @t11)) % 31.97/32.19 (define @t156 () (tptp.inverse @t155)) % 31.97/32.19 (define @t157 () (tptp.double_divide @t155 @t156)) % 31.97/32.19 (define @t158 () (tptp.inverse @t157)) % 31.97/32.19 (define @t159 () (tptp.double_divide @t158 @t11)) % 31.97/32.19 (define @t160 () (= @t10 @t159)) % 31.97/32.19 (define @t161 () (not @t160)) % 31.97/32.19 (define @t162 () (= @t28 (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide @t129 @t11) (tptp.inverse (tptp.double_divide @t129 @t29)))) @t11))) % 31.97/32.19 (define @t163 () (not @t162)) % 31.97/32.19 (define @t164 () (= tptp.a2 (tptp.double_divide @t154 @t9))) % 31.97/32.19 (define @t165 () (not @t164)) % 31.97/32.19 (define @t166 () (tptp.double_divide @t30 @t29)) % 31.97/32.19 (define @t167 () (tptp.inverse @t166)) % 31.97/32.19 (define @t168 () (tptp.double_divide @t166 @t167)) % 31.97/32.19 (define @t169 () (tptp.inverse @t168)) % 31.97/32.19 (define @t170 () (tptp.double_divide @t169 @t29)) % 31.97/32.19 (define @t171 () (= @t28 @t170)) % 31.97/32.19 (define @t172 () (not @t171)) % 31.97/32.19 (define @t173 () (= tptp.b2 @t166)) % 31.97/32.19 (define @t174 () (not @t173)) % 31.97/32.19 (define @t175 () (and @t161 @t160)) % 31.97/32.19 (assume @p1 @t5) % 31.97/32.19 (assume @p2 (forall (@list @t3 @t2) (= (tptp.multiply @t3 @t2) (tptp.inverse (tptp.double_divide @t2 @t3))))) % 31.97/32.19 (assume @p3 (not (= @t8 tptp.a2))) % 31.97/32.19 (step @p4 :rule eq-symm :args (@t4 @t1)) % 31.97/32.19 (step @p5 :rule cong :premises (@p4) :args (@t5)) % 31.97/32.19 (step @p6 :rule eq_resolve :premises (@p1 @p5)) % 31.97/32.19 (step @p7 :rule instantiate :premises (@p6) :args ((@list tptp.b2 @t7 tptp.b2))) % 31.97/32.19 (step @p8 :rule instantiate :premises (@p6) :args ((@list tptp.b2 @t9 tptp.b2))) % 31.97/32.19 (step @p9 :rule instantiate :premises (@p6) :args ((@list @t13 @t9 @t7))) % 31.97/32.19 (step @p10 :rule instantiate :premises (@p2) :args ((@list @t6 tptp.b2))) % 31.97/32.19 (step @p11 :rule instantiate :premises (@p6) :args ((@list @t7 @t9 tptp.b2))) % 31.97/32.19 (step @p12 :rule instantiate :premises (@p6) :args ((@list @t7 @t9 @t10))) % 31.97/32.19 (step @p13 :rule instantiate :premises (@p6) :args ((@list @t15 @t7 @t10))) % 31.97/32.19 (step @p14 :rule instantiate :premises (@p6) :args ((@list @t6 @t7 @t6))) % 31.97/32.19 (step @p15 :rule instantiate :premises (@p6) :args ((@list @t7 @t6 @t6))) % 31.97/32.19 (step @p16 :rule instantiate :premises (@p6) :args ((@list @t7 @t16 tptp.b2))) % 31.97/32.19 (step @p17 :rule instantiate :premises (@p6) :args ((@list @t20 @t16 @t6))) % 31.97/32.19 (step @p18 :rule instantiate :premises (@p6) :args ((@list tptp.b2 @t21 tptp.b2))) % 31.97/32.19 (step @p19 :rule instantiate :premises (@p6) :args ((@list @t22 @t21 @t12))) % 31.97/32.19 (step @p20 :rule instantiate :premises (@p6) :args ((@list tptp.b2 @t6 tptp.b2))) % 31.97/32.19 (step @p21 :rule instantiate :premises (@p6) :args ((@list tptp.b2 @t23 tptp.b2))) % 31.97/32.19 (step @p22 :rule instantiate :premises (@p6) :args ((@list @t24 @t23 @t21))) % 31.97/32.19 (step @p23 :rule instantiate :premises (@p6) :args ((@list @t7 @t23 tptp.b2))) % 31.97/32.19 (step @p24 :rule instantiate :premises (@p6) :args ((@list @t7 @t6 @t10))) % 31.97/32.19 (step @p25 :rule instantiate :premises (@p6) :args ((@list @t7 @t16 @t10))) % 31.97/32.19 (step @p26 :rule instantiate :premises (@p6) :args ((@list @t27 @t25 tptp.a2))) % 31.97/32.19 (step @p27 :rule instantiate :premises (@p6) :args ((@list tptp.a2 @t29 tptp.b2))) % 31.97/32.19 (step @p28 :rule instantiate :premises (@p6) :args ((@list @t30 @t29 @t28))) % 31.97/32.19 (step @p29 :rule instantiate :premises (@p6) :args ((@list @t31 @t9 tptp.a2))) % 31.97/32.19 (step @p30 :rule symm :premises (@p3)) % 31.97/32.19 (step @p31 :rule instantiate :premises (@p2) :args ((@list @t7 tptp.a2))) % 31.97/32.19 (step @p32 :rule instantiate :premises (@p6) :args ((@list tptp.b2 @t25 tptp.b2))) % 31.97/32.19 (step @p33 :rule instantiate :premises (@p6) :args ((@list tptp.b2 @t32 tptp.a2))) % 31.97/32.19 (step @p34 :rule instantiate :premises (@p6) :args ((@list @t34 @t32 @t8))) % 31.97/32.19 (step @p35 :rule instantiate :premises (@p6) :args ((@list @t35 @t25 tptp.a2))) % 31.97/32.19 (step @p36 :rule instantiate :premises (@p6) :args ((@list @t7 @t25 @t10))) % 31.97/32.19 (step @p37 :rule instantiate :premises (@p6) :args ((@list @t7 @t32 tptp.a2))) % 31.97/32.19 (assume-push @p577 @t37) % 31.97/32.19 (assume-push @p578 @t40) % 31.97/32.19 (assume-push @p579 @t41) % 31.97/32.19 (assume-push @p580 @t43) % 31.97/32.19 (assume-push @p581 @t45) % 31.97/32.19 (assume-push @p582 @t50) % 31.97/32.19 (assume-push @p583 @t56) % 31.97/32.19 (assume-push @p584 @t58) % 31.97/32.19 (assume-push @p585 @t65) % 31.97/32.19 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cong :premises (@p161 @p162) :args (@t72)) % 31.97/32.19 (step @p164 :rule cong :premises (@p163) :args (@t73)) % 31.97/32.19 (step @p165 :rule trans :premises (@p164 @p113 @p9 @p139 @p138 @p13 @p137)) % 31.97/32.19 (step @p166 :rule trans :premises (@p165 @p157)) % 31.97/32.19 (step @p167 :rule cong :premises (@p166 @p159) :args (@t74)) % 31.97/32.19 (step @p168 :rule trans :premises (@p17 @p167)) % 31.97/32.19 (step @p169 :rule cong :premises (@p168 @p160) :args (@t61)) % 31.97/32.19 (step @p170 :rule trans :premises (@p9 @p139 @p138)) % 31.97/32.19 (step @p171 :rule cong :premises (@p170) :args (@t9)) % 31.97/32.19 (step @p172 :rule trans :premises (@p171 @p113)) % 31.97/32.19 (step @p185 :rule cong :premises (@p184) :args (@t18)) % 31.97/32.19 (step @p186 :rule cong :premises (@p129 @p185) :args (@t47)) % 31.97/32.19 (step @p187 :rule trans :premises (@p186 @p183 @p173)) % 31.97/32.19 (step @p188 :rule cong :premises (@p187) :args (@t48)) % 31.97/32.19 (step @p189 :rule cong :premises (@p188 @p172) :args (@t49)) % 31.97/32.19 (step @p190 :rule trans :premises (@p11 @p189 @p169)) % 31.97/32.19 (step @p191 :rule cong :premises (@p190) :args (@t6)) % 31.97/32.19 (step @p192 :rule cong :premises (@p191 @p159) :args (@t59)) % 31.97/32.19 (step @p196 :rule symm :premises (@p15)) % 31.97/32.19 (step @p197 :rule cong :premises (@p196) :args (@t117)) % 31.97/32.19 (step @p198 :rule cong :premises (@p196 @p197) :args (@t118)) % 31.97/32.19 (step @p463 :rule trans :premises (@p198 @p192 @p158)) % 31.97/32.19 (step @p464 :rule cong :premises (@p463) :args (@t119)) % 31.97/32.19 (step @p200 :rule symm :premises (@p198)) % 31.97/32.19 (step @p465 :rule cong :premises (@p200) :args (@t60)) % 31.97/32.19 (step @p466 :rule trans :premises (@p465 @p464 @p113)) % 31.97/32.19 (step @p467 :rule symm :premises (@p11)) % 31.97/32.19 (step @p468 :rule symm :premises (@p189)) % 31.97/32.19 (step @p469 :rule trans :premises (@p468 @p467)) % 31.97/32.19 (step @p470 :rule cong :premises (@p469 @p466) :args (@t62)) % 31.97/32.19 (step @p471 :rule trans :premises (@p470 @p211)) % 31.97/32.19 (step @p472 :rule cong :premises (@p471) :args (@t63)) % 31.97/32.19 (step @p473 :rule trans :premises (@p472 @p447 @p22 @p462 @p460 @p448)) % 31.97/32.19 (step @p474 :rule cong :premises (@p473 @p115) :args (@t64)) % 31.97/32.19 (step @p475 :rule trans :premises (@p14 @p474 @p211)) % 31.97/32.19 (step @p476 :rule cong :premises (@p475) :args (@t16)) % 31.97/32.19 (step @p193 :rule symm :premises (@p168)) % 31.97/32.19 (step @p194 :rule cong :premises (@p193) :args (@t66)) % 31.97/32.19 (step @p477 :rule trans :premises (@p194 @p476 @p447)) % 31.97/32.19 (step @p212 :rule cong :premises (@p207 @p172) :args (@t12)) % 31.97/32.19 (step @p242 :rule symm :premises (@p19)) % 31.97/32.19 (step @p243 :rule refl :args (@t21)) % 31.97/32.19 (step @p244 :rule cong :premises (@p18) :args (@t6)) % 31.97/32.19 (step @p245 :rule cong :premises (@p18 @p244) :args (@t10)) % 31.97/32.19 (step @p246 :rule cong :premises (@p245) :args (@t11)) % 31.97/32.19 (step @p247 :rule trans :premises (@p123 @p114 @p12 @p135 @p109 @p10 @p246)) % 31.97/32.19 (step @p248 :rule trans :premises (@p140 @p247)) % 31.97/32.19 (step @p249 :rule cong :premises (@p248 @p243) :args (@t125)) % 31.97/32.19 (step @p225 :rule cong :premises (@p220 @p224) :args (@t123)) % 31.97/32.19 (step @p227 :rule symm :premises (@p24)) % 31.97/32.19 (step @p229 :rule cong :premises (@p228 @p160) :args (@t14)) % 31.97/32.19 (step @p230 :rule trans :premises (@p208 @p229)) % 31.97/32.19 (step @p231 :rule cong :premises (@p230) :args (@t121)) % 31.97/32.19 (step @p213 :rule trans :premises (@p212 @p211)) % 31.97/32.19 (step @p214 :rule cong :premises (@p213) :args (@t21)) % 31.97/32.19 (step @p232 :rule trans :premises (@p214 @p231)) % 31.97/32.19 (step @p233 :rule cong :premises (@p232 @p174) :args (@t124)) % 31.97/32.19 (step @p234 :rule cong :premises (@p223 @p185) :args (@t85)) % 31.97/32.19 (step @p235 :rule trans :premises (@p234 @p233 @p227)) % 31.97/32.19 (step @p236 :rule cong :premises (@p235) :args (@t86)) % 31.97/32.19 (step @p237 :rule trans :premises (@p236 @p113 @p9 @p139 @p138 @p13 @p137)) % 31.97/32.19 (step @p238 :rule cong :premises (@p237 @p226) :args (@t87)) % 31.97/32.19 (step @p250 :rule trans :premises (@p23 @p238 @p225 @p215)) % 31.97/32.19 (step @p251 :rule cong :premises (@p115 @p250) :args (@t126)) % 31.97/32.19 (step @p252 :rule trans :premises (@p251 @p249 @p242 @p212)) % 31.97/32.19 (step @p478 :rule cong :premises (@p252 @p477) :args (@t127)) % 31.97/32.19 (step @p255 :rule symm :premises (@p194)) % 31.97/32.19 (step @p258 :rule symm :premises (@p252)) % 31.97/32.19 (step @p479 :rule trans :premises (@p475 @p208 @p258)) % 31.97/32.19 (step @p480 :rule cong :premises (@p479 @p255) :args (@t59)) % 31.97/32.19 (step @p201 :rule symm :premises (@p192)) % 31.97/32.19 (step @p481 :rule trans :premises (@p25 @p201 @p480 @p478)) % 31.97/32.19 (step @p482 :rule cong :premises (@p481) :args (@t11)) % 31.97/32.19 (step @p483 :rule trans :premises (@p123 @p114 @p12 @p135 @p109 @p10 @p482)) % 31.97/32.19 (step @p484 :rule symm :premises (@p27)) % 31.97/32.19 (step @p485 :rule cong :premises (@p484) :args (@t167)) % 31.97/32.19 (step @p486 :rule cong :premises (@p484 @p485) :args (@t168)) % 31.97/32.19 (step @p487 :rule cong :premises (@p486) :args (@t169)) % 31.97/32.19 (step @p488 :rule trans :premises (@p487 @p113 @p9 @p139 @p138 @p13 @p137)) % 31.97/32.19 (step @p489 :rule trans :premises (@p488 @p483)) % 31.97/32.19 (step @p490 :rule cong :premises (@p489 @p441) :args (@t170)) % 31.97/32.19 (step @p491 :rule trans :premises (@p28 @p490)) % 31.97/32.19 (step @p492 :rule cong :premises (@p491) :args (@t29)) % 31.97/32.19 (step @p493 :rule trans :premises (@p176 @p140 @p483)) % 31.97/32.19 (step @p494 :rule cong :premises (@p493 @p10) :args (@t57)) % 31.97/32.19 (step @p495 :rule trans :premises (@p123 @p494)) % 31.97/32.19 (step @p496 :rule trans :premises (@p488 @p495)) % 31.97/32.19 (step @p497 :rule cong :premises (@p496 @p492) :args (@t170)) % 31.97/32.19 (step @p498 :rule trans :premises (@p28 @p497)) % 31.97/32.19 (step @p499 :rule cong :premises (@p498) :args (@t29)) % 31.97/32.19 (step @p99 :rule symm :premises (@p26)) % 31.97/32.19 (step @p100 :rule cong :premises (@p99) :args (@t112)) % 31.97/32.19 (step @p101 :rule cong :premises (@p99 @p100) :args (@t113)) % 31.97/32.19 (step @p102 :rule cong :premises (@p101) :args (@t114)) % 31.97/32.19 (step @p500 :rule trans :premises (@p102 @p499)) % 31.97/32.19 (step @p104 :rule symm :premises (@p102)) % 31.97/32.19 (step @p501 :rule symm :premises (@p29)) % 31.97/32.19 (step @p502 :rule refl :args (@t154)) % 31.97/32.19 (step @p503 :rule cong :premises (@p502 @p443) :args (@t155)) % 31.97/32.19 (step @p504 :rule trans :premises (@p503 @p501)) % 31.97/32.19 (step @p505 :rule cong :premises (@p504) :args (@t156)) % 31.97/32.19 (step @p506 :rule cong :premises (@p504 @p505) :args (@t157)) % 31.97/32.19 (step @p507 :rule cong :premises (@p506) :args (@t158)) % 31.97/32.19 (step @p508 :rule trans :premises (@p507 @p104)) % 31.97/32.19 (step @p509 :rule trans :premises (@p508 @p500)) % 31.97/32.19 (step @p510 :rule cong :premises (@p509 @p440) :args (@t159)) % 31.97/32.19 (step @p511 :rule trans :premises (@p510 @p439)) % 31.97/32.19 (step @p512 :rule cong :premises (@p106 @p511) :args (@t160)) % 31.97/32.19 (step @p513 :rule trans :premises (@p512 @p438)) % 31.97/32.19 (step @p514 :rule false_elim :premises (@p513)) % 31.97/32.19 (step-pop @p744 :rule scope :premises (@p514)) % 31.97/32.19 (step-pop @p745 :rule scope :premises (@p744)) % 31.97/32.19 (step-pop @p746 :rule scope :premises (@p745)) % 31.97/32.19 (step-pop @p747 :rule scope :premises (@p746)) % 31.97/32.19 (step-pop @p748 :rule scope :premises (@p747)) % 31.97/32.19 (step-pop @p749 :rule scope :premises (@p748)) % 31.97/32.19 (step-pop @p750 :rule scope :premises (@p749)) % 31.97/32.19 (step-pop @p751 :rule scope :premises (@p750)) % 31.97/32.19 (step-pop @p752 :rule scope :premises (@p751)) % 31.97/32.19 (step-pop @p753 :rule scope :premises (@p752)) % 31.97/32.19 (step-pop @p754 :rule scope :premises (@p753)) % 31.97/32.19 (step-pop @p755 :rule scope :premises (@p754)) % 31.97/32.19 (step-pop @p756 :rule scope :premises (@p755)) % 31.97/32.19 (step-pop @p757 :rule scope :premises (@p756)) % 31.97/32.19 (step-pop @p758 :rule scope :premises (@p757)) % 31.97/32.19 (step-pop @p759 :rule scope :premises (@p758)) % 31.97/32.19 (step-pop @p760 :rule scope :premises (@p759)) % 31.97/32.19 (step-pop @p761 :rule scope :premises (@p760)) % 31.97/32.19 (step-pop @p762 :rule scope :premises (@p761)) % 31.97/32.19 (step-pop @p763 :rule scope :premises (@p762)) % 31.97/32.19 (step-pop @p764 :rule scope :premises (@p763)) % 31.97/32.19 (step-pop @p765 :rule scope :premises (@p764)) % 31.97/32.19 (step-pop @p766 :rule scope :premises (@p765)) % 31.97/32.19 (step-pop @p767 :rule scope :premises (@p766)) % 31.97/32.19 (step-pop @p768 :rule scope :premises (@p767)) % 31.97/32.19 (step @p515 :rule process_scope :premises (@p768) :args (@t161)) % 31.97/32.19 (step @p541 :rule and_intro :premises (@p8 @p712 @p347 @p10 @p12 @p9 @p7 @p13 @p19 @p18 @p22 @p21 @p24 @p20 @p23 @p11 @p25 @p16 @p17 @p15 @p14 @p27 @p28 @p26 @p29)) % 31.97/32.19 (step @p542 :rule modus_ponens :premises (@p541 @p515)) % 31.97/32.19 (step @p543 :rule and_intro :premises (@p542 @p348)) % 31.97/32.19 (step-pop @p769 :rule scope :premises (@p543)) % 31.97/32.19 (step-pop @p770 :rule scope :premises (@p769)) % 31.97/32.19 (step-pop @p771 :rule scope :premises (@p770)) % 31.97/32.19 (step-pop @p772 :rule scope :premises (@p771)) % 31.97/32.19 (step-pop @p773 :rule scope :premises (@p772)) % 31.97/32.19 (step-pop @p774 :rule scope :premises (@p773)) % 31.97/32.19 (step-pop @p775 :rule scope :premises (@p774)) % 31.97/32.19 (step-pop @p776 :rule scope :premises (@p775)) % 31.97/32.19 (step-pop @p777 :rule scope :premises (@p776)) % 31.97/32.19 (step-pop @p778 :rule scope :premises (@p777)) % 31.97/32.19 (step-pop @p779 :rule scope :premises (@p778)) % 31.97/32.19 (step-pop @p780 :rule scope :premises (@p779)) % 31.97/32.19 (step-pop @p781 :rule scope :premises (@p780)) % 31.97/32.19 (step-pop @p782 :rule scope :premises (@p781)) % 31.97/32.19 (step-pop @p783 :rule scope :premises (@p782)) % 31.97/32.19 (step-pop @p784 :rule scope :premises (@p783)) % 31.97/32.19 (step-pop @p785 :rule scope :premises (@p784)) % 31.97/32.19 (step-pop @p786 :rule scope :premises (@p785)) % 31.97/32.19 (step-pop @p787 :rule scope :premises (@p786)) % 31.97/32.19 (step-pop @p788 :rule scope :premises (@p787)) % 31.97/32.19 (step-pop @p789 :rule scope :premises (@p788)) % 31.97/32.19 (step-pop @p790 :rule scope :premises (@p789)) % 31.97/32.19 (step-pop @p791 :rule scope :premises (@p790)) % 31.97/32.19 (step-pop @p792 :rule scope :premises (@p791)) % 31.97/32.19 (step-pop @p793 :rule scope :premises (@p792)) % 31.97/32.19 (step-pop @p794 :rule scope :premises (@p793)) % 31.97/32.19 (step @p544 :rule process_scope :premises (@p794) :args (@t175)) % 31.97/32.19 (step @p571 :rule implies_elim :premises (@p544)) % 31.97/32.19 (step @p572 :rule resolution :premises (@p571 @p384) :args (true @t175)) % 31.97/32.19 (step @p573 :rule not_and :premises (@p572)) % 31.97/32.19 (step @p574 :rule eq_resolve :premises (@p573 @p375)) % 31.97/32.19 (step @p575 :rule reordering :premises (@p574) :args ((or @t153 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t145 @t144 @t143 @t142 @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t94 @t133 @t174 @t172 @t165 @t163 @t161))) % 31.97/32.19 (step @p576 false :rule chain_m_resolution :premises (@p575 @p348 @p347 @p346 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p13 @p12 @p11 @p10 @p9 @p8 @p7) :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 @t160 @t162 @t94 @t164 @t171 @t173 @t97 @t93 @t92 @t88 @t83 @t81 @t79 @t78 @t77 @t75 @t70 @t68 @t65 @t58 @t56 @t50 @t41 @t45 @t43 @t37))) % 31.97/32.19 ) % 27.42/32.20 % SZS output end Proof % 27.42/32.20 % cvc5 exiting %------------------------------------------------------------------------------