%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP181-3 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:20:07 AM UTC 2026 % Result : Unsatisfiable 161.71s 161.99s % Output : Proof 161.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP181-3 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n003.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 00:54:29 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/16.05 --- Run --no-e-matching --full-saturate-quant at 6... % 21.85/22.07 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.87/28.10 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.97/34.16 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.44/64.69 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.75/79.90 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 79.75/113.43 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 128.42/128.64 --- Run --prenex-quant=none --full-saturate-quant at 30... % 128.46/159.16 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 161.71/161.99 % SZS status Unsatisfiable % 161.71/161.99 % SZS output start Proof % 161.71/162.01 ( % 161.71/162.01 (declare-sort $$unsorted 0) % 161.71/162.01 (declare-const tptp.a $$unsorted) % 161.71/162.01 (declare-const tptp.b $$unsorted) % 161.71/162.01 (declare-const tptp.c $$unsorted) % 161.71/162.01 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 161.71/162.01 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 161.71/162.01 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 161.71/162.01 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 161.71/162.01 (declare-const tptp.identity $$unsorted) % 161.71/162.01 (define @t1 () (@var "X" $$unsorted)) % 161.71/162.01 (define @t2 () (tptp.multiply tptp.identity @t1)) % 161.71/162.01 (define @t3 () (@list @t1)) % 161.71/162.01 (define @t4 () (forall @t3 (= @t2 @t1))) % 161.71/162.01 (define @t5 () (tptp.inverse @t1)) % 161.71/162.01 (define @t6 () (tptp.multiply @t5 @t1)) % 161.71/162.01 (define @t7 () (forall @t3 (= @t6 tptp.identity))) % 161.71/162.01 (define @t8 () (@var "Z" $$unsorted)) % 161.71/162.01 (define @t9 () (@var "Y" $$unsorted)) % 161.71/162.01 (define @t10 () (tptp.multiply @t1 @t9)) % 161.71/162.01 (define @t11 () (@list @t1 @t9 @t8)) % 161.71/162.01 (define @t12 () (tptp.greatest_lower_bound @t1 @t9)) % 161.71/162.01 (define @t13 () (@list @t1 @t9)) % 161.71/162.01 (define @t14 () (tptp.least_upper_bound @t1 @t9)) % 161.71/162.01 (define @t15 () (tptp.greatest_lower_bound @t9 @t8)) % 161.71/162.01 (define @t16 () (tptp.least_upper_bound @t9 @t8)) % 161.71/162.01 (define @t17 () (tptp.least_upper_bound @t1 @t12)) % 161.71/162.01 (define @t18 () (forall @t13 (= @t17 @t1))) % 161.71/162.01 (define @t19 () (tptp.greatest_lower_bound @t1 @t14)) % 161.71/162.01 (define @t20 () (forall @t13 (= @t19 @t1))) % 161.71/162.01 (define @t21 () (tptp.multiply @t1 @t8)) % 161.71/162.01 (define @t22 () (tptp.multiply @t8 @t1)) % 161.71/162.01 (define @t23 () (tptp.multiply @t9 @t1)) % 161.71/162.01 (define @t24 () (@list @t9 @t8 @t1)) % 161.71/162.01 (define @t25 () (tptp.greatest_lower_bound tptp.b tptp.c)) % 161.71/162.01 (define @t26 () (tptp.greatest_lower_bound tptp.a tptp.c)) % 161.71/162.01 (define @t27 () (= @t26 @t25)) % 161.71/162.01 (define @t28 () (tptp.least_upper_bound tptp.b tptp.c)) % 161.71/162.01 (define @t29 () (tptp.least_upper_bound tptp.a tptp.c)) % 161.71/162.01 (define @t30 () (= @t29 @t28)) % 161.71/162.01 (define @t31 () (tptp.inverse @t9)) % 161.71/162.01 (define @t32 () (= tptp.a tptp.b)) % 161.71/162.01 (define @t33 () (@list tptp.a tptp.c)) % 161.71/162.01 (define @t34 () (@list tptp.b tptp.c)) % 161.71/162.01 (define @t35 () (@list tptp.a)) % 161.71/162.01 (define @t36 () (@list tptp.b)) % 161.71/162.01 (define @t37 () (@list @t26)) % 161.71/162.01 (define @t38 () (@list @t29)) % 161.71/162.01 (define @t39 () (tptp.inverse tptp.c)) % 161.71/162.01 (define @t40 () (tptp.inverse tptp.a)) % 161.71/162.01 (define @t41 () (@list @t40 @t39)) % 161.71/162.01 (define @t42 () (tptp.inverse tptp.b)) % 161.71/162.01 (define @t43 () (@list @t42 @t39)) % 161.71/162.01 (define @t44 () (tptp.greatest_lower_bound @t42 @t39)) % 161.71/162.01 (define @t45 () (tptp.least_upper_bound @t42 @t39)) % 161.71/162.01 (define @t46 () (tptp.multiply @t42 @t29)) % 161.71/162.01 (define @t47 () (tptp.multiply @t39 @t29)) % 161.71/162.01 (define @t48 () (tptp.multiply @t42 @t26)) % 161.71/162.01 (define @t49 () (tptp.multiply @t39 @t26)) % 161.71/162.01 (define @t50 () (tptp.inverse @t42)) % 161.71/162.01 (define @t51 () (@list @t39 tptp.a tptp.c)) % 161.71/162.01 (define @t52 () (@list @t39 @t40 tptp.a)) % 161.71/162.01 (define @t53 () (tptp.multiply @t42 tptp.a)) % 161.71/162.01 (define @t54 () (tptp.multiply @t42 tptp.b)) % 161.71/162.01 (define @t55 () (@list @t50 @t54 @t53)) % 161.71/162.01 (define @t56 () (tptp.multiply @t45 tptp.a)) % 161.71/162.01 (define @t57 () (tptp.multiply @t44 tptp.a)) % 161.71/162.01 (define @t58 () (tptp.least_upper_bound tptp.a @t26)) % 161.71/162.01 (define @t59 () (= tptp.a @t58)) % 161.71/162.01 (define @t60 () (tptp.greatest_lower_bound tptp.a @t29)) % 161.71/162.01 (define @t61 () (= tptp.a @t60)) % 161.71/162.01 (define @t62 () (tptp.least_upper_bound @t40 @t39)) % 161.71/162.01 (define @t63 () (tptp.inverse @t26)) % 161.71/162.01 (define @t64 () (= @t63 @t62)) % 161.71/162.01 (define @t65 () (tptp.inverse @t25)) % 161.71/162.01 (define @t66 () (= @t65 @t45)) % 161.71/162.01 (define @t67 () (tptp.greatest_lower_bound @t40 @t39)) % 161.71/162.01 (define @t68 () (tptp.inverse @t29)) % 161.71/162.01 (define @t69 () (= @t68 @t67)) % 161.71/162.01 (define @t70 () (tptp.inverse @t28)) % 161.71/162.01 (define @t71 () (= @t70 @t44)) % 161.71/162.01 (define @t72 () (tptp.multiply @t40 tptp.a)) % 161.71/162.01 (define @t73 () (= tptp.identity @t72)) % 161.71/162.01 (define @t74 () (tptp.multiply @t39 tptp.c)) % 161.71/162.01 (define @t75 () (= tptp.identity @t74)) % 161.71/162.01 (define @t76 () (= tptp.identity @t54)) % 161.71/162.01 (define @t77 () (= tptp.identity (tptp.multiply @t63 @t26))) % 161.71/162.01 (define @t78 () (= tptp.identity (tptp.multiply @t68 @t29))) % 161.71/162.01 (define @t79 () (tptp.greatest_lower_bound @t29 tptp.a)) % 161.71/162.01 (define @t80 () (= @t60 @t79)) % 161.71/162.01 (define @t81 () (tptp.greatest_lower_bound @t39 @t40)) % 161.71/162.01 (define @t82 () (= @t67 @t81)) % 161.71/162.01 (define @t83 () (tptp.greatest_lower_bound @t39 @t42)) % 161.71/162.01 (define @t84 () (= @t44 @t83)) % 161.71/162.01 (define @t85 () (tptp.least_upper_bound @t26 tptp.a)) % 161.71/162.01 (define @t86 () (= @t58 @t85)) % 161.71/162.01 (define @t87 () (tptp.least_upper_bound @t39 @t40)) % 161.71/162.01 (define @t88 () (= @t62 @t87)) % 161.71/162.01 (define @t89 () (tptp.least_upper_bound @t39 @t42)) % 161.71/162.01 (define @t90 () (= @t45 @t89)) % 161.71/162.01 (define @t91 () (tptp.least_upper_bound @t42 @t44)) % 161.71/162.01 (define @t92 () (= @t42 @t91)) % 161.71/162.01 (define @t93 () (tptp.greatest_lower_bound @t42 @t45)) % 161.71/162.01 (define @t94 () (= @t42 @t93)) % 161.71/162.01 (define @t95 () (= tptp.a (tptp.multiply tptp.identity tptp.a))) % 161.71/162.01 (define @t96 () (tptp.least_upper_bound @t44 @t42)) % 161.71/162.01 (define @t97 () (= @t91 @t96)) % 161.71/162.01 (define @t98 () (tptp.greatest_lower_bound @t45 @t42)) % 161.71/162.01 (define @t99 () (= @t93 @t98)) % 161.71/162.01 (define @t100 () (tptp.multiply @t50 @t42)) % 161.71/162.01 (define @t101 () (= tptp.identity @t100)) % 161.71/162.01 (define @t102 () (tptp.least_upper_bound @t49 @t48)) % 161.71/162.01 (define @t103 () (tptp.multiply @t89 @t26)) % 161.71/162.01 (define @t104 () (= @t103 @t102)) % 161.71/162.01 (define @t105 () (tptp.greatest_lower_bound @t47 @t46)) % 161.71/162.01 (define @t106 () (tptp.multiply @t83 @t29)) % 161.71/162.01 (define @t107 () (= @t106 @t105)) % 161.71/162.01 (define @t108 () (= tptp.b (tptp.multiply tptp.identity tptp.b))) % 161.71/162.01 (define @t109 () (tptp.multiply tptp.identity @t26)) % 161.71/162.01 (define @t110 () (= @t26 @t109)) % 161.71/162.01 (define @t111 () (tptp.multiply tptp.identity @t29)) % 161.71/162.01 (define @t112 () (= @t29 @t111)) % 161.71/162.01 (define @t113 () (= @t105 (tptp.greatest_lower_bound @t46 @t47))) % 161.71/162.01 (define @t114 () (= @t102 (tptp.least_upper_bound @t48 @t49))) % 161.71/162.01 (define @t115 () (tptp.multiply @t50 @t53)) % 161.71/162.01 (define @t116 () (tptp.multiply @t100 tptp.a)) % 161.71/162.01 (define @t117 () (= @t116 @t115)) % 161.71/162.01 (define @t118 () (tptp.multiply @t50 @t48)) % 161.71/162.01 (define @t119 () (= (tptp.multiply @t100 @t26) @t118)) % 161.71/162.01 (define @t120 () (tptp.multiply @t50 @t46)) % 161.71/162.01 (define @t121 () (= (tptp.multiply @t100 @t29) @t120)) % 161.71/162.01 (define @t122 () (tptp.multiply @t50 @t54)) % 161.71/162.01 (define @t123 () (tptp.multiply @t100 tptp.b)) % 161.71/162.01 (define @t124 () (= @t123 @t122)) % 161.71/162.01 (define @t125 () (tptp.multiply @t39 tptp.a)) % 161.71/162.01 (define @t126 () (= @t47 (tptp.least_upper_bound @t125 @t74))) % 161.71/162.01 (define @t127 () (= @t49 (tptp.greatest_lower_bound @t125 @t74))) % 161.71/162.01 (define @t128 () (tptp.least_upper_bound @t125 @t72)) % 161.71/162.01 (define @t129 () (= (tptp.multiply @t87 tptp.a) @t128)) % 161.71/162.01 (define @t130 () (tptp.greatest_lower_bound @t125 @t72)) % 161.71/162.01 (define @t131 () (= (tptp.multiply @t81 tptp.a) @t130)) % 161.71/162.01 (define @t132 () (tptp.least_upper_bound @t57 @t53)) % 161.71/162.01 (define @t133 () (= (tptp.multiply @t96 tptp.a) @t132)) % 161.71/162.01 (define @t134 () (tptp.greatest_lower_bound @t56 @t53)) % 161.71/162.01 (define @t135 () (= (tptp.multiply @t98 tptp.a) @t134)) % 161.71/162.01 (define @t136 () (tptp.greatest_lower_bound @t46 @t53)) % 161.71/162.01 (define @t137 () (tptp.multiply @t50 @t136)) % 161.71/162.01 (define @t138 () (= @t137 (tptp.greatest_lower_bound @t120 @t115))) % 161.71/162.01 (define @t139 () (tptp.greatest_lower_bound @t122 @t115)) % 161.71/162.01 (define @t140 () (= (tptp.multiply @t50 (tptp.greatest_lower_bound @t54 @t53)) @t139)) % 161.71/162.01 (define @t141 () (tptp.least_upper_bound @t48 @t53)) % 161.71/162.01 (define @t142 () (tptp.multiply @t50 @t141)) % 161.71/162.01 (define @t143 () (= @t142 (tptp.least_upper_bound @t118 @t115))) % 161.71/162.01 (define @t144 () (tptp.least_upper_bound @t122 @t115)) % 161.71/162.01 (define @t145 () (= (tptp.multiply @t50 (tptp.least_upper_bound @t54 @t53)) @t144)) % 161.71/162.01 (define @t146 () (= tptp.b (tptp.least_upper_bound tptp.b (tptp.greatest_lower_bound tptp.b tptp.a)))) % 161.71/162.01 (define @t147 () (tptp.greatest_lower_bound @t46 @t56)) % 161.71/162.01 (define @t148 () (tptp.greatest_lower_bound @t147 @t53)) % 161.71/162.01 (define @t149 () (= (tptp.greatest_lower_bound @t46 @t134) @t148)) % 161.71/162.01 (define @t150 () (tptp.least_upper_bound @t48 @t57)) % 161.71/162.01 (define @t151 () (tptp.least_upper_bound @t150 @t53)) % 161.71/162.01 (define @t152 () (= (tptp.least_upper_bound @t48 @t132) @t151)) % 161.71/162.01 (define @t153 () (tptp.multiply @t45 @t25)) % 161.71/162.01 (define @t154 () (tptp.multiply @t44 @t28)) % 161.71/162.01 (define @t155 () (and @t27 @t30 @t59 @t61 @t64 @t66 @t69 @t71 @t73 @t75 @t76 @t77 @t78 @t80 @t82 @t84 @t86 @t88 @t90 @t92 @t94 @t95 @t97 @t99 @t101 @t104 @t107 @t108 @t110 @t112 @t113 @t114 @t117 @t119 @t121 @t124 @t126 @t127 @t129 @t131 @t133 @t135 @t138 @t140 @t143 @t145 @t146 @t149 @t152)) % 161.71/162.01 (assume @p1 @t4) % 161.71/162.01 (assume @p2 @t7) % 161.71/162.01 (assume @p3 (forall @t11 (= (tptp.multiply @t10 @t8) (tptp.multiply @t1 (tptp.multiply @t9 @t8))))) % 161.71/162.01 (assume @p4 (forall @t13 (= @t12 (tptp.greatest_lower_bound @t9 @t1)))) % 161.71/162.01 (assume @p5 (forall @t13 (= @t14 (tptp.least_upper_bound @t9 @t1)))) % 161.71/162.01 (assume @p6 (forall @t11 (= (tptp.greatest_lower_bound @t1 @t15) (tptp.greatest_lower_bound @t12 @t8)))) % 161.71/162.01 (assume @p7 (forall @t11 (= (tptp.least_upper_bound @t1 @t16) (tptp.least_upper_bound @t14 @t8)))) % 161.71/162.01 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 161.71/162.01 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 161.71/162.01 (assume @p10 @t18) % 161.71/162.01 (assume @p11 @t20) % 161.71/162.01 (assume @p12 (forall @t11 (= (tptp.multiply @t1 @t16) (tptp.least_upper_bound @t10 @t21)))) % 161.71/162.01 (assume @p13 (forall @t11 (= (tptp.multiply @t1 @t15) (tptp.greatest_lower_bound @t10 @t21)))) % 161.71/162.01 (assume @p14 (forall @t24 (= (tptp.multiply @t16 @t1) (tptp.least_upper_bound @t23 @t22)))) % 161.71/162.01 (assume @p15 (forall @t24 (= (tptp.multiply @t15 @t1) (tptp.greatest_lower_bound @t23 @t22)))) % 161.71/162.01 (assume @p16 @t27) % 161.71/162.01 (assume @p17 @t30) % 161.71/162.01 (assume @p18 (forall @t13 (= (tptp.inverse @t12) (tptp.least_upper_bound @t5 @t31)))) % 161.71/162.01 (assume @p19 (forall @t13 (= (tptp.inverse @t14) (tptp.greatest_lower_bound @t5 @t31)))) % 161.71/162.01 (assume @p20 (not @t32)) % 161.71/162.01 (step @p21 :rule eq-symm :args (@t17 @t1)) % 161.71/162.01 (step @p22 :rule cong :premises (@p21) :args (@t18)) % 161.71/162.01 (step @p23 :rule eq_resolve :premises (@p10 @p22)) % 161.71/162.01 (step @p24 :rule instantiate :premises (@p23) :args (@t33)) % 161.71/162.01 (step @p25 :rule eq-symm :args (@t19 @t1)) % 161.71/162.01 (step @p26 :rule cong :premises (@p25) :args (@t20)) % 161.71/162.01 (step @p27 :rule eq_resolve :premises (@p11 @p26)) % 161.71/162.01 (step @p28 :rule instantiate :premises (@p27) :args (@t33)) % 161.71/162.01 (step @p29 :rule instantiate :premises (@p18) :args (@t33)) % 161.71/162.01 (step @p30 :rule instantiate :premises (@p18) :args (@t34)) % 161.71/162.01 (step @p31 :rule instantiate :premises (@p19) :args (@t33)) % 161.71/162.01 (step @p32 :rule instantiate :premises (@p19) :args (@t34)) % 161.71/162.01 (step @p33 :rule eq-symm :args (@t6 tptp.identity)) % 161.71/162.01 (step @p34 :rule cong :premises (@p33) :args (@t7)) % 161.71/162.01 (step @p35 :rule eq_resolve :premises (@p2 @p34)) % 161.71/162.01 (step @p36 :rule instantiate :premises (@p35) :args (@t35)) % 161.71/162.01 (step @p37 :rule instantiate :premises (@p35) :args ((@list tptp.c))) % 161.71/162.01 (step @p38 :rule instantiate :premises (@p35) :args (@t36)) % 161.71/162.01 (step @p39 :rule instantiate :premises (@p35) :args (@t37)) % 161.71/162.01 (step @p40 :rule instantiate :premises (@p35) :args (@t38)) % 161.71/162.01 (step @p41 :rule instantiate :premises (@p4) :args ((@list tptp.a @t29))) % 161.71/162.01 (step @p42 :rule instantiate :premises (@p4) :args (@t41)) % 161.71/162.01 (step @p43 :rule instantiate :premises (@p4) :args (@t43)) % 161.71/162.01 (step @p44 :rule instantiate :premises (@p5) :args ((@list tptp.a @t26))) % 161.71/162.01 (step @p45 :rule instantiate :premises (@p5) :args (@t41)) % 161.71/162.01 (step @p46 :rule instantiate :premises (@p5) :args (@t43)) % 161.71/162.01 (step @p47 :rule instantiate :premises (@p23) :args (@t43)) % 161.71/162.01 (step @p48 :rule instantiate :premises (@p27) :args (@t43)) % 161.71/162.01 (step @p49 :rule eq-symm :args (@t2 @t1)) % 161.71/162.01 (step @p50 :rule cong :premises (@p49) :args (@t4)) % 161.71/162.01 (step @p51 :rule eq_resolve :premises (@p1 @p50)) % 161.71/162.01 (step @p52 :rule instantiate :premises (@p51) :args (@t35)) % 161.71/162.01 (step @p53 :rule instantiate :premises (@p5) :args ((@list @t42 @t44))) % 161.71/162.01 (step @p54 :rule instantiate :premises (@p4) :args ((@list @t42 @t45))) % 161.71/162.01 (step @p55 :rule instantiate :premises (@p35) :args ((@list @t42))) % 161.71/162.01 (step @p56 :rule instantiate :premises (@p14) :args ((@list @t39 @t42 @t26))) % 161.71/162.01 (step @p57 :rule instantiate :premises (@p15) :args ((@list @t39 @t42 @t29))) % 161.71/162.01 (step @p58 :rule instantiate :premises (@p51) :args (@t36)) % 161.71/162.01 (step @p59 :rule instantiate :premises (@p51) :args (@t37)) % 161.71/162.01 (step @p60 :rule instantiate :premises (@p51) :args (@t38)) % 161.71/162.01 (step @p61 :rule instantiate :premises (@p4) :args ((@list @t47 @t46))) % 161.71/162.01 (step @p62 :rule instantiate :premises (@p5) :args ((@list @t49 @t48))) % 161.71/162.01 (step @p63 :rule instantiate :premises (@p3) :args ((@list @t50 @t42 tptp.a))) % 161.71/162.01 (step @p64 :rule instantiate :premises (@p3) :args ((@list @t50 @t42 @t26))) % 161.71/162.01 (step @p65 :rule instantiate :premises (@p3) :args ((@list @t50 @t42 @t29))) % 161.71/162.01 (step @p66 :rule instantiate :premises (@p3) :args ((@list @t50 @t42 tptp.b))) % 161.71/162.01 (step @p67 :rule instantiate :premises (@p12) :args (@t51)) % 161.71/162.01 (step @p68 :rule instantiate :premises (@p13) :args (@t51)) % 161.71/162.01 (step @p69 :rule instantiate :premises (@p14) :args (@t52)) % 161.71/162.01 (step @p70 :rule instantiate :premises (@p15) :args (@t52)) % 161.71/162.01 (step @p71 :rule instantiate :premises (@p14) :args ((@list @t44 @t42 tptp.a))) % 161.71/162.01 (step @p72 :rule instantiate :premises (@p15) :args ((@list @t45 @t42 tptp.a))) % 161.71/162.01 (step @p73 :rule instantiate :premises (@p13) :args ((@list @t50 @t46 @t53))) % 161.71/162.01 (step @p74 :rule instantiate :premises (@p13) :args (@t55)) % 161.71/162.01 (step @p75 :rule instantiate :premises (@p12) :args ((@list @t50 @t48 @t53))) % 161.71/162.01 (step @p76 :rule instantiate :premises (@p12) :args (@t55)) % 161.71/162.01 (step @p77 :rule instantiate :premises (@p23) :args ((@list tptp.b tptp.a))) % 161.71/162.01 (step @p78 :rule instantiate :premises (@p6) :args ((@list @t46 @t56 @t53))) % 161.71/162.01 (step @p79 :rule instantiate :premises (@p7) :args ((@list @t48 @t57 @t53))) % 161.71/162.01 (assume-push @p281 @t27) % 161.71/162.01 (assume-push @p282 @t30) % 161.71/162.01 (assume-push @p283 @t59) % 161.71/162.01 (assume-push @p284 @t61) % 161.71/162.01 (assume-push @p285 @t64) % 161.71/162.01 (assume-push @p286 @t66) % 161.71/162.01 (assume-push @p287 @t69) % 161.71/162.01 (assume-push @p288 @t71) % 161.71/162.01 (assume-push @p289 @t73) % 161.71/162.01 (assume-push @p290 @t75) % 161.71/162.01 (assume-push @p291 @t76) % 161.71/162.01 (assume-push @p292 @t77) % 161.71/162.01 (assume-push @p293 @t78) % 161.71/162.01 (assume-push @p294 @t80) % 161.71/162.01 (assume-push @p295 @t82) % 161.71/162.01 (assume-push @p296 @t84) % 161.71/162.01 (assume-push @p297 @t86) % 161.71/162.01 (assume-push @p298 @t88) % 161.71/162.01 (assume-push @p299 @t90) % 161.71/162.01 (assume-push @p300 @t92) % 161.71/162.01 (assume-push @p301 @t94) % 161.71/162.01 (assume-push @p302 @t95) % 161.71/162.01 (assume-push @p303 @t97) % 161.71/162.01 (assume-push @p304 @t99) % 161.71/162.01 (assume-push @p305 @t101) % 161.71/162.01 (assume-push @p306 @t104) % 161.71/162.01 (assume-push @p307 @t107) % 161.71/162.01 (assume-push @p308 @t108) % 161.71/162.01 (assume-push @p309 @t110) % 161.71/162.01 (assume-push @p310 @t112) % 161.71/162.01 (assume-push @p311 @t113) % 161.71/162.01 (assume-push @p312 @t114) % 161.71/162.01 (assume-push @p313 @t117) % 161.71/162.01 (assume-push @p314 @t119) % 161.71/162.01 (assume-push @p315 @t121) % 161.71/162.01 (assume-push @p316 @t124) % 161.71/162.01 (assume-push @p317 @t126) % 161.71/162.01 (assume-push @p318 @t127) % 161.71/162.01 (assume-push @p319 @t129) % 161.71/162.01 (assume-push @p320 @t131) % 161.71/162.01 (assume-push @p321 @t133) % 161.71/162.01 (assume-push @p322 @t135) % 161.71/162.01 (assume-push @p323 @t138) % 161.71/162.01 (assume-push @p324 @t140) % 161.71/162.01 (assume-push @p325 @t143) % 161.71/162.01 (assume-push @p326 @t145) % 161.71/162.01 (assume-push @p327 @t146) % 161.71/162.01 (assume-push @p328 @t149) % 161.71/162.01 (assume-push @p329 @t152) % 161.71/162.01 (step @p129 :rule symm :premises (@p77)) % 161.71/162.01 (step @p130 :rule symm :premises (@p52)) % 161.71/162.01 (step @p131 :rule refl :args (tptp.a)) % 161.71/162.01 (step @p132 :rule symm :premises (@p55)) % 161.71/162.01 (step @p133 :rule cong :premises (@p132 @p131) :args (@t116)) % 161.71/162.01 (step @p134 :rule symm :premises (@p63)) % 161.71/162.01 (step @p135 :rule trans :premises (@p134 @p133 @p130)) % 161.71/162.01 (step @p136 :rule symm :premises (@p58)) % 161.71/162.01 (step @p137 :rule refl :args (tptp.b)) % 161.71/162.01 (step @p138 :rule cong :premises (@p132 @p137) :args (@t123)) % 161.71/162.01 (step @p139 :rule symm :premises (@p66)) % 161.71/162.01 (step @p140 :rule trans :premises (@p139 @p138 @p136)) % 161.71/162.01 (step @p141 :rule cong :premises (@p140 @p135) :args (@t139)) % 161.71/162.01 (step @p142 :rule refl :args (@t53)) % 161.71/162.01 (step @p143 :rule symm :premises (@p39)) % 161.71/162.01 (step @p144 :rule symm :premises (@p16)) % 161.71/162.01 (step @p145 :rule cong :premises (@p144) :args (@t65)) % 161.71/162.01 (step @p146 :rule symm :premises (@p30)) % 161.71/162.01 (step @p147 :rule trans :premises (@p146 @p145)) % 161.71/162.01 (step @p148 :rule cong :premises (@p147 @p144) :args (@t153)) % 161.71/162.01 (step @p149 :rule trans :premises (@p148 @p143)) % 161.71/162.01 (step @p150 :rule trans :premises (@p149 @p38)) % 161.71/162.01 (step @p151 :rule cong :premises (@p150 @p142) :args ((tptp.greatest_lower_bound @t153 @t53))) % 161.71/162.01 (step @p152 :rule symm :premises (@p149)) % 161.71/162.01 (step @p153 :rule symm :premises (@p40)) % 161.71/162.01 (step @p154 :rule refl :args (@t29)) % 161.71/162.01 (step @p155 :rule symm :premises (@p17)) % 161.71/162.01 (step @p156 :rule cong :premises (@p155) :args (@t70)) % 161.71/162.01 (step @p157 :rule symm :premises (@p32)) % 161.71/162.01 (step @p158 :rule symm :premises (@p43)) % 161.71/162.01 (step @p159 :rule trans :premises (@p158 @p157 @p156)) % 161.71/162.01 (step @p160 :rule cong :premises (@p159 @p154) :args (@t106)) % 161.71/162.01 (step @p161 :rule symm :premises (@p57)) % 161.71/162.01 (step @p162 :rule symm :premises (@p61)) % 161.71/162.01 (step @p163 :rule symm :premises (@p67)) % 161.71/162.01 (step @p164 :rule symm :premises (@p36)) % 161.71/162.01 (step @p165 :rule trans :premises (@p164 @p37)) % 161.71/162.01 (step @p166 :rule refl :args (@t125)) % 161.71/162.01 (step @p167 :rule cong :premises (@p166 @p165) :args (@t128)) % 161.71/162.01 (step @p168 :rule trans :premises (@p29 @p45)) % 161.71/162.01 (step @p169 :rule cong :premises (@p168 @p131) :args ((tptp.multiply @t63 tptp.a))) % 161.71/162.01 (step @p170 :rule cong :premises (@p147 @p131) :args (@t56)) % 161.71/162.01 (step @p171 :rule trans :premises (@p170 @p169 @p69 @p167 @p163)) % 161.71/162.01 (step @p172 :rule refl :args (@t46)) % 161.71/162.01 (step @p173 :rule cong :premises (@p172 @p171) :args (@t147)) % 161.71/162.01 (step @p174 :rule trans :premises (@p173 @p162 @p161 @p160 @p153)) % 161.71/162.01 (step @p175 :rule trans :premises (@p174 @p152)) % 161.71/162.01 (step @p176 :rule cong :premises (@p175 @p142) :args (@t148)) % 161.71/162.01 (step @p177 :rule trans :premises (@p48 @p54)) % 161.71/162.01 (step @p178 :rule cong :premises (@p177 @p131) :args (@t53)) % 161.71/162.01 (step @p179 :rule trans :premises (@p178 @p72)) % 161.71/162.01 (step @p180 :rule cong :premises (@p172 @p179) :args (@t136)) % 161.71/162.01 (step @p181 :rule trans :premises (@p180 @p78 @p176 @p151)) % 161.71/162.01 (step @p182 :rule refl :args (@t50)) % 161.71/162.01 (step @p183 :rule cong :premises (@p182 @p181) :args (@t137)) % 161.71/162.01 (step @p184 :rule symm :premises (@p73)) % 161.71/162.01 (step @p185 :rule symm :premises (@p135)) % 161.71/162.01 (step @p186 :rule cong :premises (@p55 @p154) :args (@t111)) % 161.71/162.01 (step @p187 :rule trans :premises (@p60 @p186 @p65)) % 161.71/162.01 (step @p188 :rule cong :premises (@p187 @p185) :args (@t79)) % 161.71/162.01 (step @p189 :rule trans :premises (@p28 @p41 @p188 @p184 @p183 @p74 @p141)) % 161.71/162.01 (step @p190 :rule cong :premises (@p137 @p189) :args ((tptp.least_upper_bound tptp.b tptp.a))) % 161.71/162.01 (step @p191 :rule cong :premises (@p140 @p135) :args (@t144)) % 161.71/162.01 (step @p192 :rule trans :premises (@p157 @p156)) % 161.71/162.01 (step @p193 :rule cong :premises (@p192 @p155) :args (@t154)) % 161.71/162.01 (step @p194 :rule trans :premises (@p193 @p153)) % 161.71/162.01 (step @p195 :rule trans :premises (@p194 @p38)) % 161.71/162.01 (step @p196 :rule cong :premises (@p195 @p142) :args ((tptp.least_upper_bound @t154 @t53))) % 161.71/162.01 (step @p197 :rule symm :premises (@p194)) % 161.71/162.01 (step @p198 :rule refl :args (@t26)) % 161.71/162.01 (step @p199 :rule symm :premises (@p46)) % 161.71/162.01 (step @p200 :rule trans :premises (@p199 @p146 @p145)) % 161.71/162.01 (step @p201 :rule cong :premises (@p200 @p198) :args (@t103)) % 161.71/162.01 (step @p202 :rule symm :premises (@p56)) % 161.71/162.01 (step @p203 :rule symm :premises (@p62)) % 161.71/162.01 (step @p204 :rule symm :premises (@p68)) % 161.71/162.01 (step @p205 :rule cong :premises (@p166 @p165) :args (@t130)) % 161.71/162.01 (step @p206 :rule trans :premises (@p31 @p42)) % 161.71/162.01 (step @p207 :rule cong :premises (@p206 @p131) :args ((tptp.multiply @t68 tptp.a))) % 161.71/162.01 (step @p208 :rule cong :premises (@p192 @p131) :args (@t57)) % 161.71/162.01 (step @p209 :rule trans :premises (@p208 @p207 @p70 @p205 @p204)) % 161.71/162.01 (step @p210 :rule refl :args (@t48)) % 161.71/162.01 (step @p211 :rule cong :premises (@p210 @p209) :args (@t150)) % 161.71/162.01 (step @p212 :rule trans :premises (@p211 @p203 @p202 @p201 @p143)) % 161.71/162.01 (step @p213 :rule trans :premises (@p212 @p197)) % 161.71/162.01 (step @p214 :rule cong :premises (@p213 @p142) :args (@t151)) % 161.71/162.01 (step @p215 :rule trans :premises (@p47 @p53)) % 161.71/162.01 (step @p216 :rule cong :premises (@p215 @p131) :args (@t53)) % 161.71/162.01 (step @p217 :rule trans :premises (@p216 @p71)) % 161.71/162.01 (step @p218 :rule cong :premises (@p210 @p217) :args (@t141)) % 161.71/162.01 (step @p219 :rule trans :premises (@p218 @p79 @p214 @p196)) % 161.71/162.01 (step @p220 :rule cong :premises (@p182 @p219) :args (@t142)) % 161.71/162.01 (step @p221 :rule symm :premises (@p75)) % 161.71/162.01 (step @p222 :rule cong :premises (@p55 @p198) :args (@t109)) % 161.71/162.01 (step @p223 :rule trans :premises (@p59 @p222 @p64)) % 161.71/162.01 (step @p224 :rule cong :premises (@p223 @p185) :args (@t85)) % 161.71/162.01 (step @p225 :rule trans :premises (@p24 @p44 @p224 @p221 @p220 @p76 @p191 @p190 @p129)) % 161.71/162.01 (step-pop @p330 :rule scope :premises (@p225)) % 161.71/162.01 (step-pop @p331 :rule scope :premises (@p330)) % 161.71/162.01 (step-pop @p332 :rule scope :premises (@p331)) % 161.71/162.01 (step-pop @p333 :rule scope :premises (@p332)) % 161.71/162.01 (step-pop @p334 :rule scope :premises (@p333)) % 161.71/162.01 (step-pop @p335 :rule scope :premises (@p334)) % 161.71/162.01 (step-pop @p336 :rule scope :premises (@p335)) % 161.71/162.01 (step-pop @p337 :rule scope :premises (@p336)) % 161.71/162.01 (step-pop @p338 :rule scope :premises (@p337)) % 161.71/162.01 (step-pop @p339 :rule scope :premises (@p338)) % 161.71/162.01 (step-pop @p340 :rule scope :premises (@p339)) % 161.71/162.01 (step-pop @p341 :rule scope :premises (@p340)) % 161.71/162.01 (step-pop @p342 :rule scope :premises (@p341)) % 161.71/162.01 (step-pop @p343 :rule scope :premises (@p342)) % 161.71/162.01 (step-pop @p344 :rule scope :premises (@p343)) % 161.71/162.01 (step-pop @p345 :rule scope :premises (@p344)) % 161.71/162.01 (step-pop @p346 :rule scope :premises (@p345)) % 161.71/162.01 (step-pop @p347 :rule scope :premises (@p346)) % 161.71/162.01 (step-pop @p348 :rule scope :premises (@p347)) % 161.71/162.01 (step-pop @p349 :rule scope :premises (@p348)) % 161.71/162.01 (step-pop @p350 :rule scope :premises (@p349)) % 161.71/162.01 (step-pop @p351 :rule scope :premises (@p350)) % 161.71/162.01 (step-pop @p352 :rule scope :premises (@p351)) % 161.71/162.01 (step-pop @p353 :rule scope :premises (@p352)) % 161.71/162.01 (step-pop @p354 :rule scope :premises (@p353)) % 161.71/162.01 (step-pop @p355 :rule scope :premises (@p354)) % 161.71/162.01 (step-pop @p356 :rule scope :premises (@p355)) % 161.71/162.01 (step-pop @p357 :rule scope :premises (@p356)) % 161.71/162.01 (step-pop @p358 :rule scope :premises (@p357)) % 161.71/162.01 (step-pop @p359 :rule scope :premises (@p358)) % 161.71/162.01 (step-pop @p360 :rule scope :premises (@p359)) % 161.71/162.01 (step-pop @p361 :rule scope :premises (@p360)) % 161.71/162.01 (step-pop @p362 :rule scope :premises (@p361)) % 161.71/162.01 (step-pop @p363 :rule scope :premises (@p362)) % 161.71/162.01 (step-pop @p364 :rule scope :premises (@p363)) % 161.71/162.01 (step-pop @p365 :rule scope :premises (@p364)) % 161.71/162.01 (step-pop @p366 :rule scope :premises (@p365)) % 161.71/162.01 (step-pop @p367 :rule scope :premises (@p366)) % 161.71/162.01 (step-pop @p368 :rule scope :premises (@p367)) % 161.71/162.01 (step-pop @p369 :rule scope :premises (@p368)) % 161.71/162.01 (step-pop @p370 :rule scope :premises (@p369)) % 161.71/162.01 (step-pop @p371 :rule scope :premises (@p370)) % 161.71/162.01 (step-pop @p372 :rule scope :premises (@p371)) % 161.71/162.01 (step-pop @p373 :rule scope :premises (@p372)) % 161.71/162.01 (step-pop @p374 :rule scope :premises (@p373)) % 161.71/162.01 (step-pop @p375 :rule scope :premises (@p374)) % 161.71/162.01 (step-pop @p376 :rule scope :premises (@p375)) % 161.71/162.01 (step-pop @p377 :rule scope :premises (@p376)) % 161.71/162.01 (step-pop @p378 :rule scope :premises (@p377)) % 161.71/162.01 (step @p226 :rule process_scope :premises (@p378) :args (@t32)) % 161.71/162.01 (step @p276 :rule implies_elim :premises (@p226)) % 161.71/162.01 (step @p277 :rule cnf_and_neg :args (@t155)) % 161.71/162.01 (step @p278 :rule resolution :premises (@p277 @p276) :args (true @t155)) % 161.71/162.01 (step @p279 :rule reordering :premises (@p278) :args ((or @t32 (not @t27) (not @t30) (not @t59) (not @t61) (not @t64) (not @t66) (not @t69) (not @t71) (not @t73) (not @t75) (not @t76) (not @t77) (not @t78) (not @t80) (not @t82) (not @t84) (not @t86) (not @t88) (not @t90) (not @t92) (not @t94) (not @t95) (not @t97) (not @t99) (not @t101) (not @t104) (not @t107) (not @t108) (not @t110) (not @t112) (not @t113) (not @t114) (not @t117) (not @t119) (not @t121) (not @t124) (not @t126) (not @t127) (not @t129) (not @t131) (not @t133) (not @t135) (not @t138) (not @t140) (not @t143) (not @t145) (not @t146) (not @t149) (not @t152)))) % 161.71/162.01 (step @p280 false :rule chain_m_resolution :premises (@p279 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p32 @p31 @p30 @p29 @p28 @p24 @p20 @p17 @p16) :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 true false false) (@list @t152 @t149 @t146 @t145 @t143 @t140 @t138 @t135 @t133 @t131 @t129 @t127 @t126 @t124 @t121 @t119 @t117 @t114 @t113 @t112 @t110 @t108 @t107 @t104 @t101 @t99 @t97 @t95 @t94 @t92 @t90 @t88 @t86 @t84 @t82 @t80 @t78 @t77 @t76 @t75 @t73 @t71 @t69 @t66 @t64 @t61 @t59 @t32 @t30 @t27))) % 161.71/162.01 ) % 161.71/162.01 % SZS output end Proof % 161.71/162.01 % cvc5 exiting %------------------------------------------------------------------------------