%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP183-3 : 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 : n004.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 08:20:08 AM UTC 2026 % Result : Unsatisfiable 158.94s 159.29s % Output : Proof 159.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP183-3 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.33 % Computer : n004.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Tue Jun 2 00:54:52 EDT 2026 % 0.14/0.34 % CPUTime : % 0.30/0.48 %----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... % 16.03/16.20 --- Run --no-e-matching --full-saturate-quant at 6... % 22.02/22.23 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.03/28.25 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.11/34.31 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.16/64.62 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.61/79.83 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.91/113.17 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 128.18/128.40 --- Run --prenex-quant=none --full-saturate-quant at 30... % 158.44/158.74 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 158.94/159.29 % SZS status Unsatisfiable % 158.94/159.29 % SZS output start Proof % 159.04/159.30 ( % 159.04/159.30 (declare-sort $$unsorted 0) % 159.04/159.30 (declare-const tptp.a $$unsorted) % 159.04/159.30 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 159.04/159.30 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 159.04/159.30 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 159.04/159.30 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 159.04/159.30 (declare-const tptp.identity $$unsorted) % 159.04/159.30 (define @t1 () (@var "X" $$unsorted)) % 159.04/159.30 (define @t2 () (tptp.multiply tptp.identity @t1)) % 159.04/159.30 (define @t3 () (@list @t1)) % 159.04/159.30 (define @t4 () (forall @t3 (= @t2 @t1))) % 159.04/159.30 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 159.04/159.30 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 159.04/159.30 (define @t7 () (@var "Z" $$unsorted)) % 159.04/159.30 (define @t8 () (@var "Y" $$unsorted)) % 159.04/159.30 (define @t9 () (tptp.multiply @t1 @t8)) % 159.04/159.30 (define @t10 () (@list @t1 @t8 @t7)) % 159.04/159.30 (define @t11 () (forall @t10 (= (tptp.multiply @t9 @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 159.04/159.30 (define @t12 () (tptp.greatest_lower_bound @t1 @t8)) % 159.04/159.30 (define @t13 () (@list @t1 @t8)) % 159.04/159.30 (define @t14 () (forall @t13 (= @t12 (tptp.greatest_lower_bound @t8 @t1)))) % 159.04/159.30 (define @t15 () (tptp.least_upper_bound @t1 @t8)) % 159.04/159.30 (define @t16 () (tptp.greatest_lower_bound @t8 @t7)) % 159.04/159.30 (define @t17 () (tptp.least_upper_bound @t8 @t7)) % 159.04/159.30 (define @t18 () (tptp.least_upper_bound @t1 @t1)) % 159.04/159.30 (define @t19 () (forall @t3 (= @t18 @t1))) % 159.04/159.30 (define @t20 () (tptp.greatest_lower_bound @t1 @t1)) % 159.04/159.30 (define @t21 () (forall @t3 (= @t20 @t1))) % 159.04/159.30 (define @t22 () (tptp.least_upper_bound @t1 @t12)) % 159.04/159.30 (define @t23 () (forall @t13 (= @t22 @t1))) % 159.04/159.30 (define @t24 () (tptp.greatest_lower_bound @t1 @t15)) % 159.04/159.30 (define @t25 () (forall @t13 (= @t24 @t1))) % 159.04/159.30 (define @t26 () (tptp.multiply @t1 @t7)) % 159.04/159.30 (define @t27 () (tptp.multiply @t7 @t1)) % 159.04/159.30 (define @t28 () (tptp.multiply @t8 @t1)) % 159.04/159.30 (define @t29 () (@list @t8 @t7 @t1)) % 159.04/159.30 (define @t30 () (tptp.inverse tptp.a)) % 159.04/159.30 (define @t31 () (tptp.least_upper_bound @t30 tptp.identity)) % 159.04/159.30 (define @t32 () (tptp.least_upper_bound tptp.a tptp.identity)) % 159.04/159.30 (define @t33 () (tptp.greatest_lower_bound @t32 @t31)) % 159.04/159.30 (define @t34 () (@list tptp.a)) % 159.04/159.30 (define @t35 () (@list tptp.identity)) % 159.04/159.30 (define @t36 () (@list tptp.identity tptp.a)) % 159.04/159.30 (define @t37 () (@list @t30 tptp.a tptp.identity)) % 159.04/159.30 (define @t38 () (@list tptp.identity @t30)) % 159.04/159.30 (define @t39 () (tptp.greatest_lower_bound tptp.identity @t32)) % 159.04/159.30 (define @t40 () (tptp.greatest_lower_bound @t32 tptp.identity)) % 159.04/159.30 (define @t41 () (= @t39 @t40)) % 159.04/159.30 (define @t42 () (@list tptp.identity @t32)) % 159.04/159.30 (define @t43 () (= @t40 @t39)) % 159.04/159.30 (define @t44 () (@list false)) % 159.04/159.30 (define @t45 () (@list tptp.identity tptp.identity tptp.a)) % 159.04/159.30 (define @t46 () (@list tptp.identity tptp.a tptp.identity)) % 159.04/159.30 (define @t47 () (tptp.least_upper_bound tptp.identity @t30)) % 159.04/159.30 (define @t48 () (@list @t30)) % 159.04/159.30 (define @t49 () (tptp.multiply @t31 tptp.a)) % 159.04/159.30 (define @t50 () (tptp.multiply @t49 tptp.identity)) % 159.04/159.30 (define @t51 () (tptp.multiply tptp.a tptp.identity)) % 159.04/159.30 (define @t52 () (tptp.multiply @t31 @t51)) % 159.04/159.30 (define @t53 () (= @t50 @t52)) % 159.04/159.30 (define @t54 () (@list @t31 tptp.a tptp.identity)) % 159.04/159.30 (define @t55 () (= @t52 @t50)) % 159.04/159.30 (define @t56 () (@list tptp.identity @t30 tptp.identity)) % 159.04/159.30 (define @t57 () (tptp.inverse @t30)) % 159.04/159.30 (define @t58 () (tptp.least_upper_bound tptp.identity tptp.a)) % 159.04/159.30 (define @t59 () (tptp.multiply @t30 @t32)) % 159.04/159.30 (define @t60 () (tptp.greatest_lower_bound tptp.identity tptp.a)) % 159.04/159.30 (define @t61 () (tptp.greatest_lower_bound tptp.identity @t30)) % 159.04/159.30 (define @t62 () (tptp.multiply tptp.identity tptp.identity)) % 159.04/159.30 (define @t63 () (tptp.multiply @t32 tptp.identity)) % 159.04/159.30 (define @t64 () (tptp.greatest_lower_bound tptp.a tptp.identity)) % 159.04/159.30 (define @t65 () (tptp.multiply @t30 tptp.a)) % 159.04/159.30 (define @t66 () (= tptp.identity @t65)) % 159.04/159.30 (define @t67 () (= @t33 (tptp.greatest_lower_bound @t31 @t32))) % 159.04/159.30 (define @t68 () (= @t32 @t58)) % 159.04/159.30 (define @t69 () (= @t31 @t47)) % 159.04/159.30 (define @t70 () (= tptp.identity @t62)) % 159.04/159.30 (define @t71 () (= @t60 @t64)) % 159.04/159.30 (define @t72 () (tptp.least_upper_bound tptp.identity tptp.identity)) % 159.04/159.30 (define @t73 () (= tptp.identity @t72)) % 159.04/159.30 (define @t74 () (tptp.multiply @t30 @t51)) % 159.04/159.30 (define @t75 () (tptp.multiply @t65 tptp.identity)) % 159.04/159.30 (define @t76 () (= @t75 @t74)) % 159.04/159.30 (define @t77 () (tptp.least_upper_bound tptp.identity @t60)) % 159.04/159.30 (define @t78 () (= tptp.identity @t77)) % 159.04/159.30 (define @t79 () (tptp.greatest_lower_bound tptp.identity @t58)) % 159.04/159.30 (define @t80 () (= tptp.identity @t79)) % 159.04/159.30 (define @t81 () (tptp.greatest_lower_bound tptp.identity @t47)) % 159.04/159.30 (define @t82 () (= tptp.identity @t81)) % 159.04/159.30 (define @t83 () (tptp.multiply tptp.identity tptp.a)) % 159.04/159.30 (define @t84 () (= tptp.a @t83)) % 159.04/159.30 (define @t85 () (tptp.least_upper_bound @t62 @t83)) % 159.04/159.30 (define @t86 () (tptp.multiply tptp.identity @t58)) % 159.04/159.30 (define @t87 () (= @t86 @t85)) % 159.04/159.30 (define @t88 () (tptp.multiply tptp.identity @t60)) % 159.04/159.30 (define @t89 () (= @t88 (tptp.greatest_lower_bound @t62 @t83))) % 159.04/159.30 (define @t90 () (tptp.least_upper_bound @t33 tptp.identity)) % 159.04/159.30 (define @t91 () (= (tptp.least_upper_bound tptp.identity @t33) @t90)) % 159.04/159.30 (define @t92 () (tptp.greatest_lower_bound @t31 @t31)) % 159.04/159.30 (define @t93 () (= @t31 @t92)) % 159.04/159.30 (define @t94 () (tptp.least_upper_bound @t83 @t65)) % 159.04/159.30 (define @t95 () (tptp.multiply @t47 tptp.a)) % 159.04/159.30 (define @t96 () (= @t95 @t94)) % 159.04/159.30 (define @t97 () (tptp.multiply tptp.identity @t51)) % 159.04/159.30 (define @t98 () (= (tptp.multiply @t83 tptp.identity) @t97)) % 159.04/159.30 (define @t99 () (tptp.greatest_lower_bound @t47 tptp.identity)) % 159.04/159.30 (define @t100 () (= @t81 @t99)) % 159.04/159.30 (define @t101 () (tptp.multiply @t30 tptp.identity)) % 159.04/159.30 (define @t102 () (tptp.least_upper_bound @t65 @t101)) % 159.04/159.30 (define @t103 () (= @t59 @t102)) % 159.04/159.30 (define @t104 () (tptp.greatest_lower_bound @t63 @t62)) % 159.04/159.30 (define @t105 () (= (tptp.multiply @t40 tptp.identity) @t104)) % 159.04/159.30 (define @t106 () (tptp.multiply tptp.identity @t30)) % 159.04/159.30 (define @t107 () (= @t30 @t106)) % 159.04/159.30 (define @t108 () (tptp.multiply @t57 @t30)) % 159.04/159.30 (define @t109 () (= tptp.identity @t108)) % 159.04/159.30 (define @t110 () (tptp.greatest_lower_bound @t30 tptp.identity)) % 159.04/159.30 (define @t111 () (= @t61 @t110)) % 159.04/159.30 (define @t112 () (tptp.least_upper_bound tptp.identity @t61)) % 159.04/159.30 (define @t113 () (= tptp.identity @t112)) % 159.04/159.30 (define @t114 () (tptp.greatest_lower_bound @t62 @t51)) % 159.04/159.30 (define @t115 () (tptp.multiply @t60 tptp.identity)) % 159.04/159.30 (define @t116 () (= @t115 @t114)) % 159.04/159.30 (define @t117 () (tptp.least_upper_bound @t62 @t101)) % 159.04/159.30 (define @t118 () (= (tptp.multiply @t47 tptp.identity) @t117)) % 159.04/159.30 (define @t119 () (tptp.multiply @t108 tptp.a)) % 159.04/159.30 (define @t120 () (= @t119 (tptp.multiply @t57 @t65))) % 159.04/159.30 (define @t121 () (tptp.multiply @t57 @t74)) % 159.04/159.30 (define @t122 () (= (tptp.multiply @t108 @t51) @t121)) % 159.04/159.30 (define @t123 () (tptp.multiply tptp.identity @t101)) % 159.04/159.30 (define @t124 () (tptp.multiply @t106 tptp.identity)) % 159.04/159.30 (define @t125 () (= @t124 @t123)) % 159.04/159.30 (define @t126 () (tptp.multiply @t57 tptp.identity)) % 159.04/159.30 (define @t127 () (tptp.multiply @t126 @t30)) % 159.04/159.30 (define @t128 () (= @t127 (tptp.multiply @t57 @t106))) % 159.04/159.30 (define @t129 () (tptp.greatest_lower_bound @t58 @t59)) % 159.04/159.30 (define @t130 () (= (tptp.greatest_lower_bound @t59 @t58) @t129)) % 159.04/159.30 (define @t131 () (tptp.least_upper_bound @t61 @t60)) % 159.04/159.30 (define @t132 () (tptp.least_upper_bound tptp.identity @t131)) % 159.04/159.30 (define @t133 () (= @t132 (tptp.least_upper_bound @t112 @t60))) % 159.04/159.30 (define @t134 () (tptp.greatest_lower_bound @t47 @t63)) % 159.04/159.30 (define @t135 () (tptp.greatest_lower_bound @t134 @t62)) % 159.04/159.30 (define @t136 () (= (tptp.greatest_lower_bound @t47 @t104) @t135)) % 159.04/159.30 (define @t137 () (tptp.multiply @t30 @t60)) % 159.04/159.30 (define @t138 () (= @t137 (tptp.greatest_lower_bound @t101 @t65))) % 159.04/159.30 (define @t139 () (tptp.multiply @t31 tptp.identity)) % 159.04/159.30 (define @t140 () (tptp.greatest_lower_bound @t139 @t49)) % 159.04/159.30 (define @t141 () (= (tptp.multiply @t31 @t60) @t140)) % 159.04/159.30 (define @t142 () (tptp.multiply @t65 @t30)) % 159.04/159.30 (define @t143 () (= @t142 (tptp.multiply @t30 (tptp.multiply tptp.a @t30)))) % 159.04/159.30 (define @t144 () (= @t33 (tptp.least_upper_bound @t33 (tptp.greatest_lower_bound @t33 @t62)))) % 159.04/159.30 (define @t145 () (tptp.multiply @t31 @t64)) % 159.04/159.30 (define @t146 () (= @t145 (tptp.least_upper_bound (tptp.multiply @t30 @t64) (tptp.multiply tptp.identity @t64)))) % 159.04/159.30 (define @t147 () (tptp.multiply tptp.identity @t65)) % 159.04/159.30 (define @t148 () (tptp.multiply @t30 @t58)) % 159.04/159.30 (define @t149 () (tptp.least_upper_bound @t61 @t115)) % 159.04/159.30 (define @t150 () (= tptp.identity @t33)) % 159.04/159.30 (define @t151 () (and @t66 @t67 @t68 @t69 @t70 @t71 @t73 @t76 @t78 @t80 @t82 @t84 @t43 @t87 @t89 @t91 @t93 @t96 @t98 @t100 @t103 @t105 @t107 @t109 @t111 @t113 @t116 @t55 @t118 @t120 @t122 @t125 @t128 @t130 @t133 @t136 @t138 @t141 @t143 @t144 @t146)) % 159.04/159.30 (assume @p1 @t4) % 159.04/159.30 (assume @p2 @t6) % 159.04/159.30 (assume @p3 @t11) % 159.04/159.30 (assume @p4 @t14) % 159.04/159.30 (assume @p5 (forall @t13 (= @t15 (tptp.least_upper_bound @t8 @t1)))) % 159.04/159.30 (assume @p6 (forall @t10 (= (tptp.greatest_lower_bound @t1 @t16) (tptp.greatest_lower_bound @t12 @t7)))) % 159.04/159.30 (assume @p7 (forall @t10 (= (tptp.least_upper_bound @t1 @t17) (tptp.least_upper_bound @t15 @t7)))) % 159.04/159.30 (assume @p8 @t19) % 159.04/159.30 (assume @p9 @t21) % 159.04/159.30 (assume @p10 @t23) % 159.04/159.30 (assume @p11 @t25) % 159.04/159.30 (assume @p12 (forall @t10 (= (tptp.multiply @t1 @t17) (tptp.least_upper_bound @t9 @t26)))) % 159.04/159.30 (assume @p13 (forall @t10 (= (tptp.multiply @t1 @t16) (tptp.greatest_lower_bound @t9 @t26)))) % 159.04/159.30 (assume @p14 (forall @t29 (= (tptp.multiply @t17 @t1) (tptp.least_upper_bound @t28 @t27)))) % 159.04/159.30 (assume @p15 (forall @t29 (= (tptp.multiply @t16 @t1) (tptp.greatest_lower_bound @t28 @t27)))) % 159.04/159.30 (assume @p16 (not (= @t33 tptp.identity))) % 159.04/159.30 (step @p17 :rule symm :premises (@p16)) % 159.04/159.30 (step @p18 :rule eq-symm :args (@t5 tptp.identity)) % 159.04/159.30 (step @p19 :rule cong :premises (@p18) :args (@t6)) % 159.04/159.30 (step @p20 :rule eq_resolve :premises (@p2 @p19)) % 159.04/159.30 (step @p21 :rule instantiate :premises (@p20) :args (@t34)) % 159.04/159.30 (step @p22 :rule instantiate :premises (@p4) :args ((@list @t32 @t31))) % 159.04/159.30 (step @p23 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.identity))) % 159.04/159.30 (step @p24 :rule instantiate :premises (@p5) :args ((@list @t30 tptp.identity))) % 159.04/159.30 (step @p25 :rule eq-symm :args (@t2 @t1)) % 159.04/159.30 (step @p26 :rule cong :premises (@p25) :args (@t4)) % 159.04/159.30 (step @p27 :rule eq_resolve :premises (@p1 @p26)) % 159.04/159.30 (step @p28 :rule instantiate :premises (@p27) :args (@t35)) % 159.04/159.30 (step @p29 :rule instantiate :premises (@p4) :args (@t36)) % 159.04/159.30 (step @p30 :rule eq-symm :args (@t18 @t1)) % 159.04/159.30 (step @p31 :rule cong :premises (@p30) :args (@t19)) % 159.04/159.30 (step @p32 :rule eq_resolve :premises (@p8 @p31)) % 159.04/159.30 (step @p33 :rule instantiate :premises (@p32) :args (@t35)) % 159.04/159.30 (step @p34 :rule instantiate :premises (@p3) :args (@t37)) % 159.04/159.30 (step @p35 :rule eq-symm :args (@t22 @t1)) % 159.04/159.30 (step @p36 :rule cong :premises (@p35) :args (@t23)) % 159.04/159.30 (step @p37 :rule eq_resolve :premises (@p10 @p36)) % 159.04/159.30 (step @p38 :rule instantiate :premises (@p37) :args (@t36)) % 159.04/159.30 (step @p39 :rule eq-symm :args (@t24 @t1)) % 159.04/159.30 (step @p40 :rule cong :premises (@p39) :args (@t25)) % 159.04/159.30 (step @p41 :rule eq_resolve :premises (@p11 @p40)) % 159.04/159.30 (step @p42 :rule instantiate :premises (@p41) :args (@t36)) % 159.04/159.30 (step @p43 :rule instantiate :premises (@p41) :args (@t38)) % 159.04/159.30 (step @p44 :rule instantiate :premises (@p27) :args (@t34)) % 159.04/159.30 (step @p45 :rule eq-symm :args (@t39 @t40)) % 159.04/159.30 (step @p46 :rule refl :args (@t14)) % 159.04/159.30 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t14 @t41))) % 159.04/159.30 (assume-push @p303 @t14) % 159.04/159.30 (step @p49 :rule instantiate :premises (@p4) :args (@t42)) % 159.04/159.30 (step-pop @p304 :rule scope :premises (@p49)) % 159.04/159.30 (step @p50 :rule process_scope :premises (@p304) :args (@t41)) % 159.04/159.30 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 159.04/159.30 (step @p53 :rule implies_elim :premises (@p52)) % 159.04/159.30 (step @p54 :rule chain_m_resolution :premises (@p53 @p4) :args (@t43 @t44 (@list @t14))) % 159.04/159.30 (step @p55 :rule instantiate :premises (@p12) :args (@t45)) % 159.04/159.30 (step @p56 :rule instantiate :premises (@p13) :args (@t45)) % 159.04/159.30 (step @p57 :rule instantiate :premises (@p5) :args ((@list tptp.identity @t33))) % 159.04/159.30 (step @p58 :rule eq-symm :args (@t20 @t1)) % 159.04/159.30 (step @p59 :rule cong :premises (@p58) :args (@t21)) % 159.04/159.30 (step @p60 :rule eq_resolve :premises (@p9 @p59)) % 159.04/159.30 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t31))) % 159.04/159.30 (step @p62 :rule instantiate :premises (@p14) :args ((@list tptp.identity @t30 tptp.a))) % 159.04/159.30 (step @p63 :rule instantiate :premises (@p3) :args (@t46)) % 159.04/159.30 (step @p64 :rule instantiate :premises (@p4) :args ((@list tptp.identity @t47))) % 159.04/159.30 (step @p65 :rule instantiate :premises (@p12) :args (@t37)) % 159.04/159.30 (step @p66 :rule instantiate :premises (@p15) :args ((@list @t32 tptp.identity tptp.identity))) % 159.04/159.30 (step @p67 :rule instantiate :premises (@p27) :args (@t48)) % 159.04/159.30 (step @p68 :rule instantiate :premises (@p20) :args (@t48)) % 159.04/159.30 (step @p69 :rule instantiate :premises (@p4) :args (@t38)) % 159.04/159.30 (step @p70 :rule instantiate :premises (@p37) :args (@t38)) % 159.04/159.30 (step @p71 :rule instantiate :premises (@p15) :args (@t46)) % 159.04/159.30 (step @p72 :rule eq-symm :args (@t50 @t52)) % 159.04/159.30 (step @p73 :rule refl :args (@t11)) % 159.04/159.30 (step @p74 :rule cong :premises (@p73 @p72) :args ((=> @t11 @t53))) % 159.04/159.30 (assume-push @p305 @t11) % 159.04/159.30 (step @p76 :rule instantiate :premises (@p3) :args (@t54)) % 159.04/159.30 (step-pop @p306 :rule scope :premises (@p76)) % 159.04/159.30 (step @p77 :rule process_scope :premises (@p306) :args (@t53)) % 159.04/159.30 (step @p79 :rule eq_resolve :premises (@p77 @p74)) % 159.04/159.30 (step @p80 :rule implies_elim :premises (@p79)) % 159.04/159.30 (step @p81 :rule chain_m_resolution :premises (@p80 @p3) :args (@t55 @t44 (@list @t11))) % 159.04/159.30 (step @p82 :rule instantiate :premises (@p14) :args (@t56)) % 159.04/159.30 (step @p83 :rule instantiate :premises (@p3) :args ((@list @t57 @t30 tptp.a))) % 159.04/159.30 (step @p84 :rule instantiate :premises (@p3) :args ((@list @t57 @t30 @t51))) % 159.04/159.30 (step @p85 :rule instantiate :premises (@p3) :args (@t56)) % 159.04/159.30 (step @p86 :rule instantiate :premises (@p3) :args ((@list @t57 tptp.identity @t30))) % 159.04/159.30 (step @p87 :rule instantiate :premises (@p4) :args ((@list @t59 @t58))) % 159.04/159.30 (step @p88 :rule instantiate :premises (@p7) :args ((@list tptp.identity @t61 @t60))) % 159.04/159.30 (step @p89 :rule instantiate :premises (@p6) :args ((@list @t47 @t63 @t62))) % 159.04/159.30 (step @p90 :rule instantiate :premises (@p13) :args ((@list @t30 tptp.identity tptp.a))) % 159.04/159.30 (step @p91 :rule instantiate :premises (@p13) :args ((@list @t31 tptp.identity tptp.a))) % 159.04/159.30 (step @p92 :rule instantiate :premises (@p3) :args ((@list @t30 tptp.a @t30))) % 159.04/159.30 (step @p93 :rule instantiate :premises (@p37) :args ((@list @t33 @t62))) % 159.04/159.30 (step @p94 :rule instantiate :premises (@p14) :args ((@list @t30 tptp.identity @t64))) % 159.04/159.30 (assume-push @p307 @t66) % 159.04/159.30 (assume-push @p308 @t67) % 159.04/159.30 (assume-push @p309 @t68) % 159.04/159.30 (assume-push @p310 @t69) % 159.04/159.30 (assume-push @p311 @t70) % 159.04/159.30 (assume-push @p312 @t71) % 159.04/159.30 (assume-push @p313 @t73) % 159.04/159.30 (assume-push @p314 @t76) % 159.04/159.30 (assume-push @p315 @t78) % 159.04/159.30 (assume-push @p316 @t80) % 159.04/159.30 (assume-push @p317 @t82) % 159.04/159.30 (assume-push @p318 @t84) % 159.04/159.30 (assume-push @p319 @t43) % 159.04/159.30 (assume-push @p320 @t87) % 159.04/159.30 (assume-push @p321 @t89) % 159.04/159.30 (assume-push @p322 @t91) % 159.04/159.30 (assume-push @p323 @t93) % 159.04/159.30 (assume-push @p324 @t96) % 159.04/159.30 (assume-push @p325 @t98) % 159.04/159.30 (assume-push @p326 @t100) % 159.04/159.30 (assume-push @p327 @t103) % 159.04/159.30 (assume-push @p328 @t105) % 159.04/159.30 (assume-push @p329 @t107) % 159.04/159.30 (assume-push @p330 @t109) % 159.04/159.30 (assume-push @p331 @t111) % 159.04/159.30 (assume-push @p332 @t113) % 159.04/159.30 (assume-push @p333 @t116) % 159.04/159.30 (assume-push @p334 @t55) % 159.04/159.30 (assume-push @p335 @t118) % 159.04/159.30 (assume-push @p336 @t120) % 159.04/159.30 (assume-push @p337 @t122) % 159.04/159.30 (assume-push @p338 @t125) % 159.04/159.30 (assume-push @p339 @t128) % 159.04/159.30 (assume-push @p340 @t130) % 159.04/159.30 (assume-push @p341 @t133) % 159.04/159.30 (assume-push @p342 @t136) % 159.04/159.30 (assume-push @p343 @t138) % 159.04/159.30 (assume-push @p344 @t141) % 159.04/159.30 (assume-push @p345 @t143) % 159.04/159.30 (assume-push @p346 @t144) % 159.04/159.30 (assume-push @p347 @t146) % 159.04/159.30 (step @p136 :rule symm :premises (@p93)) % 159.04/159.30 (step @p137 :rule refl :args (@t62)) % 159.04/159.30 (step @p138 :rule symm :premises (@p22)) % 159.04/159.30 (step @p139 :rule symm :premises (@p33)) % 159.04/159.30 (step @p140 :rule refl :args (tptp.a)) % 159.04/159.30 (step @p141 :rule cong :premises (@p140 @p139) :args ((tptp.least_upper_bound tptp.a @t72))) % 159.04/159.30 (step @p142 :rule symm :premises (@p21)) % 159.04/159.30 (step @p143 :rule trans :premises (@p142 @p33)) % 159.04/159.30 (step @p144 :rule symm :premises (@p44)) % 159.04/159.30 (step @p145 :rule cong :premises (@p144 @p143) :args (@t94)) % 159.04/159.30 (step @p146 :rule symm :premises (@p68)) % 159.04/159.30 (step @p147 :rule cong :premises (@p146 @p140) :args (@t119)) % 159.04/159.30 (step @p148 :rule symm :premises (@p83)) % 159.04/159.30 (step @p149 :rule symm :premises (@p28)) % 159.04/159.30 (step @p150 :rule refl :args (tptp.identity)) % 159.04/159.30 (step @p151 :rule cong :premises (@p142 @p150) :args (@t75)) % 159.04/159.30 (step @p152 :rule symm :premises (@p34)) % 159.04/159.30 (step @p153 :rule trans :premises (@p152 @p151 @p149 @p21)) % 159.04/159.30 (step @p154 :rule refl :args (@t57)) % 159.04/159.30 (step @p155 :rule cong :premises (@p154 @p153) :args (@t121)) % 159.04/159.30 (step @p156 :rule refl :args (@t51)) % 159.04/159.30 (step @p157 :rule cong :premises (@p68 @p156) :args (@t97)) % 159.04/159.30 (step @p158 :rule cong :premises (@p44 @p150) :args (@t51)) % 159.04/159.30 (step @p159 :rule trans :premises (@p158 @p63 @p157 @p84 @p155 @p148 @p147 @p144)) % 159.04/159.30 (step @p160 :rule symm :premises (@p61)) % 159.04/159.30 (step @p161 :rule trans :premises (@p160 @p24)) % 159.04/159.30 (step @p162 :rule cong :premises (@p161 @p159) :args ((tptp.multiply @t92 @t51))) % 159.04/159.30 (step @p163 :rule cong :premises (@p61 @p156) :args (@t52)) % 159.04/159.30 (step @p76 :rule instantiate :premises (@p3) :args (@t54)) % 159.04/159.30 (step @p164 :rule symm :premises (@p24)) % 159.04/159.30 (step @p165 :rule cong :premises (@p164 @p140) :args (@t95)) % 159.04/159.30 (step @p166 :rule symm :premises (@p62)) % 159.04/159.30 (step @p167 :rule symm :premises (@p145)) % 159.04/159.30 (step @p168 :rule symm :premises (@p141)) % 159.04/159.30 (step @p169 :rule trans :premises (@p168 @p167 @p166 @p165)) % 159.04/159.30 (step @p170 :rule cong :premises (@p169 @p150) :args (@t63)) % 159.04/159.30 (step @p171 :rule trans :premises (@p170 @p76 @p163 @p162 @p62 @p145 @p141)) % 159.04/159.30 (step @p172 :rule cong :premises (@p164 @p171) :args (@t134)) % 159.04/159.30 (step @p173 :rule trans :premises (@p172 @p138)) % 159.04/159.30 (step @p174 :rule cong :premises (@p173 @p137) :args (@t135)) % 159.04/159.30 (step @p49 :rule instantiate :premises (@p4) :args (@t42)) % 159.04/159.30 (step @p175 :rule symm :premises (@p23)) % 159.04/159.30 (step @p176 :rule cong :premises (@p150 @p175) :args (@t79)) % 159.04/159.30 (step @p177 :rule trans :premises (@p42 @p176 @p49)) % 159.04/159.30 (step @p178 :rule cong :premises (@p177 @p150) :args (@t62)) % 159.04/159.30 (step @p179 :rule trans :premises (@p28 @p178 @p66)) % 159.04/159.30 (step @p180 :rule refl :args (@t47)) % 159.04/159.30 (step @p181 :rule cong :premises (@p180 @p179) :args (@t99)) % 159.04/159.30 (step @p182 :rule trans :premises (@p43 @p64 @p181 @p89 @p174)) % 159.04/159.30 (step @p183 :rule refl :args (@t33)) % 159.04/159.30 (step @p184 :rule cong :premises (@p183 @p182) :args (@t90)) % 159.04/159.30 (step @p185 :rule symm :premises (@p67)) % 159.04/159.30 (step @p186 :rule refl :args (@t30)) % 159.04/159.30 (step @p187 :rule cong :premises (@p142 @p186) :args (@t142)) % 159.04/159.30 (step @p188 :rule symm :premises (@p92)) % 159.04/159.30 (step @p189 :rule cong :premises (@p154 @p21) :args (@t126)) % 159.04/159.30 (step @p190 :rule trans :premises (@p189 @p148 @p147 @p144)) % 159.04/159.30 (step @p191 :rule cong :premises (@p190 @p186) :args (@t127)) % 159.04/159.30 (step @p192 :rule symm :premises (@p86)) % 159.04/159.30 (step @p193 :rule cong :premises (@p154 @p67) :args (@t108)) % 159.04/159.30 (step @p194 :rule trans :premises (@p68 @p193 @p192 @p191)) % 159.04/159.30 (step @p195 :rule cong :premises (@p186 @p194) :args (@t101)) % 159.04/159.30 (step @p196 :rule cong :premises (@p185 @p150) :args (@t124)) % 159.04/159.30 (step @p197 :rule symm :premises (@p85)) % 159.04/159.30 (step @p198 :rule trans :premises (@p197 @p196 @p195 @p188 @p187 @p185)) % 159.04/159.30 (step @p199 :rule cong :premises (@p150 @p142) :args (@t147)) % 159.04/159.30 (step @p200 :rule trans :premises (@p199 @p149)) % 159.04/159.30 (step @p201 :rule cong :premises (@p200 @p198) :args ((tptp.least_upper_bound @t147 @t123))) % 159.04/159.30 (step @p202 :rule symm :premises (@p196)) % 159.04/159.30 (step @p203 :rule trans :premises (@p202 @p85)) % 159.04/159.30 (step @p204 :rule symm :premises (@p199)) % 159.04/159.30 (step @p205 :rule cong :premises (@p204 @p203) :args (@t117)) % 159.04/159.30 (step @p206 :rule refl :args (@t101)) % 159.04/159.30 (step @p207 :rule trans :premises (@p142 @p28)) % 159.04/159.30 (step @p208 :rule cong :premises (@p207 @p206) :args (@t102)) % 159.04/159.30 (step @p209 :rule cong :premises (@p186 @p175) :args (@t148)) % 159.04/159.30 (step @p210 :rule trans :premises (@p209 @p65 @p208 @p205 @p201 @p164)) % 159.04/159.30 (step @p211 :rule cong :premises (@p149 @p144) :args (@t85)) % 159.04/159.30 (step @p212 :rule trans :premises (@p55 @p211 @p175)) % 159.04/159.30 (step @p213 :rule cong :premises (@p212 @p210) :args ((tptp.greatest_lower_bound @t86 @t148))) % 159.04/159.30 (step @p214 :rule symm :premises (@p209)) % 159.04/159.30 (step @p215 :rule symm :premises (@p212)) % 159.04/159.30 (step @p216 :rule trans :premises (@p175 @p215)) % 159.04/159.30 (step @p217 :rule cong :premises (@p216 @p214) :args (@t129)) % 159.04/159.30 (step @p218 :rule symm :premises (@p165)) % 159.04/159.30 (step @p219 :rule trans :premises (@p218 @p62 @p145 @p141 @p23)) % 159.04/159.30 (step @p220 :rule symm :premises (@p65)) % 159.04/159.30 (step @p221 :rule symm :premises (@p208)) % 159.04/159.30 (step @p222 :rule cong :premises (@p24 @p150) :args (@t139)) % 159.04/159.30 (step @p223 :rule trans :premises (@p222 @p82 @p221 @p220)) % 159.04/159.30 (step @p224 :rule cong :premises (@p223 @p219) :args (@t140)) % 159.04/159.30 (step @p225 :rule symm :premises (@p29)) % 159.04/159.30 (step @p226 :rule refl :args (@t31)) % 159.04/159.30 (step @p227 :rule cong :premises (@p226 @p225) :args (@t145)) % 159.04/159.30 (step @p228 :rule symm :premises (@p94)) % 159.04/159.30 (step @p229 :rule cong :premises (@p150 @p29) :args (@t88)) % 159.04/159.30 (step @p230 :rule symm :premises (@p56)) % 159.04/159.30 (step @p231 :rule cong :premises (@p28 @p44) :args (@t60)) % 159.04/159.30 (step @p232 :rule trans :premises (@p231 @p230 @p229)) % 159.04/159.30 (step @p233 :rule cong :premises (@p186 @p29) :args (@t137)) % 159.04/159.30 (step @p234 :rule symm :premises (@p90)) % 159.04/159.30 (step @p235 :rule symm :premises (@p207)) % 159.04/159.30 (step @p236 :rule cong :premises (@p206 @p235) :args ((tptp.greatest_lower_bound @t101 @t62))) % 159.04/159.30 (step @p237 :rule symm :premises (@p195)) % 159.04/159.30 (step @p238 :rule symm :premises (@p187)) % 159.04/159.30 (step @p239 :rule trans :premises (@p67 @p238 @p92 @p237)) % 159.04/159.30 (step @p240 :rule cong :premises (@p239 @p28) :args (@t110)) % 159.04/159.30 (step @p241 :rule trans :premises (@p69 @p240 @p236 @p234 @p233)) % 159.04/159.30 (step @p242 :rule cong :premises (@p241 @p232) :args (@t131)) % 159.04/159.30 (step @p243 :rule cong :premises (@p150 @p159) :args ((tptp.greatest_lower_bound tptp.identity @t51))) % 159.04/159.30 (step @p244 :rule cong :premises (@p149 @p156) :args (@t114)) % 159.04/159.30 (step @p245 :rule trans :premises (@p71 @p244 @p243)) % 159.04/159.30 (step @p246 :rule refl :args (@t61)) % 159.04/159.30 (step @p247 :rule cong :premises (@p246 @p245) :args (@t149)) % 159.04/159.30 (step @p248 :rule trans :premises (@p247 @p242 @p228 @p227 @p91 @p224 @p87 @p217 @p213)) % 159.04/159.30 (step @p249 :rule cong :premises (@p150 @p248) :args ((tptp.least_upper_bound tptp.identity @t149))) % 159.04/159.30 (step @p250 :rule symm :premises (@p247)) % 159.04/159.30 (step @p251 :rule cong :premises (@p150 @p250) :args (@t132)) % 159.04/159.30 (step @p252 :rule symm :premises (@p88)) % 159.04/159.30 (step @p253 :rule refl :args (@t60)) % 159.04/159.30 (step @p254 :rule cong :premises (@p70 @p253) :args (@t77)) % 159.04/159.30 (step @p255 :rule trans :premises (@p38 @p254 @p252 @p251 @p249 @p57 @p184 @p136)) % 159.04/159.30 (step-pop @p348 :rule scope :premises (@p255)) % 159.04/159.30 (step-pop @p349 :rule scope :premises (@p348)) % 159.04/159.30 (step-pop @p350 :rule scope :premises (@p349)) % 159.04/159.30 (step-pop @p351 :rule scope :premises (@p350)) % 159.04/159.30 (step-pop @p352 :rule scope :premises (@p351)) % 159.04/159.30 (step-pop @p353 :rule scope :premises (@p352)) % 159.04/159.30 (step-pop @p354 :rule scope :premises (@p353)) % 159.04/159.30 (step-pop @p355 :rule scope :premises (@p354)) % 159.04/159.30 (step-pop @p356 :rule scope :premises (@p355)) % 159.04/159.30 (step-pop @p357 :rule scope :premises (@p356)) % 159.04/159.30 (step-pop @p358 :rule scope :premises (@p357)) % 159.04/159.30 (step-pop @p359 :rule scope :premises (@p358)) % 159.04/159.30 (step-pop @p360 :rule scope :premises (@p359)) % 159.04/159.30 (step-pop @p361 :rule scope :premises (@p360)) % 159.04/159.30 (step-pop @p362 :rule scope :premises (@p361)) % 159.04/159.30 (step-pop @p363 :rule scope :premises (@p362)) % 159.04/159.30 (step-pop @p364 :rule scope :premises (@p363)) % 159.04/159.30 (step-pop @p365 :rule scope :premises (@p364)) % 159.04/159.30 (step-pop @p366 :rule scope :premises (@p365)) % 159.04/159.30 (step-pop @p367 :rule scope :premises (@p366)) % 159.04/159.30 (step-pop @p368 :rule scope :premises (@p367)) % 159.04/159.30 (step-pop @p369 :rule scope :premises (@p368)) % 159.04/159.30 (step-pop @p370 :rule scope :premises (@p369)) % 159.04/159.30 (step-pop @p371 :rule scope :premises (@p370)) % 159.04/159.30 (step-pop @p372 :rule scope :premises (@p371)) % 159.04/159.30 (step-pop @p373 :rule scope :premises (@p372)) % 159.04/159.30 (step-pop @p374 :rule scope :premises (@p373)) % 159.04/159.30 (step-pop @p375 :rule scope :premises (@p374)) % 159.04/159.30 (step-pop @p376 :rule scope :premises (@p375)) % 159.04/159.30 (step-pop @p377 :rule scope :premises (@p376)) % 159.04/159.30 (step-pop @p378 :rule scope :premises (@p377)) % 159.04/159.30 (step-pop @p379 :rule scope :premises (@p378)) % 159.04/159.30 (step-pop @p380 :rule scope :premises (@p379)) % 159.04/159.30 (step-pop @p381 :rule scope :premises (@p380)) % 159.04/159.30 (step-pop @p382 :rule scope :premises (@p381)) % 159.04/159.30 (step-pop @p383 :rule scope :premises (@p382)) % 159.04/159.30 (step-pop @p384 :rule scope :premises (@p383)) % 159.04/159.30 (step-pop @p385 :rule scope :premises (@p384)) % 159.04/159.30 (step-pop @p386 :rule scope :premises (@p385)) % 159.04/159.30 (step-pop @p387 :rule scope :premises (@p386)) % 159.04/159.30 (step-pop @p388 :rule scope :premises (@p387)) % 159.04/159.30 (step @p256 :rule process_scope :premises (@p388) :args (@t150)) % 159.04/159.30 (step @p298 :rule implies_elim :premises (@p256)) % 159.04/159.30 (step @p299 :rule cnf_and_neg :args (@t151)) % 159.04/159.30 (step @p300 :rule resolution :premises (@p299 @p298) :args (true @t151)) % 159.04/159.30 (step @p301 :rule reordering :premises (@p300) :args ((or @t150 (not @t66) (not @t67) (not @t68) (not @t69) (not @t70) (not @t71) (not @t73) (not @t76) (not @t78) (not @t80) (not @t82) (not @t84) (not @t43) (not @t87) (not @t89) (not @t91) (not @t93) (not @t96) (not @t98) (not @t100) (not @t103) (not @t105) (not @t107) (not @t109) (not @t111) (not @t113) (not @t116) (not @t55) (not @t118) (not @t120) (not @t122) (not @t125) (not @t128) (not @t130) (not @t133) (not @t136) (not @t138) (not @t141) (not @t143) (not @t144) (not @t146)))) % 159.04/159.30 (step @p302 false :rule chain_m_resolution :premises (@p301 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p81 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p57 @p56 @p55 @p54 @p44 @p43 @p42 @p38 @p34 @p33 @p29 @p28 @p24 @p23 @p22 @p21 @p17) :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 true) (@list @t146 @t144 @t143 @t141 @t138 @t136 @t133 @t130 @t128 @t125 @t122 @t120 @t118 @t55 @t116 @t113 @t111 @t109 @t107 @t105 @t103 @t100 @t98 @t96 @t93 @t91 @t89 @t87 @t43 @t84 @t82 @t80 @t78 @t76 @t73 @t71 @t70 @t69 @t68 @t67 @t66 @t150))) % 159.04/159.30 ) % 159.04/159.30 % SZS output end Proof % 159.04/159.30 % cvc5 exiting %------------------------------------------------------------------------------