%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA034-10 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:06:36 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA034-10 : TPTP v9.2.1. Released v7.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 02:19:45 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Unsatisfiable % 0.38/0.59 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.v_ca $$unsorted) % 0.38/0.60 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.v_a (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.v_x $$unsorted) % 0.38/0.60 (declare-const tptp.v_c $$unsorted) % 0.38/0.60 (declare-const tptp.ifeq2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.v_b (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.true $$unsorted) % 0.38/0.60 (declare-const tptp.t_b $$unsorted) % 0.38/0.60 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.c_0 $$unsorted) % 0.38/0.60 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.c_less (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__abs (-> $$unsorted $$unsorted)) % 0.38/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.60 (define @t2 () (@var "C" $$unsorted)) % 0.38/0.60 (define @t3 () (@var "A" $$unsorted)) % 0.38/0.60 (define @t4 () (tptp.ifeq2 @t3 @t3 @t1 @t2)) % 0.38/0.60 (define @t5 () (@list @t3 @t1 @t2)) % 0.38/0.60 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.38/0.60 (define @t7 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 0.38/0.60 (define @t8 () (forall @t5 (= @t7 @t1))) % 0.38/0.60 (define @t9 () (@var "T_a" $$unsorted)) % 0.38/0.60 (define @t10 () (@var "V_b" $$unsorted)) % 0.38/0.60 (define @t11 () (@var "V_a" $$unsorted)) % 0.38/0.60 (define @t12 () (tptp.c_times @t11 @t10 @t9)) % 0.38/0.60 (define @t13 () (tptp.c_HOL_Oabs @t12 @t9)) % 0.38/0.60 (define @t14 () (tptp.c_HOL_Oabs @t11 @t9)) % 0.38/0.60 (define @t15 () (tptp.ifeq2 (tptp.class_Ring__and__Field_Oordered__idom @t9) tptp.true (tptp.c_times @t14 (tptp.c_HOL_Oabs @t10 @t9) @t9) @t13)) % 0.38/0.60 (define @t16 () (@list @t9 @t11 @t10)) % 0.38/0.60 (define @t17 () (forall @t16 (= @t15 @t13))) % 0.38/0.60 (define @t18 () (@var "V_d" $$unsorted)) % 0.38/0.60 (define @t19 () (@var "V_c" $$unsorted)) % 0.38/0.60 (define @t20 () (tptp.c_lessequals tptp.c_0 @t10 @t9)) % 0.38/0.60 (define @t21 () (tptp.ifeq @t20 tptp.true (tptp.ifeq (tptp.c_lessequals tptp.c_0 @t19 @t9) tptp.true (tptp.ifeq (tptp.c_lessequals @t11 @t10 @t9) tptp.true (tptp.ifeq (tptp.c_lessequals @t19 @t18 @t9) tptp.true (tptp.ifeq (tptp.class_Ring__and__Field_Opordered__semiring @t9) tptp.true (tptp.c_lessequals (tptp.c_times @t11 @t19 @t9) (tptp.c_times @t10 @t18 @t9) @t9) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) % 0.38/0.60 (define @t22 () (forall (@list @t10 @t9 @t19 @t11 @t18) (= @t21 tptp.true))) % 0.38/0.60 (define @t23 () (tptp.ifeq (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t9) tptp.true (tptp.ifeq (tptp.c_lessequals tptp.c_0 @t11 @t9) tptp.true (tptp.ifeq @t20 tptp.true (tptp.c_lessequals tptp.c_0 @t12 @t9) tptp.true) tptp.true) tptp.true)) % 0.38/0.60 (define @t24 () (forall @t16 (= @t23 tptp.true))) % 0.38/0.60 (define @t25 () (@var "V_y" $$unsorted)) % 0.38/0.60 (define @t26 () (@var "V_x" $$unsorted)) % 0.38/0.60 (define @t27 () (tptp.ifeq (tptp.c_less @t26 @t25 @t9) tptp.true (tptp.ifeq (tptp.class_Orderings_Oorder @t9) tptp.true (tptp.c_lessequals @t26 @t25 @t9) tptp.true) tptp.true)) % 0.38/0.60 (define @t28 () (forall (@list @t26 @t25 @t9) (= @t27 tptp.true))) % 0.38/0.60 (define @t29 () (tptp.ifeq (tptp.class_OrderedGroup_Olordered__ab__group__abs @t9) tptp.true (tptp.c_lessequals tptp.c_0 @t14 @t9) tptp.true)) % 0.38/0.60 (define @t30 () (forall (@list @t9 @t11) (= @t29 tptp.true))) % 0.38/0.60 (define @t31 () (tptp.c_less tptp.c_0 tptp.v_c tptp.t_b)) % 0.38/0.60 (define @t32 () (tptp.v_f tptp.v_x)) % 0.38/0.60 (define @t33 () (tptp.c_HOL_Oabs @t32 tptp.t_b)) % 0.38/0.60 (define @t34 () (tptp.c_times tptp.v_c @t33 tptp.t_b)) % 0.38/0.60 (define @t35 () (tptp.v_a tptp.v_x)) % 0.38/0.60 (define @t36 () (tptp.c_HOL_Oabs @t35 tptp.t_b)) % 0.38/0.60 (define @t37 () (tptp.c_lessequals @t36 @t34 tptp.t_b)) % 0.38/0.60 (define @t38 () (tptp.v_g tptp.v_x)) % 0.38/0.60 (define @t39 () (tptp.c_times tptp.v_ca (tptp.c_HOL_Oabs @t38 tptp.t_b) tptp.t_b)) % 0.38/0.60 (define @t40 () (tptp.v_b tptp.v_x)) % 0.38/0.60 (define @t41 () (tptp.c_HOL_Oabs @t40 tptp.t_b)) % 0.38/0.60 (define @t42 () (tptp.c_lessequals @t41 @t39 tptp.t_b)) % 0.38/0.60 (define @t43 () (tptp.c_times @t34 @t39 tptp.t_b)) % 0.38/0.60 (define @t44 () (tptp.c_times (tptp.c_times tptp.v_c tptp.v_ca tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_times @t32 @t38 tptp.t_b) tptp.t_b) tptp.t_b)) % 0.38/0.60 (define @t45 () (= @t44 @t43)) % 0.38/0.60 (define @t46 () (tptp.c_HOL_Oabs (tptp.c_times @t35 @t40 tptp.t_b) tptp.t_b)) % 0.38/0.60 (define @t47 () (tptp.c_lessequals @t46 @t44 tptp.t_b)) % 0.38/0.60 (define @t48 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.38/0.60 (define @t49 () (@var "T" $$unsorted)) % 0.38/0.60 (define @t50 () (tptp.class_OrderedGroup_Olordered__ab__group__abs @t49)) % 0.38/0.60 (define @t51 () (tptp.ifeq @t50 tptp.true (tptp.class_Orderings_Oorder @t49) tptp.true)) % 0.38/0.60 (define @t52 () (@list @t49)) % 0.38/0.60 (define @t53 () (forall @t52 (= @t51 tptp.true))) % 0.38/0.60 (define @t54 () (tptp.class_Ring__and__Field_Oordered__idom @t49)) % 0.38/0.60 (define @t55 () (tptp.ifeq @t54 tptp.true (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t49) tptp.true)) % 0.38/0.60 (define @t56 () (forall @t52 (= @t55 tptp.true))) % 0.38/0.60 (define @t57 () (tptp.ifeq @t54 tptp.true (tptp.class_Ring__and__Field_Opordered__semiring @t49) tptp.true)) % 0.38/0.60 (define @t58 () (forall @t52 (= @t57 tptp.true))) % 0.38/0.60 (define @t59 () (tptp.ifeq @t54 tptp.true @t50 tptp.true)) % 0.38/0.60 (define @t60 () (forall @t52 (= @t59 tptp.true))) % 0.38/0.60 (define @t61 () (@list tptp.t_b)) % 0.38/0.60 (define @t62 () (tptp.c_times @t36 @t41 tptp.t_b)) % 0.38/0.60 (define @t63 () (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.t_b)) % 0.38/0.60 (define @t64 () (tptp.c_lessequals tptp.c_0 tptp.v_c tptp.t_b)) % 0.38/0.60 (define @t65 () (tptp.class_Orderings_Oorder tptp.t_b)) % 0.38/0.60 (define @t66 () (tptp.ifeq @t65 tptp.true @t64 tptp.true)) % 0.38/0.60 (define @t67 () (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) % 0.38/0.60 (define @t68 () (tptp.class_Ring__and__Field_Opordered__semiring tptp.t_b)) % 0.38/0.60 (define @t69 () (tptp.c_lessequals tptp.c_0 @t33 tptp.t_b)) % 0.38/0.60 (define @t70 () (tptp.c_lessequals tptp.c_0 @t34 tptp.t_b)) % 0.38/0.60 (define @t71 () (tptp.ifeq @t64 tptp.true (tptp.ifeq @t69 tptp.true @t70 tptp.true) tptp.true)) % 0.38/0.60 (define @t72 () (tptp.c_lessequals tptp.c_0 @t41 tptp.t_b)) % 0.38/0.60 (define @t73 () (tptp.c_lessequals @t62 @t43 tptp.t_b)) % 0.38/0.60 (define @t74 () (tptp.ifeq @t68 tptp.true @t73 tptp.true)) % 0.38/0.60 (define @t75 () (tptp.ifeq @t42 tptp.true @t74 tptp.true)) % 0.38/0.60 (define @t76 () (tptp.ifeq @t37 tptp.true @t75 tptp.true)) % 0.38/0.60 (define @t77 () (tptp.ifeq @t72 tptp.true @t76 tptp.true)) % 0.38/0.60 (define @t78 () (tptp.ifeq @t70 tptp.true @t77 tptp.true)) % 0.38/0.60 (define @t79 () (= tptp.true @t78)) % 0.38/0.60 (define @t80 () (not @t79)) % 0.38/0.60 (define @t81 () (= @t47 (tptp.ifeq tptp.true tptp.true @t47 tptp.true))) % 0.38/0.60 (define @t82 () (not @t81)) % 0.38/0.60 (define @t83 () (tptp.ifeq tptp.true tptp.true @t70 tptp.true)) % 0.38/0.60 (define @t84 () (= @t70 @t83)) % 0.38/0.60 (define @t85 () (not @t84)) % 0.38/0.60 (define @t86 () (= @t64 (tptp.ifeq tptp.true tptp.true @t64 tptp.true))) % 0.38/0.60 (define @t87 () (not @t86)) % 0.38/0.60 (define @t88 () (tptp.ifeq tptp.true tptp.true @t72 tptp.true)) % 0.38/0.60 (define @t89 () (= @t72 @t88)) % 0.38/0.60 (define @t90 () (not @t89)) % 0.38/0.60 (define @t91 () (tptp.ifeq tptp.true tptp.true @t65 tptp.true)) % 0.38/0.60 (define @t92 () (= @t65 @t91)) % 0.38/0.60 (define @t93 () (not @t92)) % 0.38/0.60 (define @t94 () (tptp.ifeq tptp.true tptp.true @t71 tptp.true)) % 0.38/0.60 (define @t95 () (= @t71 @t94)) % 0.38/0.60 (define @t96 () (not @t95)) % 0.38/0.60 (define @t97 () (= @t69 (tptp.ifeq tptp.true tptp.true @t69 tptp.true))) % 0.38/0.60 (define @t98 () (not @t97)) % 0.38/0.60 (define @t99 () (= tptp.true (tptp.ifeq @t67 tptp.true @t65 tptp.true))) % 0.38/0.60 (define @t100 () (not @t99)) % 0.38/0.60 (define @t101 () (tptp.ifeq tptp.true tptp.true @t68 tptp.true)) % 0.38/0.60 (define @t102 () (= @t68 @t101)) % 0.38/0.60 (define @t103 () (not @t102)) % 0.38/0.60 (define @t104 () (= @t67 (tptp.ifeq tptp.true tptp.true @t67 tptp.true))) % 0.38/0.60 (define @t105 () (not @t104)) % 0.38/0.60 (define @t106 () (= @t66 (tptp.ifeq tptp.true tptp.true @t66 tptp.true))) % 0.38/0.60 (define @t107 () (not @t106)) % 0.38/0.60 (define @t108 () (tptp.ifeq tptp.true tptp.true @t63 tptp.true)) % 0.38/0.60 (define @t109 () (= @t63 @t108)) % 0.38/0.60 (define @t110 () (not @t109)) % 0.38/0.60 (define @t111 () (tptp.ifeq2 tptp.true tptp.true @t62 @t46)) % 0.38/0.60 (define @t112 () (= @t62 @t111)) % 0.38/0.60 (define @t113 () (not @t112)) % 0.38/0.60 (define @t114 () (tptp.ifeq @t48 tptp.true @t67 tptp.true)) % 0.38/0.60 (define @t115 () (= tptp.true @t114)) % 0.38/0.60 (define @t116 () (not @t115)) % 0.38/0.60 (define @t117 () (= tptp.true (tptp.ifeq @t48 tptp.true @t68 tptp.true))) % 0.38/0.60 (define @t118 () (not @t117)) % 0.38/0.60 (define @t119 () (= tptp.true (tptp.ifeq @t48 tptp.true @t63 tptp.true))) % 0.38/0.60 (define @t120 () (not @t119)) % 0.38/0.60 (define @t121 () (= tptp.true (tptp.ifeq @t67 tptp.true @t72 tptp.true))) % 0.38/0.60 (define @t122 () (not @t121)) % 0.38/0.60 (define @t123 () (tptp.ifeq @t67 tptp.true @t69 tptp.true)) % 0.38/0.60 (define @t124 () (= tptp.true @t123)) % 0.38/0.60 (define @t125 () (not @t124)) % 0.38/0.60 (define @t126 () (tptp.ifeq @t31 tptp.true @t66 tptp.true)) % 0.38/0.60 (define @t127 () (= tptp.true @t126)) % 0.38/0.60 (define @t128 () (not @t127)) % 0.38/0.60 (define @t129 () (= tptp.true (tptp.ifeq @t63 tptp.true @t71 tptp.true))) % 0.38/0.60 (define @t130 () (not @t129)) % 0.38/0.60 (define @t131 () (= @t46 (tptp.ifeq2 @t48 tptp.true @t62 @t46))) % 0.38/0.60 (define @t132 () (not @t131)) % 0.38/0.60 (define @t133 () (= tptp.true @t48)) % 0.38/0.60 (define @t134 () (not @t133)) % 0.38/0.60 (define @t135 () (= tptp.true @t47)) % 0.38/0.60 (define @t136 () (= tptp.true @t42)) % 0.38/0.60 (define @t137 () (not @t136)) % 0.38/0.60 (define @t138 () (= tptp.true @t37)) % 0.38/0.60 (define @t139 () (not @t138)) % 0.38/0.60 (define @t140 () (= tptp.true @t31)) % 0.38/0.60 (define @t141 () (not @t140)) % 0.38/0.60 (define @t142 () (not @t45)) % 0.38/0.60 (define @t143 () (not @t135)) % 0.38/0.60 (define @t144 () (tptp.ifeq @t65 tptp.true @t70 tptp.true)) % 0.38/0.60 (define @t145 () (and @t45 @t140 @t138 @t136 @t143 @t133 @t131 @t129 @t127 @t124 @t121 @t119 @t117 @t115 @t112 @t109 @t106 @t104 @t102 @t99 @t97 @t95 @t92 @t89 @t86 @t84 @t81)) % 0.38/0.60 (assume @p1 @t6) % 0.38/0.60 (assume @p2 @t8) % 0.38/0.60 (assume @p3 @t17) % 0.38/0.60 (assume @p4 @t22) % 0.38/0.60 (assume @p5 @t24) % 0.38/0.60 (assume @p6 @t28) % 0.38/0.60 (assume @p7 @t30) % 0.38/0.60 (assume @p8 (= @t31 tptp.true)) % 0.38/0.60 (assume @p9 (= @t37 tptp.true)) % 0.38/0.60 (assume @p10 (= @t42 tptp.true)) % 0.38/0.60 (assume @p11 @t45) % 0.38/0.60 (assume @p12 (not (= @t47 tptp.true))) % 0.38/0.60 (assume @p13 (= @t48 tptp.true)) % 0.38/0.60 (assume @p14 @t53) % 0.38/0.60 (assume @p15 @t56) % 0.38/0.60 (assume @p16 @t58) % 0.38/0.60 (assume @p17 @t60) % 0.38/0.60 (step @p18 :rule symm :premises (@p8)) % 0.38/0.60 (step @p19 :rule symm :premises (@p9)) % 0.38/0.60 (step @p20 :rule symm :premises (@p10)) % 0.38/0.60 (step @p21 :rule symm :premises (@p12)) % 0.38/0.60 (step @p22 :rule symm :premises (@p13)) % 0.38/0.60 (step @p23 :rule eq-symm :args (@t15 @t13)) % 0.38/0.60 (step @p24 :rule cong :premises (@p23) :args (@t17)) % 0.38/0.60 (step @p25 :rule eq_resolve :premises (@p3 @p24)) % 0.38/0.60 (step @p26 :rule instantiate :premises (@p25) :args ((@list tptp.t_b @t35 @t40))) % 0.38/0.60 (step @p27 :rule eq-symm :args (@t23 tptp.true)) % 0.38/0.60 (step @p28 :rule cong :premises (@p27) :args (@t24)) % 0.38/0.60 (step @p29 :rule eq_resolve :premises (@p5 @p28)) % 0.38/0.60 (step @p30 :rule instantiate :premises (@p29) :args ((@list tptp.t_b tptp.v_c @t33))) % 0.38/0.60 (step @p31 :rule eq-symm :args (@t27 tptp.true)) % 0.38/0.60 (step @p32 :rule cong :premises (@p31) :args (@t28)) % 0.38/0.60 (step @p33 :rule eq_resolve :premises (@p6 @p32)) % 0.38/0.60 (step @p34 :rule instantiate :premises (@p33) :args ((@list tptp.c_0 tptp.v_c tptp.t_b))) % 0.38/0.60 (step @p35 :rule eq-symm :args (@t29 tptp.true)) % 0.38/0.60 (step @p36 :rule cong :premises (@p35) :args (@t30)) % 0.38/0.60 (step @p37 :rule eq_resolve :premises (@p7 @p36)) % 0.38/0.60 (step @p38 :rule instantiate :premises (@p37) :args ((@list tptp.t_b @t32))) % 0.38/0.60 (step @p39 :rule instantiate :premises (@p37) :args ((@list tptp.t_b @t40))) % 0.38/0.60 (step @p40 :rule eq-symm :args (@t55 tptp.true)) % 0.38/0.60 (step @p41 :rule cong :premises (@p40) :args (@t56)) % 0.38/0.60 (step @p42 :rule eq_resolve :premises (@p15 @p41)) % 0.38/0.60 (step @p43 :rule instantiate :premises (@p42) :args (@t61)) % 0.38/0.60 (step @p44 :rule eq-symm :args (@t57 tptp.true)) % 0.38/0.60 (step @p45 :rule cong :premises (@p44) :args (@t58)) % 0.38/0.60 (step @p46 :rule eq_resolve :premises (@p16 @p45)) % 0.38/0.60 (step @p47 :rule instantiate :premises (@p46) :args (@t61)) % 0.38/0.60 (step @p48 :rule eq-symm :args (@t59 tptp.true)) % 0.38/0.60 (step @p49 :rule cong :premises (@p48) :args (@t60)) % 0.38/0.60 (step @p50 :rule eq_resolve :premises (@p17 @p49)) % 0.38/0.60 (step @p51 :rule instantiate :premises (@p50) :args (@t61)) % 0.38/0.60 (step @p52 :rule eq-symm :args (@t4 @t1)) % 0.38/0.60 (step @p53 :rule cong :premises (@p52) :args (@t6)) % 0.38/0.60 (step @p54 :rule eq_resolve :premises (@p1 @p53)) % 0.38/0.60 (step @p55 :rule instantiate :premises (@p54) :args ((@list tptp.true @t62 @t46))) % 0.38/0.60 (step @p56 :rule eq-symm :args (@t7 @t1)) % 0.38/0.60 (step @p57 :rule cong :premises (@p56) :args (@t8)) % 0.38/0.60 (step @p58 :rule eq_resolve :premises (@p2 @p57)) % 0.38/0.60 (step @p59 :rule instantiate :premises (@p58) :args ((@list tptp.true @t63 tptp.true))) % 0.38/0.60 (step @p60 :rule instantiate :premises (@p58) :args ((@list tptp.true @t66 tptp.true))) % 0.38/0.60 (step @p61 :rule instantiate :premises (@p58) :args ((@list tptp.true @t67 tptp.true))) % 0.38/0.60 (step @p62 :rule instantiate :premises (@p58) :args ((@list tptp.true @t68 tptp.true))) % 0.38/0.60 (step @p63 :rule eq-symm :args (@t51 tptp.true)) % 0.38/0.60 (step @p64 :rule cong :premises (@p63) :args (@t53)) % 0.38/0.60 (step @p65 :rule eq_resolve :premises (@p14 @p64)) % 0.38/0.60 (step @p66 :rule instantiate :premises (@p65) :args (@t61)) % 0.38/0.60 (step @p67 :rule instantiate :premises (@p58) :args ((@list tptp.true @t69 tptp.true))) % 0.38/0.60 (step @p68 :rule instantiate :premises (@p58) :args ((@list tptp.true @t71 tptp.true))) % 0.38/0.60 (step @p69 :rule instantiate :premises (@p58) :args ((@list tptp.true @t65 tptp.true))) % 0.38/0.60 (step @p70 :rule instantiate :premises (@p58) :args ((@list tptp.true @t72 tptp.true))) % 0.38/0.60 (step @p71 :rule instantiate :premises (@p58) :args ((@list tptp.true @t64 tptp.true))) % 0.38/0.60 (step @p72 :rule instantiate :premises (@p58) :args ((@list tptp.true @t70 tptp.true))) % 0.38/0.60 (step @p73 :rule instantiate :premises (@p58) :args ((@list tptp.true @t47 tptp.true))) % 0.38/0.60 (step @p74 :rule eq-symm :args (@t21 tptp.true)) % 0.38/0.60 (step @p75 :rule cong :premises (@p74) :args (@t22)) % 0.38/0.60 (step @p76 :rule eq_resolve :premises (@p4 @p75)) % 0.38/0.60 (step @p77 :rule instantiate :premises (@p76) :args ((@list @t34 tptp.t_b @t41 @t36 @t39))) % 0.38/0.60 (step @p78 :rule refl :args (@t80)) % 0.38/0.60 (step @p79 :rule refl :args (@t82)) % 0.38/0.60 (step @p80 :rule refl :args (@t85)) % 0.38/0.60 (step @p81 :rule refl :args (@t87)) % 0.38/0.60 (step @p82 :rule refl :args (@t90)) % 0.38/0.60 (step @p83 :rule refl :args (@t93)) % 0.38/0.60 (step @p84 :rule refl :args (@t96)) % 0.38/0.60 (step @p85 :rule refl :args (@t98)) % 0.38/0.60 (step @p86 :rule refl :args (@t100)) % 0.38/0.60 (step @p87 :rule refl :args (@t103)) % 0.38/0.60 (step @p88 :rule refl :args (@t105)) % 0.38/0.60 (step @p89 :rule refl :args (@t107)) % 0.38/0.60 (step @p90 :rule refl :args (@t110)) % 0.38/0.60 (step @p91 :rule refl :args (@t113)) % 0.38/0.60 (step @p92 :rule refl :args (@t116)) % 0.38/0.60 (step @p93 :rule refl :args (@t118)) % 0.38/0.60 (step @p94 :rule refl :args (@t120)) % 0.38/0.60 (step @p95 :rule refl :args (@t122)) % 0.38/0.60 (step @p96 :rule refl :args (@t125)) % 0.38/0.60 (step @p97 :rule refl :args (@t128)) % 0.38/0.60 (step @p98 :rule refl :args (@t130)) % 0.38/0.60 (step @p99 :rule refl :args (@t132)) % 0.38/0.60 (step @p100 :rule refl :args (@t134)) % 0.38/0.60 (step @p101 :rule bool-double-not-elim :args (@t135)) % 0.38/0.60 (step @p102 :rule refl :args (@t137)) % 0.38/0.60 (step @p103 :rule refl :args (@t139)) % 0.38/0.60 (step @p104 :rule refl :args (@t141)) % 0.38/0.60 (step @p105 :rule refl :args (@t142)) % 0.38/0.60 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p81 @p80 @p79 @p78) :args ((or @t142 @t141 @t139 @t137 (not @t143) @t134 @t132 @t130 @t128 @t125 @t122 @t120 @t118 @t116 @t113 @t110 @t107 @t105 @t103 @t100 @t98 @t96 @t93 @t90 @t87 @t85 @t82 @t80))) % 0.38/0.60 (assume-push @p258 @t45) % 0.38/0.60 (assume-push @p259 @t140) % 0.38/0.60 (assume-push @p260 @t138) % 0.38/0.60 (assume-push @p261 @t136) % 0.38/0.60 (assume-push @p262 @t143) % 0.38/0.60 (assume-push @p263 @t133) % 0.38/0.60 (assume-push @p264 @t131) % 0.38/0.60 (assume-push @p265 @t129) % 0.38/0.60 (assume-push @p266 @t127) % 0.38/0.60 (assume-push @p267 @t124) % 0.38/0.60 (assume-push @p268 @t121) % 0.38/0.60 (assume-push @p269 @t119) % 0.38/0.60 (assume-push @p270 @t117) % 0.38/0.60 (assume-push @p271 @t115) % 0.38/0.60 (assume-push @p272 @t112) % 0.38/0.60 (assume-push @p273 @t109) % 0.38/0.60 (assume-push @p274 @t106) % 0.38/0.60 (assume-push @p275 @t104) % 0.38/0.60 (assume-push @p276 @t102) % 0.38/0.60 (assume-push @p277 @t99) % 0.38/0.60 (assume-push @p278 @t97) % 0.38/0.60 (assume-push @p279 @t95) % 0.38/0.60 (assume-push @p280 @t92) % 0.38/0.60 (assume-push @p281 @t89) % 0.38/0.60 (assume-push @p282 @t86) % 0.38/0.60 (assume-push @p283 @t84) % 0.38/0.60 (assume-push @p284 @t81) % 0.38/0.60 (step @p134 :rule false_intro :premises (@p21)) % 0.38/0.60 (step @p135 :rule symm :premises (@p73)) % 0.38/0.60 (step @p136 :rule refl :args (tptp.true)) % 0.38/0.60 (step @p137 :rule refl :args (@t47)) % 0.38/0.60 (step @p138 :rule symm :premises (@p66)) % 0.38/0.60 (step @p139 :rule refl :args (@t65)) % 0.38/0.60 (step @p140 :rule symm :premises (@p61)) % 0.38/0.60 (step @p141 :rule refl :args (@t67)) % 0.38/0.60 (step @p142 :rule cong :premises (@p13 @p136 @p141 @p136) :args (@t114)) % 0.38/0.60 (step @p143 :rule trans :premises (@p8 @p51 @p142 @p140)) % 0.38/0.60 (step @p144 :rule trans :premises (@p18 @p143)) % 0.38/0.60 (step @p145 :rule cong :premises (@p144 @p136 @p139 @p136) :args (@t91)) % 0.38/0.60 (step @p146 :rule trans :premises (@p69 @p145 @p138 @p18)) % 0.38/0.60 (step @p147 :rule trans :premises (@p146 @p8)) % 0.38/0.60 (step @p148 :rule cong :premises (@p147 @p136 @p137 @p136) :args ((tptp.ifeq @t65 tptp.true @t47 tptp.true))) % 0.38/0.60 (step @p149 :rule refl :args (tptp.t_b)) % 0.38/0.60 (step @p150 :rule refl :args (@t44)) % 0.38/0.60 (step @p151 :rule symm :premises (@p26)) % 0.38/0.60 (step @p152 :rule refl :args (@t46)) % 0.38/0.60 (step @p153 :rule refl :args (@t62)) % 0.38/0.60 (step @p154 :rule cong :premises (@p22 @p136 @p153 @p152) :args (@t111)) % 0.38/0.60 (step @p155 :rule trans :premises (@p55 @p154 @p151)) % 0.38/0.60 (step @p156 :rule cong :premises (@p155 @p150 @p149) :args ((tptp.c_lessequals @t62 @t44 tptp.t_b))) % 0.38/0.60 (step @p157 :rule symm :premises (@p156)) % 0.38/0.60 (step @p158 :rule symm :premises (@p11)) % 0.38/0.60 (step @p159 :rule cong :premises (@p155 @p158 @p149) :args (@t73)) % 0.38/0.60 (step @p160 :rule symm :premises (@p146)) % 0.38/0.60 (step @p161 :rule symm :premises (@p47)) % 0.38/0.60 (step @p162 :rule refl :args (@t68)) % 0.38/0.60 (step @p163 :rule cong :premises (@p22 @p136 @p162 @p136) :args (@t101)) % 0.38/0.60 (step @p164 :rule trans :premises (@p62 @p163 @p161 @p18)) % 0.38/0.60 (step @p165 :rule trans :premises (@p164 @p160)) % 0.38/0.60 (step @p166 :rule cong :premises (@p165 @p136 @p159 @p136) :args (@t74)) % 0.38/0.60 (step @p167 :rule trans :premises (@p166 @p148 @p135 @p157)) % 0.38/0.60 (step @p168 :rule symm :premises (@p166)) % 0.38/0.60 (step @p169 :rule trans :premises (@p167 @p156)) % 0.38/0.60 (step @p170 :rule trans :premises (@p10 @p18)) % 0.38/0.60 (step @p171 :rule trans :premises (@p170 @p160)) % 0.38/0.60 (step @p172 :rule cong :premises (@p171 @p136 @p169 @p136) :args (@t75)) % 0.38/0.60 (step @p173 :rule trans :premises (@p172 @p168)) % 0.38/0.60 (step @p174 :rule trans :premises (@p173 @p167 @p156)) % 0.38/0.60 (step @p175 :rule trans :premises (@p9 @p18)) % 0.38/0.60 (step @p176 :rule trans :premises (@p175 @p160)) % 0.38/0.60 (step @p177 :rule cong :premises (@p176 @p136 @p174 @p136) :args (@t76)) % 0.38/0.60 (step @p178 :rule trans :premises (@p177 @p168)) % 0.38/0.60 (step @p179 :rule trans :premises (@p178 @p167 @p156)) % 0.38/0.60 (step @p180 :rule symm :premises (@p39)) % 0.38/0.60 (step @p181 :rule refl :args (@t72)) % 0.38/0.60 (step @p182 :rule cong :premises (@p144 @p136 @p181 @p136) :args (@t88)) % 0.38/0.60 (step @p183 :rule trans :premises (@p70 @p182 @p180 @p18)) % 0.38/0.60 (step @p184 :rule trans :premises (@p183 @p160)) % 0.38/0.60 (step @p185 :rule cong :premises (@p184 @p136 @p179 @p136) :args (@t77)) % 0.38/0.60 (step @p186 :rule trans :premises (@p185 @p168)) % 0.38/0.60 (step @p187 :rule trans :premises (@p186 @p167 @p156)) % 0.38/0.60 (step @p188 :rule symm :premises (@p30)) % 0.38/0.60 (step @p189 :rule refl :args (@t71)) % 0.38/0.60 (step @p190 :rule symm :premises (@p43)) % 0.38/0.60 (step @p191 :rule refl :args (@t63)) % 0.38/0.60 (step @p192 :rule cong :premises (@p22 @p136 @p191 @p136) :args (@t108)) % 0.38/0.60 (step @p193 :rule trans :premises (@p59 @p192 @p190 @p18)) % 0.38/0.60 (step @p194 :rule symm :premises (@p193)) % 0.38/0.60 (step @p195 :rule trans :premises (@p18 @p194)) % 0.38/0.60 (step @p196 :rule cong :premises (@p195 @p136 @p189 @p136) :args (@t94)) % 0.38/0.60 (step @p197 :rule refl :args (@t70)) % 0.38/0.60 (step @p198 :rule symm :premises (@p67)) % 0.38/0.60 (step @p199 :rule refl :args (@t69)) % 0.38/0.60 (step @p200 :rule symm :premises (@p144)) % 0.38/0.60 (step @p201 :rule cong :premises (@p200 @p136 @p199 @p136) :args (@t123)) % 0.38/0.60 (step @p202 :rule trans :premises (@p8 @p38 @p201 @p198)) % 0.38/0.60 (step @p203 :rule trans :premises (@p146 @p202)) % 0.38/0.60 (step @p204 :rule cong :premises (@p203 @p136 @p197 @p136) :args (@t144)) % 0.38/0.60 (step @p205 :rule symm :premises (@p147)) % 0.38/0.60 (step @p206 :rule cong :premises (@p205 @p136 @p197 @p136) :args (@t83)) % 0.38/0.60 (step @p207 :rule trans :premises (@p72 @p206 @p204)) % 0.38/0.60 (step @p208 :rule symm :premises (@p71)) % 0.38/0.60 (step @p209 :rule refl :args (@t64)) % 0.38/0.60 (step @p210 :rule cong :premises (@p147 @p136 @p209 @p136) :args (@t66)) % 0.38/0.60 (step @p211 :rule symm :premises (@p60)) % 0.38/0.60 (step @p212 :rule refl :args (@t66)) % 0.38/0.60 (step @p213 :rule cong :premises (@p8 @p136 @p212 @p136) :args (@t126)) % 0.38/0.60 (step @p214 :rule trans :premises (@p8 @p34 @p213 @p211 @p210 @p208)) % 0.38/0.60 (step @p215 :rule trans :premises (@p146 @p214)) % 0.38/0.60 (step @p216 :rule cong :premises (@p215 @p136 @p207 @p136) :args (@t144)) % 0.38/0.60 (step @p217 :rule trans :premises (@p72 @p206 @p216 @p68 @p196 @p188 @p18)) % 0.38/0.60 (step @p218 :rule trans :premises (@p217 @p160)) % 0.38/0.60 (step @p219 :rule cong :premises (@p218 @p136 @p187 @p136) :args (@t78)) % 0.38/0.60 (step @p220 :rule trans :premises (@p219 @p148 @p135)) % 0.38/0.60 (step @p221 :rule cong :premises (@p136 @p220) :args (@t79)) % 0.38/0.60 (step @p222 :rule trans :premises (@p221 @p134)) % 0.38/0.60 (step @p223 :rule false_elim :premises (@p222)) % 0.38/0.60 (step-pop @p285 :rule scope :premises (@p223)) % 0.38/0.60 (step-pop @p286 :rule scope :premises (@p285)) % 0.38/0.60 (step-pop @p287 :rule scope :premises (@p286)) % 0.38/0.60 (step-pop @p288 :rule scope :premises (@p287)) % 0.38/0.60 (step-pop @p289 :rule scope :premises (@p288)) % 0.38/0.60 (step-pop @p290 :rule scope :premises (@p289)) % 0.38/0.60 (step-pop @p291 :rule scope :premises (@p290)) % 0.38/0.60 (step-pop @p292 :rule scope :premises (@p291)) % 0.38/0.60 (step-pop @p293 :rule scope :premises (@p292)) % 0.38/0.60 (step-pop @p294 :rule scope :premises (@p293)) % 0.38/0.60 (step-pop @p295 :rule scope :premises (@p294)) % 0.38/0.60 (step-pop @p296 :rule scope :premises (@p295)) % 0.38/0.60 (step-pop @p297 :rule scope :premises (@p296)) % 0.38/0.60 (step-pop @p298 :rule scope :premises (@p297)) % 0.38/0.60 (step-pop @p299 :rule scope :premises (@p298)) % 0.38/0.60 (step-pop @p300 :rule scope :premises (@p299)) % 0.38/0.60 (step-pop @p301 :rule scope :premises (@p300)) % 0.38/0.60 (step-pop @p302 :rule scope :premises (@p301)) % 0.38/0.60 (step-pop @p303 :rule scope :premises (@p302)) % 0.38/0.60 (step-pop @p304 :rule scope :premises (@p303)) % 0.38/0.60 (step-pop @p305 :rule scope :premises (@p304)) % 0.38/0.60 (step-pop @p306 :rule scope :premises (@p305)) % 0.38/0.60 (step-pop @p307 :rule scope :premises (@p306)) % 0.38/0.60 (step-pop @p308 :rule scope :premises (@p307)) % 0.38/0.60 (step-pop @p309 :rule scope :premises (@p308)) % 0.38/0.60 (step-pop @p310 :rule scope :premises (@p309)) % 0.38/0.60 (step-pop @p311 :rule scope :premises (@p310)) % 0.38/0.60 (step @p224 :rule process_scope :premises (@p311) :args (@t80)) % 0.38/0.60 (step @p252 :rule implies_elim :premises (@p224)) % 0.38/0.60 (step @p253 :rule cnf_and_neg :args (@t145)) % 0.38/0.60 (step @p254 :rule resolution :premises (@p253 @p252) :args (true @t145)) % 0.38/0.60 (step @p255 :rule eq_resolve :premises (@p254 @p106)) % 0.38/0.60 (step @p256 :rule reordering :premises (@p255) :args ((or @t135 @t141 @t139 @t137 @t142 @t134 @t132 @t130 @t128 @t125 @t122 @t120 @t118 @t116 @t113 @t110 @t107 @t105 @t103 @t100 @t98 @t96 @t93 @t90 @t87 @t85 @t82 @t80))) % 0.38/0.60 (step @p257 false :rule chain_m_resolution :premises (@p256 @p77 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p62 @p61 @p60 @p59 @p55 @p51 @p47 @p43 @p39 @p38 @p34 @p30 @p26 @p22 @p21 @p11 @p20 @p19 @p18) :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 true false false false false) (@list @t79 @t81 @t84 @t86 @t89 @t92 @t95 @t97 @t99 @t102 @t104 @t106 @t109 @t112 @t115 @t117 @t119 @t121 @t124 @t127 @t129 @t131 @t133 @t135 @t45 @t136 @t138 @t140))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------