%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV379+1 : TPTP v9.2.1. Released v3.3.0. % 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 09:01:19 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV379+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n013.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 20:06:00 EDT 2026 % 0.19/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.bottom $$unsorted) % 0.38/0.61 (declare-const tptp.create_slb $$unsorted) % 0.38/0.61 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.ok (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.bad $$unsorted) % 0.38/0.61 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (define @t1 () (@var "W" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.61 (define @t3 () (@var "V" $$unsorted)) % 0.38/0.61 (define @t4 () (tptp.less_than @t2 @t3)) % 0.38/0.61 (define @t5 () (@list @t2 @t3 @t1)) % 0.38/0.61 (define @t6 () (tptp.less_than @t3 @t2)) % 0.38/0.61 (define @t7 () (@list @t2 @t3)) % 0.38/0.61 (define @t8 () (@list @t2)) % 0.38/0.61 (define @t9 () (tptp.pair @t3 @t1)) % 0.38/0.61 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.38/0.61 (define @t11 () (= @t3 @t1)) % 0.38/0.61 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.38/0.61 (define @t13 () (@var "X" $$unsorted)) % 0.38/0.61 (define @t14 () (tptp.pair @t3 @t13)) % 0.38/0.61 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.38/0.61 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.38/0.61 (define @t17 () (@var "Y" $$unsorted)) % 0.38/0.61 (define @t18 () (@list @t2 @t3 @t1 @t13 @t17)) % 0.38/0.61 (define @t19 () (and (not @t11) @t12)) % 0.38/0.61 (define @t20 () (tptp.update_slb @t2 @t1)) % 0.38/0.61 (define @t21 () (tptp.update_slb @t15 @t1)) % 0.38/0.61 (define @t22 () (tptp.succ_cpq @t2 @t3)) % 0.38/0.61 (define @t23 () (tptp.triple @t2 tptp.create_slb @t3)) % 0.38/0.61 (define @t24 () (tptp.triple @t2 @t3 @t1)) % 0.38/0.61 (define @t25 () (tptp.check_cpq (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t13 @t17)) @t1))) % 0.38/0.61 (define @t26 () (tptp.contains_slb @t3 @t13)) % 0.38/0.61 (define @t27 () (tptp.triple @t2 @t3 tptp.bad)) % 0.38/0.61 (define @t28 () (tptp.ok @t27)) % 0.38/0.61 (define @t29 () (forall @t7 (= @t28 false))) % 0.38/0.61 (define @t30 () (= @t1 tptp.bad)) % 0.38/0.61 (define @t31 () (tptp.ok @t24)) % 0.38/0.61 (define @t32 () (not @t31)) % 0.38/0.61 (define @t33 () (forall @t5 (=> @t32 @t30))) % 0.38/0.61 (define @t34 () (tptp.remove_cpq @t24 @t13)) % 0.38/0.61 (define @t35 () (tptp.remove_slb @t3 @t13)) % 0.38/0.61 (define @t36 () (tptp.remove_pqp @t2 @t13)) % 0.38/0.61 (define @t37 () (tptp.lookup_slb @t3 @t13)) % 0.38/0.61 (define @t38 () (tptp.findmin_pqp_res @t2)) % 0.38/0.61 (define @t39 () (tptp.update_slb @t3 @t38)) % 0.38/0.61 (define @t40 () (tptp.findmin_cpq_eff @t24)) % 0.38/0.61 (define @t41 () (= @t40 (tptp.triple @t2 @t39 tptp.bad))) % 0.38/0.61 (define @t42 () (tptp.contains_slb @t3 @t38)) % 0.38/0.61 (define @t43 () (not @t42)) % 0.38/0.61 (define @t44 () (= @t3 tptp.create_slb)) % 0.38/0.61 (define @t45 () (not @t44)) % 0.38/0.61 (define @t46 () (and @t45 @t43)) % 0.38/0.61 (define @t47 () (forall @t16 (=> @t46 @t41))) % 0.38/0.61 (define @t48 () (tptp.lookup_slb @t3 @t38)) % 0.38/0.61 (define @t49 () (tptp.strictly_less_than @t38 @t48)) % 0.38/0.61 (define @t50 () (and @t45 @t42 @t49)) % 0.38/0.61 (define @t51 () (forall @t16 (=> @t50 @t41))) % 0.38/0.61 (define @t52 () (= @t40 (tptp.triple @t2 @t39 @t1))) % 0.38/0.61 (define @t53 () (tptp.less_than @t48 @t38)) % 0.38/0.61 (define @t54 () (and @t45 @t42 @t53)) % 0.38/0.61 (define @t55 () (forall @t16 (=> @t54 @t52))) % 0.38/0.61 (define @t56 () (tptp.findmin_cpq_res @t2)) % 0.38/0.61 (define @t57 () (not (tptp.ok @t40))) % 0.38/0.61 (define @t58 () (forall @t5 (=> @t32 @t57))) % 0.38/0.61 (define @t59 () (not @t58)) % 0.38/0.61 (define @t60 () (forall @t5 (or @t31 @t57))) % 0.38/0.61 (define @t61 () (@quantifiers_skolemize @t60 0)) % 0.38/0.61 (define @t62 () (tptp.findmin_pqp_res @t61)) % 0.38/0.61 (define @t63 () (@quantifiers_skolemize @t60 1)) % 0.38/0.61 (define @t64 () (tptp.lookup_slb @t63 @t62)) % 0.38/0.61 (define @t65 () (not @t49)) % 0.38/0.61 (define @t66 () (or @t44 @t43 @t65 @t41)) % 0.38/0.61 (define @t67 () (forall @t5 @t66)) % 0.38/0.61 (define @t68 () (not @t45)) % 0.38/0.61 (define @t69 () (or @t68 @t43 @t65)) % 0.38/0.61 (define @t70 () (tptp.update_slb @t63 @t62)) % 0.38/0.61 (define @t71 () (tptp.triple @t61 @t70 tptp.bad)) % 0.38/0.61 (define @t72 () (@quantifiers_skolemize @t60 2)) % 0.38/0.61 (define @t73 () (tptp.triple @t61 @t63 @t72)) % 0.38/0.61 (define @t74 () (tptp.findmin_cpq_eff @t73)) % 0.38/0.61 (define @t75 () (= @t74 @t71)) % 0.38/0.61 (define @t76 () (tptp.strictly_less_than @t62 @t64)) % 0.38/0.61 (define @t77 () (not @t76)) % 0.38/0.61 (define @t78 () (tptp.contains_slb @t63 @t62)) % 0.38/0.61 (define @t79 () (not @t78)) % 0.38/0.61 (define @t80 () (= @t63 tptp.create_slb)) % 0.38/0.61 (define @t81 () (or @t80 @t79 @t77 @t75)) % 0.38/0.61 (define @t82 () (@list @t61 @t63 @t72)) % 0.38/0.61 (define @t83 () (= tptp.create_slb @t63)) % 0.38/0.61 (define @t84 () (or @t83 @t79 @t77 @t75)) % 0.38/0.61 (define @t85 () (@list false)) % 0.38/0.61 (define @t86 () (or @t44 @t42 @t41)) % 0.38/0.61 (define @t87 () (forall @t5 @t86)) % 0.38/0.61 (define @t88 () (or @t80 @t78 @t75)) % 0.38/0.61 (define @t89 () (or @t83 @t78 @t75)) % 0.38/0.61 (define @t90 () (not @t32)) % 0.38/0.61 (define @t91 () (tptp.ok @t73)) % 0.38/0.61 (define @t92 () (or @t91 (= @t72 tptp.bad))) % 0.38/0.61 (define @t93 () (forall @t5 (or @t31 @t30))) % 0.38/0.61 (define @t94 () (= tptp.bad @t72)) % 0.38/0.61 (define @t95 () (or @t91 @t94)) % 0.38/0.61 (define @t96 () (tptp.ok @t74)) % 0.38/0.61 (define @t97 () (not @t96)) % 0.38/0.61 (define @t98 () (or @t91 @t97)) % 0.38/0.61 (define @t99 () (not @t91)) % 0.38/0.61 (define @t100 () (@list true)) % 0.38/0.61 (define @t101 () (@list @t98)) % 0.38/0.61 (define @t102 () (@list true false)) % 0.38/0.61 (define @t103 () (tptp.triple @t61 tptp.create_slb tptp.bad)) % 0.38/0.61 (define @t104 () (= (tptp.findmin_cpq_eff (tptp.triple @t61 tptp.create_slb @t72)) @t103)) % 0.38/0.61 (define @t105 () (not @t104)) % 0.38/0.61 (define @t106 () (not @t83)) % 0.38/0.61 (define @t107 () (not @t94)) % 0.38/0.61 (define @t108 () (= true false)) % 0.38/0.61 (define @t109 () (and @t99 @t83 @t94 @t104 @t96)) % 0.38/0.61 (define @t110 () (tptp.ok @t71)) % 0.38/0.61 (define @t111 () (not @t75)) % 0.38/0.61 (define @t112 () (not @t110)) % 0.38/0.61 (define @t113 () (and @t112 @t75 @t96)) % 0.38/0.61 (define @t114 () (tptp.less_than @t64 @t62)) % 0.38/0.61 (define @t115 () (not @t114)) % 0.38/0.61 (define @t116 () (tptp.less_than @t62 @t64)) % 0.38/0.61 (define @t117 () (and @t116 @t115)) % 0.38/0.61 (define @t118 () (= @t76 @t117)) % 0.38/0.61 (define @t119 () (not @t117)) % 0.38/0.61 (define @t120 () (not @t53)) % 0.38/0.61 (define @t121 () (or @t44 @t43 @t120 @t52)) % 0.38/0.61 (define @t122 () (forall @t5 @t121)) % 0.38/0.61 (define @t123 () (or @t68 @t43 @t120)) % 0.38/0.61 (define @t124 () (tptp.triple @t61 @t70 @t72)) % 0.38/0.61 (define @t125 () (= @t74 @t124)) % 0.38/0.61 (define @t126 () (or @t80 @t79 @t115 @t125)) % 0.38/0.61 (define @t127 () (or @t83 @t79 @t115 @t125)) % 0.38/0.61 (define @t128 () (not @t125)) % 0.38/0.61 (define @t129 () (and @t94 @t111)) % 0.38/0.61 (define @t130 () (or @t114 @t116)) % 0.38/0.61 (define @t131 () (not @t116)) % 0.38/0.61 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.38/0.61 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.38/0.61 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.38/0.61 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.38/0.61 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.38/0.61 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.38/0.61 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.38/0.61 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.38/0.61 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.38/0.61 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.38/0.61 (assume @p11 (forall @t18 (= (tptp.pair_in_list @t15 @t1 @t17) (or (tptp.pair_in_list @t2 @t1 @t17) (and @t11 (= @t13 @t17)))))) % 0.38/0.61 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.38/0.61 (assume @p13 (forall @t16 (=> @t19 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.38/0.61 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.38/0.61 (assume @p15 (forall @t16 (=> @t19 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.38/0.61 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.38/0.61 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t21 (tptp.insert_slb @t20 @t9))))) % 0.38/0.61 (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t21 (tptp.insert_slb @t20 @t14))))) % 0.38/0.61 (assume @p19 (forall @t8 (tptp.succ_cpq @t2 @t2))) % 0.38/0.61 (assume @p20 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1))))) % 0.38/0.61 (assume @p21 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1))))) % 0.38/0.61 (assume @p22 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3))))) % 0.38/0.61 (assume @p23 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3))))) % 0.38/0.61 (assume @p24 (forall @t7 (tptp.check_cpq @t23))) % 0.38/0.61 (assume @p25 (forall @t18 (=> (tptp.less_than @t17 @t13) (= @t25 (tptp.check_cpq @t24))))) % 0.38/0.61 (assume @p26 (forall @t18 (=> (tptp.strictly_less_than @t13 @t17) (= @t25 false)))) % 0.38/0.61 (assume @p27 (forall @t16 (= (tptp.contains_cpq @t24 @t13) @t26))) % 0.38/0.61 (assume @p28 @t29) % 0.38/0.61 (assume @p29 @t33) % 0.38/0.61 (assume @p30 (forall @t16 (= (tptp.insert_cpq @t24 @t13) (tptp.triple (tptp.insert_pqp @t2 @t13) (tptp.insert_slb @t3 (tptp.pair @t13 tptp.bottom)) @t1)))) % 0.38/0.61 (assume @p31 (forall @t16 (=> (not @t26) (= @t34 @t27)))) % 0.38/0.61 (assume @p32 (forall @t16 (=> (and @t26 (tptp.less_than @t37 @t13)) (= @t34 (tptp.triple @t36 @t35 @t1))))) % 0.38/0.61 (assume @p33 (forall @t16 (=> (and @t26 (tptp.strictly_less_than @t13 @t37)) (= @t34 (tptp.triple @t36 @t35 tptp.bad))))) % 0.38/0.61 (assume @p34 (forall @t7 (= (tptp.findmin_cpq_eff @t23) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 0.38/0.61 (assume @p35 @t47) % 0.38/0.61 (assume @p36 @t51) % 0.38/0.61 (assume @p37 @t55) % 0.38/0.61 (assume @p38 (forall @t7 (= (tptp.findmin_cpq_res @t23) tptp.bottom))) % 0.38/0.61 (assume @p39 (forall @t16 (=> @t45 (= (tptp.findmin_cpq_res @t24) @t38)))) % 0.38/0.61 (assume @p40 (forall @t8 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t56)))) % 0.38/0.61 (assume @p41 (forall @t8 (= (tptp.removemin_cpq_res @t2) @t56))) % 0.38/0.61 (assume @p42 @t59) % 0.38/0.61 (assume @p43 true) % 0.38/0.61 (step @p44 :rule instantiate :premises (@p4) :args ((@list @t62 @t64))) % 0.38/0.61 (step @p45 :rule quant-unused-vars :args ((= (forall @t16 @t66) @t67))) % 0.38/0.61 (step @p46 :rule aci_norm :args ((= (or (or @t44 @t43 @t65) @t41) @t66))) % 0.38/0.61 (step @p47 :rule refl :args (@t41)) % 0.38/0.61 (step @p48 :rule refl :args (@t65)) % 0.38/0.61 (step @p49 :rule refl :args (@t43)) % 0.38/0.61 (step @p50 :rule bool-double-not-elim :args (@t44)) % 0.38/0.61 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args (@t69)) % 0.38/0.61 (step @p52 :rule aci_norm :args ((= (or @t68 (or @t43 @t65)) @t69))) % 0.38/0.61 (step @p53 :rule trans :premises (@p52 @p51)) % 0.38/0.61 (step @p54 :rule bool-and-de-morgan :args (@t42 @t49 true)) % 0.38/0.61 (step @p55 :rule refl :args (@t68)) % 0.38/0.61 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t68 (not (and @t42 @t49))))) % 0.38/0.61 (step @p57 :rule bool-and-de-morgan :args (@t45 @t42 (and @t49))) % 0.38/0.61 (step @p58 :rule trans :premises (@p57 @p56)) % 0.38/0.61 (step @p59 :rule trans :premises (@p58 @p53)) % 0.38/0.61 (step @p60 :rule nary_cong :premises (@p59 @p47) :args ((or (not @t50) @t41))) % 0.38/0.61 (step @p61 :rule trans :premises (@p60 @p46)) % 0.38/0.61 (step @p62 :rule bool-impl-elim :args (@t50 @t41)) % 0.38/0.61 (step @p63 :rule trans :premises (@p62 @p61)) % 0.38/0.61 (step @p64 :rule cong :premises (@p63) :args (@t51)) % 0.38/0.61 (step @p65 :rule trans :premises (@p64 @p45)) % 0.38/0.61 (step @p66 :rule eq_resolve :premises (@p36 @p65)) % 0.38/0.61 (step @p67 :rule refl :args (@t75)) % 0.38/0.61 (step @p68 :rule refl :args (@t77)) % 0.38/0.61 (step @p69 :rule refl :args (@t79)) % 0.38/0.61 (step @p70 :rule eq-symm :args (@t63 tptp.create_slb)) % 0.38/0.61 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68 @p67) :args (@t81)) % 0.38/0.61 (step @p72 :rule refl :args (@t67)) % 0.38/0.61 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t67 @t81))) % 0.38/0.61 (assume-push @p310 @t67) % 0.38/0.61 (step @p75 :rule instantiate :premises (@p66) :args (@t82)) % 0.38/0.61 (step-pop @p311 :rule scope :premises (@p75)) % 0.38/0.61 (step @p76 :rule process_scope :premises (@p311) :args (@t81)) % 0.38/0.61 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 0.38/0.61 (step @p79 :rule implies_elim :premises (@p78)) % 0.38/0.61 (step @p80 :rule chain_m_resolution :premises (@p79 @p66) :args (@t84 @t85 (@list @t67))) % 0.38/0.61 (step @p81 :rule quant-unused-vars :args ((= (forall @t16 @t86) @t87))) % 0.38/0.61 (step @p82 :rule aci_norm :args ((= (or (or @t44 @t42) @t41) @t86))) % 0.38/0.61 (step @p83 :rule bool-double-not-elim :args (@t42)) % 0.38/0.61 (step @p84 :rule nary_cong :premises (@p50 @p83) :args 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@p171 :rule process_scope :premises (@p325) :args (false)) % 0.38/0.61 (assume-push @p326 @t96) % 0.38/0.61 (assume-push @p327 @t99) % 0.38/0.61 (assume-push @p328 @t94) % 0.38/0.61 (assume-push @p329 @t83) % 0.38/0.61 (assume-push @p330 @t104) % 0.38/0.61 (step @p182 :rule and_intro :premises (@p134 @p329 @p137 @p105 @p144)) % 0.38/0.61 (step-pop @p331 :rule scope :premises (@p182)) % 0.38/0.61 (step-pop @p332 :rule scope :premises (@p331)) % 0.38/0.61 (step-pop @p333 :rule scope :premises (@p332)) % 0.38/0.61 (step-pop @p334 :rule scope :premises (@p333)) % 0.38/0.61 (step-pop @p335 :rule scope :premises (@p334)) % 0.38/0.61 (step @p183 :rule process_scope :premises (@p335) :args (@t109)) % 0.38/0.61 (step @p189 :rule implies_elim :premises (@p183)) % 0.38/0.61 (step @p190 :rule resolution :premises (@p189 @p171) :args (true @t109)) % 0.38/0.61 (step @p191 :rule not_and :premises (@p190)) % 0.38/0.61 (step @p192 :rule eq_resolve :premises (@p191 @p150)) % 0.38/0.61 (step @p193 :rule 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0.38/0.61 (step @p232 :rule cnf_equiv_pos2 :args (@t118)) % 0.38/0.61 (step @p233 :rule reordering :premises (@p232) :args ((or @t76 @t119 (not @t118)))) % 0.38/0.61 (step @p234 :rule chain_m_resolution :premises (@p233 @p231 @p44) :args (@t119 @t102 (@list @t76 @t118))) % 0.38/0.61 (step @p235 :rule quant-unused-vars :args ((= (forall @t16 @t121) @t122))) % 0.38/0.61 (step @p236 :rule aci_norm :args ((= (or (or @t44 @t43 @t120) @t52) @t121))) % 0.38/0.61 (step @p237 :rule refl :args (@t52)) % 0.38/0.61 (step @p238 :rule refl :args (@t120)) % 0.38/0.61 (step @p239 :rule nary_cong :premises (@p50 @p49 @p238) :args (@t123)) % 0.38/0.61 (step @p240 :rule aci_norm :args ((= (or @t68 (or @t43 @t120)) @t123))) % 0.38/0.61 (step @p241 :rule trans :premises (@p240 @p239)) % 0.38/0.61 (step @p242 :rule bool-and-de-morgan :args (@t42 @t53 true)) % 0.38/0.61 (step @p243 :rule nary_cong :premises (@p55 @p242) :args ((or @t68 (not (and @t42 @t53))))) % 0.38/0.61 (step @p244 :rule bool-and-de-morgan 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(step @p260 :rule instantiate :premises (@p253) :args (@t82)) % 0.38/0.61 (step-pop @p349 :rule scope :premises (@p260)) % 0.38/0.61 (step @p261 :rule process_scope :premises (@p349) :args (@t126)) % 0.38/0.61 (step @p263 :rule eq_resolve :premises (@p261 @p258)) % 0.38/0.61 (step @p264 :rule implies_elim :premises (@p263)) % 0.38/0.61 (step @p265 :rule chain_m_resolution :premises (@p264 @p253) :args (@t127 @t85 (@list @t122))) % 0.38/0.61 (step @p266 :rule refl :args (@t128)) % 0.38/0.61 (step @p267 :rule bool-double-not-elim :args (@t75)) % 0.38/0.61 (step @p268 :rule nary_cong :premises (@p147 @p267 @p266) :args ((or @t107 (not @t111) @t128))) % 0.38/0.61 (assume-push @p350 @t94) % 0.38/0.61 (assume-push @p351 @t111) % 0.38/0.61 (assume-push @p352 @t111) % 0.38/0.61 (assume-push @p353 @t94) % 0.38/0.61 (step @p273 :rule false_intro :premises (@p351)) % 0.38/0.61 (step @p274 :rule symm :premises (@p137)) % 0.38/0.61 (step @p275 :rule refl :args (@t70)) % 0.38/0.61 (step @p158 :rule 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(step @p291 :rule resolution :premises (@p290 @p289) :args (true @t129)) % 0.38/0.61 (step @p292 :rule eq_resolve :premises (@p291 @p268)) % 0.38/0.61 (step @p293 :rule reordering :premises (@p292) :args ((or @t75 @t107 @t128))) % 0.38/0.61 (step @p294 :rule chain_m_resolution :premises (@p293 @p225 @p137) :args (@t128 @t102 (@list @t75 @t94))) % 0.38/0.61 (step @p295 :rule cnf_or_pos :args (@t127)) % 0.38/0.61 (step @p296 :rule reordering :premises (@p295) :args ((or @t83 @t79 @t115 @t125 (not @t127)))) % 0.38/0.61 (step @p297 :rule chain_m_resolution :premises (@p296 @p194 @p228 @p294 @p265) :args (@t115 (@list true false true false) (@list @t83 @t78 @t125 @t127))) % 0.38/0.61 (step @p298 :rule instantiate :premises (@p2) :args ((@list @t64 @t62))) % 0.38/0.61 (step @p299 :rule cnf_or_pos :args (@t130)) % 0.38/0.61 (step @p300 :rule reordering :premises (@p299) :args ((or @t114 @t116 (not @t130)))) % 0.38/0.61 (step @p301 :rule chain_m_resolution :premises (@p300 @p297 @p298) :args (@t116 @t102 (@list @t114 @t130))) % 0.38/0.61 (step @p302 :rule bool-double-not-elim :args (@t114)) % 0.38/0.61 (step @p303 :rule refl :args (@t131)) % 0.38/0.61 (step @p304 :rule refl :args (@t117)) % 0.38/0.61 (step @p305 :rule nary_cong :premises (@p304 @p303 @p302) :args ((or @t117 @t131 (not @t115)))) % 0.38/0.61 (step @p306 :rule cnf_and_neg :args (@t117)) % 0.38/0.61 (step @p307 :rule eq_resolve :premises (@p306 @p305)) % 0.38/0.61 (step @p308 :rule reordering :premises (@p307) :args ((or @t114 @t117 @t131))) % 0.38/0.61 (step @p309 false :rule chain_m_resolution :premises (@p308 @p301 @p297 @p234) :args (false (@list false true true) (@list @t116 @t114 @t117))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------