%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV408+2 : 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 : n006.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 09:01:22 AM UTC 2026 % Result : Theorem 0.38s 0.64s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV408+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n006.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 20:06:49 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.64 % SZS status Theorem % 0.38/0.64 % SZS output start Proof % 0.38/0.64 ( % 0.38/0.64 (declare-sort $$unsorted 0) % 0.38/0.64 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 0.38/0.64 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 0.38/0.64 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.64 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 0.38/0.64 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 0.38/0.64 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.64 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.64 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.64 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.38/0.64 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.38/0.64 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 0.38/0.64 (declare-const tptp.bottom $$unsorted) % 0.38/0.64 (declare-const tptp.create_slb $$unsorted) % 0.38/0.64 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.ok (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.bad $$unsorted) % 0.45/0.64 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (define @t1 () (@var "W" $$unsorted)) % 0.45/0.64 (define @t2 () (@var "U" $$unsorted)) % 0.45/0.64 (define @t3 () (@var "V" $$unsorted)) % 0.45/0.64 (define @t4 () (tptp.less_than @t2 @t3)) % 0.45/0.64 (define @t5 () (@list @t2 @t3 @t1)) % 0.45/0.64 (define @t6 () (tptp.less_than @t3 @t2)) % 0.45/0.64 (define @t7 () (@list @t2 @t3)) % 0.45/0.64 (define @t8 () (@list @t2)) % 0.45/0.64 (define @t9 () (tptp.pair @t3 @t1)) % 0.45/0.64 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.45/0.64 (define @t11 () (= @t3 @t1)) % 0.45/0.64 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.45/0.64 (define @t13 () (@var "X" $$unsorted)) % 0.45/0.64 (define @t14 () (tptp.pair @t3 @t13)) % 0.45/0.64 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.45/0.64 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.45/0.64 (define @t17 () (@var "Y" $$unsorted)) % 0.45/0.64 (define @t18 () (@list @t2 @t3 @t1 @t13 @t17)) % 0.45/0.64 (define @t19 () (and (not @t11) @t12)) % 0.45/0.64 (define @t20 () (tptp.update_slb @t2 @t1)) % 0.45/0.64 (define @t21 () (tptp.update_slb @t15 @t1)) % 0.45/0.64 (define @t22 () (tptp.succ_cpq @t2 @t3)) % 0.45/0.64 (define @t23 () (tptp.triple @t2 tptp.create_slb @t3)) % 0.45/0.64 (define @t24 () (tptp.triple @t2 @t3 @t1)) % 0.45/0.64 (define @t25 () (tptp.check_cpq (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t13 @t17)) @t1))) % 0.45/0.64 (define @t26 () (tptp.contains_slb @t3 @t13)) % 0.45/0.64 (define @t27 () (tptp.triple @t2 @t3 tptp.bad)) % 0.45/0.64 (define @t28 () (tptp.remove_cpq @t24 @t13)) % 0.45/0.64 (define @t29 () (not @t26)) % 0.45/0.64 (define @t30 () (tptp.remove_slb @t3 @t13)) % 0.45/0.64 (define @t31 () (tptp.remove_pqp @t2 @t13)) % 0.45/0.64 (define @t32 () (tptp.lookup_slb @t3 @t13)) % 0.45/0.64 (define @t33 () (tptp.findmin_pqp_res @t2)) % 0.45/0.64 (define @t34 () (tptp.update_slb @t3 @t33)) % 0.45/0.64 (define @t35 () (tptp.findmin_cpq_eff @t24)) % 0.45/0.64 (define @t36 () (= @t35 (tptp.triple @t2 @t34 tptp.bad))) % 0.45/0.64 (define @t37 () (tptp.contains_slb @t3 @t33)) % 0.45/0.64 (define @t38 () (not (= @t3 tptp.create_slb))) % 0.45/0.64 (define @t39 () (tptp.lookup_slb @t3 @t33)) % 0.45/0.64 (define @t40 () (tptp.findmin_cpq_res @t24)) % 0.45/0.64 (define @t41 () (tptp.findmin_cpq_res @t2)) % 0.45/0.64 (define @t42 () (tptp.pair_in_list @t2 @t3 @t1)) % 0.45/0.64 (define @t43 () (@list @t1)) % 0.45/0.64 (define @t44 () (exists @t43 @t42)) % 0.45/0.64 (define @t45 () (tptp.contains_slb @t2 @t3)) % 0.45/0.64 (define @t46 () (=> @t45 @t44)) % 0.45/0.64 (define @t47 () (forall @t7 @t46)) % 0.45/0.64 (define @t48 () (tptp.update_slb @t2 @t13)) % 0.45/0.64 (define @t49 () (tptp.pair_in_list @t48 @t3 @t13)) % 0.45/0.64 (define @t50 () (tptp.strictly_less_than @t1 @t13)) % 0.45/0.64 (define @t51 () (and @t42 @t50)) % 0.45/0.64 (define @t52 () (forall @t16 (=> @t51 @t49))) % 0.45/0.64 (define @t53 () (tptp.pair_in_list @t48 @t3 @t1)) % 0.45/0.64 (define @t54 () (tptp.less_than @t13 @t1)) % 0.45/0.64 (define @t55 () (and @t42 @t54)) % 0.45/0.64 (define @t56 () (forall @t16 (=> @t55 @t53))) % 0.45/0.64 (define @t57 () (tptp.less_than @t33 @t17)) % 0.45/0.64 (define @t58 () (tptp.pair_in_list @t34 @t13 @t17)) % 0.45/0.64 (define @t59 () (and @t58 @t57)) % 0.45/0.64 (define @t60 () (@list @t17)) % 0.45/0.64 (define @t61 () (exists @t60 @t59)) % 0.45/0.64 (define @t62 () (tptp.pair_in_list @t34 @t13 @t33)) % 0.45/0.64 (define @t63 () (or @t62 @t61)) % 0.45/0.64 (define @t64 () (tptp.strictly_less_than @t13 @t40)) % 0.45/0.64 (define @t65 () (and @t26 @t64)) % 0.45/0.64 (define @t66 () (=> @t65 @t63)) % 0.45/0.64 (define @t67 () (forall @t16 @t66)) % 0.45/0.64 (define @t68 () (not @t67)) % 0.45/0.64 (define @t69 () (not (forall @t60 (or (not @t58) (not @t57))))) % 0.45/0.64 (define @t70 () (not @t64)) % 0.45/0.64 (define @t71 () (or @t29 @t70 @t62 @t69)) % 0.45/0.64 (define @t72 () (or @t62 @t69)) % 0.45/0.64 (define @t73 () (forall @t60 (not @t59))) % 0.45/0.64 (define @t74 () (not @t73)) % 0.45/0.64 (define @t75 () (forall @t16 @t71)) % 0.45/0.64 (define @t76 () (@quantifiers_skolemize @t75 0)) % 0.45/0.64 (define @t77 () (tptp.findmin_pqp_res @t76)) % 0.45/0.64 (define @t78 () (@quantifiers_skolemize @t75 3)) % 0.45/0.64 (define @t79 () (@quantifiers_skolemize @t75 1)) % 0.45/0.64 (define @t80 () (tptp.update_slb @t79 @t77)) % 0.45/0.64 (define @t81 () (forall @t60 (or (not (tptp.pair_in_list @t80 @t78 @t17)) (not (tptp.less_than @t77 @t17))))) % 0.45/0.64 (define @t82 () (not @t81)) % 0.45/0.64 (define @t83 () (tptp.pair_in_list @t80 @t78 @t77)) % 0.45/0.64 (define @t84 () (tptp.contains_slb @t79 @t78)) % 0.45/0.64 (define @t85 () (not @t84)) % 0.45/0.64 (define @t86 () (or @t85 (not (tptp.strictly_less_than @t78 (tptp.findmin_cpq_res (tptp.triple @t76 @t79 (@quantifiers_skolemize @t75 2))))) @t83 @t82)) % 0.45/0.64 (define @t87 () (@list true)) % 0.45/0.64 (define @t88 () (@list @t86)) % 0.45/0.64 (define @t89 () (not @t54)) % 0.45/0.64 (define @t90 () (not @t42)) % 0.45/0.64 (define @t91 () (forall @t43 (not (tptp.pair_in_list @t79 @t78 @t1)))) % 0.45/0.64 (define @t92 () (@quantifiers_skolemize @t91 0)) % 0.45/0.64 (define @t93 () (@list @t79 @t78 @t92 @t77)) % 0.45/0.64 (define @t94 () (tptp.less_than @t92 @t77)) % 0.45/0.64 (define @t95 () (tptp.less_than @t77 @t92)) % 0.45/0.64 (define @t96 () (or @t95 @t94)) % 0.45/0.64 (define @t97 () (not @t50)) % 0.45/0.64 (define @t98 () (not (forall @t43 @t90))) % 0.45/0.64 (define @t99 () (not @t91)) % 0.45/0.64 (define @t100 () (or @t85 @t99)) % 0.45/0.64 (define @t101 () (@list false false)) % 0.45/0.64 (define @t102 () (tptp.pair_in_list @t79 @t78 @t92)) % 0.45/0.64 (define @t103 () (not @t102)) % 0.45/0.64 (define @t104 () (not @t103)) % 0.45/0.64 (define @t105 () (tptp.strictly_less_than @t92 @t77)) % 0.45/0.64 (define @t106 () (not @t105)) % 0.45/0.64 (define @t107 () (or @t103 @t106 @t83)) % 0.45/0.64 (define @t108 () (@list true false false)) % 0.45/0.64 (define @t109 () (not @t95)) % 0.45/0.64 (define @t110 () (and @t94 @t109)) % 0.45/0.64 (define @t111 () (= @t105 @t110)) % 0.45/0.64 (define @t112 () (not @t110)) % 0.45/0.64 (define @t113 () (@list true false)) % 0.45/0.64 (define @t114 () (not @t94)) % 0.45/0.64 (define @t115 () (tptp.pair_in_list @t80 @t78 @t92)) % 0.45/0.64 (define @t116 () (or @t103 @t109 @t115)) % 0.45/0.64 (define @t117 () (not @t115)) % 0.45/0.64 (define @t118 () (or @t117 @t109)) % 0.45/0.64 (define @t119 () (not @t118)) % 0.45/0.64 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.45/0.64 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.45/0.64 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.45/0.64 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.45/0.64 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.45/0.64 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.45/0.64 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.45/0.64 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.45/0.64 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.45/0.64 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.45/0.64 (assume @p11 (forall @t18 (= (tptp.pair_in_list @t15 @t1 @t17) (or (tptp.pair_in_list @t2 @t1 @t17) (and @t11 (= @t13 @t17)))))) % 0.45/0.64 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.45/0.64 (assume @p13 (forall @t16 (=> @t19 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.45/0.64 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.45/0.64 (assume @p15 (forall @t16 (=> @t19 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.45/0.64 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.45/0.64 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t21 (tptp.insert_slb @t20 @t9))))) % 0.45/0.64 (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t21 (tptp.insert_slb @t20 @t14))))) % 0.45/0.64 (assume @p19 (forall @t8 (tptp.succ_cpq @t2 @t2))) % 0.45/0.64 (assume @p20 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1))))) % 0.45/0.64 (assume @p21 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1))))) % 0.45/0.64 (assume @p22 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3))))) % 0.45/0.64 (assume @p23 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3))))) % 0.45/0.64 (assume @p24 (forall @t7 (tptp.check_cpq @t23))) % 0.45/0.64 (assume @p25 (forall @t18 (=> (tptp.less_than @t17 @t13) (= @t25 (tptp.check_cpq @t24))))) % 0.45/0.64 (assume @p26 (forall @t18 (=> (tptp.strictly_less_than @t13 @t17) (= @t25 false)))) % 0.45/0.64 (assume @p27 (forall @t16 (= (tptp.contains_cpq @t24 @t13) @t26))) % 0.45/0.64 (assume @p28 (forall @t7 (= (tptp.ok @t27) false))) % 0.45/0.64 (assume @p29 (forall @t5 (=> (not (tptp.ok @t24)) (= @t1 tptp.bad)))) % 0.45/0.64 (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)))) % 0.45/0.64 (assume @p31 (forall @t16 (=> @t29 (= @t28 @t27)))) % 0.45/0.64 (assume @p32 (forall @t16 (=> (and @t26 (tptp.less_than @t32 @t13)) (= @t28 (tptp.triple @t31 @t30 @t1))))) % 0.45/0.64 (assume @p33 (forall @t16 (=> (and @t26 (tptp.strictly_less_than @t13 @t32)) (= @t28 (tptp.triple @t31 @t30 tptp.bad))))) % 0.45/0.64 (assume @p34 (forall @t7 (= (tptp.findmin_cpq_eff @t23) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 0.45/0.64 (assume @p35 (forall @t16 (=> (and @t38 (not @t37)) @t36))) % 0.45/0.64 (assume @p36 (forall @t16 (=> (and @t38 @t37 (tptp.strictly_less_than @t33 @t39)) @t36))) % 0.45/0.64 (assume @p37 (forall @t16 (=> (and @t38 @t37 (tptp.less_than @t39 @t33)) (= @t35 (tptp.triple @t2 @t34 @t1))))) % 0.45/0.64 (assume @p38 (forall @t7 (= (tptp.findmin_cpq_res @t23) tptp.bottom))) % 0.45/0.64 (assume @p39 (forall @t16 (=> @t38 (= @t40 @t33)))) % 0.45/0.64 (assume @p40 (forall @t8 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t41)))) % 0.45/0.64 (assume @p41 (forall @t8 (= (tptp.removemin_cpq_res @t2) @t41))) % 0.45/0.64 (assume @p42 @t47) % 0.45/0.64 (assume @p43 @t52) % 0.45/0.64 (assume @p44 @t56) % 0.45/0.64 (assume @p45 @t68) % 0.45/0.64 (assume @p46 true) % 0.45/0.64 (step @p47 :rule aci_norm :args ((= (or (or @t29 @t70) @t72) @t71))) % 0.45/0.64 (step @p48 :rule refl :args (@t72)) % 0.45/0.64 (step @p49 :rule bool-and-de-morgan :args (@t26 @t64 true)) % 0.45/0.64 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t65) @t72))) % 0.45/0.64 (step @p51 :rule trans :premises (@p50 @p47)) % 0.45/0.64 (step @p52 :rule bool-impl-elim :args (@t65 @t72)) % 0.45/0.64 (step @p53 :rule trans :premises (@p52 @p51)) % 0.45/0.64 (step @p54 :rule cong :premises (@p53) :args ((forall @t16 (=> @t65 @t72)))) % 0.45/0.64 (step @p55 :rule bool-and-de-morgan :args (@t58 @t57 true)) % 0.45/0.64 (step @p56 :rule cong :premises (@p55) :args (@t73)) % 0.45/0.64 (step @p57 :rule cong :premises (@p56) :args (@t74)) % 0.45/0.64 (step @p58 :rule exists-elim :args ((= @t61 @t74))) % 0.45/0.64 (step @p59 :rule trans :premises (@p58 @p57)) % 0.45/0.64 (step @p60 :rule refl :args (@t62)) % 0.45/0.64 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t63)) % 0.45/0.64 (step @p62 :rule refl :args (@t65)) % 0.45/0.64 (step @p63 :rule cong :premises (@p62 @p61) :args (@t66)) % 0.45/0.64 (step @p64 :rule cong :premises (@p63) :args (@t67)) % 0.45/0.64 (step @p65 :rule trans :premises (@p64 @p54)) % 0.45/0.64 (step @p66 :rule cong :premises (@p65) :args (@t68)) % 0.45/0.64 (step @p67 :rule eq_resolve :premises (@p45 @p66)) % 0.45/0.64 (step @p68 :rule skolemize :premises (@p67)) % 0.45/0.64 (step @p69 :rule bool-double-not-elim :args (@t81)) % 0.45/0.64 (step @p70 :rule refl :args (@t86)) % 0.45/0.64 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t86 (not @t82)))) % 0.45/0.64 (step @p72 :rule cnf_or_neg :args (@t86 3)) % 0.45/0.64 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.45/0.64 (step @p74 :rule reordering :premises (@p73) :args ((or @t81 @t86))) % 0.45/0.64 (step @p75 :rule chain_m_resolution :premises (@p74 @p68) :args (@t81 @t87 @t88)) % 0.45/0.64 (step @p76 :rule aci_norm :args ((= (or (or @t90 @t89) @t53) (or @t90 @t89 @t53)))) % 0.45/0.64 (step @p77 :rule refl :args (@t53)) % 0.45/0.64 (step @p78 :rule bool-and-de-morgan :args (@t42 @t54 true)) % 0.45/0.64 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or (not @t55) @t53))) % 0.45/0.64 (step @p80 :rule trans :premises (@p79 @p76)) % 0.45/0.64 (step @p81 :rule bool-impl-elim :args (@t55 @t53)) % 0.45/0.64 (step @p82 :rule trans :premises (@p81 @p80)) % 0.45/0.64 (step @p83 :rule cong :premises (@p82) :args (@t56)) % 0.45/0.64 (step @p84 :rule eq_resolve :premises (@p44 @p83)) % 0.45/0.64 (step @p85 :rule instantiate :premises (@p84) :args (@t93)) % 0.45/0.64 (step @p86 :rule instantiate :premises (@p2) :args ((@list @t77 @t92))) % 0.45/0.64 (step @p87 :rule cnf_or_pos :args (@t96)) % 0.45/0.64 (step @p88 :rule reordering :premises (@p87) :args ((or @t95 @t94 (not @t96)))) % 0.45/0.64 (step @p89 :rule instantiate :premises (@p4) :args ((@list @t92 @t77))) % 0.45/0.64 (step @p90 :rule aci_norm :args ((= (or (or @t90 @t97) @t49) (or @t90 @t97 @t49)))) % 0.45/0.64 (step @p91 :rule refl :args (@t49)) % 0.45/0.64 (step @p92 :rule bool-and-de-morgan :args (@t42 @t50 true)) % 0.45/0.64 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or (not @t51) @t49))) % 0.45/0.64 (step @p94 :rule trans :premises (@p93 @p90)) % 0.45/0.64 (step @p95 :rule bool-impl-elim :args (@t51 @t49)) % 0.45/0.64 (step @p96 :rule trans :premises (@p95 @p94)) % 0.45/0.64 (step @p97 :rule cong :premises (@p96) :args (@t52)) % 0.45/0.64 (step @p98 :rule eq_resolve :premises (@p43 @p97)) % 0.45/0.64 (step @p99 :rule instantiate :premises (@p98) :args (@t93)) % 0.45/0.64 (step @p100 :rule bool-impl-elim :args (@t45 @t98)) % 0.45/0.64 (step @p101 :rule cong :premises (@p100) :args ((forall @t7 (=> @t45 @t98)))) % 0.45/0.64 (step @p102 :rule exists-elim :args ((= @t44 @t98))) % 0.45/0.64 (step @p103 :rule refl :args (@t45)) % 0.45/0.64 (step @p104 :rule cong :premises (@p103 @p102) :args (@t46)) % 0.45/0.64 (step @p105 :rule cong :premises (@p104) :args (@t47)) % 0.45/0.64 (step @p106 :rule trans :premises (@p105 @p101)) % 0.45/0.64 (step @p107 :rule eq_resolve :premises (@p42 @p106)) % 0.45/0.64 (step @p108 :rule instantiate :premises (@p107) :args ((@list @t79 @t78))) % 0.45/0.64 (step @p109 :rule bool-double-not-elim :args (@t84)) % 0.45/0.64 (step @p110 :rule nary_cong :premises (@p70 @p109) :args ((or @t86 (not @t85)))) % 0.45/0.64 (step @p111 :rule cnf_or_neg :args (@t86 0)) % 0.45/0.64 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.45/0.64 (step @p113 :rule reordering :premises (@p112) :args ((or @t84 @t86))) % 0.45/0.64 (step @p114 :rule chain_m_resolution :premises (@p113 @p68) :args (@t84 @t87 @t88)) % 0.45/0.64 (step @p115 :rule cnf_or_pos :args (@t100)) % 0.45/0.64 (step @p116 :rule reordering :premises (@p115) :args ((or @t85 @t99 (not @t100)))) % 0.45/0.64 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p108) :args (@t99 @t101 (@list @t84 @t100))) % 0.45/0.64 (step @p118 :rule refl :args (@t102)) % 0.45/0.64 (step @p119 :rule bool-double-not-elim :args (@t91)) % 0.45/0.64 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t99) @t102))) % 0.45/0.64 (step @p121 :rule bool-double-not-elim :args (@t102)) % 0.45/0.64 (step @p122 :rule refl :args (@t99)) % 0.45/0.64 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t99 @t104))) % 0.45/0.64 (assume-push @p160 @t99) % 0.45/0.64 (step @p125 :rule skolemize :premises (@p117)) % 0.45/0.64 (step-pop @p161 :rule scope :premises (@p125)) % 0.45/0.64 (step @p126 :rule process_scope :premises (@p161) :args (@t104)) % 0.45/0.64 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 0.45/0.64 (step @p129 :rule implies_elim :premises (@p128)) % 0.45/0.64 (step @p130 :rule eq_resolve :premises (@p129 @p120)) % 0.45/0.64 (step @p131 :rule chain_m_resolution :premises (@p130 @p117) :args (@t102 @t87 (@list @t91))) % 0.45/0.64 (step @p132 :rule cnf_or_neg :args (@t86 2)) % 0.45/0.64 (step @p133 :rule chain_m_resolution :premises (@p132 @p68) :args ((not @t83) @t87 @t88)) % 0.45/0.64 (step @p134 :rule cnf_or_pos :args (@t107)) % 0.45/0.64 (step @p135 :rule reordering :premises (@p134) :args ((or @t83 @t103 @t106 (not @t107)))) % 0.45/0.64 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p131 @p99) :args (@t106 @t108 (@list @t83 @t102 @t107))) % 0.45/0.64 (step @p137 :rule cnf_equiv_pos2 :args (@t111)) % 0.45/0.64 (step @p138 :rule reordering :premises (@p137) :args ((or @t105 @t112 (not @t111)))) % 0.45/0.64 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p89) :args (@t112 @t113 (@list @t105 @t111))) % 0.45/0.64 (step @p140 :rule bool-double-not-elim :args (@t95)) % 0.45/0.64 (step @p141 :rule refl :args (@t114)) % 0.45/0.64 (step @p142 :rule refl :args (@t110)) % 0.45/0.64 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140) :args ((or @t110 @t114 (not @t109)))) % 0.45/0.64 (step @p144 :rule cnf_and_neg :args (@t110)) % 0.45/0.64 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.45/0.64 (step @p146 :rule reordering :premises (@p145) :args ((or @t95 @t114 @t110))) % 0.45/0.64 (step @p147 :rule chain_m_resolution :premises (@p146 @p139 @p88 @p86) :args (@t95 @t108 (@list @t110 @t94 @t96))) % 0.45/0.64 (step @p148 :rule cnf_or_pos :args (@t116)) % 0.45/0.64 (step @p149 :rule reordering :premises (@p148) :args ((or @t103 @t109 @t115 (not @t116)))) % 0.45/0.64 (step @p150 :rule chain_m_resolution :premises (@p149 @p131 @p147 @p85) :args (@t115 (@list false false false) (@list @t102 @t95 @t116))) % 0.45/0.64 (step @p151 :rule cnf_or_pos :args (@t118)) % 0.45/0.64 (step @p152 :rule reordering :premises (@p151) :args ((or @t109 @t117 @t119))) % 0.45/0.64 (step @p153 :rule chain_m_resolution :premises (@p152 @p147 @p150) :args (@t119 @t101 (@list @t95 @t115))) % 0.45/0.64 (assume-push @p162 @t81) % 0.45/0.64 (step @p155 :rule instantiate :premises (@p75) :args ((@list @t92))) % 0.45/0.64 (step-pop @p163 :rule scope :premises (@p155)) % 0.45/0.64 (step @p156 :rule process_scope :premises (@p163) :args (@t118)) % 0.45/0.64 (step @p158 :rule implies_elim :premises (@p156)) % 0.45/0.64 (step @p159 false :rule chain_m_resolution :premises (@p158 @p153 @p75) :args (false @t113 (@list @t118 @t81))) % 0.45/0.64 ) % 0.45/0.64 % SZS output end Proof % 0.45/0.64 % cvc5 exiting %------------------------------------------------------------------------------