%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV383+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 : 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 09:01:19 AM UTC 2026 % Result : Theorem 0.33s 0.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV383+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n004.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 20:06:07 EDT 2026 % 0.15/0.34 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.59 % SZS status Theorem % 0.33/0.59 % SZS output start Proof % 0.33/0.59 ( % 0.33/0.59 (declare-sort $$unsorted 0) % 0.33/0.59 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.bottom $$unsorted) % 0.33/0.59 (declare-const tptp.create_slb $$unsorted) % 0.33/0.59 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.ok (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.bad $$unsorted) % 0.33/0.59 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (define @t1 () (@var "W" $$unsorted)) % 0.33/0.59 (define @t2 () (@var "U" $$unsorted)) % 0.33/0.59 (define @t3 () (@var "V" $$unsorted)) % 0.33/0.59 (define @t4 () (tptp.less_than @t2 @t3)) % 0.33/0.59 (define @t5 () (@list @t2 @t3 @t1)) % 0.33/0.59 (define @t6 () (tptp.less_than @t3 @t2)) % 0.33/0.59 (define @t7 () (@list @t2 @t3)) % 0.33/0.59 (define @t8 () (@list @t2)) % 0.33/0.59 (define @t9 () (tptp.pair @t3 @t1)) % 0.33/0.59 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.33/0.59 (define @t11 () (= @t3 @t1)) % 0.33/0.59 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.33/0.59 (define @t13 () (@var "X" $$unsorted)) % 0.33/0.59 (define @t14 () (tptp.pair @t3 @t13)) % 0.33/0.59 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.33/0.59 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.33/0.59 (define @t17 () (@var "Y" $$unsorted)) % 0.33/0.59 (define @t18 () (@list @t2 @t3 @t1 @t13 @t17)) % 0.33/0.59 (define @t19 () (and (not @t11) @t12)) % 0.33/0.59 (define @t20 () (tptp.update_slb @t2 @t1)) % 0.33/0.59 (define @t21 () (tptp.update_slb @t15 @t1)) % 0.33/0.59 (define @t22 () (tptp.succ_cpq @t2 @t3)) % 0.33/0.59 (define @t23 () (tptp.triple @t2 tptp.create_slb @t3)) % 0.33/0.59 (define @t24 () (tptp.triple @t2 @t3 @t1)) % 0.33/0.59 (define @t25 () (tptp.check_cpq @t24)) % 0.33/0.59 (define @t26 () (tptp.check_cpq (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t13 @t17)) @t1))) % 0.33/0.59 (define @t27 () (tptp.contains_slb @t3 @t13)) % 0.33/0.59 (define @t28 () (tptp.triple @t2 @t3 tptp.bad)) % 0.33/0.59 (define @t29 () (tptp.ok @t24)) % 0.33/0.59 (define @t30 () (not @t29)) % 0.33/0.59 (define @t31 () (tptp.remove_cpq @t24 @t13)) % 0.33/0.59 (define @t32 () (tptp.remove_slb @t3 @t13)) % 0.33/0.59 (define @t33 () (tptp.remove_pqp @t2 @t13)) % 0.33/0.59 (define @t34 () (tptp.lookup_slb @t3 @t13)) % 0.33/0.59 (define @t35 () (tptp.findmin_pqp_res @t2)) % 0.33/0.59 (define @t36 () (tptp.update_slb @t3 @t35)) % 0.33/0.59 (define @t37 () (tptp.findmin_cpq_eff @t24)) % 0.33/0.59 (define @t38 () (= @t37 (tptp.triple @t2 @t36 tptp.bad))) % 0.33/0.59 (define @t39 () (tptp.contains_slb @t3 @t35)) % 0.33/0.59 (define @t40 () (not (= @t3 tptp.create_slb))) % 0.33/0.59 (define @t41 () (tptp.lookup_slb @t3 @t35)) % 0.33/0.59 (define @t42 () (tptp.findmin_cpq_res @t2)) % 0.33/0.59 (define @t43 () (@var "Z" $$unsorted)) % 0.33/0.59 (define @t44 () (tptp.triple @t13 @t17 @t43)) % 0.33/0.59 (define @t45 () (not (tptp.check_cpq @t44))) % 0.33/0.59 (define @t46 () (not (tptp.ok @t44))) % 0.33/0.59 (define @t47 () (or @t46 @t45)) % 0.33/0.59 (define @t48 () (tptp.succ_cpq @t24 @t44)) % 0.33/0.59 (define @t49 () (@list @t13 @t17 @t43)) % 0.33/0.59 (define @t50 () (forall @t49 (=> @t48 @t47))) % 0.33/0.59 (define @t51 () (not @t25)) % 0.33/0.59 (define @t52 () (or @t51 @t30)) % 0.33/0.59 (define @t53 () (=> @t52 @t50)) % 0.33/0.59 (define @t54 () (forall @t5 @t53)) % 0.33/0.59 (define @t55 () (=> @t51 @t50)) % 0.33/0.59 (define @t56 () (forall @t5 @t55)) % 0.33/0.59 (define @t57 () (not @t56)) % 0.33/0.59 (define @t58 () (@var "BOUND_VARIABLE_7817" $$unsorted)) % 0.33/0.59 (define @t59 () (@var "BOUND_VARIABLE_7815" $$unsorted)) % 0.33/0.59 (define @t60 () (@var "BOUND_VARIABLE_7813" $$unsorted)) % 0.33/0.59 (define @t61 () (tptp.triple @t60 @t59 @t58)) % 0.33/0.59 (define @t62 () (not (tptp.check_cpq @t61))) % 0.33/0.59 (define @t63 () (not (tptp.ok @t61))) % 0.33/0.59 (define @t64 () (not (tptp.succ_cpq @t24 @t61))) % 0.33/0.59 (define @t65 () (or @t25 @t64 @t63 @t62)) % 0.33/0.59 (define @t66 () (or @t64 @t63 @t62)) % 0.33/0.59 (define @t67 () (or @t25 @t66)) % 0.33/0.59 (define @t68 () (@list @t2 @t3 @t1 @t60 @t59 @t58)) % 0.33/0.59 (define @t69 () (forall @t68 @t67)) % 0.33/0.59 (define @t70 () (@list @t60 @t59 @t58)) % 0.33/0.59 (define @t71 () (forall @t70 @t67)) % 0.33/0.59 (define @t72 () (forall @t70 @t66)) % 0.33/0.59 (define @t73 () (@list @t13 @t17 @t43)) % 0.33/0.59 (define @t74 () (or @t25 @t72)) % 0.33/0.59 (define @t75 () (not @t48)) % 0.33/0.59 (define @t76 () (or @t75 @t46 @t45)) % 0.33/0.59 (define @t77 () (forall @t49 @t76)) % 0.33/0.59 (define @t78 () (not @t51)) % 0.33/0.59 (define @t79 () (forall @t68 @t65)) % 0.33/0.59 (define @t80 () (@quantifiers_skolemize @t79 5)) % 0.33/0.59 (define @t81 () (@quantifiers_skolemize @t79 4)) % 0.33/0.59 (define @t82 () (@quantifiers_skolemize @t79 3)) % 0.33/0.59 (define @t83 () (tptp.triple @t82 @t81 @t80)) % 0.33/0.59 (define @t84 () (@quantifiers_skolemize @t79 2)) % 0.33/0.59 (define @t85 () (@quantifiers_skolemize @t79 1)) % 0.33/0.59 (define @t86 () (@quantifiers_skolemize @t79 0)) % 0.33/0.59 (define @t87 () (tptp.triple @t86 @t85 @t84)) % 0.33/0.59 (define @t88 () (tptp.succ_cpq @t87 @t83)) % 0.33/0.59 (define @t89 () (tptp.check_cpq @t83)) % 0.33/0.59 (define @t90 () (not @t89)) % 0.33/0.59 (define @t91 () (tptp.ok @t83)) % 0.33/0.59 (define @t92 () (not @t91)) % 0.33/0.59 (define @t93 () (not @t88)) % 0.33/0.59 (define @t94 () (tptp.check_cpq @t87)) % 0.33/0.59 (define @t95 () (or @t94 @t93 @t92 @t90)) % 0.33/0.59 (define @t96 () (@list true)) % 0.33/0.59 (define @t97 () (@list @t95)) % 0.33/0.59 (define @t98 () (and @t94 (tptp.ok @t87))) % 0.33/0.59 (define @t99 () (not @t98)) % 0.33/0.59 (define @t100 () (@var "BOUND_VARIABLE_7793" $$unsorted)) % 0.33/0.59 (define @t101 () (@var "BOUND_VARIABLE_7791" $$unsorted)) % 0.33/0.59 (define @t102 () (@var "BOUND_VARIABLE_7789" $$unsorted)) % 0.33/0.59 (define @t103 () (tptp.triple @t102 @t101 @t100)) % 0.33/0.59 (define @t104 () (not (tptp.check_cpq @t103))) % 0.33/0.59 (define @t105 () (not (tptp.ok @t103))) % 0.33/0.59 (define @t106 () (not (tptp.succ_cpq @t24 @t103))) % 0.33/0.59 (define @t107 () (and @t25 @t29)) % 0.33/0.59 (define @t108 () (or @t106 @t105 @t104)) % 0.33/0.59 (define @t109 () (or @t107 @t108)) % 0.33/0.59 (define @t110 () (forall (@list @t2 @t3 @t1 @t102 @t101 @t100) @t109)) % 0.33/0.59 (define @t111 () (@list @t102 @t101 @t100)) % 0.33/0.59 (define @t112 () (forall @t111 @t109)) % 0.33/0.59 (define @t113 () (forall @t111 @t108)) % 0.33/0.59 (define @t114 () (or @t107 @t113)) % 0.33/0.59 (define @t115 () (or @t98 @t93 @t92 @t90)) % 0.33/0.59 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.33/0.59 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.33/0.59 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.33/0.59 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.33/0.59 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.33/0.59 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.33/0.59 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.33/0.59 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.33/0.59 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.33/0.59 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.33/0.59 (assume @p11 (forall @t18 (= (tptp.pair_in_list @t15 @t1 @t17) (or (tptp.pair_in_list @t2 @t1 @t17) (and @t11 (= @t13 @t17)))))) % 0.33/0.59 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.33/0.59 (assume @p13 (forall @t16 (=> @t19 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.33/0.59 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.33/0.59 (assume @p15 (forall @t16 (=> @t19 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.33/0.59 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.33/0.59 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t21 (tptp.insert_slb @t20 @t9))))) % 0.33/0.59 (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t21 (tptp.insert_slb @t20 @t14))))) % 0.33/0.59 (assume @p19 (forall @t8 (tptp.succ_cpq @t2 @t2))) % 0.33/0.59 (assume @p20 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1))))) % 0.33/0.59 (assume @p21 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1))))) % 0.33/0.59 (assume @p22 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3))))) % 0.33/0.59 (assume @p23 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3))))) % 0.33/0.59 (assume @p24 (forall @t7 (tptp.check_cpq @t23))) % 0.33/0.59 (assume @p25 (forall @t18 (=> (tptp.less_than @t17 @t13) (= @t26 @t25)))) % 0.33/0.59 (assume @p26 (forall @t18 (=> (tptp.strictly_less_than @t13 @t17) (= @t26 false)))) % 0.33/0.59 (assume @p27 (forall @t16 (= (tptp.contains_cpq @t24 @t13) @t27))) % 0.33/0.59 (assume @p28 (forall @t7 (= (tptp.ok @t28) false))) % 0.33/0.59 (assume @p29 (forall @t5 (=> @t30 (= @t1 tptp.bad)))) % 0.33/0.59 (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)))) % 0.33/0.59 (assume @p31 (forall @t16 (=> (not @t27) (= @t31 @t28)))) % 0.33/0.59 (assume @p32 (forall @t16 (=> (and @t27 (tptp.less_than @t34 @t13)) (= @t31 (tptp.triple @t33 @t32 @t1))))) % 0.33/0.59 (assume @p33 (forall @t16 (=> (and @t27 (tptp.strictly_less_than @t13 @t34)) (= @t31 (tptp.triple @t33 @t32 tptp.bad))))) % 0.33/0.59 (assume @p34 (forall @t7 (= (tptp.findmin_cpq_eff @t23) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 0.33/0.59 (assume @p35 (forall @t16 (=> (and @t40 (not @t39)) @t38))) % 0.33/0.59 (assume @p36 (forall @t16 (=> (and @t40 @t39 (tptp.strictly_less_than @t35 @t41)) @t38))) % 0.33/0.59 (assume @p37 (forall @t16 (=> (and @t40 @t39 (tptp.less_than @t41 @t35)) (= @t37 (tptp.triple @t2 @t36 @t1))))) % 0.33/0.59 (assume @p38 (forall @t7 (= (tptp.findmin_cpq_res @t23) tptp.bottom))) % 0.33/0.59 (assume @p39 (forall @t16 (=> @t40 (= (tptp.findmin_cpq_res @t24) @t35)))) % 0.33/0.59 (assume @p40 (forall @t8 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t42)))) % 0.33/0.59 (assume @p41 (forall @t8 (= (tptp.removemin_cpq_res @t2) @t42))) % 0.33/0.59 (assume @p42 @t54) % 0.33/0.59 (assume @p43 @t57) % 0.33/0.59 (assume @p44 true) % 0.33/0.59 (step @p45 :rule aci_norm :args ((= @t67 @t65))) % 0.33/0.59 (step @p46 :rule cong :premises (@p45) :args (@t69)) % 0.33/0.59 (step @p47 :rule quant-merge-prenex :args ((= (forall @t5 @t71) @t69))) % 0.33/0.59 (step @p48 :rule alpha_equiv :args (@t72 (@list @t60 @t59 @t58) @t73)) % 0.33/0.59 (step @p49 :rule refl :args (@t25)) % 0.33/0.59 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t74)) % 0.33/0.59 (step @p51 :rule quant-miniscope-or :args ((= @t71 @t74))) % 0.33/0.59 (step @p52 :rule trans :premises (@p51 @p50)) % 0.33/0.59 (step @p53 :rule symm :premises (@p52)) % 0.33/0.59 (step @p54 :rule cong :premises (@p53) :args ((forall @t5 (or @t25 @t77)))) % 0.33/0.59 (step @p55 :rule trans :premises (@p54 @p47)) % 0.33/0.59 (step @p56 :rule trans :premises (@p55 @p46)) % 0.33/0.59 (step @p57 :rule refl :args (@t77)) % 0.33/0.59 (step @p58 :rule bool-double-not-elim :args (@t25)) % 0.33/0.59 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t78 @t77))) % 0.33/0.59 (step @p60 :rule bool-impl-elim :args (@t51 @t77)) % 0.33/0.59 (step @p61 :rule trans :premises (@p60 @p59)) % 0.33/0.59 (step @p62 :rule cong :premises (@p61) :args ((forall @t5 (=> @t51 @t77)))) % 0.33/0.59 (step @p63 :rule trans :premises (@p62 @p56)) % 0.33/0.59 (step @p64 :rule aci_norm :args ((= (or @t75 @t47) @t76))) % 0.33/0.59 (step @p65 :rule bool-impl-elim :args (@t48 @t47)) % 0.33/0.59 (step @p66 :rule trans :premises (@p65 @p64)) % 0.33/0.59 (step @p67 :rule cong :premises (@p66) :args (@t50)) % 0.33/0.59 (step @p68 :rule refl :args (@t51)) % 0.33/0.59 (step @p69 :rule cong :premises (@p68 @p67) :args (@t55)) % 0.33/0.59 (step @p70 :rule cong :premises (@p69) :args (@t56)) % 0.33/0.59 (step @p71 :rule trans :premises (@p70 @p63)) % 0.33/0.59 (step @p72 :rule cong :premises (@p71) :args (@t57)) % 0.33/0.59 (step @p73 :rule eq_resolve :premises (@p43 @p72)) % 0.33/0.59 (step @p74 :rule skolemize :premises (@p73)) % 0.33/0.59 (step @p75 :rule bool-double-not-elim :args (@t88)) % 0.33/0.59 (step @p76 :rule refl :args (@t95)) % 0.33/0.59 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t95 (not @t93)))) % 0.33/0.59 (step @p78 :rule cnf_or_neg :args (@t95 1)) % 0.33/0.59 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.33/0.59 (step @p80 :rule reordering :premises (@p79) :args ((or @t88 @t95))) % 0.33/0.59 (step @p81 :rule chain_m_resolution :premises (@p80 @p74) :args (@t88 @t96 @t97)) % 0.33/0.59 (step @p82 :rule bool-double-not-elim :args (@t91)) % 0.33/0.59 (step @p83 :rule nary_cong :premises (@p76 @p82) :args ((or @t95 (not @t92)))) % 0.33/0.59 (step @p84 :rule cnf_or_neg :args (@t95 2)) % 0.33/0.59 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.33/0.59 (step @p86 :rule reordering :premises (@p85) :args ((or @t91 @t95))) % 0.36/0.60 (step @p87 :rule chain_m_resolution :premises (@p86 @p74) :args (@t91 @t96 @t97)) % 0.36/0.60 (step @p88 :rule bool-double-not-elim :args (@t89)) % 0.36/0.60 (step @p89 :rule nary_cong :premises (@p76 @p88) :args ((or @t95 (not @t90)))) % 0.36/0.60 (step @p90 :rule cnf_or_neg :args (@t95 3)) % 0.36/0.60 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.36/0.60 (step @p92 :rule reordering :premises (@p91) :args ((or @t89 @t95))) % 0.36/0.60 (step @p93 :rule chain_m_resolution :premises (@p92 @p74) :args (@t89 @t96 @t97)) % 0.36/0.60 (step @p94 :rule cnf_or_neg :args (@t95 0)) % 0.36/0.60 (step @p95 :rule chain_m_resolution :premises (@p94 @p74) :args ((not @t94) @t96 @t97)) % 0.36/0.60 (step @p96 :rule cnf_and_pos :args (@t98 0)) % 0.36/0.60 (step @p97 :rule reordering :premises (@p96) :args ((or @t94 @t99))) % 0.36/0.60 (step @p98 :rule chain_m_resolution :premises (@p97 @p95) :args (@t99 @t96 (@list @t94))) % 0.36/0.60 (step @p99 :rule aci_norm :args ((= @t109 (or @t107 @t106 @t105 @t104)))) % 0.36/0.60 (step @p100 :rule cong :premises (@p99) :args (@t110)) % 0.36/0.60 (step @p101 :rule quant-merge-prenex :args ((= (forall @t5 @t112) @t110))) % 0.36/0.60 (step @p102 :rule alpha_equiv :args (@t113 (@list @t102 @t101 @t100) @t73)) % 0.36/0.60 (step @p103 :rule refl :args (@t107)) % 0.36/0.60 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t114)) % 0.36/0.60 (step @p105 :rule quant-miniscope-or :args ((= @t112 @t114))) % 0.36/0.60 (step @p106 :rule trans :premises (@p105 @p104)) % 0.36/0.60 (step @p107 :rule symm :premises (@p106)) % 0.36/0.60 (step @p108 :rule cong :premises (@p107) :args ((forall @t5 (or @t107 @t77)))) % 0.36/0.60 (step @p109 :rule trans :premises (@p108 @p101)) % 0.36/0.60 (step @p110 :rule trans :premises (@p109 @p100)) % 0.36/0.60 (step @p111 :rule bool-double-not-elim :args (@t29)) % 0.36/0.60 (step @p112 :rule nary_cong :premises (@p58 @p111) :args ((and @t78 (not @t30)))) % 0.36/0.60 (step @p113 :rule bool-or-de-morgan :args (@t51 @t30 false)) % 0.36/0.60 (step @p114 :rule trans :premises (@p113 @p112)) % 0.36/0.60 (step @p115 :rule nary_cong :premises (@p114 @p57) :args ((or (not @t52) @t77))) % 0.36/0.60 (step @p116 :rule bool-impl-elim :args (@t52 @t77)) % 0.36/0.60 (step @p117 :rule trans :premises (@p116 @p115)) % 0.36/0.60 (step @p118 :rule cong :premises (@p117) :args ((forall @t5 (=> @t52 @t77)))) % 0.36/0.60 (step @p119 :rule trans :premises (@p118 @p110)) % 0.36/0.60 (step @p120 :rule refl :args (@t52)) % 0.36/0.60 (step @p121 :rule cong :premises (@p120 @p67) :args (@t53)) % 0.36/0.60 (step @p122 :rule cong :premises (@p121) :args (@t54)) % 0.36/0.60 (step @p123 :rule trans :premises (@p122 @p119)) % 0.36/0.60 (step @p124 :rule eq_resolve :premises (@p42 @p123)) % 0.36/0.60 (step @p125 :rule instantiate :premises (@p124) :args ((@list @t86 @t85 @t84 @t82 @t81 @t80))) % 0.36/0.60 (step @p126 :rule cnf_or_pos :args (@t115)) % 0.36/0.60 (step @p127 :rule reordering :premises (@p126) :args ((or @t93 @t92 @t90 @t98 (not @t115)))) % 0.36/0.60 (step @p128 false :rule chain_m_resolution :premises (@p127 @p125 @p98 @p93 @p87 @p81) :args (false (@list false true false false false) (@list @t115 @t98 @t89 @t91 @t88))) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------