%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV386+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 09:01:20 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV386+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n023.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 20:07:13 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.bottom $$unsorted) % 0.37/0.60 (declare-const tptp.create_slb $$unsorted) % 0.37/0.60 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.ok (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.bad $$unsorted) % 0.37/0.60 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (define @t1 () (@var "W" $$unsorted)) % 0.37/0.60 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.60 (define @t3 () (@var "V" $$unsorted)) % 0.37/0.60 (define @t4 () (tptp.less_than @t2 @t3)) % 0.37/0.60 (define @t5 () (@list @t2 @t3 @t1)) % 0.37/0.60 (define @t6 () (tptp.less_than @t3 @t2)) % 0.37/0.60 (define @t7 () (@list @t2 @t3)) % 0.37/0.60 (define @t8 () (@list @t2)) % 0.37/0.60 (define @t9 () (tptp.pair @t3 @t1)) % 0.37/0.60 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.37/0.60 (define @t11 () (= @t3 @t1)) % 0.37/0.60 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.37/0.60 (define @t13 () (@var "X" $$unsorted)) % 0.37/0.60 (define @t14 () (tptp.pair @t3 @t13)) % 0.37/0.60 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.37/0.60 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.37/0.60 (define @t17 () (@var "Y" $$unsorted)) % 0.37/0.60 (define @t18 () (@list @t2 @t3 @t1 @t13 @t17)) % 0.37/0.60 (define @t19 () (and (not @t11) @t12)) % 0.37/0.60 (define @t20 () (tptp.update_slb @t2 @t1)) % 0.37/0.60 (define @t21 () (tptp.update_slb @t15 @t1)) % 0.37/0.60 (define @t22 () (tptp.succ_cpq @t2 @t3)) % 0.37/0.60 (define @t23 () (tptp.triple @t2 tptp.create_slb @t3)) % 0.37/0.60 (define @t24 () (tptp.triple @t2 @t3 @t1)) % 0.37/0.60 (define @t25 () (tptp.check_cpq @t24)) % 0.37/0.60 (define @t26 () (tptp.check_cpq (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t13 @t17)) @t1))) % 0.37/0.60 (define @t27 () (tptp.contains_slb @t3 @t13)) % 0.37/0.60 (define @t28 () (tptp.triple @t2 @t3 tptp.bad)) % 0.37/0.60 (define @t29 () (tptp.insert_cpq @t24 @t13)) % 0.37/0.60 (define @t30 () (tptp.remove_cpq @t24 @t13)) % 0.37/0.60 (define @t31 () (tptp.remove_slb @t3 @t13)) % 0.37/0.60 (define @t32 () (tptp.remove_pqp @t2 @t13)) % 0.37/0.60 (define @t33 () (tptp.lookup_slb @t3 @t13)) % 0.37/0.60 (define @t34 () (tptp.findmin_pqp_res @t2)) % 0.37/0.60 (define @t35 () (tptp.update_slb @t3 @t34)) % 0.37/0.60 (define @t36 () (tptp.findmin_cpq_eff @t24)) % 0.37/0.60 (define @t37 () (= @t36 (tptp.triple @t2 @t35 tptp.bad))) % 0.37/0.60 (define @t38 () (tptp.contains_slb @t3 @t34)) % 0.37/0.60 (define @t39 () (not (= @t3 tptp.create_slb))) % 0.37/0.60 (define @t40 () (tptp.lookup_slb @t3 @t34)) % 0.37/0.60 (define @t41 () (tptp.findmin_cpq_res @t2)) % 0.37/0.60 (define @t42 () (not (tptp.check_cpq @t29))) % 0.37/0.60 (define @t43 () (@list @t13)) % 0.37/0.60 (define @t44 () (forall @t43 @t42)) % 0.37/0.60 (define @t45 () (not @t25)) % 0.37/0.60 (define @t46 () (forall @t5 (=> @t45 @t44))) % 0.37/0.60 (define @t47 () (forall @t43 (or @t42 (not (tptp.ok @t29))))) % 0.37/0.60 (define @t48 () (forall @t5 (=> @t45 @t47))) % 0.37/0.60 (define @t49 () (not @t48)) % 0.37/0.60 (define @t50 () (@var "BOUND_VARIABLE_7778" $$unsorted)) % 0.37/0.60 (define @t51 () (not (tptp.check_cpq (tptp.insert_cpq @t24 @t50)))) % 0.37/0.60 (define @t52 () (or @t25 @t51)) % 0.37/0.60 (define @t53 () (forall (@list @t2 @t3 @t1 @t50) @t52)) % 0.37/0.60 (define @t54 () (@list @t50)) % 0.37/0.60 (define @t55 () (forall @t54 @t52)) % 0.37/0.60 (define @t56 () (forall @t54 @t51)) % 0.37/0.60 (define @t57 () (@list @t13)) % 0.37/0.60 (define @t58 () (or @t25 @t56)) % 0.37/0.60 (define @t59 () (not @t45)) % 0.37/0.60 (define @t60 () (@var "BOUND_VARIABLE_7789" $$unsorted)) % 0.37/0.60 (define @t61 () (tptp.insert_cpq @t24 @t60)) % 0.37/0.60 (define @t62 () (not (tptp.ok @t61))) % 0.37/0.60 (define @t63 () (not (tptp.check_cpq @t61))) % 0.37/0.60 (define @t64 () (or @t25 @t63 @t62)) % 0.37/0.60 (define @t65 () (or @t63 @t62)) % 0.37/0.60 (define @t66 () (or @t25 @t65)) % 0.37/0.60 (define @t67 () (@list @t2 @t3 @t1 @t60)) % 0.37/0.60 (define @t68 () (forall @t67 @t66)) % 0.37/0.60 (define @t69 () (@list @t60)) % 0.37/0.60 (define @t70 () (forall @t69 @t66)) % 0.37/0.60 (define @t71 () (forall @t69 @t65)) % 0.37/0.60 (define @t72 () (or @t25 @t71)) % 0.37/0.60 (define @t73 () (forall @t67 @t64)) % 0.37/0.60 (define @t74 () (@quantifiers_skolemize @t73 3)) % 0.37/0.60 (define @t75 () (@quantifiers_skolemize @t73 2)) % 0.37/0.60 (define @t76 () (@quantifiers_skolemize @t73 1)) % 0.37/0.60 (define @t77 () (@quantifiers_skolemize @t73 0)) % 0.37/0.60 (define @t78 () (tptp.triple @t77 @t76 @t75)) % 0.37/0.60 (define @t79 () (tptp.insert_cpq @t78 @t74)) % 0.37/0.60 (define @t80 () (tptp.check_cpq @t79)) % 0.37/0.60 (define @t81 () (not @t80)) % 0.37/0.60 (define @t82 () (tptp.check_cpq @t78)) % 0.37/0.60 (define @t83 () (or @t82 @t81 (not (tptp.ok @t79)))) % 0.37/0.60 (define @t84 () (@list true)) % 0.37/0.60 (define @t85 () (@list @t83)) % 0.37/0.60 (define @t86 () (or @t82 @t81)) % 0.37/0.60 (define @t87 () (not @t86)) % 0.37/0.60 (define @t88 () (@list true false)) % 0.37/0.60 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.37/0.60 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.37/0.60 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.37/0.60 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.37/0.60 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.37/0.60 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.37/0.60 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.37/0.60 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.37/0.60 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.37/0.60 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.37/0.60 (assume @p11 (forall @t18 (= (tptp.pair_in_list @t15 @t1 @t17) (or (tptp.pair_in_list @t2 @t1 @t17) (and @t11 (= @t13 @t17)))))) % 0.37/0.60 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.37/0.60 (assume @p13 (forall @t16 (=> @t19 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.37/0.60 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.37/0.60 (assume @p15 (forall @t16 (=> @t19 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.37/0.60 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.37/0.60 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t21 (tptp.insert_slb @t20 @t9))))) % 0.37/0.60 (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t21 (tptp.insert_slb @t20 @t14))))) % 0.37/0.60 (assume @p19 (forall @t8 (tptp.succ_cpq @t2 @t2))) % 0.37/0.60 (assume @p20 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1))))) % 0.37/0.60 (assume @p21 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1))))) % 0.37/0.60 (assume @p22 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3))))) % 0.37/0.60 (assume @p23 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3))))) % 0.37/0.60 (assume @p24 (forall @t7 (tptp.check_cpq @t23))) % 0.37/0.60 (assume @p25 (forall @t18 (=> (tptp.less_than @t17 @t13) (= @t26 @t25)))) % 0.37/0.60 (assume @p26 (forall @t18 (=> (tptp.strictly_less_than @t13 @t17) (= @t26 false)))) % 0.37/0.60 (assume @p27 (forall @t16 (= (tptp.contains_cpq @t24 @t13) @t27))) % 0.37/0.60 (assume @p28 (forall @t7 (= (tptp.ok @t28) false))) % 0.37/0.60 (assume @p29 (forall @t5 (=> (not (tptp.ok @t24)) (= @t1 tptp.bad)))) % 0.37/0.60 (assume @p30 (forall @t16 (= @t29 (tptp.triple (tptp.insert_pqp @t2 @t13) (tptp.insert_slb @t3 (tptp.pair @t13 tptp.bottom)) @t1)))) % 0.37/0.60 (assume @p31 (forall @t16 (=> (not @t27) (= @t30 @t28)))) % 0.37/0.60 (assume @p32 (forall @t16 (=> (and @t27 (tptp.less_than @t33 @t13)) (= @t30 (tptp.triple @t32 @t31 @t1))))) % 0.37/0.60 (assume @p33 (forall @t16 (=> (and @t27 (tptp.strictly_less_than @t13 @t33)) (= @t30 (tptp.triple @t32 @t31 tptp.bad))))) % 0.37/0.60 (assume @p34 (forall @t7 (= (tptp.findmin_cpq_eff @t23) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 0.37/0.60 (assume @p35 (forall @t16 (=> (and @t39 (not @t38)) @t37))) % 0.37/0.60 (assume @p36 (forall @t16 (=> (and @t39 @t38 (tptp.strictly_less_than @t34 @t40)) @t37))) % 0.37/0.60 (assume @p37 (forall @t16 (=> (and @t39 @t38 (tptp.less_than @t40 @t34)) (= @t36 (tptp.triple @t2 @t35 @t1))))) % 0.37/0.60 (assume @p38 (forall @t7 (= (tptp.findmin_cpq_res @t23) tptp.bottom))) % 0.37/0.60 (assume @p39 (forall @t16 (=> @t39 (= (tptp.findmin_cpq_res @t24) @t34)))) % 0.37/0.60 (assume @p40 (forall @t8 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t41)))) % 0.37/0.60 (assume @p41 (forall @t8 (= (tptp.removemin_cpq_res @t2) @t41))) % 0.37/0.60 (assume @p42 @t46) % 0.37/0.60 (assume @p43 @t49) % 0.37/0.60 (assume @p44 true) % 0.37/0.60 (step @p45 :rule quant-merge-prenex :args ((= (forall @t5 @t55) @t53))) % 0.37/0.60 (step @p46 :rule alpha_equiv :args (@t56 (@list @t50) @t57)) % 0.37/0.60 (step @p47 :rule refl :args (@t25)) % 0.37/0.60 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t58)) % 0.37/0.60 (step @p49 :rule quant-miniscope-or :args ((= @t55 @t58))) % 0.37/0.60 (step @p50 :rule trans :premises (@p49 @p48)) % 0.37/0.60 (step @p51 :rule symm :premises (@p50)) % 0.37/0.60 (step @p52 :rule cong :premises (@p51) :args ((forall @t5 (or @t25 @t44)))) % 0.37/0.60 (step @p53 :rule trans :premises (@p52 @p45)) % 0.37/0.60 (step @p54 :rule refl :args (@t44)) % 0.37/0.60 (step @p55 :rule bool-double-not-elim :args (@t25)) % 0.37/0.60 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t59 @t44))) % 0.37/0.60 (step @p57 :rule bool-impl-elim :args (@t45 @t44)) % 0.37/0.60 (step @p58 :rule trans :premises (@p57 @p56)) % 0.37/0.60 (step @p59 :rule cong :premises (@p58) :args (@t46)) % 0.37/0.60 (step @p60 :rule trans :premises (@p59 @p53)) % 0.37/0.60 (step @p61 :rule eq_resolve :premises (@p42 @p60)) % 0.37/0.60 (step @p62 :rule aci_norm :args ((= @t66 @t64))) % 0.37/0.60 (step @p63 :rule cong :premises (@p62) :args (@t68)) % 0.37/0.60 (step @p64 :rule quant-merge-prenex :args ((= (forall @t5 @t70) @t68))) % 0.37/0.60 (step @p65 :rule alpha_equiv :args (@t71 (@list @t60) @t57)) % 0.37/0.60 (step @p66 :rule nary_cong :premises (@p47 @p65) :args (@t72)) % 0.37/0.60 (step @p67 :rule quant-miniscope-or :args ((= @t70 @t72))) % 0.37/0.60 (step @p68 :rule trans :premises (@p67 @p66)) % 0.37/0.60 (step @p69 :rule symm :premises (@p68)) % 0.37/0.60 (step @p70 :rule cong :premises (@p69) :args ((forall @t5 (or @t25 @t47)))) % 0.37/0.60 (step @p71 :rule trans :premises (@p70 @p64)) % 0.37/0.60 (step @p72 :rule trans :premises (@p71 @p63)) % 0.37/0.60 (step @p73 :rule refl :args (@t47)) % 0.37/0.60 (step @p74 :rule nary_cong :premises (@p55 @p73) :args ((or @t59 @t47))) % 0.37/0.60 (step @p75 :rule bool-impl-elim :args (@t45 @t47)) % 0.37/0.60 (step @p76 :rule trans :premises (@p75 @p74)) % 0.37/0.60 (step @p77 :rule cong :premises (@p76) :args (@t48)) % 0.37/0.60 (step @p78 :rule trans :premises (@p77 @p72)) % 0.37/0.60 (step @p79 :rule cong :premises (@p78) :args (@t49)) % 0.37/0.60 (step @p80 :rule eq_resolve :premises (@p43 @p79)) % 0.37/0.60 (step @p81 :rule skolemize :premises (@p80)) % 0.37/0.60 (step @p82 :rule bool-double-not-elim :args (@t80)) % 0.37/0.60 (step @p83 :rule refl :args (@t83)) % 0.37/0.60 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t83 (not @t81)))) % 0.37/0.60 (step @p85 :rule cnf_or_neg :args (@t83 1)) % 0.37/0.60 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.37/0.60 (step @p87 :rule reordering :premises (@p86) :args ((or @t80 @t83))) % 0.37/0.60 (step @p88 :rule chain_m_resolution :premises (@p87 @p81) :args (@t80 @t84 @t85)) % 0.37/0.60 (step @p89 :rule cnf_or_neg :args (@t83 0)) % 0.37/0.60 (step @p90 :rule chain_m_resolution :premises (@p89 @p81) :args ((not @t82) @t84 @t85)) % 0.37/0.60 (step @p91 :rule cnf_or_pos :args (@t86)) % 0.37/0.60 (step @p92 :rule reordering :premises (@p91) :args ((or @t82 @t81 @t87))) % 0.37/0.60 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p88) :args (@t87 @t88 (@list @t82 @t80))) % 0.37/0.60 (assume-push @p100 @t53) % 0.37/0.60 (step @p95 :rule instantiate :premises (@p61) :args ((@list @t77 @t76 @t75 @t74))) % 0.37/0.60 (step-pop @p101 :rule scope :premises (@p95)) % 0.37/0.60 (step @p96 :rule process_scope :premises (@p101) :args (@t86)) % 0.37/0.60 (step @p98 :rule implies_elim :premises (@p96)) % 0.37/0.60 (step @p99 false :rule chain_m_resolution :premises (@p98 @p93 @p61) :args (false @t88 (@list @t86 @t53))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------