%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU196+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 : n024.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 08:50:55 AM UTC 2026 % Result : Theorem 0.14s 0.36s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU196+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 11:37:45 EDT 2026 % 0.06/0.25 % CPUTime : % 0.06/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.14/0.36 % SZS status Theorem % 0.14/0.36 % SZS output start Proof % 0.14/0.36 ( % 0.14/0.36 (declare-sort $$unsorted 0) % 0.14/0.36 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.14/0.36 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.14/0.36 (declare-const tptp.empty_set $$unsorted) % 0.14/0.36 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.14/0.36 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.14/0.36 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.14/0.36 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.14/0.36 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.14/0.36 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.36 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.14/0.36 (define @t1 () (@var "A" $$unsorted)) % 0.14/0.36 (define @t2 () (@var "B" $$unsorted)) % 0.14/0.36 (define @t3 () (tptp.in @t1 @t2)) % 0.14/0.36 (define @t4 () (@list @t1 @t2)) % 0.14/0.36 (define @t5 () (tptp.relation @t1)) % 0.14/0.36 (define @t6 () (tptp.empty @t1)) % 0.14/0.36 (define @t7 () (@list @t1)) % 0.14/0.36 (define @t8 () (tptp.relation (tptp.relation_dom_restriction @t1 @t2))) % 0.14/0.36 (define @t9 () (forall @t4 (=> @t5 @t8))) % 0.14/0.36 (define @t10 () (@list @t2)) % 0.14/0.36 (define @t11 () (tptp.powerset @t1)) % 0.14/0.36 (define @t12 () (tptp.empty tptp.empty_set)) % 0.14/0.36 (define @t13 () (tptp.relation_dom @t1)) % 0.14/0.36 (define @t14 () (tptp.empty @t13)) % 0.14/0.36 (define @t15 () (not @t6)) % 0.14/0.36 (define @t16 () (and @t15 @t5)) % 0.14/0.36 (define @t17 () (tptp.relation_rng @t1)) % 0.14/0.36 (define @t18 () (tptp.empty @t17)) % 0.14/0.36 (define @t19 () (tptp.empty @t2)) % 0.14/0.36 (define @t20 () (tptp.element @t2 @t11)) % 0.14/0.36 (define @t21 () (tptp.element @t1 @t2)) % 0.14/0.36 (define @t22 () (tptp.relation_rng @t2)) % 0.14/0.36 (define @t23 () (and (tptp.subset @t13 (tptp.relation_dom @t2)) (tptp.subset @t17 @t22))) % 0.14/0.36 (define @t24 () (tptp.subset @t1 @t2)) % 0.14/0.36 (define @t25 () (=> @t24 @t23)) % 0.14/0.36 (define @t26 () (tptp.relation @t2)) % 0.14/0.36 (define @t27 () (forall @t10 (=> @t26 @t25))) % 0.14/0.36 (define @t28 () (=> @t5 @t27)) % 0.14/0.36 (define @t29 () (forall @t7 @t28)) % 0.14/0.36 (define @t30 () (@var "C" $$unsorted)) % 0.14/0.36 (define @t31 () (tptp.element @t2 (tptp.powerset @t30))) % 0.14/0.36 (define @t32 () (@list @t1 @t2 @t30)) % 0.14/0.36 (define @t33 () (tptp.relation_dom_restriction @t2 @t1)) % 0.14/0.36 (define @t34 () (tptp.subset @t33 @t2)) % 0.14/0.36 (define @t35 () (forall @t4 (=> @t26 @t34))) % 0.14/0.36 (define @t36 () (tptp.subset (tptp.relation_rng @t33) @t22)) % 0.14/0.36 (define @t37 () (forall @t4 (=> @t26 @t36))) % 0.14/0.36 (define @t38 () (not @t37)) % 0.14/0.36 (define @t39 () (not @t26)) % 0.14/0.36 (define @t40 () (forall @t4 (or @t39 @t36))) % 0.14/0.36 (define @t41 () (@quantifiers_skolemize @t40 1)) % 0.14/0.36 (define @t42 () (tptp.relation @t41)) % 0.14/0.36 (define @t43 () (@quantifiers_skolemize @t40 0)) % 0.14/0.36 (define @t44 () (tptp.relation_dom_restriction @t41 @t43)) % 0.14/0.36 (define @t45 () (tptp.subset (tptp.relation_rng @t44) (tptp.relation_rng @t41))) % 0.14/0.36 (define @t46 () (not @t42)) % 0.14/0.36 (define @t47 () (or @t46 @t45)) % 0.14/0.36 (define @t48 () (@list true)) % 0.14/0.36 (define @t49 () (@list @t47)) % 0.14/0.36 (define @t50 () (@var "BOUND_VARIABLE_7625" $$unsorted)) % 0.14/0.36 (define @t51 () (and (tptp.subset @t13 (tptp.relation_dom @t50)) (tptp.subset @t17 (tptp.relation_rng @t50)))) % 0.14/0.36 (define @t52 () (not (tptp.subset @t1 @t50))) % 0.14/0.36 (define @t53 () (not (tptp.relation @t50))) % 0.14/0.36 (define @t54 () (not @t5)) % 0.14/0.36 (define @t55 () (or @t53 @t52 @t51)) % 0.14/0.36 (define @t56 () (or @t54 @t55)) % 0.14/0.36 (define @t57 () (forall (@list @t1 @t50) @t56)) % 0.14/0.36 (define @t58 () (@list @t50)) % 0.14/0.36 (define @t59 () (forall @t58 @t56)) % 0.14/0.36 (define @t60 () (forall @t58 @t55)) % 0.14/0.36 (define @t61 () (or @t54 @t60)) % 0.14/0.36 (define @t62 () (not @t24)) % 0.14/0.36 (define @t63 () (or @t39 @t62 @t23)) % 0.14/0.36 (define @t64 () (forall @t10 @t63)) % 0.14/0.36 (define @t65 () (and (tptp.subset (tptp.relation_dom @t44) (tptp.relation_dom @t41)) @t45)) % 0.14/0.36 (define @t66 () (not @t65)) % 0.14/0.36 (define @t67 () (tptp.relation @t44)) % 0.14/0.36 (define @t68 () (or @t46 @t67)) % 0.14/0.36 (define @t69 () (@list false false)) % 0.14/0.36 (define @t70 () (tptp.subset @t44 @t41)) % 0.14/0.36 (define @t71 () (or @t46 @t70)) % 0.14/0.36 (define @t72 () (not @t70)) % 0.14/0.36 (define @t73 () (not @t67)) % 0.14/0.36 (define @t74 () (or @t73 @t46 @t72 @t65)) % 0.14/0.36 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.14/0.36 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.14/0.36 (assume @p3 true) % 0.14/0.36 (assume @p4 @t9) % 0.14/0.36 (assume @p5 (forall @t7 (exists @t10 (tptp.element @t2 @t1)))) % 0.14/0.36 (assume @p6 (forall @t7 (not (tptp.empty @t11)))) % 0.14/0.36 (assume @p7 @t12) % 0.14/0.36 (assume @p8 (and @t12 (tptp.relation tptp.empty_set))) % 0.14/0.36 (assume @p9 (forall @t7 (=> @t16 (not @t14)))) % 0.14/0.36 (assume @p10 (forall @t7 (=> @t16 (not @t18)))) % 0.14/0.36 (assume @p11 (forall @t7 (=> @t6 (and @t14 (tptp.relation @t13))))) % 0.14/0.36 (assume @p12 (forall @t7 (=> @t6 (and @t18 (tptp.relation @t17))))) % 0.14/0.36 (assume @p13 (exists @t7 (and @t6 @t5))) % 0.14/0.36 (assume @p14 (forall @t7 (=> @t15 (exists @t10 (and @t20 (not @t19)))))) % 0.14/0.36 (assume @p15 (exists @t7 @t6)) % 0.14/0.36 (assume @p16 (exists @t7 @t16)) % 0.14/0.36 (assume @p17 (forall @t7 (exists @t10 (and @t20 @t19)))) % 0.14/0.36 (assume @p18 (exists @t7 @t15)) % 0.14/0.36 (assume @p19 (forall @t4 (tptp.subset @t1 @t1))) % 0.14/0.36 (assume @p20 (forall @t4 (=> @t3 @t21))) % 0.14/0.36 (assume @p21 @t29) % 0.14/0.36 (assume @p22 (forall @t4 (=> @t21 (or @t19 @t3)))) % 0.14/0.36 (assume @p23 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t24))) % 0.14/0.36 (assume @p24 (forall @t32 (=> (and @t3 @t31) (tptp.element @t1 @t30)))) % 0.14/0.36 (assume @p25 (forall @t32 (not (and @t3 @t31 (tptp.empty @t30))))) % 0.14/0.36 (assume @p26 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.14/0.36 (assume @p27 (forall @t4 (not (and @t3 @t19)))) % 0.14/0.36 (assume @p28 @t35) % 0.14/0.36 (assume @p29 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t19)))) % 0.14/0.36 (assume @p30 @t38) % 0.14/0.36 (step @p31 :rule bool-impl-elim :args (@t26 @t36)) % 0.14/0.36 (step @p32 :rule cong :premises (@p31) :args (@t37)) % 0.14/0.36 (step @p33 :rule cong :premises (@p32) :args (@t38)) % 0.14/0.36 (step @p34 :rule eq_resolve :premises (@p30 @p33)) % 0.14/0.36 (step @p35 :rule skolemize :premises (@p34)) % 0.14/0.36 (step @p36 :rule bool-double-not-elim :args (@t42)) % 0.14/0.36 (step @p37 :rule refl :args (@t47)) % 0.14/0.36 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t47 (not @t46)))) % 0.14/0.36 (step @p39 :rule cnf_or_neg :args (@t47 0)) % 0.14/0.36 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.14/0.36 (step @p41 :rule reordering :premises (@p40) :args ((or @t42 @t47))) % 0.14/0.36 (step @p42 :rule chain_m_resolution :premises (@p41 @p35) :args (@t42 @t48 @t49)) % 0.14/0.36 (step @p43 :rule aci_norm :args ((= @t56 (or @t54 @t53 @t52 @t51)))) % 0.14/0.36 (step @p44 :rule cong :premises (@p43) :args (@t57)) % 0.14/0.36 (step @p45 :rule quant-merge-prenex :args ((= (forall @t7 @t59) @t57))) % 0.14/0.36 (step @p46 :rule alpha_equiv :args (@t60 (@list @t50) (@list @t2))) % 0.14/0.36 (step @p47 :rule refl :args (@t54)) % 0.14/0.36 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t61)) % 0.14/0.36 (step @p49 :rule quant-miniscope-or :args ((= @t59 @t61))) % 0.14/0.36 (step @p50 :rule trans :premises (@p49 @p48)) % 0.14/0.36 (step @p51 :rule symm :premises (@p50)) % 0.14/0.36 (step @p52 :rule cong :premises (@p51) :args ((forall @t7 (or @t54 @t64)))) % 0.14/0.36 (step @p53 :rule trans :premises (@p52 @p45)) % 0.14/0.36 (step @p54 :rule trans :premises (@p53 @p44)) % 0.14/0.36 (step @p55 :rule bool-impl-elim :args (@t5 @t64)) % 0.14/0.36 (step @p56 :rule cong :premises (@p55) :args ((forall @t7 (=> @t5 @t64)))) % 0.14/0.36 (step @p57 :rule trans :premises (@p56 @p54)) % 0.14/0.36 (step @p58 :rule aci_norm :args ((= (or @t39 (or @t62 @t23)) @t63))) % 0.14/0.36 (step @p59 :rule bool-impl-elim :args (@t24 @t23)) % 0.14/0.36 (step @p60 :rule refl :args (@t39)) % 0.14/0.36 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t39 @t25))) % 0.14/0.36 (step @p62 :rule trans :premises (@p61 @p58)) % 0.14/0.36 (step @p63 :rule bool-impl-elim :args (@t26 @t25)) % 0.14/0.36 (step @p64 :rule trans :premises (@p63 @p62)) % 0.14/0.36 (step @p65 :rule cong :premises (@p64) :args (@t27)) % 0.14/0.36 (step @p66 :rule refl :args (@t5)) % 0.14/0.36 (step @p67 :rule cong :premises (@p66 @p65) :args (@t28)) % 0.14/0.36 (step @p68 :rule cong :premises (@p67) :args (@t29)) % 0.14/0.36 (step @p69 :rule trans :premises (@p68 @p57)) % 0.14/0.36 (step @p70 :rule eq_resolve :premises (@p21 @p69)) % 0.14/0.36 (step @p71 :rule instantiate :premises (@p70) :args ((@list @t44 @t41))) % 0.14/0.36 (step @p72 :rule cnf_or_neg :args (@t47 1)) % 0.14/0.36 (step @p73 :rule chain_m_resolution :premises (@p72 @p35) :args ((not @t45) @t48 @t49)) % 0.14/0.36 (step @p74 :rule cnf_and_pos :args (@t65 1)) % 0.14/0.36 (step @p75 :rule reordering :premises (@p74) :args ((or @t45 @t66))) % 0.14/0.36 (step @p76 :rule chain_m_resolution :premises (@p75 @p73) :args (@t66 @t48 (@list @t45))) % 0.14/0.36 (step @p77 :rule bool-impl-elim :args (@t5 @t8)) % 0.14/0.36 (step @p78 :rule cong :premises (@p77) :args (@t9)) % 0.14/0.36 (step @p79 :rule eq_resolve :premises (@p4 @p78)) % 0.14/0.36 (step @p80 :rule instantiate :premises (@p79) :args ((@list @t41 @t43))) % 0.14/0.36 (step @p81 :rule cnf_or_pos :args (@t68)) % 0.14/0.36 (step @p82 :rule reordering :premises (@p81) :args ((or @t46 @t67 (not @t68)))) % 0.14/0.36 (step @p83 :rule chain_m_resolution :premises (@p82 @p42 @p80) :args (@t67 @t69 (@list @t42 @t68))) % 0.14/0.37 (step @p84 :rule bool-impl-elim :args (@t26 @t34)) % 0.14/0.37 (step @p85 :rule cong :premises (@p84) :args (@t35)) % 0.14/0.37 (step @p86 :rule eq_resolve :premises (@p28 @p85)) % 0.14/0.37 (step @p87 :rule instantiate :premises (@p86) :args ((@list @t43 @t41))) % 0.14/0.37 (step @p88 :rule cnf_or_pos :args (@t71)) % 0.14/0.37 (step @p89 :rule reordering :premises (@p88) :args ((or @t46 @t70 (not @t71)))) % 0.14/0.37 (step @p90 :rule chain_m_resolution :premises (@p89 @p42 @p87) :args (@t70 @t69 (@list @t42 @t71))) % 0.14/0.37 (step @p91 :rule cnf_or_pos :args (@t74)) % 0.14/0.37 (step @p92 :rule reordering :premises (@p91) :args ((or @t46 @t73 @t72 @t65 (not @t74)))) % 0.14/0.37 (step @p93 false :rule chain_m_resolution :premises (@p92 @p90 @p83 @p76 @p71 @p42) :args (false (@list false false true false false) (@list @t70 @t67 @t65 @t74 @t42))) % 0.14/0.37 ) % 0.14/0.37 % SZS output end Proof % 0.14/0.37 % cvc5 exiting %------------------------------------------------------------------------------