%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV137^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:55:30 AM UTC 2026 % Result : Theorem 0.35s 0.60s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEV137^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n013.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 18:15:15 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.52 %----Proving TH0 % 0.35/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.60 % SZS status Theorem % 0.35/0.60 % SZS output start Proof % 0.35/0.60 ( % 0.35/0.60 (declare-sort tptp.a 0) % 0.35/0.60 (define @t1 () (@var "Xz" tptp.a)) % 0.35/0.60 (define @t2 () (@var "Xx0" (-> tptp.a Bool))) % 0.35/0.60 (define @t3 () (_ @t2 @t1)) % 0.35/0.60 (define @t4 () (@var "Xx" tptp.a)) % 0.35/0.60 (define @t5 () (_ @t2 @t4)) % 0.35/0.60 (define @t6 () (=> @t5 @t3)) % 0.35/0.60 (define @t7 () (@var "Xz0" tptp.a)) % 0.35/0.60 (define @t8 () (_ @t2 @t7)) % 0.35/0.60 (define @t9 () (@var "Xy0" tptp.a)) % 0.35/0.60 (define @t10 () (_ @t2 @t9)) % 0.35/0.60 (define @t11 () (@var "Xr" (-> tptp.a tptp.a Bool))) % 0.35/0.60 (define @t12 () (_ (_ @t11 @t9) @t7)) % 0.35/0.60 (define @t13 () (and @t12 @t10)) % 0.35/0.60 (define @t14 () (@list @t9 @t7)) % 0.35/0.60 (define @t15 () (forall @t14 (=> @t13 @t8))) % 0.35/0.60 (define @t16 () (=> @t15 @t6)) % 0.35/0.60 (define @t17 () (@list @t2)) % 0.35/0.60 (define @t18 () (forall @t17 @t16)) % 0.35/0.60 (define @t19 () (@var "Xy" tptp.a)) % 0.35/0.60 (define @t20 () (_ @t2 @t19)) % 0.35/0.60 (define @t21 () (=> @t20 @t3)) % 0.35/0.60 (define @t22 () (=> @t15 @t21)) % 0.35/0.60 (define @t23 () (forall @t17 @t22)) % 0.35/0.60 (define @t24 () (=> @t5 @t20)) % 0.35/0.60 (define @t25 () (=> @t15 @t24)) % 0.35/0.60 (define @t26 () (forall @t17 @t25)) % 0.35/0.60 (define @t27 () (and @t26 @t23)) % 0.35/0.60 (define @t28 () (=> @t27 @t18)) % 0.35/0.60 (define @t29 () (@list @t11 @t4 @t19 @t1)) % 0.35/0.60 (define @t30 () (forall @t29 @t28)) % 0.35/0.60 (define @t31 () (not @t30)) % 0.35/0.60 (define @t32 () (@var "BOUND_VARIABLE_7493" (-> tptp.a Bool))) % 0.35/0.60 (define @t33 () (_ @t32 @t1)) % 0.35/0.60 (define @t34 () (not (_ @t32 @t4))) % 0.35/0.60 (define @t35 () (_ @t11 @t9 @t7)) % 0.35/0.60 (define @t36 () (not @t35)) % 0.35/0.60 (define @t37 () (not (forall @t14 (or @t36 (not (_ @t32 @t9)) (_ @t32 @t7))))) % 0.35/0.60 (define @t38 () (_ @t2 @t1)) % 0.35/0.60 (define @t39 () (_ @t2 @t19)) % 0.35/0.60 (define @t40 () (_ @t2 @t7)) % 0.35/0.60 (define @t41 () (_ @t2 @t9)) % 0.35/0.60 (define @t42 () (not @t41)) % 0.35/0.60 (define @t43 () (forall @t14 (or @t36 @t42 @t40))) % 0.35/0.60 (define @t44 () (not @t43)) % 0.35/0.60 (define @t45 () (forall @t17 (or @t44 (not @t39) @t38))) % 0.35/0.60 (define @t46 () (not @t45)) % 0.35/0.60 (define @t47 () (_ @t2 @t4)) % 0.35/0.60 (define @t48 () (not @t47)) % 0.35/0.60 (define @t49 () (forall @t17 (or @t44 @t48 @t39))) % 0.35/0.60 (define @t50 () (not @t49)) % 0.35/0.60 (define @t51 () (or @t50 @t46 @t37 @t34 @t33)) % 0.35/0.60 (define @t52 () (or @t37 @t34 @t33)) % 0.35/0.60 (define @t53 () (or @t50 @t46 @t52)) % 0.35/0.60 (define @t54 () (@list @t11 @t4 @t19 @t1 @t32)) % 0.35/0.60 (define @t55 () (forall @t54 @t53)) % 0.35/0.60 (define @t56 () (@list @t32)) % 0.35/0.60 (define @t57 () (forall @t56 @t53)) % 0.35/0.60 (define @t58 () (forall @t56 @t52)) % 0.35/0.60 (define @t59 () (or @t50 @t46 @t58)) % 0.35/0.60 (define @t60 () (forall @t17 (or @t44 @t48 @t38))) % 0.35/0.60 (define @t61 () (or @t50 @t46 @t60)) % 0.35/0.60 (define @t62 () (and @t49 @t45)) % 0.35/0.60 (define @t63 () (not @t5)) % 0.35/0.60 (define @t64 () (or @t44 @t63 @t3)) % 0.35/0.60 (define @t65 () (not @t10)) % 0.35/0.60 (define @t66 () (not @t12)) % 0.35/0.60 (define @t67 () (or @t66 @t65 @t8)) % 0.35/0.60 (define @t68 () (not @t20)) % 0.35/0.60 (define @t69 () (or @t44 @t68 @t3)) % 0.35/0.60 (define @t70 () (or @t44 @t63 @t20)) % 0.35/0.60 (define @t71 () (forall @t54 @t51)) % 0.35/0.60 (define @t72 () (@quantifiers_skolemize @t71 4)) % 0.35/0.60 (define @t73 () (not (_ (@quantifiers_skolemize @t71 0) @t9 @t7))) % 0.35/0.60 (define @t74 () (forall @t14 (or @t73 (not (_ @t72 @t9)) (_ @t72 @t7)))) % 0.35/0.60 (define @t75 () (@quantifiers_skolemize @t71 3)) % 0.35/0.60 (define @t76 () (_ @t72 @t75)) % 0.35/0.60 (define @t77 () (@quantifiers_skolemize @t71 1)) % 0.35/0.60 (define @t78 () (_ @t72 @t77)) % 0.35/0.60 (define @t79 () (not @t78)) % 0.35/0.60 (define @t80 () (not @t74)) % 0.35/0.60 (define @t81 () (@quantifiers_skolemize @t71 2)) % 0.35/0.60 (define @t82 () (_ @t2 @t81)) % 0.35/0.60 (define @t83 () (not (forall @t14 (or @t73 @t42 @t40)))) % 0.35/0.60 (define @t84 () (forall @t17 (or @t83 (not @t82) (_ @t2 @t75)))) % 0.35/0.60 (define @t85 () (not @t84)) % 0.35/0.60 (define @t86 () (forall @t17 (or @t83 (not (_ @t2 @t77)) @t82))) % 0.35/0.60 (define @t87 () (not @t86)) % 0.35/0.60 (define @t88 () (or @t87 @t85 @t80 @t79 @t76)) % 0.35/0.60 (define @t89 () (@list true)) % 0.35/0.60 (define @t90 () (@list @t88)) % 0.35/0.60 (define @t91 () (@list @t72)) % 0.35/0.60 (define @t92 () (_ @t72 @t81)) % 0.35/0.60 (define @t93 () (or @t80 @t79 @t92)) % 0.35/0.60 (define @t94 () (not @t92)) % 0.35/0.60 (define @t95 () (or @t80 @t94 @t76)) % 0.35/0.60 (assume @p1 @t31) % 0.35/0.60 (assume @p2 true) % 0.35/0.60 (step @p3 :rule aci_norm :args ((= @t53 @t51))) % 0.35/0.60 (step @p4 :rule cong :premises (@p3) :args (@t55)) % 0.35/0.60 (step @p5 :rule quant-merge-prenex :args ((= (forall @t29 @t57) @t55))) % 0.35/0.60 (step @p6 :rule alpha_equiv :args (@t58 (@list @t32) (@list @t2))) % 0.35/0.60 (step @p7 :rule refl :args (@t46)) % 0.35/0.60 (step @p8 :rule refl :args (@t50)) % 0.35/0.60 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t59)) % 0.35/0.60 (step @p10 :rule quant-miniscope-or :args ((= @t57 @t59))) % 0.35/0.60 (step @p11 :rule trans :premises (@p10 @p9)) % 0.35/0.60 (step @p12 :rule symm :premises (@p11)) % 0.35/0.60 (step @p13 :rule cong :premises (@p12) :args ((forall @t29 @t61))) % 0.35/0.60 (step @p14 :rule trans :premises (@p13 @p5)) % 0.35/0.60 (step @p15 :rule trans :premises (@p14 @p4)) % 0.35/0.60 (step @p16 :rule aci_norm :args ((= (or (or @t50 @t46) @t60) @t61))) % 0.35/0.60 (step @p17 :rule refl :args (@t60)) % 0.35/0.60 (step @p18 :rule bool-and-de-morgan :args (@t49 @t45 true)) % 0.35/0.60 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t62) @t60))) % 0.35/0.60 (step @p20 :rule trans :premises (@p19 @p16)) % 0.35/0.60 (step @p21 :rule bool-impl-elim :args (@t62 @t60)) % 0.35/0.60 (step @p22 :rule trans :premises (@p21 @p20)) % 0.35/0.60 (step @p23 :rule cong :premises (@p22) :args ((forall @t29 (=> @t62 @t60)))) % 0.35/0.60 (step @p24 :rule trans :premises (@p23 @p15)) % 0.35/0.60 (step @p25 :rule refl :args (@t38)) % 0.35/0.60 (step @p26 :rule refl :args (@t3)) % 0.35/0.60 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t3 @t38))) % 0.35/0.60 (step @p28 :rule symm :premises (@p27)) % 0.35/0.60 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.35/0.60 (step @p30 :rule refl :args (@t47)) % 0.35/0.60 (step @p31 :rule refl :args (@t5)) % 0.35/0.60 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t5 @t47))) % 0.35/0.60 (step @p33 :rule symm :premises (@p32)) % 0.35/0.60 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.35/0.60 (step @p35 :rule cong :premises (@p34) :args (@t63)) % 0.35/0.60 (step @p36 :rule refl :args (@t44)) % 0.35/0.60 (step @p37 :rule nary_cong :premises (@p36 @p35 @p29) :args (@t64)) % 0.35/0.60 (step @p38 :rule cong :premises (@p37) :args ((forall @t17 @t64))) % 0.35/0.60 (step @p39 :rule aci_norm :args ((= (or @t44 (or @t63 @t3)) @t64))) % 0.35/0.60 (step @p40 :rule bool-impl-elim :args (@t5 @t3)) % 0.35/0.60 (step @p41 :rule nary_cong :premises (@p36 @p40) :args ((or @t44 @t6))) % 0.35/0.60 (step @p42 :rule trans :premises (@p41 @p39)) % 0.35/0.60 (step @p43 :rule bool-impl-elim :args (@t43 @t6)) % 0.35/0.60 (step @p44 :rule trans :premises (@p43 @p42)) % 0.35/0.60 (step @p45 :rule cong :premises (@p44) :args ((forall @t17 (=> @t43 @t6)))) % 0.35/0.60 (step @p46 :rule trans :premises (@p45 @p38)) % 0.35/0.60 (step @p47 :rule refl :args (@t6)) % 0.35/0.60 (step @p48 :rule refl :args (@t40)) % 0.35/0.60 (step @p49 :rule refl :args (@t8)) % 0.35/0.60 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t8 @t40))) % 0.35/0.60 (step @p51 :rule symm :premises (@p50)) % 0.35/0.60 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.35/0.60 (step @p53 :rule refl :args (@t41)) % 0.35/0.60 (step @p54 :rule refl :args (@t10)) % 0.35/0.60 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t10 @t41))) % 0.35/0.60 (step @p56 :rule symm :premises (@p55)) % 0.35/0.60 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.35/0.60 (step @p58 :rule cong :premises (@p57) :args (@t65)) % 0.35/0.60 (step @p59 :rule refl :args (@t35)) % 0.35/0.60 (step @p60 :rule refl :args (@t12)) % 0.35/0.60 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t12 @t35))) % 0.35/0.60 (step @p62 :rule symm :premises (@p61)) % 0.35/0.60 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.35/0.60 (step @p64 :rule cong :premises (@p63) :args (@t66)) % 0.35/0.60 (step @p65 :rule nary_cong :premises (@p64 @p58 @p52) :args (@t67)) % 0.35/0.60 (step @p66 :rule cong :premises (@p65) :args ((forall @t14 @t67))) % 0.35/0.60 (step @p67 :rule aci_norm :args ((= (or (or @t66 @t65) @t8) @t67))) % 0.35/0.60 (step @p68 :rule bool-and-de-morgan :args (@t12 @t10 true)) % 0.35/0.60 (step @p69 :rule nary_cong :premises (@p68 @p49) :args ((or (not @t13) @t8))) % 0.35/0.60 (step @p70 :rule trans :premises (@p69 @p67)) % 0.35/0.60 (step @p71 :rule bool-impl-elim :args (@t13 @t8)) % 0.35/0.60 (step @p72 :rule trans :premises (@p71 @p70)) % 0.35/0.60 (step @p73 :rule cong :premises (@p72) :args (@t15)) % 0.35/0.60 (step @p74 :rule trans :premises (@p73 @p66)) % 0.35/0.60 (step @p75 :rule cong :premises (@p74 @p47) :args (@t16)) % 0.35/0.60 (step @p76 :rule cong :premises (@p75) :args (@t18)) % 0.35/0.60 (step @p77 :rule trans :premises (@p76 @p46)) % 0.35/0.60 (step @p78 :rule refl :args (@t39)) % 0.35/0.60 (step @p79 :rule refl :args (@t20)) % 0.35/0.60 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t20 @t39))) % 0.35/0.60 (step @p81 :rule symm :premises (@p80)) % 0.35/0.60 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.35/0.60 (step @p83 :rule cong :premises (@p82) :args (@t68)) % 0.35/0.60 (step @p84 :rule nary_cong :premises (@p36 @p83 @p29) :args (@t69)) % 0.35/0.60 (step @p85 :rule cong :premises (@p84) :args ((forall @t17 @t69))) % 0.35/0.60 (step @p86 :rule aci_norm :args ((= (or @t44 (or @t68 @t3)) @t69))) % 0.35/0.60 (step @p87 :rule bool-impl-elim :args (@t20 @t3)) % 0.35/0.60 (step @p88 :rule nary_cong :premises (@p36 @p87) :args ((or @t44 @t21))) % 0.35/0.60 (step @p89 :rule trans :premises (@p88 @p86)) % 0.35/0.60 (step @p90 :rule bool-impl-elim :args (@t43 @t21)) % 0.35/0.60 (step @p91 :rule trans :premises (@p90 @p89)) % 0.35/0.60 (step @p92 :rule cong :premises (@p91) :args ((forall @t17 (=> @t43 @t21)))) % 0.35/0.60 (step @p93 :rule trans :premises (@p92 @p85)) % 0.35/0.60 (step @p94 :rule refl :args (@t21)) % 0.35/0.60 (step @p95 :rule cong :premises (@p74 @p94) :args (@t22)) % 0.35/0.60 (step @p96 :rule cong :premises (@p95) :args (@t23)) % 0.35/0.60 (step @p97 :rule trans :premises (@p96 @p93)) % 0.35/0.60 (step @p98 :rule nary_cong :premises (@p36 @p35 @p82) :args (@t70)) % 0.35/0.60 (step @p99 :rule cong :premises (@p98) :args ((forall @t17 @t70))) % 0.35/0.60 (step @p100 :rule aci_norm :args ((= (or @t44 (or @t63 @t20)) @t70))) % 0.35/0.60 (step @p101 :rule bool-impl-elim :args (@t5 @t20)) % 0.35/0.60 (step @p102 :rule nary_cong :premises (@p36 @p101) :args ((or @t44 @t24))) % 0.35/0.60 (step @p103 :rule trans :premises (@p102 @p100)) % 0.35/0.60 (step @p104 :rule bool-impl-elim :args (@t43 @t24)) % 0.35/0.60 (step @p105 :rule trans :premises (@p104 @p103)) % 0.35/0.60 (step @p106 :rule cong :premises (@p105) :args ((forall @t17 (=> @t43 @t24)))) % 0.35/0.60 (step @p107 :rule trans :premises (@p106 @p99)) % 0.35/0.60 (step @p108 :rule refl :args (@t24)) % 0.35/0.60 (step @p109 :rule cong :premises (@p74 @p108) :args (@t25)) % 0.35/0.60 (step @p110 :rule cong :premises (@p109) :args (@t26)) % 0.35/0.60 (step @p111 :rule trans :premises (@p110 @p107)) % 0.35/0.60 (step @p112 :rule nary_cong :premises (@p111 @p97) :args (@t27)) % 0.35/0.60 (step @p113 :rule cong :premises (@p112 @p77) :args (@t28)) % 0.35/0.60 (step @p114 :rule cong :premises (@p113) :args (@t30)) % 0.35/0.60 (step @p115 :rule trans :premises (@p114 @p24)) % 0.35/0.60 (step @p116 :rule cong :premises (@p115) :args (@t31)) % 0.35/0.60 (step @p117 :rule eq_resolve :premises (@p1 @p116)) % 0.35/0.60 (step @p118 :rule skolemize :premises (@p117)) % 0.35/0.60 (step @p119 :rule bool-double-not-elim :args (@t74)) % 0.35/0.60 (step @p120 :rule refl :args (@t88)) % 0.35/0.60 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t88 (not @t80)))) % 0.35/0.60 (step @p122 :rule cnf_or_neg :args (@t88 2)) % 0.35/0.60 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.35/0.60 (step @p124 :rule reordering :premises (@p123) :args ((or @t74 @t88))) % 0.35/0.60 (step @p125 :rule chain_m_resolution :premises (@p124 @p118) :args (@t74 @t89 @t90)) % 0.35/0.60 (step @p126 :rule cnf_or_neg :args (@t88 4)) % 0.35/0.60 (step @p127 :rule chain_m_resolution :premises (@p126 @p118) :args ((not @t76) @t89 @t90)) % 0.35/0.60 (step @p128 :rule bool-double-not-elim :args (@t84)) % 0.35/0.60 (step @p129 :rule nary_cong :premises (@p120 @p128) :args ((or @t88 (not @t85)))) % 0.35/0.60 (step @p130 :rule cnf_or_neg :args (@t88 1)) % 0.35/0.60 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 0.35/0.60 (step @p132 :rule reordering :premises (@p131) :args ((or @t84 @t88))) % 0.35/0.60 (step @p133 :rule chain_m_resolution :premises (@p132 @p118) :args (@t84 @t89 @t90)) % 0.35/0.60 (step @p134 :rule instantiate :premises (@p133) :args (@t91)) % 0.35/0.60 (step @p135 :rule bool-double-not-elim :args (@t86)) % 0.35/0.60 (step @p136 :rule nary_cong :premises (@p120 @p135) :args ((or @t88 (not @t87)))) % 0.35/0.60 (step @p137 :rule cnf_or_neg :args (@t88 0)) % 0.35/0.60 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 0.35/0.60 (step @p139 :rule reordering :premises (@p138) :args ((or @t86 @t88))) % 0.35/0.60 (step @p140 :rule chain_m_resolution :premises (@p139 @p118) :args (@t86 @t89 @t90)) % 0.35/0.60 (step @p141 :rule instantiate :premises (@p140) :args (@t91)) % 0.35/0.60 (step @p142 :rule bool-double-not-elim :args (@t78)) % 0.35/0.60 (step @p143 :rule nary_cong :premises (@p120 @p142) :args ((or @t88 (not @t79)))) % 0.35/0.60 (step @p144 :rule cnf_or_neg :args (@t88 3)) % 0.35/0.60 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.35/0.60 (step @p146 :rule reordering :premises (@p145) :args ((or @t78 @t88))) % 0.35/0.60 (step @p147 :rule chain_m_resolution :premises (@p146 @p118) :args (@t78 @t89 @t90)) % 0.35/0.60 (step @p148 :rule cnf_or_pos :args (@t93)) % 0.35/0.60 (step @p149 :rule reordering :premises (@p148) :args ((or @t80 @t79 @t92 (not @t93)))) % 0.35/0.60 (step @p150 :rule chain_m_resolution :premises (@p149 @p125 @p147 @p141) :args (@t92 (@list false false false) (@list @t74 @t78 @t93))) % 0.35/0.60 (step @p151 :rule cnf_or_pos :args (@t95)) % 0.35/0.60 (step @p152 :rule reordering :premises (@p151) :args ((or @t80 @t76 @t94 (not @t95)))) % 0.35/0.60 (step @p153 false :rule chain_m_resolution :premises (@p152 @p150 @p134 @p127 @p125) :args (false (@list false false true false) (@list @t92 @t95 @t76 @t74))) % 0.35/0.60 ) % 0.35/0.60 % SZS output end Proof % 0.35/0.60 % cvc5 exiting %------------------------------------------------------------------------------