%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV401^5 : 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 08:55:54 AM UTC 2026 % Result : Theorem 0.45s 0.67s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV401^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % 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 18:31:30 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TH0 % 0.45/0.67 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.67 % SZS status Theorem % 0.45/0.67 % SZS output start Proof % 0.45/0.67 ( % 0.45/0.67 (declare-sort tptp.a 0) % 0.45/0.67 (declare-const tptp.cG (-> (-> tptp.a Bool) tptp.a Bool)) % 0.45/0.67 (declare-const tptp.cF (-> (-> tptp.a Bool) tptp.a Bool)) % 0.45/0.67 (define @t1 () (@var "Xx" tptp.a)) % 0.45/0.67 (define @t2 () (@var "S" (-> tptp.a Bool))) % 0.45/0.67 (define @t3 () (_ tptp.cF @t2)) % 0.45/0.67 (define @t4 () (_ @t3 @t1)) % 0.45/0.67 (define @t5 () (_ tptp.cG @t3)) % 0.45/0.67 (define @t6 () (_ (_ tptp.cF @t5) @t1)) % 0.45/0.67 (define @t7 () (@list @t2 @t1)) % 0.45/0.67 (define @t8 () (forall @t7 (= @t6 @t4))) % 0.45/0.67 (define @t9 () (_ @t5 @t1)) % 0.45/0.67 (define @t10 () (_ @t2 @t1)) % 0.45/0.67 (define @t11 () (forall @t7 (=> @t10 @t9))) % 0.45/0.67 (define @t12 () (_ tptp.cG @t2)) % 0.45/0.67 (define @t13 () (_ (_ tptp.cF @t12) @t1)) % 0.45/0.67 (define @t14 () (forall @t7 (=> @t10 @t13))) % 0.45/0.67 (define @t15 () (@var "T" (-> tptp.a Bool))) % 0.45/0.67 (define @t16 () (_ (_ tptp.cF @t15) @t1)) % 0.45/0.67 (define @t17 () (@list @t1)) % 0.45/0.67 (define @t18 () (forall @t17 (=> @t16 @t4))) % 0.45/0.67 (define @t19 () (_ @t15 @t1)) % 0.45/0.67 (define @t20 () (forall @t17 (=> @t10 @t19))) % 0.45/0.67 (define @t21 () (=> @t20 @t18)) % 0.45/0.67 (define @t22 () (@list @t2 @t15)) % 0.45/0.67 (define @t23 () (forall @t22 @t21)) % 0.45/0.67 (define @t24 () (and @t23 @t14 @t11)) % 0.45/0.67 (define @t25 () (=> @t24 @t8)) % 0.45/0.67 (define @t26 () (not @t25)) % 0.45/0.67 (define @t27 () (tptp.cF @t5 @t1)) % 0.45/0.67 (define @t28 () (tptp.cF @t2 @t1)) % 0.45/0.67 (define @t29 () (= @t4 @t6)) % 0.45/0.67 (define @t30 () (tptp.cG @t3 @t1)) % 0.45/0.67 (define @t31 () (_ @t2 @t1)) % 0.45/0.67 (define @t32 () (not @t10)) % 0.45/0.67 (define @t33 () (or @t32 @t9)) % 0.45/0.67 (define @t34 () (tptp.cF @t12 @t1)) % 0.45/0.67 (define @t35 () (or @t32 @t13)) % 0.45/0.67 (define @t36 () (@var "BOUND_VARIABLE_7466" tptp.a)) % 0.45/0.67 (define @t37 () (tptp.cF @t2 @t36)) % 0.45/0.67 (define @t38 () (not (tptp.cF @t15 @t36))) % 0.45/0.67 (define @t39 () (_ @t15 @t1)) % 0.45/0.67 (define @t40 () (not @t31)) % 0.45/0.67 (define @t41 () (forall @t17 (or @t40 @t39))) % 0.45/0.67 (define @t42 () (not @t41)) % 0.45/0.67 (define @t43 () (or @t42 @t38 @t37)) % 0.45/0.67 (define @t44 () (or @t38 @t37)) % 0.45/0.67 (define @t45 () (or @t42 @t44)) % 0.45/0.67 (define @t46 () (@list @t2 @t15 @t36)) % 0.45/0.67 (define @t47 () (forall @t46 @t45)) % 0.45/0.67 (define @t48 () (@list @t36)) % 0.45/0.67 (define @t49 () (forall @t48 @t45)) % 0.45/0.67 (define @t50 () (forall @t48 @t44)) % 0.45/0.67 (define @t51 () (or @t42 @t50)) % 0.45/0.67 (define @t52 () (tptp.cF @t15 @t1)) % 0.45/0.67 (define @t53 () (forall @t17 (or (not @t52) @t28))) % 0.45/0.67 (define @t54 () (not @t16)) % 0.45/0.67 (define @t55 () (or @t54 @t4)) % 0.45/0.67 (define @t56 () (or @t32 @t19)) % 0.45/0.67 (define @t57 () (forall @t7 (= @t28 @t27))) % 0.45/0.67 (define @t58 () (@quantifiers_skolemize @t57 1)) % 0.45/0.67 (define @t59 () (@quantifiers_skolemize @t57 0)) % 0.45/0.67 (define @t60 () (tptp.cF @t59 @t58)) % 0.45/0.67 (define @t61 () (_ tptp.cF @t59)) % 0.45/0.67 (define @t62 () (_ tptp.cG @t61)) % 0.45/0.67 (define @t63 () (tptp.cF @t62 @t58)) % 0.45/0.67 (define @t64 () (not @t63)) % 0.45/0.67 (define @t65 () (tptp.cG @t61 @t1)) % 0.45/0.67 (define @t66 () (_ @t62 @t1)) % 0.45/0.67 (define @t67 () (not (_ @t59 @t1))) % 0.45/0.67 (define @t68 () (or @t67 @t66)) % 0.45/0.67 (define @t69 () (_ @t62 @t1)) % 0.45/0.67 (define @t70 () (or @t67 @t69)) % 0.45/0.67 (define @t71 () (forall @t17 @t70)) % 0.45/0.67 (define @t72 () (not @t71)) % 0.45/0.67 (define @t73 () (or @t72 @t64 @t60)) % 0.45/0.67 (define @t74 () (forall @t46 @t43)) % 0.45/0.67 (define @t75 () (forall @t17 (or @t67 @t65))) % 0.45/0.67 (define @t76 () (not @t75)) % 0.45/0.67 (define @t77 () (or @t76 @t64 @t60)) % 0.45/0.67 (define @t78 () (@list false)) % 0.45/0.67 (define @t79 () (= @t60 @t63)) % 0.45/0.67 (define @t80 () (_ @t61 @t58)) % 0.45/0.67 (define @t81 () (not @t80)) % 0.45/0.67 (define @t82 () (or @t81 @t63)) % 0.45/0.67 (define @t83 () (forall @t7 (or @t40 @t34))) % 0.45/0.67 (define @t84 () (_ @t61 @t58)) % 0.45/0.67 (define @t85 () (not @t84)) % 0.45/0.67 (define @t86 () (or @t85 @t63)) % 0.45/0.67 (define @t87 () (not @t60)) % 0.45/0.67 (define @t88 () (or @t87 @t63)) % 0.45/0.67 (define @t89 () (forall @t7 (or @t40 @t30))) % 0.45/0.67 (define @t90 () (@quantifiers_skolemize @t75 0)) % 0.45/0.67 (define @t91 () (or (not (_ @t59 @t90)) (tptp.cG @t61 @t90))) % 0.45/0.67 (assume @p1 @t26) % 0.45/0.67 (assume @p2 true) % 0.45/0.67 (step @p3 :rule refl :args (@t27)) % 0.45/0.67 (step @p4 :rule refl :args (@t6)) % 0.45/0.67 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t6 @t27))) % 0.45/0.67 (step @p6 :rule symm :premises (@p5)) % 0.45/0.67 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.45/0.67 (step @p8 :rule refl :args (@t28)) % 0.45/0.67 (step @p9 :rule refl :args (@t4)) % 0.45/0.67 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t4 @t28))) % 0.45/0.67 (step @p11 :rule symm :premises (@p10)) % 0.45/0.67 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.45/0.67 (step @p13 :rule cong :premises (@p12 @p7) :args (@t29)) % 0.45/0.67 (step @p14 :rule cong :premises (@p13) :args ((forall @t7 @t29))) % 0.45/0.67 (step @p15 :rule eq-symm :args (@t6 @t4)) % 0.45/0.67 (step @p16 :rule cong :premises (@p15) :args (@t8)) % 0.45/0.67 (step @p17 :rule trans :premises (@p16 @p14)) % 0.45/0.67 (step @p18 :rule refl :args (@t30)) % 0.45/0.67 (step @p19 :rule refl :args (@t9)) % 0.45/0.67 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t9 @t30))) % 0.45/0.67 (step @p21 :rule symm :premises (@p20)) % 0.45/0.67 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.45/0.67 (step @p23 :rule refl :args (@t31)) % 0.45/0.67 (step @p24 :rule refl :args (@t10)) % 0.45/0.67 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t10 @t31))) % 0.45/0.67 (step @p26 :rule symm :premises (@p25)) % 0.45/0.67 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.45/0.67 (step @p28 :rule cong :premises (@p27) :args (@t32)) % 0.45/0.67 (step @p29 :rule nary_cong :premises (@p28 @p22) :args (@t33)) % 0.45/0.67 (step @p30 :rule cong :premises (@p29) :args ((forall @t7 @t33))) % 0.45/0.67 (step @p31 :rule bool-impl-elim :args (@t10 @t9)) % 0.45/0.67 (step @p32 :rule cong :premises (@p31) :args (@t11)) % 0.45/0.67 (step @p33 :rule trans :premises (@p32 @p30)) % 0.45/0.67 (step @p34 :rule refl :args (@t34)) % 0.45/0.67 (step @p35 :rule refl :args (@t13)) % 0.45/0.67 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t13 @t34))) % 0.45/0.67 (step @p37 :rule symm :premises (@p36)) % 0.45/0.67 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.45/0.67 (step @p39 :rule nary_cong :premises (@p28 @p38) :args (@t35)) % 0.45/0.67 (step @p40 :rule cong :premises (@p39) :args ((forall @t7 @t35))) % 0.45/0.67 (step @p41 :rule bool-impl-elim :args (@t10 @t13)) % 0.45/0.67 (step @p42 :rule cong :premises (@p41) :args (@t14)) % 0.45/0.67 (step @p43 :rule trans :premises (@p42 @p40)) % 0.45/0.67 (step @p44 :rule aci_norm :args ((= @t45 @t43))) % 0.45/0.67 (step @p45 :rule cong :premises (@p44) :args (@t47)) % 0.45/0.67 (step @p46 :rule quant-merge-prenex :args ((= (forall @t22 @t49) @t47))) % 0.45/0.67 (step @p47 :rule alpha_equiv :args (@t50 (@list @t36) (@list @t1))) % 0.45/0.67 (step @p48 :rule refl :args (@t42)) % 0.45/0.67 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t51)) % 0.45/0.67 (step @p50 :rule quant-miniscope-or :args ((= @t49 @t51))) % 0.45/0.67 (step @p51 :rule trans :premises (@p50 @p49)) % 0.45/0.67 (step @p52 :rule symm :premises (@p51)) % 0.45/0.67 (step @p53 :rule cong :premises (@p52) :args ((forall @t22 (or @t42 @t53)))) % 0.45/0.67 (step @p54 :rule trans :premises (@p53 @p46)) % 0.45/0.67 (step @p55 :rule trans :premises (@p54 @p45)) % 0.45/0.67 (step @p56 :rule bool-impl-elim :args (@t41 @t53)) % 0.45/0.67 (step @p57 :rule cong :premises (@p56) :args ((forall @t22 (=> @t41 @t53)))) % 0.45/0.67 (step @p58 :rule trans :premises (@p57 @p55)) % 0.45/0.67 (step @p59 :rule refl :args (@t52)) % 0.45/0.67 (step @p60 :rule refl :args (@t16)) % 0.45/0.67 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t16 @t52))) % 0.45/0.67 (step @p62 :rule symm :premises (@p61)) % 0.45/0.67 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.45/0.67 (step @p64 :rule cong :premises (@p63) :args (@t54)) % 0.45/0.67 (step @p65 :rule nary_cong :premises (@p64 @p12) :args (@t55)) % 0.45/0.67 (step @p66 :rule cong :premises (@p65) :args ((forall @t17 @t55))) % 0.45/0.67 (step @p67 :rule bool-impl-elim :args (@t16 @t4)) % 0.45/0.67 (step @p68 :rule cong :premises (@p67) :args (@t18)) % 0.45/0.67 (step @p69 :rule trans :premises (@p68 @p66)) % 0.45/0.67 (step @p70 :rule refl :args (@t39)) % 0.45/0.67 (step @p71 :rule refl :args (@t19)) % 0.45/0.67 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t19 @t39))) % 0.45/0.67 (step @p73 :rule symm :premises (@p72)) % 0.45/0.67 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.45/0.67 (step @p75 :rule nary_cong :premises (@p28 @p74) :args (@t56)) % 0.45/0.67 (step @p76 :rule cong :premises (@p75) :args ((forall @t17 @t56))) % 0.45/0.67 (step @p77 :rule bool-impl-elim :args (@t10 @t19)) % 0.45/0.67 (step @p78 :rule cong :premises (@p77) :args (@t20)) % 0.45/0.67 (step @p79 :rule trans :premises (@p78 @p76)) % 0.45/0.67 (step @p80 :rule cong :premises (@p79 @p69) :args (@t21)) % 0.45/0.67 (step @p81 :rule cong :premises (@p80) :args (@t23)) % 0.45/0.67 (step @p82 :rule trans :premises (@p81 @p58)) % 0.45/0.67 (step @p83 :rule nary_cong :premises (@p82 @p43 @p33) :args (@t24)) % 0.45/0.67 (step @p84 :rule cong :premises (@p83 @p17) :args (@t25)) % 0.45/0.67 (step @p85 :rule cong :premises (@p84) :args (@t26)) % 0.45/0.67 (step @p86 :rule eq_resolve :premises (@p1 @p85)) % 0.45/0.67 (step @p87 :rule not_implies_elim1 :premises (@p86)) % 0.45/0.67 (step @p88 :rule and_elim :premises (@p87) :args (2)) % 0.45/0.67 (step @p89 :rule and_elim :premises (@p87) :args (0)) % 0.45/0.67 (step @p90 :rule refl :args (@t60)) % 0.45/0.67 (step @p91 :rule refl :args (@t64)) % 0.45/0.67 (step @p92 :rule refl :args (@t65)) % 0.45/0.67 (step @p93 :rule refl :args (@t66)) % 0.45/0.68 (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t66 @t65))) % 0.45/0.68 (step @p95 :rule symm :premises (@p94)) % 0.45/0.68 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 0.45/0.68 (step @p97 :rule refl :args (@t67)) % 0.45/0.68 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t68)) % 0.45/0.68 (step @p99 :rule cong :premises (@p98) :args ((forall @t17 @t68))) % 0.45/0.68 (step @p100 :rule refl :args (@t69)) % 0.45/0.68 (step @p101 :rule refl :args (@t67)) % 0.45/0.68 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t70)) % 0.45/0.68 (step @p103 :rule cong :premises (@p102) :args (@t71)) % 0.45/0.68 (step @p104 :rule trans :premises (@p103 @p99)) % 0.45/0.68 (step @p105 :rule cong :premises (@p104) :args (@t72)) % 0.45/0.68 (step @p106 :rule nary_cong :premises (@p105 @p91 @p90) :args (@t73)) % 0.45/0.68 (step @p107 :rule refl :args (@t74)) % 0.45/0.68 (step @p108 :rule cong :premises (@p107 @p106) :args ((=> @t74 @t73))) % 0.45/0.68 (assume-push @p158 @t74) % 0.45/0.68 (step @p110 :rule instantiate :premises (@p89) :args ((@list @t59 @t62 @t58))) % 0.45/0.68 (step-pop @p159 :rule scope :premises (@p110)) % 0.45/0.68 (step @p111 :rule process_scope :premises (@p159) :args (@t73)) % 0.45/0.68 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 0.45/0.68 (step @p114 :rule implies_elim :premises (@p113)) % 0.45/0.68 (step @p115 :rule chain_m_resolution :premises (@p114 @p89) :args (@t77 @t78 (@list @t74))) % 0.45/0.68 (step @p116 :rule not_implies_elim2 :premises (@p86)) % 0.45/0.68 (step @p117 :rule skolemize :premises (@p116)) % 0.45/0.68 (step @p118 :rule cnf_equiv_neg2 :args (@t79)) % 0.45/0.68 (step @p119 :rule and_elim :premises (@p87) :args (1)) % 0.45/0.68 (step @p120 :rule refl :args (@t63)) % 0.45/0.68 (step @p121 :rule refl :args (@t60)) % 0.45/0.68 (step @p122 :rule refl :args (@t80)) % 0.45/0.68 (step @p123 :rule cong :premises (@p122 @p121) :args ((= @t80 @t60))) % 0.45/0.68 (step @p124 :rule symm :premises (@p123)) % 0.45/0.68 (step @p125 :rule eq_resolve :premises (@p122 @p124)) % 0.45/0.68 (step @p126 :rule cong :premises (@p125) :args (@t81)) % 0.45/0.68 (step @p127 :rule nary_cong :premises (@p126 @p120) :args (@t82)) % 0.45/0.68 (step @p128 :rule refl :args (@t83)) % 0.45/0.68 (step @p129 :rule cong :premises (@p128 @p127) :args ((=> @t83 @t82))) % 0.45/0.68 (step @p130 :rule refl :args (@t84)) % 0.45/0.68 (step @p131 :rule cong :premises (@p130) :args (@t85)) % 0.45/0.68 (step @p132 :rule nary_cong :premises (@p131 @p120) :args (@t86)) % 0.45/0.68 (step @p133 :rule cong :premises (@p128 @p132) :args ((=> @t83 @t86))) % 0.45/0.68 (assume-push @p160 @t83) % 0.45/0.68 (step @p135 :rule instantiate :premises (@p119) :args ((@list @t61 @t58))) % 0.45/0.68 (step-pop @p161 :rule scope :premises (@p135)) % 0.45/0.68 (step @p136 :rule process_scope :premises (@p161) :args (@t86)) % 0.45/0.68 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 0.45/0.68 (step @p139 :rule eq_resolve :premises (@p138 @p129)) % 0.45/0.68 (step @p140 :rule implies_elim :premises (@p139)) % 0.45/0.68 (step @p141 :rule chain_m_resolution :premises (@p140 @p119) :args (@t88 @t78 (@list @t83))) % 0.45/0.68 (step @p142 :rule cnf_or_pos :args (@t88)) % 0.45/0.68 (step @p143 :rule reordering :premises (@p142) :args ((or @t63 @t87 (not @t88)))) % 0.45/0.68 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p118 @p117) :args (@t87 (@list false true true) (@list @t88 @t63 @t79))) % 0.45/0.68 (step @p145 :rule cnf_equiv_neg1 :args (@t79)) % 0.45/0.68 (step @p146 :rule reordering :premises (@p145) :args ((or @t60 @t63 @t79))) % 0.45/0.68 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p117) :args (@t63 (@list true true) (@list @t60 @t79))) % 0.45/0.68 (step @p148 :rule cnf_or_pos :args (@t77)) % 0.45/0.68 (step @p149 :rule reordering :premises (@p148) :args ((or @t60 @t64 @t76 (not @t77)))) % 0.45/0.68 (step @p150 :rule chain_m_resolution :premises (@p149 @p144 @p147 @p115) :args (@t76 (@list true false false) (@list @t60 @t63 @t77))) % 0.45/0.68 (step @p151 :rule skolemize :premises (@p150)) % 0.45/0.68 (assume-push @p162 @t89) % 0.45/0.68 (step @p153 :rule instantiate :premises (@p88) :args ((@list @t59 @t90))) % 0.45/0.68 (step-pop @p163 :rule scope :premises (@p153)) % 0.45/0.68 (step @p154 :rule process_scope :premises (@p163) :args (@t91)) % 0.45/0.68 (step @p156 :rule implies_elim :premises (@p154)) % 0.45/0.68 (step @p157 false :rule chain_m_resolution :premises (@p156 @p151 @p88) :args (false (@list true false) (@list @t91 @t89))) % 0.45/0.68 ) % 0.45/0.68 % SZS output end Proof % 0.45/0.68 % cvc5 exiting %------------------------------------------------------------------------------