%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU893^5 : 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 : n018.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 08:53:29 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU893^5 : 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 % 0.18/0.35 % Computer : n018.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:57:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.37/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort tptp.b 0) % 0.37/0.58 (declare-sort tptp.a 0) % 0.37/0.58 (declare-const tptp.cR (-> tptp.b Bool)) % 0.37/0.58 (declare-const tptp.cS (-> tptp.b Bool)) % 0.37/0.58 (declare-const tptp.cF (-> tptp.b tptp.a)) % 0.37/0.58 (define @t1 () (@var "Xt" tptp.b)) % 0.37/0.58 (define @t2 () (_ tptp.cF @t1)) % 0.37/0.58 (define @t3 () (@var "Xx" tptp.a)) % 0.37/0.58 (define @t4 () (= @t3 @t2)) % 0.37/0.58 (define @t5 () (_ tptp.cS @t1)) % 0.37/0.58 (define @t6 () (and @t5 @t4)) % 0.37/0.58 (define @t7 () (@list @t1)) % 0.37/0.58 (define @t8 () (exists @t7 @t6)) % 0.37/0.58 (define @t9 () (_ tptp.cR @t1)) % 0.37/0.58 (define @t10 () (and @t9 @t4)) % 0.37/0.58 (define @t11 () (exists @t7 @t10)) % 0.37/0.58 (define @t12 () (or @t11 @t8)) % 0.37/0.58 (define @t13 () (or @t9 @t5)) % 0.37/0.58 (define @t14 () (and @t13 @t4)) % 0.37/0.58 (define @t15 () (exists @t7 @t14)) % 0.37/0.58 (define @t16 () (=> @t15 @t12)) % 0.37/0.58 (define @t17 () (@list @t3)) % 0.37/0.58 (define @t18 () (forall @t17 @t16)) % 0.37/0.58 (define @t19 () (not @t18)) % 0.37/0.58 (define @t20 () (@var "BOUND_VARIABLE_7474" tptp.b)) % 0.37/0.58 (define @t21 () (and (not (tptp.cR @t20)) (not (tptp.cS @t20)))) % 0.37/0.58 (define @t22 () (tptp.cF @t20)) % 0.37/0.58 (define @t23 () (tptp.cF @t1)) % 0.37/0.58 (define @t24 () (not (= @t23 @t22))) % 0.37/0.58 (define @t25 () (tptp.cS @t1)) % 0.37/0.58 (define @t26 () (not @t25)) % 0.37/0.58 (define @t27 () (not (forall @t7 (or @t26 @t24)))) % 0.37/0.58 (define @t28 () (tptp.cR @t1)) % 0.37/0.58 (define @t29 () (not @t28)) % 0.37/0.58 (define @t30 () (not (forall @t7 (or @t29 @t24)))) % 0.37/0.58 (define @t31 () (or @t30 @t27 @t21)) % 0.37/0.58 (define @t32 () (not (= @t22 @t22))) % 0.37/0.58 (define @t33 () (not (= @t22 @t23))) % 0.37/0.58 (define @t34 () (or @t26 @t33)) % 0.37/0.58 (define @t35 () (forall @t7 @t34)) % 0.37/0.58 (define @t36 () (not @t35)) % 0.37/0.58 (define @t37 () (or @t29 @t33)) % 0.37/0.58 (define @t38 () (forall @t7 @t37)) % 0.37/0.58 (define @t39 () (not @t38)) % 0.37/0.58 (define @t40 () (or @t39 @t36 @t21 @t32)) % 0.37/0.58 (define @t41 () (@list @t20)) % 0.37/0.58 (define @t42 () (not (= @t3 @t22))) % 0.37/0.58 (define @t43 () (not (= @t3 @t23))) % 0.37/0.58 (define @t44 () (not (forall @t7 (or @t26 @t43)))) % 0.37/0.58 (define @t45 () (not (forall @t7 (or @t29 @t43)))) % 0.37/0.58 (define @t46 () (or @t42 @t45 @t44 @t21 @t42)) % 0.37/0.58 (define @t47 () (or @t45 @t44 @t21 @t42)) % 0.37/0.58 (define @t48 () (forall @t17 @t47)) % 0.37/0.58 (define @t49 () (forall @t41 @t48)) % 0.37/0.58 (define @t50 () (forall (@list @t20 @t3) @t47)) % 0.37/0.58 (define @t51 () (@list @t3 @t20)) % 0.37/0.58 (define @t52 () (or @t21 @t42)) % 0.37/0.58 (define @t53 () (or @t52 @t45 @t44)) % 0.37/0.58 (define @t54 () (forall @t51 @t53)) % 0.37/0.58 (define @t55 () (forall @t41 @t53)) % 0.37/0.58 (define @t56 () (forall @t41 @t52)) % 0.37/0.58 (define @t57 () (or @t56 @t45 @t44)) % 0.37/0.58 (define @t58 () (forall @t7 (or (and @t29 @t26) @t43))) % 0.37/0.58 (define @t59 () (or @t58 @t45 @t44)) % 0.37/0.58 (define @t60 () (or @t45 @t44)) % 0.37/0.58 (define @t61 () (not @t58)) % 0.37/0.58 (define @t62 () (not @t4)) % 0.37/0.58 (define @t63 () (not @t5)) % 0.37/0.58 (define @t64 () (or @t63 @t62)) % 0.37/0.58 (define @t65 () (forall @t7 (not @t6))) % 0.37/0.58 (define @t66 () (not @t65)) % 0.37/0.58 (define @t67 () (not @t9)) % 0.37/0.58 (define @t68 () (or @t67 @t62)) % 0.37/0.58 (define @t69 () (forall @t7 (not @t10))) % 0.37/0.58 (define @t70 () (not @t69)) % 0.37/0.58 (define @t71 () (and @t67 @t63)) % 0.37/0.58 (define @t72 () (or @t71 @t62)) % 0.37/0.58 (define @t73 () (forall @t7 (not @t14))) % 0.37/0.58 (define @t74 () (not @t73)) % 0.37/0.58 (define @t75 () (@quantifiers_skolemize (forall @t41 @t31) 0)) % 0.37/0.58 (define @t76 () (tptp.cF @t75)) % 0.37/0.58 (define @t77 () (not (= @t23 @t76))) % 0.37/0.58 (define @t78 () (forall @t7 (or @t26 @t77))) % 0.37/0.58 (define @t79 () (tptp.cS @t75)) % 0.37/0.58 (define @t80 () (not @t79)) % 0.37/0.58 (define @t81 () (tptp.cR @t75)) % 0.37/0.58 (define @t82 () (not @t81)) % 0.37/0.58 (define @t83 () (and @t82 @t80)) % 0.37/0.58 (define @t84 () (not @t78)) % 0.37/0.58 (define @t85 () (forall @t7 (or @t29 @t77))) % 0.37/0.58 (define @t86 () (not @t85)) % 0.37/0.58 (define @t87 () (or @t86 @t84 @t83)) % 0.37/0.58 (define @t88 () (@list true)) % 0.37/0.58 (define @t89 () (@list @t87)) % 0.37/0.58 (define @t90 () (not (= @t76 @t76))) % 0.37/0.58 (define @t91 () (or @t82 @t90)) % 0.37/0.58 (define @t92 () (@list @t75)) % 0.37/0.58 (define @t93 () (or @t80 @t90)) % 0.37/0.58 (assume @p1 @t19) % 0.37/0.58 (assume @p2 true) % 0.37/0.58 (step @p3 :rule aci_norm :args ((= (or @t30 @t27 @t21 false) @t31))) % 0.37/0.58 (step @p4 :rule evaluate :args ((not true))) % 0.37/0.58 (step @p5 :rule eq-refl :args (@t22)) % 0.37/0.58 (step @p6 :rule cong :premises (@p5) :args (@t32)) % 0.37/0.58 (step @p7 :rule trans :premises (@p6 @p4)) % 0.37/0.58 (step @p8 :rule refl :args (@t21)) % 0.37/0.58 (step @p9 :rule eq-symm :args (@t22 @t23)) % 0.37/0.58 (step @p10 :rule cong :premises (@p9) :args (@t33)) % 0.37/0.58 (step @p11 :rule refl :args (@t26)) % 0.37/0.58 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t34)) % 0.37/0.58 (step @p13 :rule cong :premises (@p12) :args (@t35)) % 0.37/0.58 (step @p14 :rule cong :premises (@p13) :args (@t36)) % 0.37/0.58 (step @p15 :rule refl :args (@t29)) % 0.37/0.58 (step @p16 :rule nary_cong :premises (@p15 @p10) :args (@t37)) % 0.37/0.58 (step @p17 :rule cong :premises (@p16) :args (@t38)) % 0.37/0.58 (step @p18 :rule cong :premises (@p17) :args (@t39)) % 0.37/0.58 (step @p19 :rule nary_cong :premises (@p18 @p14 @p8 @p7) :args (@t40)) % 0.37/0.58 (step @p20 :rule trans :premises (@p19 @p3)) % 0.37/0.58 (step @p21 :rule cong :premises (@p20) :args ((forall @t41 @t40))) % 0.37/0.58 (step @p22 :rule quant-var-elim-eq :args ((= (forall @t17 @t46) @t40))) % 0.37/0.58 (step @p23 :rule aci_norm :args ((= @t47 @t46))) % 0.37/0.58 (step @p24 :rule cong :premises (@p23) :args (@t48)) % 0.37/0.58 (step @p25 :rule trans :premises (@p24 @p22)) % 0.37/0.58 (step @p26 :rule cong :premises (@p25) :args (@t49)) % 0.37/0.58 (step @p27 :rule quant-merge-prenex :args ((= @t49 @t50))) % 0.37/0.58 (step @p28 :rule symm :premises (@p27)) % 0.37/0.58 (step @p29 :rule quant_var_reordering :args ((= (forall @t51 @t47) @t50))) % 0.37/0.58 (step @p30 :rule trans :premises (@p29 @p28 @p26)) % 0.37/0.58 (step @p31 :rule trans :premises (@p30 @p21)) % 0.37/0.58 (step @p32 :rule aci_norm :args ((= @t53 @t47))) % 0.37/0.58 (step @p33 :rule cong :premises (@p32) :args (@t54)) % 0.37/0.58 (step @p34 :rule trans :premises (@p33 @p31)) % 0.37/0.58 (step @p35 :rule quant-merge-prenex :args ((= (forall @t17 @t55) @t54))) % 0.37/0.58 (step @p36 :rule refl :args (@t44)) % 0.37/0.58 (step @p37 :rule refl :args (@t45)) % 0.37/0.58 (step @p38 :rule alpha_equiv :args (@t56 (@list @t20) (@list @t1))) % 0.37/0.58 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36) :args (@t57)) % 0.37/0.58 (step @p40 :rule quant-miniscope-or :args ((= @t55 @t57))) % 0.37/0.58 (step @p41 :rule trans :premises (@p40 @p39)) % 0.37/0.58 (step @p42 :rule symm :premises (@p41)) % 0.37/0.58 (step @p43 :rule cong :premises (@p42) :args ((forall @t17 @t59))) % 0.37/0.58 (step @p44 :rule trans :premises (@p43 @p35)) % 0.37/0.58 (step @p45 :rule trans :premises (@p44 @p34)) % 0.37/0.58 (step @p46 :rule aci_norm :args ((= (or @t58 @t60) @t59))) % 0.37/0.58 (step @p47 :rule refl :args (@t60)) % 0.37/0.58 (step @p48 :rule bool-double-not-elim :args (@t58)) % 0.37/0.58 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or (not @t61) @t60))) % 0.37/0.58 (step @p50 :rule bool-impl-elim :args (@t61 @t60)) % 0.37/0.58 (step @p51 :rule trans :premises (@p50 @p49)) % 0.37/0.58 (step @p52 :rule trans :premises (@p51 @p46)) % 0.37/0.58 (step @p53 :rule cong :premises (@p52) :args ((forall @t17 (=> @t61 @t60)))) % 0.37/0.58 (step @p54 :rule trans :premises (@p53 @p45)) % 0.37/0.58 (step @p55 :rule refl :args (@t23)) % 0.37/0.58 (step @p56 :rule refl :args (@t2)) % 0.37/0.58 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t2 @t23))) % 0.37/0.58 (step @p58 :rule symm :premises (@p57)) % 0.37/0.58 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.37/0.58 (step @p60 :rule refl :args (@t3)) % 0.37/0.58 (step @p61 :rule cong :premises (@p60 @p59) :args (@t4)) % 0.37/0.58 (step @p62 :rule cong :premises (@p61) :args (@t62)) % 0.37/0.58 (step @p63 :rule refl :args (@t25)) % 0.37/0.58 (step @p64 :rule refl :args (@t5)) % 0.37/0.58 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t5 @t25))) % 0.37/0.58 (step @p66 :rule symm :premises (@p65)) % 0.37/0.58 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.37/0.58 (step @p68 :rule cong :premises (@p67) :args (@t63)) % 0.37/0.58 (step @p69 :rule nary_cong :premises (@p68 @p62) :args (@t64)) % 0.37/0.58 (step @p70 :rule cong :premises (@p69) :args ((forall @t7 @t64))) % 0.37/0.58 (step @p71 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.37/0.58 (step @p72 :rule cong :premises (@p71) :args (@t65)) % 0.37/0.58 (step @p73 :rule trans :premises (@p72 @p70)) % 0.37/0.58 (step @p74 :rule cong :premises (@p73) :args (@t66)) % 0.37/0.58 (step @p75 :rule exists-elim :args ((= @t8 @t66))) % 0.37/0.58 (step @p76 :rule trans :premises (@p75 @p74)) % 0.37/0.58 (step @p77 :rule refl :args (@t28)) % 0.37/0.58 (step @p78 :rule refl :args (@t9)) % 0.37/0.58 (step @p79 :rule cong :premises (@p78 @p77) :args ((= @t9 @t28))) % 0.37/0.58 (step @p80 :rule symm :premises (@p79)) % 0.37/0.58 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.37/0.58 (step @p82 :rule cong :premises (@p81) :args (@t67)) % 0.37/0.58 (step @p83 :rule nary_cong :premises (@p82 @p62) :args (@t68)) % 0.37/0.58 (step @p84 :rule cong :premises (@p83) :args ((forall @t7 @t68))) % 0.37/0.58 (step @p85 :rule bool-and-de-morgan :args (@t9 @t4 true)) % 0.37/0.58 (step @p86 :rule cong :premises (@p85) :args (@t69)) % 0.37/0.58 (step @p87 :rule trans :premises (@p86 @p84)) % 0.37/0.58 (step @p88 :rule cong :premises (@p87) :args (@t70)) % 0.37/0.58 (step @p89 :rule exists-elim :args ((= @t11 @t70))) % 0.37/0.58 (step @p90 :rule trans :premises (@p89 @p88)) % 0.37/0.58 (step @p91 :rule nary_cong :premises (@p90 @p76) :args (@t12)) % 0.37/0.58 (step @p92 :rule nary_cong :premises (@p82 @p68) :args (@t71)) % 0.37/0.58 (step @p93 :rule nary_cong :premises (@p92 @p62) :args (@t72)) % 0.37/0.58 (step @p94 :rule cong :premises (@p93) :args ((forall @t7 @t72))) % 0.37/0.58 (step @p95 :rule refl :args (@t62)) % 0.37/0.58 (step @p96 :rule bool-or-de-morgan :args (@t9 @t5 false)) % 0.37/0.58 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t13) @t62))) % 0.37/0.58 (step @p98 :rule bool-and-de-morgan :args (@t13 @t4 true)) % 0.37/0.58 (step @p99 :rule trans :premises (@p98 @p97)) % 0.37/0.58 (step @p100 :rule cong :premises (@p99) :args (@t73)) % 0.37/0.58 (step @p101 :rule trans :premises (@p100 @p94)) % 0.37/0.58 (step @p102 :rule cong :premises (@p101) :args (@t74)) % 0.37/0.58 (step @p103 :rule exists-elim :args ((= @t15 @t74))) % 0.37/0.58 (step @p104 :rule trans :premises (@p103 @p102)) % 0.37/0.58 (step @p105 :rule cong :premises (@p104 @p91) :args (@t16)) % 0.37/0.58 (step @p106 :rule cong :premises (@p105) :args (@t18)) % 0.37/0.58 (step @p107 :rule trans :premises (@p106 @p54)) % 0.37/0.58 (step @p108 :rule cong :premises (@p107) :args (@t19)) % 0.37/0.58 (step @p109 :rule eq_resolve :premises (@p1 @p108)) % 0.37/0.58 (step @p110 :rule skolemize :premises (@p109)) % 0.37/0.58 (step @p111 :rule bool-double-not-elim :args (@t78)) % 0.37/0.58 (step @p112 :rule refl :args (@t87)) % 0.37/0.58 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t87 (not @t84)))) % 0.37/0.58 (step @p114 :rule cnf_or_neg :args (@t87 1)) % 0.37/0.58 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.37/0.58 (step @p116 :rule reordering :premises (@p115) :args ((or @t78 @t87))) % 0.37/0.58 (step @p117 :rule chain_m_resolution :premises (@p116 @p110) :args (@t78 @t88 @t89)) % 0.37/0.58 (step @p118 :rule cnf_or_neg :args (@t87 2)) % 0.37/0.58 (step @p119 :rule chain_m_resolution :premises (@p118 @p110) :args ((not @t83) @t88 @t89)) % 0.37/0.58 (step @p120 :rule bool-double-not-elim :args (@t85)) % 0.37/0.58 (step @p121 :rule nary_cong :premises (@p112 @p120) :args ((or @t87 (not @t86)))) % 0.37/0.58 (step @p122 :rule cnf_or_neg :args (@t87 0)) % 0.37/0.58 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.37/0.58 (step @p124 :rule reordering :premises (@p123) :args ((or @t85 @t87))) % 0.37/0.58 (step @p125 :rule chain_m_resolution :premises (@p124 @p110) :args (@t85 @t88 @t89)) % 0.37/0.58 (step @p126 :rule aci_norm :args ((= (or @t82 false) @t82))) % 0.37/0.58 (step @p127 :rule eq-refl :args (@t76)) % 0.37/0.58 (step @p128 :rule cong :premises (@p127) :args (@t90)) % 0.37/0.58 (step @p129 :rule trans :premises (@p128 @p4)) % 0.37/0.58 (step @p130 :rule refl :args (@t82)) % 0.37/0.58 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t91)) % 0.37/0.58 (step @p132 :rule trans :premises (@p131 @p126)) % 0.37/0.58 (step @p133 :rule refl :args (@t85)) % 0.37/0.58 (step @p134 :rule cong :premises (@p133 @p132) :args ((=> @t85 @t91))) % 0.37/0.58 (assume-push @p163 @t85) % 0.37/0.58 (step @p136 :rule instantiate :premises (@p125) :args (@t92)) % 0.37/0.58 (step-pop @p164 :rule scope :premises (@p136)) % 0.37/0.58 (step @p137 :rule process_scope :premises (@p164) :args (@t91)) % 0.37/0.58 (step @p139 :rule eq_resolve :premises (@p137 @p134)) % 0.37/0.58 (step @p140 :rule implies_elim :premises (@p139)) % 0.37/0.58 (step @p141 :rule chain_m_resolution :premises (@p140 @p125) :args (@t82 (@list false) (@list @t85))) % 0.37/0.58 (step @p142 :rule bool-double-not-elim :args (@t79)) % 0.37/0.58 (step @p143 :rule bool-double-not-elim :args (@t81)) % 0.37/0.58 (step @p144 :rule refl :args (@t83)) % 0.37/0.58 (step @p145 :rule nary_cong :premises (@p144 @p143 @p142) :args ((or @t83 (not @t82) (not @t80)))) % 0.37/0.58 (step @p146 :rule cnf_and_neg :args (@t83)) % 0.37/0.58 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 0.37/0.58 (step @p148 :rule reordering :premises (@p147) :args ((or @t81 @t79 @t83))) % 0.37/0.58 (step @p149 :rule chain_m_resolution :premises (@p148 @p141 @p119) :args (@t79 (@list true true) (@list @t81 @t83))) % 0.37/0.58 (step @p150 :rule aci_norm :args ((= (or @t80 false) @t80))) % 0.37/0.58 (step @p151 :rule refl :args (@t80)) % 0.37/0.58 (step @p152 :rule nary_cong :premises (@p151 @p129) :args (@t93)) % 0.37/0.58 (step @p153 :rule trans :premises (@p152 @p150)) % 0.37/0.58 (step @p154 :rule refl :args (@t78)) % 0.37/0.58 (step @p155 :rule cong :premises (@p154 @p153) :args ((=> @t78 @t93))) % 0.37/0.58 (assume-push @p165 @t78) % 0.37/0.58 (step @p157 :rule instantiate :premises (@p117) :args (@t92)) % 0.37/0.58 (step-pop @p166 :rule scope :premises (@p157)) % 0.37/0.58 (step @p158 :rule process_scope :premises (@p166) :args (@t93)) % 0.37/0.58 (step @p160 :rule eq_resolve :premises (@p158 @p155)) % 0.37/0.58 (step @p161 :rule implies_elim :premises (@p160)) % 0.37/0.58 (step @p162 false :rule chain_m_resolution :premises (@p161 @p149 @p117) :args (false (@list false false) (@list @t79 @t78))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------