%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV222^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:55:37 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV222^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 18:20:37 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.38/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort tptp.a 0) % 0.38/0.57 (declare-const tptp.cW (-> (-> tptp.a Bool) Bool)) % 0.38/0.57 (declare-const tptp.cZ (-> tptp.a Bool)) % 0.38/0.57 (define @t1 () (@var "Xx" tptp.a)) % 0.38/0.57 (define @t2 () (@var "S" (-> tptp.a Bool))) % 0.38/0.57 (define @t3 () (_ @t2 @t1)) % 0.38/0.57 (define @t4 () (@var "Xz" tptp.a)) % 0.38/0.57 (define @t5 () (@var "Xt" (-> tptp.a Bool))) % 0.38/0.57 (define @t6 () (_ @t5 @t4)) % 0.38/0.57 (define @t7 () (_ tptp.cZ @t4)) % 0.38/0.57 (define @t8 () (or @t7 @t6)) % 0.38/0.57 (define @t9 () (@list @t4)) % 0.38/0.57 (define @t10 () (lambda @t9 @t8)) % 0.38/0.57 (define @t11 () (= @t2 @t10)) % 0.38/0.57 (define @t12 () (_ tptp.cW @t5)) % 0.38/0.57 (define @t13 () (and @t12 @t11)) % 0.38/0.57 (define @t14 () (@list @t5)) % 0.38/0.57 (define @t15 () (exists @t14 @t13)) % 0.38/0.57 (define @t16 () (=> @t15 @t3)) % 0.38/0.57 (define @t17 () (@list @t2)) % 0.38/0.57 (define @t18 () (forall @t17 @t16)) % 0.38/0.57 (define @t19 () (_ tptp.cZ @t1)) % 0.38/0.57 (define @t20 () (_ tptp.cW @t2)) % 0.38/0.57 (define @t21 () (forall @t17 (=> @t20 @t3))) % 0.38/0.57 (define @t22 () (or @t21 @t19)) % 0.38/0.57 (define @t23 () (= @t22 @t18)) % 0.38/0.57 (define @t24 () (@list @t1)) % 0.38/0.57 (define @t25 () (forall @t24 @t23)) % 0.38/0.57 (define @t26 () (not @t25)) % 0.38/0.57 (define @t27 () (tptp.cZ @t1)) % 0.38/0.57 (define @t28 () (_ @t2 @t1)) % 0.38/0.57 (define @t29 () (tptp.cW @t2)) % 0.38/0.57 (define @t30 () (not @t29)) % 0.38/0.57 (define @t31 () (forall @t17 (or @t30 @t28))) % 0.38/0.57 (define @t32 () (or @t31 @t27)) % 0.38/0.57 (define @t33 () (@var "BOUND_VARIABLE_7471" (-> tptp.a Bool))) % 0.38/0.57 (define @t34 () (_ @t33 @t1)) % 0.38/0.57 (define @t35 () (not (tptp.cW @t33))) % 0.38/0.57 (define @t36 () (or @t35 @t34)) % 0.38/0.57 (define @t37 () (@list @t33)) % 0.38/0.57 (define @t38 () (or @t27 (forall @t37 @t36))) % 0.38/0.57 (define @t39 () (or @t31 @t19)) % 0.38/0.57 (define @t40 () (= @t39 @t38)) % 0.38/0.57 (define @t41 () (or @t27 @t36)) % 0.38/0.57 (define @t42 () (or @t35 @t27 @t34)) % 0.38/0.57 (define @t43 () (or @t27 @t34)) % 0.38/0.57 (define @t44 () (tptp.cZ @t4)) % 0.38/0.57 (define @t45 () (lambda @t9 (or @t44 (_ @t33 @t4)))) % 0.38/0.57 (define @t46 () (not (= @t45 @t45))) % 0.38/0.57 (define @t47 () (_ @t45 @t1)) % 0.38/0.57 (define @t48 () (or @t47 @t35 @t46)) % 0.38/0.57 (define @t49 () (not (= @t2 @t45))) % 0.38/0.57 (define @t50 () (or @t49 @t28 @t35 @t49)) % 0.38/0.57 (define @t51 () (or @t28 @t35 @t49)) % 0.38/0.57 (define @t52 () (forall @t17 @t51)) % 0.38/0.57 (define @t53 () (forall @t37 @t52)) % 0.38/0.57 (define @t54 () (forall (@list @t33 @t2) @t51)) % 0.38/0.57 (define @t55 () (@list @t2 @t33)) % 0.38/0.57 (define @t56 () (or @t35 @t49)) % 0.38/0.57 (define @t57 () (or @t56 @t28)) % 0.38/0.57 (define @t58 () (forall @t55 @t57)) % 0.38/0.57 (define @t59 () (forall @t37 @t57)) % 0.38/0.57 (define @t60 () (forall @t37 @t56)) % 0.38/0.57 (define @t61 () (or @t60 @t28)) % 0.38/0.57 (define @t62 () (_ @t5 @t4)) % 0.38/0.57 (define @t63 () (tptp.cW @t5)) % 0.38/0.57 (define @t64 () (forall @t14 (or (not @t63) (not (= @t2 (lambda @t9 (or @t44 @t62))))))) % 0.38/0.57 (define @t65 () (or @t64 @t3)) % 0.38/0.57 (define @t66 () (not @t64)) % 0.38/0.57 (define @t67 () (not @t11)) % 0.38/0.57 (define @t68 () (not @t12)) % 0.38/0.57 (define @t69 () (or @t68 @t67)) % 0.38/0.57 (define @t70 () (forall @t14 (not @t13))) % 0.38/0.57 (define @t71 () (not @t70)) % 0.38/0.57 (define @t72 () (not @t20)) % 0.38/0.57 (define @t73 () (or @t72 @t3)) % 0.38/0.57 (define @t74 () (@quantifiers_skolemize (forall @t24 (= @t38 @t32)) 0)) % 0.38/0.57 (define @t75 () (forall @t37 (or @t35 (_ @t33 @t74)))) % 0.38/0.57 (define @t76 () (tptp.cZ @t74)) % 0.38/0.57 (define @t77 () (or @t76 @t75)) % 0.38/0.57 (define @t78 () (forall @t17 (or @t30 (_ @t2 @t74)))) % 0.38/0.57 (define @t79 () (@quantifiers_skolemize @t78 0)) % 0.38/0.57 (define @t80 () (or (not (tptp.cW @t79)) (_ @t79 @t74))) % 0.38/0.57 (define @t81 () (or @t78 @t76)) % 0.38/0.57 (define @t82 () (= @t77 @t81)) % 0.38/0.57 (define @t83 () (not @t80)) % 0.38/0.57 (define @t84 () (not @t78)) % 0.38/0.57 (define @t85 () (not @t75)) % 0.38/0.57 (define @t86 () (not @t77)) % 0.38/0.57 (define @t87 () (@list true true)) % 0.38/0.57 (define @t88 () (@list true false)) % 0.38/0.57 (define @t89 () (@quantifiers_skolemize @t75 0)) % 0.38/0.57 (define @t90 () (or (not (tptp.cW @t89)) (_ @t89 @t74))) % 0.38/0.57 (define @t91 () (not @t90)) % 0.38/0.57 (assume @p1 @t26) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 :rule eq-symm :args (@t32 @t38)) % 0.38/0.57 (step @p4 :rule cong :premises (@p3) :args ((forall @t24 (= @t32 @t38)))) % 0.38/0.57 (step @p5 :rule refl :args (@t38)) % 0.38/0.57 (step @p6 :rule refl :args (@t27)) % 0.38/0.57 (step @p7 :rule refl :args (@t19)) % 0.38/0.57 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t19 @t27))) % 0.38/0.57 (step @p9 :rule symm :premises (@p8)) % 0.38/0.57 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.38/0.57 (step @p11 :rule refl :args (@t31)) % 0.38/0.57 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t39)) % 0.38/0.57 (step @p13 :rule cong :premises (@p12 @p5) :args (@t40)) % 0.38/0.57 (step @p14 :rule cong :premises (@p13) :args ((forall @t24 @t40))) % 0.38/0.57 (step @p15 :rule trans :premises (@p14 @p4)) % 0.38/0.57 (step @p16 :rule quant-miniscope-or :args ((= (forall @t37 @t41) @t38))) % 0.38/0.57 (step @p17 :rule aci_norm :args ((= @t42 @t41))) % 0.38/0.57 (step @p18 :rule cong :premises (@p17) :args ((forall @t37 @t42))) % 0.38/0.57 (step @p19 :rule trans :premises (@p18 @p16)) % 0.38/0.57 (step @p20 :rule aci_norm :args ((= (or @t43 @t35 false) @t42))) % 0.38/0.57 (step @p21 :rule evaluate :args ((not true))) % 0.38/0.57 (step @p22 :rule eq-refl :args (@t45)) % 0.38/0.57 (step @p23 :rule cong :premises (@p22) :args (@t46)) % 0.38/0.57 (step @p24 :rule trans :premises (@p23 @p21)) % 0.38/0.57 (step @p25 :rule refl :args (@t35)) % 0.38/0.57 (step @p26 :rule beta-reduce :args ((= @t47 @t43))) % 0.38/0.57 (step @p27 :rule nary_cong :premises (@p26 @p25 @p24) :args (@t48)) % 0.38/0.57 (step @p28 :rule trans :premises (@p27 @p20)) % 0.38/0.57 (step @p29 :rule cong :premises (@p28) :args ((forall @t37 @t48))) % 0.38/0.57 (step @p30 :rule trans :premises (@p29 @p19)) % 0.38/0.57 (step @p31 :rule quant-var-elim-eq :args ((= (forall @t17 @t50) @t48))) % 0.38/0.57 (step @p32 :rule aci_norm :args ((= @t51 @t50))) % 0.38/0.57 (step @p33 :rule cong :premises (@p32) :args (@t52)) % 0.38/0.57 (step @p34 :rule trans :premises (@p33 @p31)) % 0.38/0.57 (step @p35 :rule cong :premises (@p34) :args (@t53)) % 0.38/0.57 (step @p36 :rule quant-merge-prenex :args ((= @t53 @t54))) % 0.38/0.57 (step @p37 :rule symm :premises (@p36)) % 0.38/0.57 (step @p38 :rule quant_var_reordering :args ((= (forall @t55 @t51) @t54))) % 0.38/0.57 (step @p39 :rule trans :premises (@p38 @p37 @p35)) % 0.38/0.57 (step @p40 :rule trans :premises (@p39 @p30)) % 0.38/0.57 (step @p41 :rule aci_norm :args ((= @t57 @t51))) % 0.38/0.57 (step @p42 :rule cong :premises (@p41) :args (@t58)) % 0.38/0.57 (step @p43 :rule trans :premises (@p42 @p40)) % 0.38/0.57 (step @p44 :rule quant-merge-prenex :args ((= (forall @t17 @t59) @t58))) % 0.38/0.57 (step @p45 :rule refl :args (@t28)) % 0.38/0.57 (step @p46 :rule alpha_equiv :args (@t60 (@list @t33) (@list @t5))) % 0.38/0.57 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t61)) % 0.38/0.57 (step @p48 :rule quant-miniscope-or :args ((= @t59 @t61))) % 0.38/0.57 (step @p49 :rule trans :premises (@p48 @p47)) % 0.38/0.57 (step @p50 :rule symm :premises (@p49)) % 0.38/0.57 (step @p51 :rule cong :premises (@p50) :args ((forall @t17 (or @t64 @t28)))) % 0.38/0.57 (step @p52 :rule trans :premises (@p51 @p44)) % 0.38/0.57 (step @p53 :rule trans :premises (@p52 @p43)) % 0.38/0.57 (step @p54 :rule refl :args (@t28)) % 0.38/0.57 (step @p55 :rule refl :args (@t3)) % 0.38/0.57 (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t3 @t28))) % 0.38/0.57 (step @p57 :rule symm :premises (@p56)) % 0.38/0.57 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.38/0.57 (step @p59 :rule refl :args (@t64)) % 0.38/0.57 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t65)) % 0.38/0.57 (step @p61 :rule cong :premises (@p60) :args ((forall @t17 @t65))) % 0.38/0.57 (step @p62 :rule trans :premises (@p61 @p53)) % 0.38/0.57 (step @p63 :rule bool-double-not-elim :args (@t64)) % 0.38/0.57 (step @p64 :rule nary_cong :premises (@p63 @p55) :args ((or (not @t66) @t3))) % 0.38/0.57 (step @p65 :rule bool-impl-elim :args (@t66 @t3)) % 0.38/0.57 (step @p66 :rule trans :premises (@p65 @p64)) % 0.38/0.57 (step @p67 :rule cong :premises (@p66) :args ((forall @t17 (=> @t66 @t3)))) % 0.38/0.57 (step @p68 :rule trans :premises (@p67 @p62)) % 0.38/0.57 (step @p69 :rule refl :args (@t3)) % 0.38/0.57 (step @p70 :rule refl :args (@t62)) % 0.38/0.57 (step @p71 :rule refl :args (@t6)) % 0.38/0.57 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t6 @t62))) % 0.38/0.57 (step @p73 :rule symm :premises (@p72)) % 0.38/0.57 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.38/0.57 (step @p75 :rule refl :args (@t44)) % 0.38/0.57 (step @p76 :rule refl :args (@t7)) % 0.38/0.57 (step @p77 :rule cong :premises (@p76 @p75) :args ((= @t7 @t44))) % 0.38/0.57 (step @p78 :rule symm :premises (@p77)) % 0.38/0.57 (step @p79 :rule eq_resolve :premises (@p76 @p78)) % 0.38/0.57 (step @p80 :rule nary_cong :premises (@p79 @p74) :args (@t8)) % 0.38/0.57 (step @p81 :rule cong :premises (@p80) :args (@t10)) % 0.38/0.57 (step @p82 :rule refl :args (@t2)) % 0.38/0.57 (step @p83 :rule cong :premises (@p82 @p81) :args (@t11)) % 0.38/0.57 (step @p84 :rule cong :premises (@p83) :args (@t67)) % 0.38/0.57 (step @p85 :rule refl :args (@t63)) % 0.38/0.57 (step @p86 :rule refl :args (@t12)) % 0.38/0.57 (step @p87 :rule cong :premises (@p86 @p85) :args ((= @t12 @t63))) % 0.38/0.57 (step @p88 :rule symm :premises (@p87)) % 0.38/0.57 (step @p89 :rule eq_resolve :premises (@p86 @p88)) % 0.38/0.57 (step @p90 :rule cong :premises (@p89) :args (@t68)) % 0.38/0.57 (step @p91 :rule nary_cong :premises (@p90 @p84) :args (@t69)) % 0.38/0.57 (step @p92 :rule cong :premises (@p91) :args ((forall @t14 @t69))) % 0.38/0.57 (step @p93 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.38/0.57 (step @p94 :rule cong :premises (@p93) :args (@t70)) % 0.38/0.57 (step @p95 :rule trans :premises (@p94 @p92)) % 0.38/0.57 (step @p96 :rule cong :premises (@p95) :args (@t71)) % 0.38/0.57 (step @p97 :rule exists-elim :args ((= @t15 @t71))) % 0.38/0.57 (step @p98 :rule trans :premises (@p97 @p96)) % 0.38/0.57 (step @p99 :rule cong :premises (@p98 @p69) :args (@t16)) % 0.38/0.57 (step @p100 :rule cong :premises (@p99) :args (@t18)) % 0.38/0.57 (step @p101 :rule trans :premises (@p100 @p68)) % 0.38/0.57 (step @p102 :rule refl :args (@t19)) % 0.38/0.57 (step @p103 :rule refl :args (@t29)) % 0.38/0.57 (step @p104 :rule refl :args (@t20)) % 0.38/0.57 (step @p105 :rule cong :premises (@p104 @p103) :args ((= @t20 @t29))) % 0.38/0.57 (step @p106 :rule symm :premises (@p105)) % 0.38/0.57 (step @p107 :rule eq_resolve :premises (@p104 @p106)) % 0.38/0.57 (step @p108 :rule cong :premises (@p107) :args (@t72)) % 0.38/0.57 (step @p109 :rule nary_cong :premises (@p108 @p58) :args (@t73)) % 0.38/0.57 (step @p110 :rule cong :premises (@p109) :args ((forall @t17 @t73))) % 0.38/0.57 (step @p111 :rule bool-impl-elim :args (@t20 @t3)) % 0.38/0.57 (step @p112 :rule cong :premises (@p111) :args (@t21)) % 0.38/0.57 (step @p113 :rule trans :premises (@p112 @p110)) % 0.38/0.57 (step @p114 :rule nary_cong :premises (@p113 @p102) :args (@t22)) % 0.38/0.57 (step @p115 :rule cong :premises (@p114 @p101) :args (@t23)) % 0.38/0.57 (step @p116 :rule cong :premises (@p115) :args (@t25)) % 0.38/0.57 (step @p117 :rule trans :premises (@p116 @p15)) % 0.38/0.57 (step @p118 :rule cong :premises (@p117) :args (@t26)) % 0.38/0.57 (step @p119 :rule eq_resolve :premises (@p1 @p118)) % 0.38/0.57 (step @p120 :rule skolemize :premises (@p119)) % 0.38/0.57 (step @p121 :rule cnf_or_neg :args (@t77 1)) % 0.38/0.57 (assume-push @p167 @t75) % 0.38/0.57 (step @p123 :rule instantiate :premises (@p167) :args ((@list @t79))) % 0.38/0.57 (step-pop @p168 :rule scope :premises (@p123)) % 0.38/0.57 (step @p124 :rule process_scope :premises (@p168) :args (@t80)) % 0.38/0.57 (step @p126 :rule implies_elim :premises (@p124)) % 0.38/0.57 (step @p127 :rule cnf_equiv_neg2 :args (@t82)) % 0.38/0.57 (step @p128 :rule refl :args (@t83)) % 0.38/0.57 (step @p129 :rule bool-double-not-elim :args (@t78)) % 0.38/0.57 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or (not @t84) @t83))) % 0.38/0.57 (assume-push @p169 @t84) % 0.38/0.57 (step @p132 :rule skolemize :premises (@p169)) % 0.38/0.57 (step-pop @p170 :rule scope :premises (@p132)) % 0.38/0.57 (step @p133 :rule process_scope :premises (@p170) :args (@t83)) % 0.38/0.57 (step @p135 :rule implies_elim :premises (@p133)) % 0.38/0.57 (step @p136 :rule eq_resolve :premises (@p135 @p130)) % 0.38/0.57 (step @p137 :rule cnf_or_neg :args (@t81 0)) % 0.38/0.57 (step @p138 :rule chain_m_resolution :premises (@p137 @p136 @p127 @p120 @p126 @p121) :args (@t85 (@list false true true false false) (@list @t78 @t81 @t82 @t80 @t77))) % 0.38/0.57 (step @p139 :rule cnf_or_neg :args (@t77 0)) % 0.38/0.57 (step @p140 :rule cnf_or_neg :args (@t81 1)) % 0.38/0.57 (step @p141 :rule chain_m_resolution :premises (@p127 @p120 @p140 @p139) :args ((not @t76) (@list true false false) (@list @t82 @t81 @t77))) % 0.38/0.57 (step @p142 :rule cnf_or_pos :args (@t77)) % 0.38/0.57 (step @p143 :rule reordering :premises (@p142) :args ((or @t76 @t75 @t86))) % 0.38/0.57 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p138) :args (@t86 @t87 (@list @t76 @t75))) % 0.38/0.57 (step @p145 :rule cnf_equiv_neg1 :args (@t82)) % 0.38/0.57 (step @p146 :rule reordering :premises (@p145) :args ((or @t77 @t81 @t82))) % 0.38/0.57 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p120) :args (@t81 @t87 (@list @t77 @t82))) % 0.38/0.57 (step @p148 :rule cnf_or_pos :args (@t81)) % 0.38/0.57 (step @p149 :rule reordering :premises (@p148) :args ((or @t76 @t78 (not @t81)))) % 0.38/0.57 (step @p150 :rule chain_m_resolution :premises (@p149 @p141 @p147) :args (@t78 @t88 (@list @t76 @t81))) % 0.38/0.57 (step @p151 :rule refl :args (@t91)) % 0.38/0.57 (step @p152 :rule bool-double-not-elim :args (@t75)) % 0.38/0.57 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or (not @t85) @t91))) % 0.38/0.57 (assume-push @p171 @t85) % 0.38/0.57 (step @p155 :rule skolemize :premises (@p171)) % 0.38/0.57 (step-pop @p172 :rule scope :premises (@p155)) % 0.38/0.57 (step @p156 :rule process_scope :premises (@p172) :args (@t91)) % 0.38/0.57 (step @p158 :rule implies_elim :premises (@p156)) % 0.38/0.57 (step @p159 :rule eq_resolve :premises (@p158 @p153)) % 0.38/0.57 (step @p160 :rule chain_m_resolution :premises (@p159 @p138) :args (@t91 (@list true) (@list @t75))) % 0.38/0.57 (assume-push @p173 @t78) % 0.38/0.57 (step @p162 :rule instantiate :premises (@p173) :args ((@list @t89))) % 0.38/0.57 (step-pop @p174 :rule scope :premises (@p162)) % 0.38/0.57 (step @p163 :rule process_scope :premises (@p174) :args (@t90)) % 0.38/0.57 (step @p165 :rule implies_elim :premises (@p163)) % 0.38/0.57 (step @p166 false :rule chain_m_resolution :premises (@p165 @p160 @p150) :args (false @t88 (@list @t90 @t78))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------