%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV070^5 : 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 : n001.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 08:55:24 AM UTC 2026 % Result : Theorem 0.33s 0.55s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV070^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n001.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 18:12:05 EDT 2026 % 0.16/0.33 % CPUTime : % 0.19/0.48 %----Proving TH0 % 0.33/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.33/0.55 % SZS status Theorem % 0.33/0.55 % SZS output start Proof % 0.33/0.55 ( % 0.33/0.55 (declare-sort $$unsorted 0) % 0.33/0.55 (declare-const tptp.cS (-> $$unsorted $$unsorted)) % 0.33/0.55 (define @t1 () (@var "Xz" $$unsorted)) % 0.33/0.55 (define @t2 () (@var "Xp" (-> $$unsorted Bool))) % 0.33/0.55 (define @t3 () (_ @t2 @t1)) % 0.33/0.55 (define @t4 () (@var "Xn" $$unsorted)) % 0.33/0.55 (define @t5 () (_ tptp.cS @t4)) % 0.33/0.55 (define @t6 () (_ @t2 @t5)) % 0.33/0.55 (define @t7 () (_ @t2 @t4)) % 0.33/0.55 (define @t8 () (@list @t4)) % 0.33/0.55 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.33/0.55 (define @t10 () (@var "Xx" $$unsorted)) % 0.33/0.55 (define @t11 () (_ @t2 @t10)) % 0.33/0.55 (define @t12 () (and @t11 @t9)) % 0.33/0.55 (define @t13 () (=> @t12 @t3)) % 0.33/0.55 (define @t14 () (@list @t2)) % 0.33/0.55 (define @t15 () (forall @t14 @t13)) % 0.33/0.55 (define @t16 () (@var "Xy" $$unsorted)) % 0.33/0.55 (define @t17 () (_ @t2 @t16)) % 0.33/0.55 (define @t18 () (and @t17 @t9)) % 0.33/0.55 (define @t19 () (=> @t18 @t3)) % 0.33/0.55 (define @t20 () (forall @t14 @t19)) % 0.33/0.55 (define @t21 () (=> @t12 @t17)) % 0.33/0.55 (define @t22 () (forall @t14 @t21)) % 0.33/0.55 (define @t23 () (and @t22 @t20)) % 0.33/0.55 (define @t24 () (=> @t23 @t15)) % 0.33/0.55 (define @t25 () (@list @t10 @t16 @t1)) % 0.33/0.55 (define @t26 () (forall @t25 @t24)) % 0.33/0.55 (define @t27 () (not @t26)) % 0.33/0.55 (define @t28 () (@var "BOUND_VARIABLE_7488" (-> $$unsorted Bool))) % 0.33/0.55 (define @t29 () (_ @t28 @t1)) % 0.33/0.55 (define @t30 () (tptp.cS @t4)) % 0.33/0.55 (define @t31 () (not (forall @t8 (or (not (_ @t28 @t4)) (_ @t28 @t30))))) % 0.33/0.55 (define @t32 () (not (_ @t28 @t10))) % 0.33/0.55 (define @t33 () (_ @t2 @t1)) % 0.33/0.55 (define @t34 () (_ @t2 @t30)) % 0.33/0.55 (define @t35 () (_ @t2 @t4)) % 0.33/0.55 (define @t36 () (forall @t8 (or (not @t35) @t34))) % 0.33/0.55 (define @t37 () (not @t36)) % 0.33/0.55 (define @t38 () (_ @t2 @t16)) % 0.33/0.55 (define @t39 () (forall @t14 (or (not @t38) @t37 @t33))) % 0.33/0.55 (define @t40 () (not @t39)) % 0.33/0.55 (define @t41 () (_ @t2 @t10)) % 0.33/0.55 (define @t42 () (not @t41)) % 0.33/0.55 (define @t43 () (forall @t14 (or @t42 @t37 @t38))) % 0.33/0.55 (define @t44 () (not @t43)) % 0.33/0.55 (define @t45 () (or @t44 @t40 @t32 @t31 @t29)) % 0.33/0.55 (define @t46 () (or @t32 @t31 @t29)) % 0.33/0.55 (define @t47 () (or @t44 @t40 @t46)) % 0.33/0.55 (define @t48 () (@list @t10 @t16 @t1 @t28)) % 0.33/0.55 (define @t49 () (forall @t48 @t47)) % 0.33/0.55 (define @t50 () (@list @t28)) % 0.33/0.55 (define @t51 () (forall @t50 @t47)) % 0.33/0.55 (define @t52 () (forall @t50 @t46)) % 0.33/0.55 (define @t53 () (or @t44 @t40 @t52)) % 0.33/0.55 (define @t54 () (forall @t14 (or @t42 @t37 @t33))) % 0.33/0.55 (define @t55 () (or @t44 @t40 @t54)) % 0.33/0.55 (define @t56 () (and @t43 @t39)) % 0.33/0.55 (define @t57 () (not @t11)) % 0.33/0.55 (define @t58 () (or @t57 @t37 @t3)) % 0.33/0.55 (define @t59 () (or @t57 @t37)) % 0.33/0.55 (define @t60 () (and @t11 @t36)) % 0.33/0.55 (define @t61 () (not @t60)) % 0.33/0.55 (define @t62 () (not @t7)) % 0.33/0.55 (define @t63 () (or @t62 @t6)) % 0.33/0.55 (define @t64 () (not @t17)) % 0.33/0.55 (define @t65 () (or @t64 @t37 @t3)) % 0.33/0.55 (define @t66 () (and @t17 @t36)) % 0.33/0.55 (define @t67 () (or @t57 @t37 @t17)) % 0.33/0.55 (define @t68 () (forall @t48 @t45)) % 0.33/0.55 (define @t69 () (@quantifiers_skolemize @t68 3)) % 0.33/0.55 (define @t70 () (forall @t8 (or (not (_ @t69 @t4)) (_ @t69 @t30)))) % 0.33/0.55 (define @t71 () (@quantifiers_skolemize @t68 2)) % 0.33/0.55 (define @t72 () (_ @t69 @t71)) % 0.33/0.55 (define @t73 () (not @t70)) % 0.33/0.55 (define @t74 () (@quantifiers_skolemize @t68 0)) % 0.33/0.55 (define @t75 () (_ @t69 @t74)) % 0.33/0.55 (define @t76 () (not @t75)) % 0.33/0.55 (define @t77 () (@quantifiers_skolemize @t68 1)) % 0.33/0.55 (define @t78 () (_ @t2 @t77)) % 0.33/0.55 (define @t79 () (forall @t14 (or (not @t78) @t37 (_ @t2 @t71)))) % 0.33/0.55 (define @t80 () (not @t79)) % 0.33/0.55 (define @t81 () (forall @t14 (or (not (_ @t2 @t74)) @t37 @t78))) % 0.33/0.55 (define @t82 () (not @t81)) % 0.33/0.55 (define @t83 () (or @t82 @t80 @t76 @t73 @t72)) % 0.33/0.55 (define @t84 () (@list true)) % 0.33/0.55 (define @t85 () (@list @t83)) % 0.33/0.55 (define @t86 () (@list @t69)) % 0.33/0.55 (define @t87 () (_ @t69 @t77)) % 0.33/0.55 (define @t88 () (or @t76 @t73 @t87)) % 0.33/0.55 (define @t89 () (not @t87)) % 0.33/0.55 (define @t90 () (or @t89 @t73 @t72)) % 0.33/0.55 (assume @p1 @t27) % 0.33/0.55 (assume @p2 true) % 0.33/0.55 (step @p3 :rule aci_norm :args ((= @t47 @t45))) % 0.33/0.55 (step @p4 :rule cong :premises (@p3) :args (@t49)) % 0.33/0.55 (step @p5 :rule quant-merge-prenex :args ((= (forall @t25 @t51) @t49))) % 0.33/0.55 (step @p6 :rule alpha_equiv :args (@t52 (@list @t28) (@list @t2))) % 0.33/0.55 (step @p7 :rule refl :args (@t40)) % 0.33/0.55 (step @p8 :rule refl :args (@t44)) % 0.33/0.55 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t53)) % 0.33/0.55 (step @p10 :rule quant-miniscope-or :args ((= @t51 @t53))) % 0.33/0.55 (step @p11 :rule trans :premises (@p10 @p9)) % 0.33/0.55 (step @p12 :rule symm :premises (@p11)) % 0.33/0.55 (step @p13 :rule cong :premises (@p12) :args ((forall @t25 @t55))) % 0.33/0.55 (step @p14 :rule trans :premises (@p13 @p5)) % 0.33/0.55 (step @p15 :rule trans :premises (@p14 @p4)) % 0.33/0.55 (step @p16 :rule aci_norm :args ((= (or (or @t44 @t40) @t54) @t55))) % 0.33/0.55 (step @p17 :rule refl :args (@t54)) % 0.33/0.55 (step @p18 :rule bool-and-de-morgan :args (@t43 @t39 true)) % 0.33/0.55 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t56) @t54))) % 0.33/0.55 (step @p20 :rule trans :premises (@p19 @p16)) % 0.33/0.55 (step @p21 :rule bool-impl-elim :args (@t56 @t54)) % 0.33/0.55 (step @p22 :rule trans :premises (@p21 @p20)) % 0.33/0.55 (step @p23 :rule cong :premises (@p22) :args ((forall @t25 (=> @t56 @t54)))) % 0.33/0.55 (step @p24 :rule trans :premises (@p23 @p15)) % 0.33/0.55 (step @p25 :rule refl :args (@t33)) % 0.33/0.55 (step @p26 :rule refl :args (@t3)) % 0.33/0.55 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t3 @t33))) % 0.33/0.55 (step @p28 :rule symm :premises (@p27)) % 0.33/0.55 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.33/0.55 (step @p30 :rule refl :args (@t37)) % 0.33/0.55 (step @p31 :rule refl :args (@t41)) % 0.33/0.55 (step @p32 :rule refl :args (@t11)) % 0.33/0.55 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t11 @t41))) % 0.33/0.55 (step @p34 :rule symm :premises (@p33)) % 0.33/0.55 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.33/0.55 (step @p36 :rule cong :premises (@p35) :args (@t57)) % 0.33/0.55 (step @p37 :rule nary_cong :premises (@p36 @p30 @p29) :args (@t58)) % 0.33/0.55 (step @p38 :rule cong :premises (@p37) :args ((forall @t14 @t58))) % 0.33/0.55 (step @p39 :rule aci_norm :args ((= (or @t59 @t3) @t58))) % 0.33/0.55 (step @p40 :rule bool-and-de-morgan :args (@t11 @t36 true)) % 0.33/0.55 (step @p41 :rule nary_cong :premises (@p40 @p26) :args ((or @t61 @t3))) % 0.33/0.55 (step @p42 :rule trans :premises (@p41 @p39)) % 0.33/0.55 (step @p43 :rule bool-impl-elim :args (@t60 @t3)) % 0.33/0.55 (step @p44 :rule trans :premises (@p43 @p42)) % 0.33/0.55 (step @p45 :rule cong :premises (@p44) :args ((forall @t14 (=> @t60 @t3)))) % 0.33/0.55 (step @p46 :rule trans :premises (@p45 @p38)) % 0.33/0.55 (step @p47 :rule refl :args (@t3)) % 0.33/0.55 (step @p48 :rule refl :args ((_ @t2 @t5))) % 0.33/0.55 (step @p49 :rule refl :args (@t30)) % 0.33/0.55 (step @p50 :rule cong :premises (@p49) :args (@t34)) % 0.33/0.55 (step @p51 :rule trans :premises (@p50 @p48)) % 0.33/0.55 (step @p52 :rule refl :args (@t2)) % 0.33/0.55 (step @p53 :rule ho_cong :premises (@p52 @p49)) % 0.33/0.55 (step @p54 :rule cong :premises (@p53 @p51) :args ((= (_ @t2 @t30) @t34))) % 0.33/0.55 (step @p55 :rule symm :premises (@p54)) % 0.33/0.55 (step @p56 :rule refl :args (@t6)) % 0.33/0.55 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.33/0.55 (step @p58 :rule refl :args (@t5)) % 0.33/0.55 (step @p59 :rule cong :premises (@p58 @p49) :args ((= @t5 @t30))) % 0.33/0.55 (step @p60 :rule symm :premises (@p59)) % 0.33/0.55 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.33/0.55 (step @p62 :rule ho_cong :premises (@p52 @p61)) % 0.33/0.55 (step @p63 :rule trans :premises (@p62 @p57)) % 0.33/0.55 (step @p64 :rule refl :args (@t35)) % 0.33/0.55 (step @p65 :rule refl :args (@t7)) % 0.33/0.55 (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t7 @t35))) % 0.33/0.55 (step @p67 :rule symm :premises (@p66)) % 0.33/0.55 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 0.33/0.55 (step @p69 :rule cong :premises (@p68) :args (@t62)) % 0.33/0.55 (step @p70 :rule nary_cong :premises (@p69 @p63) :args (@t63)) % 0.33/0.55 (step @p71 :rule cong :premises (@p70) :args ((forall @t8 @t63))) % 0.33/0.55 (step @p72 :rule bool-impl-elim :args (@t7 @t6)) % 0.33/0.55 (step @p73 :rule cong :premises (@p72) :args (@t9)) % 0.33/0.55 (step @p74 :rule trans :premises (@p73 @p71)) % 0.33/0.55 (step @p75 :rule refl :args (@t11)) % 0.33/0.55 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t12)) % 0.33/0.55 (step @p77 :rule cong :premises (@p76 @p47) :args (@t13)) % 0.33/0.55 (step @p78 :rule cong :premises (@p77) :args (@t15)) % 0.33/0.55 (step @p79 :rule trans :premises (@p78 @p46)) % 0.33/0.55 (step @p80 :rule refl :args (@t38)) % 0.33/0.55 (step @p81 :rule refl :args (@t17)) % 0.33/0.55 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t17 @t38))) % 0.33/0.55 (step @p83 :rule symm :premises (@p82)) % 0.33/0.55 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 0.33/0.55 (step @p85 :rule cong :premises (@p84) :args (@t64)) % 0.33/0.55 (step @p86 :rule nary_cong :premises (@p85 @p30 @p29) :args (@t65)) % 0.33/0.55 (step @p87 :rule cong :premises (@p86) :args ((forall @t14 @t65))) % 0.33/0.55 (step @p88 :rule aci_norm :args ((= (or (or @t64 @t37) @t3) @t65))) % 0.33/0.55 (step @p89 :rule bool-and-de-morgan :args (@t17 @t36 true)) % 0.33/0.55 (step @p90 :rule nary_cong :premises (@p89 @p26) :args ((or (not @t66) @t3))) % 0.33/0.55 (step @p91 :rule trans :premises (@p90 @p88)) % 0.33/0.55 (step @p92 :rule bool-impl-elim :args (@t66 @t3)) % 0.33/0.55 (step @p93 :rule trans :premises (@p92 @p91)) % 0.33/0.55 (step @p94 :rule cong :premises (@p93) :args ((forall @t14 (=> @t66 @t3)))) % 0.33/0.55 (step @p95 :rule trans :premises (@p94 @p87)) % 0.33/0.55 (step @p96 :rule refl :args (@t17)) % 0.33/0.55 (step @p97 :rule nary_cong :premises (@p96 @p74) :args (@t18)) % 0.33/0.55 (step @p98 :rule cong :premises (@p97 @p47) :args (@t19)) % 0.33/0.55 (step @p99 :rule cong :premises (@p98) :args (@t20)) % 0.33/0.55 (step @p100 :rule trans :premises (@p99 @p95)) % 0.33/0.55 (step @p101 :rule nary_cong :premises (@p36 @p30 @p84) :args (@t67)) % 0.33/0.55 (step @p102 :rule cong :premises (@p101) :args ((forall @t14 @t67))) % 0.33/0.55 (step @p103 :rule aci_norm :args ((= (or @t59 @t17) @t67))) % 0.33/0.55 (step @p104 :rule nary_cong :premises (@p40 @p81) :args ((or @t61 @t17))) % 0.33/0.55 (step @p105 :rule trans :premises (@p104 @p103)) % 0.33/0.55 (step @p106 :rule bool-impl-elim :args (@t60 @t17)) % 0.33/0.55 (step @p107 :rule trans :premises (@p106 @p105)) % 0.33/0.55 (step @p108 :rule cong :premises (@p107) :args ((forall @t14 (=> @t60 @t17)))) % 0.33/0.55 (step @p109 :rule trans :premises (@p108 @p102)) % 0.33/0.55 (step @p110 :rule cong :premises (@p76 @p96) :args (@t21)) % 0.33/0.55 (step @p111 :rule cong :premises (@p110) :args (@t22)) % 0.33/0.55 (step @p112 :rule trans :premises (@p111 @p109)) % 0.33/0.55 (step @p113 :rule nary_cong :premises (@p112 @p100) :args (@t23)) % 0.33/0.55 (step @p114 :rule cong :premises (@p113 @p79) :args (@t24)) % 0.33/0.55 (step @p115 :rule cong :premises (@p114) :args (@t26)) % 0.33/0.55 (step @p116 :rule trans :premises (@p115 @p24)) % 0.33/0.55 (step @p117 :rule cong :premises (@p116) :args (@t27)) % 0.33/0.55 (step @p118 :rule eq_resolve :premises (@p1 @p117)) % 0.33/0.55 (step @p119 :rule skolemize :premises (@p118)) % 0.33/0.55 (step @p120 :rule bool-double-not-elim :args (@t70)) % 0.33/0.55 (step @p121 :rule refl :args (@t83)) % 0.33/0.55 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t83 (not @t73)))) % 0.33/0.55 (step @p123 :rule cnf_or_neg :args (@t83 3)) % 0.33/0.55 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.33/0.55 (step @p125 :rule reordering :premises (@p124) :args ((or @t70 @t83))) % 0.33/0.55 (step @p126 :rule chain_m_resolution :premises (@p125 @p119) :args (@t70 @t84 @t85)) % 0.33/0.55 (step @p127 :rule cnf_or_neg :args (@t83 4)) % 0.33/0.55 (step @p128 :rule chain_m_resolution :premises (@p127 @p119) :args ((not @t72) @t84 @t85)) % 0.33/0.55 (step @p129 :rule bool-double-not-elim :args (@t79)) % 0.33/0.55 (step @p130 :rule nary_cong :premises (@p121 @p129) :args ((or @t83 (not @t80)))) % 0.33/0.55 (step @p131 :rule cnf_or_neg :args (@t83 1)) % 0.33/0.55 (step @p132 :rule eq_resolve :premises (@p131 @p130)) % 0.33/0.55 (step @p133 :rule reordering :premises (@p132) :args ((or @t79 @t83))) % 0.33/0.55 (step @p134 :rule chain_m_resolution :premises (@p133 @p119) :args (@t79 @t84 @t85)) % 0.33/0.55 (step @p135 :rule instantiate :premises (@p134) :args (@t86)) % 0.33/0.55 (step @p136 :rule bool-double-not-elim :args (@t81)) % 0.33/0.55 (step @p137 :rule nary_cong :premises (@p121 @p136) :args ((or @t83 (not @t82)))) % 0.33/0.55 (step @p138 :rule cnf_or_neg :args (@t83 0)) % 0.33/0.55 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.33/0.55 (step @p140 :rule reordering :premises (@p139) :args ((or @t81 @t83))) % 0.33/0.55 (step @p141 :rule chain_m_resolution :premises (@p140 @p119) :args (@t81 @t84 @t85)) % 0.33/0.55 (step @p142 :rule instantiate :premises (@p141) :args (@t86)) % 0.33/0.55 (step @p143 :rule bool-double-not-elim :args (@t75)) % 0.33/0.55 (step @p144 :rule nary_cong :premises (@p121 @p143) :args ((or @t83 (not @t76)))) % 0.33/0.55 (step @p145 :rule cnf_or_neg :args (@t83 2)) % 0.33/0.55 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 0.33/0.55 (step @p147 :rule reordering :premises (@p146) :args ((or @t75 @t83))) % 0.33/0.55 (step @p148 :rule chain_m_resolution :premises (@p147 @p119) :args (@t75 @t84 @t85)) % 0.33/0.55 (step @p149 :rule cnf_or_pos :args (@t88)) % 0.33/0.55 (step @p150 :rule reordering :premises (@p149) :args ((or @t76 @t73 @t87 (not @t88)))) % 0.33/0.55 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p126 @p142) :args (@t87 (@list false false false) (@list @t75 @t70 @t88))) % 0.33/0.55 (step @p152 :rule cnf_or_pos :args (@t90)) % 0.33/0.55 (step @p153 :rule reordering :premises (@p152) :args ((or @t73 @t72 @t89 (not @t90)))) % 0.33/0.55 (step @p154 false :rule chain_m_resolution :premises (@p153 @p151 @p135 @p128 @p126) :args (false (@list false false true false) (@list @t87 @t90 @t72 @t70))) % 0.33/0.55 ) % 0.33/0.55 % SZS output end Proof % 0.33/0.55 % cvc5 exiting %------------------------------------------------------------------------------