%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU614^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:52:25 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU614^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n020.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:43:25 EDT 2026 % 0.18/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.symdiffE Bool) % 0.37/0.56 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "Xphi" Bool)) % 0.37/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.56 (define @t3 () (@var "Xx" $$unsorted)) % 0.37/0.56 (define @t4 () (_ tptp.in @t3)) % 0.37/0.56 (define @t5 () (_ @t4 @t2)) % 0.37/0.56 (define @t6 () (=> @t5 @t1)) % 0.37/0.56 (define @t7 () (@var "A" $$unsorted)) % 0.37/0.56 (define @t8 () (_ @t4 @t7)) % 0.37/0.56 (define @t9 () (not @t8)) % 0.37/0.56 (define @t10 () (=> @t9 @t6)) % 0.37/0.56 (define @t11 () (=> @t10 @t1)) % 0.37/0.56 (define @t12 () (not @t5)) % 0.37/0.56 (define @t13 () (=> @t12 @t1)) % 0.37/0.56 (define @t14 () (=> @t8 @t13)) % 0.37/0.56 (define @t15 () (@list @t1)) % 0.37/0.56 (define @t16 () (forall @t15 (=> @t14 @t11))) % 0.37/0.56 (define @t17 () (_ (_ tptp.symdiff @t7) @t2)) % 0.37/0.56 (define @t18 () (_ @t4 @t17)) % 0.37/0.56 (define @t19 () (=> @t18 @t16)) % 0.37/0.56 (define @t20 () (@list @t7 @t2 @t3)) % 0.37/0.56 (define @t21 () (forall @t20 @t19)) % 0.37/0.56 (define @t22 () (= tptp.symdiffE @t21)) % 0.37/0.56 (define @t23 () (not @t18)) % 0.37/0.56 (define @t24 () (=> @t5 @t23)) % 0.37/0.56 (define @t25 () (forall @t20 (=> @t8 @t24))) % 0.37/0.56 (define @t26 () (=> tptp.symdiffE @t25)) % 0.37/0.56 (define @t27 () (not @t26)) % 0.37/0.56 (define @t28 () (tptp.symdiff @t7 @t2)) % 0.37/0.56 (define @t29 () (tptp.in @t3 @t28)) % 0.37/0.56 (define @t30 () (tptp.in @t3 @t2)) % 0.37/0.56 (define @t31 () (not @t30)) % 0.37/0.56 (define @t32 () (tptp.in @t3 @t7)) % 0.37/0.56 (define @t33 () (not @t32)) % 0.37/0.56 (define @t34 () (forall @t20 (or @t33 @t31 (not @t29)))) % 0.37/0.56 (define @t35 () (and @t33 @t30)) % 0.37/0.56 (define @t36 () (and @t32 @t31)) % 0.37/0.56 (define @t37 () (or @t23 @t36 @t35)) % 0.37/0.56 (define @t38 () (or @t36 @t35)) % 0.37/0.56 (define @t39 () (not false)) % 0.37/0.56 (define @t40 () (and @t33 @t30 @t39)) % 0.37/0.56 (define @t41 () (and @t32 @t31 @t39)) % 0.37/0.56 (define @t42 () (or @t41 @t40)) % 0.37/0.56 (define @t43 () (or @t41 @t40 false)) % 0.37/0.56 (define @t44 () (not @t1)) % 0.37/0.56 (define @t45 () (and @t33 @t30 @t44)) % 0.37/0.56 (define @t46 () (and @t32 @t31 @t44)) % 0.37/0.56 (define @t47 () (or @t1 @t46 @t45 @t1)) % 0.37/0.56 (define @t48 () (or @t46 @t45 @t1)) % 0.37/0.56 (define @t49 () (and @t9 @t5 @t44)) % 0.37/0.56 (define @t50 () (and @t8 @t12 @t44)) % 0.37/0.56 (define @t51 () (or @t50 @t49 @t1)) % 0.37/0.56 (define @t52 () (=> tptp.symdiffE @t34)) % 0.37/0.56 (define @t53 () (or @t9 @t12 @t23)) % 0.37/0.56 (define @t54 () (@quantifiers_skolemize @t34 1)) % 0.37/0.56 (define @t55 () (@quantifiers_skolemize @t34 0)) % 0.37/0.56 (define @t56 () (@quantifiers_skolemize @t34 2)) % 0.37/0.56 (define @t57 () (tptp.in @t56 (tptp.symdiff @t55 @t54))) % 0.37/0.56 (define @t58 () (not @t57)) % 0.37/0.56 (define @t59 () (tptp.in @t56 @t54)) % 0.37/0.56 (define @t60 () (not @t59)) % 0.37/0.56 (define @t61 () (tptp.in @t56 @t55)) % 0.37/0.56 (define @t62 () (not @t61)) % 0.37/0.56 (define @t63 () (or @t62 @t60 @t58)) % 0.37/0.56 (define @t64 () (@list true)) % 0.37/0.56 (define @t65 () (@list @t63)) % 0.37/0.56 (define @t66 () (and @t61 @t60)) % 0.37/0.56 (define @t67 () (not @t66)) % 0.37/0.56 (define @t68 () (@list false)) % 0.37/0.56 (define @t69 () (and @t62 @t59)) % 0.37/0.56 (define @t70 () (not @t69)) % 0.37/0.56 (define @t71 () (or @t58 @t66 @t69)) % 0.37/0.56 (assume @p1 @t22) % 0.37/0.56 (assume @p2 @t27) % 0.37/0.56 (assume @p3 true) % 0.37/0.56 (step @p4 :rule refl :args (@t34)) % 0.37/0.56 (step @p5 :rule refl :args (@t35)) % 0.37/0.56 (step @p6 :rule refl :args (@t36)) % 0.37/0.56 (step @p7 :rule refl :args ((tptp.in @t3 @t17))) % 0.37/0.56 (step @p8 :rule refl :args (@t28)) % 0.37/0.56 (step @p9 :rule refl :args (@t3)) % 0.37/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args (@t29)) % 0.37/0.56 (step @p11 :rule trans :premises (@p10 @p7)) % 0.37/0.56 (step @p12 :rule refl :args (@t4)) % 0.37/0.56 (step @p13 :rule ho_cong :premises (@p12 @p8)) % 0.37/0.56 (step @p14 :rule cong :premises (@p13 @p11) :args ((= (_ @t4 @t28) @t29))) % 0.37/0.56 (step @p15 :rule symm :premises (@p14)) % 0.37/0.56 (step @p16 :rule refl :args (@t18)) % 0.37/0.56 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.37/0.56 (step @p18 :rule refl :args (@t17)) % 0.37/0.56 (step @p19 :rule cong :premises (@p18 @p8) :args ((= @t17 @t28))) % 0.37/0.56 (step @p20 :rule symm :premises (@p19)) % 0.37/0.56 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.37/0.56 (step @p22 :rule ho_cong :premises (@p12 @p21)) % 0.37/0.56 (step @p23 :rule trans :premises (@p22 @p17)) % 0.37/0.56 (step @p24 :rule cong :premises (@p23) :args (@t23)) % 0.37/0.56 (step @p25 :rule nary_cong :premises (@p24 @p6 @p5) :args (@t37)) % 0.37/0.56 (step @p26 :rule cong :premises (@p25) :args ((forall @t20 @t37))) % 0.37/0.56 (step @p27 :rule aci_norm :args ((= (or @t23 @t38) @t37))) % 0.37/0.56 (step @p28 :rule bool-impl-elim :args (@t18 @t38)) % 0.37/0.56 (step @p29 :rule trans :premises (@p28 @p27)) % 0.37/0.56 (step @p30 :rule cong :premises (@p29) :args ((forall @t20 (=> @t18 @t38)))) % 0.37/0.56 (step @p31 :rule trans :premises (@p30 @p26)) % 0.37/0.56 (step @p32 :rule aci_norm :args ((= (and @t33 @t30 true) @t35))) % 0.37/0.56 (step @p33 :rule evaluate :args (@t39)) % 0.37/0.56 (step @p34 :rule refl :args (@t30)) % 0.37/0.56 (step @p35 :rule refl :args (@t33)) % 0.37/0.56 (step @p36 :rule nary_cong :premises (@p35 @p34 @p33) :args (@t40)) % 0.37/0.56 (step @p37 :rule trans :premises (@p36 @p32)) % 0.37/0.56 (step @p38 :rule aci_norm :args ((= (and @t32 @t31 true) @t36))) % 0.37/0.56 (step @p39 :rule refl :args (@t31)) % 0.37/0.56 (step @p40 :rule refl :args (@t32)) % 0.37/0.56 (step @p41 :rule nary_cong :premises (@p40 @p39 @p33) :args (@t41)) % 0.37/0.56 (step @p42 :rule trans :premises (@p41 @p38)) % 0.37/0.56 (step @p43 :rule nary_cong :premises (@p42 @p37) :args (@t42)) % 0.37/0.56 (step @p44 :rule aci_norm :args ((= @t43 @t42))) % 0.37/0.56 (step @p45 :rule trans :premises (@p44 @p43)) % 0.37/0.56 (step @p46 :rule quant-var-elim-eq :args ((= (forall @t15 (or (not (= @t1 false)) @t46 @t45 @t1)) @t43))) % 0.37/0.56 (step @p47 :rule refl :args (@t1)) % 0.37/0.56 (step @p48 :rule refl :args (@t45)) % 0.37/0.56 (step @p49 :rule refl :args (@t46)) % 0.37/0.56 (step @p50 :rule bool-eq-false :args (@t1)) % 0.37/0.56 (step @p51 :rule symm :premises (@p50)) % 0.37/0.56 (step @p52 :rule cong :premises (@p51) :args ((not @t44))) % 0.37/0.56 (step @p53 :rule bool-double-not-elim :args (@t1)) % 0.37/0.56 (step @p54 :rule symm :premises (@p53)) % 0.37/0.56 (step @p55 :rule trans :premises (@p54 @p52)) % 0.37/0.56 (step @p56 :rule nary_cong :premises (@p55 @p49 @p48 @p47) :args (@t47)) % 0.37/0.56 (step @p57 :rule aci_norm :args ((= @t48 @t47))) % 0.37/0.56 (step @p58 :rule trans :premises (@p57 @p56)) % 0.37/0.56 (step @p59 :rule cong :premises (@p58) :args ((forall @t15 @t48))) % 0.37/0.56 (step @p60 :rule trans :premises (@p59 @p46)) % 0.37/0.56 (step @p61 :rule trans :premises (@p60 @p45)) % 0.37/0.56 (step @p62 :rule refl :args (@t44)) % 0.37/0.56 (step @p63 :rule refl :args (@t30)) % 0.37/0.56 (step @p64 :rule refl :args (@t5)) % 0.37/0.56 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t5 @t30))) % 0.37/0.56 (step @p66 :rule symm :premises (@p65)) % 0.37/0.56 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.37/0.56 (step @p68 :rule refl :args (@t32)) % 0.37/0.56 (step @p69 :rule refl :args (@t8)) % 0.37/0.56 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t8 @t32))) % 0.37/0.56 (step @p71 :rule symm :premises (@p70)) % 0.37/0.56 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 0.37/0.56 (step @p73 :rule cong :premises (@p72) :args (@t9)) % 0.37/0.56 (step @p74 :rule nary_cong :premises (@p73 @p67 @p62) :args (@t49)) % 0.37/0.56 (step @p75 :rule cong :premises (@p67) :args (@t12)) % 0.37/0.56 (step @p76 :rule nary_cong :premises (@p72 @p75 @p62) :args (@t50)) % 0.37/0.56 (step @p77 :rule nary_cong :premises (@p76 @p74 @p47) :args (@t51)) % 0.37/0.56 (step @p78 :rule cong :premises (@p77) :args ((forall @t15 @t51))) % 0.37/0.56 (step @p79 :rule trans :premises (@p78 @p61)) % 0.37/0.56 (step @p80 :rule aci_norm :args ((= (or @t50 (or @t49 @t1)) @t51))) % 0.37/0.56 (step @p81 :rule aci_norm :args ((= (and @t9 (and @t5 @t44)) @t49))) % 0.37/0.56 (step @p82 :rule bool-implies-de-morgan :args (@t5 @t1)) % 0.37/0.56 (step @p83 :rule refl :args (@t9)) % 0.37/0.56 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((and @t9 (not @t6)))) % 0.37/0.56 (step @p85 :rule trans :premises (@p84 @p81)) % 0.37/0.56 (step @p86 :rule bool-implies-de-morgan :args (@t9 @t6)) % 0.37/0.56 (step @p87 :rule trans :premises (@p86 @p85)) % 0.37/0.56 (step @p88 :rule nary_cong :premises (@p87 @p47) :args ((or (not @t10) @t1))) % 0.37/0.56 (step @p89 :rule bool-impl-elim :args (@t10 @t1)) % 0.37/0.56 (step @p90 :rule trans :premises (@p89 @p88)) % 0.37/0.56 (step @p91 :rule aci_norm :args ((= (and @t8 (and @t12 @t44)) @t50))) % 0.37/0.56 (step @p92 :rule bool-implies-de-morgan :args (@t12 @t1)) % 0.37/0.56 (step @p93 :rule nary_cong :premises (@p69 @p92) :args ((and @t8 (not @t13)))) % 0.37/0.56 (step @p94 :rule trans :premises (@p93 @p91)) % 0.37/0.56 (step @p95 :rule bool-implies-de-morgan :args (@t8 @t13)) % 0.37/0.56 (step @p96 :rule trans :premises (@p95 @p94)) % 0.37/0.56 (step @p97 :rule nary_cong :premises (@p96 @p90) :args ((or (not @t14) @t11))) % 0.37/0.56 (step @p98 :rule trans :premises (@p97 @p80)) % 0.37/0.56 (step @p99 :rule bool-impl-elim :args (@t14 @t11)) % 0.37/0.56 (step @p100 :rule trans :premises (@p99 @p98)) % 0.37/0.56 (step @p101 :rule cong :premises (@p100) :args (@t16)) % 0.37/0.56 (step @p102 :rule trans :premises (@p101 @p79)) % 0.37/0.56 (step @p103 :rule refl :args (@t18)) % 0.37/0.56 (step @p104 :rule cong :premises (@p103 @p102) :args (@t19)) % 0.37/0.56 (step @p105 :rule cong :premises (@p104) :args (@t21)) % 0.37/0.56 (step @p106 :rule trans :premises (@p105 @p31)) % 0.37/0.56 (step @p107 :rule refl :args (tptp.symdiffE)) % 0.37/0.56 (step @p108 :rule cong :premises (@p107 @p106) :args (@t22)) % 0.37/0.56 (step @p109 :rule eq_resolve :premises (@p1 @p108)) % 0.37/0.56 (step @p110 :rule cong :premises (@p109 @p4) :args (@t52)) % 0.37/0.56 (step @p111 :rule cong :premises (@p110) :args ((not @t52))) % 0.37/0.56 (step @p112 :rule nary_cong :premises (@p73 @p75 @p24) :args (@t53)) % 0.37/0.56 (step @p113 :rule cong :premises (@p112) :args ((forall @t20 @t53))) % 0.37/0.56 (step @p114 :rule aci_norm :args ((= (or @t9 (or @t12 @t23)) @t53))) % 0.37/0.56 (step @p115 :rule bool-impl-elim :args (@t5 @t23)) % 0.37/0.56 (step @p116 :rule nary_cong :premises (@p83 @p115) :args ((or @t9 @t24))) % 0.37/0.56 (step @p117 :rule trans :premises (@p116 @p114)) % 0.37/0.56 (step @p118 :rule bool-impl-elim :args (@t8 @t24)) % 0.37/0.56 (step @p119 :rule trans :premises (@p118 @p117)) % 0.37/0.56 (step @p120 :rule cong :premises (@p119) :args (@t25)) % 0.37/0.56 (step @p121 :rule trans :premises (@p120 @p113)) % 0.37/0.56 (step @p122 :rule cong :premises (@p107 @p121) :args (@t26)) % 0.37/0.56 (step @p123 :rule cong :premises (@p122) :args (@t27)) % 0.37/0.56 (step @p124 :rule trans :premises (@p123 @p111)) % 0.37/0.56 (step @p125 :rule eq_resolve :premises (@p2 @p124)) % 0.37/0.56 (step @p126 :rule not_implies_elim2 :premises (@p125)) % 0.37/0.56 (step @p127 :rule skolemize :premises (@p126)) % 0.37/0.56 (step @p128 :rule bool-double-not-elim :args (@t57)) % 0.37/0.56 (step @p129 :rule refl :args (@t63)) % 0.37/0.56 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or @t63 (not @t58)))) % 0.37/0.56 (step @p131 :rule cnf_or_neg :args (@t63 2)) % 0.37/0.56 (step @p132 :rule eq_resolve :premises (@p131 @p130)) % 0.37/0.56 (step @p133 :rule reordering :premises (@p132) :args ((or @t57 @t63))) % 0.37/0.56 (step @p134 :rule chain_m_resolution :premises (@p133 @p127) :args (@t57 @t64 @t65)) % 0.37/0.56 (step @p135 :rule not_implies_elim1 :premises (@p125)) % 0.37/0.56 (step @p136 :rule instantiate :premises (@p135) :args ((@list @t55 @t54 @t56))) % 0.37/0.56 (step @p137 :rule bool-double-not-elim :args (@t59)) % 0.37/0.56 (step @p138 :rule nary_cong :premises (@p129 @p137) :args ((or @t63 (not @t60)))) % 0.37/0.56 (step @p139 :rule cnf_or_neg :args (@t63 1)) % 0.37/0.56 (step @p140 :rule eq_resolve :premises (@p139 @p138)) % 0.37/0.56 (step @p141 :rule reordering :premises (@p140) :args ((or @t59 @t63))) % 0.37/0.56 (step @p142 :rule chain_m_resolution :premises (@p141 @p127) :args (@t59 @t64 @t65)) % 0.37/0.56 (step @p143 :rule cnf_and_pos :args (@t66 1)) % 0.37/0.56 (step @p144 :rule reordering :premises (@p143) :args ((or @t60 @t67))) % 0.37/0.56 (step @p145 :rule chain_m_resolution :premises (@p144 @p142) :args (@t67 @t68 (@list @t59))) % 0.37/0.56 (step @p146 :rule bool-double-not-elim :args (@t61)) % 0.37/0.56 (step @p147 :rule nary_cong :premises (@p129 @p146) :args ((or @t63 (not @t62)))) % 0.37/0.56 (step @p148 :rule cnf_or_neg :args (@t63 0)) % 0.37/0.56 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 0.37/0.56 (step @p150 :rule reordering :premises (@p149) :args ((or @t61 @t63))) % 0.37/0.56 (step @p151 :rule chain_m_resolution :premises (@p150 @p127) :args (@t61 @t64 @t65)) % 0.37/0.56 (step @p152 :rule cnf_and_pos :args (@t69 0)) % 0.37/0.56 (step @p153 :rule reordering :premises (@p152) :args ((or @t62 @t70))) % 0.37/0.56 (step @p154 :rule chain_m_resolution :premises (@p153 @p151) :args (@t70 @t68 (@list @t61))) % 0.37/0.56 (step @p155 :rule cnf_or_pos :args (@t71)) % 0.37/0.56 (step @p156 :rule reordering :premises (@p155) :args ((or @t58 @t66 @t69 (not @t71)))) % 0.37/0.56 (step @p157 false :rule chain_m_resolution :premises (@p156 @p154 @p145 @p136 @p134) :args (false (@list true true false false) (@list @t69 @t66 @t71 @t57))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------