%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV235^5 : 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 : n005.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 08:55:39 AM UTC 2026 % Result : Theorem 0.39s 0.55s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV235^5 : 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 % 0.18/0.34 % Computer : n005.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 18:21:03 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.39/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.55 % SZS status Theorem % 0.39/0.55 % SZS output start Proof % 0.39/0.55 ( % 0.39/0.55 (declare-sort $$unsorted 0) % 0.39/0.55 (declare-const tptp.cD (-> $$unsorted Bool)) % 0.39/0.55 (declare-const tptp.cE (-> $$unsorted Bool)) % 0.39/0.55 (define @t1 () (@var "Xx0" $$unsorted)) % 0.39/0.55 (define @t2 () (_ tptp.cE @t1)) % 0.39/0.55 (define @t3 () (@var "Xx" (-> $$unsorted Bool))) % 0.39/0.55 (define @t4 () (_ @t3 @t1)) % 0.39/0.55 (define @t5 () (@list @t1)) % 0.39/0.55 (define @t6 () (forall @t5 (=> @t4 @t2))) % 0.39/0.55 (define @t7 () (_ tptp.cD @t1)) % 0.39/0.55 (define @t8 () (forall @t5 (=> @t4 @t7))) % 0.39/0.55 (define @t9 () (and @t8 @t6)) % 0.39/0.55 (define @t10 () (and @t7 @t2)) % 0.39/0.55 (define @t11 () (forall @t5 (=> @t4 @t10))) % 0.39/0.55 (define @t12 () (= @t11 @t9)) % 0.39/0.55 (define @t13 () (@list @t3)) % 0.39/0.55 (define @t14 () (forall @t13 @t12)) % 0.39/0.55 (define @t15 () (not @t14)) % 0.39/0.55 (define @t16 () (tptp.cE @t1)) % 0.39/0.55 (define @t17 () (_ @t3 @t1)) % 0.39/0.55 (define @t18 () (not @t4)) % 0.39/0.55 (define @t19 () (or @t18 @t2)) % 0.39/0.55 (define @t20 () (tptp.cD @t1)) % 0.39/0.55 (define @t21 () (or @t18 @t7)) % 0.39/0.55 (define @t22 () (or @t18 @t10)) % 0.39/0.55 (define @t23 () (not @t17)) % 0.39/0.55 (define @t24 () (and @t20 @t16)) % 0.39/0.55 (define @t25 () (@quantifiers_skolemize (forall @t13 (= (forall @t5 (or @t23 @t24)) (and (forall @t5 (or @t23 @t20)) (forall @t5 (or @t23 @t16))))) 0)) % 0.39/0.55 (define @t26 () (not (_ @t25 @t1))) % 0.39/0.55 (define @t27 () (forall @t5 (or @t26 @t16))) % 0.39/0.55 (define @t28 () (forall @t5 (or @t26 @t20))) % 0.39/0.55 (define @t29 () (and @t28 @t27)) % 0.39/0.55 (define @t30 () (forall @t5 (or @t26 @t24))) % 0.39/0.55 (define @t31 () (= @t30 @t29)) % 0.39/0.55 (define @t32 () (@quantifiers_skolemize @t28 0)) % 0.39/0.55 (define @t33 () (tptp.cD @t32)) % 0.39/0.55 (define @t34 () (and @t33 (tptp.cE @t32))) % 0.39/0.55 (define @t35 () (_ @t25 @t32)) % 0.39/0.55 (define @t36 () (not @t35)) % 0.39/0.55 (define @t37 () (or @t36 @t34)) % 0.39/0.55 (define @t38 () (or @t36 @t33)) % 0.39/0.55 (define @t39 () (not @t37)) % 0.39/0.55 (define @t40 () (not @t38)) % 0.39/0.55 (define @t41 () (not @t28)) % 0.39/0.55 (define @t42 () (@quantifiers_skolemize @t27 0)) % 0.39/0.55 (define @t43 () (tptp.cE @t42)) % 0.39/0.55 (define @t44 () (_ @t25 @t42)) % 0.39/0.55 (define @t45 () (not @t44)) % 0.39/0.55 (define @t46 () (or @t45 @t43)) % 0.39/0.55 (define @t47 () (not @t46)) % 0.39/0.55 (define @t48 () (not @t27)) % 0.39/0.55 (define @t49 () (and (tptp.cD @t42) @t43)) % 0.39/0.55 (define @t50 () (or @t45 @t49)) % 0.39/0.55 (define @t51 () (not @t30)) % 0.39/0.55 (define @t52 () (not @t29)) % 0.39/0.55 (define @t53 () (@list false)) % 0.39/0.55 (define @t54 () (@list @t29)) % 0.39/0.55 (define @t55 () (@quantifiers_skolemize @t30 0)) % 0.39/0.55 (define @t56 () (@list @t55)) % 0.39/0.55 (define @t57 () (tptp.cD @t55)) % 0.39/0.55 (define @t58 () (_ @t25 @t55)) % 0.39/0.55 (define @t59 () (not @t58)) % 0.39/0.55 (define @t60 () (or @t59 @t57)) % 0.39/0.55 (define @t61 () (tptp.cE @t55)) % 0.39/0.55 (define @t62 () (and @t57 @t61)) % 0.39/0.55 (define @t63 () (or @t59 @t62)) % 0.39/0.55 (define @t64 () (not @t63)) % 0.39/0.55 (define @t65 () (@list true)) % 0.39/0.55 (define @t66 () (@list @t63)) % 0.39/0.55 (define @t67 () (@list true false)) % 0.39/0.55 (define @t68 () (or @t59 @t61)) % 0.39/0.55 (define @t69 () (not @t68)) % 0.39/0.55 (assume @p1 @t15) % 0.39/0.55 (assume @p2 true) % 0.39/0.55 (step @p3 :rule refl :args (@t16)) % 0.39/0.55 (step @p4 :rule refl :args (@t2)) % 0.39/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t16))) % 0.39/0.55 (step @p6 :rule symm :premises (@p5)) % 0.39/0.55 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.39/0.55 (step @p8 :rule refl :args (@t17)) % 0.39/0.55 (step @p9 :rule refl :args (@t4)) % 0.39/0.55 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t4 @t17))) % 0.39/0.55 (step @p11 :rule symm :premises (@p10)) % 0.39/0.55 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.39/0.55 (step @p13 :rule cong :premises (@p12) :args (@t18)) % 0.39/0.55 (step @p14 :rule nary_cong :premises (@p13 @p7) :args (@t19)) % 0.39/0.55 (step @p15 :rule cong :premises (@p14) :args ((forall @t5 @t19))) % 0.39/0.55 (step @p16 :rule bool-impl-elim :args (@t4 @t2)) % 0.39/0.55 (step @p17 :rule cong :premises (@p16) :args (@t6)) % 0.39/0.55 (step @p18 :rule trans :premises (@p17 @p15)) % 0.39/0.55 (step @p19 :rule refl :args (@t20)) % 0.39/0.55 (step @p20 :rule refl :args (@t7)) % 0.39/0.55 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t7 @t20))) % 0.39/0.55 (step @p22 :rule symm :premises (@p21)) % 0.39/0.55 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.39/0.55 (step @p24 :rule nary_cong :premises (@p13 @p23) :args (@t21)) % 0.39/0.55 (step @p25 :rule cong :premises (@p24) :args ((forall @t5 @t21))) % 0.39/0.55 (step @p26 :rule bool-impl-elim :args (@t4 @t7)) % 0.39/0.55 (step @p27 :rule cong :premises (@p26) :args (@t8)) % 0.39/0.55 (step @p28 :rule trans :premises (@p27 @p25)) % 0.39/0.55 (step @p29 :rule nary_cong :premises (@p28 @p18) :args (@t9)) % 0.39/0.55 (step @p30 :rule nary_cong :premises (@p23 @p7) :args (@t10)) % 0.39/0.55 (step @p31 :rule nary_cong :premises (@p13 @p30) :args (@t22)) % 0.39/0.55 (step @p32 :rule cong :premises (@p31) :args ((forall @t5 @t22))) % 0.39/0.55 (step @p33 :rule bool-impl-elim :args (@t4 @t10)) % 0.39/0.55 (step @p34 :rule cong :premises (@p33) :args (@t11)) % 0.39/0.55 (step @p35 :rule trans :premises (@p34 @p32)) % 0.39/0.55 (step @p36 :rule cong :premises (@p35 @p29) :args (@t12)) % 0.39/0.55 (step @p37 :rule cong :premises (@p36) :args (@t14)) % 0.39/0.55 (step @p38 :rule cong :premises (@p37) :args (@t15)) % 0.39/0.55 (step @p39 :rule eq_resolve :premises (@p1 @p38)) % 0.39/0.55 (step @p40 :rule skolemize :premises (@p39)) % 0.39/0.55 (step @p41 :rule cnf_equiv_neg2 :args (@t31)) % 0.39/0.55 (assume-push @p143 @t30) % 0.39/0.55 (step @p43 :rule instantiate :premises (@p143) :args ((@list @t32))) % 0.39/0.55 (step-pop @p144 :rule scope :premises (@p43)) % 0.39/0.55 (step @p44 :rule process_scope :premises (@p144) :args (@t37)) % 0.39/0.55 (step @p46 :rule implies_elim :premises (@p44)) % 0.39/0.55 (step @p47 :rule bool-double-not-elim :args (@t35)) % 0.39/0.55 (step @p48 :rule refl :args (@t38)) % 0.39/0.55 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t38 (not @t36)))) % 0.39/0.55 (step @p50 :rule cnf_or_neg :args (@t38 0)) % 0.39/0.55 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.39/0.55 (step @p52 :rule reordering :premises (@p51) :args ((or @t35 @t38))) % 0.39/0.55 (step @p53 :rule cnf_or_neg :args (@t38 1)) % 0.39/0.55 (step @p54 :rule cnf_or_pos :args (@t37)) % 0.39/0.55 (step @p55 :rule reordering :premises (@p54) :args ((or @t36 @t34 @t39))) % 0.39/0.55 (step @p56 :rule cnf_and_pos :args (@t34 0)) % 0.39/0.55 (step @p57 :rule reordering :premises (@p56) :args ((or @t33 (not @t34)))) % 0.39/0.55 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p53 @p52) :args ((or @t38 @t39) (@list false true false) (@list @t34 @t33 @t35))) % 0.39/0.55 (step @p59 :rule refl :args (@t40)) % 0.39/0.55 (step @p60 :rule bool-double-not-elim :args (@t28)) % 0.39/0.55 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or (not @t41) @t40))) % 0.39/0.55 (assume-push @p145 @t41) % 0.39/0.55 (step @p63 :rule skolemize :premises (@p145)) % 0.39/0.55 (step-pop @p146 :rule scope :premises (@p63)) % 0.39/0.55 (step @p64 :rule process_scope :premises (@p146) :args (@t40)) % 0.39/0.55 (step @p66 :rule implies_elim :premises (@p64)) % 0.39/0.55 (step @p67 :rule eq_resolve :premises (@p66 @p61)) % 0.39/0.55 (step @p68 :rule cnf_and_neg :args (@t29)) % 0.39/0.55 (step @p69 :rule refl :args (@t47)) % 0.39/0.55 (step @p70 :rule bool-double-not-elim :args (@t27)) % 0.39/0.55 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or (not @t48) @t47))) % 0.39/0.55 (assume-push @p147 @t48) % 0.39/0.55 (step @p73 :rule skolemize :premises (@p147)) % 0.39/0.55 (step-pop @p148 :rule scope :premises (@p73)) % 0.39/0.55 (step @p74 :rule process_scope :premises (@p148) :args (@t47)) % 0.39/0.55 (step @p76 :rule implies_elim :premises (@p74)) % 0.39/0.55 (step @p77 :rule eq_resolve :premises (@p76 @p71)) % 0.39/0.55 (step @p78 :rule bool-double-not-elim :args (@t44)) % 0.39/0.55 (step @p79 :rule refl :args (@t46)) % 0.39/0.55 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t46 (not @t45)))) % 0.39/0.55 (step @p81 :rule cnf_or_neg :args (@t46 0)) % 0.39/0.55 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.39/0.55 (step @p83 :rule reordering :premises (@p82) :args ((or @t44 @t46))) % 0.39/0.55 (step @p84 :rule cnf_or_neg :args (@t46 1)) % 0.39/0.55 (step @p85 :rule cnf_and_pos :args (@t49 1)) % 0.39/0.55 (step @p86 :rule reordering :premises (@p85) :args ((or @t43 (not @t49)))) % 0.39/0.55 (assume-push @p149 @t30) % 0.39/0.55 (step @p88 :rule instantiate :premises (@p149) :args ((@list @t42))) % 0.39/0.55 (step-pop @p150 :rule scope :premises (@p88)) % 0.39/0.55 (step @p89 :rule process_scope :premises (@p150) :args (@t50)) % 0.39/0.55 (step @p91 :rule implies_elim :premises (@p89)) % 0.39/0.55 (step @p92 :rule cnf_or_pos :args (@t50)) % 0.39/0.55 (step @p93 :rule reordering :premises (@p92) :args ((or @t45 @t49 (not @t50)))) % 0.39/0.55 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p86 @p84 @p83 @p77 @p68 @p67 @p58 @p46 @p41 @p40) :args (@t51 (@list false true true false true true false false false true true) (@list @t50 @t49 @t43 @t44 @t46 @t27 @t28 @t38 @t37 @t29 @t31))) % 0.39/0.55 (step @p95 :rule cnf_equiv_neg1 :args (@t31)) % 0.39/0.55 (step @p96 :rule reordering :premises (@p95) :args ((or @t30 @t29 @t31))) % 0.39/0.55 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p40) :args (@t29 (@list true true) (@list @t30 @t31))) % 0.39/0.55 (step @p98 :rule cnf_and_pos :args (@t29 1)) % 0.39/0.55 (step @p99 :rule reordering :premises (@p98) :args ((or @t27 @t52))) % 0.39/0.55 (step @p100 :rule chain_m_resolution :premises (@p99 @p97) :args (@t27 @t53 @t54)) % 0.39/0.56 (step @p101 :rule cnf_and_pos :args (@t29 0)) % 0.39/0.56 (step @p102 :rule reordering :premises (@p101) :args ((or @t28 @t52))) % 0.39/0.56 (step @p103 :rule chain_m_resolution :premises (@p102 @p97) :args (@t28 @t53 @t54)) % 0.39/0.56 (assume-push @p151 @t28) % 0.39/0.56 (step @p105 :rule instantiate :premises (@p151) :args (@t56)) % 0.39/0.56 (step-pop @p152 :rule scope :premises (@p105)) % 0.39/0.56 (step @p106 :rule process_scope :premises (@p152) :args (@t60)) % 0.39/0.56 (step @p108 :rule implies_elim :premises (@p106)) % 0.39/0.56 (step @p109 :rule chain_m_resolution :premises (@p108 @p103) :args (@t60 @t53 (@list @t28))) % 0.39/0.56 (step @p110 :rule refl :args (@t64)) % 0.39/0.56 (step @p111 :rule bool-double-not-elim :args (@t30)) % 0.39/0.56 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or (not @t51) @t64))) % 0.39/0.56 (assume-push @p153 @t51) % 0.39/0.56 (step @p114 :rule skolemize :premises (@p153)) % 0.39/0.56 (step-pop @p154 :rule scope :premises (@p114)) % 0.39/0.56 (step @p115 :rule process_scope :premises (@p154) :args (@t64)) % 0.39/0.56 (step @p117 :rule implies_elim :premises (@p115)) % 0.39/0.56 (step @p118 :rule eq_resolve :premises (@p117 @p112)) % 0.39/0.56 (step @p119 :rule chain_m_resolution :premises (@p118 @p94) :args (@t64 @t65 (@list @t30))) % 0.39/0.56 (step @p120 :rule bool-double-not-elim :args (@t58)) % 0.39/0.56 (step @p121 :rule refl :args (@t63)) % 0.39/0.56 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t63 (not @t59)))) % 0.39/0.56 (step @p123 :rule cnf_or_neg :args (@t63 0)) % 0.39/0.56 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.39/0.56 (step @p125 :rule reordering :premises (@p124) :args ((or @t58 @t63))) % 0.39/0.56 (step @p126 :rule chain_m_resolution :premises (@p125 @p119) :args (@t58 @t65 @t66)) % 0.39/0.56 (step @p127 :rule cnf_or_pos :args (@t60)) % 0.39/0.56 (step @p128 :rule reordering :premises (@p127) :args ((or @t59 @t57 (not @t60)))) % 0.39/0.56 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p109) :args (@t57 (@list false false) (@list @t58 @t60))) % 0.39/0.56 (step @p130 :rule cnf_or_neg :args (@t63 1)) % 0.39/0.56 (step @p131 :rule chain_m_resolution :premises (@p130 @p119) :args ((not @t62) @t65 @t66)) % 0.39/0.56 (step @p132 :rule cnf_and_neg :args (@t62)) % 0.39/0.56 (step @p133 :rule chain_m_resolution :premises (@p132 @p131 @p129) :args ((not @t61) @t67 (@list @t62 @t57))) % 0.39/0.56 (step @p134 :rule cnf_or_pos :args (@t68)) % 0.39/0.56 (step @p135 :rule reordering :premises (@p134) :args ((or @t59 @t61 @t69))) % 0.39/0.56 (step @p136 :rule chain_m_resolution :premises (@p135 @p126 @p133) :args (@t69 (@list false true) (@list @t58 @t61))) % 0.39/0.56 (assume-push @p155 @t27) % 0.39/0.56 (step @p138 :rule instantiate :premises (@p155) :args (@t56)) % 0.39/0.56 (step-pop @p156 :rule scope :premises (@p138)) % 0.39/0.56 (step @p139 :rule process_scope :premises (@p156) :args (@t68)) % 0.39/0.56 (step @p141 :rule implies_elim :premises (@p139)) % 0.39/0.56 (step @p142 false :rule chain_m_resolution :premises (@p141 @p136 @p100) :args (false @t67 (@list @t68 @t27))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------