%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV396^5 : 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 : n026.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 08:55:54 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV396^5 : 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 % 0.15/0.34 % Computer : n026.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 18:31:55 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.31/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.cS (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.cR (-> $$unsorted Bool)) % 0.31/0.55 (define @t1 () (@var "Xx" $$unsorted)) % 0.31/0.55 (define @t2 () (_ tptp.cS @t1)) % 0.31/0.55 (define @t3 () (_ tptp.cR @t1)) % 0.31/0.55 (define @t4 () (@list @t1)) % 0.31/0.55 (define @t5 () (lambda @t4 (and @t3 @t2))) % 0.31/0.55 (define @t6 () (forall @t4 (=> @t3 @t2))) % 0.31/0.55 (define @t7 () (= @t6 (= @t5 tptp.cR))) % 0.31/0.55 (define @t8 () (not @t7)) % 0.31/0.55 (define @t9 () (@purify @t5)) % 0.31/0.55 (define @t10 () (= tptp.cR @t5)) % 0.31/0.55 (define @t11 () (tptp.cS @t1)) % 0.31/0.55 (define @t12 () (tptp.cR @t1)) % 0.31/0.55 (define @t13 () (forall @t4 (or (not @t12) @t11))) % 0.31/0.55 (define @t14 () (= @t13 @t10)) % 0.31/0.55 (define @t15 () (not @t3)) % 0.31/0.55 (define @t16 () (or @t15 @t2)) % 0.31/0.55 (define @t17 () (@const 0 $$unsorted)) % 0.31/0.55 (define @t18 () (tptp.cS @t17)) % 0.31/0.55 (define @t19 () (_ tptp.cS @t17)) % 0.31/0.55 (define @t20 () (tptp.cR @t17)) % 0.31/0.55 (define @t21 () (_ tptp.cR @t17)) % 0.31/0.55 (define @t22 () (and @t21 @t19)) % 0.31/0.55 (define @t23 () (= (_ @t5 @t17) @t22)) % 0.31/0.55 (define @t24 () (_ @t9 @t17)) % 0.31/0.55 (define @t25 () (= @t20 @t24)) % 0.31/0.55 (define @t26 () (not @t25)) % 0.31/0.55 (define @t27 () (= tptp.cR @t9)) % 0.31/0.55 (define @t28 () (or @t27 @t26)) % 0.31/0.55 (define @t29 () (not @t20)) % 0.31/0.55 (define @t30 () (or @t29 @t18)) % 0.31/0.55 (define @t31 () (and @t20 @t18)) % 0.31/0.55 (define @t32 () (= @t20 @t31)) % 0.31/0.55 (define @t33 () (not @t30)) % 0.31/0.55 (define @t34 () (not @t13)) % 0.31/0.55 (define @t35 () (@quantifiers_skolemize @t13 0)) % 0.31/0.55 (define @t36 () (tptp.cS @t35)) % 0.31/0.55 (define @t37 () (tptp.cR @t35)) % 0.31/0.55 (define @t38 () (not @t37)) % 0.31/0.55 (define @t39 () (or @t38 @t36)) % 0.31/0.55 (define @t40 () (not @t39)) % 0.31/0.55 (define @t41 () (@list true)) % 0.31/0.55 (define @t42 () (@list @t13)) % 0.31/0.55 (define @t43 () (@list @t39)) % 0.31/0.55 (define @t44 () (and @t37 @t36)) % 0.31/0.55 (define @t45 () (not @t44)) % 0.31/0.55 (define @t46 () (_ tptp.cS @t35)) % 0.31/0.55 (define @t47 () (_ tptp.cR @t35)) % 0.31/0.55 (define @t48 () (and @t47 @t46)) % 0.31/0.55 (define @t49 () (= @t37 @t48)) % 0.31/0.55 (define @t50 () (=> @t27 @t49)) % 0.31/0.55 (define @t51 () (= @t37 @t44)) % 0.31/0.55 (assume @p1 @t8) % 0.31/0.55 (assume @p2 true) % 0.31/0.55 (step @p3 :rule eq-refl :args (@t5)) % 0.31/0.55 (step @p4 :rule skolem_intro :args (@t9)) % 0.31/0.55 (step @p5 :rule refl :args (@t5)) % 0.31/0.55 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t5 @t9))) % 0.31/0.55 (step @p7 :rule trans :premises (@p6 @p3)) % 0.31/0.55 (step @p8 :rule true_elim :premises (@p7)) % 0.31/0.55 (step @p9 :rule refl :args (tptp.cR)) % 0.31/0.55 (step @p10 :rule cong :premises (@p9 @p8) :args (@t10)) % 0.31/0.55 (step @p11 :rule refl :args (@t13)) % 0.31/0.55 (step @p12 :rule cong :premises (@p11 @p10) :args (@t14)) % 0.31/0.55 (step @p13 :rule cong :premises (@p12) :args ((not @t14))) % 0.31/0.55 (step @p14 :rule eq-symm :args (@t5 tptp.cR)) % 0.31/0.55 (step @p15 :rule refl :args (@t11)) % 0.31/0.55 (step @p16 :rule refl :args (@t2)) % 0.31/0.55 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t2 @t11))) % 0.31/0.55 (step @p18 :rule symm :premises (@p17)) % 0.31/0.55 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.31/0.55 (step @p20 :rule refl :args (@t12)) % 0.31/0.55 (step @p21 :rule refl :args (@t3)) % 0.31/0.55 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t3 @t12))) % 0.31/0.55 (step @p23 :rule symm :premises (@p22)) % 0.31/0.55 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.31/0.55 (step @p25 :rule cong :premises (@p24) :args (@t15)) % 0.31/0.55 (step @p26 :rule nary_cong :premises (@p25 @p19) :args (@t16)) % 0.31/0.55 (step @p27 :rule cong :premises (@p26) :args ((forall @t4 @t16))) % 0.31/0.55 (step @p28 :rule bool-impl-elim :args (@t3 @t2)) % 0.31/0.55 (step @p29 :rule cong :premises (@p28) :args (@t6)) % 0.31/0.55 (step @p30 :rule trans :premises (@p29 @p27)) % 0.31/0.55 (step @p31 :rule cong :premises (@p30 @p14) :args (@t7)) % 0.31/0.55 (step @p32 :rule cong :premises (@p31) :args (@t8)) % 0.31/0.55 (step @p33 :rule trans :premises (@p32 @p13)) % 0.31/0.55 (step @p34 :rule eq_resolve :premises (@p1 @p33)) % 0.31/0.55 (step @p35 :rule not_equiv_elim2 :premises (@p34)) % 0.31/0.55 (step @p36 :rule refl :args (@t18)) % 0.31/0.55 (step @p37 :rule refl :args (@t19)) % 0.31/0.55 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t19 @t18))) % 0.31/0.55 (step @p39 :rule symm :premises (@p38)) % 0.31/0.55 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.31/0.55 (step @p41 :rule refl :args (@t20)) % 0.31/0.55 (step @p42 :rule refl :args (@t21)) % 0.31/0.55 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t21 @t20))) % 0.31/0.55 (step @p44 :rule symm :premises (@p43)) % 0.31/0.55 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.31/0.55 (step @p46 :rule nary_cong :premises (@p45 @p40) :args (@t22)) % 0.31/0.55 (step @p47 :rule eq-refl :args (@t22)) % 0.31/0.55 (step @p48 :rule refl :args (@t22)) % 0.31/0.55 (step @p49 :rule beta-reduce :args (@t23)) % 0.31/0.55 (step @p50 :rule cong :premises (@p49 @p48) :args (@t23)) % 0.31/0.55 (step @p51 :rule trans :premises (@p50 @p47)) % 0.31/0.55 (step @p52 :rule refl :args (@t17)) % 0.31/0.55 (step @p53 :rule ho_cong :premises (@p4 @p52)) % 0.31/0.55 (step @p54 :rule cong :premises (@p53 @p48) :args ((= @t24 @t22))) % 0.31/0.55 (step @p55 :rule trans :premises (@p54 @p51)) % 0.31/0.55 (step @p56 :rule true_elim :premises (@p55)) % 0.31/0.55 (step @p57 :rule trans :premises (@p56 @p46)) % 0.31/0.55 (step @p58 :rule refl :args (@t20)) % 0.31/0.55 (step @p59 :rule cong :premises (@p58 @p57) :args (@t25)) % 0.31/0.55 (step @p60 :rule cong :premises (@p59) :args (@t26)) % 0.31/0.55 (step @p61 :rule refl :args (@t27)) % 0.31/0.55 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t28)) % 0.31/0.55 ; WARNING: add trust step for TRUST % 0.31/0.55 ; trust TRUST THEORY_LEMMA % 0.31/0.55 (step @p63 :rule trust :premises () :args (@t28)) % 0.31/0.55 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.31/0.55 (assume-push @p125 @t13) % 0.31/0.55 (step @p66 :rule instantiate :premises (@p125) :args ((@list @t17))) % 0.31/0.55 (step-pop @p126 :rule scope :premises (@p66)) % 0.31/0.55 (step @p67 :rule process_scope :premises (@p126) :args (@t30)) % 0.31/0.55 (step @p69 :rule implies_elim :premises (@p67)) % 0.31/0.55 (step @p70 :rule cnf_equiv_neg2 :args (@t32)) % 0.31/0.55 (step @p71 :rule cnf_or_pos :args (@t30)) % 0.31/0.55 (step @p72 :rule reordering :premises (@p71) :args ((or @t18 @t29 @t33))) % 0.31/0.55 (step @p73 :rule cnf_and_neg :args (@t31)) % 0.31/0.55 (step @p74 :rule chain_m_resolution :premises (@p73 @p72 @p70) :args ((or @t32 @t29 @t33) (@list false true) (@list @t18 @t31))) % 0.31/0.55 (step @p75 :rule cnf_and_pos :args (@t31 0)) % 0.31/0.55 (step @p76 :rule reordering :premises (@p75) :args ((or @t20 (not @t31)))) % 0.31/0.55 (step @p77 :rule cnf_equiv_neg1 :args (@t32)) % 0.31/0.55 (step @p78 :rule reordering :premises (@p77) :args ((or @t20 @t31 @t32))) % 0.31/0.55 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p74 @p69 @p64 @p35) :args (@t34 (@list true true false true true) (@list @t31 @t20 @t30 @t32 @t27))) % 0.31/0.55 (step @p80 :rule refl :args (@t40)) % 0.31/0.55 (step @p81 :rule bool-double-not-elim :args (@t13)) % 0.31/0.55 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or (not @t34) @t40))) % 0.31/0.55 (assume-push @p127 @t34) % 0.31/0.55 (step @p84 :rule skolemize :premises (@p127)) % 0.31/0.55 (step-pop @p128 :rule scope :premises (@p84)) % 0.31/0.55 (step @p85 :rule process_scope :premises (@p128) :args (@t40)) % 0.31/0.55 (step @p87 :rule implies_elim :premises (@p85)) % 0.31/0.55 (step @p88 :rule eq_resolve :premises (@p87 @p82)) % 0.31/0.55 (step @p89 :rule chain_m_resolution :premises (@p88 @p79) :args (@t40 @t41 @t42)) % 0.31/0.55 (step @p90 :rule bool-double-not-elim :args (@t37)) % 0.31/0.55 (step @p91 :rule refl :args (@t39)) % 0.31/0.55 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t39 (not @t38)))) % 0.31/0.55 (step @p93 :rule cnf_or_neg :args (@t39 0)) % 0.31/0.55 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.31/0.55 (step @p95 :rule reordering :premises (@p94) :args ((or @t37 @t39))) % 0.31/0.55 (step @p96 :rule chain_m_resolution :premises (@p95 @p89) :args (@t37 @t41 @t43)) % 0.31/0.55 (step @p97 :rule cnf_or_neg :args (@t39 1)) % 0.31/0.55 (step @p98 :rule chain_m_resolution :premises (@p97 @p89) :args ((not @t36) @t41 @t43)) % 0.31/0.55 (step @p99 :rule cnf_and_pos :args (@t44 1)) % 0.31/0.55 (step @p100 :rule reordering :premises (@p99) :args ((or @t36 @t45))) % 0.31/0.55 (step @p101 :rule chain_m_resolution :premises (@p100 @p98) :args (@t45 @t41 (@list @t36))) % 0.31/0.55 (step @p102 :rule not_equiv_elim1 :premises (@p34)) % 0.31/0.55 (step @p103 :rule chain_m_resolution :premises (@p102 @p79) :args (@t27 @t41 @t42)) % 0.31/0.55 (step @p104 :rule refl :args (@t36)) % 0.31/0.55 (step @p105 :rule refl :args (@t46)) % 0.31/0.55 (step @p106 :rule cong :premises (@p105 @p104) :args ((= @t46 @t36))) % 0.31/0.55 (step @p107 :rule symm :premises (@p106)) % 0.31/0.55 (step @p108 :rule eq_resolve :premises (@p105 @p107)) % 0.31/0.55 (step @p109 :rule refl :args (@t37)) % 0.31/0.55 (step @p110 :rule refl :args (@t47)) % 0.31/0.55 (step @p111 :rule cong :premises (@p110 @p109) :args ((= @t47 @t37))) % 0.31/0.55 (step @p112 :rule symm :premises (@p111)) % 0.31/0.55 (step @p113 :rule eq_resolve :premises (@p110 @p112)) % 0.31/0.55 (step @p114 :rule nary_cong :premises (@p113 @p108) :args (@t48)) % 0.31/0.55 (step @p115 :rule refl :args (@t37)) % 0.31/0.55 (step @p116 :rule cong :premises (@p115 @p114) :args (@t49)) % 0.31/0.55 (step @p117 :rule cong :premises (@p61 @p116) :args (@t50)) % 0.31/0.55 ; trust TRUST THEORY_LEMMA % 0.31/0.55 (step @p118 :rule trust :premises () :args (@t50)) % 0.31/0.55 (step @p119 :rule eq_resolve :premises (@p118 @p117)) % 0.31/0.55 (step @p120 :rule implies_elim :premises (@p119)) % 0.31/0.55 (step @p121 :rule chain_m_resolution :premises (@p120 @p103) :args (@t51 (@list false) (@list @t27))) % 0.31/0.55 (step @p122 :rule cnf_equiv_pos1 :args (@t51)) % 0.31/0.55 (step @p123 :rule reordering :premises (@p122) :args ((or @t38 @t44 (not @t51)))) % 0.31/0.55 (step @p124 false :rule chain_m_resolution :premises (@p123 @p121 @p101 @p96) :args (false (@list false true false) (@list @t51 @t44 @t37))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------