%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU920^5 : 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 : n027.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 08:53:32 AM UTC 2026 % Result : Theorem 0.53s 0.72s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU920^5 : 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 % 0.18/0.35 % Computer : n027.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 18:00:21 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.53/0.72 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.53/0.72 % SZS status Theorem % 0.53/0.72 % SZS output start Proof % 0.53/0.72 ( % 0.53/0.72 (declare-sort tptp.a 0) % 0.53/0.72 (declare-sort tptp.b 0) % 0.53/0.72 (declare-sort tptp.c 0) % 0.53/0.72 (define @t1 () (@var "Y" tptp.c)) % 0.53/0.72 (define @t2 () (@var "X" tptp.b)) % 0.53/0.72 (define @t3 () (@var "G" (-> tptp.b tptp.c))) % 0.53/0.72 (define @t4 () (_ @t3 @t2)) % 0.53/0.72 (define @t5 () (@list @t2)) % 0.53/0.72 (define @t6 () (exists @t5 (= @t4 @t1))) % 0.53/0.72 (define @t7 () (@list @t1)) % 0.53/0.72 (define @t8 () (forall @t7 @t6)) % 0.53/0.72 (define @t9 () (@var "X" tptp.a)) % 0.53/0.72 (define @t10 () (@var "F" (-> tptp.a tptp.b))) % 0.53/0.72 (define @t11 () (_ @t10 @t9)) % 0.53/0.72 (define @t12 () (_ @t3 @t11)) % 0.53/0.72 (define @t13 () (@list @t9)) % 0.53/0.72 (define @t14 () (exists @t13 (= @t12 @t1))) % 0.53/0.72 (define @t15 () (forall @t7 @t14)) % 0.53/0.72 (define @t16 () (=> @t15 @t8)) % 0.53/0.72 (define @t17 () (@list @t10 @t3)) % 0.53/0.72 (define @t18 () (forall @t17 @t16)) % 0.53/0.72 (define @t19 () (not @t18)) % 0.53/0.72 (define @t20 () (@var "BOUND_VARIABLE_7461" tptp.c)) % 0.53/0.72 (define @t21 () (_ @t3 @t2)) % 0.53/0.72 (define @t22 () (not (= @t20 @t21))) % 0.53/0.72 (define @t23 () (forall @t5 @t22)) % 0.53/0.72 (define @t24 () (not @t23)) % 0.53/0.72 (define @t25 () (_ @t10 @t9)) % 0.53/0.72 (define @t26 () (_ @t3 @t25)) % 0.53/0.72 (define @t27 () (forall @t7 (not (forall @t13 (not (= @t1 @t26)))))) % 0.53/0.72 (define @t28 () (not @t27)) % 0.53/0.72 (define @t29 () (or @t28 @t24)) % 0.53/0.72 (define @t30 () (@list @t10 @t3 @t20)) % 0.53/0.72 (define @t31 () (forall @t30 @t29)) % 0.53/0.72 (define @t32 () (@list @t20)) % 0.53/0.72 (define @t33 () (forall @t32 @t29)) % 0.53/0.72 (define @t34 () (forall @t32 @t24)) % 0.53/0.72 (define @t35 () (or @t28 @t34)) % 0.53/0.72 (define @t36 () (forall @t7 (not (forall @t5 (not (= @t1 @t21)))))) % 0.53/0.72 (define @t37 () (= @t1 @t4)) % 0.53/0.72 (define @t38 () (not @t37)) % 0.53/0.72 (define @t39 () (forall @t5 @t38)) % 0.53/0.72 (define @t40 () (not @t39)) % 0.53/0.72 (define @t41 () (= @t1 @t12)) % 0.53/0.72 (define @t42 () (not @t41)) % 0.53/0.72 (define @t43 () (forall @t13 @t42)) % 0.53/0.72 (define @t44 () (not @t43)) % 0.53/0.72 (define @t45 () (forall @t30 (or @t28 (not (forall @t5 (not (= @t21 @t20))))))) % 0.53/0.72 (define @t46 () (@quantifiers_skolemize @t45 1)) % 0.53/0.72 (define @t47 () (_ @t46 @t2)) % 0.53/0.72 (define @t48 () (@quantifiers_skolemize @t45 2)) % 0.53/0.72 (define @t49 () (forall @t5 (not (= @t48 @t47)))) % 0.53/0.72 (define @t50 () (not @t49)) % 0.53/0.72 (define @t51 () (@quantifiers_skolemize @t45 0)) % 0.53/0.72 (define @t52 () (_ @t46 (_ @t51 @t9))) % 0.53/0.72 (define @t53 () (forall @t7 (not (forall @t13 (not (= @t1 @t52)))))) % 0.53/0.72 (define @t54 () (not @t53)) % 0.53/0.72 (define @t55 () (or @t54 @t50)) % 0.53/0.72 (define @t56 () (not @t55)) % 0.53/0.72 (define @t57 () (not @t45)) % 0.53/0.72 (define @t58 () (not (= @t47 @t48))) % 0.53/0.72 (define @t59 () (forall @t5 @t58)) % 0.53/0.72 (define @t60 () (not @t59)) % 0.53/0.72 (define @t61 () (or @t54 @t60)) % 0.53/0.72 (define @t62 () (not @t61)) % 0.53/0.72 (define @t63 () (@list true)) % 0.53/0.72 (define @t64 () (@list @t55)) % 0.53/0.72 (define @t65 () (forall @t13 (not (= @t48 @t52)))) % 0.53/0.72 (define @t66 () (_ @t51 (@quantifiers_skolemize @t65 0))) % 0.53/0.72 (define @t67 () (= @t48 (_ @t46 @t66))) % 0.53/0.72 (define @t68 () (not @t65)) % 0.53/0.72 (define @t69 () (not @t67)) % 0.53/0.72 (define @t70 () (not @t69)) % 0.53/0.72 (assume @p1 @t19) % 0.53/0.72 (assume @p2 true) % 0.53/0.72 (step @p3 :rule eq-symm :args (@t20 @t21)) % 0.53/0.72 (step @p4 :rule cong :premises (@p3) :args (@t22)) % 0.53/0.72 (step @p5 :rule cong :premises (@p4) :args (@t23)) % 0.53/0.72 (step @p6 :rule cong :premises (@p5) :args (@t24)) % 0.53/0.72 (step @p7 :rule refl :args (@t28)) % 0.53/0.72 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t29)) % 0.53/0.72 (step @p9 :rule cong :premises (@p8) :args (@t31)) % 0.53/0.72 (step @p10 :rule quant-merge-prenex :args ((= (forall @t17 @t33) @t31))) % 0.53/0.72 (step @p11 :rule alpha_equiv :args (@t34 (@list @t20) (@list @t1))) % 0.53/0.72 (step @p12 :rule refl :args (@t28)) % 0.53/0.72 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t35)) % 0.53/0.72 (step @p14 :rule quant-miniscope-or :args ((= @t33 @t35))) % 0.53/0.72 (step @p15 :rule trans :premises (@p14 @p13)) % 0.53/0.72 (step @p16 :rule symm :premises (@p15)) % 0.53/0.72 (step @p17 :rule cong :premises (@p16) :args ((forall @t17 (or @t28 @t36)))) % 0.53/0.72 (step @p18 :rule trans :premises (@p17 @p10)) % 0.53/0.72 (step @p19 :rule trans :premises (@p18 @p9)) % 0.53/0.72 (step @p20 :rule bool-impl-elim :args (@t27 @t36)) % 0.53/0.72 (step @p21 :rule cong :premises (@p20) :args ((forall @t17 (=> @t27 @t36)))) % 0.53/0.72 (step @p22 :rule trans :premises (@p21 @p19)) % 0.53/0.72 (step @p23 :rule refl :args (@t21)) % 0.53/0.72 (step @p24 :rule refl :args (@t4)) % 0.53/0.72 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t4 @t21))) % 0.53/0.72 (step @p26 :rule symm :premises (@p25)) % 0.53/0.72 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.53/0.72 (step @p28 :rule refl :args (@t1)) % 0.53/0.72 (step @p29 :rule cong :premises (@p28 @p27) :args (@t37)) % 0.53/0.72 (step @p30 :rule cong :premises (@p29) :args (@t38)) % 0.53/0.72 (step @p31 :rule cong :premises (@p30) :args (@t39)) % 0.53/0.72 (step @p32 :rule cong :premises (@p31) :args (@t40)) % 0.53/0.72 (step @p33 :rule exists-elim :args ((= (exists @t5 @t37) @t40))) % 0.53/0.72 (step @p34 :rule trans :premises (@p33 @p32)) % 0.53/0.72 (step @p35 :rule eq-symm :args (@t4 @t1)) % 0.53/0.72 (step @p36 :rule cong :premises (@p35) :args (@t6)) % 0.53/0.72 (step @p37 :rule trans :premises (@p36 @p34)) % 0.53/0.72 (step @p38 :rule cong :premises (@p37) :args (@t8)) % 0.53/0.72 (step @p39 :rule refl :args ((_ @t3 @t11))) % 0.53/0.72 (step @p40 :rule refl :args (@t25)) % 0.53/0.72 (step @p41 :rule cong :premises (@p40) :args (@t26)) % 0.53/0.72 (step @p42 :rule trans :premises (@p41 @p39)) % 0.53/0.72 (step @p43 :rule refl :args (@t3)) % 0.53/0.72 (step @p44 :rule ho_cong :premises (@p43 @p40)) % 0.53/0.72 (step @p45 :rule cong :premises (@p44 @p42) :args ((= (_ @t3 @t25) @t26))) % 0.53/0.72 (step @p46 :rule symm :premises (@p45)) % 0.53/0.72 (step @p47 :rule refl :args (@t12)) % 0.53/0.72 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.53/0.72 (step @p49 :rule refl :args (@t11)) % 0.53/0.72 (step @p50 :rule cong :premises (@p49 @p40) :args ((= @t11 @t25))) % 0.53/0.72 (step @p51 :rule symm :premises (@p50)) % 0.53/0.72 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.53/0.72 (step @p53 :rule ho_cong :premises (@p43 @p52)) % 0.53/0.72 (step @p54 :rule trans :premises (@p53 @p48)) % 0.53/0.72 (step @p55 :rule cong :premises (@p28 @p54) :args (@t41)) % 0.53/0.72 (step @p56 :rule cong :premises (@p55) :args (@t42)) % 0.53/0.72 (step @p57 :rule cong :premises (@p56) :args (@t43)) % 0.53/0.72 (step @p58 :rule cong :premises (@p57) :args (@t44)) % 0.53/0.72 (step @p59 :rule exists-elim :args ((= (exists @t13 @t41) @t44))) % 0.53/0.72 (step @p60 :rule trans :premises (@p59 @p58)) % 0.53/0.72 (step @p61 :rule eq-symm :args (@t12 @t1)) % 0.53/0.72 (step @p62 :rule cong :premises (@p61) :args (@t14)) % 0.53/0.72 (step @p63 :rule trans :premises (@p62 @p60)) % 0.53/0.72 (step @p64 :rule cong :premises (@p63) :args (@t15)) % 0.53/0.72 (step @p65 :rule cong :premises (@p64 @p38) :args (@t16)) % 0.53/0.72 (step @p66 :rule cong :premises (@p65) :args (@t18)) % 0.53/0.72 (step @p67 :rule trans :premises (@p66 @p22)) % 0.53/0.72 (step @p68 :rule cong :premises (@p67) :args (@t19)) % 0.53/0.72 (step @p69 :rule eq_resolve :premises (@p1 @p68)) % 0.53/0.72 (step @p70 :rule refl :args (@t56)) % 0.53/0.72 (step @p71 :rule bool-double-not-elim :args (@t45)) % 0.53/0.72 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or (not @t57) @t56))) % 0.53/0.72 (step @p73 :rule eq-symm :args (@t47 @t48)) % 0.53/0.72 (step @p74 :rule cong :premises (@p73) :args (@t58)) % 0.53/0.72 (step @p75 :rule cong :premises (@p74) :args (@t59)) % 0.53/0.72 (step @p76 :rule cong :premises (@p75) :args (@t60)) % 0.53/0.72 (step @p77 :rule refl :args (@t54)) % 0.53/0.72 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t61)) % 0.53/0.72 (step @p79 :rule cong :premises (@p78) :args (@t62)) % 0.53/0.72 (step @p80 :rule refl :args (@t57)) % 0.53/0.72 (step @p81 :rule cong :premises (@p80 @p79) :args ((=> @t57 @t62))) % 0.53/0.72 (assume-push @p124 @t57) % 0.53/0.72 (step @p83 :rule skolemize :premises (@p69)) % 0.53/0.72 (step-pop @p125 :rule scope :premises (@p83)) % 0.53/0.72 (step @p84 :rule process_scope :premises (@p125) :args (@t62)) % 0.53/0.72 (step @p86 :rule eq_resolve :premises (@p84 @p81)) % 0.53/0.72 (step @p87 :rule implies_elim :premises (@p86)) % 0.53/0.72 (step @p88 :rule eq_resolve :premises (@p87 @p72)) % 0.53/0.72 (step @p89 :rule chain_m_resolution :premises (@p88 @p69) :args (@t56 @t63 (@list @t45))) % 0.53/0.72 (step @p90 :rule bool-double-not-elim :args (@t49)) % 0.53/0.72 (step @p91 :rule refl :args (@t55)) % 0.53/0.72 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t55 (not @t50)))) % 0.53/0.72 (step @p93 :rule cnf_or_neg :args (@t55 1)) % 0.53/0.72 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.53/0.72 (step @p95 :rule reordering :premises (@p94) :args ((or @t49 @t55))) % 0.53/0.72 (step @p96 :rule chain_m_resolution :premises (@p95 @p89) :args (@t49 @t63 @t64)) % 0.53/0.72 (step @p97 :rule bool-double-not-elim :args (@t53)) % 0.53/0.72 (step @p98 :rule nary_cong :premises (@p91 @p97) :args ((or @t55 (not @t54)))) % 0.53/0.72 (step @p99 :rule cnf_or_neg :args (@t55 0)) % 0.53/0.72 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.53/0.72 (step @p101 :rule reordering :premises (@p100) :args ((or @t53 @t55))) % 0.53/0.72 (step @p102 :rule chain_m_resolution :premises (@p101 @p89) :args (@t53 @t63 @t64)) % 0.53/0.72 (step @p103 :rule instantiate :premises (@p102) :args ((@list @t48))) % 0.53/0.72 (step @p104 :rule refl :args (@t67)) % 0.53/0.73 (step @p105 :rule bool-double-not-elim :args (@t65)) % 0.53/0.73 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or (not @t68) @t67))) % 0.53/0.73 (step @p107 :rule bool-double-not-elim :args (@t67)) % 0.53/0.73 (step @p108 :rule refl :args (@t68)) % 0.53/0.73 (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t68 @t70))) % 0.53/0.73 (assume-push @p126 @t68) % 0.53/0.73 (step @p111 :rule skolemize :premises (@p103)) % 0.53/0.73 (step-pop @p127 :rule scope :premises (@p111)) % 0.53/0.73 (step @p112 :rule process_scope :premises (@p127) :args (@t70)) % 0.53/0.73 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 0.53/0.73 (step @p115 :rule implies_elim :premises (@p114)) % 0.53/0.73 (step @p116 :rule eq_resolve :premises (@p115 @p106)) % 0.53/0.73 (step @p117 :rule chain_m_resolution :premises (@p116 @p103) :args (@t67 @t63 (@list @t65))) % 0.53/0.73 (assume-push @p128 @t49) % 0.53/0.73 (step @p119 :rule instantiate :premises (@p96) :args ((@list @t66))) % 0.53/0.73 (step-pop @p129 :rule scope :premises (@p119)) % 0.53/0.73 (step @p120 :rule process_scope :premises (@p129) :args (@t69)) % 0.53/0.73 (step @p122 :rule implies_elim :premises (@p120)) % 0.53/0.73 (step @p123 false :rule chain_m_resolution :premises (@p122 @p117 @p96) :args (false (@list false false) (@list @t67 @t49))) % 0.53/0.73 ) % 0.53/0.73 % SZS output end Proof % 0.53/0.73 % cvc5 exiting %------------------------------------------------------------------------------