%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO209^5 : 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 : n002.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 09:12:14 AM UTC 2026 % Result : Theorem 9.88s 10.12s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO209^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 00:00:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 9.88/10.12 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 9.88/10.12 % SZS status Theorem % 9.88/10.12 % SZS output start Proof % 9.88/10.12 ( % 9.88/10.12 (declare-sort tptp.a 0) % 9.88/10.12 (define @t1 () (@var "Xf" (-> tptp.a Bool))) % 9.88/10.12 (define @t2 () (@var "Xp" (-> (-> tptp.a Bool) Bool))) % 9.88/10.12 (define @t3 () (_ @t2 @t1)) % 9.88/10.12 (define @t4 () (@var "Xj" tptp.a)) % 9.88/10.12 (define @t5 () (@var "Xg" (-> tptp.a tptp.a Bool))) % 9.88/10.12 (define @t6 () (_ @t5 @t4)) % 9.88/10.12 (define @t7 () (_ @t2 @t6)) % 9.88/10.12 (define @t8 () (@list @t2)) % 9.88/10.12 (define @t9 () (forall @t8 (=> @t7 @t3))) % 9.88/10.12 (define @t10 () (@list @t4)) % 9.88/10.12 (define @t11 () (exists @t10 @t9)) % 9.88/10.12 (define @t12 () (@list @t1)) % 9.88/10.12 (define @t13 () (forall @t12 @t11)) % 9.88/10.12 (define @t14 () (@list @t5)) % 9.88/10.12 (define @t15 () (exists @t14 @t13)) % 9.88/10.12 (define @t16 () (_ @t2 @t1)) % 9.88/10.12 (define @t17 () (_ @t2 @t6)) % 9.88/10.12 (define @t18 () (forall @t8 (or (not @t17) @t16))) % 9.88/10.12 (define @t19 () (not (forall @t10 (not @t18)))) % 9.88/10.12 (define @t20 () (forall @t12 @t19)) % 9.88/10.12 (define @t21 () (forall @t14 (not @t20))) % 9.88/10.12 (define @t22 () (not @t21)) % 9.88/10.12 (define @t23 () (not @t7)) % 9.88/10.12 (define @t24 () (or @t23 @t3)) % 9.88/10.12 (define @t25 () (@quantifiers_skolemize @t21 0)) % 9.88/10.12 (define @t26 () (not (_ @t2 (_ @t25 @t4)))) % 9.88/10.12 (define @t27 () (forall @t12 (not (forall @t10 (not (forall @t8 (or @t26 @t16))))))) % 9.88/10.12 (define @t28 () (not (not @t27))) % 9.88/10.12 (define @t29 () (@list true)) % 9.88/10.12 (define @t30 () (@var "BOUND_VARIABLE_14649" tptp.a)) % 9.88/10.12 (define @t31 () (lambda (@list @t30) (not (_ @t25 @t30 @t30)))) % 9.88/10.12 (define @t32 () (_ @t2 @t31)) % 9.88/10.12 (define @t33 () (forall @t10 (not (forall @t8 (or @t26 @t32))))) % 9.88/10.12 (define @t34 () (@quantifiers_skolemize @t33 0)) % 9.88/10.12 (define @t35 () (_ @t25 @t34)) % 9.88/10.12 (define @t36 () (forall @t8 (or (not (_ @t2 @t35)) @t32))) % 9.88/10.12 (define @t37 () (not @t33)) % 9.88/10.12 (define @t38 () (not (not @t36))) % 9.88/10.12 (define @t39 () (_ @t25 @t34 @t34)) % 9.88/10.12 (define @t40 () (_ @t35 @t34)) % 9.88/10.12 (define @t41 () (or @t40 @t39)) % 9.88/10.12 (define @t42 () (not @t39)) % 9.88/10.12 (define @t43 () (_ @t31 @t34)) % 9.88/10.12 (define @t44 () (not @t43)) % 9.88/10.12 (define @t45 () (@var "BOUND_VARIABLE_2162048" (-> tptp.a Bool))) % 9.88/10.12 (define @t46 () (_ @t45 @t34)) % 9.88/10.12 (define @t47 () (@list @t45)) % 9.88/10.12 (define @t48 () (lambda @t47 (not @t46))) % 9.88/10.12 (define @t49 () (_ @t48 @t31)) % 9.88/10.12 (define @t50 () (_ @t35 @t34)) % 9.88/10.12 (define @t51 () (not @t50)) % 9.88/10.12 (define @t52 () (_ @t48 @t35)) % 9.88/10.12 (define @t53 () (not @t52)) % 9.88/10.12 (define @t54 () (or @t53 @t49)) % 9.88/10.12 (define @t55 () (not @t40)) % 9.88/10.12 (define @t56 () (or @t55 @t42)) % 9.88/10.12 (define @t57 () (lambda @t47 @t46)) % 9.88/10.12 (define @t58 () (_ @t57 @t31)) % 9.88/10.12 (define @t59 () (_ @t57 @t35)) % 9.88/10.12 (define @t60 () (not @t59)) % 9.88/10.12 (define @t61 () (or @t60 @t58)) % 9.88/10.12 (assume @p1 (not (not @t15))) % 9.88/10.12 (assume @p2 true) % 9.88/10.12 (step @p3 :rule exists-elim :args ((= (exists @t14 @t20) @t22))) % 9.88/10.12 (step @p4 :rule exists-elim :args ((= (exists @t10 @t18) @t19))) % 9.88/10.12 (step @p5 :rule refl :args (@t16)) % 9.88/10.12 (step @p6 :rule refl :args (@t3)) % 9.88/10.12 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t3 @t16))) % 9.88/10.12 (step @p8 :rule symm :premises (@p7)) % 9.88/10.12 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 9.88/10.12 (step @p10 :rule refl :args (@t17)) % 9.88/10.12 (step @p11 :rule refl :args (@t7)) % 9.88/10.12 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t7 @t17))) % 9.88/10.12 (step @p13 :rule symm :premises (@p12)) % 9.88/10.12 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 9.88/10.12 (step @p15 :rule cong :premises (@p14) :args (@t23)) % 9.88/10.12 (step @p16 :rule nary_cong :premises (@p15 @p9) :args (@t24)) % 9.88/10.12 (step @p17 :rule cong :premises (@p16) :args ((forall @t8 @t24))) % 9.88/10.12 (step @p18 :rule bool-impl-elim :args (@t7 @t3)) % 9.88/10.12 (step @p19 :rule cong :premises (@p18) :args (@t9)) % 9.88/10.12 (step @p20 :rule trans :premises (@p19 @p17)) % 9.88/10.12 (step @p21 :rule cong :premises (@p20) :args (@t11)) % 9.88/10.12 (step @p22 :rule trans :premises (@p21 @p4)) % 9.88/10.12 (step @p23 :rule cong :premises (@p22) :args (@t13)) % 9.88/10.12 (step @p24 :rule cong :premises (@p23) :args (@t15)) % 9.88/10.12 (step @p25 :rule trans :premises (@p24 @p3)) % 9.88/10.12 (step @p26 :rule bool-double-not-elim :args (@t15)) % 9.88/10.12 (step @p27 :rule trans :premises (@p26 @p25)) % 9.88/10.12 (step @p28 :rule eq_resolve :premises (@p1 @p27)) % 9.88/10.12 (step @p29 :rule refl :args (@t27)) % 9.88/10.12 (step @p30 :rule bool-double-not-elim :args (@t21)) % 9.88/10.12 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or (not @t22) @t27))) % 9.88/10.12 (step @p32 :rule bool-double-not-elim :args (@t27)) % 9.88/10.12 (step @p33 :rule refl :args (@t22)) % 9.88/10.12 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t22 @t28))) % 9.88/10.12 (assume-push @p112 @t22) % 9.88/10.12 (step @p36 :rule skolemize :premises (@p28)) % 9.88/10.12 (step-pop @p113 :rule scope :premises (@p36)) % 9.88/10.12 (step @p37 :rule process_scope :premises (@p113) :args (@t28)) % 9.88/10.12 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 9.88/10.12 (step @p40 :rule implies_elim :premises (@p39)) % 9.88/10.12 (step @p41 :rule eq_resolve :premises (@p40 @p31)) % 9.88/10.12 (step @p42 :rule chain_m_resolution :premises (@p41 @p28) :args (@t27 @t29 (@list @t21))) % 9.88/10.12 (step @p43 :rule instantiate :premises (@p42) :args ((@list @t31))) % 9.88/10.12 (step @p44 :rule refl :args (@t36)) % 9.88/10.12 (step @p45 :rule bool-double-not-elim :args (@t33)) % 9.88/10.12 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or (not @t37) @t36))) % 9.88/10.12 (step @p47 :rule bool-double-not-elim :args (@t36)) % 9.88/10.12 (step @p48 :rule refl :args (@t37)) % 9.88/10.12 (step @p49 :rule cong :premises (@p48 @p47) :args ((=> @t37 @t38))) % 9.88/10.12 (assume-push @p114 @t37) % 9.88/10.12 (step @p51 :rule skolemize :premises (@p43)) % 9.88/10.12 (step-pop @p115 :rule scope :premises (@p51)) % 9.88/10.12 (step @p52 :rule process_scope :premises (@p115) :args (@t38)) % 9.88/10.12 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 9.88/10.12 (step @p55 :rule implies_elim :premises (@p54)) % 9.88/10.12 (step @p56 :rule eq_resolve :premises (@p55 @p46)) % 9.88/10.12 (step @p57 :rule chain_m_resolution :premises (@p56 @p43) :args (@t36 @t29 (@list @t33))) % 9.88/10.12 (step @p58 :rule aci_norm :args ((= (or @t39 @t39) @t39))) % 9.88/10.12 (step @p59 :rule refl :args (@t39)) % 9.88/10.12 (step @p60 :rule refl :args (@t39)) % 9.88/10.12 (step @p61 :rule refl :args (@t40)) % 9.88/10.12 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t40 @t39))) % 9.88/10.12 (step @p63 :rule symm :premises (@p62)) % 9.88/10.12 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 9.88/10.12 (step @p65 :rule nary_cong :premises (@p64 @p59) :args (@t41)) % 9.88/10.12 (step @p66 :rule trans :premises (@p65 @p58)) % 9.88/10.12 (step @p67 :rule cong :premises (@p44 @p66) :args ((=> @t36 @t41))) % 9.88/10.12 (step @p68 :rule bool-double-not-elim :args (@t39)) % 9.88/10.12 (step @p69 :rule beta-reduce :args ((= @t43 @t42))) % 9.88/10.12 (step @p70 :rule cong :premises (@p69) :args (@t44)) % 9.88/10.12 (step @p71 :rule trans :premises (@p70 @p68)) % 9.88/10.12 (step @p72 :rule beta-reduce :args ((= @t49 @t44))) % 9.88/10.12 (step @p73 :rule trans :premises (@p72 @p71)) % 9.88/10.12 (step @p74 :rule bool-double-not-elim :args (@t40)) % 9.88/10.12 (step @p75 :rule refl :args (@t50)) % 9.88/10.12 (step @p76 :rule cong :premises (@p75) :args (@t51)) % 9.88/10.12 (step @p77 :rule beta-reduce :args ((= @t52 @t51))) % 9.88/10.12 (step @p78 :rule trans :premises (@p77 @p76)) % 9.88/10.12 (step @p79 :rule cong :premises (@p78) :args (@t53)) % 9.88/10.12 (step @p80 :rule trans :premises (@p79 @p74)) % 9.88/10.12 (step @p81 :rule nary_cong :premises (@p80 @p73) :args (@t54)) % 9.88/10.12 (step @p82 :rule cong :premises (@p44 @p81) :args ((=> @t36 @t54))) % 9.88/10.12 (assume-push @p116 @t36) % 9.88/10.12 (step @p84 :rule instantiate :premises (@p57) :args ((@list @t48))) % 9.88/10.12 (step-pop @p117 :rule scope :premises (@p84)) % 9.88/10.12 (step @p85 :rule process_scope :premises (@p117) :args (@t54)) % 9.88/10.12 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 9.88/10.12 (step @p88 :rule eq_resolve :premises (@p87 @p67)) % 9.88/10.12 (step @p89 :rule implies_elim :premises (@p88)) % 9.88/10.12 (step @p90 :rule chain_m_resolution :premises (@p89 @p57) :args (@t39 (@list false) (@list @t36))) % 9.88/10.12 (step @p91 :rule aci_norm :args ((= (or @t42 @t42) @t42))) % 9.88/10.12 (step @p92 :rule refl :args (@t42)) % 9.88/10.12 (step @p93 :rule cong :premises (@p64) :args (@t55)) % 9.88/10.12 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t56)) % 9.88/10.12 (step @p95 :rule trans :premises (@p94 @p91)) % 9.88/10.12 (step @p96 :rule cong :premises (@p44 @p95) :args ((=> @t36 @t56))) % 9.88/10.12 (step @p97 :rule beta-reduce :args ((= @t58 @t43))) % 9.88/10.12 (step @p98 :rule trans :premises (@p97 @p69)) % 9.88/10.12 (step @p99 :rule beta-reduce :args ((= @t59 @t50))) % 9.88/10.12 (step @p100 :rule trans :premises (@p99 @p75)) % 9.88/10.12 (step @p101 :rule cong :premises (@p100) :args (@t60)) % 9.88/10.12 (step @p102 :rule nary_cong :premises (@p101 @p98) :args (@t61)) % 9.88/10.12 (step @p103 :rule cong :premises (@p44 @p102) :args ((=> @t36 @t61))) % 9.88/10.12 (assume-push @p118 @t36) % 9.88/10.12 (step @p105 :rule instantiate :premises (@p57) :args ((@list @t57))) % 9.88/10.12 (step-pop @p119 :rule scope :premises (@p105)) % 9.88/10.12 (step @p106 :rule process_scope :premises (@p119) :args (@t61)) % 9.88/10.12 (step @p108 :rule eq_resolve :premises (@p106 @p103)) % 9.88/10.12 (step @p109 :rule eq_resolve :premises (@p108 @p96)) % 9.88/10.12 (step @p110 :rule implies_elim :premises (@p109)) % 9.88/10.12 (step @p111 false :rule chain_m_resolution :premises (@p110 @p90 @p57) :args (false (@list false false) (@list @t39 @t36))) % 0.36/10.13 ) % 0.36/10.13 % SZS output end Proof % 0.36/10.13 % cvc5 exiting %------------------------------------------------------------------------------