%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN343+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 09:08:37 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN343+1 : TPTP v9.2.1. Released v2.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.34 % Computer : n026.cluster.edu % 0.19/0.34 % Model : x86_64 x86_64 % 0.19/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.34 % Memory : 8042.1875MB % 0.19/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.34 % CPULimit : 300 % 0.19/0.34 % WCLimit : 300 % 0.19/0.34 % DateTime : Tue Jun 2 23:24:25 EDT 2026 % 0.19/0.35 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "Y2" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "Y1" $$unsorted)) % 0.38/0.56 (define @t3 () (tptp.big_f @t2 @t1)) % 0.38/0.56 (define @t4 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t5 () (tptp.big_f @t4 @t4)) % 0.38/0.56 (define @t6 () (and @t5 @t3)) % 0.38/0.56 (define @t7 () (@var "Z" $$unsorted)) % 0.38/0.56 (define @t8 () (tptp.big_f @t7 @t4)) % 0.38/0.56 (define @t9 () (tptp.big_f @t4 @t2)) % 0.38/0.56 (define @t10 () (=> @t9 @t8)) % 0.38/0.56 (define @t11 () (=> @t10 @t5)) % 0.38/0.56 (define @t12 () (@list @t7)) % 0.38/0.56 (define @t13 () (forall @t12 (=> @t11 @t6))) % 0.38/0.56 (define @t14 () (@list @t4 @t2 @t1)) % 0.38/0.56 (define @t15 () (exists @t14 @t13)) % 0.38/0.56 (define @t16 () (not @t15)) % 0.38/0.56 (define @t17 () (@var "BOUND_VARIABLE_7475" $$unsorted)) % 0.38/0.56 (define @t18 () (@var "BOUND_VARIABLE_7435" $$unsorted)) % 0.38/0.56 (define @t19 () (@list @t18)) % 0.38/0.56 (define @t20 () (@var "BOUND_VARIABLE_7477" $$unsorted)) % 0.38/0.56 (define @t21 () (or (and (tptp.big_f @t17 @t20) (not (forall @t19 (tptp.big_f @t18 @t17)))) (tptp.big_f @t17 @t17))) % 0.38/0.56 (define @t22 () (forall (@list @t17 @t20) @t21)) % 0.38/0.56 (define @t23 () (@var "BOUND_VARIABLE_7466" $$unsorted)) % 0.38/0.56 (define @t24 () (@var "BOUND_VARIABLE_7464" $$unsorted)) % 0.38/0.56 (define @t25 () (not (tptp.big_f @t24 @t23))) % 0.38/0.56 (define @t26 () (forall (@list @t24 @t23) @t25)) % 0.38/0.56 (define @t27 () (@var "BOUND_VARIABLE_7462" $$unsorted)) % 0.38/0.56 (define @t28 () (not (tptp.big_f @t27 @t27))) % 0.38/0.56 (define @t29 () (forall (@list @t27) @t28)) % 0.38/0.56 (define @t30 () (or @t29 @t26)) % 0.38/0.56 (define @t31 () (@var "BOUND_VARIABLE_7479" $$unsorted)) % 0.38/0.56 (define @t32 () (forall (@list @t17 @t20 @t31) @t21)) % 0.38/0.56 (define @t33 () (forall (@list @t27 @t24 @t23) (or @t28 @t25))) % 0.38/0.56 (define @t34 () (tptp.big_f @t18 @t4)) % 0.38/0.56 (define @t35 () (forall @t19 @t34)) % 0.38/0.56 (define @t36 () (not @t35)) % 0.38/0.56 (define @t37 () (or (and @t9 @t36) @t5)) % 0.38/0.56 (define @t38 () (forall @t14 @t37)) % 0.38/0.56 (define @t39 () (@list @t4 @t2 @t1)) % 0.38/0.56 (define @t40 () (not @t5)) % 0.38/0.56 (define @t41 () (or @t40 (not @t3))) % 0.38/0.56 (define @t42 () (forall @t14 @t41)) % 0.38/0.56 (define @t43 () (and @t42 @t38)) % 0.38/0.56 (define @t44 () (not @t9)) % 0.38/0.56 (define @t45 () (or @t44 @t35)) % 0.38/0.56 (define @t46 () (not @t45)) % 0.38/0.56 (define @t47 () (and @t45 @t40)) % 0.38/0.56 (define @t48 () (or @t6 @t47)) % 0.38/0.56 (define @t49 () (forall @t14 (not @t48))) % 0.38/0.56 (define @t50 () (not @t49)) % 0.38/0.56 (define @t51 () (forall @t19 (or @t44 @t34))) % 0.38/0.56 (define @t52 () (forall @t12 @t40)) % 0.38/0.56 (define @t53 () (or @t44 @t8)) % 0.38/0.56 (define @t54 () (forall @t12 @t53)) % 0.38/0.56 (define @t55 () (and @t54 @t52)) % 0.38/0.56 (define @t56 () (and @t53 @t40)) % 0.38/0.56 (define @t57 () (forall @t12 @t56)) % 0.38/0.56 (define @t58 () (or @t6 @t57)) % 0.38/0.56 (define @t59 () (or @t6 @t56)) % 0.38/0.56 (define @t60 () (or @t56 @t6)) % 0.38/0.56 (define @t61 () (@quantifiers_skolemize @t29 0)) % 0.38/0.56 (define @t62 () (tptp.big_f @t61 @t61)) % 0.38/0.56 (define @t63 () (not @t29)) % 0.38/0.56 (define @t64 () (not @t62)) % 0.38/0.56 (define @t65 () (not @t64)) % 0.38/0.56 (define @t66 () (@list @t61 @t61)) % 0.38/0.56 (define @t67 () (@list false false)) % 0.38/0.56 (define @t68 () (and @t62 (not (forall @t19 (tptp.big_f @t18 @t61))))) % 0.38/0.56 (define @t69 () (or @t68 @t62)) % 0.38/0.56 (assume @p1 @t16) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule bool-double-not-elim :args ((and @t30 @t22))) % 0.38/0.56 (step @p4 :rule quant-unused-vars :args ((= @t32 @t22))) % 0.38/0.56 (step @p5 :rule quant-miniscope-or :args ((= @t33 @t30))) % 0.38/0.56 (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((and @t33 @t32))) % 0.38/0.56 (step @p7 :rule alpha_equiv :args (@t38 @t39 (@list @t17 @t20 @t31))) % 0.38/0.56 (step @p8 :rule alpha_equiv :args (@t42 @t39 (@list @t27 @t24 @t23))) % 0.38/0.56 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t43)) % 0.38/0.56 (step @p10 :rule quant-miniscope-and :args ((= (forall @t14 (and @t41 @t37)) @t43))) % 0.38/0.56 (step @p11 :rule trans :premises (@p10 @p9)) % 0.38/0.56 (step @p12 :rule trans :premises (@p11 @p6)) % 0.38/0.56 (step @p13 :rule refl :args (@t5)) % 0.38/0.56 (step @p14 :rule refl :args (@t36)) % 0.38/0.56 (step @p15 :rule bool-double-not-elim :args (@t9)) % 0.38/0.56 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((and (not @t44) @t36))) % 0.38/0.56 (step @p17 :rule bool-or-de-morgan :args (@t44 @t35 false)) % 0.38/0.56 (step @p18 :rule trans :premises (@p17 @p16)) % 0.38/0.56 (step @p19 :rule nary_cong :premises (@p18 @p13) :args ((or @t46 @t5))) % 0.38/0.56 (step @p20 :rule bool-double-not-elim :args (@t5)) % 0.38/0.56 (step @p21 :rule refl :args (@t46)) % 0.38/0.56 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t46 (not @t40)))) % 0.38/0.56 (step @p23 :rule bool-and-de-morgan :args (@t45 @t40 true)) % 0.38/0.56 (step @p24 :rule trans :premises (@p23 @p22)) % 0.38/0.56 (step @p25 :rule trans :premises (@p24 @p19)) % 0.38/0.56 (step @p26 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.38/0.56 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((and (not @t6) (not @t47)))) % 0.38/0.56 (step @p28 :rule bool-or-de-morgan :args (@t6 @t47 false)) % 0.38/0.56 (step @p29 :rule trans :premises (@p28 @p27)) % 0.38/0.56 (step @p30 :rule cong :premises (@p29) :args (@t49)) % 0.38/0.56 (step @p31 :rule trans :premises (@p30 @p12)) % 0.38/0.56 (step @p32 :rule cong :premises (@p31) :args (@t50)) % 0.38/0.56 (step @p33 :rule exists-elim :args ((= (exists @t14 @t48) @t50))) % 0.38/0.56 (step @p34 :rule trans :premises (@p33 @p32)) % 0.38/0.56 (step @p35 :rule refl :args (@t40)) % 0.38/0.56 (step @p36 :rule quant-miniscope-or :args ((= @t51 @t45))) % 0.38/0.56 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((and @t51 @t40))) % 0.38/0.56 (step @p38 :rule quant-unused-vars :args ((= @t52 @t40))) % 0.38/0.56 (step @p39 :rule alpha_equiv :args (@t54 (@list @t7) (@list @t18))) % 0.38/0.56 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t55)) % 0.38/0.56 (step @p41 :rule quant-miniscope-and :args ((= @t57 @t55))) % 0.38/0.56 (step @p42 :rule trans :premises (@p41 @p40)) % 0.38/0.56 (step @p43 :rule trans :premises (@p42 @p37)) % 0.38/0.56 (step @p44 :rule refl :args (@t6)) % 0.38/0.56 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t58)) % 0.38/0.56 (step @p46 :rule quant-miniscope-or :args ((= (forall @t12 @t59) @t58))) % 0.38/0.56 (step @p47 :rule aci_norm :args ((= @t60 @t59))) % 0.38/0.56 (step @p48 :rule cong :premises (@p47) :args ((forall @t12 @t60))) % 0.38/0.56 (step @p49 :rule trans :premises (@p48 @p46)) % 0.38/0.56 (step @p50 :rule trans :premises (@p49 @p45)) % 0.38/0.56 (step @p51 :rule refl :args (@t6)) % 0.38/0.56 (step @p52 :rule refl :args (@t40)) % 0.38/0.56 (step @p53 :rule bool-impl-elim :args (@t9 @t8)) % 0.38/0.56 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((and @t10 @t40))) % 0.38/0.56 (step @p55 :rule bool-implies-de-morgan :args (@t10 @t5)) % 0.38/0.56 (step @p56 :rule trans :premises (@p55 @p54)) % 0.38/0.56 (step @p57 :rule nary_cong :premises (@p56 @p51) :args ((or (not @t11) @t6))) % 0.38/0.56 (step @p58 :rule bool-impl-elim :args (@t11 @t6)) % 0.38/0.56 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.56 (step @p60 :rule cong :premises (@p59) :args (@t13)) % 0.38/0.56 (step @p61 :rule trans :premises (@p60 @p50)) % 0.38/0.56 (step @p62 :rule cong :premises (@p61) :args (@t15)) % 0.38/0.56 (step @p63 :rule trans :premises (@p62 @p34)) % 0.38/0.56 (step @p64 :rule cong :premises (@p63) :args (@t16)) % 0.38/0.56 (step @p65 :rule trans :premises (@p64 @p3)) % 0.38/0.56 (step @p66 :rule eq_resolve :premises (@p1 @p65)) % 0.38/0.56 (step @p67 :rule and_elim :premises (@p66) :args (0)) % 0.38/0.56 (step @p68 :rule refl :args (@t62)) % 0.38/0.56 (step @p69 :rule bool-double-not-elim :args (@t29)) % 0.38/0.56 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or (not @t63) @t62))) % 0.38/0.56 (step @p71 :rule bool-double-not-elim :args (@t62)) % 0.38/0.56 (step @p72 :rule refl :args (@t63)) % 0.38/0.56 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t63 @t65))) % 0.38/0.56 (assume-push @p100 @t63) % 0.38/0.56 (step @p75 :rule skolemize :premises (@p100)) % 0.38/0.56 (step-pop @p101 :rule scope :premises (@p75)) % 0.38/0.56 (step @p76 :rule process_scope :premises (@p101) :args (@t65)) % 0.38/0.56 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 0.38/0.56 (step @p79 :rule implies_elim :premises (@p78)) % 0.38/0.56 (step @p80 :rule eq_resolve :premises (@p79 @p70)) % 0.38/0.56 (assume-push @p102 @t26) % 0.38/0.56 (step @p82 :rule instantiate :premises (@p102) :args (@t66)) % 0.38/0.56 (step-pop @p103 :rule scope :premises (@p82)) % 0.38/0.56 (step @p83 :rule process_scope :premises (@p103) :args (@t64)) % 0.38/0.56 (step @p85 :rule implies_elim :premises (@p83)) % 0.38/0.56 (step @p86 :rule chain_m_resolution :premises (@p85 @p80 @p67) :args (@t29 @t67 (@list @t62 @t26))) % 0.38/0.56 (step @p87 :rule cnf_and_pos :args (@t68 0)) % 0.38/0.56 (step @p88 :rule reordering :premises (@p87) :args ((or @t62 (not @t68)))) % 0.38/0.56 (step @p89 :rule and_elim :premises (@p66) :args (1)) % 0.38/0.56 (step @p90 :rule instantiate :premises (@p89) :args (@t66)) % 0.38/0.56 (step @p91 :rule cnf_or_pos :args (@t69)) % 0.38/0.56 (step @p92 :rule reordering :premises (@p91) :args ((or @t62 @t68 (not @t69)))) % 0.38/0.56 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p88) :args (@t62 (@list false true) (@list @t69 @t68))) % 0.38/0.56 (assume-push @p104 @t29) % 0.38/0.56 (step @p95 :rule instantiate :premises (@p104) :args ((@list @t61))) % 0.38/0.56 (step-pop @p105 :rule scope :premises (@p95)) % 0.38/0.56 (step @p96 :rule process_scope :premises (@p105) :args (@t64)) % 0.38/0.56 (step @p98 :rule implies_elim :premises (@p96)) % 0.38/0.56 (step @p99 false :rule chain_m_resolution :premises (@p98 @p93 @p86) :args (false @t67 (@list @t62 @t29))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------