%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN336+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 09:08:35 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN336+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 23:24:24 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (define @t1 () (@var "Y2" $$unsorted)) % 0.30/0.55 (define @t2 () (@var "Z" $$unsorted)) % 0.30/0.55 (define @t3 () (tptp.big_f @t2 @t1)) % 0.30/0.55 (define @t4 () (@var "X" $$unsorted)) % 0.30/0.55 (define @t5 () (@var "Y1" $$unsorted)) % 0.30/0.55 (define @t6 () (tptp.big_f @t5 @t4)) % 0.30/0.55 (define @t7 () (=> @t6 @t3)) % 0.30/0.55 (define @t8 () (tptp.big_f @t1 @t2)) % 0.30/0.55 (define @t9 () (=> @t8 @t7)) % 0.30/0.55 (define @t10 () (tptp.big_f @t5 @t2)) % 0.30/0.55 (define @t11 () (=> @t10 @t9)) % 0.30/0.55 (define @t12 () (tptp.big_f @t4 @t2)) % 0.30/0.55 (define @t13 () (@list @t2)) % 0.30/0.55 (define @t14 () (forall @t13 (=> @t12 @t11))) % 0.30/0.55 (define @t15 () (@list @t5 @t1)) % 0.30/0.55 (define @t16 () (exists @t15 @t14)) % 0.30/0.55 (define @t17 () (@list @t4)) % 0.30/0.55 (define @t18 () (forall @t17 @t16)) % 0.30/0.55 (define @t19 () (not @t18)) % 0.30/0.55 (define @t20 () (@var "BOUND_VARIABLE_7448" $$unsorted)) % 0.30/0.55 (define @t21 () (tptp.big_f @t20 @t4)) % 0.30/0.55 (define @t22 () (@list @t20)) % 0.30/0.55 (define @t23 () (forall @t22 @t21)) % 0.30/0.55 (define @t24 () (@var "BOUND_VARIABLE_7457" $$unsorted)) % 0.30/0.55 (define @t25 () (tptp.big_f @t2 @t24)) % 0.30/0.55 (define @t26 () (not (tptp.big_f @t24 @t2))) % 0.30/0.55 (define @t27 () (@var "BOUND_VARIABLE_7455" $$unsorted)) % 0.30/0.55 (define @t28 () (not (tptp.big_f @t27 @t2))) % 0.30/0.55 (define @t29 () (not @t12)) % 0.30/0.55 (define @t30 () (@list @t27 @t24)) % 0.30/0.55 (define @t31 () (forall @t30 (not (forall @t13 (or @t29 @t28 @t26 @t25))))) % 0.30/0.55 (define @t32 () (@var "BOUND_VARIABLE_7450" $$unsorted)) % 0.30/0.55 (define @t33 () (forall (@list @t20 @t32) @t21)) % 0.30/0.55 (define @t34 () (not @t8)) % 0.30/0.55 (define @t35 () (not @t10)) % 0.30/0.55 (define @t36 () (or @t29 @t35 @t34 @t3)) % 0.30/0.55 (define @t37 () (forall @t13 @t36)) % 0.30/0.55 (define @t38 () (not @t37)) % 0.30/0.55 (define @t39 () (forall @t15 @t38)) % 0.30/0.55 (define @t40 () (@list @t5 @t1)) % 0.30/0.55 (define @t41 () (forall @t15 @t6)) % 0.30/0.55 (define @t42 () (and @t41 @t39)) % 0.30/0.55 (define @t43 () (not @t6)) % 0.30/0.55 (define @t44 () (or @t43 @t37)) % 0.30/0.55 (define @t45 () (forall @t15 (not @t44))) % 0.30/0.55 (define @t46 () (not @t45)) % 0.30/0.55 (define @t47 () (or @t43 @t36)) % 0.30/0.55 (define @t48 () (or @t29 @t35 @t34 @t43 @t3)) % 0.30/0.55 (define @t49 () (or @t35 @t34 @t43 @t3)) % 0.30/0.55 (define @t50 () (or @t34 @t43 @t3)) % 0.30/0.55 (define @t51 () (@quantifiers_skolemize (forall @t17 (or (not @t23) (not @t31))) 0)) % 0.30/0.55 (define @t52 () (forall @t22 (tptp.big_f @t20 @t51))) % 0.30/0.55 (define @t53 () (not (tptp.big_f @t51 @t2))) % 0.30/0.55 (define @t54 () (forall @t30 (not (forall @t13 (or @t53 @t28 @t26 @t25))))) % 0.30/0.55 (define @t55 () (not @t54)) % 0.30/0.55 (define @t56 () (not @t52)) % 0.30/0.55 (define @t57 () (or @t56 @t55)) % 0.30/0.55 (define @t58 () (@list true)) % 0.30/0.55 (define @t59 () (@list @t57)) % 0.30/0.55 (define @t60 () (tptp.big_f @t2 @t51)) % 0.30/0.55 (define @t61 () (or @t53 @t60)) % 0.30/0.55 (define @t62 () (or @t53 @t53 @t53 @t60)) % 0.30/0.55 (define @t63 () (forall @t13 @t62)) % 0.30/0.55 (define @t64 () (not @t63)) % 0.30/0.55 (define @t65 () (forall @t13 @t61)) % 0.30/0.55 (define @t66 () (@quantifiers_skolemize @t65 0)) % 0.30/0.55 (define @t67 () (tptp.big_f @t66 @t51)) % 0.30/0.55 (define @t68 () (or (not (tptp.big_f @t51 @t66)) @t67)) % 0.30/0.55 (assume @p1 @t19) % 0.30/0.55 (assume @p2 true) % 0.30/0.55 (step @p3 :rule bool-and-de-morgan :args (@t23 @t31 true)) % 0.30/0.55 (step @p4 :rule cong :premises (@p3) :args ((forall @t17 (not (and @t23 @t31))))) % 0.30/0.55 (step @p5 :rule refl :args (@t31)) % 0.30/0.55 (step @p6 :rule quant-unused-vars :args ((= @t33 @t23))) % 0.30/0.55 (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((and @t33 @t31))) % 0.30/0.55 (step @p8 :rule alpha_equiv :args (@t39 @t40 (@list @t27 @t24))) % 0.30/0.55 (step @p9 :rule alpha_equiv :args (@t41 @t40 (@list @t20 @t32))) % 0.30/0.55 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t42)) % 0.30/0.55 (step @p11 :rule quant-miniscope-and :args ((= (forall @t15 (and @t6 @t38)) @t42))) % 0.30/0.55 (step @p12 :rule trans :premises (@p11 @p10)) % 0.30/0.55 (step @p13 :rule trans :premises (@p12 @p7)) % 0.30/0.55 (step @p14 :rule refl :args (@t38)) % 0.30/0.55 (step @p15 :rule bool-double-not-elim :args (@t6)) % 0.30/0.55 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((and (not @t43) @t38))) % 0.30/0.55 (step @p17 :rule bool-or-de-morgan :args (@t43 @t37 false)) % 0.30/0.55 (step @p18 :rule trans :premises (@p17 @p16)) % 0.30/0.55 (step @p19 :rule cong :premises (@p18) :args (@t45)) % 0.30/0.55 (step @p20 :rule trans :premises (@p19 @p13)) % 0.30/0.55 (step @p21 :rule cong :premises (@p20) :args (@t46)) % 0.30/0.55 (step @p22 :rule exists-elim :args ((= (exists @t15 @t44) @t46))) % 0.33/0.56 (step @p23 :rule trans :premises (@p22 @p21)) % 0.33/0.56 (step @p24 :rule quant-miniscope-or :args ((= (forall @t13 @t47) @t44))) % 0.33/0.56 (step @p25 :rule aci_norm :args ((= @t48 @t47))) % 0.33/0.56 (step @p26 :rule cong :premises (@p25) :args ((forall @t13 @t48))) % 0.33/0.56 (step @p27 :rule trans :premises (@p26 @p24)) % 0.33/0.56 (step @p28 :rule aci_norm :args ((= (or @t29 @t49) @t48))) % 0.33/0.56 (step @p29 :rule aci_norm :args ((= (or @t35 @t50) @t49))) % 0.33/0.56 (step @p30 :rule aci_norm :args ((= (or @t34 (or @t43 @t3)) @t50))) % 0.33/0.56 (step @p31 :rule bool-impl-elim :args (@t6 @t3)) % 0.33/0.56 (step @p32 :rule refl :args (@t34)) % 0.33/0.56 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t34 @t7))) % 0.33/0.56 (step @p34 :rule trans :premises (@p33 @p30)) % 0.33/0.56 (step @p35 :rule bool-impl-elim :args (@t8 @t7)) % 0.33/0.56 (step @p36 :rule trans :premises (@p35 @p34)) % 0.33/0.56 (step @p37 :rule refl :args (@t35)) % 0.33/0.56 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t35 @t9))) % 0.33/0.56 (step @p39 :rule trans :premises (@p38 @p29)) % 0.33/0.56 (step @p40 :rule bool-impl-elim :args (@t10 @t9)) % 0.33/0.56 (step @p41 :rule trans :premises (@p40 @p39)) % 0.33/0.56 (step @p42 :rule refl :args (@t29)) % 0.33/0.56 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t29 @t11))) % 0.33/0.56 (step @p44 :rule trans :premises (@p43 @p28)) % 0.33/0.56 (step @p45 :rule bool-impl-elim :args (@t12 @t11)) % 0.33/0.56 (step @p46 :rule trans :premises (@p45 @p44)) % 0.33/0.56 (step @p47 :rule cong :premises (@p46) :args (@t14)) % 0.33/0.56 (step @p48 :rule trans :premises (@p47 @p27)) % 0.33/0.56 (step @p49 :rule cong :premises (@p48) :args (@t16)) % 0.33/0.56 (step @p50 :rule trans :premises (@p49 @p23)) % 0.33/0.56 (step @p51 :rule cong :premises (@p50) :args (@t18)) % 0.33/0.56 (step @p52 :rule trans :premises (@p51 @p4)) % 0.33/0.56 (step @p53 :rule cong :premises (@p52) :args (@t19)) % 0.33/0.56 (step @p54 :rule eq_resolve :premises (@p1 @p53)) % 0.33/0.56 (step @p55 :rule skolemize :premises (@p54)) % 0.33/0.56 (step @p56 :rule bool-double-not-elim :args (@t52)) % 0.33/0.56 (step @p57 :rule refl :args (@t57)) % 0.33/0.56 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t57 (not @t56)))) % 0.33/0.56 (step @p59 :rule cnf_or_neg :args (@t57 0)) % 0.33/0.56 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.33/0.56 (step @p61 :rule reordering :premises (@p60) :args ((or @t52 @t57))) % 0.33/0.56 (step @p62 :rule chain_m_resolution :premises (@p61 @p55) :args (@t52 @t58 @t59)) % 0.33/0.56 (step @p63 :rule bool-double-not-elim :args (@t54)) % 0.33/0.56 (step @p64 :rule nary_cong :premises (@p57 @p63) :args ((or @t57 (not @t55)))) % 0.33/0.56 (step @p65 :rule cnf_or_neg :args (@t57 1)) % 0.33/0.56 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.33/0.56 (step @p67 :rule reordering :premises (@p66) :args ((or @t54 @t57))) % 0.33/0.56 (step @p68 :rule chain_m_resolution :premises (@p67 @p55) :args (@t54 @t58 @t59)) % 0.33/0.56 (step @p69 :rule aci_norm :args ((= @t62 @t61))) % 0.33/0.56 (step @p70 :rule cong :premises (@p69) :args (@t63)) % 0.33/0.56 (step @p71 :rule cong :premises (@p70) :args (@t64)) % 0.33/0.56 (step @p72 :rule refl :args (@t54)) % 0.33/0.56 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t54 @t64))) % 0.33/0.56 (assume-push @p90 @t54) % 0.33/0.56 (step @p75 :rule instantiate :premises (@p68) :args ((@list @t51 @t51))) % 0.33/0.56 (step-pop @p91 :rule scope :premises (@p75)) % 0.33/0.56 (step @p76 :rule process_scope :premises (@p91) :args (@t64)) % 0.33/0.56 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 0.33/0.56 (step @p79 :rule implies_elim :premises (@p78)) % 0.33/0.56 (step @p80 :rule chain_m_resolution :premises (@p79 @p68) :args ((not @t65) (@list false) (@list @t54))) % 0.33/0.56 (step @p81 :rule skolemize :premises (@p80)) % 0.33/0.56 (step @p82 :rule cnf_or_neg :args (@t68 1)) % 0.33/0.56 (step @p83 :rule chain_m_resolution :premises (@p82 @p81) :args ((not @t67) @t58 (@list @t68))) % 0.33/0.56 (assume-push @p92 @t52) % 0.33/0.56 (step @p85 :rule instantiate :premises (@p62) :args ((@list @t66))) % 0.33/0.56 (step-pop @p93 :rule scope :premises (@p85)) % 0.33/0.56 (step @p86 :rule process_scope :premises (@p93) :args (@t67)) % 0.33/0.56 (step @p88 :rule implies_elim :premises (@p86)) % 0.33/0.56 (step @p89 false :rule chain_m_resolution :premises (@p88 @p83 @p62) :args (false (@list true false) (@list @t67 @t52))) % 0.33/0.56 ) % 0.33/0.56 % SZS output end Proof % 0.33/0.56 % cvc5 exiting %------------------------------------------------------------------------------