%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN327+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 : n001.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 09:08:33 AM UTC 2026 % Result : Theorem 0.34s 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 : SYN327+1 : TPTP v9.2.1. Released v2.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.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 23:24:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.23/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.56 % SZS status Theorem % 0.34/0.56 % SZS output start Proof % 0.34/0.56 ( % 0.34/0.56 (declare-sort $$unsorted 0) % 0.34/0.56 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.34/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.34/0.56 (define @t2 () (@var "Z" $$unsorted)) % 0.34/0.56 (define @t3 () (@var "X" $$unsorted)) % 0.34/0.56 (define @t4 () (tptp.big_f @t1 @t3)) % 0.34/0.56 (define @t5 () (and @t4 (tptp.big_f @t2 @t1))) % 0.34/0.56 (define @t6 () (tptp.big_f @t3 @t2)) % 0.34/0.56 (define @t7 () (not @t6)) % 0.34/0.56 (define @t8 () (=> @t7 @t5)) % 0.34/0.56 (define @t9 () (tptp.big_f @t3 @t1)) % 0.34/0.56 (define @t10 () (and (=> @t6 @t9) (=> @t9 @t8))) % 0.34/0.56 (define @t11 () (@list @t2)) % 0.34/0.56 (define @t12 () (forall @t11 (=> @t4 @t10))) % 0.34/0.56 (define @t13 () (@list @t1)) % 0.34/0.56 (define @t14 () (exists @t13 @t12)) % 0.34/0.56 (define @t15 () (@list @t3)) % 0.34/0.56 (define @t16 () (forall @t15 @t14)) % 0.34/0.56 (define @t17 () (not @t16)) % 0.34/0.56 (define @t18 () (@var "BOUND_VARIABLE_7477" $$unsorted)) % 0.34/0.56 (define @t19 () (@list @t18)) % 0.34/0.56 (define @t20 () (forall @t19 (tptp.big_f @t18 @t3))) % 0.34/0.56 (define @t21 () (@var "BOUND_VARIABLE_7482" $$unsorted)) % 0.34/0.56 (define @t22 () (@var "BOUND_VARIABLE_7447" $$unsorted)) % 0.34/0.56 (define @t23 () (tptp.big_f @t22 @t21)) % 0.34/0.56 (define @t24 () (tptp.big_f @t3 @t22)) % 0.34/0.56 (define @t25 () (@list @t22)) % 0.34/0.56 (define @t26 () (tptp.big_f @t3 @t21)) % 0.34/0.56 (define @t27 () (@var "BOUND_VARIABLE_7440" $$unsorted)) % 0.34/0.56 (define @t28 () (not (tptp.big_f @t3 @t27))) % 0.34/0.56 (define @t29 () (@list @t27)) % 0.34/0.56 (define @t30 () (forall @t29 @t28)) % 0.34/0.56 (define @t31 () (not @t30)) % 0.34/0.56 (define @t32 () (@list @t21)) % 0.34/0.56 (define @t33 () (forall @t32 (or (and (not @t26) @t31) (and @t26 (not (forall @t25 (or @t24 (and (tptp.big_f @t21 @t3) @t23)))))))) % 0.34/0.56 (define @t34 () (and @t4 (tptp.big_f @t22 @t1))) % 0.34/0.56 (define @t35 () (or @t24 @t34)) % 0.34/0.56 (define @t36 () (forall @t25 @t35)) % 0.34/0.56 (define @t37 () (not @t36)) % 0.34/0.56 (define @t38 () (not @t9)) % 0.34/0.56 (define @t39 () (or (and @t38 @t31) (and @t9 @t37))) % 0.34/0.56 (define @t40 () (forall @t13 @t39)) % 0.34/0.56 (define @t41 () (@list @t1)) % 0.34/0.56 (define @t42 () (forall @t13 @t4)) % 0.34/0.56 (define @t43 () (and @t42 @t40)) % 0.34/0.56 (define @t44 () (or @t38 @t36)) % 0.34/0.56 (define @t45 () (or @t9 @t30)) % 0.34/0.56 (define @t46 () (and @t45 @t44)) % 0.34/0.56 (define @t47 () (not @t46)) % 0.34/0.56 (define @t48 () (not @t4)) % 0.34/0.56 (define @t49 () (or @t48 @t46)) % 0.34/0.56 (define @t50 () (forall @t13 (not @t49))) % 0.34/0.56 (define @t51 () (not @t50)) % 0.34/0.56 (define @t52 () (or @t38 @t35)) % 0.34/0.56 (define @t53 () (or @t38 @t24 @t34)) % 0.34/0.56 (define @t54 () (forall @t25 @t53)) % 0.34/0.56 (define @t55 () (or @t9 @t28)) % 0.34/0.56 (define @t56 () (or @t28 @t9)) % 0.34/0.56 (define @t57 () (forall @t29 @t56)) % 0.34/0.56 (define @t58 () (or @t38 @t6 @t5)) % 0.34/0.56 (define @t59 () (forall @t11 @t58)) % 0.34/0.56 (define @t60 () (@list @t2)) % 0.34/0.56 (define @t61 () (or @t7 @t9)) % 0.34/0.56 (define @t62 () (forall @t11 @t61)) % 0.34/0.56 (define @t63 () (and @t62 @t59)) % 0.34/0.56 (define @t64 () (and @t61 @t58)) % 0.34/0.56 (define @t65 () (forall @t11 @t64)) % 0.34/0.56 (define @t66 () (or @t48 @t65)) % 0.34/0.56 (define @t67 () (@quantifiers_skolemize (forall @t15 (or (not @t20) (not @t33))) 0)) % 0.34/0.56 (define @t68 () (forall @t19 (tptp.big_f @t18 @t67))) % 0.34/0.56 (define @t69 () (tptp.big_f @t67 @t22)) % 0.34/0.56 (define @t70 () (tptp.big_f @t67 @t21)) % 0.34/0.56 (define @t71 () (not (forall @t29 (not (tptp.big_f @t67 @t27))))) % 0.34/0.56 (define @t72 () (forall @t32 (or (and (not @t70) @t71) (and @t70 (not (forall @t25 (or @t69 (and (tptp.big_f @t21 @t67) @t23)))))))) % 0.34/0.56 (define @t73 () (not @t72)) % 0.34/0.56 (define @t74 () (not @t68)) % 0.34/0.56 (define @t75 () (or @t74 @t73)) % 0.34/0.56 (define @t76 () (@list true)) % 0.34/0.56 (define @t77 () (@list @t75)) % 0.34/0.56 (define @t78 () (@list @t67)) % 0.34/0.56 (define @t79 () (tptp.big_f @t67 @t67)) % 0.34/0.56 (define @t80 () (not @t79)) % 0.34/0.56 (define @t81 () (and @t80 @t71)) % 0.34/0.56 (define @t82 () (not @t81)) % 0.34/0.56 (define @t83 () (@list false)) % 0.34/0.56 (define @t84 () (forall @t25 (or @t69 (and @t79 (tptp.big_f @t22 @t67))))) % 0.34/0.56 (define @t85 () (not @t84)) % 0.34/0.56 (define @t86 () (and @t79 @t85)) % 0.34/0.56 (define @t87 () (or @t81 @t86)) % 0.34/0.56 (define @t88 () (@list true false)) % 0.34/0.56 (define @t89 () (@quantifiers_skolemize @t84 0)) % 0.34/0.56 (define @t90 () (tptp.big_f @t89 @t67)) % 0.34/0.56 (define @t91 () (and @t79 @t90)) % 0.34/0.56 (define @t92 () (or (tptp.big_f @t67 @t89) @t91)) % 0.34/0.56 (define @t93 () (not @t90)) % 0.34/0.56 (assume @p1 @t17) % 0.34/0.56 (assume @p2 true) % 0.34/0.56 (step @p3 :rule bool-and-de-morgan :args (@t20 @t33 true)) % 0.34/0.56 (step @p4 :rule cong :premises (@p3) :args ((forall @t15 (not (and @t20 @t33))))) % 0.34/0.56 (step @p5 :rule alpha_equiv :args (@t40 @t41 (@list @t21))) % 0.34/0.56 (step @p6 :rule alpha_equiv :args (@t42 @t41 (@list @t18))) % 0.34/0.56 (step @p7 :rule nary_cong :premises (@p6 @p5) :args (@t43)) % 0.34/0.56 (step @p8 :rule quant-miniscope-and :args ((= (forall @t13 (and @t4 @t39)) @t43))) % 0.34/0.56 (step @p9 :rule trans :premises (@p8 @p7)) % 0.34/0.56 (step @p10 :rule refl :args (@t37)) % 0.34/0.56 (step @p11 :rule bool-double-not-elim :args (@t9)) % 0.34/0.56 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((and (not @t38) @t37))) % 0.34/0.56 (step @p13 :rule bool-or-de-morgan :args (@t38 @t36 false)) % 0.34/0.56 (step @p14 :rule trans :premises (@p13 @p12)) % 0.34/0.56 (step @p15 :rule bool-or-de-morgan :args (@t9 @t30 false)) % 0.34/0.56 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or (not @t45) (not @t44)))) % 0.34/0.56 (step @p17 :rule bool-and-de-morgan :args (@t45 @t44 true)) % 0.34/0.56 (step @p18 :rule trans :premises (@p17 @p16)) % 0.34/0.56 (step @p19 :rule refl :args (@t4)) % 0.34/0.56 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((and @t4 @t47))) % 0.34/0.56 (step @p21 :rule refl :args (@t47)) % 0.34/0.56 (step @p22 :rule bool-double-not-elim :args (@t4)) % 0.34/0.56 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((and (not @t48) @t47))) % 0.34/0.56 (step @p24 :rule bool-or-de-morgan :args (@t48 @t46 false)) % 0.34/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.34/0.56 (step @p26 :rule trans :premises (@p25 @p20)) % 0.34/0.56 (step @p27 :rule cong :premises (@p26) :args (@t50)) % 0.34/0.56 (step @p28 :rule trans :premises (@p27 @p9)) % 0.34/0.56 (step @p29 :rule cong :premises (@p28) :args (@t51)) % 0.34/0.56 (step @p30 :rule exists-elim :args ((= (exists @t13 @t49) @t51))) % 0.34/0.56 (step @p31 :rule trans :premises (@p30 @p29)) % 0.34/0.56 (step @p32 :rule quant-miniscope-or :args ((= (forall @t25 @t52) @t44))) % 0.34/0.56 (step @p33 :rule aci_norm :args ((= @t53 @t52))) % 0.34/0.56 (step @p34 :rule cong :premises (@p33) :args (@t54)) % 0.34/0.56 (step @p35 :rule trans :premises (@p34 @p32)) % 0.34/0.56 (step @p36 :rule quant-miniscope-or :args ((= (forall @t29 @t55) @t45))) % 0.34/0.56 (step @p37 :rule aci_norm :args ((= @t56 @t55))) % 0.34/0.56 (step @p38 :rule cong :premises (@p37) :args (@t57)) % 0.34/0.56 (step @p39 :rule trans :premises (@p38 @p36)) % 0.34/0.56 (step @p40 :rule nary_cong :premises (@p39 @p35) :args ((and @t57 @t54))) % 0.34/0.56 (step @p41 :rule alpha_equiv :args (@t59 @t60 (@list @t22))) % 0.34/0.56 (step @p42 :rule alpha_equiv :args (@t62 @t60 (@list @t27))) % 0.34/0.56 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t63)) % 0.34/0.56 (step @p44 :rule quant-miniscope-and :args ((= @t65 @t63))) % 0.34/0.56 (step @p45 :rule trans :premises (@p44 @p43)) % 0.34/0.56 (step @p46 :rule trans :premises (@p45 @p40)) % 0.34/0.56 (step @p47 :rule refl :args (@t48)) % 0.34/0.56 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t66)) % 0.34/0.56 (step @p49 :rule quant-miniscope-or :args ((= (forall @t11 (or @t48 @t64)) @t66))) % 0.34/0.56 (step @p50 :rule trans :premises (@p49 @p48)) % 0.34/0.56 (step @p51 :rule aci_norm :args ((= (or @t38 (or @t6 @t5)) @t58))) % 0.34/0.56 (step @p52 :rule refl :args (@t5)) % 0.34/0.56 (step @p53 :rule bool-double-not-elim :args (@t6)) % 0.34/0.56 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t7) @t5))) % 0.34/0.56 (step @p55 :rule bool-impl-elim :args (@t7 @t5)) % 0.34/0.56 (step @p56 :rule trans :premises (@p55 @p54)) % 0.34/0.56 (step @p57 :rule refl :args (@t38)) % 0.34/0.56 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t38 @t8))) % 0.34/0.56 (step @p59 :rule trans :premises (@p58 @p51)) % 0.34/0.56 (step @p60 :rule bool-impl-elim :args (@t9 @t8)) % 0.34/0.56 (step @p61 :rule trans :premises (@p60 @p59)) % 0.34/0.56 (step @p62 :rule bool-impl-elim :args (@t6 @t9)) % 0.34/0.56 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t10)) % 0.34/0.56 (step @p64 :rule refl :args (@t48)) % 0.34/0.56 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t48 @t10))) % 0.34/0.56 (step @p66 :rule bool-impl-elim :args (@t4 @t10)) % 0.34/0.56 (step @p67 :rule trans :premises (@p66 @p65)) % 0.34/0.56 (step @p68 :rule cong :premises (@p67) :args (@t12)) % 0.34/0.56 (step @p69 :rule trans :premises (@p68 @p50)) % 0.34/0.56 (step @p70 :rule cong :premises (@p69) :args (@t14)) % 0.34/0.56 (step @p71 :rule trans :premises (@p70 @p31)) % 0.34/0.56 (step @p72 :rule cong :premises (@p71) :args (@t16)) % 0.34/0.56 (step @p73 :rule trans :premises (@p72 @p4)) % 0.34/0.56 (step @p74 :rule cong :premises (@p73) :args (@t17)) % 0.34/0.56 (step @p75 :rule eq_resolve :premises (@p1 @p74)) % 0.34/0.56 (step @p76 :rule skolemize :premises (@p75)) % 0.34/0.56 (step @p77 :rule bool-double-not-elim :args (@t68)) % 0.34/0.56 (step @p78 :rule refl :args (@t75)) % 0.34/0.56 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t75 (not @t74)))) % 0.34/0.56 (step @p80 :rule cnf_or_neg :args (@t75 0)) % 0.38/0.56 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.38/0.56 (step @p82 :rule reordering :premises (@p81) :args ((or @t68 @t75))) % 0.38/0.56 (step @p83 :rule chain_m_resolution :premises (@p82 @p76) :args (@t68 @t76 @t77)) % 0.38/0.56 (step @p84 :rule bool-double-not-elim :args (@t72)) % 0.38/0.56 (step @p85 :rule nary_cong :premises (@p78 @p84) :args ((or @t75 (not @t73)))) % 0.38/0.56 (step @p86 :rule cnf_or_neg :args (@t75 1)) % 0.38/0.56 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.38/0.56 (step @p88 :rule reordering :premises (@p87) :args ((or @t72 @t75))) % 0.38/0.56 (step @p89 :rule chain_m_resolution :premises (@p88 @p76) :args (@t72 @t76 @t77)) % 0.38/0.56 (step @p90 :rule instantiate :premises (@p89) :args (@t78)) % 0.38/0.56 (step @p91 :rule instantiate :premises (@p83) :args (@t78)) % 0.38/0.56 (step @p92 :rule cnf_and_pos :args (@t81 0)) % 0.38/0.56 (step @p93 :rule reordering :premises (@p92) :args ((or @t80 @t82))) % 0.38/0.56 (step @p94 :rule chain_m_resolution :premises (@p93 @p91) :args (@t82 @t83 (@list @t79))) % 0.38/0.56 (step @p95 :rule cnf_or_pos :args (@t87)) % 0.38/0.56 (step @p96 :rule reordering :premises (@p95) :args ((or @t81 @t86 (not @t87)))) % 0.38/0.56 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p90) :args (@t86 @t88 (@list @t81 @t87))) % 0.38/0.56 (step @p98 :rule cnf_and_pos :args (@t86 1)) % 0.38/0.56 (step @p99 :rule reordering :premises (@p98) :args ((or @t85 (not @t86)))) % 0.38/0.56 (step @p100 :rule chain_m_resolution :premises (@p99 @p97) :args (@t85 @t83 (@list @t86))) % 0.38/0.56 (step @p101 :rule skolemize :premises (@p100)) % 0.38/0.56 (step @p102 :rule cnf_or_neg :args (@t92 1)) % 0.38/0.56 (step @p103 :rule chain_m_resolution :premises (@p102 @p101) :args ((not @t91) @t76 (@list @t92))) % 0.38/0.56 (step @p104 :rule cnf_and_neg :args (@t91)) % 0.38/0.56 (step @p105 :rule reordering :premises (@p104) :args ((or @t80 @t91 @t93))) % 0.38/0.56 (step @p106 :rule chain_m_resolution :premises (@p105 @p91 @p103) :args (@t93 (@list false true) (@list @t79 @t91))) % 0.38/0.56 (assume-push @p113 @t68) % 0.38/0.56 (step @p108 :rule instantiate :premises (@p83) :args ((@list @t89))) % 0.38/0.56 (step-pop @p114 :rule scope :premises (@p108)) % 0.38/0.56 (step @p109 :rule process_scope :premises (@p114) :args (@t90)) % 0.38/0.56 (step @p111 :rule implies_elim :premises (@p109)) % 0.38/0.56 (step @p112 false :rule chain_m_resolution :premises (@p111 @p106 @p83) :args (false @t88 (@list @t90 @t68))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------