%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO096^5 : 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 : n008.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 09:12:02 AM UTC 2026 % Result : Theorem 0.29s 0.56s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO096^5 : 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 % 0.17/0.34 % Computer : n008.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 : Tue Jun 2 23:58:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.29/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.56 % SZS status Theorem % 0.29/0.56 % SZS output start Proof % 0.29/0.56 ( % 0.29/0.56 (declare-sort $$unsorted 0) % 0.29/0.56 (declare-const tptp.cR (-> $$unsorted $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.cB $$unsorted) % 0.29/0.56 (declare-const tptp.cQ (-> $$unsorted $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.cA $$unsorted) % 0.29/0.56 (define @t1 () (@var "W" $$unsorted)) % 0.29/0.56 (define @t2 () (_ (_ tptp.cQ @t1) tptp.cA)) % 0.29/0.56 (define @t3 () (_ (_ tptp.cR tptp.cB) @t1)) % 0.29/0.56 (define @t4 () (and @t3 @t2)) % 0.29/0.56 (define @t5 () (@list @t1)) % 0.29/0.56 (define @t6 () (exists @t5 @t4)) % 0.29/0.56 (define @t7 () (@var "V" $$unsorted)) % 0.29/0.56 (define @t8 () (@var "Z" $$unsorted)) % 0.29/0.56 (define @t9 () (_ (_ tptp.cR @t8) @t7)) % 0.29/0.56 (define @t10 () (@list @t8)) % 0.29/0.56 (define @t11 () (forall @t10 @t9)) % 0.29/0.56 (define @t12 () (@var "U" $$unsorted)) % 0.29/0.56 (define @t13 () (_ (_ tptp.cQ @t12) @t7)) % 0.29/0.56 (define @t14 () (=> @t13 @t11)) % 0.29/0.56 (define @t15 () (@list @t12 @t7)) % 0.29/0.56 (define @t16 () (forall @t15 @t14)) % 0.29/0.56 (define @t17 () (@var "X" $$unsorted)) % 0.29/0.56 (define @t18 () (_ (_ tptp.cQ @t17) @t17)) % 0.29/0.56 (define @t19 () (@var "Y" $$unsorted)) % 0.29/0.56 (define @t20 () (_ (_ tptp.cR @t17) @t19)) % 0.29/0.56 (define @t21 () (@list @t19)) % 0.29/0.56 (define @t22 () (exists @t21 @t20)) % 0.29/0.56 (define @t23 () (=> @t22 @t18)) % 0.29/0.56 (define @t24 () (@list @t17)) % 0.29/0.56 (define @t25 () (forall @t24 @t23)) % 0.29/0.56 (define @t26 () (_ (_ tptp.cR tptp.cA) tptp.cB)) % 0.29/0.56 (define @t27 () (and @t26 @t25 @t16)) % 0.29/0.56 (define @t28 () (=> @t27 @t6)) % 0.29/0.56 (define @t29 () (not @t28)) % 0.29/0.56 (define @t30 () (tptp.cQ @t1 tptp.cA)) % 0.29/0.56 (define @t31 () (tptp.cR tptp.cB @t1)) % 0.29/0.56 (define @t32 () (not (forall @t5 (or (not @t31) (not @t30))))) % 0.29/0.56 (define @t33 () (@var "BOUND_VARIABLE_7480" $$unsorted)) % 0.29/0.56 (define @t34 () (tptp.cR @t33 @t7)) % 0.29/0.56 (define @t35 () (tptp.cQ @t12 @t7)) % 0.29/0.56 (define @t36 () (not @t35)) % 0.29/0.56 (define @t37 () (or @t36 @t34)) % 0.29/0.56 (define @t38 () (forall (@list @t12 @t7 @t33) @t37)) % 0.29/0.56 (define @t39 () (tptp.cQ @t17 @t17)) % 0.29/0.56 (define @t40 () (@var "BOUND_VARIABLE_7462" $$unsorted)) % 0.29/0.56 (define @t41 () (not (tptp.cR @t17 @t40))) % 0.29/0.56 (define @t42 () (or @t41 @t39)) % 0.29/0.56 (define @t43 () (forall (@list @t17 @t40) @t42)) % 0.29/0.56 (define @t44 () (tptp.cR tptp.cA tptp.cB)) % 0.29/0.56 (define @t45 () (and @t26 @t43 @t38)) % 0.29/0.56 (define @t46 () (=> @t45 @t32)) % 0.29/0.56 (define @t47 () (not @t2)) % 0.29/0.56 (define @t48 () (not @t3)) % 0.29/0.56 (define @t49 () (or @t48 @t47)) % 0.29/0.56 (define @t50 () (forall @t5 (not @t4))) % 0.29/0.56 (define @t51 () (not @t50)) % 0.29/0.56 (define @t52 () (@list @t33)) % 0.29/0.56 (define @t53 () (forall @t52 @t37)) % 0.29/0.56 (define @t54 () (forall @t52 @t34)) % 0.29/0.56 (define @t55 () (or @t36 @t54)) % 0.29/0.56 (define @t56 () (tptp.cR @t8 @t7)) % 0.29/0.56 (define @t57 () (forall @t10 @t56)) % 0.29/0.56 (define @t58 () (not @t13)) % 0.29/0.56 (define @t59 () (or @t58 @t57)) % 0.29/0.56 (define @t60 () (@list @t40)) % 0.29/0.56 (define @t61 () (forall @t60 @t42)) % 0.29/0.56 (define @t62 () (forall @t60 @t41)) % 0.29/0.56 (define @t63 () (or @t62 @t39)) % 0.29/0.56 (define @t64 () (tptp.cR @t17 @t19)) % 0.29/0.56 (define @t65 () (forall @t21 (not @t64))) % 0.29/0.56 (define @t66 () (or @t65 @t18)) % 0.29/0.56 (define @t67 () (not @t65)) % 0.29/0.56 (define @t68 () (not @t20)) % 0.29/0.56 (define @t69 () (forall @t21 @t68)) % 0.29/0.56 (define @t70 () (not @t69)) % 0.29/0.56 (define @t71 () (tptp.cQ tptp.cA tptp.cA)) % 0.29/0.56 (define @t72 () (not @t44)) % 0.29/0.56 (define @t73 () (or @t72 @t71)) % 0.29/0.56 (define @t74 () (@list false false)) % 0.29/0.56 (define @t75 () (not @t71)) % 0.29/0.56 (define @t76 () (tptp.cR tptp.cB tptp.cA)) % 0.29/0.56 (define @t77 () (not @t76)) % 0.29/0.56 (define @t78 () (or @t77 @t75)) % 0.29/0.56 (define @t79 () (or @t75 @t76)) % 0.29/0.56 (define @t80 () (not @t79)) % 0.29/0.56 (assume @p1 @t29) % 0.29/0.56 (assume @p2 true) % 0.29/0.56 (step @p3 :rule refl :args (@t32)) % 0.29/0.56 (step @p4 :rule refl :args (@t38)) % 0.29/0.56 (step @p5 :rule refl :args (@t43)) % 0.29/0.56 (step @p6 :rule refl :args (@t44)) % 0.29/0.56 (step @p7 :rule refl :args (@t26)) % 0.29/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t26 @t44))) % 0.29/0.56 (step @p9 :rule symm :premises (@p8)) % 0.29/0.56 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.29/0.56 (step @p11 :rule nary_cong :premises (@p10 @p5 @p4) :args (@t45)) % 0.29/0.56 (step @p12 :rule cong :premises (@p11 @p3) :args (@t46)) % 0.29/0.56 (step @p13 :rule cong :premises (@p12) :args ((not @t46))) % 0.29/0.56 (step @p14 :rule refl :args (@t30)) % 0.29/0.56 (step @p15 :rule refl :args (@t2)) % 0.29/0.56 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t2 @t30))) % 0.29/0.56 (step @p17 :rule symm :premises (@p16)) % 0.29/0.56 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.29/0.56 (step @p19 :rule cong :premises (@p18) :args (@t47)) % 0.29/0.56 (step @p20 :rule refl :args (@t31)) % 0.29/0.56 (step @p21 :rule refl :args (@t3)) % 0.29/0.56 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t3 @t31))) % 0.29/0.56 (step @p23 :rule symm :premises (@p22)) % 0.29/0.56 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.29/0.56 (step @p25 :rule cong :premises (@p24) :args (@t48)) % 0.29/0.56 (step @p26 :rule nary_cong :premises (@p25 @p19) :args (@t49)) % 0.29/0.56 (step @p27 :rule cong :premises (@p26) :args ((forall @t5 @t49))) % 0.29/0.56 (step @p28 :rule bool-and-de-morgan :args (@t3 @t2 true)) % 0.29/0.56 (step @p29 :rule cong :premises (@p28) :args (@t50)) % 0.29/0.56 (step @p30 :rule trans :premises (@p29 @p27)) % 0.29/0.56 (step @p31 :rule cong :premises (@p30) :args (@t51)) % 0.29/0.56 (step @p32 :rule exists-elim :args ((= @t6 @t51))) % 0.29/0.56 (step @p33 :rule trans :premises (@p32 @p31)) % 0.29/0.56 (step @p34 :rule quant-merge-prenex :args ((= (forall @t15 @t53) @t38))) % 0.29/0.56 (step @p35 :rule alpha_equiv :args (@t54 (@list @t33) (@list @t8))) % 0.29/0.56 (step @p36 :rule refl :args (@t36)) % 0.29/0.56 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t55)) % 0.29/0.56 (step @p38 :rule quant-miniscope-or :args ((= @t53 @t55))) % 0.29/0.56 (step @p39 :rule trans :premises (@p38 @p37)) % 0.29/0.56 (step @p40 :rule symm :premises (@p39)) % 0.29/0.56 (step @p41 :rule cong :premises (@p40) :args ((forall @t15 (or @t36 @t57)))) % 0.29/0.56 (step @p42 :rule trans :premises (@p41 @p34)) % 0.29/0.56 (step @p43 :rule refl :args (@t57)) % 0.29/0.56 (step @p44 :rule refl :args (@t35)) % 0.29/0.56 (step @p45 :rule refl :args (@t13)) % 0.29/0.56 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t13 @t35))) % 0.29/0.56 (step @p47 :rule symm :premises (@p46)) % 0.29/0.56 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 0.29/0.56 (step @p49 :rule cong :premises (@p48) :args (@t58)) % 0.29/0.56 (step @p50 :rule nary_cong :premises (@p49 @p43) :args (@t59)) % 0.29/0.56 (step @p51 :rule cong :premises (@p50) :args ((forall @t15 @t59))) % 0.29/0.56 (step @p52 :rule trans :premises (@p51 @p42)) % 0.29/0.56 (step @p53 :rule bool-impl-elim :args (@t13 @t57)) % 0.29/0.56 (step @p54 :rule cong :premises (@p53) :args ((forall @t15 (=> @t13 @t57)))) % 0.29/0.56 (step @p55 :rule trans :premises (@p54 @p52)) % 0.29/0.56 (step @p56 :rule refl :args (@t56)) % 0.29/0.56 (step @p57 :rule refl :args (@t9)) % 0.29/0.56 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t9 @t56))) % 0.29/0.56 (step @p59 :rule symm :premises (@p58)) % 0.29/0.56 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.29/0.56 (step @p61 :rule cong :premises (@p60) :args (@t11)) % 0.29/0.56 (step @p62 :rule refl :args (@t13)) % 0.29/0.56 (step @p63 :rule cong :premises (@p62 @p61) :args (@t14)) % 0.29/0.56 (step @p64 :rule cong :premises (@p63) :args (@t16)) % 0.29/0.56 (step @p65 :rule trans :premises (@p64 @p55)) % 0.29/0.56 (step @p66 :rule quant-merge-prenex :args ((= (forall @t24 @t61) @t43))) % 0.29/0.56 (step @p67 :rule refl :args (@t39)) % 0.29/0.56 (step @p68 :rule alpha_equiv :args (@t62 (@list @t40) (@list @t19))) % 0.29/0.56 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t63)) % 0.29/0.56 (step @p70 :rule quant-miniscope-or :args ((= @t61 @t63))) % 0.29/0.56 (step @p71 :rule trans :premises (@p70 @p69)) % 0.29/0.56 (step @p72 :rule symm :premises (@p71)) % 0.29/0.56 (step @p73 :rule cong :premises (@p72) :args ((forall @t24 (or @t65 @t39)))) % 0.29/0.56 (step @p74 :rule trans :premises (@p73 @p66)) % 0.29/0.56 (step @p75 :rule refl :args (@t39)) % 0.29/0.56 (step @p76 :rule refl :args (@t18)) % 0.29/0.56 (step @p77 :rule cong :premises (@p76 @p75) :args ((= @t18 @t39))) % 0.29/0.56 (step @p78 :rule symm :premises (@p77)) % 0.29/0.56 (step @p79 :rule eq_resolve :premises (@p76 @p78)) % 0.29/0.56 (step @p80 :rule refl :args (@t65)) % 0.29/0.56 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t66)) % 0.29/0.56 (step @p82 :rule cong :premises (@p81) :args ((forall @t24 @t66))) % 0.29/0.56 (step @p83 :rule trans :premises (@p82 @p74)) % 0.29/0.56 (step @p84 :rule bool-double-not-elim :args (@t65)) % 0.29/0.56 (step @p85 :rule nary_cong :premises (@p84 @p76) :args ((or (not @t67) @t18))) % 0.29/0.56 (step @p86 :rule bool-impl-elim :args (@t67 @t18)) % 0.29/0.56 (step @p87 :rule trans :premises (@p86 @p85)) % 0.29/0.56 (step @p88 :rule cong :premises (@p87) :args ((forall @t24 (=> @t67 @t18)))) % 0.29/0.56 (step @p89 :rule trans :premises (@p88 @p83)) % 0.29/0.56 (step @p90 :rule refl :args (@t18)) % 0.29/0.56 (step @p91 :rule refl :args (@t64)) % 0.29/0.56 (step @p92 :rule refl :args (@t20)) % 0.29/0.56 (step @p93 :rule cong :premises (@p92 @p91) :args ((= @t20 @t64))) % 0.29/0.56 (step @p94 :rule symm :premises (@p93)) % 0.29/0.56 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.29/0.56 (step @p96 :rule cong :premises (@p95) :args (@t68)) % 0.29/0.56 (step @p97 :rule cong :premises (@p96) :args (@t69)) % 0.29/0.56 (step @p98 :rule cong :premises (@p97) :args (@t70)) % 0.29/0.56 (step @p99 :rule exists-elim :args ((= @t22 @t70))) % 0.29/0.56 (step @p100 :rule trans :premises (@p99 @p98)) % 0.29/0.56 (step @p101 :rule cong :premises (@p100 @p90) :args (@t23)) % 0.29/0.56 (step @p102 :rule cong :premises (@p101) :args (@t25)) % 0.29/0.56 (step @p103 :rule trans :premises (@p102 @p89)) % 0.29/0.56 (step @p104 :rule refl :args (@t26)) % 0.29/0.56 (step @p105 :rule nary_cong :premises (@p104 @p103 @p65) :args (@t27)) % 0.29/0.56 (step @p106 :rule cong :premises (@p105 @p33) :args (@t28)) % 0.29/0.56 (step @p107 :rule cong :premises (@p106) :args (@t29)) % 0.29/0.56 (step @p108 :rule trans :premises (@p107 @p13)) % 0.29/0.56 (step @p109 :rule eq_resolve :premises (@p1 @p108)) % 0.29/0.56 (step @p110 :rule not_implies_elim1 :premises (@p109)) % 0.29/0.56 (step @p111 :rule and_elim :premises (@p110) :args (2)) % 0.29/0.56 (step @p112 :rule not_implies_elim2 :premises (@p109)) % 0.29/0.56 (step @p113 :rule not_not_elim :premises (@p112)) % 0.29/0.56 (step @p114 :rule instantiate :premises (@p113) :args ((@list tptp.cA))) % 0.29/0.56 (step @p115 :rule and_elim :premises (@p110) :args (1)) % 0.29/0.56 (step @p116 :rule instantiate :premises (@p115) :args ((@list tptp.cA tptp.cB))) % 0.29/0.56 (step @p117 :rule and_elim :premises (@p110) :args (0)) % 0.29/0.56 (step @p118 :rule cnf_or_pos :args (@t73)) % 0.29/0.56 (step @p119 :rule reordering :premises (@p118) :args ((or @t72 @t71 (not @t73)))) % 0.29/0.56 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p116) :args (@t71 @t74 (@list @t44 @t73))) % 0.29/0.56 (step @p121 :rule cnf_or_pos :args (@t78)) % 0.29/0.56 (step @p122 :rule reordering :premises (@p121) :args ((or @t75 @t77 (not @t78)))) % 0.29/0.56 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p114) :args (@t77 @t74 (@list @t71 @t78))) % 0.29/0.56 (step @p124 :rule cnf_or_pos :args (@t79)) % 0.29/0.56 (step @p125 :rule reordering :premises (@p124) :args ((or @t75 @t76 @t80))) % 0.29/0.56 (step @p126 :rule chain_m_resolution :premises (@p125 @p120 @p123) :args (@t80 (@list false true) (@list @t71 @t76))) % 0.29/0.56 (assume-push @p133 @t38) % 0.29/0.56 (step @p128 :rule instantiate :premises (@p111) :args ((@list tptp.cA tptp.cA tptp.cB))) % 0.29/0.56 (step-pop @p134 :rule scope :premises (@p128)) % 0.29/0.56 (step @p129 :rule process_scope :premises (@p134) :args (@t79)) % 0.29/0.56 (step @p131 :rule implies_elim :premises (@p129)) % 0.29/0.56 (step @p132 false :rule chain_m_resolution :premises (@p131 @p126 @p111) :args (false (@list true false) (@list @t79 @t38))) % 0.29/0.56 ) % 0.29/0.56 % SZS output end Proof % 0.29/0.56 % cvc5 exiting %------------------------------------------------------------------------------