%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO161^5 : 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 : n018.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 09:12:08 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO161^5 : 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 : n018.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 23:59:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.38/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "Xx" $$unsorted)) % 0.38/0.58 (define @t2 () (_ tptp.cP @t1)) % 0.38/0.58 (define @t3 () (@list @t1)) % 0.38/0.58 (define @t4 () (exists @t3 @t2)) % 0.38/0.58 (define @t5 () (@var "Xy" $$unsorted)) % 0.38/0.58 (define @t6 () (_ tptp.cP @t5)) % 0.38/0.58 (define @t7 () (@list @t5)) % 0.38/0.58 (define @t8 () (forall @t7 @t6)) % 0.38/0.58 (define @t9 () (=> @t8 @t4)) % 0.38/0.58 (define @t10 () (=> @t4 @t8)) % 0.38/0.58 (define @t11 () (and @t10 @t9)) % 0.38/0.58 (define @t12 () (and (=> @t2 @t6) (=> @t6 @t2))) % 0.38/0.58 (define @t13 () (forall @t7 @t12)) % 0.38/0.58 (define @t14 () (exists @t3 @t13)) % 0.38/0.58 (define @t15 () (=> @t14 @t11)) % 0.38/0.58 (define @t16 () (not @t15)) % 0.38/0.58 (define @t17 () (tptp.cP @t1)) % 0.38/0.58 (define @t18 () (not @t17)) % 0.38/0.58 (define @t19 () (forall @t3 @t18)) % 0.38/0.58 (define @t20 () (not @t19)) % 0.38/0.58 (define @t21 () (tptp.cP @t5)) % 0.38/0.58 (define @t22 () (forall @t7 @t21)) % 0.38/0.58 (define @t23 () (=> @t22 @t20)) % 0.38/0.58 (define @t24 () (@var "BOUND_VARIABLE_7438" $$unsorted)) % 0.38/0.58 (define @t25 () (@list @t24)) % 0.38/0.58 (define @t26 () (not @t2)) % 0.38/0.58 (define @t27 () (forall @t3 @t26)) % 0.38/0.58 (define @t28 () (not @t27)) % 0.38/0.58 (define @t29 () (tptp.cP @t24)) % 0.38/0.58 (define @t30 () (@list @t24)) % 0.38/0.58 (define @t31 () (forall @t30 (not @t29))) % 0.38/0.58 (define @t32 () (not @t31)) % 0.38/0.58 (define @t33 () (and @t26 @t32)) % 0.38/0.58 (define @t34 () (@var "BOUND_VARIABLE_7432" $$unsorted)) % 0.38/0.58 (define @t35 () (tptp.cP @t34)) % 0.38/0.58 (define @t36 () (@list @t34)) % 0.38/0.58 (define @t37 () (forall @t36 @t35)) % 0.38/0.58 (define @t38 () (not @t37)) % 0.38/0.58 (define @t39 () (and @t2 @t38)) % 0.38/0.58 (define @t40 () (or @t39 @t33)) % 0.38/0.58 (define @t41 () (or @t2 @t31)) % 0.38/0.58 (define @t42 () (or @t26 @t37)) % 0.38/0.58 (define @t43 () (and @t42 @t41)) % 0.38/0.58 (define @t44 () (forall @t3 (not @t43))) % 0.38/0.58 (define @t45 () (not @t44)) % 0.38/0.58 (define @t46 () (_ tptp.cP @t24)) % 0.38/0.58 (define @t47 () (not @t46)) % 0.38/0.58 (define @t48 () (forall @t30 @t47)) % 0.38/0.58 (define @t49 () (or @t2 @t48)) % 0.38/0.58 (define @t50 () (or @t2 @t47)) % 0.38/0.58 (define @t51 () (or @t47 @t2)) % 0.38/0.58 (define @t52 () (forall @t30 @t51)) % 0.38/0.58 (define @t53 () (_ tptp.cP @t34)) % 0.38/0.58 (define @t54 () (forall @t36 @t53)) % 0.38/0.58 (define @t55 () (or @t26 @t54)) % 0.38/0.58 (define @t56 () (forall @t36 (or @t26 @t53))) % 0.38/0.58 (define @t57 () (or (not @t6) @t2)) % 0.38/0.58 (define @t58 () (forall @t7 @t57)) % 0.38/0.58 (define @t59 () (@list @t5)) % 0.38/0.58 (define @t60 () (or @t26 @t6)) % 0.38/0.58 (define @t61 () (forall @t7 @t60)) % 0.38/0.58 (define @t62 () (@list @t34)) % 0.38/0.58 (define @t63 () (and @t61 @t58)) % 0.38/0.58 (define @t64 () (@quantifiers_skolemize (forall @t3 (or (and @t17 @t38) (and @t18 @t32))) 0)) % 0.38/0.58 (define @t65 () (tptp.cP @t64)) % 0.38/0.58 (define @t66 () (not @t65)) % 0.38/0.58 (define @t67 () (and @t66 @t32)) % 0.38/0.58 (define @t68 () (and @t65 @t38)) % 0.38/0.58 (define @t69 () (or @t68 @t67)) % 0.38/0.58 (define @t70 () (@list true)) % 0.38/0.58 (define @t71 () (@list @t69)) % 0.38/0.58 (define @t72 () (=> @t20 @t22)) % 0.38/0.58 (define @t73 () (@list false)) % 0.38/0.58 (define @t74 () (@list @t64)) % 0.38/0.58 (assume @p1 @t16) % 0.38/0.58 (assume @p2 true) % 0.38/0.58 (step @p3 :rule bool-double-not-elim :args (@t19)) % 0.38/0.58 (step @p4 :rule refl :args (@t23)) % 0.38/0.58 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t23 (not @t20)))) % 0.38/0.58 (step @p6 :rule cnf_implies_neg2 :args (@t23)) % 0.38/0.58 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 0.38/0.58 (step @p8 :rule reordering :premises (@p7) :args ((or @t19 @t23))) % 0.38/0.58 (step @p9 :rule alpha_equiv :args (@t19 (@list @t1) @t25)) % 0.38/0.58 (step @p10 :rule symm :premises (@p9)) % 0.38/0.58 (step @p11 :rule equiv_elim1 :premises (@p10)) % 0.38/0.58 (step @p12 :rule refl :args (@t17)) % 0.38/0.58 (step @p13 :rule refl :args (@t2)) % 0.38/0.58 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t2 @t17))) % 0.38/0.58 (step @p15 :rule symm :premises (@p14)) % 0.38/0.58 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.38/0.58 (step @p17 :rule cong :premises (@p16) :args (@t26)) % 0.38/0.58 (step @p18 :rule cong :premises (@p17) :args (@t27)) % 0.38/0.58 (step @p19 :rule cong :premises (@p18) :args (@t28)) % 0.38/0.58 (step @p20 :rule exists-elim :args ((= @t4 @t28))) % 0.38/0.58 (step @p21 :rule trans :premises (@p20 @p19)) % 0.38/0.58 (step @p22 :rule refl :args (@t21)) % 0.38/0.58 (step @p23 :rule refl :args (@t6)) % 0.38/0.58 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t6 @t21))) % 0.38/0.58 (step @p25 :rule symm :premises (@p24)) % 0.38/0.58 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.38/0.58 (step @p27 :rule cong :premises (@p26) :args (@t8)) % 0.38/0.58 (step @p28 :rule cong :premises (@p27 @p21) :args (@t9)) % 0.38/0.58 (step @p29 :rule cong :premises (@p21 @p27) :args (@t10)) % 0.38/0.58 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t11)) % 0.38/0.58 (step @p31 :rule refl :args (@t32)) % 0.38/0.58 (step @p32 :rule nary_cong :premises (@p17 @p31) :args (@t33)) % 0.38/0.58 (step @p33 :rule refl :args (@t38)) % 0.38/0.58 (step @p34 :rule nary_cong :premises (@p16 @p33) :args (@t39)) % 0.38/0.58 (step @p35 :rule nary_cong :premises (@p34 @p32) :args (@t40)) % 0.38/0.58 (step @p36 :rule cong :premises (@p35) :args ((forall @t3 @t40))) % 0.38/0.58 (step @p37 :rule bool-or-de-morgan :args (@t2 @t31 false)) % 0.38/0.58 (step @p38 :rule bool-double-not-elim :args (@t2)) % 0.38/0.58 (step @p39 :rule nary_cong :premises (@p38 @p33) :args ((and (not @t26) @t38))) % 0.38/0.58 (step @p40 :rule bool-or-de-morgan :args (@t26 @t37 false)) % 0.38/0.58 (step @p41 :rule trans :premises (@p40 @p39)) % 0.38/0.58 (step @p42 :rule nary_cong :premises (@p41 @p37) :args ((or (not @t42) (not @t41)))) % 0.38/0.58 (step @p43 :rule bool-and-de-morgan :args (@t42 @t41 true)) % 0.38/0.58 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.58 (step @p45 :rule cong :premises (@p44) :args (@t44)) % 0.38/0.58 (step @p46 :rule trans :premises (@p45 @p36)) % 0.38/0.58 (step @p47 :rule cong :premises (@p46) :args (@t45)) % 0.38/0.58 (step @p48 :rule exists-elim :args ((= (exists @t3 @t43) @t45))) % 0.38/0.58 (step @p49 :rule trans :premises (@p48 @p47)) % 0.38/0.58 (step @p50 :rule refl :args (@t29)) % 0.38/0.58 (step @p51 :rule refl :args (@t46)) % 0.38/0.58 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t46 @t29))) % 0.38/0.58 (step @p53 :rule symm :premises (@p52)) % 0.38/0.58 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.38/0.58 (step @p55 :rule cong :premises (@p54) :args (@t47)) % 0.38/0.58 (step @p56 :rule cong :premises (@p55) :args (@t48)) % 0.38/0.58 (step @p57 :rule refl :args (@t2)) % 0.38/0.58 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t49)) % 0.38/0.58 (step @p59 :rule quant-miniscope-or :args ((= (forall @t30 @t50) @t49))) % 0.38/0.58 (step @p60 :rule aci_norm :args ((= @t51 @t50))) % 0.38/0.58 (step @p61 :rule cong :premises (@p60) :args (@t52)) % 0.38/0.58 (step @p62 :rule trans :premises (@p61 @p59)) % 0.38/0.58 (step @p63 :rule trans :premises (@p62 @p58)) % 0.38/0.58 (step @p64 :rule refl :args (@t35)) % 0.38/0.58 (step @p65 :rule refl :args (@t53)) % 0.38/0.58 (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t53 @t35))) % 0.38/0.58 (step @p67 :rule symm :premises (@p66)) % 0.38/0.58 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 0.38/0.58 (step @p69 :rule cong :premises (@p68) :args (@t54)) % 0.38/0.58 (step @p70 :rule refl :args (@t26)) % 0.38/0.58 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t55)) % 0.38/0.58 (step @p72 :rule quant-miniscope-or :args ((= @t56 @t55))) % 0.38/0.58 (step @p73 :rule trans :premises (@p72 @p71)) % 0.38/0.58 (step @p74 :rule nary_cong :premises (@p73 @p63) :args ((and @t56 @t52))) % 0.38/0.58 (step @p75 :rule alpha_equiv :args (@t58 @t59 @t25)) % 0.38/0.58 (step @p76 :rule alpha_equiv :args (@t61 @t59 @t62)) % 0.38/0.58 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t63)) % 0.38/0.58 (step @p78 :rule quant-miniscope-and :args ((= (forall @t7 (and @t60 @t57)) @t63))) % 0.38/0.58 (step @p79 :rule trans :premises (@p78 @p77)) % 0.38/0.58 (step @p80 :rule trans :premises (@p79 @p74)) % 0.38/0.58 (step @p81 :rule bool-impl-elim :args (@t6 @t2)) % 0.38/0.58 (step @p82 :rule bool-impl-elim :args (@t2 @t6)) % 0.38/0.58 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t12)) % 0.38/0.58 (step @p84 :rule cong :premises (@p83) :args (@t13)) % 0.38/0.58 (step @p85 :rule trans :premises (@p84 @p80)) % 0.38/0.58 (step @p86 :rule cong :premises (@p85) :args (@t14)) % 0.38/0.58 (step @p87 :rule trans :premises (@p86 @p49)) % 0.38/0.58 (step @p88 :rule cong :premises (@p87 @p30) :args (@t15)) % 0.38/0.58 (step @p89 :rule cong :premises (@p88) :args (@t16)) % 0.38/0.58 (step @p90 :rule eq_resolve :premises (@p1 @p89)) % 0.38/0.58 (step @p91 :rule not_implies_elim2 :premises (@p90)) % 0.38/0.58 (step @p92 :rule not_and :premises (@p91)) % 0.38/0.58 (step @p93 :rule not_implies_elim1 :premises (@p90)) % 0.38/0.58 (step @p94 :rule skolemize :premises (@p93)) % 0.38/0.58 (step @p95 :rule cnf_or_neg :args (@t69 1)) % 0.38/0.58 (step @p96 :rule chain_m_resolution :premises (@p95 @p94) :args ((not @t67) @t70 @t71)) % 0.38/0.58 (step @p97 :rule bool-double-not-elim :args (@t31)) % 0.38/0.58 (step @p98 :rule bool-double-not-elim :args (@t65)) % 0.38/0.58 (step @p99 :rule refl :args (@t67)) % 0.38/0.58 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97) :args ((or @t67 (not @t66) (not @t32)))) % 0.38/0.58 (step @p101 :rule cnf_and_neg :args (@t67)) % 0.38/0.58 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.38/0.58 (step @p103 :rule reordering :premises (@p102) :args ((or @t31 @t65 @t67))) % 0.38/0.58 (step @p104 :rule cnf_implies_neg2 :args (@t72)) % 0.38/0.59 (step @p105 :rule cnf_or_neg :args (@t69 0)) % 0.38/0.59 (step @p106 :rule chain_m_resolution :premises (@p105 @p94) :args ((not @t68) @t70 @t71)) % 0.38/0.59 (step @p107 :rule bool-double-not-elim :args (@t37)) % 0.38/0.59 (step @p108 :rule refl :args (@t66)) % 0.38/0.59 (step @p109 :rule refl :args (@t68)) % 0.38/0.59 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107) :args ((or @t68 @t66 (not @t38)))) % 0.38/0.59 (step @p111 :rule cnf_and_neg :args (@t68)) % 0.38/0.59 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.38/0.59 (step @p113 :rule reordering :premises (@p112) :args ((or @t37 @t68 @t66))) % 0.38/0.59 (step @p114 :rule alpha_equiv :args (@t22 @t59 @t62)) % 0.38/0.59 (step @p115 :rule symm :premises (@p114)) % 0.38/0.59 (step @p116 :rule equiv_elim1 :premises (@p115)) % 0.38/0.59 (step @p117 :rule chain_m_resolution :premises (@p116 @p113 @p106 @p104 @p103 @p96 @p92 @p11 @p8) :args (@t19 (@list false true true false true true true false) (@list @t37 @t68 @t22 @t65 @t67 @t72 @t31 @t23))) % 0.38/0.59 (step @p118 :rule cnf_implies_neg1 :args (@t72)) % 0.38/0.59 (step @p119 :rule reordering :premises (@p118) :args ((or @t20 @t72))) % 0.38/0.59 (step @p120 :rule chain_m_resolution :premises (@p119 @p117) :args (@t72 @t73 (@list @t19))) % 0.38/0.59 (step @p121 :rule chain_m_resolution :premises (@p92 @p120) :args ((not @t23) @t73 (@list @t72))) % 0.38/0.59 (step @p122 :rule cnf_implies_neg1 :args (@t23)) % 0.38/0.59 (step @p123 :rule reordering :premises (@p122) :args ((or @t22 @t23))) % 0.38/0.59 (step @p124 :rule chain_m_resolution :premises (@p123 @p121) :args (@t22 @t70 (@list @t23))) % 0.38/0.59 (step @p125 :rule instantiate :premises (@p124) :args (@t74)) % 0.38/0.59 (assume-push @p132 @t19) % 0.38/0.59 (step @p127 :rule instantiate :premises (@p117) :args (@t74)) % 0.38/0.59 (step-pop @p133 :rule scope :premises (@p127)) % 0.38/0.59 (step @p128 :rule process_scope :premises (@p133) :args (@t66)) % 0.38/0.59 (step @p130 :rule implies_elim :premises (@p128)) % 0.38/0.59 (step @p131 false :rule chain_m_resolution :premises (@p130 @p125 @p117) :args (false (@list false false) (@list @t65 @t19))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------