%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN049^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 09:07:53 AM UTC 2026 % Result : Theorem 0.27s 0.54s % Output : Proof 0.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN049^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n028.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 23:19:20 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.48 %----Proving TH0 % 0.27/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.27/0.54 % SZS status Theorem % 0.27/0.54 % SZS output start Proof % 0.27/0.54 ( % 0.27/0.54 (declare-sort $$unsorted 0) % 0.27/0.54 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.27/0.54 (declare-const tptp.cQ (-> $$unsorted Bool)) % 0.27/0.54 (define @t1 () (@var "Xx" $$unsorted)) % 0.27/0.54 (define @t2 () (_ tptp.cQ @t1)) % 0.27/0.54 (define @t3 () (_ tptp.cP @t1)) % 0.27/0.54 (define @t4 () (=> @t3 @t2)) % 0.27/0.54 (define @t5 () (@var "Xz" $$unsorted)) % 0.27/0.54 (define @t6 () (_ tptp.cQ @t5)) % 0.27/0.54 (define @t7 () (@var "Xy" $$unsorted)) % 0.27/0.54 (define @t8 () (_ tptp.cP @t7)) % 0.27/0.54 (define @t9 () (=> @t8 @t6)) % 0.27/0.54 (define @t10 () (@list @t7 @t5)) % 0.27/0.54 (define @t11 () (forall @t10 (=> @t9 @t4))) % 0.27/0.54 (define @t12 () (@list @t1)) % 0.27/0.54 (define @t13 () (exists @t12 @t11)) % 0.27/0.54 (define @t14 () (not @t13)) % 0.27/0.54 (define @t15 () (@var "BOUND_VARIABLE_7442" $$unsorted)) % 0.27/0.54 (define @t16 () (tptp.cQ @t15)) % 0.27/0.54 (define @t17 () (@list @t15)) % 0.27/0.54 (define @t18 () (forall @t17 (not @t16))) % 0.27/0.54 (define @t19 () (@var "BOUND_VARIABLE_7433" $$unsorted)) % 0.27/0.54 (define @t20 () (tptp.cP @t19)) % 0.27/0.54 (define @t21 () (@list @t19)) % 0.27/0.54 (define @t22 () (forall @t21 @t20)) % 0.27/0.54 (define @t23 () (or (not @t22) (not @t18))) % 0.27/0.54 (define @t24 () (@var "BOUND_VARIABLE_7476" $$unsorted)) % 0.27/0.54 (define @t25 () (tptp.cQ @t24)) % 0.27/0.54 (define @t26 () (@list @t24)) % 0.27/0.54 (define @t27 () (forall @t26 (not @t25))) % 0.27/0.54 (define @t28 () (@var "BOUND_VARIABLE_7471" $$unsorted)) % 0.27/0.54 (define @t29 () (tptp.cP @t28)) % 0.27/0.54 (define @t30 () (@list @t28)) % 0.27/0.54 (define @t31 () (forall @t30 @t29)) % 0.27/0.54 (define @t32 () (_ tptp.cQ @t24)) % 0.27/0.54 (define @t33 () (not @t32)) % 0.27/0.54 (define @t34 () (forall @t26 @t33)) % 0.27/0.54 (define @t35 () (_ tptp.cP @t28)) % 0.27/0.54 (define @t36 () (forall @t30 @t35)) % 0.27/0.54 (define @t37 () (forall @t12 @t23)) % 0.27/0.54 (define @t38 () (not @t2)) % 0.27/0.54 (define @t39 () (forall @t12 @t38)) % 0.27/0.54 (define @t40 () (@list @t1)) % 0.27/0.54 (define @t41 () (@list @t24)) % 0.27/0.54 (define @t42 () (forall @t12 @t3)) % 0.27/0.54 (define @t43 () (@list @t28)) % 0.27/0.54 (define @t44 () (and @t42 @t39 @t37)) % 0.27/0.54 (define @t45 () (and @t22 @t18)) % 0.27/0.54 (define @t46 () (not @t45)) % 0.27/0.54 (define @t47 () (not @t3)) % 0.27/0.54 (define @t48 () (not @t47)) % 0.27/0.54 (define @t49 () (and @t48 @t38 @t46)) % 0.27/0.54 (define @t50 () (or @t47 @t2 @t45)) % 0.27/0.54 (define @t51 () (forall @t12 (not @t50))) % 0.27/0.54 (define @t52 () (not @t51)) % 0.27/0.54 (define @t53 () (_ tptp.cQ @t15)) % 0.27/0.54 (define @t54 () (not @t53)) % 0.27/0.54 (define @t55 () (forall @t17 @t54)) % 0.27/0.54 (define @t56 () (@var "BOUND_VARIABLE_7440" $$unsorted)) % 0.27/0.54 (define @t57 () (forall (@list @t56 @t15) @t54)) % 0.27/0.54 (define @t58 () (_ tptp.cP @t19)) % 0.27/0.54 (define @t59 () (forall @t21 @t58)) % 0.27/0.54 (define @t60 () (@var "BOUND_VARIABLE_7435" $$unsorted)) % 0.27/0.54 (define @t61 () (forall (@list @t19 @t60) @t58)) % 0.27/0.54 (define @t62 () (not @t6)) % 0.27/0.54 (define @t63 () (forall @t10 @t62)) % 0.27/0.54 (define @t64 () (@list @t7 @t5)) % 0.27/0.54 (define @t65 () (forall @t10 @t8)) % 0.27/0.54 (define @t66 () (and @t65 @t63)) % 0.27/0.54 (define @t67 () (and @t8 @t62)) % 0.27/0.54 (define @t68 () (forall @t10 @t67)) % 0.27/0.54 (define @t69 () (or @t47 @t2 @t68)) % 0.27/0.54 (define @t70 () (or @t47 @t2 @t67)) % 0.27/0.54 (define @t71 () (or @t67 @t47 @t2)) % 0.27/0.54 (define @t72 () (@list false)) % 0.27/0.54 (assume @p1 @t14) % 0.27/0.54 (assume @p2 true) % 0.27/0.54 (step @p3 :rule bool-double-not-elim :args ((and @t31 @t27 @t23))) % 0.27/0.54 (step @p4 :rule refl :args (@t23)) % 0.27/0.54 (step @p5 :rule refl :args (@t25)) % 0.27/0.54 (step @p6 :rule refl :args (@t32)) % 0.27/0.54 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t32 @t25))) % 0.27/0.54 (step @p8 :rule symm :premises (@p7)) % 0.27/0.54 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.27/0.54 (step @p10 :rule cong :premises (@p9) :args (@t33)) % 0.27/0.54 (step @p11 :rule cong :premises (@p10) :args (@t34)) % 0.27/0.54 (step @p12 :rule refl :args (@t29)) % 0.27/0.54 (step @p13 :rule refl :args (@t35)) % 0.27/0.54 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t35 @t29))) % 0.27/0.54 (step @p15 :rule symm :premises (@p14)) % 0.27/0.54 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.27/0.54 (step @p17 :rule cong :premises (@p16) :args (@t36)) % 0.27/0.54 (step @p18 :rule nary_cong :premises (@p17 @p11 @p4) :args ((and @t36 @t34 @t23))) % 0.27/0.54 (step @p19 :rule quant-unused-vars :args ((= @t37 @t23))) % 0.27/0.54 (step @p20 :rule alpha_equiv :args (@t39 @t40 @t41)) % 0.27/0.54 (step @p21 :rule alpha_equiv :args (@t42 @t40 @t43)) % 0.27/0.54 (step @p22 :rule nary_cong :premises (@p21 @p20 @p19) :args (@t44)) % 0.27/0.54 (step @p23 :rule quant-miniscope-and :args ((= (forall @t12 (and @t3 @t38 @t23)) @t44))) % 0.27/0.54 (step @p24 :rule trans :premises (@p23 @p22)) % 0.27/0.54 (step @p25 :rule trans :premises (@p24 @p18)) % 0.27/0.54 (step @p26 :rule bool-and-de-morgan :args (@t22 @t18 true)) % 0.27/0.54 (step @p27 :rule refl :args (@t38)) % 0.27/0.54 (step @p28 :rule refl :args (@t3)) % 0.27/0.54 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args ((and @t3 @t38 @t46))) % 0.27/0.54 (step @p30 :rule refl :args (@t46)) % 0.27/0.54 (step @p31 :rule bool-double-not-elim :args (@t3)) % 0.27/0.54 (step @p32 :rule nary_cong :premises (@p31 @p27 @p30) :args (@t49)) % 0.27/0.54 (step @p33 :rule aci_norm :args ((= (and @t48 (and @t38 @t46)) @t49))) % 0.27/0.54 (step @p34 :rule trans :premises (@p33 @p32)) % 0.27/0.54 (step @p35 :rule bool-or-de-morgan :args (@t2 @t45 false)) % 0.27/0.54 (step @p36 :rule refl :args (@t48)) % 0.27/0.54 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((and @t48 (not (or @t2 @t45))))) % 0.27/0.54 (step @p38 :rule bool-or-de-morgan :args (@t47 @t2 (or @t45))) % 0.27/0.54 (step @p39 :rule trans :premises (@p38 @p37)) % 0.27/0.54 (step @p40 :rule trans :premises (@p39 @p34)) % 0.27/0.54 (step @p41 :rule trans :premises (@p40 @p29)) % 0.27/0.54 (step @p42 :rule cong :premises (@p41) :args (@t51)) % 0.27/0.54 (step @p43 :rule trans :premises (@p42 @p25)) % 0.27/0.54 (step @p44 :rule cong :premises (@p43) :args (@t52)) % 0.27/0.54 (step @p45 :rule exists-elim :args ((= (exists @t12 @t50) @t52))) % 0.27/0.54 (step @p46 :rule trans :premises (@p45 @p44)) % 0.27/0.54 (step @p47 :rule refl :args (@t16)) % 0.27/0.54 (step @p48 :rule refl :args (@t53)) % 0.27/0.54 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t53 @t16))) % 0.27/0.54 (step @p50 :rule symm :premises (@p49)) % 0.27/0.54 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.27/0.54 (step @p52 :rule cong :premises (@p51) :args (@t54)) % 0.27/0.54 (step @p53 :rule cong :premises (@p52) :args (@t55)) % 0.27/0.54 (step @p54 :rule quant-unused-vars :args ((= @t57 @t55))) % 0.27/0.54 (step @p55 :rule trans :premises (@p54 @p53)) % 0.27/0.54 (step @p56 :rule refl :args (@t20)) % 0.27/0.54 (step @p57 :rule refl :args (@t58)) % 0.27/0.54 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t58 @t20))) % 0.27/0.54 (step @p59 :rule symm :premises (@p58)) % 0.27/0.54 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.27/0.54 (step @p61 :rule cong :premises (@p60) :args (@t59)) % 0.27/0.54 (step @p62 :rule quant-unused-vars :args ((= @t61 @t59))) % 0.27/0.54 (step @p63 :rule trans :premises (@p62 @p61)) % 0.27/0.54 (step @p64 :rule nary_cong :premises (@p63 @p55) :args ((and @t61 @t57))) % 0.27/0.54 (step @p65 :rule alpha_equiv :args (@t63 @t64 (@list @t56 @t15))) % 0.27/0.54 (step @p66 :rule alpha_equiv :args (@t65 @t64 (@list @t19 @t60))) % 0.27/0.54 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t66)) % 0.27/0.54 (step @p68 :rule quant-miniscope-and :args ((= @t68 @t66))) % 0.27/0.54 (step @p69 :rule trans :premises (@p68 @p67)) % 0.27/0.54 (step @p70 :rule trans :premises (@p69 @p64)) % 0.27/0.54 (step @p71 :rule refl :args (@t2)) % 0.27/0.54 (step @p72 :rule refl :args (@t47)) % 0.27/0.54 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70) :args (@t69)) % 0.27/0.54 (step @p74 :rule quant-miniscope-or :args ((= (forall @t10 @t70) @t69))) % 0.27/0.54 (step @p75 :rule aci_norm :args ((= @t71 @t70))) % 0.27/0.54 (step @p76 :rule cong :premises (@p75) :args ((forall @t10 @t71))) % 0.27/0.54 (step @p77 :rule trans :premises (@p76 @p74)) % 0.27/0.54 (step @p78 :rule trans :premises (@p77 @p73)) % 0.27/0.54 (step @p79 :rule aci_norm :args ((= (or @t67 (or @t47 @t2)) @t71))) % 0.27/0.54 (step @p80 :rule bool-impl-elim :args (@t3 @t2)) % 0.27/0.54 (step @p81 :rule bool-implies-de-morgan :args (@t8 @t6)) % 0.27/0.54 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or (not @t9) @t4))) % 0.27/0.54 (step @p83 :rule trans :premises (@p82 @p79)) % 0.27/0.54 (step @p84 :rule bool-impl-elim :args (@t9 @t4)) % 0.27/0.54 (step @p85 :rule trans :premises (@p84 @p83)) % 0.27/0.54 (step @p86 :rule cong :premises (@p85) :args (@t11)) % 0.27/0.54 (step @p87 :rule trans :premises (@p86 @p78)) % 0.27/0.54 (step @p88 :rule cong :premises (@p87) :args (@t13)) % 0.27/0.54 (step @p89 :rule trans :premises (@p88 @p46)) % 0.27/0.54 (step @p90 :rule cong :premises (@p89) :args (@t14)) % 0.27/0.54 (step @p91 :rule trans :premises (@p90 @p3)) % 0.27/0.54 (step @p92 :rule eq_resolve :premises (@p1 @p91)) % 0.27/0.54 (step @p93 :rule and_elim :premises (@p92) :args (0)) % 0.27/0.54 (step @p94 :rule alpha_equiv :args (@t31 @t43 (@list @t19))) % 0.27/0.54 (step @p95 :rule symm :premises (@p94)) % 0.27/0.54 (step @p96 :rule equiv_elim2 :premises (@p95)) % 0.27/0.54 (step @p97 :rule chain_m_resolution :premises (@p96 @p93) :args (@t22 @t72 (@list @t31))) % 0.27/0.54 (step @p98 :rule and_elim :premises (@p92) :args (1)) % 0.27/0.54 (step @p99 :rule alpha_equiv :args (@t27 @t41 (@list @t15))) % 0.27/0.54 (step @p100 :rule symm :premises (@p99)) % 0.27/0.54 (step @p101 :rule equiv_elim2 :premises (@p100)) % 0.27/0.54 (step @p102 :rule chain_m_resolution :premises (@p101 @p98) :args (@t18 @t72 (@list @t27))) % 0.27/0.55 (step @p103 :rule and_elim :premises (@p92) :args (2)) % 0.27/0.55 (step @p104 false :rule chain_m_resolution :premises (@p103 @p102 @p97) :args (false (@list false false) (@list @t18 @t22))) % 0.27/0.55 ) % 0.27/0.55 % SZS output end Proof % 0.27/0.55 % cvc5 exiting %------------------------------------------------------------------------------