%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV197^5 : 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 : n027.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 08:55:36 AM UTC 2026 % Result : Theorem 0.38s 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 : SEV197^5 : TPTP v9.2.1. Released v4.0.0. % 0.14/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n027.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 18:18:06 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort tptp.iS 0) % 0.38/0.56 (declare-const tptp.cP (-> tptp.iS tptp.iS tptp.iS)) % 0.38/0.56 (declare-const tptp.c0 tptp.iS) % 0.38/0.56 (define @t1 () (@var "Xy" tptp.iS)) % 0.38/0.56 (define @t2 () (@var "Xx" tptp.iS)) % 0.38/0.56 (define @t3 () (_ tptp.cP @t2)) % 0.38/0.56 (define @t4 () (_ @t3 @t1)) % 0.38/0.56 (define @t5 () (not (= @t4 tptp.c0))) % 0.38/0.56 (define @t6 () (@list @t2 @t1)) % 0.38/0.56 (define @t7 () (forall @t6 @t5)) % 0.38/0.56 (define @t8 () (@var "Xv" tptp.iS)) % 0.38/0.56 (define @t9 () (@var "Xu" tptp.iS)) % 0.38/0.56 (define @t10 () (and (= @t2 @t1) (= @t9 @t8))) % 0.38/0.56 (define @t11 () (_ (_ tptp.cP @t1) @t8)) % 0.38/0.56 (define @t12 () (_ @t3 @t9)) % 0.38/0.56 (define @t13 () (= @t12 @t11)) % 0.38/0.56 (define @t14 () (@list @t2 @t1 @t9 @t8)) % 0.38/0.56 (define @t15 () (forall @t14 (=> @t13 @t10))) % 0.38/0.56 (define @t16 () (and @t15 @t7)) % 0.38/0.56 (define @t17 () (@var "X" (-> tptp.iS Bool))) % 0.38/0.56 (define @t18 () (_ @t17 @t2)) % 0.38/0.56 (define @t19 () (@list @t2)) % 0.38/0.56 (define @t20 () (forall @t19 @t18)) % 0.38/0.56 (define @t21 () (_ @t17 @t4)) % 0.38/0.56 (define @t22 () (_ @t17 @t1)) % 0.38/0.56 (define @t23 () (and @t18 @t22)) % 0.38/0.56 (define @t24 () (forall @t6 (=> @t23 @t21))) % 0.38/0.56 (define @t25 () (_ @t17 tptp.c0)) % 0.38/0.56 (define @t26 () (and @t25 @t24)) % 0.38/0.56 (define @t27 () (=> @t26 @t20)) % 0.38/0.56 (define @t28 () (@list @t17)) % 0.38/0.56 (define @t29 () (forall @t28 @t27)) % 0.38/0.56 (define @t30 () (and @t7 @t15 @t29)) % 0.38/0.56 (define @t31 () (=> @t30 @t16)) % 0.38/0.56 (define @t32 () (not @t31)) % 0.38/0.56 (define @t33 () (tptp.cP @t2 @t1)) % 0.38/0.56 (define @t34 () (= tptp.c0 @t4)) % 0.38/0.56 (define @t35 () (not @t34)) % 0.38/0.56 (define @t36 () (tptp.cP @t1 @t8)) % 0.38/0.56 (define @t37 () (tptp.cP @t2 @t9)) % 0.38/0.56 (define @t38 () (not @t13)) % 0.38/0.56 (define @t39 () (or @t38 @t10)) % 0.38/0.56 (define @t40 () (@var "BOUND_VARIABLE_7494" tptp.iS)) % 0.38/0.56 (define @t41 () (_ @t17 @t40)) % 0.38/0.56 (define @t42 () (_ @t17 @t33)) % 0.38/0.56 (define @t43 () (_ @t17 @t1)) % 0.38/0.56 (define @t44 () (_ @t17 @t2)) % 0.38/0.56 (define @t45 () (forall @t6 (or (not @t44) (not @t43) @t42))) % 0.38/0.56 (define @t46 () (not @t45)) % 0.38/0.56 (define @t47 () (_ @t17 tptp.c0)) % 0.38/0.56 (define @t48 () (not @t47)) % 0.38/0.56 (define @t49 () (or @t48 @t46 @t41)) % 0.38/0.56 (define @t50 () (@list @t40)) % 0.38/0.56 (define @t51 () (forall @t50 @t49)) % 0.38/0.56 (define @t52 () (forall @t50 @t41)) % 0.38/0.56 (define @t53 () (or @t48 @t46 @t52)) % 0.38/0.56 (define @t54 () (forall @t19 @t44)) % 0.38/0.56 (define @t55 () (not @t25)) % 0.38/0.56 (define @t56 () (or @t55 @t46 @t54)) % 0.38/0.56 (define @t57 () (and @t25 @t45)) % 0.38/0.56 (define @t58 () (not @t22)) % 0.38/0.56 (define @t59 () (not @t18)) % 0.38/0.56 (define @t60 () (or @t59 @t58 @t21)) % 0.38/0.56 (assume @p1 @t32) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule refl :args (@t33)) % 0.38/0.56 (step @p4 :rule refl :args (@t4)) % 0.38/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t4 @t33))) % 0.38/0.56 (step @p6 :rule symm :premises (@p5)) % 0.38/0.56 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.38/0.56 (step @p8 :rule refl :args (tptp.c0)) % 0.38/0.56 (step @p9 :rule cong :premises (@p8 @p7) :args (@t34)) % 0.38/0.56 (step @p10 :rule cong :premises (@p9) :args (@t35)) % 0.38/0.56 (step @p11 :rule cong :premises (@p10) :args ((forall @t6 @t35))) % 0.38/0.56 (step @p12 :rule eq-symm :args (@t4 tptp.c0)) % 0.38/0.56 (step @p13 :rule cong :premises (@p12) :args (@t5)) % 0.38/0.56 (step @p14 :rule cong :premises (@p13) :args (@t7)) % 0.38/0.56 (step @p15 :rule trans :premises (@p14 @p11)) % 0.38/0.56 (step @p16 :rule refl :args (@t10)) % 0.38/0.56 (step @p17 :rule refl :args (@t36)) % 0.38/0.56 (step @p18 :rule refl :args (@t11)) % 0.38/0.56 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t11 @t36))) % 0.38/0.56 (step @p20 :rule symm :premises (@p19)) % 0.38/0.56 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.38/0.56 (step @p22 :rule refl :args (@t37)) % 0.38/0.56 (step @p23 :rule refl :args (@t12)) % 0.38/0.56 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t12 @t37))) % 0.38/0.56 (step @p25 :rule symm :premises (@p24)) % 0.38/0.56 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.38/0.56 (step @p27 :rule cong :premises (@p26 @p21) :args (@t13)) % 0.38/0.56 (step @p28 :rule cong :premises (@p27) :args (@t38)) % 0.38/0.56 (step @p29 :rule nary_cong :premises (@p28 @p16) :args (@t39)) % 0.38/0.56 (step @p30 :rule cong :premises (@p29) :args ((forall @t14 @t39))) % 0.38/0.56 (step @p31 :rule bool-impl-elim :args (@t13 @t10)) % 0.38/0.56 (step @p32 :rule cong :premises (@p31) :args (@t15)) % 0.38/0.56 (step @p33 :rule trans :premises (@p32 @p30)) % 0.38/0.56 (step @p34 :rule nary_cong :premises (@p33 @p15) :args (@t16)) % 0.38/0.56 (step @p35 :rule quant-merge-prenex :args ((= (forall @t28 @t51) (forall (@list @t17 @t40) @t49)))) % 0.38/0.56 (step @p36 :rule alpha_equiv :args (@t52 (@list @t40) (@list @t2))) % 0.38/0.57 (step @p37 :rule refl :args (@t46)) % 0.38/0.57 (step @p38 :rule refl :args (@t48)) % 0.38/0.57 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36) :args (@t53)) % 0.38/0.57 (step @p40 :rule quant-miniscope-or :args ((= @t51 @t53))) % 0.38/0.57 (step @p41 :rule trans :premises (@p40 @p39)) % 0.38/0.57 (step @p42 :rule symm :premises (@p41)) % 0.38/0.57 (step @p43 :rule cong :premises (@p42) :args ((forall @t28 (or @t48 @t46 @t54)))) % 0.38/0.57 (step @p44 :rule trans :premises (@p43 @p35)) % 0.38/0.57 (step @p45 :rule refl :args (@t54)) % 0.38/0.57 (step @p46 :rule refl :args (@t47)) % 0.38/0.57 (step @p47 :rule refl :args (@t25)) % 0.38/0.57 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t25 @t47))) % 0.38/0.57 (step @p49 :rule symm :premises (@p48)) % 0.38/0.57 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.38/0.57 (step @p51 :rule cong :premises (@p50) :args (@t55)) % 0.38/0.57 (step @p52 :rule nary_cong :premises (@p51 @p37 @p45) :args (@t56)) % 0.38/0.57 (step @p53 :rule cong :premises (@p52) :args ((forall @t28 @t56))) % 0.38/0.57 (step @p54 :rule trans :premises (@p53 @p44)) % 0.38/0.57 (step @p55 :rule aci_norm :args ((= (or (or @t55 @t46) @t54) @t56))) % 0.38/0.57 (step @p56 :rule bool-and-de-morgan :args (@t25 @t45 true)) % 0.38/0.57 (step @p57 :rule nary_cong :premises (@p56 @p45) :args ((or (not @t57) @t54))) % 0.38/0.57 (step @p58 :rule trans :premises (@p57 @p55)) % 0.38/0.57 (step @p59 :rule bool-impl-elim :args (@t57 @t54)) % 0.38/0.57 (step @p60 :rule trans :premises (@p59 @p58)) % 0.38/0.57 (step @p61 :rule cong :premises (@p60) :args ((forall @t28 (=> @t57 @t54)))) % 0.38/0.57 (step @p62 :rule trans :premises (@p61 @p54)) % 0.38/0.57 (step @p63 :rule refl :args (@t44)) % 0.38/0.57 (step @p64 :rule refl :args (@t18)) % 0.38/0.57 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t18 @t44))) % 0.38/0.57 (step @p66 :rule symm :premises (@p65)) % 0.38/0.57 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.38/0.57 (step @p68 :rule cong :premises (@p67) :args (@t20)) % 0.38/0.57 (step @p69 :rule refl :args ((_ @t17 @t4))) % 0.38/0.57 (step @p70 :rule cong :premises (@p3) :args (@t42)) % 0.38/0.57 (step @p71 :rule trans :premises (@p70 @p69)) % 0.38/0.57 (step @p72 :rule refl :args (@t17)) % 0.38/0.57 (step @p73 :rule ho_cong :premises (@p72 @p3)) % 0.38/0.57 (step @p74 :rule cong :premises (@p73 @p71) :args ((= (_ @t17 @t33) @t42))) % 0.38/0.57 (step @p75 :rule symm :premises (@p74)) % 0.38/0.57 (step @p76 :rule refl :args (@t21)) % 0.38/0.57 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.38/0.57 (step @p78 :rule ho_cong :premises (@p72 @p7)) % 0.38/0.57 (step @p79 :rule trans :premises (@p78 @p77)) % 0.38/0.57 (step @p80 :rule refl :args (@t43)) % 0.38/0.57 (step @p81 :rule refl :args (@t22)) % 0.38/0.57 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t22 @t43))) % 0.38/0.57 (step @p83 :rule symm :premises (@p82)) % 0.38/0.57 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 0.38/0.57 (step @p85 :rule cong :premises (@p84) :args (@t58)) % 0.38/0.57 (step @p86 :rule cong :premises (@p67) :args (@t59)) % 0.38/0.57 (step @p87 :rule nary_cong :premises (@p86 @p85 @p79) :args (@t60)) % 0.38/0.57 (step @p88 :rule cong :premises (@p87) :args ((forall @t6 @t60))) % 0.38/0.57 (step @p89 :rule aci_norm :args ((= (or (or @t59 @t58) @t21) @t60))) % 0.38/0.57 (step @p90 :rule bool-and-de-morgan :args (@t18 @t22 true)) % 0.38/0.57 (step @p91 :rule nary_cong :premises (@p90 @p76) :args ((or (not @t23) @t21))) % 0.38/0.57 (step @p92 :rule trans :premises (@p91 @p89)) % 0.38/0.57 (step @p93 :rule bool-impl-elim :args (@t23 @t21)) % 0.38/0.57 (step @p94 :rule trans :premises (@p93 @p92)) % 0.38/0.57 (step @p95 :rule cong :premises (@p94) :args (@t24)) % 0.38/0.57 (step @p96 :rule trans :premises (@p95 @p88)) % 0.38/0.57 (step @p97 :rule refl :args (@t25)) % 0.38/0.57 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t26)) % 0.38/0.57 (step @p99 :rule cong :premises (@p98 @p68) :args (@t27)) % 0.38/0.57 (step @p100 :rule cong :premises (@p99) :args (@t29)) % 0.38/0.57 (step @p101 :rule trans :premises (@p100 @p62)) % 0.38/0.57 (step @p102 :rule nary_cong :premises (@p15 @p33 @p101) :args (@t30)) % 0.38/0.57 (step @p103 :rule cong :premises (@p102 @p34) :args (@t31)) % 0.38/0.57 (step @p104 :rule cong :premises (@p103) :args (@t32)) % 0.38/0.57 (step @p105 :rule eq_resolve :premises (@p1 @p104)) % 0.38/0.57 (step @p106 :rule not_implies_elim2 :premises (@p105)) % 0.38/0.57 (step @p107 :rule not_implies_elim1 :premises (@p105)) % 0.38/0.57 (step @p108 :rule and_elim :premises (@p107) :args (0)) % 0.38/0.57 (step @p109 :rule and_elim :premises (@p107) :args (1)) % 0.38/0.57 (step @p110 :rule and_intro :premises (@p109 @p108)) % 0.38/0.57 (step @p111 false :rule contra :premises (@p110 @p106)) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------