%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV239^5 : 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 : n010.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 08:55:39 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV239^5 : 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 % 0.17/0.35 % Computer : n010.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:21:40 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.50 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort tptp.a 0) % 0.37/0.56 (declare-const tptp.y (-> tptp.a Bool)) % 0.37/0.56 (define @t1 () (@var "Xx" tptp.a)) % 0.37/0.56 (define @t2 () (@var "S" (-> tptp.a Bool))) % 0.37/0.56 (define @t3 () (_ @t2 @t1)) % 0.37/0.56 (define @t4 () (@var "Xx0" tptp.a)) % 0.37/0.56 (define @t5 () (@var "Xy" tptp.a)) % 0.37/0.56 (define @t6 () (_ (lambda (@list @t1 @t5) (= @t1 @t5)) @t4)) % 0.37/0.56 (define @t7 () (= @t2 @t6)) % 0.37/0.56 (define @t8 () (_ tptp.y @t4)) % 0.37/0.56 (define @t9 () (and @t8 @t7)) % 0.37/0.56 (define @t10 () (@list @t4)) % 0.37/0.56 (define @t11 () (exists @t10 @t9)) % 0.37/0.56 (define @t12 () (and @t11 @t3)) % 0.37/0.56 (define @t13 () (@list @t2)) % 0.37/0.56 (define @t14 () (exists @t13 @t12)) % 0.37/0.56 (define @t15 () (@list @t1)) % 0.37/0.56 (define @t16 () (lambda @t15 @t14)) % 0.37/0.56 (define @t17 () (= tptp.y @t16)) % 0.37/0.56 (define @t18 () (not @t17)) % 0.37/0.56 (define @t19 () (tptp.y @t1)) % 0.37/0.56 (define @t20 () (not @t19)) % 0.37/0.56 (define @t21 () (not (= @t1 @t1))) % 0.37/0.56 (define @t22 () (or @t21 @t20)) % 0.37/0.56 (define @t23 () (@var "BOUND_VARIABLE_7465" tptp.a)) % 0.37/0.56 (define @t24 () (not (tptp.y @t23))) % 0.37/0.56 (define @t25 () (= @t1 @t23)) % 0.37/0.56 (define @t26 () (not @t25)) % 0.37/0.56 (define @t27 () (@list @t23)) % 0.37/0.56 (define @t28 () (or @t26 @t26 @t24)) % 0.37/0.56 (define @t29 () (or @t26 @t24)) % 0.37/0.56 (define @t30 () (@list @t5)) % 0.37/0.56 (define @t31 () (lambda @t30 (= @t5 @t23))) % 0.37/0.56 (define @t32 () (not (= @t31 @t31))) % 0.37/0.56 (define @t33 () (_ @t31 @t1)) % 0.37/0.56 (define @t34 () (not @t33)) % 0.37/0.56 (define @t35 () (or @t34 @t24 @t32)) % 0.37/0.56 (define @t36 () (not (= @t2 @t31))) % 0.37/0.56 (define @t37 () (_ @t2 @t1)) % 0.37/0.56 (define @t38 () (not @t37)) % 0.37/0.56 (define @t39 () (or @t36 @t38 @t24 @t36)) % 0.37/0.56 (define @t40 () (or @t38 @t24 @t36)) % 0.37/0.56 (define @t41 () (forall @t13 @t40)) % 0.37/0.56 (define @t42 () (forall @t27 @t41)) % 0.37/0.56 (define @t43 () (forall (@list @t23 @t2) @t40)) % 0.37/0.56 (define @t44 () (@list @t2 @t23)) % 0.37/0.56 (define @t45 () (lambda @t30 (= @t23 @t5))) % 0.37/0.56 (define @t46 () (= @t2 @t45)) % 0.37/0.56 (define @t47 () (not @t46)) % 0.37/0.56 (define @t48 () (or @t38 @t24 @t47)) % 0.37/0.56 (define @t49 () (or @t24 @t47)) % 0.37/0.56 (define @t50 () (or @t49 @t38)) % 0.37/0.56 (define @t51 () (forall @t44 @t50)) % 0.37/0.56 (define @t52 () (forall @t27 @t50)) % 0.37/0.56 (define @t53 () (forall @t27 @t49)) % 0.37/0.56 (define @t54 () (or @t53 @t38)) % 0.37/0.56 (define @t55 () (lambda @t30 (= @t4 @t5))) % 0.37/0.56 (define @t56 () (= @t2 @t55)) % 0.37/0.56 (define @t57 () (not @t56)) % 0.37/0.56 (define @t58 () (tptp.y @t4)) % 0.37/0.56 (define @t59 () (forall @t10 (or (not @t58) @t57))) % 0.37/0.56 (define @t60 () (not @t3)) % 0.37/0.56 (define @t61 () (or @t59 @t60)) % 0.37/0.56 (define @t62 () (not @t59)) % 0.37/0.56 (define @t63 () (and @t62 @t3)) % 0.37/0.56 (define @t64 () (forall @t13 (not @t63))) % 0.37/0.56 (define @t65 () (not @t64)) % 0.37/0.56 (define @t66 () (not @t8)) % 0.37/0.56 (define @t67 () (or @t66 @t57)) % 0.37/0.56 (define @t68 () (and @t8 @t56)) % 0.37/0.56 (define @t69 () (forall @t10 (not @t68))) % 0.37/0.56 (define @t70 () (not @t69)) % 0.37/0.56 (assume @p1 @t18) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule evaluate :args ((not true))) % 0.37/0.56 (step @p4 :rule eq-refl :args (tptp.y)) % 0.37/0.56 (step @p5 :rule lambda-elim :args ((= (lambda @t15 @t19) tptp.y))) % 0.37/0.56 (step @p6 :rule bool-double-not-elim :args (@t19)) % 0.37/0.56 (step @p7 :rule aci_norm :args ((= (or false @t20) @t20))) % 0.37/0.56 (step @p8 :rule refl :args (@t20)) % 0.37/0.56 (step @p9 :rule eq-refl :args (@t1)) % 0.37/0.56 (step @p10 :rule cong :premises (@p9) :args (@t21)) % 0.37/0.56 (step @p11 :rule trans :premises (@p10 @p3)) % 0.37/0.56 (step @p12 :rule nary_cong :premises (@p11 @p8) :args (@t22)) % 0.37/0.56 (step @p13 :rule trans :premises (@p12 @p7)) % 0.37/0.56 (step @p14 :rule quant-var-elim-eq :args ((= (forall @t27 (or (not (= @t23 @t1)) @t26 @t24)) @t22))) % 0.37/0.56 (step @p15 :rule refl :args (@t24)) % 0.37/0.56 (step @p16 :rule refl :args (@t26)) % 0.37/0.56 (step @p17 :rule eq-symm :args (@t1 @t23)) % 0.37/0.56 (step @p18 :rule cong :premises (@p17) :args (@t26)) % 0.37/0.56 (step @p19 :rule nary_cong :premises (@p18 @p16 @p15) :args (@t28)) % 0.37/0.56 (step @p20 :rule aci_norm :args ((= @t29 @t28))) % 0.37/0.56 (step @p21 :rule trans :premises (@p20 @p19)) % 0.37/0.56 (step @p22 :rule cong :premises (@p21) :args ((forall @t27 @t29))) % 0.37/0.56 (step @p23 :rule trans :premises (@p22 @p14)) % 0.37/0.56 (step @p24 :rule trans :premises (@p23 @p13)) % 0.37/0.56 (step @p25 :rule aci_norm :args ((= (or @t26 @t24 false) @t29))) % 0.37/0.56 (step @p26 :rule eq-refl :args (@t31)) % 0.37/0.56 (step @p27 :rule cong :premises (@p26) :args (@t32)) % 0.37/0.56 (step @p28 :rule trans :premises (@p27 @p3)) % 0.37/0.56 (step @p29 :rule refl :args (@t24)) % 0.37/0.56 (step @p30 :rule beta-reduce :args ((= @t33 @t25))) % 0.37/0.56 (step @p31 :rule cong :premises (@p30) :args (@t34)) % 0.37/0.56 (step @p32 :rule nary_cong :premises (@p31 @p29 @p28) :args (@t35)) % 0.37/0.56 (step @p33 :rule trans :premises (@p32 @p25)) % 0.37/0.56 (step @p34 :rule cong :premises (@p33) :args ((forall @t27 @t35))) % 0.37/0.56 (step @p35 :rule trans :premises (@p34 @p24)) % 0.37/0.56 (step @p36 :rule quant-var-elim-eq :args ((= (forall @t13 @t39) @t35))) % 0.37/0.56 (step @p37 :rule aci_norm :args ((= @t40 @t39))) % 0.37/0.56 (step @p38 :rule cong :premises (@p37) :args (@t41)) % 0.37/0.56 (step @p39 :rule trans :premises (@p38 @p36)) % 0.37/0.56 (step @p40 :rule cong :premises (@p39) :args (@t42)) % 0.37/0.56 (step @p41 :rule quant-merge-prenex :args ((= @t42 @t43))) % 0.37/0.56 (step @p42 :rule symm :premises (@p41)) % 0.37/0.56 (step @p43 :rule quant_var_reordering :args ((= (forall @t44 @t40) @t43))) % 0.37/0.56 (step @p44 :rule trans :premises (@p43 @p42 @p40)) % 0.37/0.56 (step @p45 :rule trans :premises (@p44 @p35)) % 0.37/0.56 (step @p46 :rule eq-symm :args (@t23 @t5)) % 0.37/0.56 (step @p47 :rule cong :premises (@p46) :args (@t45)) % 0.37/0.56 (step @p48 :rule refl :args (@t2)) % 0.37/0.56 (step @p49 :rule cong :premises (@p48 @p47) :args (@t46)) % 0.37/0.56 (step @p50 :rule cong :premises (@p49) :args (@t47)) % 0.37/0.56 (step @p51 :rule refl :args (@t38)) % 0.37/0.56 (step @p52 :rule nary_cong :premises (@p51 @p29 @p50) :args (@t48)) % 0.37/0.56 (step @p53 :rule aci_norm :args ((= @t50 @t48))) % 0.37/0.56 (step @p54 :rule trans :premises (@p53 @p52)) % 0.37/0.56 (step @p55 :rule cong :premises (@p54) :args (@t51)) % 0.37/0.56 (step @p56 :rule trans :premises (@p55 @p45)) % 0.37/0.56 (step @p57 :rule quant-merge-prenex :args ((= (forall @t13 @t52) @t51))) % 0.37/0.56 (step @p58 :rule refl :args (@t38)) % 0.37/0.56 (step @p59 :rule alpha_equiv :args (@t53 (@list @t23) (@list @t4))) % 0.37/0.56 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t54)) % 0.37/0.56 (step @p61 :rule quant-miniscope-or :args ((= @t52 @t54))) % 0.37/0.56 (step @p62 :rule trans :premises (@p61 @p60)) % 0.37/0.56 (step @p63 :rule symm :premises (@p62)) % 0.37/0.56 (step @p64 :rule cong :premises (@p63) :args ((forall @t13 (or @t59 @t38)))) % 0.37/0.56 (step @p65 :rule trans :premises (@p64 @p57)) % 0.37/0.56 (step @p66 :rule trans :premises (@p65 @p56)) % 0.37/0.56 (step @p67 :rule refl :args (@t37)) % 0.37/0.56 (step @p68 :rule refl :args (@t3)) % 0.37/0.56 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t3 @t37))) % 0.37/0.56 (step @p70 :rule symm :premises (@p69)) % 0.37/0.56 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.37/0.56 (step @p72 :rule cong :premises (@p71) :args (@t60)) % 0.37/0.56 (step @p73 :rule refl :args (@t59)) % 0.37/0.56 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t61)) % 0.37/0.56 (step @p75 :rule cong :premises (@p74) :args ((forall @t13 @t61))) % 0.37/0.56 (step @p76 :rule trans :premises (@p75 @p66)) % 0.37/0.56 (step @p77 :rule refl :args (@t60)) % 0.37/0.56 (step @p78 :rule bool-double-not-elim :args (@t59)) % 0.37/0.56 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or (not @t62) @t60))) % 0.37/0.56 (step @p80 :rule bool-and-de-morgan :args (@t62 @t3 true)) % 0.37/0.56 (step @p81 :rule trans :premises (@p80 @p79)) % 0.37/0.56 (step @p82 :rule cong :premises (@p81) :args (@t64)) % 0.37/0.56 (step @p83 :rule trans :premises (@p82 @p76)) % 0.37/0.56 (step @p84 :rule cong :premises (@p83) :args (@t65)) % 0.37/0.56 (step @p85 :rule trans :premises (@p84 @p6)) % 0.37/0.56 (step @p86 :rule exists-elim :args ((= (exists @t13 @t63) @t65))) % 0.37/0.56 (step @p87 :rule trans :premises (@p86 @p85)) % 0.37/0.56 (step @p88 :rule refl :args (@t3)) % 0.37/0.56 (step @p89 :rule refl :args (@t57)) % 0.37/0.56 (step @p90 :rule refl :args (@t58)) % 0.37/0.56 (step @p91 :rule refl :args (@t8)) % 0.37/0.56 (step @p92 :rule cong :premises (@p91 @p90) :args ((= @t8 @t58))) % 0.37/0.56 (step @p93 :rule symm :premises (@p92)) % 0.37/0.56 (step @p94 :rule eq_resolve :premises (@p91 @p93)) % 0.37/0.56 (step @p95 :rule cong :premises (@p94) :args (@t66)) % 0.37/0.56 (step @p96 :rule nary_cong :premises (@p95 @p89) :args (@t67)) % 0.37/0.56 (step @p97 :rule cong :premises (@p96) :args ((forall @t10 @t67))) % 0.37/0.56 (step @p98 :rule bool-and-de-morgan :args (@t8 @t56 true)) % 0.37/0.56 (step @p99 :rule cong :premises (@p98) :args (@t69)) % 0.37/0.56 (step @p100 :rule trans :premises (@p99 @p97)) % 0.37/0.56 (step @p101 :rule cong :premises (@p100) :args (@t70)) % 0.37/0.56 (step @p102 :rule exists-elim :args ((= (exists @t10 @t68) @t70))) % 0.37/0.56 (step @p103 :rule trans :premises (@p102 @p101)) % 0.37/0.56 (step @p104 :rule beta-reduce :args ((= @t6 @t55))) % 0.37/0.56 (step @p105 :rule cong :premises (@p48 @p104) :args (@t7)) % 0.37/0.56 (step @p106 :rule refl :args (@t8)) % 0.37/0.56 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t9)) % 0.37/0.56 (step @p108 :rule cong :premises (@p107) :args (@t11)) % 0.37/0.56 (step @p109 :rule trans :premises (@p108 @p103)) % 0.37/0.56 (step @p110 :rule nary_cong :premises (@p109 @p88) :args (@t12)) % 0.37/0.56 (step @p111 :rule cong :premises (@p110) :args (@t14)) % 0.37/0.56 (step @p112 :rule trans :premises (@p111 @p87)) % 0.37/0.56 (step @p113 :rule cong :premises (@p112) :args (@t16)) % 0.37/0.56 (step @p114 :rule trans :premises (@p113 @p5)) % 0.37/0.56 (step @p115 :rule refl :args (tptp.y)) % 0.37/0.56 (step @p116 :rule cong :premises (@p115 @p114) :args (@t17)) % 0.37/0.56 (step @p117 :rule trans :premises (@p116 @p4)) % 0.37/0.56 (step @p118 :rule cong :premises (@p117) :args (@t18)) % 0.37/0.56 (step @p119 :rule trans :premises (@p118 @p3)) % 0.37/0.56 (step @p120 false :rule eq_resolve :premises (@p1 @p119)) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------