%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV081^5 : 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 08:55:25 AM UTC 2026 % Result : Theorem 0.52s 0.78s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV081^5 : 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 % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 18:12:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.52/0.78 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.52/0.78 % SZS status Theorem % 0.52/0.78 % SZS output start Proof % 0.52/0.78 ( % 0.52/0.78 (declare-sort $$unsorted 0) % 0.52/0.78 (define @t1 () (@var "Xz" (-> $$unsorted Bool))) % 0.52/0.78 (define @t2 () (@var "Xx" (-> $$unsorted Bool))) % 0.52/0.78 (define @t3 () (@var "R" (-> (-> $$unsorted Bool) (-> $$unsorted Bool) Bool))) % 0.52/0.78 (define @t4 () (_ @t3 @t2)) % 0.52/0.78 (define @t5 () (_ @t4 @t1)) % 0.52/0.78 (define @t6 () (@var "Xy" (-> $$unsorted Bool))) % 0.52/0.78 (define @t7 () (_ (_ @t3 @t6) @t1)) % 0.52/0.78 (define @t8 () (_ @t4 @t6)) % 0.52/0.78 (define @t9 () (and @t8 @t7)) % 0.52/0.78 (define @t10 () (@list @t2 @t6 @t1)) % 0.52/0.78 (define @t11 () (forall @t10 (=> @t9 @t5))) % 0.52/0.78 (define @t12 () (_ @t4 @t2)) % 0.52/0.78 (define @t13 () (@list @t2)) % 0.52/0.78 (define @t14 () (forall @t13 @t12)) % 0.52/0.78 (define @t15 () (@var "Y" (-> $$unsorted Bool))) % 0.52/0.78 (define @t16 () (@var "X" (-> $$unsorted Bool))) % 0.52/0.78 (define @t17 () (_ (_ @t3 @t16) @t15)) % 0.52/0.78 (define @t18 () (@list @t16 @t15)) % 0.52/0.78 (define @t19 () (exists @t18 @t17)) % 0.52/0.78 (define @t20 () (and @t19 @t14 @t11)) % 0.52/0.78 (define @t21 () (@list @t3)) % 0.52/0.78 (define @t22 () (exists @t21 @t20)) % 0.52/0.78 (define @t23 () (not @t22)) % 0.52/0.78 (define @t24 () (_ @t3 @t2 @t1)) % 0.52/0.78 (define @t25 () (_ @t3 @t6 @t1)) % 0.52/0.78 (define @t26 () (_ @t3 @t2 @t6)) % 0.52/0.78 (define @t27 () (forall @t10 (or (not @t26) (not @t25) @t24))) % 0.52/0.78 (define @t28 () (not @t27)) % 0.52/0.78 (define @t29 () (_ @t3 @t2 @t2)) % 0.52/0.78 (define @t30 () (forall @t13 @t29)) % 0.52/0.78 (define @t31 () (not @t30)) % 0.52/0.78 (define @t32 () (@var "BOUND_VARIABLE_7468" (-> $$unsorted Bool))) % 0.52/0.78 (define @t33 () (@var "BOUND_VARIABLE_7466" (-> $$unsorted Bool))) % 0.52/0.78 (define @t34 () (not (_ @t3 @t33 @t32))) % 0.52/0.78 (define @t35 () (or @t34 @t31 @t28)) % 0.52/0.78 (define @t36 () (forall (@list @t3 @t33 @t32) @t35)) % 0.52/0.78 (define @t37 () (@list @t33 @t32)) % 0.52/0.78 (define @t38 () (forall @t37 @t35)) % 0.52/0.78 (define @t39 () (forall @t37 @t34)) % 0.52/0.78 (define @t40 () (or @t39 @t31 @t28)) % 0.52/0.78 (define @t41 () (_ @t3 @t16 @t15)) % 0.52/0.78 (define @t42 () (forall @t18 (not @t41))) % 0.52/0.78 (define @t43 () (not @t42)) % 0.52/0.78 (define @t44 () (not @t43)) % 0.52/0.78 (define @t45 () (or @t44 @t31 @t28)) % 0.52/0.78 (define @t46 () (and @t43 @t30 @t27)) % 0.52/0.78 (define @t47 () (forall @t21 (not @t46))) % 0.52/0.78 (define @t48 () (not @t47)) % 0.52/0.78 (define @t49 () (not @t7)) % 0.52/0.78 (define @t50 () (not @t8)) % 0.52/0.78 (define @t51 () (or @t50 @t49 @t5)) % 0.52/0.78 (define @t52 () (not @t17)) % 0.52/0.78 (define @t53 () (forall @t18 @t52)) % 0.52/0.78 (define @t54 () (not @t53)) % 0.52/0.78 (define @t55 () (lambda (@list (@var "BOUND_VARIABLE_66837" (-> $$unsorted Bool)) (@var "BOUND_VARIABLE_66838" (-> $$unsorted Bool))) true)) % 0.52/0.78 (define @t56 () (_ @t55 @t2 @t1)) % 0.52/0.78 (define @t57 () (_ @t55 @t6 @t1)) % 0.52/0.78 (define @t58 () (not @t57)) % 0.52/0.78 (define @t59 () (_ @t55 @t2 @t6)) % 0.52/0.78 (define @t60 () (not @t59)) % 0.52/0.78 (define @t61 () (or @t60 @t58 @t56)) % 0.52/0.78 (define @t62 () (forall @t10 @t61)) % 0.52/0.78 (define @t63 () (not @t62)) % 0.52/0.78 (define @t64 () (_ @t55 @t2 @t2)) % 0.52/0.78 (define @t65 () (forall @t13 @t64)) % 0.52/0.78 (define @t66 () (not @t65)) % 0.52/0.78 (define @t67 () (@var "BOUND_VARIABLE_29063" $$unsorted)) % 0.52/0.78 (define @t68 () (lambda (@list @t67) true)) % 0.52/0.78 (define @t69 () (@var "BOUND_VARIABLE_67183" $$unsorted)) % 0.52/0.78 (define @t70 () (lambda (@list @t69) true)) % 0.52/0.78 (define @t71 () (@list @t67)) % 0.52/0.78 (define @t72 () (@var "BOUND_VARIABLE_67055" $$unsorted)) % 0.52/0.78 (define @t73 () (lambda (@list @t72) true)) % 0.52/0.78 (define @t74 () (_ @t55 @t73 @t70)) % 0.52/0.78 (define @t75 () (not @t74)) % 0.52/0.78 (define @t76 () (or @t75 @t66 @t63)) % 0.52/0.78 (assume @p1 @t23) % 0.52/0.78 (assume @p2 true) % 0.52/0.78 (step @p3 :rule bool-double-not-elim :args (@t36)) % 0.52/0.78 (step @p4 :rule quant-merge-prenex :args ((= (forall @t21 @t38) @t36))) % 0.52/0.78 (step @p5 :rule refl :args (@t28)) % 0.52/0.78 (step @p6 :rule refl :args (@t31)) % 0.52/0.78 (step @p7 :rule alpha_equiv :args (@t39 (@list @t33 @t32) (@list @t16 @t15))) % 0.52/0.78 (step @p8 :rule nary_cong :premises (@p7 @p6 @p5) :args (@t40)) % 0.52/0.78 (step @p9 :rule quant-miniscope-or :args ((= @t38 @t40))) % 0.52/0.78 (step @p10 :rule trans :premises (@p9 @p8)) % 0.52/0.78 (step @p11 :rule symm :premises (@p10)) % 0.52/0.78 (step @p12 :rule cong :premises (@p11) :args ((forall @t21 (or @t42 @t31 @t28)))) % 0.52/0.78 (step @p13 :rule trans :premises (@p12 @p4)) % 0.52/0.78 (step @p14 :rule bool-double-not-elim :args (@t42)) % 0.52/0.78 (step @p15 :rule nary_cong :premises (@p14 @p6 @p5) :args (@t45)) % 0.52/0.78 (step @p16 :rule aci_norm :args ((= (or @t44 (or @t31 @t28)) @t45))) % 0.52/0.78 (step @p17 :rule trans :premises (@p16 @p15)) % 0.52/0.78 (step @p18 :rule bool-and-de-morgan :args (@t30 @t27 true)) % 0.52/0.78 (step @p19 :rule refl :args (@t44)) % 0.52/0.78 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t44 (not (and @t30 @t27))))) % 0.52/0.78 (step @p21 :rule bool-and-de-morgan :args (@t43 @t30 (and @t27))) % 0.52/0.78 (step @p22 :rule trans :premises (@p21 @p20)) % 0.52/0.78 (step @p23 :rule trans :premises (@p22 @p17)) % 0.52/0.78 (step @p24 :rule cong :premises (@p23) :args (@t47)) % 0.52/0.78 (step @p25 :rule trans :premises (@p24 @p13)) % 0.52/0.78 (step @p26 :rule cong :premises (@p25) :args (@t48)) % 0.52/0.78 (step @p27 :rule exists-elim :args ((= (exists @t21 @t46) @t48))) % 0.52/0.78 (step @p28 :rule trans :premises (@p27 @p26)) % 0.52/0.78 (step @p29 :rule refl :args (@t24)) % 0.52/0.78 (step @p30 :rule refl :args (@t5)) % 0.52/0.78 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t5 @t24))) % 0.52/0.78 (step @p32 :rule symm :premises (@p31)) % 0.52/0.78 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.52/0.78 (step @p34 :rule refl :args (@t25)) % 0.52/0.78 (step @p35 :rule refl :args (@t7)) % 0.52/0.78 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t7 @t25))) % 0.52/0.78 (step @p37 :rule symm :premises (@p36)) % 0.52/0.78 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.52/0.78 (step @p39 :rule cong :premises (@p38) :args (@t49)) % 0.52/0.78 (step @p40 :rule refl :args (@t26)) % 0.52/0.78 (step @p41 :rule refl :args (@t8)) % 0.52/0.78 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t8 @t26))) % 0.52/0.78 (step @p43 :rule symm :premises (@p42)) % 0.52/0.78 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.52/0.78 (step @p45 :rule cong :premises (@p44) :args (@t50)) % 0.52/0.78 (step @p46 :rule nary_cong :premises (@p45 @p39 @p33) :args (@t51)) % 0.52/0.78 (step @p47 :rule cong :premises (@p46) :args ((forall @t10 @t51))) % 0.52/0.78 (step @p48 :rule aci_norm :args ((= (or (or @t50 @t49) @t5) @t51))) % 0.52/0.78 (step @p49 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 0.52/0.78 (step @p50 :rule nary_cong :premises (@p49 @p30) :args ((or (not @t9) @t5))) % 0.52/0.78 (step @p51 :rule trans :premises (@p50 @p48)) % 0.52/0.78 (step @p52 :rule bool-impl-elim :args (@t9 @t5)) % 0.52/0.78 (step @p53 :rule trans :premises (@p52 @p51)) % 0.52/0.78 (step @p54 :rule cong :premises (@p53) :args (@t11)) % 0.52/0.78 (step @p55 :rule trans :premises (@p54 @p47)) % 0.52/0.78 (step @p56 :rule refl :args (@t29)) % 0.52/0.78 (step @p57 :rule refl :args (@t12)) % 0.52/0.78 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t12 @t29))) % 0.52/0.78 (step @p59 :rule symm :premises (@p58)) % 0.52/0.78 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.52/0.78 (step @p61 :rule cong :premises (@p60) :args (@t14)) % 0.52/0.78 (step @p62 :rule refl :args (@t41)) % 0.52/0.78 (step @p63 :rule refl :args (@t17)) % 0.52/0.78 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t17 @t41))) % 0.52/0.78 (step @p65 :rule symm :premises (@p64)) % 0.52/0.78 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.52/0.78 (step @p67 :rule cong :premises (@p66) :args (@t52)) % 0.52/0.78 (step @p68 :rule cong :premises (@p67) :args (@t53)) % 0.52/0.78 (step @p69 :rule cong :premises (@p68) :args (@t54)) % 0.52/0.78 (step @p70 :rule exists-elim :args ((= @t19 @t54))) % 0.52/0.78 (step @p71 :rule trans :premises (@p70 @p69)) % 0.52/0.78 (step @p72 :rule nary_cong :premises (@p71 @p61 @p55) :args (@t20)) % 0.52/0.78 (step @p73 :rule cong :premises (@p72) :args (@t22)) % 0.52/0.78 (step @p74 :rule trans :premises (@p73 @p28)) % 0.52/0.78 (step @p75 :rule cong :premises (@p74) :args (@t23)) % 0.52/0.78 (step @p76 :rule trans :premises (@p75 @p3)) % 0.52/0.78 (step @p77 :rule eq_resolve :premises (@p1 @p76)) % 0.52/0.78 (step @p78 :rule bool-impl-false1 :args (@t36)) % 0.52/0.78 (step @p79 :rule evaluate :args ((or false false false))) % 0.52/0.78 (step @p80 :rule evaluate :args ((not true))) % 0.52/0.78 (step @p81 :rule quant-unused-vars :args ((= (forall @t10 true) true))) % 0.52/0.78 (step @p82 :rule evaluate :args ((or false false true))) % 0.52/0.78 (step @p83 :rule beta-reduce :args ((= @t56 true))) % 0.52/0.78 (step @p84 :rule beta-reduce :args ((= @t57 true))) % 0.52/0.78 (step @p85 :rule cong :premises (@p84) :args (@t58)) % 0.52/0.78 (step @p86 :rule trans :premises (@p85 @p80)) % 0.52/0.78 (step @p87 :rule beta-reduce :args ((= @t59 true))) % 0.52/0.78 (step @p88 :rule cong :premises (@p87) :args (@t60)) % 0.52/0.78 (step @p89 :rule trans :premises (@p88 @p80)) % 0.52/0.78 (step @p90 :rule nary_cong :premises (@p89 @p86 @p83) :args (@t61)) % 0.52/0.78 (step @p91 :rule trans :premises (@p90 @p82)) % 0.52/0.78 (step @p92 :rule cong :premises (@p91) :args (@t62)) % 0.52/0.78 (step @p93 :rule trans :premises (@p92 @p81)) % 0.52/0.78 (step @p94 :rule cong :premises (@p93) :args (@t63)) % 0.52/0.78 (step @p95 :rule trans :premises (@p94 @p80)) % 0.52/0.78 (step @p96 :rule quant-unused-vars :args ((= (forall @t13 true) true))) % 0.52/0.78 (step @p97 :rule beta-reduce :args ((= @t64 true))) % 0.52/0.78 (step @p98 :rule cong :premises (@p97) :args (@t65)) % 0.52/0.78 (step @p99 :rule trans :premises (@p98 @p96)) % 0.52/0.78 (step @p100 :rule cong :premises (@p99) :args (@t66)) % 0.52/0.78 (step @p101 :rule trans :premises (@p100 @p80)) % 0.52/0.78 (step @p102 :rule beta-reduce :args ((= (_ @t55 @t68 @t68) true))) % 0.52/0.78 (step @p103 :rule refl :args (@t68)) % 0.52/0.78 (step @p104 :rule symm :premises (@p103)) % 0.52/0.78 (step @p105 :rule alpha_equiv :args (@t70 (@list @t69) @t71)) % 0.52/0.78 (step @p106 :rule trans :premises (@p105 @p104)) % 0.52/0.78 (step @p107 :rule alpha_equiv :args (@t73 (@list @t72) @t71)) % 0.52/0.78 (step @p108 :rule trans :premises (@p107 @p104)) % 0.52/0.78 (step @p109 :rule cong :premises (@p108 @p106) :args (@t74)) % 0.52/0.78 (step @p110 :rule trans :premises (@p109 @p102)) % 0.52/0.78 (step @p111 :rule cong :premises (@p110) :args (@t75)) % 0.52/0.78 (step @p112 :rule trans :premises (@p111 @p80)) % 0.52/0.78 (step @p113 :rule nary_cong :premises (@p112 @p101 @p95) :args (@t76)) % 0.52/0.78 (step @p114 :rule trans :premises (@p113 @p79)) % 0.52/0.78 (step @p115 :rule refl :args (@t36)) % 0.52/0.78 (step @p116 :rule cong :premises (@p115 @p114) :args ((=> @t36 @t76))) % 0.52/0.78 (step @p117 :rule trans :premises (@p116 @p78)) % 0.52/0.78 (assume-push @p124 @t36) % 0.52/0.78 (step @p119 :rule instantiate :premises (@p77) :args ((@list @t55 @t73 @t70))) % 0.52/0.78 (step-pop @p125 :rule scope :premises (@p119)) % 0.52/0.78 (step @p120 :rule process_scope :premises (@p125) :args (@t76)) % 0.52/0.78 (step @p122 :rule eq_resolve :premises (@p120 @p117)) % 0.52/0.78 (step @p123 false :rule chain_m_resolution :premises (@p122 @p77) :args (false (@list false) (@list @t36))) % 0.52/0.78 ) % 0.52/0.78 % SZS output end Proof % 0.52/0.78 % cvc5 exiting %------------------------------------------------------------------------------