%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV088^5 : 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 : n003.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 08:55:26 AM UTC 2026 % Result : Theorem 0.74s 0.98s % Output : Proof 0.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV088^5 : 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 % 0.17/0.34 % Computer : n003.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 18:12:14 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.74/0.98 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.74/0.98 % SZS status Theorem % 0.74/0.98 % SZS output start Proof % 0.74/0.98 ( % 0.74/0.98 (declare-sort $$unsorted 0) % 0.74/0.98 (define @t1 () (@var "Xw_2" $$unsorted)) % 0.74/0.98 (define @t2 () (@var "Xx" (-> $$unsorted Bool))) % 0.74/0.98 (define @t3 () (@var "Xr_28" (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool))) % 0.74/0.98 (define @t4 () (_ @t3 @t2)) % 0.74/0.98 (define @t5 () (_ (_ @t4 @t2) @t1)) % 0.74/0.98 (define @t6 () (@var "Xr_27" (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool))) % 0.74/0.98 (define @t7 () (_ @t6 @t2)) % 0.74/0.98 (define @t8 () (_ (_ @t7 @t2) @t1)) % 0.74/0.98 (define @t9 () (or @t8 @t5)) % 0.74/0.98 (define @t10 () (@list @t2 @t1)) % 0.74/0.98 (define @t11 () (forall @t10 @t9)) % 0.74/0.98 (define @t12 () (@var "Xz" (-> $$unsorted Bool))) % 0.74/0.98 (define @t13 () (_ (_ @t4 @t12) @t1)) % 0.74/0.98 (define @t14 () (_ (_ @t7 @t12) @t1)) % 0.74/0.98 (define @t15 () (or @t14 @t13)) % 0.74/0.98 (define @t16 () (@list @t1)) % 0.74/0.98 (define @t17 () (forall @t16 @t15)) % 0.74/0.98 (define @t18 () (@var "Xy" (-> $$unsorted Bool))) % 0.74/0.98 (define @t19 () (_ (_ (_ @t3 @t18) @t12) @t1)) % 0.74/0.98 (define @t20 () (_ (_ (_ @t6 @t18) @t12) @t1)) % 0.74/0.98 (define @t21 () (or @t20 @t19)) % 0.74/0.98 (define @t22 () (forall @t16 @t21)) % 0.74/0.98 (define @t23 () (_ (_ @t4 @t18) @t1)) % 0.74/0.98 (define @t24 () (_ (_ @t7 @t18) @t1)) % 0.74/0.98 (define @t25 () (or @t24 @t23)) % 0.74/0.98 (define @t26 () (forall @t16 @t25)) % 0.74/0.98 (define @t27 () (and @t26 @t22)) % 0.74/0.98 (define @t28 () (=> @t27 @t17)) % 0.74/0.98 (define @t29 () (@list @t2 @t18 @t12)) % 0.74/0.98 (define @t30 () (forall @t29 @t28)) % 0.74/0.98 (define @t31 () (and @t30 @t11)) % 0.74/0.98 (define @t32 () (@list @t3 @t6)) % 0.74/0.98 (define @t33 () (exists @t32 @t31)) % 0.74/0.98 (define @t34 () (not @t33)) % 0.74/0.98 (define @t35 () (_ @t3 @t2 @t2 @t1)) % 0.74/0.98 (define @t36 () (_ @t6 @t2 @t2 @t1)) % 0.74/0.98 (define @t37 () (forall @t10 (or @t36 @t35))) % 0.74/0.98 (define @t38 () (@var "BOUND_VARIABLE_7474" $$unsorted)) % 0.74/0.98 (define @t39 () (_ @t3 @t2 @t12 @t38)) % 0.74/0.98 (define @t40 () (_ @t6 @t2 @t12 @t38)) % 0.74/0.98 (define @t41 () (_ @t3 @t18 @t12 @t1)) % 0.74/0.98 (define @t42 () (_ @t6 @t18 @t12 @t1)) % 0.74/0.98 (define @t43 () (forall @t16 (or @t42 @t41))) % 0.74/0.98 (define @t44 () (not @t43)) % 0.74/0.98 (define @t45 () (_ @t3 @t2 @t18 @t1)) % 0.74/0.98 (define @t46 () (_ @t6 @t2 @t18 @t1)) % 0.74/0.98 (define @t47 () (forall @t16 (or @t46 @t45))) % 0.74/0.98 (define @t48 () (not @t47)) % 0.74/0.98 (define @t49 () (or @t48 @t44 @t40 @t39)) % 0.74/0.98 (define @t50 () (@list @t2 @t18 @t12 @t38)) % 0.74/0.98 (define @t51 () (forall @t50 @t49)) % 0.74/0.98 (define @t52 () (forall @t32 (or (not @t51) (not @t37)))) % 0.74/0.98 (define @t53 () (and @t51 @t37)) % 0.74/0.98 (define @t54 () (forall @t32 (not @t53))) % 0.74/0.98 (define @t55 () (not @t54)) % 0.74/0.98 (define @t56 () (or @t40 @t39)) % 0.74/0.98 (define @t57 () (or @t48 @t44 @t56)) % 0.74/0.98 (define @t58 () (forall @t50 @t57)) % 0.74/0.98 (define @t59 () (@list @t38)) % 0.74/0.98 (define @t60 () (forall @t59 @t57)) % 0.74/0.98 (define @t61 () (forall @t59 @t56)) % 0.74/0.98 (define @t62 () (or @t48 @t44 @t61)) % 0.74/0.98 (define @t63 () (_ @t3 @t2 @t12 @t1)) % 0.74/0.98 (define @t64 () (_ @t6 @t2 @t12 @t1)) % 0.74/0.98 (define @t65 () (forall @t16 (or @t64 @t63))) % 0.74/0.98 (define @t66 () (or @t48 @t44 @t65)) % 0.74/0.98 (define @t67 () (and @t47 @t43)) % 0.74/0.98 (define @t68 () (lambda (@list (@var "BOUND_VARIABLE_117719" (-> $$unsorted Bool)) (@var "BOUND_VARIABLE_117720" (-> $$unsorted Bool)) (@var "BOUND_VARIABLE_117721" $$unsorted)) true)) % 0.74/0.98 (define @t69 () (_ @t68 @t2 @t2 @t1)) % 0.74/0.98 (define @t70 () (lambda (@list (@var "BOUND_VARIABLE_117939" (-> $$unsorted Bool)) (@var "BOUND_VARIABLE_117940" (-> $$unsorted Bool)) (@var "BOUND_VARIABLE_117941" $$unsorted)) true)) % 0.74/0.98 (define @t71 () (_ @t70 @t2 @t2 @t1)) % 0.74/0.98 (define @t72 () (or @t71 @t69)) % 0.74/0.98 (define @t73 () (forall @t10 @t72)) % 0.74/0.98 (define @t74 () (not @t73)) % 0.74/0.98 (define @t75 () (_ @t68 @t2 @t12 @t38)) % 0.74/0.98 (define @t76 () (_ @t70 @t2 @t12 @t38)) % 0.74/0.98 (define @t77 () (_ @t68 @t18 @t12 @t1)) % 0.74/0.98 (define @t78 () (_ @t70 @t18 @t12 @t1)) % 0.74/0.98 (define @t79 () (or @t78 @t77)) % 0.74/0.98 (define @t80 () (forall @t16 @t79)) % 0.74/0.98 (define @t81 () (not @t80)) % 0.74/0.98 (define @t82 () (_ @t68 @t2 @t18 @t1)) % 0.74/0.98 (define @t83 () (_ @t70 @t2 @t18 @t1)) % 0.74/0.98 (define @t84 () (or @t83 @t82)) % 0.74/0.98 (define @t85 () (forall @t16 @t84)) % 0.74/0.98 (define @t86 () (not @t85)) % 0.74/0.98 (define @t87 () (or @t86 @t81 @t76 @t75)) % 0.74/0.98 (define @t88 () (forall @t50 @t87)) % 0.74/0.98 (define @t89 () (not @t88)) % 0.74/0.98 (define @t90 () (or @t89 @t74)) % 0.74/0.98 (assume @p1 @t34) % 0.74/0.98 (assume @p2 true) % 0.74/0.98 (step @p3 :rule bool-double-not-elim :args (@t52)) % 0.74/0.98 (step @p4 :rule bool-and-de-morgan :args (@t51 @t37 true)) % 0.74/0.98 (step @p5 :rule cong :premises (@p4) :args (@t54)) % 0.74/0.98 (step @p6 :rule cong :premises (@p5) :args (@t55)) % 0.74/0.98 (step @p7 :rule exists-elim :args ((= (exists @t32 @t53) @t55))) % 0.74/0.98 (step @p8 :rule trans :premises (@p7 @p6)) % 0.74/0.98 (step @p9 :rule refl :args (@t35)) % 0.74/0.98 (step @p10 :rule refl :args (@t5)) % 0.74/0.98 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t5 @t35))) % 0.74/0.98 (step @p12 :rule symm :premises (@p11)) % 0.74/0.98 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.74/0.98 (step @p14 :rule refl :args (@t36)) % 0.74/0.98 (step @p15 :rule refl :args (@t8)) % 0.74/0.98 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t8 @t36))) % 0.74/0.98 (step @p17 :rule symm :premises (@p16)) % 0.74/0.98 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.74/0.98 (step @p19 :rule nary_cong :premises (@p18 @p13) :args (@t9)) % 0.74/0.98 (step @p20 :rule cong :premises (@p19) :args (@t11)) % 0.74/0.98 (step @p21 :rule aci_norm :args ((= @t57 @t49))) % 0.74/0.98 (step @p22 :rule cong :premises (@p21) :args (@t58)) % 0.74/0.98 (step @p23 :rule quant-merge-prenex :args ((= (forall @t29 @t60) @t58))) % 0.74/0.98 (step @p24 :rule alpha_equiv :args (@t61 (@list @t38) (@list @t1))) % 0.74/0.98 (step @p25 :rule refl :args (@t44)) % 0.74/0.98 (step @p26 :rule refl :args (@t48)) % 0.74/0.98 (step @p27 :rule nary_cong :premises (@p26 @p25 @p24) :args (@t62)) % 0.74/0.98 (step @p28 :rule quant-miniscope-or :args ((= @t60 @t62))) % 0.74/0.98 (step @p29 :rule trans :premises (@p28 @p27)) % 0.74/0.98 (step @p30 :rule symm :premises (@p29)) % 0.74/0.98 (step @p31 :rule cong :premises (@p30) :args ((forall @t29 @t66))) % 0.74/0.98 (step @p32 :rule trans :premises (@p31 @p23)) % 0.74/0.98 (step @p33 :rule trans :premises (@p32 @p22)) % 0.74/0.98 (step @p34 :rule aci_norm :args ((= (or (or @t48 @t44) @t65) @t66))) % 0.74/0.98 (step @p35 :rule refl :args (@t65)) % 0.74/0.98 (step @p36 :rule bool-and-de-morgan :args (@t47 @t43 true)) % 0.74/0.98 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or (not @t67) @t65))) % 0.74/0.98 (step @p38 :rule trans :premises (@p37 @p34)) % 0.74/0.98 (step @p39 :rule bool-impl-elim :args (@t67 @t65)) % 0.74/0.98 (step @p40 :rule trans :premises (@p39 @p38)) % 0.74/0.98 (step @p41 :rule cong :premises (@p40) :args ((forall @t29 (=> @t67 @t65)))) % 0.74/0.98 (step @p42 :rule trans :premises (@p41 @p33)) % 0.74/0.98 (step @p43 :rule refl :args (@t63)) % 0.74/0.98 (step @p44 :rule refl :args (@t13)) % 0.74/0.98 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t13 @t63))) % 0.74/0.98 (step @p46 :rule symm :premises (@p45)) % 0.74/0.98 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.74/0.98 (step @p48 :rule refl :args (@t64)) % 0.74/0.98 (step @p49 :rule refl :args (@t14)) % 0.74/0.98 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t14 @t64))) % 0.74/0.98 (step @p51 :rule symm :premises (@p50)) % 0.74/0.98 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.74/0.98 (step @p53 :rule nary_cong :premises (@p52 @p47) :args (@t15)) % 0.74/0.98 (step @p54 :rule cong :premises (@p53) :args (@t17)) % 0.74/0.98 (step @p55 :rule refl :args (@t41)) % 0.74/0.98 (step @p56 :rule refl :args (@t19)) % 0.74/0.98 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t19 @t41))) % 0.74/0.98 (step @p58 :rule symm :premises (@p57)) % 0.74/0.98 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.74/0.98 (step @p60 :rule refl :args (@t42)) % 0.74/0.98 (step @p61 :rule refl :args (@t20)) % 0.74/0.98 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t20 @t42))) % 0.74/0.98 (step @p63 :rule symm :premises (@p62)) % 0.74/0.98 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.74/0.98 (step @p65 :rule nary_cong :premises (@p64 @p59) :args (@t21)) % 0.74/0.98 (step @p66 :rule cong :premises (@p65) :args (@t22)) % 0.74/0.98 (step @p67 :rule refl :args (@t45)) % 0.74/0.98 (step @p68 :rule refl :args (@t23)) % 0.74/0.98 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t23 @t45))) % 0.74/0.98 (step @p70 :rule symm :premises (@p69)) % 0.74/0.98 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.74/0.98 (step @p72 :rule refl :args (@t46)) % 0.74/0.98 (step @p73 :rule refl :args (@t24)) % 0.74/0.98 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t24 @t46))) % 0.74/0.98 (step @p75 :rule symm :premises (@p74)) % 0.74/0.98 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.74/0.98 (step @p77 :rule nary_cong :premises (@p76 @p71) :args (@t25)) % 0.74/0.98 (step @p78 :rule cong :premises (@p77) :args (@t26)) % 0.74/0.98 (step @p79 :rule nary_cong :premises (@p78 @p66) :args (@t27)) % 0.74/0.98 (step @p80 :rule cong :premises (@p79 @p54) :args (@t28)) % 0.74/0.98 (step @p81 :rule cong :premises (@p80) :args (@t30)) % 0.74/0.98 (step @p82 :rule trans :premises (@p81 @p42)) % 0.74/0.98 (step @p83 :rule nary_cong :premises (@p82 @p20) :args (@t31)) % 0.74/0.98 (step @p84 :rule cong :premises (@p83) :args (@t33)) % 0.74/0.98 (step @p85 :rule trans :premises (@p84 @p8)) % 0.74/0.98 (step @p86 :rule cong :premises (@p85) :args (@t34)) % 0.74/0.98 (step @p87 :rule trans :premises (@p86 @p3)) % 0.74/0.98 (step @p88 :rule eq_resolve :premises (@p1 @p87)) % 0.74/0.98 (step @p89 :rule bool-impl-false1 :args (@t52)) % 0.74/0.98 (step @p90 :rule evaluate :args ((or false false))) % 0.74/0.98 (step @p91 :rule evaluate :args ((not true))) % 0.74/0.98 (step @p92 :rule quant-unused-vars :args ((= (forall @t10 true) true))) % 0.74/0.98 (step @p93 :rule evaluate :args ((or true true))) % 0.74/0.98 (step @p94 :rule beta-reduce :args ((= @t69 true))) % 0.74/0.98 (step @p95 :rule beta-reduce :args ((= @t71 true))) % 0.74/0.98 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t72)) % 0.74/0.98 (step @p97 :rule trans :premises (@p96 @p93)) % 0.74/0.98 (step @p98 :rule cong :premises (@p97) :args (@t73)) % 0.74/0.98 (step @p99 :rule trans :premises (@p98 @p92)) % 0.74/0.98 (step @p100 :rule cong :premises (@p99) :args (@t74)) % 0.74/0.98 (step @p101 :rule trans :premises (@p100 @p91)) % 0.74/0.98 (step @p102 :rule quant-unused-vars :args ((= (forall @t50 true) true))) % 0.74/0.98 (step @p103 :rule evaluate :args ((or false false true true))) % 0.74/0.98 (step @p104 :rule beta-reduce :args ((= @t75 true))) % 0.74/0.98 (step @p105 :rule beta-reduce :args ((= @t76 true))) % 0.74/0.98 (step @p106 :rule quant-unused-vars :args ((= (forall @t16 true) true))) % 0.74/0.98 (step @p107 :rule beta-reduce :args ((= @t77 true))) % 0.74/0.98 (step @p108 :rule beta-reduce :args ((= @t78 true))) % 0.74/0.98 (step @p109 :rule nary_cong :premises (@p108 @p107) :args (@t79)) % 0.74/0.98 (step @p110 :rule trans :premises (@p109 @p93)) % 0.74/0.98 (step @p111 :rule cong :premises (@p110) :args (@t80)) % 0.74/0.98 (step @p112 :rule trans :premises (@p111 @p106)) % 0.74/0.98 (step @p113 :rule cong :premises (@p112) :args (@t81)) % 0.74/0.98 (step @p114 :rule trans :premises (@p113 @p91)) % 0.74/0.98 (step @p115 :rule beta-reduce :args ((= @t82 true))) % 0.74/0.98 (step @p116 :rule beta-reduce :args ((= @t83 true))) % 0.74/0.98 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t84)) % 0.74/0.98 (step @p118 :rule trans :premises (@p117 @p93)) % 0.74/0.98 (step @p119 :rule cong :premises (@p118) :args (@t85)) % 0.74/0.98 (step @p120 :rule trans :premises (@p119 @p106)) % 0.74/0.98 (step @p121 :rule cong :premises (@p120) :args (@t86)) % 0.74/0.98 (step @p122 :rule trans :premises (@p121 @p91)) % 0.74/0.98 (step @p123 :rule nary_cong :premises (@p122 @p114 @p105 @p104) :args (@t87)) % 0.74/0.98 (step @p124 :rule trans :premises (@p123 @p103)) % 0.74/0.98 (step @p125 :rule cong :premises (@p124) :args (@t88)) % 0.74/0.98 (step @p126 :rule trans :premises (@p125 @p102)) % 0.74/0.98 (step @p127 :rule cong :premises (@p126) :args (@t89)) % 0.74/0.98 (step @p128 :rule trans :premises (@p127 @p91)) % 0.74/0.98 (step @p129 :rule nary_cong :premises (@p128 @p101) :args (@t90)) % 0.74/0.98 (step @p130 :rule trans :premises (@p129 @p90)) % 0.74/0.98 (step @p131 :rule refl :args (@t52)) % 0.74/0.98 (step @p132 :rule cong :premises (@p131 @p130) :args ((=> @t52 @t90))) % 0.74/0.98 (step @p133 :rule trans :premises (@p132 @p89)) % 0.74/0.98 (assume-push @p140 @t52) % 0.74/0.98 (step @p135 :rule instantiate :premises (@p88) :args ((@list @t68 @t70))) % 0.74/0.98 (step-pop @p141 :rule scope :premises (@p135)) % 0.74/0.98 (step @p136 :rule process_scope :premises (@p141) :args (@t90)) % 0.74/0.98 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 0.74/0.98 (step @p139 false :rule chain_m_resolution :premises (@p138 @p88) :args (false (@list false) (@list @t52))) % 0.74/0.98 ) % 0.74/0.98 % SZS output end Proof % 0.74/0.98 % cvc5 exiting %------------------------------------------------------------------------------