%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU850^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:53:25 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU850^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.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 17:54:16 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.37/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort tptp.a 0) % 0.37/0.57 (define @t1 () (@var "Xx" tptp.a)) % 0.37/0.57 (define @t2 () (@var "S" (-> tptp.a Bool))) % 0.37/0.57 (define @t3 () (_ @t2 @t1)) % 0.37/0.57 (define @t4 () (@var "U" (-> tptp.a Bool))) % 0.37/0.57 (define @t5 () (_ @t4 @t1)) % 0.37/0.57 (define @t6 () (@list @t1)) % 0.37/0.57 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.37/0.57 (define @t8 () (@var "T" (-> tptp.a Bool))) % 0.37/0.57 (define @t9 () (_ @t8 @t1)) % 0.37/0.57 (define @t10 () (forall @t6 (=> @t9 @t5))) % 0.37/0.57 (define @t11 () (forall @t6 (=> @t3 @t9))) % 0.37/0.57 (define @t12 () (and @t11 @t10 @t7)) % 0.37/0.57 (define @t13 () (= @t8 @t4)) % 0.37/0.57 (define @t14 () (= @t2 @t8)) % 0.37/0.57 (define @t15 () (and @t14 @t13)) % 0.37/0.57 (define @t16 () (=> @t15 @t12)) % 0.37/0.57 (define @t17 () (@list @t2 @t8 @t4)) % 0.37/0.57 (define @t18 () (forall @t17 @t16)) % 0.37/0.57 (define @t19 () (not @t18)) % 0.37/0.57 (define @t20 () (@var "BOUND_VARIABLE_7472" tptp.a)) % 0.37/0.57 (define @t21 () (@var "BOUND_VARIABLE_7466" tptp.a)) % 0.37/0.57 (define @t22 () (@list @t4 @t21 @t20)) % 0.37/0.57 (define @t23 () (_ @t4 @t20)) % 0.37/0.57 (define @t24 () (_ @t4 @t21)) % 0.37/0.57 (define @t25 () (not @t23)) % 0.37/0.57 (define @t26 () (and (or (not @t24) @t24) (or @t25 @t23))) % 0.37/0.57 (define @t27 () (not (= @t4 @t4))) % 0.37/0.57 (define @t28 () (or @t27 @t26)) % 0.37/0.57 (define @t29 () (or @t25 (_ @t8 @t20))) % 0.37/0.57 (define @t30 () (or (not (_ @t8 @t21)) @t24)) % 0.37/0.57 (define @t31 () (and @t30 @t29)) % 0.37/0.57 (define @t32 () (not @t13)) % 0.37/0.57 (define @t33 () (or @t32 @t32 @t31)) % 0.37/0.57 (define @t34 () (@list @t8)) % 0.37/0.57 (define @t35 () (or @t32 @t31)) % 0.37/0.57 (define @t36 () (forall @t34 @t35)) % 0.37/0.57 (define @t37 () (forall @t22 @t36)) % 0.37/0.57 (define @t38 () (forall (@list @t4 @t21 @t20 @t8) @t35)) % 0.37/0.57 (define @t39 () (forall (@list @t8 @t4 @t21 @t20) @t35)) % 0.37/0.57 (define @t40 () (@var "BOUND_VARIABLE_7460" tptp.a)) % 0.37/0.57 (define @t41 () (@list @t8 @t4 @t40 @t21 @t20)) % 0.37/0.57 (define @t42 () (and true @t30 @t29)) % 0.37/0.57 (define @t43 () (or @t32 @t42)) % 0.37/0.57 (define @t44 () (_ @t8 @t40)) % 0.37/0.57 (define @t45 () (and (or (not @t44) @t44) @t30 @t29)) % 0.37/0.57 (define @t46 () (or @t32 @t45)) % 0.37/0.57 (define @t47 () (not (= @t8 @t8))) % 0.37/0.57 (define @t48 () (or @t47 @t32 @t45)) % 0.37/0.57 (define @t49 () (or @t25 (_ @t2 @t20))) % 0.37/0.57 (define @t50 () (or (not (_ @t2 @t40)) @t44)) % 0.37/0.57 (define @t51 () (and @t50 @t30 @t49)) % 0.37/0.57 (define @t52 () (not @t14)) % 0.37/0.57 (define @t53 () (or @t52 @t52 @t32 @t51)) % 0.37/0.57 (define @t54 () (@list @t2)) % 0.37/0.57 (define @t55 () (or @t52 @t32 @t51)) % 0.37/0.57 (define @t56 () (forall @t54 @t55)) % 0.37/0.57 (define @t57 () (forall @t41 @t56)) % 0.37/0.57 (define @t58 () (forall (@list @t8 @t4 @t40 @t21 @t20 @t2) @t55)) % 0.37/0.57 (define @t59 () (forall (@list @t2 @t8 @t4 @t40 @t21 @t20) @t55)) % 0.37/0.57 (define @t60 () (@list @t40 @t21 @t20)) % 0.37/0.57 (define @t61 () (forall @t60 @t55)) % 0.37/0.57 (define @t62 () (forall (@list @t20) @t49)) % 0.37/0.57 (define @t63 () (@list @t1)) % 0.37/0.57 (define @t64 () (forall @t60 @t49)) % 0.37/0.57 (define @t65 () (forall (@list @t21) @t30)) % 0.37/0.57 (define @t66 () (forall @t60 @t30)) % 0.37/0.57 (define @t67 () (forall (@list @t40) @t50)) % 0.37/0.57 (define @t68 () (forall @t60 @t50)) % 0.37/0.57 (define @t69 () (and @t68 @t66 @t64)) % 0.37/0.57 (define @t70 () (forall @t60 @t51)) % 0.37/0.57 (define @t71 () (or @t52 @t32 @t70)) % 0.37/0.57 (define @t72 () (_ @t2 @t1)) % 0.37/0.57 (define @t73 () (_ @t4 @t1)) % 0.37/0.57 (define @t74 () (_ @t8 @t1)) % 0.37/0.57 (define @t75 () (and (forall @t6 (or (not @t72) @t74)) (forall @t6 (or (not @t74) @t73)) (forall @t6 (or (not @t73) @t72)))) % 0.37/0.57 (define @t76 () (or @t52 @t32 @t75)) % 0.37/0.57 (define @t77 () (not @t5)) % 0.37/0.57 (define @t78 () (or @t77 @t3)) % 0.37/0.57 (define @t79 () (not @t9)) % 0.37/0.57 (define @t80 () (or @t79 @t5)) % 0.37/0.57 (define @t81 () (not @t3)) % 0.37/0.57 (define @t82 () (or @t81 @t9)) % 0.37/0.57 (assume @p1 @t19) % 0.37/0.57 (assume @p2 true) % 0.37/0.57 (step @p3 :rule evaluate :args ((not true))) % 0.37/0.57 (step @p4 :rule quant-unused-vars :args ((= (forall @t22 true) true))) % 0.37/0.57 (step @p5 :rule evaluate :args ((and true true))) % 0.37/0.57 (step @p6 :rule bool-or-taut2 :args (false @t23 false false)) % 0.37/0.57 (step @p7 :rule bool-or-taut2 :args (false @t24 false false)) % 0.37/0.57 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t26)) % 0.37/0.57 (step @p9 :rule trans :premises (@p8 @p5)) % 0.37/0.57 (step @p10 :rule cong :premises (@p9) :args ((forall @t22 @t26))) % 0.37/0.57 (step @p11 :rule trans :premises (@p10 @p4)) % 0.37/0.57 (step @p12 :rule aci_norm :args ((= (or false @t26) @t26))) % 0.37/0.57 (step @p13 :rule refl :args (@t26)) % 0.37/0.57 (step @p14 :rule eq-refl :args (@t4)) % 0.37/0.57 (step @p15 :rule cong :premises (@p14) :args (@t27)) % 0.37/0.57 (step @p16 :rule trans :premises (@p15 @p3)) % 0.37/0.57 (step @p17 :rule nary_cong :premises (@p16 @p13) :args (@t28)) % 0.37/0.57 (step @p18 :rule trans :premises (@p17 @p12)) % 0.37/0.57 (step @p19 :rule cong :premises (@p18) :args ((forall @t22 @t28))) % 0.37/0.57 (step @p20 :rule trans :premises (@p19 @p11)) % 0.37/0.57 (step @p21 :rule quant-var-elim-eq :args ((= (forall @t34 @t33) @t28))) % 0.37/0.57 (step @p22 :rule aci_norm :args ((= @t35 @t33))) % 0.37/0.57 (step @p23 :rule cong :premises (@p22) :args (@t36)) % 0.37/0.57 (step @p24 :rule trans :premises (@p23 @p21)) % 0.37/0.57 (step @p25 :rule cong :premises (@p24) :args (@t37)) % 0.37/0.57 (step @p26 :rule quant-merge-prenex :args ((= @t37 @t38))) % 0.37/0.57 (step @p27 :rule symm :premises (@p26)) % 0.37/0.57 (step @p28 :rule quant_var_reordering :args ((= @t39 @t38))) % 0.37/0.57 (step @p29 :rule trans :premises (@p28 @p27 @p25)) % 0.37/0.57 (step @p30 :rule trans :premises (@p29 @p20)) % 0.37/0.57 (step @p31 :rule quant-unused-vars :args ((= (forall @t41 @t35) @t39))) % 0.37/0.57 (step @p32 :rule trans :premises (@p31 @p30)) % 0.37/0.57 (step @p33 :rule aci_norm :args ((= @t42 @t31))) % 0.37/0.57 (step @p34 :rule refl :args (@t32)) % 0.37/0.57 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t43)) % 0.37/0.57 (step @p36 :rule cong :premises (@p35) :args ((forall @t41 @t43))) % 0.37/0.57 (step @p37 :rule trans :premises (@p36 @p32)) % 0.37/0.57 (step @p38 :rule refl :args (@t29)) % 0.37/0.57 (step @p39 :rule refl :args (@t30)) % 0.37/0.57 (step @p40 :rule bool-or-taut2 :args (false @t44 false false)) % 0.37/0.57 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38) :args (@t45)) % 0.37/0.57 (step @p42 :rule refl :args (@t32)) % 0.37/0.57 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t46)) % 0.37/0.57 (step @p44 :rule cong :premises (@p43) :args ((forall @t41 @t46))) % 0.37/0.57 (step @p45 :rule trans :premises (@p44 @p37)) % 0.37/0.57 (step @p46 :rule aci_norm :args ((= (or false @t32 @t45) @t46))) % 0.37/0.57 (step @p47 :rule refl :args (@t45)) % 0.37/0.57 (step @p48 :rule eq-refl :args (@t8)) % 0.37/0.57 (step @p49 :rule cong :premises (@p48) :args (@t47)) % 0.37/0.57 (step @p50 :rule trans :premises (@p49 @p3)) % 0.37/0.57 (step @p51 :rule nary_cong :premises (@p50 @p34 @p47) :args (@t48)) % 0.37/0.57 (step @p52 :rule trans :premises (@p51 @p46)) % 0.37/0.57 (step @p53 :rule cong :premises (@p52) :args ((forall @t41 @t48))) % 0.37/0.57 (step @p54 :rule trans :premises (@p53 @p45)) % 0.37/0.57 (step @p55 :rule quant-var-elim-eq :args ((= (forall @t54 @t53) @t48))) % 0.37/0.57 (step @p56 :rule aci_norm :args ((= @t55 @t53))) % 0.37/0.57 (step @p57 :rule cong :premises (@p56) :args (@t56)) % 0.37/0.57 (step @p58 :rule trans :premises (@p57 @p55)) % 0.37/0.57 (step @p59 :rule cong :premises (@p58) :args (@t57)) % 0.37/0.57 (step @p60 :rule quant-merge-prenex :args ((= @t57 @t58))) % 0.37/0.57 (step @p61 :rule symm :premises (@p60)) % 0.37/0.57 (step @p62 :rule quant_var_reordering :args ((= @t59 @t58))) % 0.37/0.57 (step @p63 :rule trans :premises (@p62 @p61 @p59)) % 0.37/0.57 (step @p64 :rule trans :premises (@p63 @p54)) % 0.37/0.57 (step @p65 :rule quant-merge-prenex :args ((= (forall @t17 @t61) @t59))) % 0.37/0.57 (step @p66 :rule alpha_equiv :args (@t62 (@list @t20) @t63)) % 0.37/0.57 (step @p67 :rule quant-unused-vars :args ((= @t64 @t62))) % 0.37/0.57 (step @p68 :rule trans :premises (@p67 @p66)) % 0.37/0.57 (step @p69 :rule alpha_equiv :args (@t65 (@list @t21) @t63)) % 0.37/0.57 (step @p70 :rule quant-unused-vars :args ((= @t66 @t65))) % 0.37/0.57 (step @p71 :rule trans :premises (@p70 @p69)) % 0.37/0.57 (step @p72 :rule alpha_equiv :args (@t67 (@list @t40) @t63)) % 0.37/0.57 (step @p73 :rule quant-unused-vars :args ((= @t68 @t67))) % 0.37/0.57 (step @p74 :rule trans :premises (@p73 @p72)) % 0.37/0.57 (step @p75 :rule nary_cong :premises (@p74 @p71 @p68) :args (@t69)) % 0.37/0.57 (step @p76 :rule quant-miniscope-and :args ((= @t70 @t69))) % 0.37/0.57 (step @p77 :rule trans :premises (@p76 @p75)) % 0.37/0.57 (step @p78 :rule refl :args (@t52)) % 0.37/0.57 (step @p79 :rule nary_cong :premises (@p78 @p42 @p77) :args (@t71)) % 0.37/0.57 (step @p80 :rule quant-miniscope-or :args ((= @t61 @t71))) % 0.37/0.57 (step @p81 :rule trans :premises (@p80 @p79)) % 0.37/0.57 (step @p82 :rule symm :premises (@p81)) % 0.37/0.57 (step @p83 :rule cong :premises (@p82) :args ((forall @t17 @t76))) % 0.37/0.57 (step @p84 :rule trans :premises (@p83 @p65)) % 0.37/0.57 (step @p85 :rule trans :premises (@p84 @p64)) % 0.37/0.57 (step @p86 :rule aci_norm :args ((= (or (or @t52 @t32) @t75) @t76))) % 0.37/0.57 (step @p87 :rule refl :args (@t75)) % 0.37/0.57 (step @p88 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 0.37/0.57 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or (not @t15) @t75))) % 0.37/0.57 (step @p90 :rule trans :premises (@p89 @p86)) % 0.37/0.57 (step @p91 :rule bool-impl-elim :args (@t15 @t75)) % 0.37/0.57 (step @p92 :rule trans :premises (@p91 @p90)) % 0.37/0.57 (step @p93 :rule cong :premises (@p92) :args ((forall @t17 (=> @t15 @t75)))) % 0.37/0.57 (step @p94 :rule trans :premises (@p93 @p85)) % 0.37/0.57 (step @p95 :rule refl :args (@t72)) % 0.37/0.57 (step @p96 :rule refl :args (@t3)) % 0.37/0.57 (step @p97 :rule cong :premises (@p96 @p95) :args ((= @t3 @t72))) % 0.37/0.57 (step @p98 :rule symm :premises (@p97)) % 0.37/0.57 (step @p99 :rule eq_resolve :premises (@p96 @p98)) % 0.37/0.57 (step @p100 :rule refl :args (@t73)) % 0.37/0.57 (step @p101 :rule refl :args (@t5)) % 0.37/0.57 (step @p102 :rule cong :premises (@p101 @p100) :args ((= @t5 @t73))) % 0.37/0.57 (step @p103 :rule symm :premises (@p102)) % 0.37/0.57 (step @p104 :rule eq_resolve :premises (@p101 @p103)) % 0.37/0.57 (step @p105 :rule cong :premises (@p104) :args (@t77)) % 0.37/0.57 (step @p106 :rule nary_cong :premises (@p105 @p99) :args (@t78)) % 0.37/0.57 (step @p107 :rule cong :premises (@p106) :args ((forall @t6 @t78))) % 0.37/0.57 (step @p108 :rule bool-impl-elim :args (@t5 @t3)) % 0.37/0.57 (step @p109 :rule cong :premises (@p108) :args (@t7)) % 0.37/0.57 (step @p110 :rule trans :premises (@p109 @p107)) % 0.37/0.57 (step @p111 :rule refl :args (@t74)) % 0.37/0.57 (step @p112 :rule refl :args (@t9)) % 0.37/0.57 (step @p113 :rule cong :premises (@p112 @p111) :args ((= @t9 @t74))) % 0.37/0.57 (step @p114 :rule symm :premises (@p113)) % 0.37/0.57 (step @p115 :rule eq_resolve :premises (@p112 @p114)) % 0.37/0.57 (step @p116 :rule cong :premises (@p115) :args (@t79)) % 0.37/0.57 (step @p117 :rule nary_cong :premises (@p116 @p104) :args (@t80)) % 0.37/0.57 (step @p118 :rule cong :premises (@p117) :args ((forall @t6 @t80))) % 0.37/0.57 (step @p119 :rule bool-impl-elim :args (@t9 @t5)) % 0.37/0.57 (step @p120 :rule cong :premises (@p119) :args (@t10)) % 0.37/0.57 (step @p121 :rule trans :premises (@p120 @p118)) % 0.37/0.57 (step @p122 :rule cong :premises (@p99) :args (@t81)) % 0.37/0.57 (step @p123 :rule nary_cong :premises (@p122 @p115) :args (@t82)) % 0.37/0.57 (step @p124 :rule cong :premises (@p123) :args ((forall @t6 @t82))) % 0.37/0.57 (step @p125 :rule bool-impl-elim :args (@t3 @t9)) % 0.37/0.57 (step @p126 :rule cong :premises (@p125) :args (@t11)) % 0.37/0.57 (step @p127 :rule trans :premises (@p126 @p124)) % 0.37/0.57 (step @p128 :rule nary_cong :premises (@p127 @p121 @p110) :args (@t12)) % 0.37/0.57 (step @p129 :rule refl :args (@t15)) % 0.37/0.57 (step @p130 :rule cong :premises (@p129 @p128) :args (@t16)) % 0.37/0.57 (step @p131 :rule cong :premises (@p130) :args (@t18)) % 0.37/0.57 (step @p132 :rule trans :premises (@p131 @p94)) % 0.37/0.57 (step @p133 :rule cong :premises (@p132) :args (@t19)) % 0.37/0.57 (step @p134 :rule trans :premises (@p133 @p3)) % 0.37/0.57 (step @p135 false :rule eq_resolve :premises (@p1 @p134)) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------