%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL644+1.001 : TPTP v9.3.1. 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 : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:15 AM UTC 2026 % Result : Theorem 0.21s 0.53s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL644+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.12/0.38 % Computer : n029.cluster.edu % 0.12/0.38 % Model : x86_64 x86_64 % 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.38 % Memory : 8046.5625MB % 0.12/0.38 % OS : Linux 6.8.0-71-generic % 0.12/0.38 % CPULimit : 300 % 0.12/0.38 % WCLimit : 300 % 0.12/0.38 % DateTime : Sat Sep 5 05:02:55 UTC 2026 % 0.12/0.38 % CPUTime : % 0.12/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.21/0.53 % SZS status Theorem % 0.21/0.53 % SZS output start Proof % 0.21/0.53 ( % 0.21/0.53 (declare-sort $$unsorted 0) % 0.21/0.53 (declare-const tptp.p2 (-> $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.p1 (-> $$unsorted Bool)) % 0.21/0.53 (define @t1 () (@var "Y" $$unsorted)) % 0.21/0.53 (define @t2 () (tptp.p1 @t1)) % 0.21/0.53 (define @t3 () (@var "X" $$unsorted)) % 0.21/0.53 (define @t4 () (tptp.p1 @t3)) % 0.21/0.53 (define @t5 () (not (tptp.r1 @t1 @t3))) % 0.21/0.53 (define @t6 () (@list @t3)) % 0.21/0.53 (define @t7 () (forall @t6 (or @t5 @t4))) % 0.21/0.53 (define @t8 () (not (and @t7 @t2))) % 0.21/0.53 (define @t9 () (not (tptp.r1 @t3 @t1))) % 0.21/0.53 (define @t10 () (or @t9 @t2 @t8)) % 0.21/0.53 (define @t11 () (@list @t1)) % 0.21/0.53 (define @t12 () (forall @t11 @t10)) % 0.21/0.53 (define @t13 () (not (and @t2 @t7 @t2))) % 0.21/0.53 (define @t14 () (tptp.p2 @t1)) % 0.21/0.53 (define @t15 () (tptp.p2 @t3)) % 0.21/0.53 (define @t16 () (forall @t6 (or @t5 @t15))) % 0.21/0.53 (define @t17 () (not (and @t14 @t16))) % 0.21/0.53 (define @t18 () (or @t9 @t17 @t2 @t14 @t13)) % 0.21/0.53 (define @t19 () (forall @t11 @t18)) % 0.21/0.53 (define @t20 () (forall @t11 (or @t9 @t2))) % 0.21/0.53 (define @t21 () (or @t5 @t15 (not (and @t4 @t20 @t4)))) % 0.21/0.53 (define @t22 () (forall @t6 @t21)) % 0.21/0.53 (define @t23 () (or @t9 @t17 @t2 @t22)) % 0.21/0.53 (define @t24 () (forall @t11 @t23)) % 0.21/0.53 (define @t25 () (@var "Y" $$unsorted)) % 0.21/0.53 (define @t26 () (tptp.p2 @t25)) % 0.21/0.53 (define @t27 () (@list @t25)) % 0.21/0.53 (define @t28 () (forall @t27 (or (not (tptp.r1 @t3 @t25)) @t26))) % 0.21/0.53 (define @t29 () (or @t5 (not (and @t15 @t28)) @t4)) % 0.21/0.53 (define @t30 () (forall @t6 @t29)) % 0.21/0.53 (define @t31 () (or @t9 @t30 @t14 @t13)) % 0.21/0.53 (define @t32 () (forall @t11 @t31)) % 0.21/0.53 (define @t33 () (and @t32 @t24 @t19)) % 0.21/0.53 (define @t34 () (not @t33)) % 0.21/0.53 (define @t35 () (or @t9 @t14 @t13)) % 0.21/0.53 (define @t36 () (forall @t11 @t35)) % 0.21/0.53 (define @t37 () (or @t9 @t17 @t2)) % 0.21/0.53 (define @t38 () (forall @t11 @t37)) % 0.21/0.53 (define @t39 () (or @t38 @t36 @t34)) % 0.21/0.53 (define @t40 () (not @t39)) % 0.21/0.53 (define @t41 () (or @t40 @t12 @t12)) % 0.21/0.53 (define @t42 () (not @t41)) % 0.21/0.53 (define @t43 () (exists @t6 @t42)) % 0.21/0.53 (define @t44 () (not false)) % 0.21/0.53 (define @t45 () (forall @t6 @t44)) % 0.21/0.53 (define @t46 () (not @t45)) % 0.21/0.53 (define @t47 () (@var "BOUND_VARIABLE_7526" $$unsorted)) % 0.21/0.53 (define @t48 () (tptp.p1 @t47)) % 0.21/0.53 (define @t49 () (@var "BOUND_VARIABLE_7541" $$unsorted)) % 0.21/0.53 (define @t50 () (@list @t47)) % 0.21/0.53 (define @t51 () (not (forall @t50 (or (not (tptp.r1 @t49 @t47)) @t48)))) % 0.21/0.53 (define @t52 () (not (tptp.p1 @t49))) % 0.21/0.53 (define @t53 () (tptp.p2 @t49)) % 0.21/0.53 (define @t54 () (not (tptp.r1 @t1 @t49))) % 0.21/0.53 (define @t55 () (not @t16)) % 0.21/0.53 (define @t56 () (not @t14)) % 0.21/0.53 (define @t57 () (or @t9 @t56 @t55 @t2 @t54 @t53 @t52 @t51)) % 0.21/0.53 (define @t58 () (@list @t1 @t49)) % 0.21/0.53 (define @t59 () (forall @t58 @t57)) % 0.21/0.53 (define @t60 () (@var "BOUND_VARIABLE_7501" $$unsorted)) % 0.21/0.53 (define @t61 () (tptp.p1 @t60)) % 0.21/0.53 (define @t62 () (not (forall @t27 (or (not (tptp.r1 @t60 @t25)) @t26)))) % 0.21/0.53 (define @t63 () (not (tptp.p2 @t60))) % 0.21/0.53 (define @t64 () (not (tptp.r1 @t1 @t60))) % 0.21/0.53 (define @t65 () (not @t7)) % 0.21/0.53 (define @t66 () (not @t2)) % 0.21/0.53 (define @t67 () (or @t9 @t14 @t66 @t65 @t64 @t63 @t62 @t61)) % 0.21/0.53 (define @t68 () (@list @t1 @t60)) % 0.21/0.53 (define @t69 () (forall @t68 @t67)) % 0.21/0.53 (define @t70 () (and @t69 @t59)) % 0.21/0.53 (define @t71 () (or @t9 @t14 @t66 @t65)) % 0.21/0.53 (define @t72 () (or @t9 @t56 @t55 @t2)) % 0.21/0.53 (define @t73 () (or @t65 @t66)) % 0.21/0.53 (define @t74 () (or @t66 @t65)) % 0.21/0.53 (define @t75 () (or @t56 @t55)) % 0.21/0.53 (define @t76 () (or @t66 @t65 @t66)) % 0.21/0.53 (define @t77 () (or @t54 @t53 @t52 @t51)) % 0.21/0.53 (define @t78 () (or @t9 @t56 @t55 @t2 @t77)) % 0.21/0.53 (define @t79 () (forall @t58 @t78)) % 0.21/0.53 (define @t80 () (@list @t49)) % 0.21/0.53 (define @t81 () (forall @t80 @t78)) % 0.21/0.53 (define @t82 () (forall @t80 @t77)) % 0.21/0.53 (define @t83 () (@list @t3)) % 0.21/0.53 (define @t84 () (or @t9 @t56 @t55 @t2 @t82)) % 0.21/0.53 (define @t85 () (not @t4)) % 0.21/0.53 (define @t86 () (forall @t6 (or @t5 @t15 @t85 (not (forall @t50 (or (not (tptp.r1 @t3 @t47)) @t48)))))) % 0.21/0.53 (define @t87 () (or @t9 @t56 @t55 @t2 @t86)) % 0.21/0.53 (define @t88 () (or @t9 @t17 @t2 @t86)) % 0.21/0.53 (define @t89 () (not @t20)) % 0.21/0.53 (define @t90 () (or @t5 @t15 @t85 @t89)) % 0.21/0.53 (define @t91 () (forall @t6 @t90)) % 0.21/0.53 (define @t92 () (or @t9 @t17 @t2 @t91)) % 0.21/0.53 (define @t93 () (or @t85 @t89)) % 0.21/0.53 (define @t94 () (or @t85 @t89 @t85)) % 0.21/0.53 (define @t95 () (or @t64 @t63 @t62 @t61)) % 0.21/0.53 (define @t96 () (or @t9 @t95 @t14 @t66 @t65)) % 0.21/0.53 (define @t97 () (forall @t68 @t96)) % 0.21/0.53 (define @t98 () (@list @t60)) % 0.21/0.53 (define @t99 () (forall @t98 @t96)) % 0.21/0.53 (define @t100 () (forall @t98 @t95)) % 0.21/0.53 (define @t101 () (or @t9 @t100 @t14 @t66 @t65)) % 0.21/0.53 (define @t102 () (not @t28)) % 0.21/0.53 (define @t103 () (not @t15)) % 0.21/0.53 (define @t104 () (or @t5 @t103 @t102 @t4)) % 0.21/0.53 (define @t105 () (forall @t6 @t104)) % 0.21/0.53 (define @t106 () (or @t9 @t105 @t14 @t66 @t65)) % 0.21/0.53 (define @t107 () (or @t9 @t105 @t14 @t13)) % 0.21/0.53 (assume @p1 (not (not @t43))) % 0.21/0.53 (assume @p2 true) % 0.21/0.53 (step @p3 :rule evaluate :args ((not true))) % 0.21/0.53 (step @p4 :rule quant-unused-vars :args ((= (forall @t6 true) true))) % 0.21/0.53 (step @p5 :rule evaluate :args (@t44)) % 0.21/0.53 (step @p6 :rule cong :premises (@p5) :args (@t45)) % 0.21/0.53 (step @p7 :rule trans :premises (@p6 @p4)) % 0.21/0.53 (step @p8 :rule cong :premises (@p7) :args (@t46)) % 0.21/0.53 (step @p9 :rule trans :premises (@p8 @p3)) % 0.21/0.53 (step @p10 :rule exists-elim :args ((= (exists @t6 false) @t46))) % 0.21/0.53 (step @p11 :rule trans :premises (@p10 @p9)) % 0.21/0.53 (step @p12 :rule absorb :args ((= (or (not (or (forall @t11 @t72) (forall @t11 @t71) (not @t70))) true true) true))) % 0.21/0.53 (step @p13 :rule quant-unused-vars :args ((= (forall @t11 true) true))) % 0.21/0.53 (step @p14 :rule bool-or-taut :args ((or @t9) @t2 (or @t65) false)) % 0.21/0.53 (step @p15 :rule aci_norm :args ((= (or @t9 @t2 @t73) (or @t9 @t2 @t65 @t66)))) % 0.21/0.53 (step @p16 :rule trans :premises (@p15 @p14)) % 0.21/0.53 (step @p17 :rule bool-and-de-morgan :args (@t7 @t2 true)) % 0.21/0.53 (step @p18 :rule refl :args (@t2)) % 0.21/0.53 (step @p19 :rule refl :args (@t9)) % 0.21/0.53 (step @p20 :rule nary_cong :premises (@p19 @p18 @p17) :args (@t10)) % 0.21/0.53 (step @p21 :rule trans :premises (@p20 @p16)) % 0.21/0.53 (step @p22 :rule cong :premises (@p21) :args (@t12)) % 0.21/0.53 (step @p23 :rule trans :premises (@p22 @p13)) % 0.21/0.53 (step @p24 :rule aci_norm :args ((= (and @t69 @t59 true) @t70))) % 0.21/0.53 (step @p25 :rule bool-or-taut2 :args ((or @t9) @t14 (or @t55 @t2) (or @t66 @t65))) % 0.21/0.53 (step @p26 :rule aci_norm :args ((= (or @t9 @t75 @t2 @t14 @t74) (or @t9 @t56 @t55 @t2 @t14 @t66 @t65)))) % 0.21/0.53 (step @p27 :rule trans :premises (@p26 @p25)) % 0.21/0.53 (step @p28 :rule aci_norm :args ((= @t76 @t74))) % 0.21/0.53 (step @p29 :rule aci_norm :args ((= (or @t66 @t73) @t76))) % 0.21/0.53 (step @p30 :rule refl :args (@t66)) % 0.21/0.53 (step @p31 :rule nary_cong :premises (@p30 @p17) :args ((or @t66 @t8))) % 0.21/0.53 (step @p32 :rule bool-and-de-morgan :args (@t2 @t7 (and @t2))) % 0.21/0.53 (step @p33 :rule trans :premises (@p32 @p31)) % 0.21/0.53 (step @p34 :rule trans :premises (@p33 @p29)) % 0.21/0.53 (step @p35 :rule trans :premises (@p34 @p28)) % 0.21/0.53 (step @p36 :rule refl :args (@t14)) % 0.21/0.53 (step @p37 :rule bool-and-de-morgan :args (@t14 @t16 true)) % 0.21/0.53 (step @p38 :rule nary_cong :premises (@p19 @p37 @p18 @p36 @p35) :args (@t18)) % 0.21/0.53 (step @p39 :rule trans :premises (@p38 @p27)) % 0.21/0.53 (step @p40 :rule cong :premises (@p39) :args (@t19)) % 0.21/0.53 (step @p41 :rule trans :premises (@p40 @p13)) % 0.21/0.53 (step @p42 :rule aci_norm :args ((= @t78 @t57))) % 0.21/0.53 (step @p43 :rule cong :premises (@p42) :args (@t79)) % 0.21/0.53 (step @p44 :rule quant-merge-prenex :args ((= (forall @t11 @t81) @t79))) % 0.21/0.53 (step @p45 :rule alpha_equiv :args (@t82 (@list @t49) @t83)) % 0.21/0.53 (step @p46 :rule refl :args (@t55)) % 0.21/0.53 (step @p47 :rule refl :args (@t56)) % 0.21/0.53 (step @p48 :rule nary_cong :premises (@p19 @p47 @p46 @p18 @p45) :args (@t84)) % 0.21/0.53 (step @p49 :rule quant-miniscope-or :args ((= @t81 @t84))) % 0.21/0.53 (step @p50 :rule trans :premises (@p49 @p48)) % 0.21/0.53 (step @p51 :rule symm :premises (@p50)) % 0.21/0.53 (step @p52 :rule cong :premises (@p51) :args ((forall @t11 @t87))) % 0.21/0.53 (step @p53 :rule trans :premises (@p52 @p44)) % 0.21/0.53 (step @p54 :rule trans :premises (@p53 @p43)) % 0.21/0.53 (step @p55 :rule aci_norm :args ((= (or @t9 @t75 @t2 @t86) @t87))) % 0.21/0.53 (step @p56 :rule refl :args (@t86)) % 0.21/0.53 (step @p57 :rule nary_cong :premises (@p19 @p37 @p18 @p56) :args (@t88)) % 0.21/0.53 (step @p58 :rule trans :premises (@p57 @p55)) % 0.21/0.53 (step @p59 :rule cong :premises (@p58) :args ((forall @t11 @t88))) % 0.21/0.53 (step @p60 :rule trans :premises (@p59 @p54)) % 0.21/0.53 (step @p61 :rule alpha_equiv :args (@t20 (@list @t1) (@list @t47))) % 0.21/0.53 (step @p62 :rule cong :premises (@p61) :args (@t89)) % 0.21/0.53 (step @p63 :rule refl :args (@t85)) % 0.21/0.53 (step @p64 :rule refl :args (@t15)) % 0.21/0.53 (step @p65 :rule refl :args (@t5)) % 0.21/0.53 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63 @p62) :args (@t90)) % 0.21/0.53 (step @p67 :rule cong :premises (@p66) :args (@t91)) % 0.21/0.53 (step @p68 :rule refl :args (@t17)) % 0.21/0.53 (step @p69 :rule nary_cong :premises (@p19 @p68 @p18 @p67) :args (@t92)) % 0.21/0.54 (step @p70 :rule cong :premises (@p69) :args ((forall @t11 @t92))) % 0.21/0.54 (step @p71 :rule trans :premises (@p70 @p60)) % 0.21/0.54 (step @p72 :rule aci_norm :args ((= (or @t5 @t15 @t93) @t90))) % 0.21/0.54 (step @p73 :rule aci_norm :args ((= @t94 @t93))) % 0.21/0.54 (step @p74 :rule aci_norm :args ((= (or @t85 (or @t89 @t85)) @t94))) % 0.21/0.54 (step @p75 :rule bool-and-de-morgan :args (@t20 @t4 true)) % 0.21/0.54 (step @p76 :rule nary_cong :premises (@p63 @p75) :args ((or @t85 (not (and @t20 @t4))))) % 0.21/0.54 (step @p77 :rule bool-and-de-morgan :args (@t4 @t20 (and @t4))) % 0.21/0.54 (step @p78 :rule trans :premises (@p77 @p76)) % 0.21/0.54 (step @p79 :rule trans :premises (@p78 @p74)) % 0.21/0.54 (step @p80 :rule trans :premises (@p79 @p73)) % 0.21/0.54 (step @p81 :rule nary_cong :premises (@p65 @p64 @p80) :args (@t21)) % 0.21/0.54 (step @p82 :rule trans :premises (@p81 @p72)) % 0.21/0.54 (step @p83 :rule cong :premises (@p82) :args (@t22)) % 0.21/0.54 (step @p84 :rule refl :args (@t2)) % 0.21/0.54 (step @p85 :rule refl :args (@t17)) % 0.21/0.54 (step @p86 :rule refl :args (@t9)) % 0.21/0.54 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84 @p83) :args (@t23)) % 0.21/0.54 (step @p88 :rule cong :premises (@p87) :args (@t24)) % 0.21/0.54 (step @p89 :rule trans :premises (@p88 @p71)) % 0.21/0.54 (step @p90 :rule aci_norm :args ((= @t96 @t67))) % 0.21/0.54 (step @p91 :rule cong :premises (@p90) :args (@t97)) % 0.21/0.54 (step @p92 :rule quant-merge-prenex :args ((= (forall @t11 @t99) @t97))) % 0.21/0.54 (step @p93 :rule refl :args (@t65)) % 0.21/0.54 (step @p94 :rule alpha_equiv :args (@t100 (@list @t60) @t83)) % 0.21/0.54 (step @p95 :rule nary_cong :premises (@p19 @p94 @p36 @p30 @p93) :args (@t101)) % 0.21/0.54 (step @p96 :rule quant-miniscope-or :args ((= @t99 @t101))) % 0.21/0.54 (step @p97 :rule trans :premises (@p96 @p95)) % 0.21/0.54 (step @p98 :rule symm :premises (@p97)) % 0.21/0.54 (step @p99 :rule cong :premises (@p98) :args ((forall @t11 @t106))) % 0.21/0.54 (step @p100 :rule trans :premises (@p99 @p92)) % 0.21/0.54 (step @p101 :rule trans :premises (@p100 @p91)) % 0.21/0.54 (step @p102 :rule aci_norm :args ((= (or @t9 @t105 @t14 @t74) @t106))) % 0.21/0.54 (step @p103 :rule refl :args (@t105)) % 0.21/0.54 (step @p104 :rule nary_cong :premises (@p19 @p103 @p36 @p35) :args (@t107)) % 0.21/0.54 (step @p105 :rule trans :premises (@p104 @p102)) % 0.21/0.54 (step @p106 :rule cong :premises (@p105) :args ((forall @t11 @t107))) % 0.21/0.54 (step @p107 :rule trans :premises (@p106 @p101)) % 0.21/0.54 (step @p108 :rule refl :args (@t13)) % 0.21/0.54 (step @p109 :rule refl :args (@t14)) % 0.21/0.54 (step @p110 :rule aci_norm :args ((= (or @t5 (or @t103 @t102) @t4) @t104))) % 0.21/0.54 (step @p111 :rule refl :args (@t4)) % 0.21/0.54 (step @p112 :rule bool-and-de-morgan :args (@t15 @t28 true)) % 0.21/0.54 (step @p113 :rule nary_cong :premises (@p65 @p112 @p111) :args (@t29)) % 0.21/0.54 (step @p114 :rule trans :premises (@p113 @p110)) % 0.21/0.54 (step @p115 :rule cong :premises (@p114) :args (@t30)) % 0.21/0.54 (step @p116 :rule nary_cong :premises (@p86 @p115 @p109 @p108) :args (@t31)) % 0.21/0.54 (step @p117 :rule cong :premises (@p116) :args (@t32)) % 0.21/0.54 (step @p118 :rule trans :premises (@p117 @p107)) % 0.21/0.54 (step @p119 :rule nary_cong :premises (@p118 @p89 @p41) :args (@t33)) % 0.21/0.54 (step @p120 :rule trans :premises (@p119 @p24)) % 0.21/0.54 (step @p121 :rule cong :premises (@p120) :args (@t34)) % 0.21/0.54 (step @p122 :rule aci_norm :args ((= (or @t9 @t14 @t74) @t71))) % 0.21/0.54 (step @p123 :rule nary_cong :premises (@p19 @p36 @p35) :args (@t35)) % 0.21/0.54 (step @p124 :rule trans :premises (@p123 @p122)) % 0.21/0.54 (step @p125 :rule cong :premises (@p124) :args (@t36)) % 0.21/0.54 (step @p126 :rule aci_norm :args ((= (or @t9 @t75 @t2) @t72))) % 0.21/0.54 (step @p127 :rule nary_cong :premises (@p19 @p37 @p18) :args (@t37)) % 0.21/0.54 (step @p128 :rule trans :premises (@p127 @p126)) % 0.21/0.54 (step @p129 :rule cong :premises (@p128) :args (@t38)) % 0.21/0.54 (step @p130 :rule nary_cong :premises (@p129 @p125 @p121) :args (@t39)) % 0.21/0.54 (step @p131 :rule cong :premises (@p130) :args (@t40)) % 0.21/0.54 (step @p132 :rule nary_cong :premises (@p131 @p23 @p23) :args (@t41)) % 0.21/0.54 (step @p133 :rule trans :premises (@p132 @p12)) % 0.21/0.54 (step @p134 :rule cong :premises (@p133) :args (@t42)) % 0.21/0.54 (step @p135 :rule trans :premises (@p134 @p3)) % 0.21/0.54 (step @p136 :rule cong :premises (@p135) :args (@t43)) % 0.21/0.54 (step @p137 :rule trans :premises (@p136 @p11)) % 0.21/0.54 (step @p138 :rule bool-double-not-elim :args (@t43)) % 0.21/0.54 (step @p139 :rule trans :premises (@p138 @p137)) % 0.21/0.54 (step @p140 false :rule eq_resolve :premises (@p1 @p139)) % 0.21/0.54 ) % 0.21/0.54 % SZS output end Proof % 0.21/0.54 % cvc5 exiting %------------------------------------------------------------------------------