%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG284^5 : 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 : n023.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 08:05:44 AM UTC 2026 % Result : Theorem 205.31s 205.54s % Output : Proof 205.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG284^5 : 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 % 0.17/0.34 % Computer : n023.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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 01:59:43 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.49 %----Proving TH0 % 205.31/205.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 205.31/205.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 205.31/205.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 205.31/205.54 --- Run --ho-elim --full-saturate-quant at 18s... % 205.31/205.54 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 205.31/205.54 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 205.31/205.54 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s... % 205.31/205.54 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 6s... % 205.31/205.54 % SZS status Theorem % 205.31/205.54 % SZS output start Proof % 205.31/205.54 ( % 205.31/205.54 (declare-sort $$unsorted 0) % 205.31/205.54 (declare-const tptp.cE $$unsorted) % 205.31/205.54 (declare-const tptp.cP (-> $$unsorted $$unsorted $$unsorted)) % 205.31/205.54 (declare-const tptp.cJ (-> $$unsorted $$unsorted)) % 205.31/205.54 (define @t1 () (@var "X" $$unsorted)) % 205.31/205.54 (define @t2 () (_ tptp.cJ @t1)) % 205.31/205.54 (define @t3 () (@var "Y" $$unsorted)) % 205.31/205.54 (define @t4 () (_ tptp.cJ @t3)) % 205.31/205.54 (define @t5 () (_ (_ tptp.cP @t4) @t2)) % 205.31/205.54 (define @t6 () (_ (_ tptp.cP @t1) @t3)) % 205.31/205.54 (define @t7 () (_ tptp.cJ @t6)) % 205.31/205.54 (define @t8 () (= @t7 @t5)) % 205.31/205.54 (define @t9 () (@list @t1 @t3)) % 205.31/205.54 (define @t10 () (forall @t9 @t8)) % 205.31/205.54 (define @t11 () (@var "Xy" $$unsorted)) % 205.31/205.54 (define @t12 () (_ tptp.cJ @t11)) % 205.31/205.54 (define @t13 () (_ (_ tptp.cP @t12) @t11)) % 205.31/205.54 (define @t14 () (@list @t11)) % 205.31/205.54 (define @t15 () (forall @t14 (= @t13 tptp.cE))) % 205.31/205.54 (define @t16 () (@var "Xx" $$unsorted)) % 205.31/205.54 (define @t17 () (_ (_ tptp.cP tptp.cE) @t16)) % 205.31/205.54 (define @t18 () (@list @t16)) % 205.31/205.54 (define @t19 () (forall @t18 (= @t17 @t16))) % 205.31/205.54 (define @t20 () (@var "Xz" $$unsorted)) % 205.31/205.54 (define @t21 () (_ (_ tptp.cP @t11) @t20)) % 205.31/205.54 (define @t22 () (_ tptp.cP @t16)) % 205.31/205.54 (define @t23 () (_ @t22 @t21)) % 205.31/205.54 (define @t24 () (_ @t22 @t11)) % 205.31/205.54 (define @t25 () (_ (_ tptp.cP @t24) @t20)) % 205.31/205.54 (define @t26 () (= @t25 @t23)) % 205.31/205.54 (define @t27 () (forall (@list @t16 @t11 @t20) @t26)) % 205.31/205.54 (define @t28 () (and @t27 @t19 @t15)) % 205.31/205.54 (define @t29 () (=> @t28 @t10)) % 205.31/205.54 (define @t30 () (not @t29)) % 205.31/205.54 (define @t31 () (tptp.cJ @t1)) % 205.31/205.54 (define @t32 () (tptp.cJ @t3)) % 205.31/205.54 (define @t33 () (tptp.cP @t32 @t31)) % 205.31/205.54 (define @t34 () (tptp.cP @t1 @t3)) % 205.31/205.54 (define @t35 () (tptp.cJ @t34)) % 205.31/205.54 (define @t36 () (tptp.cJ @t11)) % 205.31/205.54 (define @t37 () (tptp.cP @t36 @t11)) % 205.31/205.54 (define @t38 () (= tptp.cE @t13)) % 205.31/205.54 (define @t39 () (tptp.cP tptp.cE @t16)) % 205.31/205.54 (define @t40 () (= @t16 @t17)) % 205.31/205.54 (define @t41 () (tptp.cP @t11 @t20)) % 205.31/205.54 (define @t42 () (tptp.cP @t16 @t41)) % 205.31/205.54 (define @t43 () (tptp.cP @t16 @t11)) % 205.31/205.54 (define @t44 () (tptp.cP @t43 @t20)) % 205.31/205.54 (define @t45 () (forall @t9 (= @t35 @t33))) % 205.31/205.54 (define @t46 () (@quantifiers_skolemize @t45 0)) % 205.31/205.54 (define @t47 () (@list @t46)) % 205.31/205.54 (define @t48 () (@quantifiers_skolemize @t45 1)) % 205.31/205.54 (define @t49 () (tptp.cP @t46 @t48)) % 205.31/205.54 (define @t50 () (@list @t49)) % 205.31/205.54 (define @t51 () (tptp.cJ @t49)) % 205.31/205.54 (define @t52 () (@list @t51)) % 205.31/205.54 (define @t53 () (@list @t48)) % 205.31/205.54 (define @t54 () (tptp.cJ @t46)) % 205.31/205.54 (define @t55 () (tptp.cJ @t48)) % 205.31/205.54 (define @t56 () (tptp.cJ @t51)) % 205.31/205.54 (define @t57 () (tptp.cP @t51 @t49)) % 205.31/205.54 (define @t58 () (@list @t54)) % 205.31/205.54 (define @t59 () (tptp.cP @t46 @t54)) % 205.31/205.54 (define @t60 () (tptp.cJ @t54)) % 205.31/205.54 (define @t61 () (tptp.cP tptp.cE @t46)) % 205.31/205.54 (define @t62 () (= @t46 @t61)) % 205.31/205.54 (define @t63 () (tptp.cP tptp.cE @t49)) % 205.31/205.54 (define @t64 () (= @t49 @t63)) % 205.31/205.54 (define @t65 () (tptp.cP @t54 @t46)) % 205.31/205.54 (define @t66 () (= tptp.cE @t65)) % 205.31/205.54 (define @t67 () (= tptp.cE @t57)) % 205.31/205.54 (define @t68 () (= @t51 (tptp.cP tptp.cE @t51))) % 205.31/205.54 (define @t69 () (tptp.cP @t56 @t51)) % 205.31/205.54 (define @t70 () (= tptp.cE @t69)) % 205.31/205.54 (define @t71 () (tptp.cP @t55 @t48)) % 205.31/205.54 (define @t72 () (= tptp.cE @t71)) % 205.31/205.54 (define @t73 () (tptp.cP @t51 (tptp.cP @t49 @t48))) % 205.31/205.54 (define @t74 () (tptp.cP @t57 @t48)) % 205.31/205.54 (define @t75 () (= @t74 @t73)) % 205.31/205.54 (define @t76 () (tptp.cP tptp.cE @t48)) % 205.31/205.54 (define @t77 () (= @t48 @t76)) % 205.31/205.54 (define @t78 () (tptp.cP @t54 @t49)) % 205.31/205.54 (define @t79 () (= (tptp.cP @t65 @t48) @t78)) % 205.31/205.54 (define @t80 () (tptp.cP @t48 @t51)) % 205.31/205.54 (define @t81 () (tptp.cP @t55 @t80)) % 205.31/205.54 (define @t82 () (= (tptp.cP @t71 @t51) @t81)) % 205.31/205.54 (define @t83 () (tptp.cP @t56 @t57)) % 205.31/205.54 (define @t84 () (= (tptp.cP @t69 @t49) @t83)) % 205.31/205.54 (define @t85 () (tptp.cP @t57 @t51)) % 205.31/205.54 (define @t86 () (tptp.cP @t56 @t85)) % 205.31/205.54 (define @t87 () (= (tptp.cP @t83 @t51) @t86)) % 205.31/205.54 (define @t88 () (tptp.cP @t54 @t59)) % 205.31/205.54 (define @t89 () (tptp.cP @t65 @t54)) % 205.31/205.54 (define @t90 () (= @t89 @t88)) % 205.31/205.54 (define @t91 () (tptp.cP @t61 @t54)) % 205.31/205.54 (define @t92 () (= @t91 (tptp.cP tptp.cE @t59))) % 205.31/205.54 (define @t93 () (= @t54 (tptp.cP tptp.cE @t54))) % 205.31/205.54 (define @t94 () (tptp.cP @t60 @t54)) % 205.31/205.54 (define @t95 () (= tptp.cE @t94)) % 205.31/205.54 (define @t96 () (tptp.cP @t94 @t59)) % 205.31/205.54 (define @t97 () (= @t96 (tptp.cP @t60 @t88))) % 205.31/205.54 (define @t98 () (tptp.cP @t49 @t51)) % 205.31/205.54 (define @t99 () (tptp.cP @t54 @t98)) % 205.31/205.54 (define @t100 () (= (tptp.cP @t78 @t51) @t99)) % 205.31/205.54 (define @t101 () (= @t51 (tptp.cP @t55 @t54))) % 205.31/205.54 (define @t102 () (and @t62 @t64 @t66 @t67 @t68 @t70 @t72 @t75 @t77 @t79 @t82 @t84 @t87 @t90 @t92 @t93 @t95 @t97 @t100)) % 205.31/205.54 (assume @p1 @t30) % 205.31/205.54 (assume @p2 true) % 205.31/205.54 (step @p3 :rule refl :args ((tptp.cP @t4 @t2))) % 205.31/205.54 (step @p4 :rule refl :args (@t31)) % 205.31/205.54 (step @p5 :rule refl :args (@t32)) % 205.31/205.54 (step @p6 :rule cong :premises (@p5 @p4) :args (@t33)) % 205.31/205.54 (step @p7 :rule trans :premises (@p6 @p3)) % 205.31/205.54 (step @p8 :rule refl :args (tptp.cP)) % 205.31/205.54 (step @p9 :rule ho_cong :premises (@p8 @p5)) % 205.31/205.54 (step @p10 :rule ho_cong :premises (@p9 @p4)) % 205.31/205.54 (step @p11 :rule cong :premises (@p10 @p7) :args ((= (_ (_ tptp.cP @t32) @t31) @t33))) % 205.31/205.54 (step @p12 :rule symm :premises (@p11)) % 205.31/205.54 (step @p13 :rule refl :args (@t5)) % 205.31/205.54 (step @p14 :rule eq_resolve :premises (@p13 @p12)) % 205.31/205.54 (step @p15 :rule refl :args (@t2)) % 205.31/205.54 (step @p16 :rule cong :premises (@p15 @p4) :args ((= @t2 @t31))) % 205.31/205.54 (step @p17 :rule symm :premises (@p16)) % 205.31/205.54 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 205.31/205.54 (step @p19 :rule refl :args (@t4)) % 205.31/205.54 (step @p20 :rule cong :premises (@p19 @p5) :args ((= @t4 @t32))) % 205.31/205.54 (step @p21 :rule symm :premises (@p20)) % 205.31/205.54 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 205.31/205.54 (step @p23 :rule ho_cong :premises (@p8 @p22)) % 205.31/205.54 (step @p24 :rule ho_cong :premises (@p23 @p18)) % 205.31/205.54 (step @p25 :rule trans :premises (@p24 @p14)) % 205.31/205.54 (step @p26 :rule refl :args ((tptp.cJ @t6))) % 205.31/205.54 (step @p27 :rule refl :args (@t34)) % 205.31/205.54 (step @p28 :rule cong :premises (@p27) :args (@t35)) % 205.31/205.54 (step @p29 :rule trans :premises (@p28 @p26)) % 205.31/205.54 (step @p30 :rule refl :args (tptp.cJ)) % 205.31/205.54 (step @p31 :rule ho_cong :premises (@p30 @p27)) % 205.31/205.54 (step @p32 :rule cong :premises (@p31 @p29) :args ((= (_ tptp.cJ @t34) @t35))) % 205.31/205.54 (step @p33 :rule symm :premises (@p32)) % 205.31/205.54 (step @p34 :rule refl :args (@t7)) % 205.31/205.54 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 205.31/205.54 (step @p36 :rule refl :args (@t6)) % 205.31/205.54 (step @p37 :rule cong :premises (@p36 @p27) :args ((= @t6 @t34))) % 205.31/205.54 (step @p38 :rule symm :premises (@p37)) % 205.31/205.54 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 205.31/205.54 (step @p40 :rule ho_cong :premises (@p30 @p39)) % 205.31/205.54 (step @p41 :rule trans :premises (@p40 @p35)) % 205.31/205.54 (step @p42 :rule cong :premises (@p41 @p25) :args (@t8)) % 205.31/205.54 (step @p43 :rule cong :premises (@p42) :args (@t10)) % 205.31/205.54 (step @p44 :rule refl :args ((tptp.cP @t12 @t11))) % 205.31/205.54 (step @p45 :rule refl :args (@t11)) % 205.31/205.54 (step @p46 :rule refl :args (@t36)) % 205.31/205.54 (step @p47 :rule cong :premises (@p46 @p45) :args (@t37)) % 205.31/205.54 (step @p48 :rule trans :premises (@p47 @p44)) % 205.31/205.54 (step @p49 :rule ho_cong :premises (@p8 @p46)) % 205.31/205.54 (step @p50 :rule ho_cong :premises (@p49 @p45)) % 205.31/205.54 (step @p51 :rule cong :premises (@p50 @p48) :args ((= (_ (_ tptp.cP @t36) @t11) @t37))) % 205.31/205.54 (step @p52 :rule symm :premises (@p51)) % 205.31/205.54 (step @p53 :rule refl :args (@t13)) % 205.31/205.54 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 205.31/205.54 (step @p55 :rule refl :args (@t12)) % 205.31/205.54 (step @p56 :rule cong :premises (@p55 @p46) :args ((= @t12 @t36))) % 205.31/205.54 (step @p57 :rule symm :premises (@p56)) % 205.31/205.54 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 205.31/205.54 (step @p59 :rule ho_cong :premises (@p8 @p58)) % 205.31/205.54 (step @p60 :rule ho_cong :premises (@p59 @p45)) % 205.31/205.54 (step @p61 :rule trans :premises (@p60 @p54)) % 205.31/205.54 (step @p62 :rule refl :args (tptp.cE)) % 205.31/205.54 (step @p63 :rule cong :premises (@p62 @p61) :args (@t38)) % 205.31/205.54 (step @p64 :rule cong :premises (@p63) :args ((forall @t14 @t38))) % 205.31/205.54 (step @p65 :rule eq-symm :args (@t13 tptp.cE)) % 205.31/205.54 (step @p66 :rule cong :premises (@p65) :args (@t15)) % 205.31/205.54 (step @p67 :rule trans :premises (@p66 @p64)) % 205.31/205.54 (step @p68 :rule refl :args (@t39)) % 205.31/205.54 (step @p69 :rule refl :args (@t17)) % 205.31/205.54 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t17 @t39))) % 205.31/205.54 (step @p71 :rule symm :premises (@p70)) % 205.31/205.54 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 205.31/205.54 (step @p73 :rule refl :args (@t16)) % 205.31/205.54 (step @p74 :rule cong :premises (@p73 @p72) :args (@t40)) % 205.31/205.54 (step @p75 :rule cong :premises (@p74) :args ((forall @t18 @t40))) % 205.31/205.54 (step @p76 :rule eq-symm :args (@t17 @t16)) % 205.31/205.54 (step @p77 :rule cong :premises (@p76) :args (@t19)) % 205.31/205.54 (step @p78 :rule trans :premises (@p77 @p75)) % 205.31/205.54 (step @p79 :rule refl :args ((tptp.cP @t16 @t21))) % 205.31/205.54 (step @p80 :rule refl :args (@t41)) % 205.31/205.54 (step @p81 :rule cong :premises (@p73 @p80) :args (@t42)) % 205.31/205.54 (step @p82 :rule trans :premises (@p81 @p79)) % 205.31/205.54 (step @p83 :rule refl :args (@t22)) % 205.31/205.54 (step @p84 :rule ho_cong :premises (@p83 @p80)) % 205.31/205.54 (step @p85 :rule cong :premises (@p84 @p82) :args ((= (_ @t22 @t41) @t42))) % 205.31/205.54 (step @p86 :rule symm :premises (@p85)) % 205.31/205.54 (step @p87 :rule refl :args (@t23)) % 205.31/205.54 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 205.31/205.54 (step @p89 :rule refl :args (@t21)) % 205.31/205.54 (step @p90 :rule cong :premises (@p89 @p80) :args ((= @t21 @t41))) % 205.31/205.54 (step @p91 :rule symm :premises (@p90)) % 205.31/205.54 (step @p92 :rule eq_resolve :premises (@p89 @p91)) % 205.31/205.54 (step @p93 :rule ho_cong :premises (@p83 @p92)) % 205.31/205.54 (step @p94 :rule trans :premises (@p93 @p88)) % 205.31/205.54 (step @p95 :rule refl :args ((tptp.cP @t24 @t20))) % 205.31/205.54 (step @p96 :rule refl :args (@t20)) % 205.31/205.54 (step @p97 :rule refl :args (@t43)) % 205.31/205.54 (step @p98 :rule cong :premises (@p97 @p96) :args (@t44)) % 205.31/205.54 (step @p99 :rule trans :premises (@p98 @p95)) % 205.31/205.54 (step @p100 :rule ho_cong :premises (@p8 @p97)) % 205.31/205.54 (step @p101 :rule ho_cong :premises (@p100 @p96)) % 205.31/205.54 (step @p102 :rule cong :premises (@p101 @p99) :args ((= (_ (_ tptp.cP @t43) @t20) @t44))) % 205.31/205.54 (step @p103 :rule symm :premises (@p102)) % 205.31/205.54 (step @p104 :rule refl :args (@t25)) % 205.31/205.54 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 205.31/205.54 (step @p106 :rule refl :args (@t24)) % 205.31/205.54 (step @p107 :rule cong :premises (@p106 @p97) :args ((= @t24 @t43))) % 205.31/205.54 (step @p108 :rule symm :premises (@p107)) % 205.31/205.54 (step @p109 :rule eq_resolve :premises (@p106 @p108)) % 205.31/205.54 (step @p110 :rule ho_cong :premises (@p8 @p109)) % 205.31/205.54 (step @p111 :rule ho_cong :premises (@p110 @p96)) % 205.31/205.54 (step @p112 :rule trans :premises (@p111 @p105)) % 205.31/205.54 (step @p113 :rule cong :premises (@p112 @p94) :args (@t26)) % 205.31/205.54 (step @p114 :rule cong :premises (@p113) :args (@t27)) % 205.31/205.54 (step @p115 :rule nary_cong :premises (@p114 @p78 @p67) :args (@t28)) % 205.31/205.54 (step @p116 :rule cong :premises (@p115 @p43) :args (@t29)) % 205.31/205.54 (step @p117 :rule cong :premises (@p116) :args (@t30)) % 205.31/205.54 (step @p118 :rule eq_resolve :premises (@p1 @p117)) % 205.31/205.54 (step @p119 :rule not_implies_elim2 :premises (@p118)) % 205.31/205.54 (step @p120 :rule skolemize :premises (@p119)) % 205.31/205.54 (step @p121 :rule not_implies_elim1 :premises (@p118)) % 205.31/205.54 (step @p122 :rule and_elim :premises (@p121) :args (1)) % 205.31/205.54 (step @p123 :rule instantiate :premises (@p122) :args (@t47)) % 205.31/205.54 (step @p124 :rule instantiate :premises (@p122) :args (@t50)) % 205.31/205.54 (step @p125 :rule and_elim :premises (@p121) :args (2)) % 205.31/205.54 (step @p126 :rule instantiate :premises (@p125) :args (@t47)) % 205.31/205.54 (step @p127 :rule instantiate :premises (@p125) :args (@t50)) % 205.31/205.54 (step @p128 :rule instantiate :premises (@p122) :args (@t52)) % 205.31/205.54 (step @p129 :rule instantiate :premises (@p125) :args (@t52)) % 205.31/205.54 (step @p130 :rule instantiate :premises (@p125) :args (@t53)) % 205.31/205.54 (step @p131 :rule and_elim :premises (@p121) :args (0)) % 205.31/205.54 (step @p132 :rule instantiate :premises (@p131) :args ((@list @t51 @t49 @t48))) % 205.31/205.54 (step @p133 :rule instantiate :premises (@p122) :args (@t53)) % 205.31/205.54 (step @p134 :rule instantiate :premises (@p131) :args ((@list @t54 @t46 @t48))) % 205.31/205.54 (step @p135 :rule instantiate :premises (@p131) :args ((@list @t55 @t48 @t51))) % 205.31/205.54 (step @p136 :rule instantiate :premises (@p131) :args ((@list @t56 @t51 @t49))) % 205.31/205.54 (step @p137 :rule instantiate :premises (@p131) :args ((@list @t56 @t57 @t51))) % 205.31/205.54 (step @p138 :rule instantiate :premises (@p131) :args ((@list @t54 @t46 @t54))) % 205.31/205.54 (step @p139 :rule instantiate :premises (@p131) :args ((@list tptp.cE @t46 @t54))) % 205.31/205.54 (step @p140 :rule instantiate :premises (@p122) :args (@t58)) % 205.31/205.54 (step @p141 :rule instantiate :premises (@p125) :args (@t58)) % 205.31/205.54 (step @p142 :rule instantiate :premises (@p131) :args ((@list @t60 @t54 @t59))) % 205.31/205.54 (step @p143 :rule instantiate :premises (@p131) :args ((@list @t54 @t49 @t51))) % 205.31/205.54 (assume-push @p244 @t62) % 205.31/205.54 (assume-push @p245 @t64) % 205.31/205.54 (assume-push @p246 @t66) % 205.31/205.54 (assume-push @p247 @t67) % 205.31/205.54 (assume-push @p248 @t68) % 205.31/205.54 (assume-push @p249 @t70) % 205.31/205.54 (assume-push @p250 @t72) % 205.31/205.54 (assume-push @p251 @t75) % 205.31/205.54 (assume-push @p252 @t77) % 205.31/205.54 (assume-push @p253 @t79) % 205.31/205.54 (assume-push @p254 @t82) % 205.31/205.54 (assume-push @p255 @t84) % 205.31/205.54 (assume-push @p256 @t87) % 205.31/205.54 (assume-push @p257 @t90) % 205.31/205.54 (assume-push @p258 @t92) % 205.31/205.54 (assume-push @p259 @t93) % 205.31/205.54 (assume-push @p260 @t95) % 205.31/205.54 (assume-push @p261 @t97) % 205.31/205.54 (assume-push @p262 @t100) % 205.31/205.54 (step @p163 :rule symm :premises (@p140)) % 205.31/205.54 (step @p164 :rule refl :args (@t54)) % 205.31/205.54 (step @p165 :rule symm :premises (@p126)) % 205.31/205.54 (step @p166 :rule cong :premises (@p165 @p164) :args (@t89)) % 205.31/205.54 (step @p167 :rule symm :premises (@p138)) % 205.31/205.54 (step @p168 :rule symm :premises (@p123)) % 205.31/205.54 (step @p169 :rule cong :premises (@p168 @p164) :args (@t91)) % 205.31/205.54 (step @p170 :rule symm :premises (@p139)) % 205.31/205.54 (step @p171 :rule refl :args (@t59)) % 205.31/205.54 (step @p172 :rule symm :premises (@p141)) % 205.31/205.54 (step @p173 :rule cong :premises (@p172 @p171) :args (@t96)) % 205.31/205.54 (step @p174 :rule symm :premises (@p142)) % 205.31/205.54 (step @p175 :rule symm :premises (@p166)) % 205.31/205.54 (step @p176 :rule trans :premises (@p140 @p175 @p138)) % 205.31/205.54 (step @p177 :rule refl :args (@t60)) % 205.31/205.54 (step @p178 :rule cong :premises (@p177 @p176) :args (@t94)) % 205.31/205.54 (step @p179 :rule trans :premises (@p141 @p178 @p174 @p173 @p170 @p169)) % 205.31/205.54 (step @p180 :rule cong :premises (@p164 @p179) :args ((tptp.cP @t54 tptp.cE))) % 205.31/205.54 (step @p181 :rule symm :premises (@p129)) % 205.31/205.54 (step @p182 :rule symm :premises (@p128)) % 205.31/205.54 (step @p183 :rule refl :args (@t51)) % 205.31/205.54 (step @p184 :rule symm :premises (@p127)) % 205.31/205.54 (step @p185 :rule cong :premises (@p184 @p183) :args (@t85)) % 205.31/205.54 (step @p186 :rule trans :premises (@p185 @p182)) % 205.31/205.54 (step @p187 :rule refl :args (@t56)) % 205.31/205.54 (step @p188 :rule cong :premises (@p187 @p186) :args (@t86)) % 205.31/205.54 (step @p189 :rule refl :args (@t49)) % 205.31/205.54 (step @p190 :rule cong :premises (@p129 @p189) :args (@t63)) % 205.31/205.54 (step @p191 :rule trans :premises (@p124 @p190 @p136)) % 205.31/205.54 (step @p192 :rule cong :premises (@p191 @p183) :args (@t98)) % 205.31/205.54 (step @p193 :rule trans :premises (@p192 @p137 @p188 @p181)) % 205.31/205.54 (step @p194 :rule cong :premises (@p164 @p193) :args (@t99)) % 205.31/205.54 (step @p195 :rule refl :args (@t48)) % 205.31/205.54 (step @p196 :rule trans :premises (@p184 @p126)) % 205.31/205.54 (step @p197 :rule cong :premises (@p196 @p195) :args (@t74)) % 205.31/205.54 (step @p198 :rule symm :premises (@p130)) % 205.31/205.54 (step @p199 :rule trans :premises (@p198 @p127)) % 205.31/205.54 (step @p200 :rule cong :premises (@p199 @p195) :args ((tptp.cP @t71 @t48))) % 205.31/205.54 (step @p201 :rule cong :premises (@p130 @p195) :args (@t76)) % 205.31/205.54 (step @p202 :rule trans :premises (@p133 @p201 @p200 @p197 @p134)) % 205.31/205.54 (step @p203 :rule symm :premises (@p133)) % 205.31/205.54 (step @p204 :rule symm :premises (@p201)) % 205.31/205.54 (step @p205 :rule symm :premises (@p200)) % 205.31/205.54 (step @p206 :rule symm :premises (@p132)) % 205.31/205.54 (step @p207 :rule trans :premises (@p206 @p205 @p204 @p203)) % 205.31/205.54 (step @p208 :rule trans :premises (@p207 @p202)) % 205.31/205.54 (step @p209 :rule cong :premises (@p208 @p183) :args ((tptp.cP @t73 @t51))) % 205.31/205.54 (step @p210 :rule symm :premises (@p207)) % 205.31/205.54 (step @p211 :rule cong :premises (@p210 @p183) :args (@t80)) % 205.31/205.54 (step @p212 :rule trans :premises (@p211 @p209 @p143 @p194 @p180 @p167 @p166 @p163)) % 205.31/205.54 (step @p213 :rule refl :args (@t55)) % 205.31/205.54 (step @p214 :rule cong :premises (@p213 @p212) :args (@t81)) % 205.31/205.54 (step @p215 :rule symm :premises (@p199)) % 205.31/205.54 (step @p216 :rule cong :premises (@p215 @p183) :args (@t85)) % 205.31/205.54 (step @p217 :rule symm :premises (@p185)) % 205.31/205.54 (step @p218 :rule trans :premises (@p128 @p217 @p216 @p135 @p214)) % 205.31/205.54 (step-pop @p263 :rule scope :premises (@p218)) % 205.31/205.54 (step-pop @p264 :rule scope :premises (@p263)) % 205.31/205.54 (step-pop @p265 :rule scope :premises (@p264)) % 205.31/205.54 (step-pop @p266 :rule scope :premises (@p265)) % 205.31/205.54 (step-pop @p267 :rule scope :premises (@p266)) % 205.31/205.54 (step-pop @p268 :rule scope :premises (@p267)) % 205.31/205.54 (step-pop @p269 :rule scope :premises (@p268)) % 205.31/205.54 (step-pop @p270 :rule scope :premises (@p269)) % 205.31/205.54 (step-pop @p271 :rule scope :premises (@p270)) % 205.31/205.54 (step-pop @p272 :rule scope :premises (@p271)) % 205.31/205.54 (step-pop @p273 :rule scope :premises (@p272)) % 205.31/205.54 (step-pop @p274 :rule scope :premises (@p273)) % 205.31/205.54 (step-pop @p275 :rule scope :premises (@p274)) % 205.31/205.54 (step-pop @p276 :rule scope :premises (@p275)) % 205.31/205.54 (step-pop @p277 :rule scope :premises (@p276)) % 205.31/205.54 (step-pop @p278 :rule scope :premises (@p277)) % 205.31/205.54 (step-pop @p279 :rule scope :premises (@p278)) % 205.31/205.54 (step-pop @p280 :rule scope :premises (@p279)) % 205.31/205.54 (step-pop @p281 :rule scope :premises (@p280)) % 205.31/205.54 (step @p219 :rule process_scope :premises (@p281) :args (@t101)) % 205.31/205.54 (step @p239 :rule implies_elim :premises (@p219)) % 205.31/205.54 (step @p240 :rule cnf_and_neg :args (@t102)) % 205.31/205.54 (step @p241 :rule resolution :premises (@p240 @p239) :args (true @t102)) % 205.31/205.54 (step @p242 :rule reordering :premises (@p241) :args ((or @t101 (not @t62) (not @t64) (not @t66) (not @t67) (not @t68) (not @t70) (not @t72) (not @t75) (not @t77) (not @t79) (not @t82) (not @t84) (not @t87) (not @t90) (not @t92) (not @t93) (not @t95) (not @t97) (not @t100)))) % 205.31/205.54 (step @p243 false :rule chain_m_resolution :premises (@p242 @p143 @p142 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134 @p133 @p132 @p130 @p129 @p128 @p127 @p126 @p124 @p123 @p120) :args (false (@list false false false false false false false false false false false false false false false false false false false true) (@list @t100 @t97 @t95 @t93 @t92 @t90 @t87 @t84 @t82 @t79 @t77 @t75 @t72 @t70 @t68 @t67 @t66 @t64 @t62 @t101))) % 205.31/205.54 ) % 205.31/205.54 % SZS output end Proof % 205.31/205.54 % cvc5 exiting %------------------------------------------------------------------------------