%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT003-4 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:09:22 AM UTC 2026 % Result : Unsatisfiable 2.03s 2.24s % Output : Proof 2.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.14 % Problem : CAT003-4 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.20/0.37 % Computer : n006.cluster.edu % 0.20/0.37 % Model : x86_64 x86_64 % 0.20/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.20/0.37 % Memory : 8042.1875MB % 0.20/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.20/0.37 % CPULimit : 300 % 0.20/0.37 % WCLimit : 300 % 0.20/0.37 % DateTime : Wed Jun 3 02:53:19 EDT 2026 % 0.20/0.37 % CPUTime : % 0.32/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.03/2.24 % SZS status Unsatisfiable % 2.03/2.24 % SZS output start Proof % 2.03/2.24 ( % 2.03/2.24 (declare-sort $$unsorted 0) % 2.03/2.24 (declare-const tptp.g $$unsorted) % 2.03/2.24 (declare-const tptp.b $$unsorted) % 2.03/2.24 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 2.03/2.24 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 2.03/2.24 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 2.03/2.24 (declare-const tptp.h $$unsorted) % 2.03/2.24 (declare-const tptp.a $$unsorted) % 2.03/2.24 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 2.03/2.24 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 2.03/2.24 (define @t1 () (@var "X" $$unsorted)) % 2.03/2.24 (define @t2 () (tptp.there_exists @t1)) % 2.03/2.24 (define @t3 () (@var "Y" $$unsorted)) % 2.03/2.24 (define @t4 () (tptp.equivalent @t1 @t3)) % 2.03/2.24 (define @t5 () (not @t4)) % 2.03/2.24 (define @t6 () (@list @t1 @t3)) % 2.03/2.24 (define @t7 () (= @t1 @t3)) % 2.03/2.24 (define @t8 () (tptp.domain @t1)) % 2.03/2.24 (define @t9 () (tptp.there_exists @t8)) % 2.03/2.24 (define @t10 () (not @t9)) % 2.03/2.24 (define @t11 () (@list @t1)) % 2.03/2.24 (define @t12 () (tptp.codomain @t1)) % 2.03/2.24 (define @t13 () (tptp.compose @t1 @t3)) % 2.03/2.24 (define @t14 () (tptp.there_exists @t13)) % 2.03/2.24 (define @t15 () (not @t14)) % 2.03/2.24 (define @t16 () (= @t8 (tptp.codomain @t3))) % 2.03/2.24 (define @t17 () (forall @t6 (or @t15 @t16))) % 2.03/2.24 (define @t18 () (@var "Z" $$unsorted)) % 2.03/2.24 (define @t19 () (@list @t1 @t3 @t18)) % 2.03/2.24 (define @t20 () (forall @t19 (= (tptp.compose @t1 (tptp.compose @t3 @t18)) (tptp.compose @t13 @t18)))) % 2.03/2.24 (define @t21 () (tptp.compose @t1 @t8)) % 2.03/2.24 (define @t22 () (forall @t11 (= @t21 @t1))) % 2.03/2.24 (define @t23 () (tptp.compose @t12 @t1)) % 2.03/2.24 (define @t24 () (forall @t11 (= @t23 @t1))) % 2.03/2.24 (define @t25 () (tptp.compose tptp.a tptp.b)) % 2.03/2.24 (define @t26 () (tptp.there_exists @t25)) % 2.03/2.24 (define @t27 () (= @t1 @t18)) % 2.03/2.24 (define @t28 () (tptp.compose @t18 @t25)) % 2.03/2.24 (define @t29 () (not (= @t28 @t3))) % 2.03/2.24 (define @t30 () (tptp.compose @t1 @t25)) % 2.03/2.24 (define @t31 () (not (= @t30 @t3))) % 2.03/2.24 (define @t32 () (or @t31 @t29 @t27)) % 2.03/2.24 (define @t33 () (forall @t19 @t32)) % 2.03/2.24 (define @t34 () (tptp.domain tptp.g)) % 2.03/2.24 (define @t35 () (tptp.codomain tptp.a)) % 2.03/2.24 (define @t36 () (tptp.domain @t35)) % 2.03/2.24 (define @t37 () (tptp.compose @t35 tptp.a)) % 2.03/2.24 (define @t38 () (tptp.there_exists @t37)) % 2.03/2.24 (define @t39 () (not @t38)) % 2.03/2.24 (define @t40 () (or @t39 (= @t36 @t35))) % 2.03/2.24 (define @t41 () (@list @t35 tptp.a)) % 2.03/2.24 (define @t42 () (= @t35 @t36)) % 2.03/2.24 (define @t43 () (or @t39 @t42)) % 2.03/2.24 (define @t44 () (@list false)) % 2.03/2.24 (define @t45 () (@list tptp.a)) % 2.03/2.24 (define @t46 () (tptp.there_exists (tptp.domain tptp.a))) % 2.03/2.24 (define @t47 () (not @t26)) % 2.03/2.24 (define @t48 () (or @t47 @t46)) % 2.03/2.24 (define @t49 () (@list false false)) % 2.03/2.24 (define @t50 () (tptp.there_exists tptp.a)) % 2.03/2.24 (define @t51 () (not @t46)) % 2.03/2.24 (define @t52 () (or @t51 @t50)) % 2.03/2.24 (define @t53 () (tptp.compose @t34 @t34)) % 2.03/2.24 (define @t54 () (@list @t34)) % 2.03/2.24 (define @t55 () (tptp.there_exists @t36)) % 2.03/2.24 (define @t56 () (or @t39 @t55)) % 2.03/2.24 (define @t57 () (tptp.compose @t35 @t35)) % 2.03/2.24 (define @t58 () (tptp.there_exists @t57)) % 2.03/2.24 (define @t59 () (tptp.codomain @t35)) % 2.03/2.24 (define @t60 () (= @t36 @t59)) % 2.03/2.24 (define @t61 () (not @t58)) % 2.03/2.24 (define @t62 () (or @t61 @t60)) % 2.03/2.24 (define @t63 () (tptp.codomain @t34)) % 2.03/2.24 (define @t64 () (tptp.compose @t34 @t53)) % 2.03/2.24 (define @t65 () (tptp.compose @t34 @t64)) % 2.03/2.24 (define @t66 () (tptp.compose @t53 @t53)) % 2.03/2.24 (define @t67 () (= @t65 @t66)) % 2.03/2.24 (define @t68 () (@list @t34 @t34 @t53)) % 2.03/2.24 (define @t69 () (= @t66 @t65)) % 2.03/2.24 (define @t70 () (tptp.compose @t53 @t34)) % 2.03/2.24 (define @t71 () (tptp.domain @t34)) % 2.03/2.24 (define @t72 () (tptp.compose @t66 @t70)) % 2.03/2.24 (define @t73 () (tptp.compose @t71 @t64)) % 2.03/2.24 (define @t74 () (tptp.compose @t72 @t63)) % 2.03/2.24 (define @t75 () (tptp.compose @t74 @t53)) % 2.03/2.24 (define @t76 () (not (= @t30 @t28))) % 2.03/2.24 (define @t77 () (or @t76 @t27)) % 2.03/2.24 (define @t78 () (not (= @t30 @t30))) % 2.03/2.24 (define @t79 () (or @t78 @t76 @t27)) % 2.03/2.24 (define @t80 () (@list @t1 @t18)) % 2.03/2.24 (define @t81 () (not (= @t3 @t28))) % 2.03/2.24 (define @t82 () (not (= @t3 @t30))) % 2.03/2.24 (define @t83 () (or @t82 @t82 @t81 @t27)) % 2.03/2.24 (define @t84 () (@list @t3)) % 2.03/2.24 (define @t85 () (or @t82 @t81 @t27)) % 2.03/2.24 (define @t86 () (forall @t84 @t85)) % 2.03/2.24 (define @t87 () (forall @t80 @t86)) % 2.03/2.24 (define @t88 () (forall (@list @t1 @t18 @t3) @t85)) % 2.03/2.24 (define @t89 () (tptp.compose tptp.g @t35)) % 2.03/2.24 (define @t90 () (= (tptp.compose @t89 @t25) (tptp.compose tptp.h @t25))) % 2.03/2.24 (define @t91 () (not @t90)) % 2.03/2.24 (define @t92 () (or @t91 (= @t89 tptp.h))) % 2.03/2.24 (define @t93 () (forall @t80 @t77)) % 2.03/2.24 (define @t94 () (= tptp.h @t89)) % 2.03/2.24 (define @t95 () (or @t91 @t94)) % 2.03/2.24 (define @t96 () (tptp.there_exists @t89)) % 2.03/2.24 (define @t97 () (= @t34 @t59)) % 2.03/2.24 (define @t98 () (not @t96)) % 2.03/2.24 (define @t99 () (or @t98 @t97)) % 2.03/2.24 (define @t100 () (tptp.compose tptp.g @t34)) % 2.03/2.24 (define @t101 () (= tptp.g @t100)) % 2.03/2.24 (define @t102 () (tptp.compose @t100 @t34)) % 2.03/2.24 (define @t103 () (tptp.compose tptp.g @t53)) % 2.03/2.24 (define @t104 () (= @t103 @t102)) % 2.03/2.24 (define @t105 () (tptp.compose @t103 @t34)) % 2.03/2.24 (define @t106 () (= (tptp.compose tptp.g @t70) @t105)) % 2.03/2.24 (define @t107 () (tptp.compose @t103 @t53)) % 2.03/2.24 (define @t108 () (tptp.compose tptp.g @t66)) % 2.03/2.24 (define @t109 () (= @t108 @t107)) % 2.03/2.24 (define @t110 () (tptp.compose @t63 @t34)) % 2.03/2.24 (define @t111 () (= @t34 @t110)) % 2.03/2.24 (define @t112 () (tptp.compose @t110 @t34)) % 2.03/2.24 (define @t113 () (tptp.compose @t63 @t53)) % 2.03/2.24 (define @t114 () (= @t113 @t112)) % 2.03/2.24 (define @t115 () (tptp.compose @t108 @t70)) % 2.03/2.24 (define @t116 () (tptp.compose tptp.g @t72)) % 2.03/2.24 (define @t117 () (= @t116 @t115)) % 2.03/2.24 (define @t118 () (tptp.compose @t34 @t71)) % 2.03/2.24 (define @t119 () (= @t34 @t118)) % 2.03/2.24 (define @t120 () (tptp.compose tptp.g @t113)) % 2.03/2.24 (define @t121 () (= @t120 (tptp.compose (tptp.compose tptp.g @t63) @t53))) % 2.03/2.24 (define @t122 () (tptp.compose @t118 @t64)) % 2.03/2.24 (define @t123 () (tptp.compose @t34 @t73)) % 2.03/2.24 (define @t124 () (= @t123 @t122)) % 2.03/2.24 (define @t125 () (tptp.compose @t116 @t63)) % 2.03/2.24 (define @t126 () (tptp.compose tptp.g @t74)) % 2.03/2.24 (define @t127 () (= @t126 @t125)) % 2.03/2.24 (define @t128 () (tptp.compose tptp.g @t123)) % 2.03/2.24 (define @t129 () (= @t128 (tptp.compose @t100 @t73))) % 2.03/2.24 (define @t130 () (tptp.compose @t126 @t53)) % 2.03/2.24 (define @t131 () (tptp.compose tptp.g @t75)) % 2.03/2.24 (define @t132 () (= @t131 @t130)) % 2.03/2.24 (define @t133 () (tptp.compose @t131 @t73)) % 2.03/2.24 (define @t134 () (tptp.compose tptp.g (tptp.compose @t75 @t73))) % 2.03/2.24 (define @t135 () (= @t134 @t133)) % 2.03/2.24 (define @t136 () (= tptp.h tptp.g)) % 2.03/2.24 (define @t137 () (and @t101 @t42 @t104 @t97 @t60 @t106 @t109 @t111 @t114 @t69 @t117 @t119 @t121 @t124 @t127 @t129 @t132 @t135 @t94)) % 2.03/2.24 (assume @p1 (forall @t6 (or @t5 @t2))) % 2.03/2.24 (assume @p2 (forall @t6 (or @t5 @t7))) % 2.03/2.24 (assume @p3 (forall @t6 (or (not @t2) (not @t7) @t4))) % 2.03/2.24 (assume @p4 (forall @t11 (or @t10 @t2))) % 2.03/2.24 (assume @p5 (forall @t11 (or (not (tptp.there_exists @t12)) @t2))) % 2.03/2.24 (assume @p6 (forall @t6 (or @t15 @t9))) % 2.03/2.24 (assume @p7 @t17) % 2.03/2.24 (assume @p8 (forall @t6 (or @t10 (not @t16) @t14))) % 2.03/2.24 (assume @p9 @t20) % 2.03/2.24 (assume @p10 @t22) % 2.03/2.24 (assume @p11 @t24) % 2.03/2.24 (assume @p12 @t26) % 2.03/2.24 (assume @p13 @t33) % 2.03/2.24 (assume @p14 (tptp.there_exists tptp.h)) % 2.03/2.24 (assume @p15 (= (tptp.compose tptp.h tptp.a) (tptp.compose tptp.g tptp.a))) % 2.03/2.24 (assume @p16 (not (= tptp.g tptp.h))) % 2.03/2.24 (step @p17 :rule symm :premises (@p16)) % 2.03/2.24 (step @p18 :rule eq-symm :args (@t21 @t1)) % 2.03/2.24 (step @p19 :rule cong :premises (@p18) :args (@t22)) % 2.03/2.24 (step @p20 :rule eq_resolve :premises (@p10 @p19)) % 2.03/2.24 (step @p21 :rule instantiate :premises (@p20) :args ((@list tptp.g))) % 2.03/2.24 (step @p22 :rule instantiate :premises (@p9) :args ((@list tptp.g @t34 @t34))) % 2.03/2.24 (step @p23 :rule eq-symm :args (@t36 @t35)) % 2.03/2.24 (step @p24 :rule refl :args (@t39)) % 2.03/2.24 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t40)) % 2.03/2.24 (step @p26 :rule refl :args (@t17)) % 2.03/2.24 (step @p27 :rule cong :premises (@p26 @p25) :args ((=> @t17 @t40))) % 2.03/2.24 (assume-push @p242 @t17) % 2.03/2.24 (step @p29 :rule instantiate :premises (@p7) :args (@t41)) % 2.03/2.24 (step-pop @p243 :rule scope :premises (@p29)) % 2.03/2.24 (step @p30 :rule process_scope :premises (@p243) :args (@t40)) % 2.03/2.24 (step @p32 :rule eq_resolve :premises (@p30 @p27)) % 2.03/2.24 (step @p33 :rule implies_elim :premises (@p32)) % 2.03/2.24 (step @p34 :rule chain_m_resolution :premises (@p33 @p7) :args (@t43 @t44 (@list @t17))) % 2.03/2.24 (step @p35 :rule instantiate :premises (@p4) :args (@t45)) % 2.03/2.24 (step @p36 :rule instantiate :premises (@p6) :args ((@list tptp.a tptp.b))) % 2.03/2.24 (step @p37 :rule cnf_or_pos :args (@t48)) % 2.03/2.24 (step @p38 :rule reordering :premises (@p37) :args ((or @t47 @t46 (not @t48)))) % 2.03/2.24 (step @p39 :rule chain_m_resolution :premises (@p38 @p12 @p36) :args (@t46 @t49 (@list @t26 @t48))) % 2.03/2.24 (step @p40 :rule cnf_or_pos :args (@t52)) % 2.03/2.24 (step @p41 :rule reordering :premises (@p40) :args ((or @t51 @t50 (not @t52)))) % 2.03/2.24 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p35) :args (@t50 @t49 (@list @t46 @t52))) % 2.03/2.24 (step @p43 :rule true_intro :premises (@p42)) % 2.03/2.24 (step @p44 :rule eq-symm :args (@t23 @t1)) % 2.03/2.24 (step @p45 :rule cong :premises (@p44) :args (@t24)) % 2.03/2.24 (step @p46 :rule eq_resolve :premises (@p11 @p45)) % 2.03/2.24 (step @p47 :rule instantiate :premises (@p46) :args (@t45)) % 2.03/2.24 (step @p48 :rule symm :premises (@p47)) % 2.03/2.24 (step @p49 :rule cong :premises (@p48) :args (@t38)) % 2.03/2.24 (step @p50 :rule trans :premises (@p49 @p43)) % 2.03/2.24 (step @p51 :rule true_elim :premises (@p50)) % 2.03/2.24 (step @p52 :rule cnf_or_pos :args (@t43)) % 2.03/2.24 (step @p53 :rule reordering :premises (@p52) :args ((or @t39 @t42 (not @t43)))) % 2.03/2.24 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p34) :args (@t42 @t49 (@list @t38 @t43))) % 2.03/2.24 (step @p55 :rule instantiate :premises (@p9) :args ((@list tptp.g @t53 @t34))) % 2.03/2.24 (step @p56 :rule instantiate :premises (@p9) :args ((@list tptp.g @t53 @t53))) % 2.03/2.24 (step @p57 :rule instantiate :premises (@p46) :args (@t54)) % 2.03/2.24 (step @p58 :rule instantiate :premises (@p7) :args ((@list @t35 @t35))) % 2.03/2.24 (step @p59 :rule instantiate :premises (@p6) :args (@t41)) % 2.03/2.24 (step @p60 :rule cnf_or_pos :args (@t56)) % 2.03/2.24 (step @p61 :rule reordering :premises (@p60) :args ((or @t39 @t55 (not @t56)))) % 2.03/2.24 (step @p62 :rule chain_m_resolution :premises (@p61 @p51 @p59) :args (@t55 @t49 (@list @t38 @t56))) % 2.03/2.24 (step @p63 :rule true_intro :premises (@p62)) % 2.03/2.24 (step @p64 :rule cong :premises (@p54) :args ((tptp.there_exists @t35))) % 2.03/2.24 (step @p65 :rule instantiate :premises (@p20) :args ((@list @t35))) % 2.03/2.24 (step @p66 :rule symm :premises (@p65)) % 2.03/2.24 (step @p67 :rule refl :args (@t35)) % 2.03/2.24 (step @p68 :rule cong :premises (@p67 @p54) :args (@t57)) % 2.03/2.24 (step @p69 :rule trans :premises (@p68 @p66)) % 2.03/2.24 (step @p70 :rule cong :premises (@p69) :args (@t58)) % 2.03/2.24 (step @p71 :rule trans :premises (@p70 @p64 @p63)) % 2.03/2.24 (step @p72 :rule true_elim :premises (@p71)) % 2.03/2.24 (step @p73 :rule cnf_or_pos :args (@t62)) % 2.03/2.24 (step @p74 :rule reordering :premises (@p73) :args ((or @t61 @t60 (not @t62)))) % 2.03/2.24 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p58) :args (@t60 @t49 (@list @t58 @t62))) % 2.03/2.24 (step @p76 :rule instantiate :premises (@p9) :args ((@list @t63 @t34 @t34))) % 2.03/2.24 (step @p77 :rule eq-symm :args (@t65 @t66)) % 2.03/2.24 (step @p78 :rule refl :args (@t20)) % 2.03/2.24 (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t20 @t67))) % 2.03/2.24 (assume-push @p244 @t20) % 2.03/2.24 (step @p81 :rule instantiate :premises (@p9) :args (@t68)) % 2.03/2.24 (step-pop @p245 :rule scope :premises (@p81)) % 2.03/2.24 (step @p82 :rule process_scope :premises (@p245) :args (@t67)) % 2.03/2.24 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 2.03/2.24 (step @p85 :rule implies_elim :premises (@p84)) % 2.03/2.24 (step @p86 :rule chain_m_resolution :premises (@p85 @p9) :args (@t69 @t44 (@list @t20))) % 2.03/2.24 (step @p87 :rule instantiate :premises (@p9) :args ((@list tptp.g @t66 @t70))) % 2.03/2.24 (step @p88 :rule instantiate :premises (@p20) :args (@t54)) % 2.03/2.24 (step @p89 :rule instantiate :premises (@p9) :args ((@list tptp.g @t63 @t53))) % 2.03/2.24 (step @p90 :rule instantiate :premises (@p9) :args ((@list @t34 @t71 @t64))) % 2.03/2.24 (step @p91 :rule instantiate :premises (@p9) :args ((@list tptp.g @t72 @t63))) % 2.03/2.24 (step @p92 :rule instantiate :premises (@p9) :args ((@list tptp.g @t34 @t73))) % 2.03/2.24 (step @p93 :rule instantiate :premises (@p9) :args ((@list tptp.g @t74 @t53))) % 2.03/2.24 (step @p94 :rule instantiate :premises (@p9) :args ((@list tptp.g @t75 @t73))) % 2.03/2.24 (step @p95 :rule aci_norm :args ((= (or false @t76 @t27) @t77))) % 2.03/2.24 (step @p96 :rule refl :args (@t27)) % 2.03/2.24 (step @p97 :rule refl :args (@t76)) % 2.03/2.24 (step @p98 :rule evaluate :args ((not true))) % 2.03/2.24 (step @p99 :rule eq-refl :args (@t30)) % 2.03/2.24 (step @p100 :rule cong :premises (@p99) :args (@t78)) % 2.03/2.24 (step @p101 :rule trans :premises (@p100 @p98)) % 2.03/2.24 (step @p102 :rule nary_cong :premises (@p101 @p97 @p96) :args (@t79)) % 2.03/2.24 (step @p103 :rule trans :premises (@p102 @p95)) % 2.03/2.24 (step @p104 :rule cong :premises (@p103) :args ((forall @t80 @t79))) % 2.03/2.24 (step @p105 :rule quant-var-elim-eq :args ((= (forall @t84 @t83) @t79))) % 2.03/2.24 (step @p106 :rule aci_norm :args ((= @t85 @t83))) % 2.03/2.24 (step @p107 :rule cong :premises (@p106) :args (@t86)) % 2.03/2.24 (step @p108 :rule trans :premises (@p107 @p105)) % 2.03/2.24 (step @p109 :rule cong :premises (@p108) :args (@t87)) % 2.03/2.24 (step @p110 :rule quant-merge-prenex :args ((= @t87 @t88))) % 2.03/2.24 (step @p111 :rule symm :premises (@p110)) % 2.03/2.24 (step @p112 :rule quant_var_reordering :args ((= (forall @t19 @t85) @t88))) % 2.03/2.24 (step @p113 :rule trans :premises (@p112 @p111 @p109)) % 2.03/2.24 (step @p114 :rule trans :premises (@p113 @p104)) % 2.03/2.24 (step @p115 :rule eq-symm :args (@t28 @t3)) % 2.03/2.24 (step @p116 :rule cong :premises (@p115) :args (@t29)) % 2.03/2.24 (step @p117 :rule eq-symm :args (@t30 @t3)) % 2.03/2.24 (step @p118 :rule cong :premises (@p117) :args (@t31)) % 2.03/2.24 (step @p119 :rule nary_cong :premises (@p118 @p116 @p96) :args (@t32)) % 2.03/2.24 (step @p120 :rule cong :premises (@p119) :args (@t33)) % 2.03/2.24 (step @p121 :rule trans :premises (@p120 @p114)) % 2.03/2.24 (step @p122 :rule eq_resolve :premises (@p13 @p121)) % 2.03/2.24 (step @p123 :rule eq-symm :args (@t89 tptp.h)) % 2.03/2.24 (step @p124 :rule refl :args (@t91)) % 2.03/2.24 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t92)) % 2.03/2.24 (step @p126 :rule refl :args (@t93)) % 2.03/2.24 (step @p127 :rule cong :premises (@p126 @p125) :args ((=> @t93 @t92))) % 2.03/2.24 (assume-push @p246 @t93) % 2.03/2.24 (step @p129 :rule instantiate :premises (@p122) :args ((@list @t89 tptp.h))) % 2.03/2.24 (step-pop @p247 :rule scope :premises (@p129)) % 2.03/2.24 (step @p130 :rule process_scope :premises (@p247) :args (@t92)) % 2.03/2.24 (step @p132 :rule eq_resolve :premises (@p130 @p127)) % 2.03/2.24 (step @p133 :rule implies_elim :premises (@p132)) % 2.03/2.24 (step @p134 :rule chain_m_resolution :premises (@p133 @p122) :args (@t95 @t44 (@list @t93))) % 2.03/2.24 (step @p135 :rule instantiate :premises (@p9) :args ((@list tptp.h tptp.a tptp.b))) % 2.03/2.24 (step @p136 :rule symm :premises (@p135)) % 2.03/2.24 (step @p137 :rule refl :args (tptp.b)) % 2.03/2.24 (step @p138 :rule symm :premises (@p15)) % 2.03/2.24 (step @p139 :rule refl :args (tptp.g)) % 2.03/2.24 (step @p140 :rule cong :premises (@p139 @p48) :args ((tptp.compose tptp.g @t37))) % 2.03/2.24 (step @p141 :rule instantiate :premises (@p9) :args ((@list tptp.g @t35 tptp.a))) % 2.03/2.24 (step @p142 :rule symm :premises (@p141)) % 2.03/2.24 (step @p143 :rule trans :premises (@p142 @p140 @p138)) % 2.03/2.24 (step @p144 :rule cong :premises (@p143 @p137) :args ((tptp.compose (tptp.compose @t89 tptp.a) tptp.b))) % 2.03/2.24 (step @p145 :rule instantiate :premises (@p9) :args ((@list @t89 tptp.a tptp.b))) % 2.03/2.24 (step @p146 :rule trans :premises (@p145 @p144 @p136)) % 2.03/2.24 (step @p147 :rule cnf_or_pos :args (@t95)) % 2.03/2.24 (step @p148 :rule reordering :premises (@p147) :args ((or @t91 @t94 (not @t95)))) % 2.03/2.24 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p134) :args (@t94 @t49 (@list @t90 @t95))) % 2.03/2.24 (step @p150 :rule instantiate :premises (@p7) :args ((@list tptp.g @t35))) % 2.03/2.24 (step @p151 :rule true_intro :premises (@p14)) % 2.03/2.24 (step @p152 :rule symm :premises (@p149)) % 2.03/2.24 (step @p153 :rule cong :premises (@p152) :args (@t96)) % 2.03/2.24 (step @p154 :rule trans :premises (@p153 @p151)) % 2.03/2.24 (step @p155 :rule true_elim :premises (@p154)) % 2.03/2.24 (step @p156 :rule cnf_or_pos :args (@t99)) % 2.03/2.24 (step @p157 :rule reordering :premises (@p156) :args ((or @t98 @t97 (not @t99)))) % 2.03/2.24 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p150) :args (@t97 @t49 (@list @t96 @t99))) % 2.03/2.24 (assume-push @p248 @t101) % 2.03/2.24 (assume-push @p249 @t42) % 2.03/2.24 (assume-push @p250 @t104) % 2.03/2.24 (assume-push @p251 @t97) % 2.03/2.24 (assume-push @p252 @t60) % 2.03/2.24 (assume-push @p253 @t106) % 2.03/2.24 (assume-push @p254 @t109) % 2.03/2.24 (assume-push @p255 @t111) % 2.03/2.24 (assume-push @p256 @t114) % 2.03/2.24 (assume-push @p257 @t69) % 2.03/2.24 (assume-push @p258 @t117) % 2.03/2.24 (assume-push @p259 @t119) % 2.03/2.24 (assume-push @p260 @t121) % 2.03/2.24 (assume-push @p261 @t124) % 2.03/2.24 (assume-push @p262 @t127) % 2.03/2.24 (assume-push @p263 @t129) % 2.03/2.24 (assume-push @p264 @t132) % 2.03/2.24 (assume-push @p265 @t135) % 2.03/2.24 (assume-push @p266 @t94) % 2.03/2.24 (step @p178 :rule symm :premises (@p21)) % 2.03/2.24 (step @p179 :rule symm :premises (@p158)) % 2.03/2.24 (step @p180 :rule trans :premises (@p54 @p75 @p179)) % 2.03/2.24 (step @p181 :rule refl :args (@t34)) % 2.03/2.24 (step @p182 :rule cong :premises (@p178 @p181) :args (@t102)) % 2.03/2.24 (step @p183 :rule refl :args (@t53)) % 2.03/2.24 (step @p184 :rule trans :premises (@p22 @p182 @p178)) % 2.03/2.24 (step @p185 :rule cong :premises (@p184 @p183) :args (@t107)) % 2.03/2.24 (step @p81 :rule instantiate :premises (@p9) :args (@t68)) % 2.03/2.24 (step @p186 :rule refl :args (@t64)) % 2.03/2.24 (step @p187 :rule symm :premises (@p88)) % 2.03/2.24 (step @p188 :rule cong :premises (@p187 @p186) :args (@t122)) % 2.03/2.24 (step @p189 :rule trans :premises (@p90 @p188 @p81)) % 2.03/2.24 (step @p190 :rule cong :premises (@p139 @p189) :args (@t128)) % 2.03/2.24 (step @p191 :rule symm :premises (@p92)) % 2.03/2.24 (step @p192 :rule refl :args (@t73)) % 2.03/2.24 (step @p193 :rule trans :premises (@p56 @p185 @p22 @p182 @p178)) % 2.03/2.24 (step @p194 :rule cong :premises (@p193 @p183) :args ((tptp.compose @t108 @t53))) % 2.03/2.24 (step @p195 :rule symm :premises (@p57)) % 2.03/2.24 (step @p196 :rule cong :premises (@p195 @p181) :args (@t112)) % 2.03/2.24 (step @p197 :rule trans :premises (@p76 @p196)) % 2.03/2.24 (step @p198 :rule symm :premises (@p193)) % 2.03/2.24 (step @p199 :rule cong :premises (@p198 @p197) :args (@t120)) % 2.03/2.24 (step @p200 :rule symm :premises (@p89)) % 2.03/2.24 (step @p201 :rule refl :args (@t63)) % 2.03/2.24 (step @p202 :rule cong :premises (@p184 @p181) :args (@t105)) % 2.03/2.24 (step @p203 :rule refl :args (@t70)) % 2.03/2.24 (step @p204 :rule cong :premises (@p193 @p203) :args (@t115)) % 2.03/2.24 (step @p205 :rule trans :premises (@p87 @p204 @p55 @p202 @p178)) % 2.03/2.24 (step @p206 :rule cong :premises (@p205 @p201) :args (@t125)) % 2.03/2.24 (step @p207 :rule trans :premises (@p91 @p206)) % 2.03/2.24 (step @p208 :rule cong :premises (@p207 @p183) :args (@t130)) % 2.03/2.24 (step @p209 :rule trans :premises (@p93 @p208 @p200 @p199 @p194 @p22 @p182 @p178)) % 2.03/2.24 (step @p210 :rule trans :premises (@p209 @p21)) % 2.03/2.24 (step @p211 :rule cong :premises (@p210 @p192) :args (@t133)) % 2.03/2.24 (step @p212 :rule trans :premises (@p94 @p211 @p191 @p190 @p56 @p185 @p22 @p182 @p178)) % 2.03/2.24 (step @p213 :rule cong :premises (@p212 @p180) :args ((tptp.compose @t134 @t35))) % 2.03/2.24 (step @p214 :rule symm :premises (@p212)) % 2.03/2.24 (step @p215 :rule cong :premises (@p214 @p67) :args (@t89)) % 2.03/2.24 (step @p216 :rule trans :premises (@p149 @p215 @p213 @p178)) % 2.03/2.24 (step-pop @p267 :rule scope :premises (@p216)) % 2.03/2.24 (step-pop @p268 :rule scope :premises (@p267)) % 2.03/2.24 (step-pop @p269 :rule scope :premises (@p268)) % 2.03/2.24 (step-pop @p270 :rule scope :premises (@p269)) % 2.03/2.24 (step-pop @p271 :rule scope :premises (@p270)) % 2.03/2.24 (step-pop @p272 :rule scope :premises (@p271)) % 2.03/2.24 (step-pop @p273 :rule scope :premises (@p272)) % 2.03/2.24 (step-pop @p274 :rule scope :premises (@p273)) % 2.03/2.24 (step-pop @p275 :rule scope :premises (@p274)) % 2.03/2.24 (step-pop @p276 :rule scope :premises (@p275)) % 2.03/2.24 (step-pop @p277 :rule scope :premises (@p276)) % 2.03/2.24 (step-pop @p278 :rule scope :premises (@p277)) % 2.03/2.24 (step-pop @p279 :rule scope :premises (@p278)) % 2.03/2.24 (step-pop @p280 :rule scope :premises (@p279)) % 2.03/2.24 (step-pop @p281 :rule scope :premises (@p280)) % 2.03/2.24 (step-pop @p282 :rule scope :premises (@p281)) % 2.03/2.24 (step-pop @p283 :rule scope :premises (@p282)) % 2.03/2.24 (step-pop @p284 :rule scope :premises (@p283)) % 2.03/2.24 (step-pop @p285 :rule scope :premises (@p284)) % 2.03/2.24 (step @p217 :rule process_scope :premises (@p285) :args (@t136)) % 2.03/2.24 (step @p237 :rule implies_elim :premises (@p217)) % 2.03/2.24 (step @p238 :rule cnf_and_neg :args (@t137)) % 2.03/2.24 (step @p239 :rule resolution :premises (@p238 @p237) :args (true @t137)) % 2.03/2.24 (step @p240 :rule reordering :premises (@p239) :args ((or @t136 (not @t101) (not @t42) (not @t104) (not @t60) (not @t97) (not @t106) (not @t109) (not @t111) (not @t114) (not @t69) (not @t117) (not @t119) (not @t121) (not @t124) (not @t127) (not @t129) (not @t132) (not @t135) (not @t94)))) % 2.03/2.24 (step @p241 false :rule chain_m_resolution :premises (@p240 @p158 @p149 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p76 @p75 @p57 @p56 @p55 @p54 @p22 @p21 @p17) :args (false (@list false false false false false false false false false false false false false false false false false false false true) (@list @t97 @t94 @t135 @t132 @t129 @t127 @t124 @t121 @t119 @t117 @t69 @t114 @t60 @t111 @t109 @t106 @t42 @t104 @t101 @t136))) % 2.03/2.24 ) % 2.03/2.25 % SZS output end Proof % 2.03/2.25 % cvc5 exiting %------------------------------------------------------------------------------