%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP775+1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:21:29 AM UTC 2026 % Result : Theorem 0.45s 0.68s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP775+1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % 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 : Tue Jun 2 02:04:04 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.68 % SZS status Theorem % 0.45/0.68 % SZS output start Proof % 0.45/0.68 ( % 0.45/0.68 (declare-sort $$unsorted 0) % 0.45/0.68 (declare-const tptp.d (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.r (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.l (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (define @t1 () (@var "C" $$unsorted)) % 0.45/0.68 (define @t2 () (@var "B" $$unsorted)) % 0.45/0.68 (define @t3 () (@var "A" $$unsorted)) % 0.45/0.68 (define @t4 () (forall (@list @t1 @t2 @t3) (= (tptp.product (tptp.product @t3 @t2) @t1) (tptp.product @t3 (tptp.product @t2 @t1))))) % 0.45/0.68 (define @t5 () (tptp.product @t3 @t3)) % 0.45/0.68 (define @t6 () (forall (@list @t3) (= @t5 @t3))) % 0.45/0.68 (define @t7 () (@var "X1" $$unsorted)) % 0.45/0.68 (define @t8 () (@var "X0" $$unsorted)) % 0.45/0.68 (define @t9 () (tptp.product @t7 @t8)) % 0.45/0.68 (define @t10 () (tptp.product @t8 @t7)) % 0.45/0.68 (define @t11 () (and (= @t10 @t8) (= @t9 @t7))) % 0.45/0.68 (define @t12 () (tptp.l @t8 @t7)) % 0.45/0.68 (define @t13 () (= @t12 @t11)) % 0.45/0.68 (define @t14 () (forall (@list @t8 @t7) @t13)) % 0.45/0.68 (define @t15 () (@var "X2" $$unsorted)) % 0.45/0.68 (define @t16 () (@var "X3" $$unsorted)) % 0.45/0.68 (define @t17 () (tptp.product @t16 @t15)) % 0.45/0.68 (define @t18 () (tptp.product @t15 @t16)) % 0.45/0.68 (define @t19 () (and (= @t18 @t16) (= @t17 @t15))) % 0.45/0.68 (define @t20 () (tptp.r @t15 @t16)) % 0.45/0.68 (define @t21 () (= @t20 @t19)) % 0.45/0.68 (define @t22 () (forall (@list @t15 @t16) @t21)) % 0.45/0.68 (define @t23 () (@var "X5" $$unsorted)) % 0.45/0.68 (define @t24 () (@var "X6" $$unsorted)) % 0.45/0.68 (define @t25 () (tptp.l @t24 @t23)) % 0.45/0.68 (define @t26 () (@var "X4" $$unsorted)) % 0.45/0.68 (define @t27 () (tptp.r @t26 @t24)) % 0.45/0.68 (define @t28 () (and @t27 @t25)) % 0.45/0.68 (define @t29 () (@list @t24)) % 0.45/0.68 (define @t30 () (exists @t29 @t28)) % 0.45/0.68 (define @t31 () (tptp.d @t26 @t23)) % 0.45/0.68 (define @t32 () (= @t31 @t30)) % 0.45/0.68 (define @t33 () (forall (@list @t26 @t23) @t32)) % 0.45/0.68 (define @t34 () (@var "X8" $$unsorted)) % 0.45/0.68 (define @t35 () (@var "X7" $$unsorted)) % 0.45/0.68 (define @t36 () (tptp.product @t34 (tptp.product @t35 @t34))) % 0.45/0.68 (define @t37 () (tptp.product @t35 (tptp.product @t34 @t35))) % 0.45/0.68 (define @t38 () (and (= @t37 @t35) (= @t36 @t34))) % 0.45/0.68 (define @t39 () (tptp.d @t35 @t34)) % 0.45/0.68 (define @t40 () (= @t39 @t38)) % 0.45/0.68 (define @t41 () (@list @t35 @t34)) % 0.45/0.68 (define @t42 () (forall @t41 @t40)) % 0.45/0.68 (define @t43 () (not @t42)) % 0.45/0.68 (define @t44 () (forall @t41 (= @t39 (and (= @t35 @t37) (= @t34 @t36))))) % 0.45/0.68 (define @t45 () (@quantifiers_skolemize @t44 1)) % 0.45/0.68 (define @t46 () (@quantifiers_skolemize @t44 0)) % 0.45/0.68 (define @t47 () (tptp.product @t46 @t45)) % 0.45/0.68 (define @t48 () (tptp.product @t45 @t47)) % 0.45/0.68 (define @t49 () (= @t45 @t48)) % 0.45/0.68 (define @t50 () (tptp.product @t45 @t46)) % 0.45/0.68 (define @t51 () (tptp.product @t46 @t50)) % 0.45/0.68 (define @t52 () (= @t46 @t51)) % 0.45/0.68 (define @t53 () (and @t52 @t49)) % 0.45/0.68 (define @t54 () (tptp.d @t46 @t45)) % 0.45/0.68 (define @t55 () (= @t54 @t53)) % 0.45/0.68 (define @t56 () (forall @t29 (not @t28))) % 0.45/0.68 (define @t57 () (not @t56)) % 0.45/0.68 (define @t58 () (forall @t29 (or (not (tptp.r @t46 @t24)) (not (tptp.l @t24 @t45))))) % 0.45/0.68 (define @t59 () (not @t58)) % 0.45/0.68 (define @t60 () (= @t54 @t59)) % 0.45/0.68 (define @t61 () (not @t60)) % 0.45/0.68 (define @t62 () (not @t59)) % 0.45/0.68 (define @t63 () (not @t53)) % 0.45/0.68 (define @t64 () (tptp.l @t47 @t45)) % 0.45/0.68 (define @t65 () (not @t64)) % 0.45/0.68 (define @t66 () (tptp.r @t46 @t47)) % 0.45/0.68 (define @t67 () (not @t66)) % 0.45/0.68 (define @t68 () (or @t67 @t65)) % 0.45/0.68 (define @t69 () (= @t47 (tptp.product @t47 @t45))) % 0.45/0.68 (define @t70 () (and @t69 @t49)) % 0.45/0.68 (define @t71 () (= @t64 @t70)) % 0.45/0.68 (define @t72 () (tptp.product @t47 @t46)) % 0.45/0.68 (define @t73 () (= @t46 @t72)) % 0.45/0.68 (define @t74 () (= @t47 (tptp.product @t46 @t47))) % 0.45/0.68 (define @t75 () (and @t74 @t73)) % 0.45/0.68 (define @t76 () (= @t66 @t75)) % 0.45/0.68 (define @t77 () (= @t72 @t51)) % 0.45/0.68 (define @t78 () (= @t51 @t72)) % 0.45/0.68 (define @t79 () (@list false)) % 0.45/0.68 (define @t80 () (@list @t4)) % 0.45/0.68 (define @t81 () (and @t52 @t78)) % 0.45/0.68 (define @t82 () (@quantifiers_skolemize @t58 0)) % 0.45/0.68 (define @t83 () (tptp.product @t82 @t45)) % 0.45/0.68 (define @t84 () (tptp.product @t83 @t46)) % 0.45/0.68 (define @t85 () (tptp.product @t82 @t50)) % 0.45/0.68 (define @t86 () (= @t84 @t85)) % 0.45/0.68 (define @t87 () (@list @t46 @t45 @t82)) % 0.45/0.68 (define @t88 () (= @t85 @t84)) % 0.45/0.68 (define @t89 () (@list false false)) % 0.45/0.68 (define @t90 () (tptp.l @t82 @t45)) % 0.45/0.68 (define @t91 () (not @t90)) % 0.45/0.68 (define @t92 () (tptp.r @t46 @t82)) % 0.45/0.68 (define @t93 () (not @t92)) % 0.45/0.68 (define @t94 () (or @t93 @t91)) % 0.45/0.68 (define @t95 () (not @t94)) % 0.45/0.68 (define @t96 () (@list true)) % 0.45/0.68 (define @t97 () (@list @t94)) % 0.45/0.68 (define @t98 () (= @t46 (tptp.product @t82 @t46))) % 0.45/0.68 (define @t99 () (tptp.product @t46 @t82)) % 0.45/0.68 (define @t100 () (= @t82 @t99)) % 0.45/0.68 (define @t101 () (and @t100 @t98)) % 0.45/0.68 (define @t102 () (= @t92 @t101)) % 0.45/0.68 (define @t103 () (not @t101)) % 0.45/0.68 (define @t104 () (@list @t101)) % 0.45/0.68 (define @t105 () (tptp.product @t45 @t82)) % 0.45/0.68 (define @t106 () (= @t45 @t105)) % 0.45/0.68 (define @t107 () (= @t82 @t83)) % 0.45/0.68 (define @t108 () (and @t107 @t106)) % 0.45/0.68 (define @t109 () (= @t90 @t108)) % 0.45/0.68 (define @t110 () (not @t108)) % 0.45/0.68 (define @t111 () (@list @t108)) % 0.45/0.68 (define @t112 () (tptp.product @t50 @t50)) % 0.45/0.68 (define @t113 () (tptp.product @t46 @t112)) % 0.45/0.68 (define @t114 () (tptp.product @t51 @t50)) % 0.45/0.68 (define @t115 () (= @t114 @t113)) % 0.45/0.68 (define @t116 () (tptp.product @t45 @t51)) % 0.45/0.68 (define @t117 () (= @t112 @t116)) % 0.45/0.68 (define @t118 () (tptp.product @t46 @t46)) % 0.45/0.68 (define @t119 () (tptp.product @t45 @t118)) % 0.45/0.68 (define @t120 () (tptp.product @t50 @t46)) % 0.45/0.68 (define @t121 () (= @t120 @t119)) % 0.45/0.68 (define @t122 () (= @t50 @t112)) % 0.45/0.68 (define @t123 () (tptp.product @t46 @t51)) % 0.45/0.68 (define @t124 () (tptp.product @t118 @t50)) % 0.45/0.68 (define @t125 () (= @t124 @t123)) % 0.45/0.68 (define @t126 () (= @t46 @t118)) % 0.45/0.68 (define @t127 () (tptp.product @t85 @t50)) % 0.45/0.68 (define @t128 () (= @t127 (tptp.product @t82 @t112))) % 0.45/0.68 (define @t129 () (= @t46 @t113)) % 0.45/0.68 (define @t130 () (tptp.product @t46 @t120)) % 0.45/0.68 (define @t131 () (tptp.product @t45 @t123)) % 0.45/0.68 (define @t132 () (and @t115 @t117 @t121 @t122 @t125 @t126 @t107 @t98 @t88 @t128)) % 0.45/0.68 (define @t133 () (not @t126)) % 0.45/0.68 (define @t134 () (not @t122)) % 0.45/0.68 (define @t135 () (not @t121)) % 0.45/0.68 (define @t136 () (not @t117)) % 0.45/0.68 (define @t137 () (@list @t47 @t45 @t45)) % 0.45/0.68 (define @t138 () (tptp.product @t48 @t46)) % 0.45/0.68 (define @t139 () (= @t138 (tptp.product @t45 @t72))) % 0.45/0.68 (define @t140 () (tptp.product @t45 @t48)) % 0.45/0.68 (define @t141 () (tptp.product @t45 @t45)) % 0.45/0.68 (define @t142 () (= (tptp.product @t141 @t47) @t140)) % 0.45/0.68 (define @t143 () (= @t45 @t141)) % 0.45/0.68 (define @t144 () (tptp.product @t47 @t82)) % 0.45/0.68 (define @t145 () (tptp.product @t45 @t144)) % 0.45/0.68 (define @t146 () (= (tptp.product @t48 @t82) @t145)) % 0.45/0.68 (define @t147 () (tptp.product @t46 @t105)) % 0.45/0.68 (define @t148 () (= @t144 @t147)) % 0.45/0.68 (define @t149 () (tptp.product @t50 @t82)) % 0.45/0.68 (define @t150 () (= @t149 (tptp.product @t45 @t99))) % 0.45/0.68 (define @t151 () (tptp.product @t48 @t99)) % 0.45/0.68 (define @t152 () (= (tptp.product @t138 @t82) @t151)) % 0.45/0.68 (define @t153 () (= @t45 @t140)) % 0.45/0.68 (define @t154 () (and @t139 @t117 @t78 @t121 @t122 @t142 @t126 @t143 @t106 @t100 @t146 @t148 @t150 @t152)) % 0.45/0.68 (assume @p1 @t4) % 0.45/0.68 (assume @p2 @t6) % 0.45/0.68 (assume @p3 @t14) % 0.45/0.68 (assume @p4 @t22) % 0.45/0.68 (assume @p5 @t33) % 0.45/0.68 (assume @p6 @t43) % 0.45/0.68 (assume @p7 true) % 0.45/0.68 (step @p8 :rule eq-symm :args (@t36 @t34)) % 0.45/0.68 (step @p9 :rule eq-symm :args (@t37 @t35)) % 0.45/0.68 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t38)) % 0.45/0.68 (step @p11 :rule refl :args (@t39)) % 0.45/0.68 (step @p12 :rule cong :premises (@p11 @p10) :args (@t40)) % 0.45/0.68 (step @p13 :rule cong :premises (@p12) :args (@t42)) % 0.45/0.68 (step @p14 :rule cong :premises (@p13) :args (@t43)) % 0.45/0.68 (step @p15 :rule eq_resolve :premises (@p6 @p14)) % 0.45/0.68 (step @p16 :rule skolemize :premises (@p15)) % 0.45/0.68 (step @p17 :rule cnf_equiv_neg1 :args (@t55)) % 0.45/0.68 (step @p18 :rule reordering :premises (@p17) :args ((or @t54 @t53 @t55))) % 0.45/0.68 (step @p19 :rule bool-and-de-morgan :args (@t27 @t25 true)) % 0.45/0.68 (step @p20 :rule cong :premises (@p19) :args (@t56)) % 0.45/0.68 (step @p21 :rule cong :premises (@p20) :args (@t57)) % 0.45/0.68 (step @p22 :rule exists-elim :args ((= @t30 @t57))) % 0.45/0.68 (step @p23 :rule trans :premises (@p22 @p21)) % 0.45/0.68 (step @p24 :rule refl :args (@t31)) % 0.45/0.68 (step @p25 :rule cong :premises (@p24 @p23) :args (@t32)) % 0.45/0.68 (step @p26 :rule cong :premises (@p25) :args (@t33)) % 0.45/0.68 (step @p27 :rule eq_resolve :premises (@p5 @p26)) % 0.45/0.68 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t46 @t45))) % 0.45/0.68 (step @p29 :rule bool-double-not-elim :args (@t58)) % 0.45/0.68 (step @p30 :rule refl :args (@t54)) % 0.45/0.68 (step @p31 :rule refl :args (@t61)) % 0.45/0.68 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29) :args ((or @t61 @t54 @t62))) % 0.45/0.68 (step @p33 :rule cnf_equiv_pos2 :args (@t60)) % 0.45/0.68 (step @p34 :rule eq_resolve :premises (@p33 @p32)) % 0.45/0.68 (step @p35 :rule reordering :premises (@p34) :args ((or @t54 @t58 @t61))) % 0.45/0.68 (step @p36 :rule cnf_and_pos :args (@t53 0)) % 0.45/0.68 (step @p37 :rule reordering :premises (@p36) :args ((or @t52 @t63))) % 0.45/0.68 (step @p38 :rule cnf_and_pos :args (@t53 1)) % 0.45/0.68 (step @p39 :rule reordering :premises (@p38) :args ((or @t49 @t63))) % 0.45/0.68 (assume-push @p369 @t58) % 0.45/0.68 (step @p41 :rule instantiate :premises (@p369) :args ((@list @t47))) % 0.45/0.68 (step-pop @p370 :rule scope :premises (@p41)) % 0.45/0.68 (step @p42 :rule process_scope :premises (@p370) :args (@t68)) % 0.45/0.68 (step @p44 :rule implies_elim :premises (@p42)) % 0.45/0.68 (step @p45 :rule instantiate :premises (@p1) :args ((@list @t45 @t45 @t46))) % 0.45/0.68 (step @p46 :rule symm :premises (@p45)) % 0.45/0.68 (step @p47 :rule eq-symm :args (@t5 @t3)) % 0.45/0.68 (step @p48 :rule cong :premises (@p47) :args (@t6)) % 0.45/0.68 (step @p49 :rule eq_resolve :premises (@p2 @p48)) % 0.45/0.68 (step @p50 :rule instantiate :premises (@p49) :args ((@list @t45))) % 0.45/0.68 (step @p51 :rule refl :args (@t46)) % 0.45/0.68 (step @p52 :rule cong :premises (@p51 @p50) :args (@t47)) % 0.45/0.68 (step @p53 :rule trans :premises (@p52 @p46)) % 0.45/0.68 (step @p54 :rule cnf_and_neg :args (@t70)) % 0.45/0.68 (step @p55 :rule reordering :premises (@p54) :args ((or (not @t49) @t70 (not @t69)))) % 0.45/0.68 (step @p56 :rule eq-symm :args (@t9 @t7)) % 0.45/0.68 (step @p57 :rule eq-symm :args (@t10 @t8)) % 0.45/0.68 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t11)) % 0.45/0.68 (step @p59 :rule refl :args (@t12)) % 0.45/0.68 (step @p60 :rule cong :premises (@p59 @p58) :args (@t13)) % 0.45/0.68 (step @p61 :rule cong :premises (@p60) :args (@t14)) % 0.45/0.68 (step @p62 :rule eq_resolve :premises (@p3 @p61)) % 0.45/0.68 (step @p63 :rule instantiate :premises (@p62) :args ((@list @t47 @t45))) % 0.45/0.68 (step @p64 :rule cnf_equiv_pos2 :args (@t71)) % 0.45/0.68 (step @p65 :rule reordering :premises (@p64) :args ((or @t64 (not @t70) (not @t71)))) % 0.45/0.68 (step @p66 :rule cnf_or_pos :args (@t68)) % 0.45/0.68 (step @p67 :rule reordering :premises (@p66) :args ((or @t65 @t67 (not @t68)))) % 0.45/0.68 (step @p68 :rule eq-symm :args (@t17 @t15)) % 0.45/0.68 (step @p69 :rule eq-symm :args (@t18 @t16)) % 0.45/0.68 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t19)) % 0.45/0.68 (step @p71 :rule refl :args (@t20)) % 0.45/0.68 (step @p72 :rule cong :premises (@p71 @p70) :args (@t21)) % 0.45/0.68 (step @p73 :rule cong :premises (@p72) :args (@t22)) % 0.45/0.68 (step @p74 :rule eq_resolve :premises (@p4 @p73)) % 0.45/0.68 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t46 @t47))) % 0.45/0.68 (step @p76 :rule cnf_equiv_pos2 :args (@t76)) % 0.45/0.68 (step @p77 :rule reordering :premises (@p76) :args ((or @t66 (not @t75) (not @t76)))) % 0.45/0.68 (step @p78 :rule instantiate :premises (@p1) :args 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0.45/0.68 (step @p94 :rule chain_m_resolution :premises (@p93 @p1) :args (@t78 @t79 @t80)) % 0.45/0.68 (assume-push @p373 @t52) % 0.45/0.68 (assume-push @p374 @t78) % 0.45/0.68 (assume-push @p375 @t78) % 0.45/0.68 (assume-push @p376 @t52) % 0.45/0.68 (step @p99 :rule trans :premises (@p373 @p94)) % 0.45/0.68 (step-pop @p377 :rule scope :premises (@p99)) % 0.45/0.68 (step-pop @p378 :rule scope :premises (@p377)) % 0.45/0.68 (step @p100 :rule process_scope :premises (@p378) :args (@t73)) % 0.45/0.68 (step @p103 :rule and_intro :premises (@p94 @p373)) % 0.45/0.68 (step @p104 :rule modus_ponens :premises (@p103 @p100)) % 0.45/0.68 (step-pop @p379 :rule scope :premises (@p104)) % 0.45/0.68 (step-pop @p380 :rule scope :premises (@p379)) % 0.45/0.68 (step @p105 :rule process_scope :premises (@p380) :args (@t73)) % 0.45/0.68 (step @p108 :rule implies_elim :premises (@p105)) % 0.45/0.68 (step @p109 :rule cnf_and_neg :args (@t81)) % 0.45/0.68 (step @p110 :rule resolution :premises (@p109 @p108) 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(assume-push @p452 @t100) % 0.45/0.68 (assume-push @p453 @t152) % 0.45/0.68 (assume-push @p454 @t139) % 0.45/0.68 (assume-push @p455 @t78) % 0.45/0.68 (assume-push @p456 @t117) % 0.45/0.68 (assume-push @p457 @t122) % 0.45/0.68 (assume-push @p458 @t126) % 0.45/0.68 (assume-push @p459 @t121) % 0.45/0.68 (assume-push @p460 @t150) % 0.45/0.68 (step @p289 :rule refl :args (@t47)) % 0.45/0.68 (step @p311 :rule cong :premises (@p50 @p289) :args (@t48)) % 0.45/0.68 (step @p312 :rule symm :premises (@p437)) % 0.45/0.68 (step @p313 :rule cong :premises (@p51 @p312) :args (@t147)) % 0.45/0.68 (step @p314 :rule trans :premises (@p262 @p313)) % 0.45/0.68 (step @p315 :rule cong :premises (@p79 @p314) :args (@t145)) % 0.45/0.68 (step @p316 :rule symm :premises (@p438)) % 0.45/0.68 (step @p317 :rule refl :args (@t48)) % 0.45/0.68 (step @p318 :rule cong :premises (@p317 @p316) :args (@t151)) % 0.45/0.68 (step @p222 :rule refl :args (@t82)) % 0.45/0.68 (step @p319 :rule symm :premises (@p271)) % 0.45/0.68 (step @p320 :rule cong :premises (@p79 @p94) :args (@t116)) % 0.45/0.68 (step @p321 :rule trans :premises (@p166 @p320 @p319)) % 0.45/0.68 (step @p182 :rule symm :premises (@p80)) % 0.45/0.68 (step @p183 :rule cong :premises (@p79 @p182) :args (@t119)) % 0.45/0.68 (step @p184 :rule trans :premises (@p165 @p183 @p164)) % 0.45/0.68 (step @p186 :rule symm :premises (@p165)) % 0.45/0.68 (step @p187 :rule symm :premises (@p183)) % 0.45/0.68 (step @p188 :rule trans :premises (@p187 @p186)) % 0.45/0.68 (step @p322 :rule trans :premises (@p188 @p184 @p321)) % 0.45/0.68 (step @p323 :rule cong :premises (@p322 @p222) :args (@t149)) % 0.45/0.68 (step @p324 :rule symm :premises (@p261)) % 0.45/0.68 (step @p325 :rule cong :premises (@p79 @p438) :args (@t105)) % 0.45/0.68 (step @p326 :rule trans :premises (@p437 @p325 @p324 @p323 @p260 @p318 @p263 @p315 @p311 @p270)) % 0.45/0.68 (step-pop @p461 :rule scope :premises (@p326)) % 0.45/0.68 (step-pop @p462 :rule scope :premises (@p461)) % 0.45/0.68 (step-pop @p463 :rule scope :premises (@p462)) % 0.45/0.68 (step-pop @p464 :rule scope :premises (@p463)) % 0.45/0.68 (step-pop @p465 :rule scope :premises (@p464)) % 0.45/0.68 (step-pop @p466 :rule scope :premises (@p465)) % 0.45/0.68 (step-pop @p467 :rule scope :premises (@p466)) % 0.45/0.68 (step-pop @p468 :rule scope :premises (@p467)) % 0.45/0.68 (step-pop @p469 :rule scope :premises (@p468)) % 0.45/0.68 (step-pop @p470 :rule scope :premises (@p469)) % 0.45/0.68 (step-pop @p471 :rule scope :premises (@p470)) % 0.45/0.68 (step-pop @p472 :rule scope :premises (@p471)) % 0.45/0.68 (step-pop @p473 :rule scope :premises (@p472)) % 0.45/0.68 (step-pop @p474 :rule scope :premises (@p473)) % 0.45/0.68 (step @p327 :rule process_scope :premises (@p474) :args (@t153)) % 0.45/0.68 (step @p342 :rule and_intro :premises (@p270 @p50 @p437 @p262 @p263 @p438 @p260 @p271 @p94 @p166 @p164 @p80 @p165 @p261)) % 0.45/0.68 (step @p343 :rule modus_ponens :premises (@p342 @p327)) % 0.45/0.68 (step @p289 :rule refl :args (@t47)) % 0.45/0.68 (step @p311 :rule cong :premises (@p50 @p289) :args (@t48)) % 0.45/0.68 (step @p344 :rule trans :premises (@p311 @p270)) % 0.45/0.68 (step @p345 :rule and_intro :premises (@p344 @p343)) % 0.45/0.68 (step @p346 :rule modus_ponens :premises (@p345 @p294)) % 0.45/0.68 (step-pop @p475 :rule scope :premises (@p346)) % 0.45/0.68 (step-pop @p476 :rule scope :premises (@p475)) % 0.45/0.68 (step-pop @p477 :rule scope :premises (@p476)) % 0.45/0.68 (step-pop @p478 :rule scope :premises (@p477)) % 0.45/0.68 (step-pop @p479 :rule scope :premises (@p478)) % 0.45/0.68 (step-pop @p480 :rule scope :premises (@p479)) % 0.45/0.68 (step-pop @p481 :rule scope :premises (@p480)) % 0.45/0.68 (step-pop @p482 :rule scope :premises (@p481)) % 0.45/0.68 (step-pop @p483 :rule scope :premises (@p482)) % 0.45/0.68 (step-pop @p484 :rule scope :premises (@p483)) % 0.45/0.68 (step-pop @p485 :rule scope :premises (@p484)) % 0.45/0.68 (step-pop @p486 :rule scope :premises (@p485)) % 0.45/0.68 (step-pop @p487 :rule scope :premises (@p486)) % 0.45/0.68 (step-pop @p488 :rule scope :premises (@p487)) % 0.45/0.68 (step @p347 :rule process_scope :premises (@p488) :args (@t49)) % 0.45/0.68 (step @p362 :rule implies_elim :premises (@p347)) % 0.45/0.68 (step @p363 :rule cnf_and_neg :args (@t154)) % 0.45/0.68 (step @p364 :rule resolution :premises (@p363 @p362) :args (true @t154)) % 0.45/0.68 (step @p365 :rule reordering :premises (@p364) :args ((or @t49 (not @t139) @t136 (not @t78) @t135 @t134 (not @t142) @t133 (not @t143) (not @t106) (not @t100) (not @t146) (not @t148) (not @t150) (not @t152)))) % 0.45/0.68 (step @p366 :rule chain_m_resolution :premises (@p365 @p271 @p166 @p94 @p165 @p164 @p270 @p80 @p50 @p269 @p266 @p263 @p262 @p261 @p260) :args (@t49 (@list false false false false false false false false false false false false false false) (@list @t139 @t117 @t78 @t121 @t122 @t142 @t126 @t143 @t106 @t100 @t146 @t148 @t150 @t152))) % 0.45/0.68 (step @p367 :rule cnf_and_neg :args (@t53)) % 0.45/0.68 (step @p368 false :rule chain_m_resolution :premises (@p367 @p366 @p259 @p113) :args (false (@list false false true) (@list @t49 @t52 @t53))) % 0.45/0.68 ) % 0.45/0.68 % SZS output end Proof % 0.45/0.68 % cvc5 exiting %------------------------------------------------------------------------------