%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET598^5 : 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 : n011.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 08:48:09 AM UTC 2026 % Result : Theorem 1.11s 1.38s % Output : Proof 1.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET598^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n011.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:03:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 1.11/1.38 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.11/1.38 % SZS status Theorem % 1.11/1.38 % SZS output start Proof % 1.11/1.38 ( % 1.11/1.38 (declare-sort tptp.a 0) % 1.11/1.38 (define @t1 () (@var "Xx" tptp.a)) % 1.11/1.38 (define @t2 () (@var "X" (-> tptp.a Bool))) % 1.11/1.38 (define @t3 () (_ @t2 @t1)) % 1.11/1.38 (define @t4 () (@var "V" (-> tptp.a Bool))) % 1.11/1.38 (define @t5 () (_ @t4 @t1)) % 1.11/1.38 (define @t6 () (@list @t1)) % 1.11/1.38 (define @t7 () (forall @t6 (=> @t5 @t3))) % 1.11/1.38 (define @t8 () (@var "Z" (-> tptp.a Bool))) % 1.11/1.38 (define @t9 () (_ @t8 @t1)) % 1.11/1.38 (define @t10 () (forall @t6 (=> @t5 @t9))) % 1.11/1.38 (define @t11 () (@var "Y" (-> tptp.a Bool))) % 1.11/1.38 (define @t12 () (_ @t11 @t1)) % 1.11/1.38 (define @t13 () (forall @t6 (=> @t5 @t12))) % 1.11/1.38 (define @t14 () (and @t13 @t10)) % 1.11/1.38 (define @t15 () (=> @t14 @t7)) % 1.11/1.38 (define @t16 () (@list @t4)) % 1.11/1.38 (define @t17 () (forall @t16 @t15)) % 1.11/1.38 (define @t18 () (forall @t6 (=> @t3 @t9))) % 1.11/1.38 (define @t19 () (forall @t6 (=> @t3 @t12))) % 1.11/1.38 (define @t20 () (and @t19 @t18 @t17)) % 1.11/1.38 (define @t21 () (and @t12 @t9)) % 1.11/1.38 (define @t22 () (lambda @t6 @t21)) % 1.11/1.38 (define @t23 () (= @t2 @t22)) % 1.11/1.38 (define @t24 () (= @t23 @t20)) % 1.11/1.38 (define @t25 () (@list @t2 @t11 @t8)) % 1.11/1.38 (define @t26 () (forall @t25 @t24)) % 1.11/1.38 (define @t27 () (not @t26)) % 1.11/1.38 (define @t28 () (_ @t8 @t1)) % 1.11/1.38 (define @t29 () (_ @t11 @t1)) % 1.11/1.38 (define @t30 () (= @t2 (lambda @t6 (and @t29 @t28)))) % 1.11/1.38 (define @t31 () (@var "BOUND_VARIABLE_7477" tptp.a)) % 1.11/1.38 (define @t32 () (_ @t2 @t31)) % 1.11/1.38 (define @t33 () (not (_ @t4 @t31))) % 1.11/1.38 (define @t34 () (_ @t4 @t1)) % 1.11/1.38 (define @t35 () (not @t34)) % 1.11/1.38 (define @t36 () (forall @t6 (or @t35 @t28))) % 1.11/1.38 (define @t37 () (not @t36)) % 1.11/1.38 (define @t38 () (forall @t6 (or @t35 @t29))) % 1.11/1.38 (define @t39 () (not @t38)) % 1.11/1.38 (define @t40 () (or @t39 @t37 @t33 @t32)) % 1.11/1.38 (define @t41 () (@list @t4 @t31)) % 1.11/1.38 (define @t42 () (_ @t2 @t1)) % 1.11/1.38 (define @t43 () (not @t42)) % 1.11/1.38 (define @t44 () (and (forall @t6 (or @t43 @t29)) (forall @t6 (or @t43 @t28)) (forall @t41 @t40))) % 1.11/1.38 (define @t45 () (= @t23 @t44)) % 1.11/1.38 (define @t46 () (or @t33 @t32)) % 1.11/1.38 (define @t47 () (or @t39 @t37 @t46)) % 1.11/1.38 (define @t48 () (forall @t41 @t47)) % 1.11/1.38 (define @t49 () (@list @t31)) % 1.11/1.38 (define @t50 () (forall @t49 @t47)) % 1.11/1.38 (define @t51 () (forall @t49 @t46)) % 1.11/1.38 (define @t52 () (or @t39 @t37 @t51)) % 1.11/1.38 (define @t53 () (forall @t6 (or @t35 @t42))) % 1.11/1.38 (define @t54 () (or @t39 @t37 @t53)) % 1.11/1.38 (define @t55 () (and @t38 @t36)) % 1.11/1.38 (define @t56 () (not @t5)) % 1.11/1.38 (define @t57 () (or @t56 @t3)) % 1.11/1.38 (define @t58 () (or @t56 @t9)) % 1.11/1.38 (define @t59 () (or @t56 @t12)) % 1.11/1.38 (define @t60 () (not @t3)) % 1.11/1.38 (define @t61 () (or @t60 @t9)) % 1.11/1.38 (define @t62 () (or @t60 @t12)) % 1.11/1.38 (define @t63 () (forall @t25 (= @t44 @t30))) % 1.11/1.38 (define @t64 () (@quantifiers_skolemize @t63 2)) % 1.11/1.38 (define @t65 () (_ @t64 @t1)) % 1.11/1.38 (define @t66 () (@quantifiers_skolemize @t63 1)) % 1.11/1.38 (define @t67 () (_ @t66 @t1)) % 1.11/1.38 (define @t68 () (and @t67 @t65)) % 1.11/1.38 (define @t69 () (lambda @t6 @t68)) % 1.11/1.38 (define @t70 () (@purify @t69)) % 1.11/1.38 (define @t71 () (@quantifiers_skolemize @t63 0)) % 1.11/1.38 (define @t72 () (= @t71 @t70)) % 1.11/1.38 (define @t73 () (forall @t41 (or (not (forall @t6 (or @t35 @t67))) (not (forall @t6 (or @t35 @t65))) @t33 (_ @t71 @t31)))) % 1.11/1.38 (define @t74 () (not (_ @t71 @t1))) % 1.11/1.38 (define @t75 () (forall @t6 (or @t74 @t65))) % 1.11/1.38 (define @t76 () (forall @t6 (or @t74 @t67))) % 1.11/1.38 (define @t77 () (and @t76 @t75 @t73)) % 1.11/1.38 (define @t78 () (= @t77 @t72)) % 1.11/1.38 (define @t79 () (not @t78)) % 1.11/1.38 (define @t80 () (not @t63)) % 1.11/1.38 (define @t81 () (= @t71 @t69)) % 1.11/1.38 (define @t82 () (= @t77 @t81)) % 1.11/1.38 (define @t83 () (not @t82)) % 1.11/1.38 (define @t84 () (@list true)) % 1.11/1.38 (define @t85 () (not @t77)) % 1.11/1.38 (define @t86 () (@quantifiers_skolemize @t73 1)) % 1.11/1.38 (define @t87 () (_ @t71 @t86)) % 1.11/1.38 (define @t88 () (@quantifiers_skolemize @t73 0)) % 1.11/1.38 (define @t89 () (_ @t88 @t86)) % 1.11/1.38 (define @t90 () (not @t89)) % 1.11/1.38 (define @t91 () (not (_ @t88 @t1))) % 1.11/1.38 (define @t92 () (forall @t6 (or @t91 @t65))) % 1.11/1.38 (define @t93 () (not @t92)) % 1.11/1.38 (define @t94 () (forall @t6 (or @t91 @t67))) % 1.11/1.38 (define @t95 () (not @t94)) % 1.11/1.38 (define @t96 () (or @t95 @t93 @t90 @t87)) % 1.11/1.38 (define @t97 () (not @t96)) % 1.11/1.38 (define @t98 () (not @t73)) % 1.11/1.38 (define @t99 () (_ @t64 @t86)) % 1.11/1.38 (define @t100 () (_ @t66 @t86)) % 1.11/1.38 (define @t101 () (and @t100 @t99)) % 1.11/1.38 (define @t102 () (_ @t71 @t86)) % 1.11/1.38 (define @t103 () (= @t102 @t101)) % 1.11/1.38 (define @t104 () (=> @t72 @t103)) % 1.11/1.38 (define @t105 () (@list @t86)) % 1.11/1.38 (define @t106 () (or @t90 @t100)) % 1.11/1.38 (define @t107 () (= @t87 @t101)) % 1.11/1.38 (define @t108 () (or @t90 @t99)) % 1.11/1.38 (define @t109 () (@quantifiers_skolemize @t75 0)) % 1.11/1.38 (define @t110 () (_ @t64 @t109)) % 1.11/1.38 (define @t111 () (_ @t71 @t109)) % 1.11/1.38 (define @t112 () (not @t111)) % 1.11/1.38 (define @t113 () (or @t112 @t110)) % 1.11/1.38 (define @t114 () (not @t113)) % 1.11/1.38 (define @t115 () (not @t75)) % 1.11/1.38 (define @t116 () (and (_ @t66 @t109) @t110)) % 1.11/1.38 (define @t117 () (_ @t70 @t1)) % 1.11/1.38 (define @t118 () (_ @t69 @t1)) % 1.11/1.38 (define @t119 () (= @t117 @t118)) % 1.11/1.38 (define @t120 () (forall @t6 @t119)) % 1.11/1.38 (define @t121 () (_ @t70 @t109)) % 1.11/1.38 (define @t122 () (= @t116 @t121)) % 1.11/1.38 (define @t123 () (and @t72 @t111)) % 1.11/1.38 (define @t124 () (@const 0 tptp.a)) % 1.11/1.38 (define @t125 () (@list @t124)) % 1.11/1.38 (define @t126 () (_ @t66 @t124)) % 1.11/1.38 (define @t127 () (_ @t71 @t124)) % 1.11/1.38 (define @t128 () (not @t127)) % 1.11/1.38 (define @t129 () (or @t128 @t126)) % 1.11/1.38 (define @t130 () (_ @t64 @t124)) % 1.11/1.38 (define @t131 () (or @t128 @t130)) % 1.11/1.38 (define @t132 () (and @t126 @t130)) % 1.11/1.38 (define @t133 () (_ @t69 @t124)) % 1.11/1.38 (define @t134 () (_ @t70 @t124)) % 1.11/1.38 (define @t135 () (= @t127 @t134)) % 1.11/1.38 (define @t136 () (not @t135)) % 1.11/1.38 (define @t137 () (or @t72 @t136)) % 1.11/1.38 (define @t138 () (= @t127 @t132)) % 1.11/1.38 (define @t139 () (not @t129)) % 1.11/1.38 (define @t140 () (not @t131)) % 1.11/1.38 (define @t141 () (not @t132)) % 1.11/1.38 (define @t142 () (not @t130)) % 1.11/1.38 (define @t143 () (not @t126)) % 1.11/1.38 (define @t144 () (or @t143 @t142 @t127)) % 1.11/1.38 (define @t145 () (= @t124 @t124)) % 1.11/1.38 (define @t146 () (@var "BOUND_VARIABLE_58831" tptp.a)) % 1.11/1.38 (define @t147 () (lambda (@list @t146) (= @t146 @t124))) % 1.11/1.38 (define @t148 () (_ @t147 @t124)) % 1.11/1.38 (define @t149 () (not @t148)) % 1.11/1.38 (define @t150 () (not @t145)) % 1.11/1.38 (define @t151 () (or @t150 @t130)) % 1.11/1.38 (define @t152 () (= @t1 @t124)) % 1.11/1.38 (define @t153 () (not @t152)) % 1.11/1.38 (define @t154 () (or @t153 @t153 @t65)) % 1.11/1.38 (define @t155 () (or @t153 @t65)) % 1.11/1.38 (define @t156 () (_ @t147 @t1)) % 1.11/1.38 (define @t157 () (not @t156)) % 1.11/1.38 (define @t158 () (or @t157 @t65)) % 1.11/1.38 (define @t159 () (forall @t6 @t158)) % 1.11/1.38 (define @t160 () (not @t159)) % 1.11/1.38 (define @t161 () (or @t150 @t126)) % 1.11/1.38 (define @t162 () (or @t153 @t153 @t67)) % 1.11/1.38 (define @t163 () (or @t153 @t67)) % 1.11/1.38 (define @t164 () (or @t157 @t67)) % 1.11/1.38 (define @t165 () (forall @t6 @t164)) % 1.11/1.38 (define @t166 () (not @t165)) % 1.11/1.38 (define @t167 () (or @t166 @t160 @t149 @t127)) % 1.11/1.38 (define @t168 () (not @t76)) % 1.11/1.38 (define @t169 () (@list @t76)) % 1.11/1.38 (define @t170 () (@quantifiers_skolemize @t76 0)) % 1.11/1.38 (define @t171 () (_ @t66 @t170)) % 1.11/1.38 (define @t172 () (_ @t71 @t170)) % 1.11/1.38 (define @t173 () (not @t172)) % 1.11/1.38 (define @t174 () (or @t173 @t171)) % 1.11/1.38 (define @t175 () (not @t174)) % 1.11/1.38 (define @t176 () (@list @t174)) % 1.11/1.38 (define @t177 () (and @t171 (_ @t64 @t170))) % 1.11/1.38 (define @t178 () (not @t177)) % 1.11/1.38 (define @t179 () (_ @t70 @t170)) % 1.11/1.38 (define @t180 () (= @t177 @t179)) % 1.11/1.38 (define @t181 () (not @t179)) % 1.11/1.38 (define @t182 () (not @t72)) % 1.11/1.38 (define @t183 () (and @t181 @t72 @t172)) % 1.11/1.38 (assume @p1 @t27) % 1.11/1.38 (assume @p2 true) % 1.11/1.38 (step @p3 :rule eq-symm :args (@t30 @t44)) % 1.11/1.38 (step @p4 :rule cong :premises (@p3) :args ((forall @t25 (= @t30 @t44)))) % 1.11/1.38 (step @p5 :rule refl :args (@t44)) % 1.11/1.38 (step @p6 :rule refl :args (@t28)) % 1.11/1.38 (step @p7 :rule refl :args (@t9)) % 1.11/1.38 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t9 @t28))) % 1.11/1.38 (step @p9 :rule symm :premises (@p8)) % 1.11/1.38 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 1.11/1.38 (step @p11 :rule refl :args (@t29)) % 1.11/1.38 (step @p12 :rule refl :args (@t12)) % 1.11/1.38 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t12 @t29))) % 1.11/1.38 (step @p14 :rule symm :premises (@p13)) % 1.11/1.38 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 1.11/1.38 (step @p16 :rule nary_cong :premises (@p15 @p10) :args (@t21)) % 1.11/1.38 (step @p17 :rule cong :premises (@p16) :args (@t22)) % 1.11/1.38 (step @p18 :rule refl :args (@t2)) % 1.11/1.38 (step @p19 :rule cong :premises (@p18 @p17) :args (@t23)) % 1.11/1.38 (step @p20 :rule cong :premises (@p19 @p5) :args (@t45)) % 1.11/1.38 (step @p21 :rule cong :premises (@p20) :args ((forall @t25 @t45))) % 1.11/1.38 (step @p22 :rule trans :premises (@p21 @p4)) % 1.11/1.38 (step @p23 :rule aci_norm :args ((= @t47 @t40))) % 1.11/1.38 (step @p24 :rule cong :premises (@p23) :args (@t48)) % 1.11/1.38 (step @p25 :rule quant-merge-prenex :args ((= (forall @t16 @t50) @t48))) % 1.11/1.38 (step @p26 :rule alpha_equiv :args (@t51 (@list @t31) (@list @t1))) % 1.11/1.38 (step @p27 :rule refl :args (@t37)) % 1.11/1.38 (step @p28 :rule refl :args (@t39)) % 1.11/1.38 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args (@t52)) % 1.11/1.38 (step @p30 :rule quant-miniscope-or :args ((= @t50 @t52))) % 1.11/1.38 (step @p31 :rule trans :premises (@p30 @p29)) % 1.11/1.38 (step @p32 :rule symm :premises (@p31)) % 1.11/1.38 (step @p33 :rule cong :premises (@p32) :args ((forall @t16 @t54))) % 1.11/1.38 (step @p34 :rule trans :premises (@p33 @p25)) % 1.11/1.38 (step @p35 :rule trans :premises (@p34 @p24)) % 1.11/1.38 (step @p36 :rule aci_norm :args ((= (or (or @t39 @t37) @t53) @t54))) % 1.11/1.38 (step @p37 :rule refl :args (@t53)) % 1.11/1.38 (step @p38 :rule bool-and-de-morgan :args (@t38 @t36 true)) % 1.11/1.38 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t55) @t53))) % 1.11/1.38 (step @p40 :rule trans :premises (@p39 @p36)) % 1.11/1.38 (step @p41 :rule bool-impl-elim :args (@t55 @t53)) % 1.11/1.38 (step @p42 :rule trans :premises (@p41 @p40)) % 1.11/1.38 (step @p43 :rule cong :premises (@p42) :args ((forall @t16 (=> @t55 @t53)))) % 1.11/1.38 (step @p44 :rule trans :premises (@p43 @p35)) % 1.11/1.38 (step @p45 :rule refl :args (@t42)) % 1.11/1.38 (step @p46 :rule refl :args (@t3)) % 1.11/1.38 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t3 @t42))) % 1.11/1.38 (step @p48 :rule symm :premises (@p47)) % 1.11/1.38 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 1.11/1.38 (step @p50 :rule refl :args (@t34)) % 1.11/1.38 (step @p51 :rule refl :args (@t5)) % 1.11/1.38 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t5 @t34))) % 1.11/1.38 (step @p53 :rule symm :premises (@p52)) % 1.11/1.38 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 1.11/1.38 (step @p55 :rule cong :premises (@p54) :args (@t56)) % 1.11/1.38 (step @p56 :rule nary_cong :premises (@p55 @p49) :args (@t57)) % 1.11/1.38 (step @p57 :rule cong :premises (@p56) :args ((forall @t6 @t57))) % 1.11/1.38 (step @p58 :rule bool-impl-elim :args (@t5 @t3)) % 1.11/1.38 (step @p59 :rule cong :premises (@p58) :args (@t7)) % 1.11/1.38 (step @p60 :rule trans :premises (@p59 @p57)) % 1.11/1.38 (step @p61 :rule nary_cong :premises (@p55 @p10) :args (@t58)) % 1.11/1.38 (step @p62 :rule cong :premises (@p61) :args ((forall @t6 @t58))) % 1.11/1.38 (step @p63 :rule bool-impl-elim :args (@t5 @t9)) % 1.11/1.38 (step @p64 :rule cong :premises (@p63) :args (@t10)) % 1.11/1.38 (step @p65 :rule trans :premises (@p64 @p62)) % 1.11/1.38 (step @p66 :rule nary_cong :premises (@p55 @p15) :args (@t59)) % 1.11/1.38 (step @p67 :rule cong :premises (@p66) :args ((forall @t6 @t59))) % 1.11/1.38 (step @p68 :rule bool-impl-elim :args (@t5 @t12)) % 1.11/1.38 (step @p69 :rule cong :premises (@p68) :args (@t13)) % 1.11/1.38 (step @p70 :rule trans :premises (@p69 @p67)) % 1.11/1.38 (step @p71 :rule nary_cong :premises (@p70 @p65) :args (@t14)) % 1.11/1.38 (step @p72 :rule cong :premises (@p71 @p60) :args (@t15)) % 1.11/1.38 (step @p73 :rule cong :premises (@p72) :args (@t17)) % 1.11/1.38 (step @p74 :rule trans :premises (@p73 @p44)) % 1.11/1.38 (step @p75 :rule cong :premises (@p49) :args (@t60)) % 1.11/1.38 (step @p76 :rule nary_cong :premises (@p75 @p10) :args (@t61)) % 1.11/1.38 (step @p77 :rule cong :premises (@p76) :args ((forall @t6 @t61))) % 1.11/1.38 (step @p78 :rule bool-impl-elim :args (@t3 @t9)) % 1.11/1.38 (step @p79 :rule cong :premises (@p78) :args (@t18)) % 1.11/1.38 (step @p80 :rule trans :premises (@p79 @p77)) % 1.11/1.38 (step @p81 :rule nary_cong :premises (@p75 @p15) :args (@t62)) % 1.11/1.38 (step @p82 :rule cong :premises (@p81) :args ((forall @t6 @t62))) % 1.11/1.38 (step @p83 :rule bool-impl-elim :args (@t3 @t12)) % 1.11/1.38 (step @p84 :rule cong :premises (@p83) :args (@t19)) % 1.11/1.38 (step @p85 :rule trans :premises (@p84 @p82)) % 1.11/1.38 (step @p86 :rule nary_cong :premises (@p85 @p80 @p74) :args (@t20)) % 1.11/1.38 (step @p87 :rule refl :args (@t23)) % 1.11/1.38 (step @p88 :rule cong :premises (@p87 @p86) :args (@t24)) % 1.11/1.38 (step @p89 :rule cong :premises (@p88) :args (@t26)) % 1.11/1.38 (step @p90 :rule trans :premises (@p89 @p22)) % 1.11/1.38 (step @p91 :rule cong :premises (@p90) :args (@t27)) % 1.11/1.38 (step @p92 :rule eq_resolve :premises (@p1 @p91)) % 1.11/1.38 (step @p93 :rule refl :args (@t79)) % 1.11/1.38 (step @p94 :rule bool-double-not-elim :args (@t63)) % 1.11/1.38 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or (not @t80) @t79))) % 1.11/1.38 (step @p96 :rule eq-refl :args (@t69)) % 1.11/1.38 (step @p97 :rule skolem_intro :args (@t70)) % 1.11/1.38 (step @p98 :rule refl :args (@t69)) % 1.11/1.38 (step @p99 :rule cong :premises (@p98 @p97) :args ((= @t69 @t70))) % 1.11/1.38 (step @p100 :rule trans :premises (@p99 @p96)) % 1.11/1.38 (step @p101 :rule true_elim :premises (@p100)) % 1.11/1.38 (step @p102 :rule refl :args (@t71)) % 1.11/1.38 (step @p103 :rule cong :premises (@p102 @p101) :args (@t81)) % 1.11/1.38 (step @p104 :rule refl :args (@t77)) % 1.11/1.38 (step @p105 :rule cong :premises (@p104 @p103) :args (@t82)) % 1.11/1.38 (step @p106 :rule cong :premises (@p105) :args (@t83)) % 1.11/1.38 (step @p107 :rule refl :args (@t80)) % 1.11/1.38 (step @p108 :rule cong :premises (@p107 @p106) :args ((=> @t80 @t83))) % 1.11/1.38 (assume-push @p398 @t80) % 1.11/1.38 (step @p110 :rule skolemize :premises (@p92)) % 1.11/1.38 (step-pop @p399 :rule scope :premises (@p110)) % 1.11/1.38 (step @p111 :rule process_scope :premises (@p399) :args (@t83)) % 1.11/1.38 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 1.11/1.38 (step @p114 :rule implies_elim :premises (@p113)) % 1.11/1.38 (step @p115 :rule eq_resolve :premises (@p114 @p95)) % 1.11/1.38 (step @p116 :rule chain_m_resolution :premises (@p115 @p92) :args (@t79 @t84 (@list @t63))) % 1.11/1.38 (step @p117 :rule cnf_and_pos :args (@t77 2)) % 1.11/1.38 (step @p118 :rule reordering :premises (@p117) :args ((or @t73 @t85))) % 1.11/1.38 (step @p119 :rule refl :args (@t97)) % 1.11/1.38 (step @p120 :rule bool-double-not-elim :args (@t73)) % 1.11/1.38 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or (not @t98) @t97))) % 1.11/1.38 (assume-push @p400 @t98) % 1.11/1.38 (step @p123 :rule skolemize :premises (@p400)) % 1.11/1.38 (step-pop @p401 :rule scope :premises (@p123)) % 1.11/1.38 (step @p124 :rule process_scope :premises (@p401) :args (@t97)) % 1.11/1.38 (step @p126 :rule implies_elim :premises (@p124)) % 1.11/1.38 (step @p127 :rule eq_resolve :premises (@p126 @p121)) % 1.11/1.38 (step @p128 :rule cnf_equiv_neg1 :args (@t78)) % 1.11/1.38 (step @p129 :rule reordering :premises (@p128) :args ((or @t77 @t72 @t78))) % 1.11/1.38 (step @p130 :rule bool-double-not-elim :args (@t94)) % 1.11/1.38 (step @p131 :rule refl :args (@t96)) % 1.11/1.38 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t96 (not @t95)))) % 1.11/1.38 (step @p133 :rule cnf_or_neg :args (@t96 0)) % 1.11/1.38 (step @p134 :rule eq_resolve :premises (@p133 @p132)) % 1.11/1.38 (step @p135 :rule reordering :premises (@p134) :args ((or @t94 @t96))) % 1.11/1.38 (step @p136 :rule bool-double-not-elim :args (@t92)) % 1.11/1.38 (step @p137 :rule nary_cong :premises (@p131 @p136) :args ((or @t96 (not @t93)))) % 1.11/1.38 (step @p138 :rule cnf_or_neg :args (@t96 1)) % 1.11/1.38 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 1.11/1.38 (step @p140 :rule reordering :premises (@p139) :args ((or @t92 @t96))) % 1.11/1.38 (step @p141 :rule bool-double-not-elim :args (@t89)) % 1.11/1.38 (step @p142 :rule nary_cong :premises (@p131 @p141) :args ((or @t96 (not @t90)))) % 1.11/1.38 (step @p143 :rule cnf_or_neg :args (@t96 2)) % 1.11/1.38 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 1.11/1.38 (step @p145 :rule reordering :premises (@p144) :args ((or @t89 @t96))) % 1.11/1.38 (step @p146 :rule cnf_or_neg :args (@t96 3)) % 1.11/1.38 (step @p147 :rule refl :args (@t101)) % 1.11/1.38 (step @p148 :rule refl :args (@t87)) % 1.11/1.38 (step @p149 :rule refl :args (@t102)) % 1.11/1.38 (step @p150 :rule cong :premises (@p149 @p148) :args ((= @t102 @t87))) % 1.11/1.38 (step @p151 :rule symm :premises (@p150)) % 1.11/1.38 (step @p152 :rule eq_resolve :premises (@p149 @p151)) % 1.11/1.38 (step @p153 :rule cong :premises (@p152 @p147) :args (@t103)) % 1.11/1.38 (step @p154 :rule refl :args (@t72)) % 1.11/1.38 (step @p155 :rule cong :premises (@p154 @p153) :args (@t104)) % 1.11/1.38 ; WARNING: add trust step for TRUST % 1.11/1.38 ; trust TRUST THEORY_LEMMA % 1.11/1.38 (step @p156 :rule trust :premises () :args (@t104)) % 1.11/1.38 (step @p157 :rule eq_resolve :premises (@p156 @p155)) % 1.11/1.38 (step @p158 :rule implies_elim :premises (@p157)) % 1.11/1.38 (assume-push @p402 @t94) % 1.11/1.38 (step @p160 :rule instantiate :premises (@p402) :args (@t105)) % 1.11/1.38 (step-pop @p403 :rule scope :premises (@p160)) % 1.11/1.38 (step @p161 :rule process_scope :premises (@p403) :args (@t106)) % 1.11/1.38 (step @p163 :rule implies_elim :premises (@p161)) % 1.11/1.38 (step @p164 :rule cnf_equiv_pos2 :args (@t107)) % 1.11/1.38 (step @p165 :rule reordering :premises (@p164) :args ((or @t87 (not @t101) (not @t107)))) % 1.11/1.38 (step @p166 :rule cnf_or_pos :args (@t106)) % 1.11/1.38 (step @p167 :rule reordering :premises (@p166) :args ((or @t90 @t100 (not @t106)))) % 1.11/1.38 (step @p168 :rule cnf_and_neg :args (@t101)) % 1.11/1.38 (step @p169 :rule cnf_or_pos :args (@t108)) % 1.11/1.38 (step @p170 :rule reordering :premises (@p169) :args ((or @t90 @t99 (not @t108)))) % 1.11/1.38 (assume-push @p404 @t92) % 1.11/1.38 (step @p172 :rule instantiate :premises (@p404) :args (@t105)) % 1.11/1.38 (step-pop @p405 :rule scope :premises (@p172)) % 1.11/1.38 (step @p173 :rule process_scope :premises (@p405) :args (@t108)) % 1.11/1.38 (step @p175 :rule implies_elim :premises (@p173)) % 1.11/1.38 (step @p176 :rule chain_m_resolution :premises (@p175 @p170 @p168 @p167 @p165 @p163 @p158 @p146 @p145 @p140 @p135 @p129 @p116 @p127 @p118) :args (@t73 (@list true true false true false false true false false false false true true true) (@list @t108 @t99 @t100 @t101 @t106 @t107 @t87 @t89 @t92 @t94 @t72 @t78 @t96 @t77))) % 1.11/1.38 (step @p177 :rule cnf_and_pos :args (@t77 1)) % 1.11/1.38 (step @p178 :rule reordering :premises (@p177) :args ((or @t75 @t85))) % 1.11/1.38 (step @p179 :rule refl :args (@t114)) % 1.11/1.38 (step @p180 :rule bool-double-not-elim :args (@t75)) % 1.11/1.38 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or (not @t115) @t114))) % 1.11/1.38 (assume-push @p406 @t115) % 1.11/1.38 (step @p183 :rule skolemize :premises (@p406)) % 1.11/1.38 (step-pop @p407 :rule scope :premises (@p183)) % 1.11/1.38 (step @p184 :rule process_scope :premises (@p407) :args (@t114)) % 1.11/1.38 (step @p186 :rule implies_elim :premises (@p184)) % 1.11/1.38 (step @p187 :rule eq_resolve :premises (@p186 @p181)) % 1.11/1.38 (step @p188 :rule bool-double-not-elim :args (@t111)) % 1.11/1.38 (step @p189 :rule refl :args (@t113)) % 1.11/1.38 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or @t113 (not @t112)))) % 1.11/1.38 (step @p191 :rule cnf_or_neg :args (@t113 0)) % 1.11/1.38 (step @p192 :rule eq_resolve :premises (@p191 @p190)) % 1.11/1.38 (step @p193 :rule reordering :premises (@p192) :args ((or @t111 @t113))) % 1.11/1.38 (step @p194 :rule cnf_or_neg :args (@t113 1)) % 1.11/1.38 (step @p195 :rule cnf_and_pos :args (@t116 1)) % 1.11/1.38 (step @p196 :rule reordering :premises (@p195) :args ((or @t110 (not @t116)))) % 1.11/1.38 (step @p197 :rule eq-symm :args (@t117 @t68)) % 1.11/1.38 (step @p198 :rule beta-reduce :args ((= @t118 @t68))) % 1.11/1.38 (step @p199 :rule refl :args (@t117)) % 1.11/1.38 (step @p200 :rule cong :premises (@p199 @p198) :args (@t119)) % 1.11/1.38 (step @p201 :rule trans :premises (@p200 @p197)) % 1.11/1.38 (step @p202 :rule cong :premises (@p201) :args (@t120)) % 1.11/1.38 (step @p203 :rule quant-unused-vars :args ((= (forall @t6 true) true))) % 1.11/1.38 (step @p204 :rule eq-refl :args (@t118)) % 1.11/1.38 (step @p205 :rule cong :premises (@p204) :args ((forall @t6 (= @t118 @t118)))) % 1.11/1.38 (step @p206 :rule trans :premises (@p205 @p203)) % 1.11/1.38 (step @p207 :rule refl :args (@t118)) % 1.11/1.38 (step @p208 :rule refl :args (@t1)) % 1.11/1.38 (step @p209 :rule ho_cong :premises (@p97 @p208)) % 1.11/1.38 (step @p210 :rule cong :premises (@p209 @p207) :args (@t119)) % 1.11/1.38 (step @p211 :rule cong :premises (@p210) :args (@t120)) % 1.11/1.38 (step @p212 :rule trans :premises (@p211 @p206)) % 1.11/1.38 (step @p213 :rule true_elim :premises (@p212)) % 1.11/1.38 (step @p214 :rule eq_resolve :premises (@p213 @p202)) % 1.11/1.38 (step @p215 :rule instantiate :premises (@p214) :args ((@list @t109))) % 1.11/1.38 (step @p216 :rule cnf_equiv_pos2 :args (@t122)) % 1.11/1.38 (step @p217 :rule reordering :premises (@p216) :args ((or @t116 (not @t121) (not @t122)))) % 1.11/1.38 (assume-push @p408 @t72) % 1.11/1.38 (assume-push @p409 @t111) % 1.11/1.38 (assume-push @p410 @t111) % 1.11/1.38 (assume-push @p411 @t72) % 1.11/1.38 (step @p222 :rule true_intro :premises (@p409)) % 1.11/1.38 (step @p223 :rule refl :args (@t109)) % 1.11/1.38 (step @p224 :rule symm :premises (@p408)) % 1.11/1.38 (step @p225 :rule ho_cong :premises (@p224 @p223)) % 1.11/1.38 (step @p226 :rule trans :premises (@p225 @p222)) % 1.11/1.38 (step @p227 :rule true_elim :premises (@p226)) % 1.11/1.38 (step-pop @p412 :rule scope :premises (@p227)) % 1.11/1.38 (step-pop @p413 :rule scope :premises (@p412)) % 1.11/1.38 (step @p228 :rule process_scope :premises (@p413) :args (@t121)) % 1.11/1.38 (step @p231 :rule and_intro :premises (@p409 @p408)) % 1.11/1.38 (step @p232 :rule modus_ponens :premises (@p231 @p228)) % 1.11/1.38 (step-pop @p414 :rule scope :premises (@p232)) % 1.11/1.38 (step-pop @p415 :rule scope :premises (@p414)) % 1.11/1.38 (step @p233 :rule process_scope :premises (@p415) :args (@t121)) % 1.11/1.38 (step @p236 :rule implies_elim :premises (@p233)) % 1.11/1.38 (step @p237 :rule cnf_and_neg :args (@t123)) % 1.11/1.38 (step @p238 :rule resolution :premises (@p237 @p236) :args (true @t123)) % 1.11/1.38 (step @p239 :rule chain_m_resolution :premises (@p238 @p217 @p215 @p196 @p194 @p193 @p129 @p116 @p187 @p178) :args (@t75 (@list true false true true false false true true true) (@list @t121 @t122 @t116 @t110 @t111 @t72 @t78 @t113 @t77))) % 1.11/1.38 (assume-push @p416 @t76) % 1.11/1.38 (step @p241 :rule instantiate :premises (@p416) :args (@t125)) % 1.11/1.38 (step-pop @p417 :rule scope :premises (@p241)) % 1.11/1.38 (step @p242 :rule process_scope :premises (@p417) :args (@t129)) % 1.11/1.38 (step @p244 :rule implies_elim :premises (@p242)) % 1.11/1.38 (assume-push @p418 @t75) % 1.11/1.38 (step @p246 :rule instantiate :premises (@p418) :args (@t125)) % 1.11/1.38 (step-pop @p419 :rule scope :premises (@p246)) % 1.11/1.38 (step @p247 :rule process_scope :premises (@p419) :args (@t131)) % 1.11/1.38 (step @p249 :rule implies_elim :premises (@p247)) % 1.11/1.38 (step @p250 :rule cnf_and_neg :args (@t77)) % 1.11/1.38 (step @p251 :rule cnf_equiv_neg2 :args (@t78)) % 1.11/1.38 (step @p252 :rule eq-refl :args (@t132)) % 1.11/1.38 (step @p253 :rule beta-reduce :args ((= @t133 @t132))) % 1.11/1.38 (step @p254 :rule refl :args (@t132)) % 1.11/1.38 (step @p255 :rule cong :premises (@p254 @p253) :args ((= @t132 @t133))) % 1.11/1.38 (step @p256 :rule trans :premises (@p255 @p252)) % 1.11/1.38 (step @p257 :rule eq-symm :args (@t133 @t132)) % 1.11/1.38 (step @p258 :rule trans :premises (@p257 @p256)) % 1.11/1.38 (step @p259 :rule refl :args (@t124)) % 1.11/1.38 (step @p260 :rule ho_cong :premises (@p97 @p259)) % 1.11/1.38 (step @p261 :rule cong :premises (@p260 @p254) :args ((= @t134 @t132))) % 1.11/1.38 (step @p262 :rule trans :premises (@p261 @p258)) % 1.11/1.38 (step @p263 :rule true_elim :premises (@p262)) % 1.11/1.38 (step @p264 :rule refl :args (@t127)) % 1.11/1.38 (step @p265 :rule cong :premises (@p264 @p263) :args (@t135)) % 1.11/1.38 (step @p266 :rule cong :premises (@p265) :args (@t136)) % 1.11/1.38 (step @p267 :rule nary_cong :premises (@p154 @p266) :args (@t137)) % 1.11/1.38 ; trust TRUST THEORY_LEMMA % 1.11/1.38 (step @p268 :rule trust :premises () :args (@t137)) % 1.11/1.38 (step @p269 :rule eq_resolve :premises (@p268 @p267)) % 1.11/1.38 (step @p270 :rule cnf_equiv_neg2 :args (@t138)) % 1.11/1.38 (step @p271 :rule cnf_or_pos :args (@t129)) % 1.11/1.38 (step @p272 :rule reordering :premises (@p271) :args ((or @t126 @t128 @t139))) % 1.11/1.38 (step @p273 :rule cnf_or_pos :args (@t131)) % 1.11/1.38 (step @p274 :rule reordering :premises (@p273) :args ((or @t130 @t128 @t140))) % 1.11/1.38 (step @p275 :rule cnf_and_neg :args (@t132)) % 1.11/1.38 (step @p276 :rule chain_m_resolution :premises (@p275 @p274 @p272 @p270) :args ((or @t138 @t128 @t139 @t140) (@list false false true) (@list @t130 @t126 @t132))) % 1.11/1.38 (step @p277 :rule cnf_equiv_neg1 :args (@t138)) % 1.11/1.38 (step @p278 :rule reordering :premises (@p277) :args ((or @t127 @t132 @t138))) % 1.11/1.38 (step @p279 :rule cnf_and_pos :args (@t132 0)) % 1.11/1.38 (step @p280 :rule reordering :premises (@p279) :args ((or @t126 @t141))) % 1.11/1.38 (step @p281 :rule cnf_and_pos :args (@t132 1)) % 1.11/1.38 (step @p282 :rule reordering :premises (@p281) :args ((or @t130 @t141))) % 1.11/1.38 (step @p283 :rule cnf_or_pos :args (@t144)) % 1.11/1.38 (step @p284 :rule reordering :premises (@p283) :args ((or @t127 @t143 @t142 (not @t144)))) % 1.11/1.38 (step @p285 :rule aci_norm :args ((= (or @t143 @t142 false @t127) @t144))) % 1.11/1.38 (step @p286 :rule evaluate :args ((not true))) % 1.11/1.38 (step @p287 :rule eq-refl :args (@t124)) % 1.11/1.38 (step @p288 :rule beta-reduce :args ((= @t148 @t145))) % 1.11/1.38 (step @p289 :rule trans :premises (@p288 @p287)) % 1.11/1.38 (step @p290 :rule cong :premises (@p289) :args (@t149)) % 1.11/1.38 (step @p291 :rule trans :premises (@p290 @p286)) % 1.11/1.38 (step @p292 :rule aci_norm :args ((= (or false @t130) @t130))) % 1.11/1.38 (step @p293 :rule refl :args (@t130)) % 1.11/1.38 (step @p294 :rule cong :premises (@p287) :args (@t150)) % 1.11/1.38 (step @p295 :rule trans :premises (@p294 @p286)) % 1.11/1.38 (step @p296 :rule nary_cong :premises (@p295 @p293) :args (@t151)) % 1.11/1.38 (step @p297 :rule trans :premises (@p296 @p292)) % 1.11/1.38 (step @p298 :rule quant-var-elim-eq :args ((= (forall @t6 @t154) @t151))) % 1.11/1.38 (step @p299 :rule aci_norm :args ((= @t155 @t154))) % 1.11/1.38 (step @p300 :rule cong :premises (@p299) :args ((forall @t6 @t155))) % 1.11/1.38 (step @p301 :rule trans :premises (@p300 @p298)) % 1.11/1.38 (step @p302 :rule trans :premises (@p301 @p297)) % 1.11/1.38 (step @p303 :rule refl :args (@t65)) % 1.11/1.38 (step @p304 :rule beta-reduce :args ((= @t156 @t152))) % 1.11/1.38 (step @p305 :rule cong :premises (@p304) :args (@t157)) % 1.11/1.38 (step @p306 :rule nary_cong :premises (@p305 @p303) :args (@t158)) % 1.11/1.38 (step @p307 :rule cong :premises (@p306) :args (@t159)) % 1.11/1.38 (step @p308 :rule trans :premises (@p307 @p302)) % 1.11/1.38 (step @p309 :rule cong :premises (@p308) :args (@t160)) % 1.11/1.38 (step @p310 :rule aci_norm :args ((= (or false @t126) @t126))) % 1.11/1.38 (step @p311 :rule refl :args (@t126)) % 1.11/1.38 (step @p312 :rule nary_cong :premises (@p295 @p311) :args (@t161)) % 1.11/1.38 (step @p313 :rule trans :premises (@p312 @p310)) % 1.11/1.38 (step @p314 :rule quant-var-elim-eq :args ((= (forall @t6 @t162) @t161))) % 1.11/1.38 (step @p315 :rule aci_norm :args ((= @t163 @t162))) % 1.11/1.38 (step @p316 :rule cong :premises (@p315) :args ((forall @t6 @t163))) % 1.11/1.38 (step @p317 :rule trans :premises (@p316 @p314)) % 1.11/1.38 (step @p318 :rule trans :premises (@p317 @p313)) % 1.11/1.38 (step @p319 :rule refl :args (@t67)) % 1.11/1.38 (step @p320 :rule nary_cong :premises (@p305 @p319) :args (@t164)) % 1.11/1.38 (step @p321 :rule cong :premises (@p320) :args (@t165)) % 1.11/1.38 (step @p322 :rule trans :premises (@p321 @p318)) % 1.11/1.38 (step @p323 :rule cong :premises (@p322) :args (@t166)) % 1.11/1.38 (step @p324 :rule nary_cong :premises (@p323 @p309 @p291 @p264) :args (@t167)) % 1.11/1.38 (step @p325 :rule trans :premises (@p324 @p285)) % 1.11/1.38 (step @p326 :rule refl :args (@t73)) % 1.11/1.38 (step @p327 :rule cong :premises (@p326 @p325) :args ((=> @t73 @t167))) % 1.11/1.38 (assume-push @p420 @t73) % 1.11/1.38 (step @p329 :rule instantiate :premises (@p420) :args ((@list @t147 @t124))) % 1.11/1.38 (step-pop @p421 :rule scope :premises (@p329)) % 1.11/1.38 (step @p330 :rule process_scope :premises (@p421) :args (@t167)) % 1.11/1.38 (step @p332 :rule eq_resolve :premises (@p330 @p327)) % 1.11/1.38 (step @p333 :rule implies_elim :premises (@p332)) % 1.11/1.38 (step @p334 :rule chain_m_resolution :premises (@p333 @p284 @p282 @p280 @p278 @p276 @p269 @p251 @p116 @p250 @p249 @p244) :args ((or @t168 @t115 @t98) (@list true false false false true true true true false false false) (@list @t144 @t130 @t126 @t132 @t127 @t138 @t72 @t78 @t77 @t131 @t129))) % 1.11/1.38 (step @p335 :rule chain_m_resolution :premises (@p334 @p239 @p176) :args (@t168 (@list false false) (@list @t75 @t73))) % 1.11/1.38 (step @p336 :rule cnf_and_pos :args (@t77 0)) % 1.11/1.38 (step @p337 :rule reordering :premises (@p336) :args ((or @t76 @t85))) % 1.11/1.38 (step @p338 :rule chain_m_resolution :premises (@p337 @p335) :args (@t85 @t84 @t169)) % 1.11/1.38 (step @p339 :rule chain_m_resolution :premises (@p129 @p338 @p116) :args (@t72 (@list true true) (@list @t77 @t78))) % 1.11/1.38 (step @p340 :rule refl :args (@t175)) % 1.11/1.38 (step @p341 :rule bool-double-not-elim :args (@t76)) % 1.11/1.38 (step @p342 :rule nary_cong :premises (@p341 @p340) :args ((or (not @t168) @t175))) % 1.11/1.38 (assume-push @p422 @t168) % 1.11/1.38 (step @p344 :rule skolemize :premises (@p422)) % 1.11/1.38 (step-pop @p423 :rule scope :premises (@p344)) % 1.11/1.38 (step @p345 :rule process_scope :premises (@p423) :args (@t175)) % 1.11/1.38 (step @p347 :rule implies_elim :premises (@p345)) % 1.11/1.38 (step @p348 :rule eq_resolve :premises (@p347 @p342)) % 1.11/1.38 (step @p349 :rule chain_m_resolution :premises (@p348 @p335) :args (@t175 @t84 @t169)) % 1.11/1.38 (step @p350 :rule bool-double-not-elim :args (@t172)) % 1.11/1.38 (step @p351 :rule refl :args (@t174)) % 1.11/1.38 (step @p352 :rule nary_cong :premises (@p351 @p350) :args ((or @t174 (not @t173)))) % 1.11/1.38 (step @p353 :rule cnf_or_neg :args (@t174 0)) % 1.11/1.38 (step @p354 :rule eq_resolve :premises (@p353 @p352)) % 1.11/1.38 (step @p355 :rule reordering :premises (@p354) :args ((or @t172 @t174))) % 1.11/1.38 (step @p356 :rule chain_m_resolution :premises (@p355 @p349) :args (@t172 @t84 @t176)) % 1.11/1.38 (step @p357 :rule instantiate :premises (@p214) :args ((@list @t170))) % 1.11/1.38 (step @p358 :rule cnf_or_neg :args (@t174 1)) % 1.11/1.38 (step @p359 :rule chain_m_resolution :premises (@p358 @p349) :args ((not @t171) @t84 @t176)) % 1.11/1.38 (step @p360 :rule cnf_and_pos :args (@t177 0)) % 1.11/1.38 (step @p361 :rule reordering :premises (@p360) :args ((or @t171 @t178))) % 1.11/1.38 (step @p362 :rule chain_m_resolution :premises (@p361 @p359) :args (@t178 @t84 (@list @t171))) % 1.11/1.38 (step @p363 :rule cnf_equiv_pos2 :args (@t180)) % 1.11/1.38 (step @p364 :rule reordering :premises (@p363) :args ((or @t177 @t181 (not @t180)))) % 1.11/1.38 (step @p365 :rule chain_m_resolution :premises (@p364 @p362 @p357) :args (@t181 (@list true false) (@list @t177 @t180))) % 1.11/1.38 (step @p366 :rule bool-double-not-elim :args (@t179)) % 1.11/1.38 (step @p367 :rule refl :args (@t173)) % 1.11/1.38 (step @p368 :rule refl :args (@t182)) % 1.11/1.38 (step @p369 :rule nary_cong :premises (@p368 @p367 @p366) :args ((or @t182 @t173 (not @t181)))) % 1.11/1.38 (assume-push @p424 @t181) % 1.11/1.38 (assume-push @p425 @t72) % 1.11/1.38 (assume-push @p426 @t172) % 1.11/1.38 (step @p373 :rule evaluate :args ((= true false))) % 1.11/1.38 (step @p374 :rule false_intro :premises (@p424)) % 1.11/1.38 (step @p375 :rule refl :args (@t170)) % 1.11/1.38 (step @p376 :rule ho_cong :premises (@p425 @p375)) % 1.11/1.38 (step @p377 :rule true_intro :premises (@p426)) % 1.11/1.38 (step @p378 :rule symm :premises (@p377)) % 1.11/1.38 (step @p379 :rule trans :premises (@p378 @p376 @p374)) % 1.11/1.38 (step @p380 false :rule eq_resolve :premises (@p379 @p373)) % 1.11/1.38 (step-pop @p427 :rule scope :premises (@p380)) % 1.11/1.38 (step-pop @p428 :rule scope :premises (@p427)) % 1.11/1.38 (step-pop @p429 :rule scope :premises (@p428)) % 1.11/1.38 (step @p381 :rule process_scope :premises (@p429) :args (false)) % 1.11/1.38 (assume-push @p430 @t72) % 1.11/1.38 (assume-push @p431 @t172) % 1.11/1.38 (assume-push @p432 @t181) % 1.11/1.38 (step @p388 :rule and_intro :premises (@p432 @p430 @p431)) % 1.11/1.38 (step-pop @p433 :rule scope :premises (@p388)) % 1.11/1.38 (step-pop @p434 :rule scope :premises (@p433)) % 1.11/1.38 (step-pop @p435 :rule scope :premises (@p434)) % 1.11/1.38 (step @p389 :rule process_scope :premises (@p435) :args (@t183)) % 1.11/1.38 (step @p393 :rule implies_elim :premises (@p389)) % 1.11/1.38 (step @p394 :rule resolution :premises (@p393 @p381) :args (true @t183)) % 1.11/1.38 (step @p395 :rule not_and :premises (@p394)) % 1.11/1.38 (step @p396 :rule eq_resolve :premises (@p395 @p369)) % 1.11/1.38 (step @p397 false :rule chain_m_resolution :premises (@p396 @p365 @p356 @p339) :args (false (@list true false false) (@list @t179 @t172 @t72))) % 1.11/1.38 ) % 1.11/1.38 % SZS output end Proof % 1.11/1.39 % cvc5 exiting %------------------------------------------------------------------------------