%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM636^1 : TPTP v9.2.1. Released v3.7.0. % 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 08:40:06 AM UTC 2026 % Result : Theorem 94.93s 95.29s % Output : Proof 94.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM636^1 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n006.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 11:39:04 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.49 %----Proving TH0 % 94.93/95.29 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 94.93/95.29 --- 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... % 94.93/95.29 % SZS status Theorem % 94.93/95.29 % SZS output start Proof % 94.93/95.29 ( % 94.93/95.29 (declare-sort tptp.nat 0) % 94.93/95.29 (declare-sort tptp.set 0) % 94.93/95.29 (declare-const tptp.x tptp.nat) % 94.93/95.29 (declare-const tptp.n_1 tptp.nat) % 94.93/95.29 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 94.93/95.29 (declare-const tptp.esti (-> tptp.nat tptp.set Bool)) % 94.93/95.29 (declare-const tptp.setof (-> (-> tptp.nat Bool) tptp.set)) % 94.93/95.29 (define @t1 () (@var "Xs" tptp.nat)) % 94.93/95.29 (define @t2 () (@var "Xp" (-> tptp.nat Bool))) % 94.93/95.29 (define @t3 () (_ @t2 @t1)) % 94.93/95.29 (define @t4 () (_ tptp.setof @t2)) % 94.93/95.29 (define @t5 () (_ tptp.esti @t1)) % 94.93/95.29 (define @t6 () (_ @t5 @t4)) % 94.93/95.29 (define @t7 () (@list @t2 @t1)) % 94.93/95.29 (define @t8 () (forall @t7 (=> @t6 @t3))) % 94.93/95.29 (define @t9 () (@var "Xs" tptp.set)) % 94.93/95.29 (define @t10 () (@var "Xx" tptp.nat)) % 94.93/95.29 (define @t11 () (_ (_ tptp.esti @t10) @t9)) % 94.93/95.29 (define @t12 () (@list @t10)) % 94.93/95.29 (define @t13 () (forall @t12 @t11)) % 94.93/95.29 (define @t14 () (_ tptp.suc @t10)) % 94.93/95.29 (define @t15 () (_ (_ tptp.esti @t14) @t9)) % 94.93/95.29 (define @t16 () (forall @t12 (=> @t11 @t15))) % 94.93/95.29 (define @t17 () (=> @t16 @t13)) % 94.93/95.29 (define @t18 () (_ (_ tptp.esti tptp.n_1) @t9)) % 94.93/95.29 (define @t19 () (=> @t18 @t17)) % 94.93/95.29 (define @t20 () (@list @t9)) % 94.93/95.29 (define @t21 () (forall @t20 @t19)) % 94.93/95.29 (define @t22 () (forall @t7 (=> @t3 @t6))) % 94.93/95.29 (define @t23 () (not (= @t14 tptp.n_1))) % 94.93/95.29 (define @t24 () (forall @t12 @t23)) % 94.93/95.29 (define @t25 () (@var "Xy" tptp.nat)) % 94.93/95.29 (define @t26 () (_ tptp.suc @t25)) % 94.93/95.29 (define @t27 () (= @t14 @t26)) % 94.93/95.29 (define @t28 () (not @t27)) % 94.93/95.29 (define @t29 () (= @t10 @t25)) % 94.93/95.29 (define @t30 () (not @t29)) % 94.93/95.29 (define @t31 () (@list @t10 @t25)) % 94.93/95.29 (define @t32 () (forall @t31 (=> @t30 @t28))) % 94.93/95.29 (define @t33 () (_ tptp.suc tptp.x)) % 94.93/95.29 (define @t34 () (= @t33 tptp.x)) % 94.93/95.29 (define @t35 () (@var "BOUND_VARIABLE_7497" tptp.nat)) % 94.93/95.29 (define @t36 () (tptp.esti @t35 @t9)) % 94.93/95.29 (define @t37 () (tptp.suc @t10)) % 94.93/95.29 (define @t38 () (tptp.esti @t37 @t9)) % 94.93/95.29 (define @t39 () (tptp.esti @t10 @t9)) % 94.93/95.29 (define @t40 () (forall @t12 (or (not @t39) @t38))) % 94.93/95.29 (define @t41 () (not @t40)) % 94.93/95.29 (define @t42 () (tptp.esti tptp.n_1 @t9)) % 94.93/95.29 (define @t43 () (not @t42)) % 94.93/95.29 (define @t44 () (or @t43 @t41 @t36)) % 94.93/95.29 (define @t45 () (@list @t35)) % 94.93/95.29 (define @t46 () (forall @t45 @t44)) % 94.93/95.29 (define @t47 () (forall @t45 @t36)) % 94.93/95.29 (define @t48 () (or @t43 @t41 @t47)) % 94.93/95.29 (define @t49 () (forall @t12 @t39)) % 94.93/95.29 (define @t50 () (not @t18)) % 94.93/95.29 (define @t51 () (or @t50 @t41 @t49)) % 94.93/95.29 (define @t52 () (=> @t40 @t49)) % 94.93/95.29 (define @t53 () (not @t11)) % 94.93/95.29 (define @t54 () (or @t53 @t15)) % 94.93/95.29 (define @t55 () (@var "BOUND_VARIABLE_45688" tptp.nat)) % 94.93/95.29 (define @t56 () (@list @t55)) % 94.93/95.29 (define @t57 () (lambda @t56 (= tptp.n_1 @t55))) % 94.93/95.29 (define @t58 () (@purify @t57)) % 94.93/95.29 (define @t59 () (tptp.setof @t58)) % 94.93/95.29 (define @t60 () (forall @t12 (or (not (tptp.esti @t10 @t59)) (tptp.esti @t37 @t59)))) % 94.93/95.29 (define @t61 () (@quantifiers_skolemize @t60 0)) % 94.93/95.29 (define @t62 () (tptp.suc @t61)) % 94.93/95.29 (define @t63 () (@var "BOUND_VARIABLE_14786" tptp.nat)) % 94.93/95.29 (define @t64 () (@list @t63)) % 94.93/95.29 (define @t65 () (lambda @t64 (= tptp.n_1 @t63))) % 94.93/95.29 (define @t66 () (@purify @t65)) % 94.93/95.29 (define @t67 () (tptp.setof @t66)) % 94.93/95.29 (define @t68 () (_ @t2 @t1)) % 94.93/95.29 (define @t69 () (tptp.setof @t2)) % 94.93/95.29 (define @t70 () (tptp.esti @t1 @t69)) % 94.93/95.29 (define @t71 () (not @t6)) % 94.93/95.29 (define @t72 () (or @t71 @t3)) % 94.93/95.29 (define @t73 () (forall @t12 (or (not (tptp.esti @t10 @t67)) (tptp.esti @t37 @t67)))) % 94.93/95.29 (define @t74 () (@quantifiers_skolemize @t73 0)) % 94.93/95.29 (define @t75 () (= tptp.n_1 @t74)) % 94.93/95.29 (define @t76 () (_ @t65 @t74)) % 94.93/95.29 (define @t77 () (_ @t66 @t74)) % 94.93/95.29 (define @t78 () (tptp.esti @t74 @t67)) % 94.93/95.29 (define @t79 () (not @t78)) % 94.93/95.29 (define @t80 () (or @t79 @t77)) % 94.93/95.29 (define @t81 () (forall @t7 (or (not @t70) @t68))) % 94.93/95.29 (define @t82 () (or @t79 @t75)) % 94.93/95.29 (define @t83 () (@list false)) % 94.93/95.29 (define @t84 () (@list @t81)) % 94.93/95.29 (define @t85 () (tptp.suc tptp.x)) % 94.93/95.29 (define @t86 () (lambda @t64 (not (= tptp.x @t63)))) % 94.93/95.29 (define @t87 () (@purify @t86)) % 94.93/95.29 (define @t88 () (tptp.setof @t87)) % 94.93/95.29 (define @t89 () (= tptp.x @t85)) % 94.93/95.29 (define @t90 () (not @t89)) % 94.93/95.29 (define @t91 () (_ @t86 @t85)) % 94.93/95.29 (define @t92 () (_ @t87 @t85)) % 94.93/95.29 (define @t93 () (tptp.esti @t85 @t88)) % 94.93/95.29 (define @t94 () (not @t93)) % 94.93/95.29 (define @t95 () (or @t94 @t92)) % 94.93/95.29 (define @t96 () (or @t94 @t90)) % 94.93/95.29 (define @t97 () (forall @t12 (or (not (tptp.esti @t10 @t88)) (tptp.esti @t37 @t88)))) % 94.93/95.29 (define @t98 () (@quantifiers_skolemize @t97 0)) % 94.93/95.29 (define @t99 () (tptp.esti @t98 @t88)) % 94.93/95.29 (define @t100 () (tptp.suc @t98)) % 94.93/95.29 (define @t101 () (tptp.esti @t100 @t88)) % 94.93/95.29 (define @t102 () (not @t99)) % 94.93/95.29 (define @t103 () (or @t102 @t101)) % 94.93/95.29 (define @t104 () (= tptp.x @t98)) % 94.93/95.29 (define @t105 () (not @t104)) % 94.93/95.29 (define @t106 () (_ @t86 @t98)) % 94.93/95.29 (define @t107 () (_ @t87 @t98)) % 94.93/95.29 (define @t108 () (or @t102 @t107)) % 94.93/95.29 (define @t109 () (or @t102 @t105)) % 94.93/95.29 (define @t110 () (not @t3)) % 94.93/95.29 (define @t111 () (or @t110 @t6)) % 94.93/95.29 (define @t112 () (= tptp.x @t100)) % 94.93/95.29 (define @t113 () (not @t112)) % 94.93/95.29 (define @t114 () (_ @t86 @t100)) % 94.93/95.29 (define @t115 () (_ @t87 @t100)) % 94.93/95.29 (define @t116 () (not @t115)) % 94.93/95.29 (define @t117 () (or @t116 @t101)) % 94.93/95.29 (define @t118 () (forall @t7 (or (not @t68) @t70))) % 94.93/95.29 (define @t119 () (or @t112 @t101)) % 94.93/95.29 (define @t120 () (@list @t118)) % 94.93/95.29 (define @t121 () (tptp.suc @t25)) % 94.93/95.29 (define @t122 () (or @t29 @t28)) % 94.93/95.29 (define @t123 () (= @t85 @t100)) % 94.93/95.29 (define @t124 () (not @t123)) % 94.93/95.29 (define @t125 () (or @t104 @t124)) % 94.93/95.29 (define @t126 () (and @t89 @t112)) % 94.93/95.29 (define @t127 () (not @t103)) % 94.93/95.29 (define @t128 () (not @t97)) % 94.93/95.29 (define @t129 () (tptp.esti tptp.n_1 @t88)) % 94.93/95.29 (define @t130 () (not @t129)) % 94.93/95.29 (define @t131 () (or @t130 @t128 @t93)) % 94.93/95.29 (define @t132 () (tptp.esti @t74 @t88)) % 94.93/95.29 (define @t133 () (and @t75 @t132)) % 94.93/95.29 (define @t134 () (tptp.setof @t86)) % 94.93/95.29 (define @t135 () (tptp.esti @t74 @t134)) % 94.93/95.29 (define @t136 () (= tptp.x @t74)) % 94.93/95.29 (define @t137 () (or @t136 @t135)) % 94.93/95.29 (define @t138 () (not @t136)) % 94.93/95.29 (define @t139 () (_ @t86 @t74)) % 94.93/95.29 (define @t140 () (not @t139)) % 94.93/95.29 (define @t141 () (or @t140 @t135)) % 94.93/95.29 (define @t142 () (or @t136 @t132)) % 94.93/95.29 (define @t143 () (= tptp.n_1 @t14)) % 94.93/95.29 (define @t144 () (not @t143)) % 94.93/95.29 (define @t145 () (not @t75)) % 94.93/95.29 (define @t146 () (= tptp.n_1 @t85)) % 94.93/95.29 (define @t147 () (not @t146)) % 94.93/95.29 (define @t148 () (and @t89 @t136 @t75 @t147)) % 94.93/95.29 (define @t149 () (@list true false)) % 94.93/95.29 (define @t150 () (or @t79 (tptp.esti (tptp.suc @t74) @t67))) % 94.93/95.29 (define @t151 () (@list true)) % 94.93/95.29 (define @t152 () (not @t150)) % 94.93/95.29 (define @t153 () (not @t73)) % 94.93/95.29 (define @t154 () (tptp.setof @t65)) % 94.93/95.29 (define @t155 () (tptp.esti tptp.n_1 @t154)) % 94.93/95.29 (define @t156 () (lambda @t64 (= @t63 tptp.n_1))) % 94.93/95.29 (define @t157 () (tptp.setof @t156)) % 94.93/95.29 (define @t158 () (tptp.esti tptp.n_1 @t157)) % 94.93/95.29 (define @t159 () (_ @t156 tptp.n_1)) % 94.93/95.29 (define @t160 () (not @t159)) % 94.93/95.29 (define @t161 () (or @t160 @t158)) % 94.93/95.29 (define @t162 () (tptp.esti tptp.n_1 @t67)) % 94.93/95.29 (define @t163 () (tptp.esti @t62 @t67)) % 94.93/95.29 (define @t164 () (not @t162)) % 94.93/95.29 (define @t165 () (or @t164 @t153 @t163)) % 94.93/95.29 (define @t166 () (= @t58 @t66)) % 94.93/95.29 (define @t167 () (= (or @t166 false) @t166)) % 94.93/95.29 (define @t168 () (@const 0 tptp.nat)) % 94.93/95.29 (define @t169 () (= tptp.n_1 @t168)) % 94.93/95.29 (define @t170 () (= (_ @t65 @t168) @t169)) % 94.93/95.29 (define @t171 () (_ @t66 @t168)) % 94.93/95.29 (define @t172 () (= @t171 @t169)) % 94.93/95.29 (define @t173 () (_ @t57 @t168)) % 94.93/95.29 (define @t174 () (= @t173 @t169)) % 94.93/95.29 (define @t175 () (= @t169 @t173)) % 94.93/95.29 (define @t176 () (_ @t58 @t168)) % 94.93/95.29 (define @t177 () (= @t176 @t169)) % 94.93/95.29 (define @t178 () (= @t176 @t171)) % 94.93/95.29 (define @t179 () (not @t178)) % 94.93/95.29 (define @t180 () (or @t166 @t179)) % 94.93/95.29 (define @t181 () (tptp.esti @t62 @t59)) % 94.93/95.29 (define @t182 () (and @t166 @t163)) % 94.93/95.29 (define @t183 () (not @t166)) % 94.93/95.29 (define @t184 () (tptp.esti tptp.n_1 @t59)) % 94.93/95.29 (define @t185 () (and @t162 @t166)) % 94.93/95.29 (define @t186 () (or (not (tptp.esti @t61 @t59)) @t181)) % 94.93/95.29 (define @t187 () (tptp.setof @t57)) % 94.93/95.29 (define @t188 () (tptp.esti @t85 @t187)) % 94.93/95.29 (define @t189 () (not @t188)) % 94.93/95.29 (define @t190 () (or @t189 @t146)) % 94.93/95.29 (define @t191 () (lambda @t56 (= @t55 tptp.n_1))) % 94.93/95.29 (define @t192 () (_ @t191 @t85)) % 94.93/95.29 (define @t193 () (tptp.setof @t191)) % 94.93/95.29 (define @t194 () (tptp.esti @t85 @t193)) % 94.93/95.29 (define @t195 () (not @t194)) % 94.93/95.29 (define @t196 () (or @t195 @t192)) % 94.93/95.29 (define @t197 () (tptp.esti @t85 @t59)) % 94.93/95.29 (define @t198 () (not @t197)) % 94.93/95.29 (define @t199 () (or @t198 @t146)) % 94.93/95.29 (define @t200 () (not @t60)) % 94.93/95.29 (define @t201 () (not @t184)) % 94.93/95.29 (define @t202 () (or @t201 @t200 @t197)) % 94.93/95.29 (define @t203 () (not @t186)) % 94.93/95.29 (assume @p1 @t8) % 94.93/95.29 (assume @p2 @t21) % 94.93/95.29 (assume @p3 @t22) % 94.93/95.29 (assume @p4 @t24) % 94.93/95.29 (assume @p5 @t32) % 94.93/95.29 (assume @p6 (not (not @t34))) % 94.93/95.29 (assume @p7 true) % 94.93/95.29 (step @p8 :rule quant-merge-prenex :args ((= (forall @t20 @t46) (forall (@list @t9 @t35) @t44)))) % 94.93/95.29 (step @p9 :rule alpha_equiv :args (@t47 (@list @t35) (@list @t10))) % 94.93/95.29 (step @p10 :rule refl :args (@t41)) % 94.93/95.29 (step @p11 :rule refl :args (@t43)) % 94.93/95.29 (step @p12 :rule nary_cong :premises (@p11 @p10 @p9) :args (@t48)) % 94.93/95.29 (step @p13 :rule quant-miniscope-or :args ((= @t46 @t48))) % 94.93/95.29 (step @p14 :rule trans :premises (@p13 @p12)) % 94.93/95.29 (step @p15 :rule symm :premises (@p14)) % 94.93/95.29 (step @p16 :rule cong :premises (@p15) :args ((forall @t20 (or @t43 @t41 @t49)))) % 94.93/95.29 (step @p17 :rule trans :premises (@p16 @p8)) % 94.93/95.29 (step @p18 :rule refl :args (@t49)) % 94.93/95.29 (step @p19 :rule refl :args (@t42)) % 94.93/95.29 (step @p20 :rule refl :args (@t18)) % 94.93/95.29 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t18 @t42))) % 94.93/95.29 (step @p22 :rule symm :premises (@p21)) % 94.93/95.29 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 94.93/95.29 (step @p24 :rule cong :premises (@p23) :args (@t50)) % 94.93/95.29 (step @p25 :rule nary_cong :premises (@p24 @p10 @p18) :args (@t51)) % 94.93/95.29 (step @p26 :rule cong :premises (@p25) :args ((forall @t20 @t51))) % 94.93/95.29 (step @p27 :rule trans :premises (@p26 @p17)) % 94.93/95.29 (step @p28 :rule aci_norm :args ((= (or @t50 (or @t41 @t49)) @t51))) % 94.93/95.29 (step @p29 :rule bool-impl-elim :args (@t40 @t49)) % 94.93/95.29 (step @p30 :rule refl :args (@t50)) % 94.93/95.29 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t50 @t52))) % 94.93/95.29 (step @p32 :rule trans :premises (@p31 @p28)) % 94.93/95.29 (step @p33 :rule bool-impl-elim :args (@t18 @t52)) % 94.93/95.29 (step @p34 :rule trans :premises (@p33 @p32)) % 94.93/95.29 (step @p35 :rule cong :premises (@p34) :args ((forall @t20 (=> @t18 @t52)))) % 94.93/95.29 (step @p36 :rule trans :premises (@p35 @p27)) % 94.93/95.29 (step @p37 :rule refl :args (@t39)) % 94.93/95.29 (step @p38 :rule refl :args (@t11)) % 94.93/95.29 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t11 @t39))) % 94.93/95.29 (step @p40 :rule symm :premises (@p39)) % 94.93/95.29 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 94.93/95.29 (step @p42 :rule cong :premises (@p41) :args (@t13)) % 94.93/95.29 (step @p43 :rule refl :args ((tptp.esti @t14 @t9))) % 94.93/95.29 (step @p44 :rule refl :args (@t9)) % 94.93/95.29 (step @p45 :rule refl :args (@t37)) % 94.93/95.29 (step @p46 :rule cong :premises (@p45 @p44) :args (@t38)) % 94.93/95.29 (step @p47 :rule trans :premises (@p46 @p43)) % 94.93/95.29 (step @p48 :rule refl :args (tptp.esti)) % 94.93/95.29 (step @p49 :rule ho_cong :premises (@p48 @p45)) % 94.93/95.29 (step @p50 :rule ho_cong :premises (@p49 @p44)) % 94.93/95.29 (step @p51 :rule cong :premises (@p50 @p47) :args ((= (_ (_ tptp.esti @t37) @t9) @t38))) % 94.93/95.29 (step @p52 :rule symm :premises (@p51)) % 94.93/95.29 (step @p53 :rule refl :args (@t15)) % 94.93/95.29 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 94.93/95.29 (step @p55 :rule refl :args (@t14)) % 94.93/95.29 (step @p56 :rule cong :premises (@p55 @p45) :args ((= @t14 @t37))) % 94.93/95.29 (step @p57 :rule symm :premises (@p56)) % 94.93/95.29 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 94.93/95.29 (step @p59 :rule ho_cong :premises (@p48 @p58)) % 94.93/95.29 (step @p60 :rule ho_cong :premises (@p59 @p44)) % 94.93/95.29 (step @p61 :rule trans :premises (@p60 @p54)) % 94.93/95.29 (step @p62 :rule cong :premises (@p41) :args (@t53)) % 94.93/95.29 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t54)) % 94.93/95.29 (step @p64 :rule cong :premises (@p63) :args ((forall @t12 @t54))) % 94.93/95.29 (step @p65 :rule bool-impl-elim :args (@t11 @t15)) % 94.93/95.29 (step @p66 :rule cong :premises (@p65) :args (@t16)) % 94.93/95.29 (step @p67 :rule trans :premises (@p66 @p64)) % 94.93/95.29 (step @p68 :rule cong :premises (@p67 @p42) :args (@t17)) % 94.93/95.29 (step @p69 :rule refl :args (@t18)) % 94.93/95.29 (step @p70 :rule cong :premises (@p69 @p68) :args (@t19)) % 94.93/95.29 (step @p71 :rule cong :premises (@p70) :args (@t21)) % 94.93/95.29 (step @p72 :rule trans :premises (@p71 @p36)) % 94.93/95.29 (step @p73 :rule eq_resolve :premises (@p2 @p72)) % 94.93/95.29 (step @p74 :rule instantiate :premises (@p73) :args ((@list @t67 @t62))) % 94.93/95.29 (step @p75 :rule refl :args (@t68)) % 94.93/95.29 (step @p76 :rule refl :args (@t3)) % 94.93/95.29 (step @p77 :rule cong :premises (@p76 @p75) :args ((= @t3 @t68))) % 94.93/95.29 (step @p78 :rule symm :premises (@p77)) % 94.93/95.29 (step @p79 :rule eq_resolve :premises (@p76 @p78)) % 94.93/95.29 (step @p80 :rule refl :args ((tptp.esti @t1 @t4))) % 94.93/95.29 (step @p81 :rule refl :args (@t69)) % 94.93/95.29 (step @p82 :rule refl :args (@t1)) % 94.93/95.29 (step @p83 :rule cong :premises (@p82 @p81) :args (@t70)) % 94.93/95.29 (step @p84 :rule trans :premises (@p83 @p80)) % 94.93/95.29 (step @p85 :rule refl :args (@t5)) % 94.93/95.29 (step @p86 :rule ho_cong :premises (@p85 @p81)) % 94.93/95.29 (step @p87 :rule cong :premises (@p86 @p84) :args ((= (_ @t5 @t69) @t70))) % 94.93/95.29 (step @p88 :rule symm :premises (@p87)) % 94.93/95.29 (step @p89 :rule refl :args (@t6)) % 94.93/95.29 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 94.93/95.29 (step @p91 :rule refl :args (@t4)) % 94.93/95.29 (step @p92 :rule cong :premises (@p91 @p81) :args ((= @t4 @t69))) % 94.93/95.29 (step @p93 :rule symm :premises (@p92)) % 94.93/95.29 (step @p94 :rule eq_resolve :premises (@p91 @p93)) % 94.93/95.29 (step @p95 :rule ho_cong :premises (@p85 @p94)) % 94.93/95.29 (step @p96 :rule trans :premises (@p95 @p90)) % 94.93/95.29 (step @p97 :rule cong :premises (@p96) :args (@t71)) % 94.93/95.29 (step @p98 :rule nary_cong :premises (@p97 @p79) :args (@t72)) % 94.93/95.29 (step @p99 :rule cong :premises (@p98) :args ((forall @t7 @t72))) % 94.93/95.29 (step @p100 :rule bool-impl-elim :args (@t6 @t3)) % 94.93/95.29 (step @p101 :rule cong :premises (@p100) :args (@t8)) % 94.93/95.29 (step @p102 :rule trans :premises (@p101 @p99)) % 94.93/95.29 (step @p103 :rule eq_resolve :premises (@p1 @p102)) % 94.93/95.29 (step @p104 :rule eq-refl :args (@t75)) % 94.93/95.29 (step @p105 :rule beta-reduce :args ((= @t76 @t75))) % 94.93/95.29 (step @p106 :rule refl :args (@t75)) % 94.93/95.29 (step @p107 :rule cong :premises (@p106 @p105) :args ((= @t75 @t76))) % 94.93/95.29 (step @p108 :rule trans :premises (@p107 @p104)) % 94.93/95.29 (step @p109 :rule eq-symm :args (@t76 @t75)) % 94.93/95.29 (step @p110 :rule trans :premises (@p109 @p108)) % 94.93/95.29 (step @p111 :rule refl :args (@t74)) % 94.93/95.29 (step @p112 :rule skolem_intro :args (@t66)) % 94.93/95.29 (step @p113 :rule ho_cong :premises (@p112 @p111)) % 94.93/95.29 (step @p114 :rule cong :premises (@p113 @p106) :args ((= @t77 @t75))) % 94.93/95.29 (step @p115 :rule trans :premises (@p114 @p110)) % 94.93/95.29 (step @p116 :rule true_elim :premises (@p115)) % 94.93/95.29 (step @p117 :rule refl :args (@t79)) % 94.93/95.29 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t80)) % 94.93/95.29 (step @p119 :rule refl :args (@t81)) % 94.93/95.29 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t81 @t80))) % 94.93/95.29 (assume-push @p557 @t81) % 94.93/95.29 (step @p122 :rule instantiate :premises (@p103) :args ((@list @t66 @t74))) % 94.93/95.29 (step-pop @p558 :rule scope :premises (@p122)) % 94.93/95.29 (step @p123 :rule process_scope :premises (@p558) :args (@t80)) % 94.93/95.29 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 94.93/95.29 (step @p126 :rule implies_elim :premises (@p125)) % 94.93/95.29 (step @p127 :rule chain_m_resolution :premises (@p126 @p103) :args (@t82 @t83 @t84)) % 94.93/95.29 (step @p128 :rule instantiate :premises (@p73) :args ((@list @t88 @t85))) % 94.93/95.29 (step @p129 :rule eq-refl :args (@t90)) % 94.93/95.29 (step @p130 :rule beta-reduce :args ((= @t91 @t90))) % 94.93/95.29 (step @p131 :rule refl :args (@t90)) % 94.93/95.29 (step @p132 :rule cong :premises (@p131 @p130) :args ((= @t90 @t91))) % 94.93/95.29 (step @p133 :rule trans :premises (@p132 @p129)) % 94.93/95.29 (step @p134 :rule refl :args (@t85)) % 94.93/95.29 (step @p135 :rule skolem_intro :args (@t87)) % 94.93/95.29 (step @p136 :rule ho_cong :premises (@p135 @p134)) % 94.93/95.29 (step @p137 :rule cong :premises (@p131 @p136) :args ((= @t90 @t92))) % 94.93/95.29 (step @p138 :rule eq-symm :args (@t92 @t90)) % 94.93/95.29 (step @p139 :rule trans :premises (@p138 @p137 @p133)) % 94.93/95.29 (step @p140 :rule true_elim :premises (@p139)) % 94.93/95.29 (step @p141 :rule refl :args (@t94)) % 94.93/95.29 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t95)) % 94.93/95.29 (step @p143 :rule cong :premises (@p119 @p142) :args ((=> @t81 @t95))) % 94.93/95.29 (assume-push @p559 @t81) % 94.93/95.29 (step @p145 :rule instantiate :premises (@p103) :args ((@list @t87 @t85))) % 94.93/95.29 (step-pop @p560 :rule scope :premises (@p145)) % 94.93/95.29 (step @p146 :rule process_scope :premises (@p560) :args (@t95)) % 94.93/95.29 (step @p148 :rule eq_resolve :premises (@p146 @p143)) % 94.93/95.29 (step @p149 :rule implies_elim :premises (@p148)) % 94.93/95.29 (step @p150 :rule chain_m_resolution :premises (@p149 @p103) :args (@t96 @t83 @t84)) % 94.93/95.29 (step @p151 :rule refl :args (@t85)) % 94.93/95.29 (step @p152 :rule refl :args (@t33)) % 94.93/95.29 (step @p153 :rule cong :premises (@p152 @p151) :args ((= @t33 @t85))) % 94.93/95.29 (step @p154 :rule symm :premises (@p153)) % 94.93/95.29 (step @p155 :rule eq_resolve :premises (@p152 @p154)) % 94.93/95.29 (step @p156 :rule refl :args (tptp.x)) % 94.93/95.29 (step @p157 :rule cong :premises (@p156 @p155) :args ((= tptp.x @t33))) % 94.93/95.29 (step @p158 :rule eq-symm :args (@t33 tptp.x)) % 94.93/95.29 (step @p159 :rule bool-double-not-elim :args (@t34)) % 94.93/95.29 (step @p160 :rule trans :premises (@p159 @p158)) % 94.93/95.29 (step @p161 :rule trans :premises (@p160 @p157)) % 94.93/95.29 (step @p162 :rule eq_resolve :premises (@p6 @p161)) % 94.93/95.29 (step @p163 :rule cnf_or_pos :args (@t96)) % 94.93/95.29 (step @p164 :rule reordering :premises (@p163) :args ((or @t90 @t94 (not @t96)))) % 94.93/95.29 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p150) :args (@t94 (@list false false) (@list @t89 @t96))) % 94.93/95.29 (step @p166 :rule bool-double-not-elim :args (@t99)) % 94.93/95.29 (step @p167 :rule refl :args (@t103)) % 94.93/95.29 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t103 (not @t102)))) % 94.93/95.29 (step @p169 :rule cnf_or_neg :args (@t103 0)) % 94.93/95.29 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 94.93/95.29 (step @p171 :rule reordering :premises (@p170) :args ((or @t99 @t103))) % 94.93/95.29 (step @p172 :rule cnf_or_neg :args (@t103 1)) % 94.93/95.29 (step @p173 :rule eq-refl :args (@t105)) % 94.93/95.29 (step @p174 :rule beta-reduce :args ((= @t106 @t105))) % 94.93/95.29 (step @p175 :rule refl :args (@t105)) % 94.93/95.29 (step @p176 :rule cong :premises (@p175 @p174) :args ((= @t105 @t106))) % 94.93/95.29 (step @p177 :rule trans :premises (@p176 @p173)) % 94.93/95.29 (step @p178 :rule eq-symm :args (@t106 @t105)) % 94.93/95.29 (step @p179 :rule trans :premises (@p178 @p177)) % 94.93/95.29 (step @p180 :rule refl :args (@t98)) % 94.93/95.29 (step @p181 :rule ho_cong :premises (@p135 @p180)) % 94.93/95.29 (step @p182 :rule cong :premises (@p181 @p175) :args ((= @t107 @t105))) % 94.93/95.29 (step @p183 :rule trans :premises (@p182 @p179)) % 94.93/95.29 (step @p184 :rule true_elim :premises (@p183)) % 94.93/95.29 (step @p185 :rule refl :args (@t102)) % 94.93/95.29 (step @p186 :rule nary_cong :premises (@p185 @p184) :args (@t108)) % 94.93/95.29 (step @p187 :rule cong :premises (@p119 @p186) :args ((=> @t81 @t108))) % 94.93/95.29 (assume-push @p561 @t81) % 94.93/95.29 (step @p189 :rule instantiate :premises (@p103) :args ((@list @t87 @t98))) % 94.93/95.29 (step-pop @p562 :rule scope :premises (@p189)) % 94.93/95.29 (step @p190 :rule process_scope :premises (@p562) :args (@t108)) % 94.93/95.29 (step @p192 :rule eq_resolve :premises (@p190 @p187)) % 94.93/95.29 (step @p193 :rule implies_elim :premises (@p192)) % 94.93/95.29 (step @p194 :rule chain_m_resolution :premises (@p193 @p103) :args (@t109 @t83 @t84)) % 94.93/95.29 (step @p195 :rule cnf_or_pos :args (@t109)) % 94.93/95.29 (step @p196 :rule reordering :premises (@p195) :args ((or @t102 @t105 (not @t109)))) % 94.93/95.29 (step @p197 :rule cong :premises (@p79) :args (@t110)) % 94.93/95.29 (step @p198 :rule nary_cong :premises (@p197 @p96) :args (@t111)) % 94.93/95.29 (step @p199 :rule cong :premises (@p198) :args ((forall @t7 @t111))) % 94.93/95.29 (step @p200 :rule bool-impl-elim :args (@t3 @t6)) % 94.93/95.29 (step @p201 :rule cong :premises (@p200) :args (@t22)) % 94.93/95.29 (step @p202 :rule trans :premises (@p201 @p199)) % 94.93/95.29 (step @p203 :rule eq_resolve :premises (@p3 @p202)) % 94.93/95.29 (step @p204 :rule refl :args (@t101)) % 94.93/95.29 (step @p205 :rule bool-double-not-elim :args (@t112)) % 94.93/95.29 (step @p206 :rule eq-refl :args (@t113)) % 94.93/95.29 (step @p207 :rule beta-reduce :args ((= @t114 @t113))) % 94.93/95.29 (step @p208 :rule refl :args (@t113)) % 94.93/95.29 (step @p209 :rule cong :premises (@p208 @p207) :args ((= @t113 @t114))) % 94.93/95.29 (step @p210 :rule trans :premises (@p209 @p206)) % 94.93/95.29 (step @p211 :rule eq-symm :args (@t114 @t113)) % 94.93/95.29 (step @p212 :rule trans :premises (@p211 @p210)) % 94.93/95.29 (step @p213 :rule refl :args (@t100)) % 94.93/95.29 (step @p214 :rule ho_cong :premises (@p135 @p213)) % 94.93/95.29 (step @p215 :rule cong :premises (@p214 @p208) :args ((= @t115 @t113))) % 94.93/95.29 (step @p216 :rule trans :premises (@p215 @p212)) % 94.93/95.29 (step @p217 :rule true_elim :premises (@p216)) % 94.93/95.29 (step @p218 :rule cong :premises (@p217) :args (@t116)) % 94.93/95.29 (step @p219 :rule trans :premises (@p218 @p205)) % 94.93/95.29 (step @p220 :rule nary_cong :premises (@p219 @p204) :args (@t117)) % 94.93/95.29 (step @p221 :rule refl :args (@t118)) % 94.93/95.29 (step @p222 :rule cong :premises (@p221 @p220) :args ((=> @t118 @t117))) % 94.93/95.29 (assume-push @p563 @t118) % 94.93/95.29 (step @p224 :rule instantiate :premises (@p203) :args ((@list @t87 @t100))) % 94.93/95.29 (step-pop @p564 :rule scope :premises (@p224)) % 94.93/95.29 (step @p225 :rule process_scope :premises (@p564) :args (@t117)) % 94.93/95.29 (step @p227 :rule eq_resolve :premises (@p225 @p222)) % 94.93/95.29 (step @p228 :rule implies_elim :premises (@p227)) % 94.93/95.29 (step @p229 :rule chain_m_resolution :premises (@p228 @p203) :args (@t119 @t83 @t120)) % 94.93/95.29 (step @p230 :rule cnf_or_pos :args (@t119)) % 94.93/95.29 (step @p231 :rule reordering :premises (@p230) :args ((or @t101 @t112 (not @t119)))) % 94.93/95.29 (step @p232 :rule refl :args (@t121)) % 94.93/95.29 (step @p233 :rule refl :args (@t26)) % 94.93/95.29 (step @p234 :rule cong :premises (@p233 @p232) :args ((= @t26 @t121))) % 94.93/95.29 (step @p235 :rule symm :premises (@p234)) % 94.93/95.29 (step @p236 :rule eq_resolve :premises (@p233 @p235)) % 94.93/95.29 (step @p237 :rule cong :premises (@p58 @p236) :args (@t27)) % 94.93/95.29 (step @p238 :rule cong :premises (@p237) :args (@t28)) % 94.93/95.29 (step @p239 :rule refl :args (@t29)) % 94.93/95.29 (step @p240 :rule nary_cong :premises (@p239 @p238) :args (@t122)) % 94.93/95.29 (step @p241 :rule cong :premises (@p240) :args ((forall @t31 @t122))) % 94.93/95.29 (step @p242 :rule refl :args (@t28)) % 94.93/95.29 (step @p243 :rule bool-double-not-elim :args (@t29)) % 94.93/95.29 (step @p244 :rule nary_cong :premises (@p243 @p242) :args ((or (not @t30) @t28))) % 94.93/95.29 (step @p245 :rule bool-impl-elim :args (@t30 @t28)) % 94.93/95.29 (step @p246 :rule trans :premises (@p245 @p244)) % 94.93/95.29 (step @p247 :rule cong :premises (@p246) :args (@t32)) % 94.93/95.29 (step @p248 :rule trans :premises (@p247 @p241)) % 94.93/95.29 (step @p249 :rule eq_resolve :premises (@p5 @p248)) % 94.93/95.29 (step @p250 :rule instantiate :premises (@p249) :args ((@list tptp.x @t98))) % 94.93/95.29 (step @p251 :rule cnf_or_pos :args (@t125)) % 94.93/95.29 (step @p252 :rule reordering :premises (@p251) :args ((or @t104 @t124 (not @t125)))) % 94.93/95.29 (assume-push @p565 @t89) % 94.93/95.29 (assume-push @p566 @t112) % 94.93/95.29 (assume-push @p567 @t112) % 94.93/95.29 (assume-push @p568 @t89) % 94.93/95.29 (step @p257 :rule symm :premises (@p162)) % 94.93/95.29 (step @p258 :rule trans :premises (@p257 @p566)) % 94.93/95.29 (step-pop @p569 :rule scope :premises (@p258)) % 94.93/95.29 (step-pop @p570 :rule scope :premises (@p569)) % 94.93/95.29 (step @p259 :rule process_scope :premises (@p570) :args (@t123)) % 94.93/95.29 (step @p262 :rule and_intro :premises (@p566 @p162)) % 94.93/95.29 (step @p263 :rule modus_ponens :premises (@p262 @p259)) % 94.93/95.29 (step-pop @p571 :rule scope :premises (@p263)) % 94.93/95.29 (step-pop @p572 :rule scope :premises (@p571)) % 94.93/95.29 (step @p264 :rule process_scope :premises (@p572) :args (@t123)) % 94.93/95.29 (step @p267 :rule implies_elim :premises (@p264)) % 94.93/95.29 (step @p268 :rule cnf_and_neg :args (@t126)) % 94.93/95.29 (step @p269 :rule resolution :premises (@p268 @p267) :args (true @t126)) % 94.93/95.29 (step @p270 :rule reordering :premises (@p269) :args ((or @t90 @t123 @t113))) % 94.93/95.29 (step @p271 :rule chain_m_resolution :premises (@p270 @p162 @p252 @p250 @p231 @p229 @p196 @p194 @p172 @p171) :args (@t103 (@list false true false false false true false true false) (@list @t89 @t123 @t125 @t112 @t119 @t104 @t109 @t101 @t99))) % 94.93/95.29 (step @p272 :rule refl :args (@t127)) % 94.93/95.29 (step @p273 :rule bool-double-not-elim :args (@t97)) % 94.93/95.29 (step @p274 :rule nary_cong :premises (@p273 @p272) :args ((or (not @t128) @t127))) % 94.93/95.29 (assume-push @p573 @t128) % 94.93/95.29 (step @p276 :rule skolemize :premises (@p573)) % 94.93/95.29 (step-pop @p574 :rule scope :premises (@p276)) % 94.93/95.29 (step @p277 :rule process_scope :premises (@p574) :args (@t127)) % 94.93/95.29 (step @p279 :rule implies_elim :premises (@p277)) % 94.93/95.29 (step @p280 :rule eq_resolve :premises (@p279 @p274)) % 94.93/95.29 (step @p281 :rule chain_m_resolution :premises (@p280 @p271) :args (@t97 @t83 (@list @t103))) % 94.93/95.29 (step @p282 :rule cnf_or_pos :args (@t131)) % 94.93/95.29 (step @p283 :rule reordering :premises (@p282) :args ((or @t130 @t128 @t93 (not @t131)))) % 94.93/95.29 (step @p284 :rule chain_m_resolution :premises (@p283 @p281 @p165 @p128) :args (@t130 (@list false true false) (@list @t97 @t93 @t131))) % 94.93/95.29 (assume-push @p575 @t75) % 94.93/95.29 (assume-push @p576 @t132) % 94.93/95.29 (assume-push @p577 @t132) % 94.93/95.29 (assume-push @p578 @t75) % 94.93/95.29 (step @p289 :rule true_intro :premises (@p576)) % 94.93/95.29 (step @p290 :rule refl :args (@t88)) % 94.93/95.29 (step @p291 :rule cong :premises (@p575 @p290) :args (@t129)) % 94.93/95.29 (step @p292 :rule trans :premises (@p291 @p289)) % 94.93/95.29 (step @p293 :rule true_elim :premises (@p292)) % 94.93/95.29 (step-pop @p579 :rule scope :premises (@p293)) % 94.93/95.29 (step-pop @p580 :rule scope :premises (@p579)) % 94.93/95.29 (step @p294 :rule process_scope :premises (@p580) :args (@t129)) % 94.93/95.29 (step @p297 :rule and_intro :premises (@p576 @p575)) % 94.93/95.29 (step @p298 :rule modus_ponens :premises (@p297 @p294)) % 94.93/95.29 (step-pop @p581 :rule scope :premises (@p298)) % 94.93/95.29 (step-pop @p582 :rule scope :premises (@p581)) % 94.93/95.29 (step @p299 :rule process_scope :premises (@p582) :args (@t129)) % 94.93/95.29 (step @p302 :rule implies_elim :premises (@p299)) % 94.93/95.29 (step @p303 :rule cnf_and_neg :args (@t133)) % 94.93/95.29 (step @p304 :rule resolution :premises (@p303 @p302) :args (true @t133)) % 94.93/95.29 (step @p305 :rule eq-refl :args (@t86)) % 94.93/95.29 (step @p306 :rule refl :args (@t86)) % 94.93/95.29 (step @p307 :rule cong :premises (@p306 @p135) :args ((= @t86 @t87))) % 94.93/95.29 (step @p308 :rule trans :premises (@p307 @p305)) % 94.93/95.29 (step @p309 :rule true_elim :premises (@p308)) % 94.93/95.29 (step @p310 :rule cong :premises (@p309) :args (@t134)) % 94.93/95.29 (step @p311 :rule cong :premises (@p111 @p310) :args (@t135)) % 94.93/95.29 (step @p312 :rule refl :args (@t136)) % 94.93/95.29 (step @p313 :rule nary_cong :premises (@p312 @p311) :args (@t137)) % 94.93/95.29 (step @p314 :rule cong :premises (@p221 @p313) :args ((=> @t118 @t137))) % 94.93/95.29 (step @p315 :rule refl :args (@t135)) % 94.93/95.29 (step @p316 :rule bool-double-not-elim :args (@t136)) % 94.93/95.29 (step @p317 :rule beta-reduce :args ((= @t139 @t138))) % 94.93/95.29 (step @p318 :rule cong :premises (@p317) :args (@t140)) % 94.93/95.29 (step @p319 :rule trans :premises (@p318 @p316)) % 94.93/95.29 (step @p320 :rule nary_cong :premises (@p319 @p315) :args (@t141)) % 94.93/95.29 (step @p321 :rule cong :premises (@p221 @p320) :args ((=> @t118 @t141))) % 94.93/95.29 (assume-push @p583 @t118) % 94.93/95.29 (step @p323 :rule instantiate :premises (@p203) :args ((@list @t86 @t74))) % 94.93/95.29 (step-pop @p584 :rule scope :premises (@p323)) % 94.93/95.29 (step @p324 :rule process_scope :premises (@p584) :args (@t141)) % 94.93/95.29 (step @p326 :rule eq_resolve :premises (@p324 @p321)) % 94.93/95.29 (step @p327 :rule eq_resolve :premises (@p326 @p314)) % 94.93/95.29 (step @p328 :rule implies_elim :premises (@p327)) % 94.93/95.29 (step @p329 :rule chain_m_resolution :premises (@p328 @p203) :args (@t142 @t83 @t120)) % 94.93/95.29 (step @p330 :rule cnf_or_pos :args (@t142)) % 94.93/95.29 (step @p331 :rule reordering :premises (@p330) :args ((or @t136 @t132 (not @t142)))) % 94.93/95.29 (step @p332 :rule refl :args (tptp.n_1)) % 94.93/95.29 (step @p333 :rule cong :premises (@p332 @p58) :args (@t143)) % 94.93/95.29 (step @p334 :rule cong :premises (@p333) :args (@t144)) % 94.93/95.29 (step @p335 :rule cong :premises (@p334) :args ((forall @t12 @t144))) % 94.93/95.29 (step @p336 :rule eq-symm :args (@t14 tptp.n_1)) % 94.93/95.29 (step @p337 :rule cong :premises (@p336) :args (@t23)) % 94.93/95.29 (step @p338 :rule cong :premises (@p337) :args (@t24)) % 94.93/95.29 (step @p339 :rule trans :premises (@p338 @p335)) % 94.93/95.29 (step @p340 :rule eq_resolve :premises (@p4 @p339)) % 94.93/95.29 (step @p341 :rule instantiate :premises (@p340) :args ((@list tptp.x))) % 94.93/95.29 (step @p342 :rule refl :args (@t145)) % 94.93/95.29 (step @p343 :rule refl :args (@t138)) % 94.93/95.29 (step @p344 :rule bool-double-not-elim :args (@t146)) % 94.93/95.29 (step @p345 :rule nary_cong :premises (@p131 @p344 @p343 @p342) :args ((or @t90 (not @t147) @t138 @t145))) % 94.93/95.29 (assume-push @p585 @t89) % 94.93/95.29 (assume-push @p586 @t136) % 94.93/95.29 (assume-push @p587 @t75) % 94.93/95.29 (assume-push @p588 @t147) % 94.93/95.29 (step @p350 :rule evaluate :args ((= false true))) % 94.93/95.29 (step @p351 :rule symm :premises (@p586)) % 94.93/95.29 (step @p352 :rule trans :premises (@p587 @p351)) % 94.93/95.29 (step @p353 :rule trans :premises (@p352 @p162)) % 94.93/95.29 (step @p354 :rule true_intro :premises (@p353)) % 94.93/95.29 (step @p355 :rule false_intro :premises (@p341)) % 94.93/95.29 (step @p356 :rule symm :premises (@p355)) % 94.93/95.29 (step @p357 :rule trans :premises (@p356 @p354)) % 94.93/95.29 (step @p358 false :rule eq_resolve :premises (@p357 @p350)) % 94.93/95.29 (step-pop @p589 :rule scope :premises (@p358)) % 94.93/95.29 (step-pop @p590 :rule scope :premises (@p589)) % 94.93/95.29 (step-pop @p591 :rule scope :premises (@p590)) % 94.93/95.29 (step-pop @p592 :rule scope :premises (@p591)) % 94.93/95.29 (step @p359 :rule process_scope :premises (@p592) :args (false)) % 94.93/95.29 (assume-push @p593 @t89) % 94.93/95.29 (assume-push @p594 @t147) % 94.93/95.29 (assume-push @p595 @t136) % 94.93/95.29 (assume-push @p596 @t75) % 94.93/95.29 (step @p368 :rule and_intro :premises (@p162 @p595 @p596 @p341)) % 94.93/95.29 (step-pop @p597 :rule scope :premises (@p368)) % 94.93/95.29 (step-pop @p598 :rule scope :premises (@p597)) % 94.93/95.29 (step-pop @p599 :rule scope :premises (@p598)) % 94.93/95.29 (step-pop @p600 :rule scope :premises (@p599)) % 94.93/95.29 (step @p369 :rule process_scope :premises (@p600) :args (@t148)) % 94.93/95.29 (step @p374 :rule implies_elim :premises (@p369)) % 94.93/95.29 (step @p375 :rule resolution :premises (@p374 @p359) :args (true @t148)) % 94.93/95.29 (step @p376 :rule not_and :premises (@p375)) % 94.93/95.29 (step @p377 :rule eq_resolve :premises (@p376 @p345)) % 94.93/95.29 (step @p378 :rule reordering :premises (@p377) :args ((or @t90 @t146 @t145 @t138))) % 94.93/95.29 (step @p379 :rule chain_m_resolution :premises (@p378 @p341 @p162 @p331 @p329 @p304 @p284) :args (@t145 (@list true false false false true true) (@list @t146 @t89 @t136 @t142 @t132 @t129))) % 94.93/95.29 (step @p380 :rule cnf_or_pos :args (@t82)) % 94.93/95.29 (step @p381 :rule reordering :premises (@p380) :args ((or @t79 @t75 (not @t82)))) % 94.93/95.29 (step @p382 :rule chain_m_resolution :premises (@p381 @p379 @p127) :args (@t79 @t149 (@list @t75 @t82))) % 94.93/95.29 (step @p383 :rule bool-double-not-elim :args (@t78)) % 94.93/95.29 (step @p384 :rule refl :args (@t150)) % 94.93/95.29 (step @p385 :rule nary_cong :premises (@p384 @p383) :args ((or @t150 (not @t79)))) % 94.93/95.29 (step @p386 :rule cnf_or_neg :args (@t150 0)) % 94.93/95.29 (step @p387 :rule eq_resolve :premises (@p386 @p385)) % 94.93/95.29 (step @p388 :rule reordering :premises (@p387) :args ((or @t78 @t150))) % 94.93/95.29 (step @p389 :rule chain_m_resolution :premises (@p388 @p382) :args (@t150 @t151 (@list @t78))) % 94.93/95.29 (step @p390 :rule refl :args (@t152)) % 94.93/95.29 (step @p391 :rule bool-double-not-elim :args (@t73)) % 94.93/95.29 (step @p392 :rule nary_cong :premises (@p391 @p390) :args ((or (not @t153) @t152))) % 94.93/95.29 (assume-push @p601 @t153) % 94.93/95.29 (step @p394 :rule skolemize :premises (@p601)) % 94.93/95.29 (step-pop @p602 :rule scope :premises (@p394)) % 94.93/95.29 (step @p395 :rule process_scope :premises (@p602) :args (@t152)) % 94.93/95.29 (step @p397 :rule implies_elim :premises (@p395)) % 94.93/95.29 (step @p398 :rule eq_resolve :premises (@p397 @p392)) % 94.93/95.29 (step @p399 :rule chain_m_resolution :premises (@p398 @p389) :args (@t73 @t83 (@list @t150))) % 94.93/95.29 (step @p400 :rule eq-refl :args (@t65)) % 94.93/95.29 (step @p401 :rule refl :args (@t65)) % 94.93/95.29 (step @p402 :rule cong :premises (@p401 @p112) :args ((= @t65 @t66))) % 94.93/95.29 (step @p403 :rule trans :premises (@p402 @p400)) % 94.93/95.29 (step @p404 :rule true_elim :premises (@p403)) % 94.93/95.29 (step @p405 :rule cong :premises (@p404) :args (@t154)) % 94.93/95.29 (step @p406 :rule refl :args (tptp.n_1)) % 94.93/95.29 (step @p407 :rule cong :premises (@p406 @p405) :args (@t155)) % 94.93/95.29 (step @p408 :rule cong :premises (@p221 @p407) :args ((=> @t118 @t155))) % 94.93/95.29 (step @p409 :rule aci_norm :args ((= (or false @t155) @t155))) % 94.93/95.29 (step @p410 :rule eq-symm :args (@t63 tptp.n_1)) % 94.93/95.29 (step @p411 :rule cong :premises (@p410) :args (@t156)) % 94.93/95.29 (step @p412 :rule cong :premises (@p411) :args (@t157)) % 94.93/95.29 (step @p413 :rule cong :premises (@p406 @p412) :args (@t158)) % 94.93/95.29 (step @p414 :rule evaluate :args ((not true))) % 94.93/95.29 (step @p415 :rule eq-refl :args (tptp.n_1)) % 94.93/95.29 (step @p416 :rule beta-reduce :args ((= @t159 (= tptp.n_1 tptp.n_1)))) % 94.93/95.29 (step @p417 :rule trans :premises (@p416 @p415)) % 94.93/95.29 (step @p418 :rule cong :premises (@p417) :args (@t160)) % 94.93/95.29 (step @p419 :rule trans :premises (@p418 @p414)) % 94.93/95.29 (step @p420 :rule nary_cong :premises (@p419 @p413) :args (@t161)) % 94.93/95.29 (step @p421 :rule trans :premises (@p420 @p409)) % 94.93/95.29 (step @p422 :rule cong :premises (@p221 @p421) :args ((=> @t118 @t161))) % 94.93/95.29 (assume-push @p603 @t118) % 94.93/95.29 (step @p424 :rule instantiate :premises (@p203) :args ((@list @t156 tptp.n_1))) % 94.93/95.29 (step-pop @p604 :rule scope :premises (@p424)) % 94.93/95.29 (step @p425 :rule process_scope :premises (@p604) :args (@t161)) % 94.93/95.29 (step @p427 :rule eq_resolve :premises (@p425 @p422)) % 94.93/95.29 (step @p428 :rule eq_resolve :premises (@p427 @p408)) % 94.93/95.29 (step @p429 :rule implies_elim :premises (@p428)) % 94.93/95.29 (step @p430 :rule chain_m_resolution :premises (@p429 @p203) :args (@t162 @t83 @t120)) % 94.93/95.29 (step @p431 :rule cnf_or_pos :args (@t165)) % 94.93/95.29 (step @p432 :rule reordering :premises (@p431) :args ((or @t164 @t163 @t153 (not @t165)))) % 94.93/95.29 (step @p433 :rule chain_m_resolution :premises (@p432 @p430 @p399 @p74) :args (@t163 (@list false false false) (@list @t162 @t73 @t165))) % 94.93/95.29 (assume-push @p605 @t166) % 94.93/95.29 (assume-push @p606 @t163) % 94.93/95.29 (assume-push @p607 @t163) % 94.93/95.29 (assume-push @p608 @t166) % 94.93/95.29 (step @p438 :rule true_intro :premises (@p606)) % 94.93/95.29 (step @p439 :rule aci_norm :args (@t167)) % 94.93/95.29 (step @p440 :rule eq-refl :args (@t169)) % 94.93/95.29 (step @p441 :rule refl :args (@t169)) % 94.93/95.29 (step @p442 :rule beta-reduce :args (@t170)) % 94.93/95.29 (step @p443 :rule cong :premises (@p442 @p441) :args (@t170)) % 94.93/95.29 (step @p444 :rule trans :premises (@p443 @p440)) % 94.93/95.29 (step @p445 :rule refl :args (@t168)) % 94.93/95.29 (step @p446 :rule ho_cong :premises (@p112 @p445)) % 94.93/95.29 (step @p447 :rule cong :premises (@p446 @p441) :args (@t172)) % 94.93/95.29 (step @p448 :rule trans :premises (@p447 @p444)) % 94.93/95.29 (step @p449 :rule true_elim :premises (@p448)) % 94.93/95.29 (step @p450 :rule beta-reduce :args (@t174)) % 94.93/95.29 (step @p451 :rule cong :premises (@p441 @p450) :args (@t175)) % 94.93/95.29 (step @p452 :rule trans :premises (@p451 @p440)) % 94.93/95.29 (step @p453 :rule eq-symm :args (@t173 @t169)) % 94.93/95.29 (step @p454 :rule trans :premises (@p453 @p452)) % 94.93/95.29 (step @p455 :rule skolem_intro :args (@t58)) % 94.93/95.29 (step @p456 :rule ho_cong :premises (@p455 @p445)) % 94.93/95.29 (step @p457 :rule cong :premises (@p456 @p441) :args (@t177)) % 94.93/95.29 (step @p458 :rule trans :premises (@p457 @p454)) % 94.93/95.29 (step @p459 :rule true_elim :premises (@p458)) % 94.93/95.29 (step @p460 :rule cong :premises (@p459 @p449) :args (@t178)) % 94.93/95.29 (step @p461 :rule trans :premises (@p460 @p440)) % 94.93/95.29 (step @p462 :rule cong :premises (@p461) :args (@t179)) % 94.93/95.29 (step @p463 :rule trans :premises (@p462 @p414)) % 94.93/95.29 (step @p464 :rule refl :args (@t166)) % 94.93/95.29 (step @p465 :rule nary_cong :premises (@p464 @p463) :args (@t180)) % 94.93/95.29 (step @p466 :rule trans :premises (@p465 @p439)) % 94.93/95.29 ; WARNING: add trust step for TRUST % 94.93/95.29 ; trust TRUST THEORY_LEMMA % 94.93/95.29 (step @p467 :rule trust :premises () :args (@t180)) % 94.93/95.29 (step @p468 :rule eq_resolve :premises (@p467 @p466)) % 94.93/95.29 (step @p469 :rule cong :premises (@p468) :args (@t59)) % 94.93/95.29 (step @p470 :rule refl :args (@t62)) % 94.93/95.29 (step @p471 :rule cong :premises (@p470 @p469) :args (@t181)) % 94.93/95.29 (step @p472 :rule trans :premises (@p471 @p438)) % 94.93/95.29 (step @p473 :rule true_elim :premises (@p472)) % 94.93/95.29 (step-pop @p609 :rule scope :premises (@p473)) % 94.93/95.29 (step-pop @p610 :rule scope :premises (@p609)) % 94.93/95.29 (step @p474 :rule process_scope :premises (@p610) :args (@t181)) % 94.93/95.29 (step @p439 :rule aci_norm :args (@t167)) % 94.93/95.29 (step @p440 :rule eq-refl :args (@t169)) % 94.93/95.29 (step @p441 :rule refl :args (@t169)) % 94.93/95.29 (step @p442 :rule beta-reduce :args (@t170)) % 94.93/95.29 (step @p443 :rule cong :premises (@p442 @p441) :args (@t170)) % 94.93/95.29 (step @p444 :rule trans :premises (@p443 @p440)) % 94.93/95.29 (step @p445 :rule refl :args (@t168)) % 94.93/95.29 (step @p446 :rule ho_cong :premises (@p112 @p445)) % 94.93/95.29 (step @p447 :rule cong :premises (@p446 @p441) :args (@t172)) % 94.93/95.29 (step @p448 :rule trans :premises (@p447 @p444)) % 94.93/95.29 (step @p449 :rule true_elim :premises (@p448)) % 94.93/95.29 (step @p450 :rule beta-reduce :args (@t174)) % 94.93/95.29 (step @p451 :rule cong :premises (@p441 @p450) :args (@t175)) % 94.93/95.29 (step @p452 :rule trans :premises (@p451 @p440)) % 94.93/95.29 (step @p453 :rule eq-symm :args (@t173 @t169)) % 94.93/95.29 (step @p454 :rule trans :premises (@p453 @p452)) % 94.93/95.29 (step @p455 :rule skolem_intro :args (@t58)) % 94.93/95.29 (step @p456 :rule ho_cong :premises (@p455 @p445)) % 94.93/95.29 (step @p457 :rule cong :premises (@p456 @p441) :args (@t177)) % 94.93/95.29 (step @p458 :rule trans :premises (@p457 @p454)) % 94.93/95.29 (step @p459 :rule true_elim :premises (@p458)) % 94.93/95.29 (step @p460 :rule cong :premises (@p459 @p449) :args (@t178)) % 94.93/95.29 (step @p461 :rule trans :premises (@p460 @p440)) % 94.93/95.29 (step @p462 :rule cong :premises (@p461) :args (@t179)) % 94.93/95.29 (step @p463 :rule trans :premises (@p462 @p414)) % 94.93/95.29 (step @p464 :rule refl :args (@t166)) % 94.93/95.29 (step @p465 :rule nary_cong :premises (@p464 @p463) :args (@t180)) % 94.93/95.29 (step @p466 :rule trans :premises (@p465 @p439)) % 94.93/95.29 ; trust TRUST THEORY_LEMMA % 94.93/95.29 (step @p467 :rule trust :premises () :args (@t180)) % 94.93/95.29 (step @p477 :rule eq_resolve :premises (@p467 @p466)) % 94.93/95.29 (step @p478 :rule and_intro :premises (@p606 @p477)) % 94.93/95.29 (step @p479 :rule modus_ponens :premises (@p478 @p474)) % 94.93/95.29 (step-pop @p611 :rule scope :premises (@p479)) % 94.93/95.29 (step-pop @p612 :rule scope :premises (@p611)) % 94.93/95.29 (step @p480 :rule process_scope :premises (@p612) :args (@t181)) % 94.93/95.29 (step @p483 :rule implies_elim :premises (@p480)) % 94.93/95.29 (step @p484 :rule cnf_and_neg :args (@t182)) % 94.93/95.29 (step @p485 :rule resolution :premises (@p484 @p483) :args (true @t182)) % 94.93/95.29 (step @p486 :rule reordering :premises (@p485) :args ((or @t183 @t181 (not @t163)))) % 94.93/95.29 (assume-push @p613 @t162) % 94.93/95.29 (assume-push @p614 @t166) % 94.93/95.29 (assume-push @p615 @t162) % 94.93/95.29 (assume-push @p616 @t166) % 94.93/95.29 (step @p491 :rule true_intro :premises (@p430)) % 94.93/95.29 (step @p439 :rule aci_norm :args (@t167)) % 94.93/95.29 (step @p440 :rule eq-refl :args (@t169)) % 94.93/95.29 (step @p441 :rule refl :args (@t169)) % 94.93/95.29 (step @p442 :rule beta-reduce :args (@t170)) % 94.93/95.29 (step @p443 :rule cong :premises (@p442 @p441) :args (@t170)) % 94.93/95.29 (step @p444 :rule trans :premises (@p443 @p440)) % 94.93/95.29 (step @p445 :rule refl :args (@t168)) % 94.93/95.29 (step @p446 :rule ho_cong :premises (@p112 @p445)) % 94.93/95.29 (step @p447 :rule cong :premises (@p446 @p441) :args (@t172)) % 94.93/95.29 (step @p448 :rule trans :premises (@p447 @p444)) % 94.93/95.29 (step @p449 :rule true_elim :premises (@p448)) % 94.93/95.29 (step @p450 :rule beta-reduce :args (@t174)) % 94.93/95.29 (step @p451 :rule cong :premises (@p441 @p450) :args (@t175)) % 94.93/95.29 (step @p452 :rule trans :premises (@p451 @p440)) % 94.93/95.29 (step @p453 :rule eq-symm :args (@t173 @t169)) % 94.93/95.29 (step @p454 :rule trans :premises (@p453 @p452)) % 94.93/95.29 (step @p455 :rule skolem_intro :args (@t58)) % 94.93/95.29 (step @p456 :rule ho_cong :premises (@p455 @p445)) % 94.93/95.29 (step @p457 :rule cong :premises (@p456 @p441) :args (@t177)) % 94.93/95.29 (step @p458 :rule trans :premises (@p457 @p454)) % 94.93/95.29 (step @p459 :rule true_elim :premises (@p458)) % 94.93/95.29 (step @p460 :rule cong :premises (@p459 @p449) :args (@t178)) % 94.93/95.29 (step @p461 :rule trans :premises (@p460 @p440)) % 94.93/95.29 (step @p462 :rule cong :premises (@p461) :args (@t179)) % 94.93/95.29 (step @p463 :rule trans :premises (@p462 @p414)) % 94.93/95.29 (step @p464 :rule refl :args (@t166)) % 94.93/95.29 (step @p465 :rule nary_cong :premises (@p464 @p463) :args (@t180)) % 94.93/95.29 (step @p466 :rule trans :premises (@p465 @p439)) % 94.93/95.29 ; trust TRUST THEORY_LEMMA % 94.93/95.29 (step @p467 :rule trust :premises () :args (@t180)) % 94.93/95.29 (step @p492 :rule eq_resolve :premises (@p467 @p466)) % 94.93/95.29 (step @p493 :rule cong :premises (@p492) :args (@t59)) % 94.93/95.29 (step @p494 :rule cong :premises (@p406 @p493) :args (@t184)) % 94.93/95.29 (step @p495 :rule trans :premises (@p494 @p491)) % 94.93/95.29 (step @p496 :rule true_elim :premises (@p495)) % 94.93/95.29 (step-pop @p617 :rule scope :premises (@p496)) % 94.93/95.29 (step-pop @p618 :rule scope :premises (@p617)) % 94.93/95.29 (step @p497 :rule process_scope :premises (@p618) :args (@t184)) % 94.93/95.29 (step @p439 :rule aci_norm :args (@t167)) % 94.93/95.29 (step @p440 :rule eq-refl :args (@t169)) % 94.93/95.29 (step @p441 :rule refl :args (@t169)) % 94.93/95.29 (step @p442 :rule beta-reduce :args (@t170)) % 94.93/95.29 (step @p443 :rule cong :premises (@p442 @p441) :args (@t170)) % 94.93/95.29 (step @p444 :rule trans :premises (@p443 @p440)) % 94.93/95.29 (step @p445 :rule refl :args (@t168)) % 94.93/95.29 (step @p446 :rule ho_cong :premises (@p112 @p445)) % 94.93/95.29 (step @p447 :rule cong :premises (@p446 @p441) :args (@t172)) % 94.93/95.29 (step @p448 :rule trans :premises (@p447 @p444)) % 94.93/95.29 (step @p449 :rule true_elim :premises (@p448)) % 94.93/95.29 (step @p450 :rule beta-reduce :args (@t174)) % 94.93/95.29 (step @p451 :rule cong :premises (@p441 @p450) :args (@t175)) % 94.93/95.29 (step @p452 :rule trans :premises (@p451 @p440)) % 94.93/95.29 (step @p453 :rule eq-symm :args (@t173 @t169)) % 94.93/95.29 (step @p454 :rule trans :premises (@p453 @p452)) % 94.93/95.29 (step @p455 :rule skolem_intro :args (@t58)) % 94.93/95.29 (step @p456 :rule ho_cong :premises (@p455 @p445)) % 94.93/95.29 (step @p457 :rule cong :premises (@p456 @p441) :args (@t177)) % 94.93/95.29 (step @p458 :rule trans :premises (@p457 @p454)) % 94.93/95.29 (step @p459 :rule true_elim :premises (@p458)) % 94.93/95.29 (step @p460 :rule cong :premises (@p459 @p449) :args (@t178)) % 94.93/95.29 (step @p461 :rule trans :premises (@p460 @p440)) % 94.93/95.29 (step @p462 :rule cong :premises (@p461) :args (@t179)) % 94.93/95.29 (step @p463 :rule trans :premises (@p462 @p414)) % 94.93/95.29 (step @p464 :rule refl :args (@t166)) % 94.93/95.29 (step @p465 :rule nary_cong :premises (@p464 @p463) :args (@t180)) % 94.93/95.29 (step @p466 :rule trans :premises (@p465 @p439)) % 94.93/95.29 ; trust TRUST THEORY_LEMMA % 94.93/95.29 (step @p467 :rule trust :premises () :args (@t180)) % 94.93/95.29 (step @p500 :rule eq_resolve :premises (@p467 @p466)) % 94.93/95.29 (step @p501 :rule and_intro :premises (@p430 @p500)) % 94.93/95.29 (step @p502 :rule modus_ponens :premises (@p501 @p497)) % 94.93/95.29 (step-pop @p619 :rule scope :premises (@p502)) % 94.93/95.29 (step-pop @p620 :rule scope :premises (@p619)) % 94.93/95.29 (step @p503 :rule process_scope :premises (@p620) :args (@t184)) % 94.93/95.29 (step @p506 :rule implies_elim :premises (@p503)) % 94.93/95.29 (step @p507 :rule cnf_and_neg :args (@t185)) % 94.93/95.29 (step @p508 :rule resolution :premises (@p507 @p506) :args (true @t185)) % 94.93/95.29 (step @p509 :rule cnf_or_neg :args (@t186 1)) % 94.93/95.29 (step @p510 :rule refl :args (@t146)) % 94.93/95.29 (step @p511 :rule eq-refl :args (@t57)) % 94.93/95.29 (step @p455 :rule skolem_intro :args (@t58)) % 94.93/95.29 (step @p512 :rule refl :args (@t57)) % 94.93/95.29 (step @p513 :rule cong :premises (@p512 @p455) :args ((= @t57 @t58))) % 94.93/95.29 (step @p514 :rule trans :premises (@p513 @p511)) % 94.93/95.29 (step @p515 :rule true_elim :premises (@p514)) % 94.93/95.29 (step @p516 :rule cong :premises (@p515) :args (@t187)) % 94.93/95.29 (step @p517 :rule cong :premises (@p134 @p516) :args (@t188)) % 94.93/95.29 (step @p518 :rule cong :premises (@p517) :args (@t189)) % 94.93/95.29 (step @p519 :rule nary_cong :premises (@p518 @p510) :args (@t190)) % 94.93/95.29 (step @p520 :rule cong :premises (@p119 @p519) :args ((=> @t81 @t190))) % 94.93/95.29 (step @p521 :rule eq-symm :args (@t85 tptp.n_1)) % 94.93/95.29 (step @p522 :rule beta-reduce :args ((= @t192 (= @t85 tptp.n_1)))) % 94.93/95.29 (step @p523 :rule trans :premises (@p522 @p521)) % 94.93/95.29 (step @p524 :rule eq-symm :args (@t55 tptp.n_1)) % 94.93/95.29 (step @p525 :rule cong :premises (@p524) :args (@t191)) % 94.93/95.29 (step @p526 :rule cong :premises (@p525) :args (@t193)) % 94.93/95.29 (step @p527 :rule cong :premises (@p134 @p526) :args (@t194)) % 94.93/95.29 (step @p528 :rule cong :premises (@p527) :args (@t195)) % 94.93/95.29 (step @p529 :rule nary_cong :premises (@p528 @p523) :args (@t196)) % 94.93/95.29 (step @p530 :rule cong :premises (@p119 @p529) :args ((=> @t81 @t196))) % 94.93/95.29 (assume-push @p621 @t81) % 94.93/95.29 (step @p532 :rule instantiate :premises (@p103) :args ((@list @t191 @t85))) % 94.93/95.29 (step-pop @p622 :rule scope :premises (@p532)) % 94.93/95.29 (step @p533 :rule process_scope :premises (@p622) :args (@t196)) % 94.93/95.29 (step @p535 :rule eq_resolve :premises (@p533 @p530)) % 94.93/95.29 (step @p536 :rule eq_resolve :premises (@p535 @p520)) % 94.93/95.29 (step @p537 :rule implies_elim :premises (@p536)) % 94.93/95.29 (step @p538 :rule chain_m_resolution :premises (@p537 @p103) :args (@t199 @t83 @t84)) % 94.93/95.29 (step @p539 :rule cnf_or_pos :args (@t199)) % 94.93/95.29 (step @p540 :rule reordering :premises (@p539) :args ((or @t146 @t198 (not @t199)))) % 94.93/95.29 (step @p541 :rule chain_m_resolution :premises (@p540 @p341 @p538) :args (@t198 @t149 (@list @t146 @t199))) % 94.93/95.29 (step @p542 :rule instantiate :premises (@p73) :args ((@list @t59 @t85))) % 94.93/95.29 (step @p543 :rule cnf_or_pos :args (@t202)) % 94.93/95.29 (step @p544 :rule reordering :premises (@p543) :args ((or @t197 @t201 @t200 (not @t202)))) % 94.93/95.29 (step @p545 :rule refl :args (@t203)) % 94.93/95.29 (step @p546 :rule bool-double-not-elim :args (@t60)) % 94.93/95.29 (step @p547 :rule nary_cong :premises (@p546 @p545) :args ((or (not @t200) @t203))) % 94.93/95.29 (assume-push @p623 @t200) % 94.93/95.29 (step @p549 :rule skolemize :premises (@p623)) % 94.93/95.29 (step-pop @p624 :rule scope :premises (@p549)) % 94.93/95.29 (step @p550 :rule process_scope :premises (@p624) :args (@t203)) % 94.93/95.29 (step @p552 :rule implies_elim :premises (@p550)) % 94.93/95.29 (step @p553 :rule eq_resolve :premises (@p552 @p547)) % 94.93/95.29 (step @p554 :rule chain_m_resolution :premises (@p553 @p544 @p542 @p541 @p509 @p508 @p430 @p486 @p433) :args (@t183 (@list true false true false false false false false) (@list @t60 @t202 @t197 @t186 @t184 @t162 @t181 @t163))) % 94.93/95.29 (step @p439 :rule aci_norm :args (@t167)) % 94.93/95.29 (step @p440 :rule eq-refl :args (@t169)) % 94.93/95.29 (step @p441 :rule refl :args (@t169)) % 94.93/95.29 (step @p442 :rule beta-reduce :args (@t170)) % 94.93/95.29 (step @p443 :rule cong :premises (@p442 @p441) :args (@t170)) % 94.93/95.29 (step @p444 :rule trans :premises (@p443 @p440)) % 94.93/95.29 (step @p445 :rule refl :args (@t168)) % 94.93/95.29 (step @p446 :rule ho_cong :premises (@p112 @p445)) % 94.93/95.29 (step @p447 :rule cong :premises (@p446 @p441) :args (@t172)) % 94.93/95.29 (step @p448 :rule trans :premises (@p447 @p444)) % 94.93/95.29 (step @p449 :rule true_elim :premises (@p448)) % 94.93/95.29 (step @p450 :rule beta-reduce :args (@t174)) % 94.93/95.29 (step @p451 :rule cong :premises (@p441 @p450) :args (@t175)) % 94.93/95.29 (step @p452 :rule trans :premises (@p451 @p440)) % 94.93/95.29 (step @p453 :rule eq-symm :args (@t173 @t169)) % 94.93/95.29 (step @p454 :rule trans :premises (@p453 @p452)) % 94.93/95.29 (step @p456 :rule ho_cong :premises (@p455 @p445)) % 94.93/95.29 (step @p457 :rule cong :premises (@p456 @p441) :args (@t177)) % 94.93/95.29 (step @p458 :rule trans :premises (@p457 @p454)) % 94.93/95.29 (step @p459 :rule true_elim :premises (@p458)) % 94.93/95.29 (step @p460 :rule cong :premises (@p459 @p449) :args (@t178)) % 94.93/95.29 (step @p461 :rule trans :premises (@p460 @p440)) % 94.93/95.29 (step @p462 :rule cong :premises (@p461) :args (@t179)) % 94.93/95.29 (step @p463 :rule trans :premises (@p462 @p414)) % 94.93/95.29 (step @p464 :rule refl :args (@t166)) % 94.93/95.29 (step @p465 :rule nary_cong :premises (@p464 @p463) :args (@t180)) % 94.93/95.29 (step @p466 :rule trans :premises (@p465 @p439)) % 94.93/95.29 ; trust TRUST THEORY_LEMMA % 94.93/95.29 (step @p467 :rule trust :premises () :args (@t180)) % 94.93/95.29 (step @p555 :rule eq_resolve :premises (@p467 @p466)) % 94.93/95.29 (step @p556 false :rule chain_m_resolution :premises (@p555 @p554) :args (false @t151 (@list @t166))) % 94.93/95.29 ) % 94.93/95.29 % SZS output end Proof % 94.93/95.29 % cvc5 exiting %------------------------------------------------------------------------------