%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL139-1 : TPTP v9.3.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:22:14 AM UTC 2026 % Result : Unsatisfiable 30.28s 31.58s % Output : Proof 27.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL139-1 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.35 % Computer : n001.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sun Sep 6 00:53:03 UTC 2026 % 0.08/0.35 % CPUTime : % 0.14/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.18/15.78 --- Run --no-e-matching --full-saturate-quant at 6... % 21.21/22.12 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.23/28.47 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 30.28/31.58 % SZS status Unsatisfiable % 30.28/31.58 % SZS output start Proof % 30.28/31.60 ( % 30.28/31.60 (declare-sort $$unsorted 0) % 30.28/31.60 (declare-const tptp.x $$unsorted) % 30.28/31.60 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 30.28/31.60 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 30.28/31.60 (declare-const tptp.truth $$unsorted) % 30.28/31.60 (define @t1 () (@var "X" $$unsorted)) % 30.28/31.60 (define @t2 () (tptp.implies tptp.truth @t1)) % 30.28/31.60 (define @t3 () (forall (@list @t1) (= @t2 @t1))) % 30.28/31.60 (define @t4 () (@var "Z" $$unsorted)) % 30.28/31.60 (define @t5 () (@var "Y" $$unsorted)) % 30.28/31.60 (define @t6 () (tptp.implies @t1 @t5)) % 30.28/31.60 (define @t7 () (tptp.implies @t6 (tptp.implies (tptp.implies @t5 @t4) (tptp.implies @t1 @t4)))) % 30.28/31.60 (define @t8 () (forall (@list @t1 @t5 @t4) (= @t7 tptp.truth))) % 30.28/31.60 (define @t9 () (tptp.implies @t5 @t1)) % 30.28/31.60 (define @t10 () (@list @t1 @t5)) % 30.28/31.60 (define @t11 () (tptp.implies (tptp.implies (tptp.not @t1) (tptp.not @t5)) @t9)) % 30.28/31.60 (define @t12 () (forall @t10 (= @t11 tptp.truth))) % 30.28/31.60 (define @t13 () (tptp.not tptp.x)) % 30.28/31.60 (define @t14 () (tptp.not tptp.truth)) % 30.28/31.60 (define @t15 () (tptp.implies tptp.x @t14)) % 30.28/31.60 (define @t16 () (tptp.implies tptp.truth tptp.x)) % 30.28/31.60 (define @t17 () (@list @t14 tptp.x)) % 30.28/31.60 (define @t18 () (tptp.not @t14)) % 30.28/31.60 (define @t19 () (tptp.not @t18)) % 30.28/31.60 (define @t20 () (tptp.implies tptp.x @t18)) % 30.28/31.60 (define @t21 () (tptp.implies tptp.truth @t14)) % 30.28/31.60 (define @t22 () (tptp.implies @t18 tptp.x)) % 30.28/31.60 (define @t23 () (tptp.implies @t16 @t22)) % 30.28/31.60 (define @t24 () (tptp.implies tptp.truth @t18)) % 30.28/31.60 (define @t25 () (tptp.implies @t19 @t21)) % 30.28/31.60 (define @t26 () (tptp.implies @t13 @t19)) % 30.28/31.60 (define @t27 () (tptp.implies @t14 @t24)) % 30.28/31.60 (define @t28 () (tptp.implies @t19 @t24)) % 30.28/31.60 (define @t29 () (tptp.implies @t18 @t14)) % 30.28/31.60 (define @t30 () (tptp.implies @t18 @t19)) % 30.28/31.60 (define @t31 () (tptp.implies @t19 tptp.x)) % 30.28/31.60 (define @t32 () (tptp.implies @t30 @t21)) % 30.28/31.60 (define @t33 () (tptp.implies @t29 @t21)) % 30.28/31.60 (define @t34 () (tptp.implies @t33 @t32)) % 30.28/31.60 (define @t35 () (tptp.implies @t28 @t18)) % 30.28/31.60 (define @t36 () (tptp.implies @t27 @t18)) % 30.28/31.60 (define @t37 () (tptp.implies @t36 @t35)) % 30.28/31.60 (define @t38 () (tptp.implies @t14 @t13)) % 30.28/31.60 (define @t39 () (tptp.implies @t18 @t13)) % 30.28/31.60 (define @t40 () (tptp.implies tptp.truth @t13)) % 30.28/31.60 (define @t41 () (tptp.implies @t40 @t39)) % 27.26/31.60 (define @t42 () (tptp.implies tptp.truth @t19)) % 27.26/31.60 (define @t43 () (tptp.implies @t42 @t30)) % 27.26/31.60 (define @t44 () (tptp.implies @t13 @t14)) % 27.26/31.60 (define @t45 () (tptp.implies @t44 @t14)) % 27.26/31.60 (define @t46 () (tptp.implies (tptp.implies @t16 @t14) @t45)) % 27.26/31.60 (define @t47 () (tptp.implies @t19 @t14)) % 27.26/31.60 (define @t48 () (tptp.implies @t47 @t24)) % 27.26/31.60 (define @t49 () (tptp.implies @t42 @t21)) % 27.26/31.60 (define @t50 () (tptp.implies tptp.truth @t34)) % 27.26/31.60 (define @t51 () (tptp.implies tptp.truth @t32)) % 27.26/31.60 (define @t52 () (tptp.implies @t32 @t49)) % 27.26/31.60 (define @t53 () (tptp.implies @t24 @t33)) % 27.26/31.60 (define @t54 () (tptp.implies tptp.truth @t43)) % 27.26/31.60 (define @t55 () (tptp.implies @t43 @t52)) % 27.26/31.60 (define @t56 () (= @t15 @t39)) % 27.26/31.60 (define @t57 () (= @t14 @t21)) % 27.26/31.60 (define @t58 () (tptp.implies @t44 @t16)) % 27.26/31.60 (define @t59 () (= tptp.truth @t58)) % 27.26/31.60 (define @t60 () (= tptp.x @t16)) % 27.26/31.60 (define @t61 () (= tptp.truth @t38)) % 27.26/31.60 (define @t62 () (tptp.implies tptp.truth @t15)) % 27.26/31.60 (define @t63 () (= @t15 @t62)) % 27.26/31.60 (define @t64 () (= tptp.truth @t33)) % 27.26/31.60 (define @t65 () (tptp.implies @t39 @t15)) % 27.26/31.60 (define @t66 () (= tptp.truth @t65)) % 27.26/31.60 (define @t67 () (tptp.implies @t30 @t29)) % 27.26/31.60 (define @t68 () (= tptp.truth @t67)) % 27.26/31.60 (define @t69 () (= @t19 @t42)) % 27.26/31.60 (define @t70 () (= @t18 @t24)) % 27.26/31.60 (define @t71 () (= tptp.truth @t48)) % 27.26/31.60 (define @t72 () (= tptp.truth @t53)) % 27.26/31.60 (define @t73 () (tptp.implies @t25 @t18)) % 27.26/31.60 (define @t74 () (tptp.implies @t73 @t24)) % 27.26/31.60 (define @t75 () (tptp.implies tptp.truth @t25)) % 27.26/31.60 (define @t76 () (tptp.implies @t75 @t74)) % 27.26/31.60 (define @t77 () (= tptp.truth @t76)) % 27.26/31.60 (define @t78 () (= @t25 @t75)) % 27.26/31.60 (define @t79 () (= @t13 @t40)) % 27.26/31.60 (define @t80 () (tptp.implies @t19 @t13)) % 27.26/31.60 (define @t81 () (tptp.implies @t80 @t13)) % 27.26/31.60 (define @t82 () (= (tptp.implies @t26 @t19) @t81)) % 27.26/31.60 (define @t83 () (= tptp.truth (tptp.implies @t58 @t46))) % 27.26/31.60 (define @t84 () (tptp.implies @t67 @t34)) % 27.26/31.60 (define @t85 () (= tptp.truth @t84)) % 27.26/31.60 (define @t86 () (tptp.implies tptp.truth @t46)) % 27.26/31.60 (define @t87 () (= @t46 @t86)) % 27.26/31.60 (define @t88 () (= @t45 (tptp.implies tptp.truth @t45))) % 27.26/31.60 (define @t89 () (= @t34 @t50)) % 27.26/31.60 (define @t90 () (= @t32 @t51)) % 27.26/31.60 (define @t91 () (tptp.implies @t18 tptp.truth)) % 27.26/31.60 (define @t92 () (tptp.implies @t91 @t43)) % 27.26/31.60 (define @t93 () (= tptp.truth @t92)) % 27.26/31.60 (define @t94 () (= @t43 @t54)) % 27.26/31.60 (define @t95 () (= tptp.truth @t55)) % 27.26/31.60 (define @t96 () (tptp.implies @t15 @t39)) % 27.26/31.60 (define @t97 () (tptp.implies @t96 @t39)) % 27.26/31.60 (define @t98 () (= (tptp.implies @t65 @t15) @t97)) % 27.26/31.60 (define @t99 () (tptp.implies @t21 @t13)) % 27.26/31.60 (define @t100 () (tptp.implies @t47 @t21)) % 27.26/31.60 (define @t101 () (tptp.implies @t40 @t19)) % 27.26/31.60 (define @t102 () (tptp.implies @t40 @t14)) % 27.26/31.60 (define @t103 () (and @t57 @t59 @t60 @t61 @t63 @t64 @t66 @t68 @t69 @t70 @t71 @t72 @t77 @t78 @t79 @t82 @t83 @t85 @t87 @t88 @t89 @t90 @t93 @t94 @t95 @t98)) % 27.26/31.60 (define @t104 () (not @t95)) % 27.26/31.60 (define @t105 () (not @t94)) % 27.26/31.60 (define @t106 () (not @t93)) % 27.26/31.60 (define @t107 () (not @t90)) % 27.26/31.60 (define @t108 () (not @t89)) % 27.26/31.60 (define @t109 () (not @t85)) % 27.26/31.60 (define @t110 () (not @t79)) % 27.26/31.60 (define @t111 () (not @t78)) % 27.26/31.60 (define @t112 () (not @t77)) % 27.26/31.60 (define @t113 () (not @t72)) % 27.26/31.60 (define @t114 () (not @t71)) % 27.26/31.60 (define @t115 () (not @t70)) % 27.26/31.60 (define @t116 () (not @t69)) % 27.26/31.60 (define @t117 () (not @t68)) % 27.26/31.60 (define @t118 () (not @t66)) % 27.26/31.60 (define @t119 () (not @t64)) % 27.26/31.60 (define @t120 () (not @t63)) % 27.26/31.60 (define @t121 () (not @t61)) % 27.26/31.60 (define @t122 () (not @t60)) % 27.26/31.60 (define @t123 () (not @t57)) % 27.26/31.60 (define @t124 () (= @t18 @t80)) % 27.26/31.60 (define @t125 () (not @t124)) % 27.26/31.60 (define @t126 () (and @t57 @t121 @t64 @t68 @t69 @t70 @t71 @t72 @t77 @t78 @t85 @t89 @t90 @t93 @t94 @t95)) % 27.26/31.60 (define @t127 () (tptp.implies @t15 @t14)) % 27.26/31.60 (define @t128 () (tptp.implies @t127 (tptp.implies @t39 @t14))) % 27.26/31.60 (define @t129 () (tptp.not @t13)) % 27.26/31.60 (define @t130 () (tptp.implies tptp.truth @t16)) % 27.26/31.60 (define @t131 () (= @t16 @t130)) % 27.26/31.60 (define @t132 () (tptp.implies @t14 tptp.x)) % 27.26/31.60 (define @t133 () (= (tptp.implies @t132 tptp.x) @t127)) % 27.26/31.60 (define @t134 () (tptp.implies @t26 @t22)) % 27.26/31.60 (define @t135 () (= tptp.truth @t134)) % 27.26/31.60 (define @t136 () (= tptp.truth (tptp.implies @t91 @t23))) % 27.26/31.60 (define @t137 () (tptp.implies @t13 @t18)) % 27.26/31.60 (define @t138 () (tptp.implies @t137 @t18)) % 27.26/31.60 (define @t139 () (= (tptp.implies @t39 @t13) @t138)) % 27.26/31.60 (define @t140 () (tptp.implies tptp.truth @t20)) % 27.26/31.60 (define @t141 () (= @t20 @t140)) % 27.26/31.60 (define @t142 () (tptp.implies @t21 @t18)) % 27.26/31.60 (define @t143 () (tptp.implies @t18 @t21)) % 27.26/31.60 (define @t144 () (tptp.implies @t143 @t21)) % 27.26/31.60 (define @t145 () (= @t144 (tptp.implies @t142 @t18))) % 27.26/31.60 (define @t146 () (tptp.implies tptp.truth @t23)) % 27.26/31.60 (define @t147 () (= @t23 @t146)) % 27.26/31.60 (define @t148 () (tptp.implies @t28 (tptp.implies tptp.truth @t24))) % 27.26/31.60 (define @t149 () (= tptp.truth (tptp.implies @t42 @t148))) % 27.26/31.60 (define @t150 () (= @t26 (tptp.implies tptp.truth @t26))) % 27.26/31.60 (define @t151 () (tptp.implies @t26 tptp.x)) % 27.26/31.60 (define @t152 () (tptp.implies tptp.x @t26)) % 27.26/31.60 (define @t153 () (tptp.implies @t152 @t26)) % 27.26/31.60 (define @t154 () (= @t153 (tptp.implies @t151 tptp.x))) % 27.26/31.60 (define @t155 () (tptp.not @t19)) % 27.26/31.60 (define @t156 () (tptp.implies @t13 @t155)) % 27.26/31.60 (define @t157 () (tptp.implies @t156 @t31)) % 27.26/31.60 (define @t158 () (= tptp.truth @t157)) % 27.26/31.60 (define @t159 () (tptp.implies @t28 @t27)) % 27.26/31.60 (define @t160 () (tptp.implies @t159 @t37)) % 27.26/31.60 (define @t161 () (= tptp.truth @t160)) % 27.26/31.60 (define @t162 () (= @t31 (tptp.implies tptp.truth @t31))) % 27.26/31.60 (define @t163 () (= @t37 (tptp.implies tptp.truth @t37))) % 27.26/31.60 (define @t164 () (= @t35 (tptp.implies tptp.truth @t35))) % 27.26/31.60 (define @t165 () (= @t38 (tptp.implies tptp.truth @t38))) % 27.26/31.60 (define @t166 () (= tptp.truth (tptp.implies @t65 @t128))) % 27.26/31.60 (define @t167 () (tptp.implies @t91 @t41)) % 27.26/31.60 (define @t168 () (= tptp.truth @t167)) % 27.26/31.60 (define @t169 () (= @t41 (tptp.implies tptp.truth @t41))) % 27.26/31.60 (define @t170 () (= @t27 (tptp.implies tptp.truth @t27))) % 27.26/31.60 (define @t171 () (tptp.implies @t14 @t18)) % 27.26/31.60 (define @t172 () (tptp.implies @t19 @t18)) % 27.26/31.60 (define @t173 () (tptp.implies @t172 @t171)) % 27.26/31.60 (define @t174 () (= tptp.truth @t173)) % 27.26/31.60 (define @t175 () (= tptp.truth (tptp.implies (tptp.implies @t14 tptp.truth) (tptp.implies @t16 @t132)))) % 27.26/31.60 (define @t176 () (= tptp.truth (tptp.implies @t39 (tptp.implies @t137 (tptp.implies @t18 @t18))))) % 27.26/31.60 (define @t177 () (tptp.implies tptp.truth @t128)) % 27.26/31.60 (define @t178 () (= @t128 @t177)) % 27.26/31.60 (define @t179 () (tptp.implies @t129 @t18)) % 27.26/31.60 (define @t180 () (tptp.implies @t179 @t38)) % 27.26/31.60 (define @t181 () (= tptp.truth @t180)) % 27.26/31.60 (define @t182 () (tptp.implies tptp.truth @t129)) % 27.26/31.60 (define @t183 () (= @t129 @t182)) % 27.26/31.60 (define @t184 () (= tptp.truth (tptp.implies @t182 (tptp.implies @t179 @t24)))) % 27.26/31.60 (define @t185 () (= tptp.truth (tptp.implies (tptp.implies @t18 @t129) @t44))) % 27.26/31.60 (define @t186 () (tptp.implies @t129 tptp.x)) % 27.26/31.60 (define @t187 () (tptp.implies @t22 @t186)) % 27.26/31.60 (define @t188 () (tptp.implies @t179 @t187)) % 27.26/31.60 (define @t189 () (= tptp.truth @t188)) % 27.26/31.60 (define @t190 () (tptp.implies @t129 tptp.truth)) % 27.26/31.60 (define @t191 () (tptp.implies @t19 @t148)) % 27.26/31.60 (define @t192 () (tptp.implies tptp.truth @t148)) % 27.26/31.60 (define @t193 () (tptp.implies @t18 @t15)) % 27.26/31.60 (define @t194 () (tptp.implies @t25 tptp.x)) % 27.26/31.60 (define @t195 () (and @t57 @t60 @t131 @t133 @t63 @t64 @t66 @t135 @t68 @t136 @t69 @t139 @t70 @t141 @t145 @t71 @t72 @t147 @t149 @t77 @t78 @t150 @t154 @t158 @t161 @t79 @t85 @t162 @t89 @t163 @t90 @t164 @t165 @t166 @t168 @t93 @t169 @t94 @t170 @t174 @t175 @t95 @t176 @t178 @t181 @t183 @t184 @t185 @t189)) % 27.26/31.60 (assume @p1 @t3) % 27.26/31.60 (assume @p2 @t8) % 27.26/31.60 (assume @p3 (forall @t10 (= (tptp.implies @t6 @t5) (tptp.implies @t9 @t1)))) % 27.26/31.60 (assume @p4 @t12) % 27.26/31.60 (assume @p5 (not (= @t15 @t13))) % 27.26/31.60 (step @p6 :rule eq-symm :args (@t2 @t1)) % 27.26/31.60 (step @p7 :rule cong :premises (@p6) :args (@t3)) % 27.26/31.60 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 27.26/31.60 (step @p9 :rule instantiate :premises (@p8) :args ((@list @t14))) % 27.26/31.60 (step @p10 :rule instantiate :premises (@p8) :args ((@list @t16))) % 27.26/31.60 (step @p11 :rule instantiate :premises (@p8) :args ((@list tptp.x))) % 27.26/31.60 (step @p12 :rule instantiate :premises (@p3) :args (@t17)) % 27.26/31.60 (step @p13 :rule instantiate :premises (@p8) :args ((@list @t15))) % 27.26/31.60 (step @p14 :rule eq-symm :args (@t11 tptp.truth)) % 27.26/31.60 (step @p15 :rule cong :premises (@p14) :args (@t12)) % 27.26/31.60 (step @p16 :rule eq_resolve :premises (@p4 @p15)) % 27.26/31.60 (step @p17 :rule instantiate :premises (@p16) :args ((@list @t14 tptp.truth))) % 27.26/31.60 (step @p18 :rule instantiate :premises (@p16) :args (@t17)) % 27.26/31.60 (step @p19 :rule instantiate :premises (@p16) :args ((@list tptp.x @t18))) % 27.26/31.60 (step @p20 :rule instantiate :premises (@p16) :args ((@list @t14 @t18))) % 27.26/31.60 (step @p21 :rule eq-symm :args (@t7 tptp.truth)) % 27.26/31.60 (step @p22 :rule cong :premises (@p21) :args (@t8)) % 27.26/31.60 (step @p23 :rule eq_resolve :premises (@p2 @p22)) % 27.26/31.60 (step @p24 :rule instantiate :premises (@p23) :args ((@list @t18 tptp.truth tptp.x))) % 27.26/31.60 (step @p25 :rule instantiate :premises (@p8) :args ((@list @t19))) % 27.26/31.60 (step @p26 :rule instantiate :premises (@p3) :args ((@list @t18 @t13))) % 27.26/31.60 (step @p27 :rule instantiate :premises (@p8) :args ((@list @t20))) % 27.26/31.60 (step @p28 :rule instantiate :premises (@p8) :args ((@list @t18))) % 27.26/31.60 (step @p29 :rule instantiate :premises (@p3) :args ((@list @t18 @t21))) % 27.26/31.60 (step @p30 :rule instantiate :premises (@p16) :args ((@list @t18 tptp.truth))) % 27.26/31.60 (step @p31 :rule instantiate :premises (@p23) :args ((@list tptp.truth @t18 @t14))) % 27.26/31.60 (step @p32 :rule instantiate :premises (@p8) :args ((@list @t23))) % 27.26/31.60 (step @p33 :rule instantiate :premises (@p23) :args ((@list tptp.truth @t19 @t24))) % 27.26/31.60 (step @p34 :rule instantiate :premises (@p23) :args ((@list tptp.truth @t25 @t18))) % 27.26/31.60 (step @p35 :rule instantiate :premises (@p8) :args ((@list @t25))) % 27.26/31.60 (step @p36 :rule instantiate :premises (@p8) :args ((@list @t26))) % 27.26/31.60 (step @p37 :rule instantiate :premises (@p3) :args ((@list tptp.x @t26))) % 27.26/31.60 (step @p38 :rule instantiate :premises (@p16) :args ((@list tptp.x @t19))) % 27.26/31.60 (step @p39 :rule instantiate :premises (@p23) :args ((@list @t28 @t27 @t18))) % 27.26/31.60 (step @p40 :rule instantiate :premises (@p8) :args ((@list @t13))) % 27.26/31.60 (step @p41 :rule instantiate :premises (@p23) 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(assume-push @p677 @t69) % 27.26/31.60 (assume-push @p678 @t57) % 27.26/31.60 (assume-push @p679 @t78) % 27.26/31.60 (assume-push @p680 @t71) % 27.26/31.60 (assume-push @p681 @t77) % 27.26/31.60 (assume-push @p682 @t61) % 27.26/31.60 (assume-push @p683 @t82) % 27.26/31.60 (assume-push @p684 @t79) % 27.26/31.60 (assume-push @p685 @t88) % 27.26/31.60 (assume-push @p686 @t83) % 27.26/31.60 (assume-push @p687 @t59) % 27.26/31.60 (assume-push @p688 @t87) % 27.26/31.60 (assume-push @p689 @t60) % 27.26/31.60 (assume-push @p690 @t98) % 27.26/31.60 (assume-push @p691 @t66) % 27.26/31.60 (assume-push @p692 @t63) % 27.26/31.60 (step @p159 :rule symm :premises (@p30)) % 27.26/31.60 (step @p160 :rule cong :premises (@p74 @p28) :args (@t73)) % 27.26/31.60 (step @p161 :rule trans :premises (@p160 @p159)) % 27.26/31.60 (step @p162 :rule cong :premises (@p161 @p66) :args (@t74)) % 27.26/31.60 (step @p163 :rule trans :premises (@p162 @p66)) % 27.26/31.60 (step @p164 :rule symm :premises (@p56)) % 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:premises (@p732)) % 27.26/31.60 (step-pop @p734 :rule scope :premises (@p733)) % 27.26/31.60 (step-pop @p735 :rule scope :premises (@p734)) % 27.26/31.60 (step-pop @p736 :rule scope :premises (@p735)) % 27.26/31.60 (step-pop @p737 :rule scope :premises (@p736)) % 27.26/31.60 (step-pop @p738 :rule scope :premises (@p737)) % 27.26/31.60 (step-pop @p739 :rule scope :premises (@p738)) % 27.26/31.60 (step-pop @p740 :rule scope :premises (@p739)) % 27.26/31.60 (step-pop @p741 :rule scope :premises (@p740)) % 27.26/31.60 (step-pop @p742 :rule scope :premises (@p741)) % 27.26/31.60 (step-pop @p743 :rule scope :premises (@p742)) % 27.26/31.60 (step-pop @p744 :rule scope :premises (@p743)) % 27.26/31.60 (step @p256 :rule process_scope :premises (@p744) :args (@t56)) % 27.26/31.60 (step @p283 :rule implies_elim :premises (@p256)) % 27.26/31.60 (step @p284 :rule cnf_and_neg :args (@t103)) % 27.26/31.60 (step @p285 :rule resolution :premises (@p284 @p283) :args (true @t103)) % 27.26/31.60 (step @p286 :rule reordering :premises (@p285) :args ((or @t123 (not @t59) @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t56 @t112 @t111 @t110 (not @t82) (not @t83) @t109 (not @t87) (not @t88) @t108 @t107 @t106 @t105 @t104 (not @t98)))) % 27.26/31.60 (step @p287 :rule chain_m_resolution :premises (@p286 @p106 @p105 @p56 @p52 @p50 @p45 @p43 @p61 @p60 @p41 @p59 @p58 @p40 @p35 @p34 @p31 @p30 @p28 @p25 @p20 @p18 @p17 @p13 @p11 @p57 @p9) :args (@t121 (@list false true false false false false false false false false false false false false false false false false false false false false false false false false) (@list @t98 @t56 @t95 @t94 @t93 @t90 @t89 @t88 @t87 @t85 @t83 @t82 @t79 @t78 @t77 @t72 @t71 @t70 @t69 @t68 @t66 @t64 @t63 @t60 @t59 @t57))) % 27.26/31.60 (step @p288 :rule refl :args (@t125)) % 27.26/31.60 (step @p289 :rule refl :args (@t104)) % 27.26/31.60 (step @p290 :rule refl :args (@t105)) % 27.26/31.60 (step @p291 :rule refl :args (@t106)) % 27.26/31.60 (step @p292 :rule refl :args (@t107)) % 27.26/31.60 (step @p293 :rule refl :args (@t108)) % 27.26/31.60 (step @p294 :rule refl :args (@t109)) % 27.26/31.60 (step @p295 :rule refl :args (@t111)) % 27.26/31.60 (step @p296 :rule refl :args (@t112)) % 27.26/31.60 (step @p297 :rule refl :args (@t113)) % 27.26/31.60 (step @p298 :rule refl :args (@t114)) % 27.26/31.60 (step @p299 :rule refl :args (@t115)) % 27.26/31.60 (step @p300 :rule refl :args (@t116)) % 27.26/31.60 (step @p301 :rule refl :args (@t117)) % 27.26/31.60 (step @p302 :rule refl :args (@t119)) % 27.26/31.60 (step @p303 :rule bool-double-not-elim :args (@t61)) % 27.26/31.60 (step @p304 :rule refl :args (@t123)) % 27.26/31.60 (step @p305 :rule nary_cong :premises (@p304 @p303 @p302 @p301 @p300 @p299 @p298 @p297 @p296 @p295 @p294 @p293 @p292 @p291 @p290 @p289 @p288) :args ((or @t123 (not @t121) @t119 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t109 @t108 @t107 @t106 @t105 @t104 @t125))) % 27.26/31.60 (assume-push @p745 @t57) % 27.26/31.60 (assume-push @p746 @t121) % 27.26/31.60 (assume-push @p747 @t64) % 27.26/31.60 (assume-push @p748 @t68) % 27.26/31.60 (assume-push @p749 @t69) % 27.26/31.60 (assume-push @p750 @t70) % 27.26/31.60 (assume-push @p751 @t71) % 27.26/31.60 (assume-push @p752 @t72) % 27.26/31.60 (assume-push @p753 @t77) % 27.26/31.60 (assume-push @p754 @t78) % 27.26/31.60 (assume-push @p755 @t85) % 27.26/31.60 (assume-push @p756 @t89) % 27.26/31.60 (assume-push @p757 @t90) % 27.26/31.60 (assume-push @p758 @t93) % 27.26/31.60 (assume-push @p759 @t94) % 27.26/31.60 (assume-push @p760 @t95) % 27.26/31.60 (assume-push @p761 @t121) % 27.26/31.60 (assume-push @p762 @t77) % 27.26/31.60 (assume-push @p763 @t78) % 27.26/31.60 (assume-push @p764 @t57) % 27.26/31.60 (assume-push @p765 @t93) % 27.26/31.60 (assume-push @p766 @t70) % 27.26/31.60 (assume-push @p767 @t64) % 27.26/31.60 (assume-push @p768 @t72) % 27.26/31.60 (assume-push @p769 @t94) % 27.26/31.60 (assume-push @p770 @t85) % 27.26/31.60 (assume-push @p771 @t68) % 27.26/31.60 (assume-push @p772 @t89) % 27.26/31.60 (assume-push @p773 @t90) % 27.26/31.60 (assume-push @p774 @t69) % 27.26/31.60 (assume-push @p775 @t95) % 27.26/31.60 (assume-push @p776 @t71) % 27.26/31.60 (step @p338 :rule false_intro :premises (@p746)) % 27.26/31.60 (step @p189 :rule cong :premises (@p76 @p64) :args (@t99)) % 27.26/31.60 (step @p164 :rule symm :premises (@p56)) % 27.26/31.60 (step @p165 :rule cong :premises (@p25 @p9) :args (@t47)) % 27.26/31.60 (step @p166 :rule trans :premises (@p74 @p165)) % 27.26/31.60 (step @p167 :rule symm :premises (@p45)) % 27.26/31.60 (step @p168 :rule cong :premises (@p90 @p83) :args (@t34)) % 27.26/31.60 (step @p169 :rule symm :premises (@p43)) % 27.26/31.60 (step @p170 :rule symm :premises (@p20)) % 27.26/31.60 (step @p171 :rule cong :premises (@p170 @p81) :args (@t84)) % 27.26/31.60 (step @p172 :rule trans :premises (@p41 @p171 @p169 @p168 @p167)) % 27.26/31.60 (step @p173 :rule cong :premises (@p172 @p166) :args (@t75)) % 27.26/31.60 (step @p174 :rule trans :premises (@p35 @p173)) % 27.26/31.60 (step @p175 :rule symm :premises (@p52)) % 27.26/31.60 (step @p176 :rule symm :premises (@p31)) % 27.26/31.60 (step @p177 :rule cong :premises (@p28 @p17) :args (@t91)) % 27.26/31.60 (step @p178 :rule trans :premises (@p177 @p176)) % 27.26/31.60 (step @p179 :rule cong :premises (@p178 @p89) :args (@t92)) % 27.26/31.60 (step @p180 :rule trans :premises (@p50 @p179 @p175)) % 27.26/31.60 (step @p181 :rule cong :premises (@p180 @p174) :args (@t75)) % 27.26/31.60 (step @p182 :rule trans :premises (@p35 @p181 @p164)) % 27.26/31.60 (step @p192 :rule trans :premises (@p68 @p182)) % 27.26/31.60 (step @p193 :rule cong :premises (@p192 @p76) :args (@t100)) % 27.26/31.60 (step @p194 :rule trans :premises (@p193 @p76)) % 27.26/31.60 (step @p195 :rule symm :premises (@p193)) % 27.26/31.60 (step @p196 :rule cong :premises (@p99) :args (@t19)) % 27.26/31.60 (step @p197 :rule trans :premises (@p196 @p9 @p195)) % 27.26/31.60 (step 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27.26/31.60 (step-pop @p787 :rule scope :premises (@p786)) % 27.26/31.60 (step-pop @p788 :rule scope :premises (@p787)) % 27.26/31.60 (step-pop @p789 :rule scope :premises (@p788)) % 27.26/31.60 (step-pop @p790 :rule scope :premises (@p789)) % 27.26/31.60 (step-pop @p791 :rule scope :premises (@p790)) % 27.26/31.60 (step-pop @p792 :rule scope :premises (@p791)) % 27.26/31.60 (step @p342 :rule process_scope :premises (@p792) :args (@t125)) % 27.26/31.60 (step @p359 :rule and_intro :premises (@p746 @p34 @p35 @p9 @p50 @p28 @p17 @p31 @p52 @p41 @p20 @p43 @p45 @p25 @p56 @p30)) % 27.26/31.60 (step @p360 :rule modus_ponens :premises (@p359 @p342)) % 27.26/31.60 (step-pop @p793 :rule scope :premises (@p360)) % 27.26/31.60 (step-pop @p794 :rule scope :premises (@p793)) % 27.26/31.60 (step-pop @p795 :rule scope :premises (@p794)) % 27.26/31.60 (step-pop @p796 :rule scope :premises (@p795)) % 27.26/31.60 (step-pop @p797 :rule scope :premises (@p796)) % 27.26/31.60 (step-pop @p798 :rule scope 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(step @p382 :rule reordering :premises (@p381) :args ((or @t123 @t61 @t119 @t117 @t116 @t115 @t114 @t113 @t125 @t112 @t111 @t109 @t108 @t107 @t106 @t105 @t104))) % 27.26/31.60 (step @p383 :rule chain_m_resolution :premises (@p382 @p9 @p287 @p17 @p20 @p25 @p28 @p30 @p31 @p34 @p35 @p41 @p43 @p45 @p50 @p52 @p56) :args (@t125 (@list false true false false false false false false false false false false false false false false) (@list @t57 @t61 @t64 @t68 @t69 @t70 @t71 @t72 @t77 @t78 @t85 @t89 @t90 @t93 @t94 @t95))) % 27.26/31.60 (step @p384 :rule instantiate :premises (@p23) :args ((@list @t18 @t13 @t18))) % 27.26/31.60 (step @p385 :rule instantiate :premises (@p8) :args ((@list @t128))) % 27.26/31.60 (step @p386 :rule instantiate :premises (@p16) :args ((@list @t13 @t14))) % 27.26/31.60 (step @p387 :rule instantiate :premises (@p8) :args ((@list @t129))) % 27.26/31.60 (step @p388 :rule instantiate :premises (@p23) :args ((@list tptp.truth @t129 @t18))) % 27.26/31.60 (step @p389 :rule instantiate :premises (@p16) :args ((@list @t14 @t13))) % 27.26/31.60 (step @p390 :rule instantiate :premises (@p23) :args ((@list @t129 @t18 tptp.x))) % 27.26/31.60 (assume-push @p809 @t57) % 27.26/31.60 (assume-push @p810 @t60) % 27.26/31.60 (assume-push @p811 @t131) % 27.26/31.60 (assume-push @p812 @t133) % 27.26/31.60 (assume-push @p813 @t63) % 27.26/31.60 (assume-push @p814 @t64) % 27.26/31.60 (assume-push @p815 @t66) % 27.26/31.60 (assume-push @p816 @t135) % 27.26/31.60 (assume-push @p817 @t68) % 27.26/31.60 (assume-push @p818 @t136) % 27.26/31.60 (assume-push @p819 @t69) % 27.26/31.60 (assume-push @p820 @t139) % 27.26/31.60 (assume-push @p821 @t70) % 27.26/31.60 (assume-push @p822 @t141) % 27.26/31.60 (assume-push @p823 @t145) % 27.26/31.60 (assume-push @p824 @t71) % 27.26/31.60 (assume-push @p825 @t72) % 27.26/31.60 (assume-push @p826 @t147) % 27.26/31.60 (assume-push @p827 @t149) % 27.26/31.60 (assume-push @p828 @t77) % 27.26/31.60 (assume-push @p829 @t78) % 27.26/31.60 (assume-push @p830 @t150) % 27.26/31.60 (assume-push @p831 @t154) % 27.26/31.60 (assume-push @p832 @t158) % 27.26/31.60 (assume-push @p833 @t161) % 27.26/31.60 (assume-push @p834 @t79) % 27.26/31.60 (assume-push @p835 @t85) % 27.26/31.60 (assume-push @p836 @t162) % 27.26/31.60 (assume-push @p837 @t89) % 27.26/31.60 (assume-push @p838 @t163) % 27.26/31.60 (assume-push @p839 @t90) % 27.26/31.60 (assume-push @p840 @t164) % 27.26/31.60 (assume-push @p841 @t165) % 27.26/31.60 (assume-push @p842 @t166) % 27.26/31.60 (assume-push @p843 @t168) % 27.26/31.60 (assume-push @p844 @t93) % 27.26/31.60 (assume-push @p845 @t169) % 27.26/31.60 (assume-push @p846 @t94) % 27.26/31.60 (assume-push @p847 @t170) % 27.26/31.60 (assume-push @p848 @t174) % 27.26/31.60 (assume-push @p849 @t175) % 27.26/31.60 (assume-push @p850 @t95) % 27.26/31.60 (assume-push @p851 @t176) % 27.26/31.60 (assume-push @p852 @t178) % 27.26/31.60 (assume-push @p853 @t181) % 27.26/31.60 (assume-push @p854 @t183) % 27.26/31.60 (assume-push @p855 @t184) % 27.26/31.60 (assume-push @p856 @t185) % 27.26/31.60 (assume-push @p857 @t189) % 27.26/31.60 (step @p196 :rule cong :premises (@p99) :args (@t19)) % 27.26/31.60 (step @p203 :rule symm :premises (@p196)) % 27.26/31.60 (step @p164 :rule symm :premises (@p56)) % 27.26/31.60 (step @p165 :rule cong :premises (@p25 @p9) :args (@t47)) % 27.26/31.60 (step @p166 :rule trans :premises (@p74 @p165)) % 27.26/31.60 (step @p167 :rule symm :premises (@p45)) % 27.26/31.60 (step @p168 :rule cong :premises (@p90 @p83) :args (@t34)) % 27.26/31.60 (step @p169 :rule symm :premises (@p43)) % 27.26/31.60 (step @p170 :rule symm :premises (@p20)) % 27.26/31.60 (step @p171 :rule cong :premises (@p170 @p81) :args (@t84)) % 27.26/31.60 (step @p172 :rule trans :premises (@p41 @p171 @p169 @p168 @p167)) % 27.26/31.60 (step @p173 :rule cong :premises (@p172 @p166) :args (@t75)) % 27.26/31.60 (step @p174 :rule trans :premises (@p35 @p173)) % 27.26/31.60 (step @p175 :rule symm :premises (@p52)) % 27.26/31.60 (step @p176 :rule symm :premises (@p31)) % 27.26/31.60 (step @p177 :rule cong :premises (@p28 @p17) :args (@t91)) % 27.26/31.60 (step @p178 :rule trans :premises (@p177 @p176)) % 27.26/31.60 (step @p179 :rule cong :premises (@p178 @p89) :args (@t92)) % 27.26/31.60 (step @p180 :rule trans :premises (@p50 @p179 @p175)) % 27.26/31.60 (step @p181 :rule cong :premises (@p180 @p174) :args (@t75)) % 27.26/31.60 (step @p182 :rule trans :premises (@p35 @p181 @p164)) % 27.26/31.60 (step @p192 :rule trans :premises (@p68 @p182)) % 27.26/31.60 (step @p193 :rule cong :premises (@p192 @p76) :args (@t100)) % 27.26/31.60 (step @p440 :rule trans :premises (@p193 @p76 @p203)) % 27.26/31.60 (step @p195 :rule symm :premises (@p193)) % 27.26/31.60 (step @p441 :rule trans :premises (@p9 @p195)) % 27.26/31.60 (step @p442 :rule trans :premises (@p76 @p441 @p440)) % 27.26/31.60 (step @p443 :rule cong :premises (@p442 @p64) :args (@t99)) % 27.26/31.60 (step @p189 :rule cong :premises (@p76 @p64) :args (@t99)) % 27.26/31.60 (step @p191 :rule symm :premises (@p189)) % 27.26/31.60 (step @p444 :rule symm :premises (@p47)) % 27.26/31.60 (step @p445 :rule refl :args (@t38)) % 27.26/31.60 (step @p446 :rule symm :premises (@p388)) % 27.26/31.60 (step @p159 :rule symm :premises (@p30)) % 27.26/31.60 (step @p160 :rule cong :premises (@p74 @p28) :args (@t73)) % 27.26/31.60 (step @p161 :rule trans :premises (@p160 @p159)) % 27.26/31.60 (step @p162 :rule cong :premises (@p161 @p66) :args (@t74)) % 27.26/31.60 (step @p163 :rule trans :premises (@p162 @p66)) % 27.26/31.60 (step @p183 :rule trans :premises (@p75 @p74)) % 27.26/31.60 (step @p184 :rule trans :premises (@p183 @p68 @p182)) % 27.26/31.60 (step @p185 :rule cong :premises (@p184 @p163) :args (@t76)) % 27.26/31.60 (step @p447 :rule trans :premises (@p34 @p185)) % 27.26/31.60 (step @p186 :rule trans :premises (@p34 @p185 @p66)) % 27.26/31.60 (step @p448 :rule refl :args (@t129)) % 27.26/31.60 (step @p449 :rule cong :premises (@p448 @p186) :args (@t190)) % 27.26/31.60 (step @p450 :rule cong :premises (@p449 @p447) :args ((tptp.implies @t190 tptp.truth))) % 27.26/31.60 (step @p451 :rule symm :premises (@p55)) % 27.26/31.60 (step @p452 :rule refl :args (tptp.x)) % 27.26/31.60 (step @p453 :rule cong :premises (@p196 @p452) :args (@t31)) % 27.26/31.60 (step @p454 :rule symm :premises (@p42)) % 27.26/31.60 (step @p455 :rule refl :args (@t31)) % 27.26/31.60 (step @p456 :rule symm :premises (@p384)) % 27.26/31.60 (step @p457 :rule cong :premises (@p186 @p186) :args ((tptp.implies tptp.truth tptp.truth))) % 27.26/31.60 (step @p458 :rule symm :premises (@p24)) % 27.26/31.60 (step @p459 :rule refl :args (@t23)) % 27.26/31.60 (step @p460 :rule cong :premises (@p92 @p459) :args (@t146)) % 27.26/31.60 (step @p461 :rule trans :premises (@p32 @p460 @p458)) % 27.26/31.60 (step @p462 :rule refl :args (tptp.truth)) % 27.26/31.60 (step @p463 :rule cong :premises (@p462 @p461) :args (@t146)) % 27.26/31.60 (step @p464 :rule symm :premises (@p460)) % 27.26/31.60 (step @p465 :rule trans :premises (@p28 @p98 @p65 @p24 @p464 @p463 @p457)) % 27.26/31.60 (step @p466 :rule refl :args (@t137)) % 27.26/31.60 (step @p467 :rule cong :premises (@p466 @p465) :args (@t138)) % 27.26/31.60 (step @p187 :rule cong :premises (@p186 @p64) :args (@t40)) % 27.26/31.60 (step @p468 :rule trans :premises (@p40 @p187)) % 27.26/31.60 (step @p469 :rule cong :premises (@p468 @p64) :args ((tptp.implies @t13 @t13))) % 27.26/31.60 (step @p470 :rule cong :premises (@p63 @p101) :args (@t41)) % 27.26/31.60 (step @p471 :rule symm :premises (@p51)) % 27.26/31.60 (step @p472 :rule refl :args (@t41)) % 27.26/31.60 (step @p473 :rule cong :premises (@p178 @p472) :args (@t167)) % 27.26/31.60 (step @p474 :rule trans :premises (@p28 @p98 @p65 @p49 @p473 @p471 @p470 @p469 @p26 @p467)) % 27.26/31.60 (step @p475 :rule cong :premises (@p468 @p474) :args (@t137)) % 27.26/31.60 (step @p476 :rule cong :premises (@p196) :args (@t155)) % 27.26/31.60 (step @p477 :rule cong :premises (@p64 @p476) :args (@t156)) % 27.26/31.60 (step @p478 :rule trans :premises (@p477 @p475 @p456)) % 27.26/31.60 (step @p479 :rule cong :premises (@p478 @p455) :args (@t157)) % 27.26/31.60 (step @p480 :rule trans :premises (@p38 @p479 @p454 @p453)) % 27.26/31.60 (step @p481 :rule cong :premises (@p11 @p480) :args ((tptp.implies tptp.x tptp.truth))) % 27.26/31.60 (step @p482 :rule symm :premises (@p11)) % 27.26/31.60 (step @p483 :rule cong :premises (@p482 @p99) :args ((tptp.implies @t16 @t18))) % 27.26/31.60 (step @p484 :rule refl :args (@t18)) % 27.26/31.60 (step @p485 :rule cong :premises (@p11 @p484) :args (@t20)) % 27.26/31.60 (step @p486 :rule trans :premises (@p485 @p483 @p481)) % 27.26/31.60 (step @p487 :rule cong :premises (@p76 @p99) :args (@t142)) % 27.26/31.60 (step @p488 :rule cong :premises (@p9 @p484) :args (@t171)) % 27.26/31.60 (step @p489 :rule trans :premises (@p488 @p487)) % 27.26/31.60 (step @p490 :rule symm :premises (@p488)) % 27.26/31.60 (step @p207 :rule refl :args (@t14)) % 27.26/31.60 (step @p491 :rule cong :premises (@p207 @p66) :args (@t27)) % 27.26/31.60 (step @p492 :rule symm :premises (@p53)) % 27.26/31.60 (step @p493 :rule symm :premises (@p491)) % 27.26/31.60 (step @p494 :rule symm :premises (@p33)) % 27.26/31.60 (step @p495 :rule refl :args (@t148)) % 27.26/31.60 (step @p496 :rule cong :premises (@p25 @p495) :args (@t191)) % 27.26/31.60 (step @p497 :rule cong :premises (@p462 @p28) :args (@t24)) % 27.26/31.60 (step @p498 :rule trans :premises (@p28 @p497)) % 27.26/31.60 (step @p499 :rule refl :args (@t28)) % 27.26/31.60 (step @p500 :rule cong :premises (@p499 @p498) :args (@t35)) % 27.26/31.60 (step @p501 :rule symm :premises (@p46)) % 27.26/31.60 (step @p502 :rule refl :args (@t35)) % 27.26/31.60 (step @p503 :rule refl :args (@t21)) % 27.26/31.60 (step @p504 :rule cong :premises (@p484 @p76) :args (@t143)) % 27.26/31.60 (step @p505 :rule cong :premises (@p504 @p503) :args (@t144)) % 27.26/31.60 (step @p506 :rule symm :premises (@p29)) % 27.26/31.60 (step @p507 :rule trans :premises (@p491 @p488)) % 27.26/31.60 (step @p508 :rule cong :premises (@p507 @p484) :args (@t36)) % 27.26/31.60 (step @p509 :rule trans :premises (@p508 @p506 @p505 @p90)) % 27.26/31.60 (step @p510 :rule cong :premises (@p509 @p502) :args (@t37)) % 27.26/31.60 (step @p511 :rule symm :premises (@p44)) % 27.26/31.60 (step @p512 :rule symm :premises (@p500)) % 27.26/31.60 (step @p513 :rule symm :premises (@p509)) % 27.26/31.60 (step @p514 :rule cong :premises (@p513 @p512) :args (@t192)) % 27.26/31.60 (step @p515 :rule trans :premises (@p496 @p494)) % 27.26/31.60 (step @p516 :rule cong :premises (@p515 @p514) :args ((tptp.implies @t191 @t192))) % 27.26/31.60 (step @p517 :rule symm :premises (@p514)) % 27.26/31.60 (step @p518 :rule symm :premises (@p515)) % 27.26/31.60 (step @p519 :rule symm :premises (@p54)) % 27.26/31.60 (step @p520 :rule cong :premises (@p67 @p66) :args (@t28)) % 27.26/31.60 (step @p521 :rule cong :premises (@p520 @p491) :args (@t159)) % 27.26/31.60 (step @p522 :rule trans :premises (@p521 @p519)) % 27.26/31.60 (step @p523 :rule trans :premises (@p522 @p518)) % 27.26/31.60 (step @p524 :rule cong :premises (@p523 @p517) :args (@t160)) % 27.26/31.60 (step @p525 :rule trans :premises (@p28 @p98 @p65 @p39 @p524 @p516 @p511 @p510 @p501 @p500)) % 27.26/31.60 (step @p526 :rule cong :premises (@p67 @p525) :args (@t172)) % 27.26/31.60 (step @p527 :rule trans :premises (@p526 @p496 @p494)) % 27.26/31.60 (step @p528 :rule cong :premises (@p527 @p493) :args (@t173)) % 27.26/31.60 (step @p529 :rule trans :premises (@p54 @p528 @p492 @p491 @p488)) % 27.26/31.60 (step @p530 :rule trans :premises (@p529 @p490 @p489)) % 27.26/31.60 (step @p531 :rule cong :premises (@p530 @p486) :args (@t140)) % 27.26/31.60 (step @p532 :rule symm :premises (@p485)) % 27.26/31.60 (step @p533 :rule symm :premises (@p483)) % 27.26/31.60 (step @p534 :rule symm :premises (@p389)) % 27.26/31.60 (step @p535 :rule cong :premises (@p63 @p207) :args (@t102)) % 27.26/31.60 (step @p205 :rule refl :args (@t40)) % 27.26/31.60 (step @p536 :rule cong :premises (@p205 @p196) :args (@t101)) % 27.26/31.60 (step @p537 :rule cong :premises (@p40 @p67) :args (@t26)) % 27.26/31.60 (step @p538 :rule symm :premises (@p36)) % 27.26/31.60 (step @p539 :rule refl :args (@t26)) % 27.26/31.60 (step @p540 :rule symm :premises (@p48)) % 27.26/31.60 (step @p541 :rule refl :args (@t128)) % 27.26/31.60 (step @p542 :rule cong :premises (@p18 @p541) :args (@t177)) % 27.26/31.60 (step @p543 :rule refl :args (@t39)) % 27.26/31.60 (step @p544 :rule cong :premises (@p543 @p196) :args ((tptp.implies @t39 @t19))) % 27.26/31.60 (step @p545 :rule cong :premises (@p187 @p203) :args (@t102)) % 27.26/31.60 (step @p546 :rule trans :premises (@p537 @p536 @p545 @p544)) % 27.26/31.60 (step @p547 :rule symm :premises (@p13)) % 27.26/31.60 (step @p548 :rule cong :premises (@p99 @p102) :args (@t193)) % 27.26/31.60 (step @p549 :rule trans :premises (@p548 @p547)) % 27.26/31.60 (step @p550 :rule cong :premises (@p549 @p196) :args ((tptp.implies @t193 @t19))) % 27.26/31.60 (step @p551 :rule symm :premises (@p550)) % 27.26/31.60 (step @p552 :rule cong :premises (@p480 @p482) :args (@t130)) % 27.26/31.60 (step @p553 :rule trans :premises (@p11 @p10 @p552 @p12 @p551)) % 27.26/31.60 (step @p554 :rule trans :premises (@p553 @p550)) % 27.26/31.60 (step @p555 :rule cong :premises (@p554 @p546) :args (@t152)) % 27.26/31.60 (step @p556 :rule trans :premises (@p555 @p385 @p542 @p540)) % 27.26/31.60 (step @p557 :rule cong :premises (@p556 @p539) :args (@t153)) % 27.26/31.60 (step @p558 :rule symm :premises (@p37)) % 27.26/31.60 (step @p559 :rule symm :premises (@p10)) % 27.26/31.60 (step @p560 :rule cong :premises (@p182 @p11) :args (@t194)) % 27.26/31.60 (step @p561 :rule trans :premises (@p560 @p559 @p482)) % 27.26/31.60 (step @p562 :rule refl :args (@t151)) % 27.26/31.60 (step @p563 :rule cong :premises (@p562 @p561) :args ((tptp.implies @t151 @t194))) % 27.26/31.60 (step @p564 :rule symm :premises (@p560)) % 27.26/31.60 (step @p565 :rule trans :premises (@p10 @p564)) % 27.26/31.60 (step @p566 :rule cong :premises (@p99 @p11) :args (@t22)) % 27.26/31.60 (step @p567 :rule trans :premises (@p566 @p559 @p482)) % 27.26/31.60 (step @p568 :rule cong :premises (@p539 @p567) :args (@t134)) % 27.26/31.60 (step @p569 :rule trans :premises (@p19 @p568)) % 27.26/31.60 (step @p570 :rule cong :premises (@p569 @p565) :args (@t130)) % 27.26/31.60 (step @p571 :rule trans :premises (@p11 @p10 @p570 @p563 @p558 @p557 @p538 @p537 @p536 @p535)) % 27.26/31.60 (step @p572 :rule cong :premises (@p186 @p448) :args (@t182)) % 27.26/31.60 (step @p573 :rule trans :premises (@p387 @p572)) % 27.26/31.60 (step @p574 :rule cong :premises (@p573 @p571) :args (@t186)) % 27.26/31.60 (step @p575 :rule trans :premises (@p574 @p534)) % 27.26/31.60 (step @p576 :rule cong :premises (@p567 @p575) :args (@t187)) % 27.26/31.60 (step @p577 :rule trans :premises (@p576 @p533 @p532 @p27 @p531 @p451)) % 27.26/31.60 (step @p578 :rule symm :premises (@p449)) % 27.26/31.60 (step @p579 :rule cong :premises (@p578 @p577) :args (@t188)) % 27.26/31.60 (step @p580 :rule trans :premises (@p28 @p98 @p65 @p390 @p579 @p450)) % 27.26/31.60 (step @p581 :rule cong :premises (@p387 @p580) :args (@t179)) % 27.26/31.60 (step @p582 :rule trans :premises (@p449 @p581 @p446)) % 27.26/31.60 (step @p583 :rule trans :premises (@p578 @p582)) % 27.26/31.60 (step @p584 :rule cong :premises (@p583 @p445) :args (@t180)) % 27.26/31.60 (step @p585 :rule trans :premises (@p28 @p98 @p65 @p386 @p584 @p444 @p191 @p443)) % 27.26/31.60 (step-pop @p858 :rule scope :premises (@p585)) % 27.26/31.60 (step-pop @p859 :rule scope :premises (@p858)) % 27.26/31.60 (step-pop @p860 :rule scope :premises (@p859)) % 27.26/31.60 (step-pop @p861 :rule scope :premises (@p860)) % 27.26/31.60 (step-pop @p862 :rule scope :premises (@p861)) % 27.26/31.60 (step-pop @p863 :rule scope :premises (@p862)) % 27.26/31.60 (step-pop @p864 :rule scope :premises (@p863)) % 27.26/31.60 (step-pop @p865 :rule scope :premises (@p864)) % 27.26/31.60 (step-pop @p866 :rule scope :premises (@p865)) % 27.26/31.60 (step-pop @p867 :rule scope :premises (@p866)) % 27.26/31.60 (step-pop @p868 :rule scope :premises (@p867)) % 27.26/31.60 (step-pop @p869 :rule scope :premises (@p868)) % 27.26/31.60 (step-pop @p870 :rule scope :premises (@p869)) % 27.26/31.60 (step-pop @p871 :rule scope :premises (@p870)) % 27.26/31.60 (step-pop @p872 :rule scope :premises (@p871)) % 27.26/31.60 (step-pop @p873 :rule scope :premises (@p872)) % 27.26/31.60 (step-pop @p874 :rule scope :premises (@p873)) % 27.26/31.60 (step-pop @p875 :rule scope :premises (@p874)) % 27.26/31.60 (step-pop @p876 :rule scope :premises (@p875)) % 27.26/31.60 (step-pop @p877 :rule scope :premises (@p876)) % 27.26/31.60 (step-pop @p878 :rule scope :premises (@p877)) % 27.26/31.60 (step-pop @p879 :rule scope :premises (@p878)) % 27.26/31.60 (step-pop @p880 :rule scope :premises (@p879)) % 27.26/31.60 (step-pop @p881 :rule scope :premises (@p880)) % 27.26/31.60 (step-pop @p882 :rule scope :premises (@p881)) % 27.26/31.60 (step-pop @p883 :rule scope :premises (@p882)) % 27.26/31.60 (step-pop @p884 :rule scope :premises (@p883)) % 27.26/31.60 (step-pop @p885 :rule scope :premises (@p884)) % 27.26/31.60 (step-pop @p886 :rule scope :premises (@p885)) % 27.26/31.60 (step-pop @p887 :rule scope :premises (@p886)) % 27.26/31.60 (step-pop @p888 :rule scope :premises (@p887)) % 27.26/31.60 (step-pop @p889 :rule scope :premises (@p888)) % 27.26/31.60 (step-pop @p890 :rule scope :premises (@p889)) % 27.26/31.60 (step-pop @p891 :rule scope :premises (@p890)) % 27.26/31.60 (step-pop @p892 :rule scope :premises (@p891)) % 27.26/31.60 (step-pop @p893 :rule scope :premises (@p892)) % 27.26/31.60 (step-pop @p894 :rule scope :premises (@p893)) % 27.26/31.60 (step-pop @p895 :rule scope :premises (@p894)) % 27.26/31.60 (step-pop @p896 :rule scope :premises (@p895)) % 27.26/31.60 (step-pop @p897 :rule scope :premises (@p896)) % 27.26/31.60 (step-pop @p898 :rule scope :premises (@p897)) % 27.26/31.60 (step-pop @p899 :rule scope :premises (@p898)) % 27.26/31.60 (step-pop @p900 :rule scope :premises (@p899)) % 27.26/31.60 (step-pop @p901 :rule scope :premises (@p900)) % 27.26/31.60 (step-pop @p902 :rule scope :premises (@p901)) % 27.26/31.60 (step-pop @p903 :rule scope :premises (@p902)) % 27.26/31.60 (step-pop @p904 :rule scope :premises (@p903)) % 27.26/31.60 (step-pop @p905 :rule scope :premises (@p904)) % 27.26/31.60 (step-pop @p906 :rule scope :premises (@p905)) % 27.26/31.60 (step @p586 :rule process_scope :premises (@p906) :args (@t124)) % 27.26/31.60 (step @p636 :rule implies_elim :premises (@p586)) % 27.26/31.60 (step @p637 :rule cnf_and_neg :args (@t195)) % 27.26/31.60 (step @p638 :rule resolution :premises (@p637 @p636) :args (true @t195)) % 27.26/31.60 (step @p639 :rule reordering :premises (@p638) :args ((or @t123 (not @t131) @t122 (not @t133) @t120 @t119 @t118 (not @t135) @t117 (not @t136) @t116 (not @t139) (not @t141) @t115 (not @t145) @t114 @t113 (not @t147) @t124 (not @t149) @t112 @t111 (not @t150) (not @t154) (not @t158) (not @t161) @t110 @t109 (not @t162) @t108 (not @t163) @t107 (not @t164) (not @t165) (not @t166) (not @t168) @t106 (not @t169) @t105 (not @t170) (not @t174) (not @t175) @t104 (not @t176) (not @t178) (not @t181) (not @t183) (not @t184) (not @t185) (not @t189)))) % 27.26/31.60 (step @p640 false :rule chain_m_resolution :premises (@p639 @p390 @p389 @p388 @p387 @p386 @p385 @p384 @p383 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p20 @p19 @p18 @p17 @p13 @p12 @p11 @p10 @p9) :args (false (@list false false false false false false false true false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false) (@list @t189 @t185 @t184 @t183 @t181 @t178 @t176 @t124 @t95 @t175 @t174 @t170 @t94 @t169 @t93 @t168 @t166 @t165 @t164 @t90 @t163 @t89 @t162 @t85 @t79 @t161 @t158 @t154 @t150 @t78 @t77 @t149 @t147 @t72 @t71 @t145 @t70 @t141 @t139 @t69 @t136 @t68 @t135 @t66 @t64 @t63 @t133 @t60 @t131 @t57))) % 27.26/31.60 ) % 27.26/31.60 % SZS output end Proof % 27.26/31.61 % cvc5 exiting %------------------------------------------------------------------------------