%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP222-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:20:14 AM UTC 2026 % Result : Unsatisfiable 28.14s 28.62s % Output : Proof 28.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP222-1 : TPTP v9.2.1. Released v2.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 00:58:11 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/16.25 --- Run --no-e-matching --full-saturate-quant at 6... % 22.02/22.27 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.04/28.29 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.14/28.62 % SZS status Unsatisfiable % 28.14/28.62 % SZS output start Proof % 28.14/28.63 ( % 28.14/28.63 (declare-sort $$unsorted 0) % 28.14/28.63 (declare-const tptp.sk_c3 $$unsorted) % 28.14/28.63 (declare-const tptp.sk_c1 $$unsorted) % 28.14/28.63 (declare-const tptp.sk_c4 $$unsorted) % 28.14/28.63 (declare-const tptp.sk_c7 $$unsorted) % 28.14/28.63 (declare-const tptp.sk_c6 $$unsorted) % 28.14/28.63 (declare-const tptp.sk_c2 $$unsorted) % 28.14/28.63 (declare-const tptp.sk_c5 $$unsorted) % 28.14/28.63 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 28.14/28.63 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 28.14/28.63 (declare-const tptp.identity $$unsorted) % 28.14/28.63 (define @t1 () (@var "X" $$unsorted)) % 28.14/28.63 (define @t2 () (tptp.multiply tptp.identity @t1)) % 28.14/28.63 (define @t3 () (@list @t1)) % 28.14/28.63 (define @t4 () (forall @t3 (= @t2 @t1))) % 28.14/28.63 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 28.14/28.63 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 28.14/28.63 (define @t7 () (@var "Z" $$unsorted)) % 28.14/28.63 (define @t8 () (@var "Y" $$unsorted)) % 28.14/28.63 (define @t9 () (tptp.multiply tptp.sk_c4 tptp.sk_c7)) % 28.14/28.63 (define @t10 () (= @t9 tptp.sk_c6)) % 28.14/28.63 (define @t11 () (tptp.inverse tptp.sk_c1)) % 28.14/28.63 (define @t12 () (= @t11 tptp.sk_c7)) % 28.14/28.63 (define @t13 () (or @t12 @t10)) % 28.14/28.63 (define @t14 () (tptp.inverse tptp.sk_c4)) % 28.14/28.63 (define @t15 () (= @t14 tptp.sk_c7)) % 28.14/28.63 (define @t16 () (or @t12 @t15)) % 28.14/28.63 (define @t17 () (tptp.inverse tptp.sk_c5)) % 28.14/28.63 (define @t18 () (= @t17 tptp.sk_c7)) % 28.14/28.63 (define @t19 () (or @t12 @t18)) % 28.14/28.63 (define @t20 () (tptp.multiply tptp.sk_c5 tptp.sk_c6)) % 28.14/28.63 (define @t21 () (= @t20 tptp.sk_c7)) % 28.14/28.63 (define @t22 () (or @t12 @t21)) % 28.14/28.63 (define @t23 () (tptp.multiply tptp.sk_c1 tptp.sk_c6)) % 28.14/28.63 (define @t24 () (= @t23 tptp.sk_c7)) % 28.14/28.63 (define @t25 () (or @t24 @t10)) % 28.14/28.63 (define @t26 () (or @t24 @t15)) % 28.14/28.63 (define @t27 () (or @t24 @t18)) % 28.14/28.63 (define @t28 () (or @t24 @t21)) % 28.14/28.63 (define @t29 () (tptp.multiply tptp.sk_c2 tptp.sk_c3)) % 28.14/28.63 (define @t30 () (= @t29 tptp.sk_c6)) % 28.14/28.63 (define @t31 () (or @t30 @t10)) % 28.14/28.63 (define @t32 () (or @t30 @t15)) % 28.14/28.63 (define @t33 () (tptp.inverse tptp.sk_c2)) % 28.14/28.63 (define @t34 () (= @t33 tptp.sk_c3)) % 28.14/28.63 (define @t35 () (or @t34 @t10)) % 28.14/28.63 (define @t36 () (or @t34 @t15)) % 28.14/28.63 (define @t37 () (tptp.multiply tptp.sk_c3 tptp.sk_c7)) % 28.14/28.63 (define @t38 () (= @t37 tptp.sk_c6)) % 28.14/28.63 (define @t39 () (or @t38 @t10)) % 28.14/28.63 (define @t40 () (or @t38 @t15)) % 28.14/28.63 (define @t41 () (@var "X2" $$unsorted)) % 28.14/28.63 (define @t42 () (tptp.multiply @t41 tptp.sk_c6)) % 28.14/28.63 (define @t43 () (not (= @t42 tptp.sk_c7))) % 28.14/28.63 (define @t44 () (tptp.inverse @t41)) % 28.14/28.63 (define @t45 () (not (= @t44 tptp.sk_c7))) % 28.14/28.63 (define @t46 () (@var "X1" $$unsorted)) % 28.14/28.63 (define @t47 () (tptp.inverse @t46)) % 28.14/28.63 (define @t48 () (not (= @t47 tptp.sk_c7))) % 28.14/28.63 (define @t49 () (tptp.multiply @t46 tptp.sk_c7)) % 28.14/28.63 (define @t50 () (not (= @t49 tptp.sk_c6))) % 28.14/28.63 (define @t51 () (@var "X5" $$unsorted)) % 28.14/28.63 (define @t52 () (tptp.multiply @t51 tptp.sk_c7)) % 28.14/28.63 (define @t53 () (not (= @t52 tptp.sk_c6))) % 28.14/28.63 (define @t54 () (@var "X4" $$unsorted)) % 28.14/28.63 (define @t55 () (tptp.inverse @t54)) % 28.14/28.63 (define @t56 () (not (= @t55 @t51))) % 28.14/28.63 (define @t57 () (tptp.multiply @t54 @t51)) % 28.14/28.63 (define @t58 () (not (= @t57 tptp.sk_c6))) % 28.14/28.63 (define @t59 () (@var "X3" $$unsorted)) % 28.14/28.63 (define @t60 () (tptp.multiply @t59 tptp.sk_c6)) % 28.14/28.63 (define @t61 () (not (= @t60 tptp.sk_c7))) % 28.14/28.63 (define @t62 () (tptp.inverse @t59)) % 28.14/28.63 (define @t63 () (not (= @t62 tptp.sk_c7))) % 28.14/28.63 (define @t64 () (or @t63 @t61 @t58 @t56 @t53 @t50 @t48 @t45 @t43)) % 28.14/28.63 (define @t65 () (@list @t59 @t54 @t51 @t46 @t41)) % 28.14/28.63 (define @t66 () (forall @t65 @t64)) % 28.14/28.63 (define @t67 () (@list tptp.sk_c5)) % 28.14/28.63 (define @t68 () (= tptp.sk_c7 @t23)) % 28.14/28.63 (define @t69 () (= tptp.sk_c6 @t9)) % 28.14/28.63 (define @t70 () (= tptp.sk_c7 @t14)) % 28.14/28.63 (define @t71 () (= tptp.sk_c7 @t17)) % 28.14/28.63 (define @t72 () (= tptp.sk_c7 @t20)) % 28.14/28.63 (define @t73 () (not @t70)) % 28.14/28.63 (define @t74 () (not @t69)) % 28.14/28.63 (define @t75 () (or @t74 @t73)) % 28.14/28.63 (define @t76 () (not @t75)) % 28.14/28.63 (define @t77 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 @t14))) % 28.14/28.63 (define @t78 () (and @t69 @t70)) % 28.14/28.63 (define @t79 () (not @t72)) % 28.14/28.63 (define @t80 () (not @t71)) % 28.14/28.63 (define @t81 () (or @t80 @t79)) % 28.14/28.63 (define @t82 () (not @t81)) % 28.14/28.63 (define @t83 () (not (= tptp.sk_c7 @t47))) % 28.14/28.63 (define @t84 () (not (= tptp.sk_c6 @t49))) % 28.14/28.63 (define @t85 () (or @t84 @t83)) % 28.14/28.63 (define @t86 () (forall (@list @t46) @t85)) % 28.14/28.63 (define @t87 () (@list tptp.sk_c4)) % 28.14/28.63 (define @t88 () (not (= tptp.sk_c7 @t60))) % 28.14/28.63 (define @t89 () (not (= tptp.sk_c7 @t62))) % 28.14/28.63 (define @t90 () (or @t89 @t88)) % 28.14/28.63 (define @t91 () (forall (@list @t59) @t90)) % 28.14/28.63 (define @t92 () (not (= tptp.sk_c7 @t42))) % 28.14/28.63 (define @t93 () (not (= tptp.sk_c7 @t44))) % 28.14/28.63 (define @t94 () (or @t93 @t92)) % 28.14/28.63 (define @t95 () (forall (@list @t41) @t94)) % 28.14/28.63 (define @t96 () (not (= tptp.sk_c6 (tptp.multiply @t55 tptp.sk_c7)))) % 28.14/28.63 (define @t97 () (not (= tptp.sk_c6 (tptp.multiply @t54 @t55)))) % 28.14/28.63 (define @t98 () (or @t97 @t96)) % 28.14/28.63 (define @t99 () (not (= @t55 @t55))) % 28.14/28.63 (define @t100 () (or @t97 @t99 @t96)) % 28.14/28.63 (define @t101 () (@list @t54)) % 28.14/28.63 (define @t102 () (not (= tptp.sk_c6 @t52))) % 28.14/28.63 (define @t103 () (not (= @t51 @t55))) % 28.14/28.63 (define @t104 () (not (= tptp.sk_c6 @t57))) % 28.14/28.63 (define @t105 () (or @t103 @t104 @t103 @t102)) % 28.14/28.63 (define @t106 () (@list @t51)) % 28.14/28.63 (define @t107 () (or @t104 @t103 @t102)) % 28.14/28.63 (define @t108 () (forall @t106 @t107)) % 28.14/28.63 (define @t109 () (forall @t101 @t108)) % 28.14/28.63 (define @t110 () (forall (@list @t54 @t51) @t107)) % 28.14/28.63 (define @t111 () (or @t91 @t110 @t86 @t95)) % 28.14/28.63 (define @t112 () (or @t90 @t107 @t85 @t94)) % 28.14/28.63 (define @t113 () (or @t89 @t88 @t104 @t103 @t102 @t84 @t83 @t93 @t92)) % 28.14/28.63 (define @t114 () (forall @t101 @t98)) % 28.14/28.63 (define @t115 () (= tptp.sk_c6 (tptp.multiply @t14 tptp.sk_c7))) % 28.14/28.63 (define @t116 () (not @t115)) % 28.14/28.63 (define @t117 () (not @t77)) % 28.14/28.63 (define @t118 () (or @t117 @t116)) % 28.14/28.63 (define @t119 () (not @t118)) % 28.14/28.63 (define @t120 () (tptp.multiply tptp.identity tptp.sk_c6)) % 28.14/28.63 (define @t121 () (= tptp.sk_c6 @t120)) % 28.14/28.63 (define @t122 () (tptp.multiply @t17 tptp.sk_c5)) % 28.14/28.63 (define @t123 () (= tptp.identity @t122)) % 28.14/28.63 (define @t124 () (tptp.multiply @t17 @t20)) % 28.14/28.63 (define @t125 () (= (tptp.multiply @t122 tptp.sk_c6) @t124)) % 28.14/28.63 (define @t126 () (tptp.multiply tptp.sk_c7 tptp.sk_c7)) % 28.14/28.63 (define @t127 () (and @t70 @t71 @t72 @t121 @t123 @t125)) % 28.14/28.63 (define @t128 () (not @t121)) % 28.14/28.63 (define @t129 () (not @t68)) % 28.14/28.63 (define @t130 () (= tptp.sk_c7 @t11)) % 28.14/28.63 (define @t131 () (not @t130)) % 28.14/28.63 (define @t132 () (or @t131 @t129)) % 28.14/28.63 (define @t133 () (@list tptp.sk_c1)) % 28.14/28.63 (define @t134 () (= tptp.sk_c3 @t33)) % 28.14/28.63 (define @t135 () (tptp.multiply @t11 tptp.sk_c1)) % 28.14/28.63 (define @t136 () (= tptp.identity @t135)) % 28.14/28.63 (define @t137 () (tptp.multiply tptp.sk_c7 @t23)) % 28.14/28.63 (define @t138 () (tptp.multiply tptp.sk_c7 tptp.sk_c1)) % 28.14/28.63 (define @t139 () (tptp.multiply @t138 tptp.sk_c6)) % 28.14/28.63 (define @t140 () (= @t139 @t137)) % 28.14/28.63 (define @t141 () (and @t130 @t70 @t68 @t121 @t136 @t140)) % 28.14/28.63 (define @t142 () (@list tptp.sk_c7)) % 28.14/28.63 (define @t143 () (tptp.inverse tptp.sk_c7)) % 28.14/28.63 (define @t144 () (tptp.multiply tptp.sk_c7 tptp.sk_c6)) % 28.14/28.63 (define @t145 () (@list tptp.sk_c2)) % 28.14/28.63 (define @t146 () (tptp.multiply tptp.sk_c3 tptp.sk_c6)) % 28.14/28.63 (define @t147 () (tptp.multiply tptp.sk_c6 tptp.sk_c6)) % 28.14/28.63 (define @t148 () (= tptp.sk_c6 @t29)) % 28.14/28.63 (define @t149 () (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) % 28.14/28.63 (define @t150 () (tptp.multiply @t143 tptp.sk_c7)) % 28.14/28.63 (define @t151 () (= tptp.identity @t150)) % 28.14/28.63 (define @t152 () (tptp.multiply @t143 @t144)) % 28.14/28.63 (define @t153 () (= (tptp.multiply @t150 tptp.sk_c6) @t152)) % 28.14/28.63 (define @t154 () (tptp.multiply @t150 tptp.sk_c7)) % 28.14/28.63 (define @t155 () (= @t154 (tptp.multiply @t143 @t126))) % 28.14/28.63 (define @t156 () (tptp.multiply tptp.sk_c6 tptp.sk_c7)) % 28.14/28.63 (define @t157 () (tptp.multiply @t23 tptp.sk_c7)) % 28.14/28.63 (define @t158 () (= @t157 (tptp.multiply tptp.sk_c1 @t156))) % 28.14/28.63 (define @t159 () (tptp.multiply tptp.sk_c1 @t147)) % 28.14/28.63 (define @t160 () (= (tptp.multiply @t23 tptp.sk_c6) @t159)) % 28.14/28.63 (define @t161 () (tptp.multiply tptp.sk_c2 @t146)) % 28.14/28.63 (define @t162 () (= (tptp.multiply @t29 tptp.sk_c6) @t161)) % 28.14/28.63 (define @t163 () (tptp.multiply @t144 tptp.sk_c7)) % 28.14/28.63 (define @t164 () (tptp.multiply @t143 @t163)) % 28.14/28.63 (define @t165 () (= (tptp.multiply @t152 tptp.sk_c7) @t164)) % 28.14/28.63 (define @t166 () (tptp.multiply @t29 tptp.sk_c7)) % 28.14/28.63 (define @t167 () (= @t166 (tptp.multiply tptp.sk_c2 @t37))) % 28.14/28.63 (define @t168 () (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) % 28.14/28.63 (define @t169 () (= tptp.identity (tptp.multiply @t33 tptp.sk_c2))) % 28.14/28.63 (define @t170 () (tptp.multiply tptp.sk_c3 tptp.sk_c2)) % 28.14/28.63 (define @t171 () (tptp.multiply @t170 tptp.sk_c3)) % 28.14/28.63 (define @t172 () (= @t171 (tptp.multiply tptp.sk_c3 @t29))) % 28.14/28.63 (define @t173 () (tptp.multiply @t146 tptp.sk_c7)) % 28.14/28.63 (define @t174 () (tptp.multiply tptp.sk_c2 @t173)) % 28.14/28.63 (define @t175 () (= (tptp.multiply @t161 tptp.sk_c7) @t174)) % 28.14/28.63 (define @t176 () (tptp.multiply @t147 tptp.sk_c7)) % 28.14/28.63 (define @t177 () (tptp.multiply tptp.sk_c1 @t176)) % 28.14/28.63 (define @t178 () (= (tptp.multiply @t159 tptp.sk_c7) @t177)) % 28.14/28.63 (define @t179 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) % 28.14/28.63 (define @t180 () (and @t130 @t68 @t148 @t134 @t149 @t151 @t121 @t153 @t155 @t136 @t158 @t140 @t160 @t162 @t165 @t167 @t168 @t169 @t172 @t175 @t178)) % 28.14/28.63 (define @t181 () (not @t134)) % 28.14/28.63 (define @t182 () (not @t148)) % 28.14/28.63 (define @t183 () (not @t179)) % 28.14/28.63 (define @t184 () (or @t183 @t131)) % 28.14/28.63 (define @t185 () (= tptp.sk_c6 (tptp.multiply @t33 tptp.sk_c7))) % 28.14/28.63 (define @t186 () (not @t185)) % 28.14/28.63 (define @t187 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 @t33))) % 28.14/28.63 (define @t188 () (not @t187)) % 28.14/28.63 (define @t189 () (or @t188 @t186)) % 28.14/28.63 (define @t190 () (= tptp.sk_c6 @t37)) % 28.14/28.63 (define @t191 () (and @t134 @t190)) % 28.14/28.63 (define @t192 () (and @t148 @t134)) % 28.14/28.63 (define @t193 () (not @t189)) % 28.14/28.63 (define @t194 () (@list false false)) % 28.14/28.63 (define @t195 () (@list true)) % 28.14/28.63 (define @t196 () (@list @t130)) % 28.14/28.63 (define @t197 () (@list @t69 @t70)) % 28.14/28.63 (assume @p1 @t4) % 28.14/28.63 (assume @p2 @t6) % 28.14/28.63 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 28.14/28.63 (assume @p4 @t13) % 28.14/28.63 (assume @p5 @t16) % 28.14/28.63 (assume @p6 @t19) % 28.14/28.63 (assume @p7 @t22) % 28.14/28.63 (assume @p8 @t25) % 28.14/28.63 (assume @p9 @t26) % 28.14/28.63 (assume @p10 @t27) % 28.14/28.63 (assume @p11 @t28) % 28.14/28.63 (assume @p12 @t31) % 28.14/28.63 (assume @p13 @t32) % 28.14/28.63 (assume @p14 (or @t30 @t18)) % 28.14/28.63 (assume @p15 (or @t30 @t21)) % 28.14/28.63 (assume @p16 @t35) % 28.14/28.63 (assume @p17 @t36) % 28.14/28.63 (assume @p18 (or @t34 @t18)) % 28.14/28.63 (assume @p19 (or @t34 @t21)) % 28.14/28.63 (assume @p20 @t39) % 28.14/28.63 (assume @p21 @t40) % 28.14/28.63 (assume @p22 (or @t38 @t18)) % 28.14/28.63 (assume @p23 (or @t38 @t21)) % 28.14/28.63 (assume @p24 @t66) % 28.14/28.63 (step @p25 :rule instantiate :premises (@p3) :args ((@list @t17 tptp.sk_c5 tptp.sk_c6))) % 28.14/28.63 (step @p26 :rule eq-symm :args (@t5 tptp.identity)) % 28.14/28.63 (step @p27 :rule cong :premises (@p26) :args (@t6)) % 28.14/28.63 (step @p28 :rule eq_resolve :premises (@p2 @p27)) % 28.14/28.63 (step @p29 :rule instantiate :premises (@p28) :args (@t67)) % 28.14/28.63 (step @p30 :rule eq-symm :args (@t2 @t1)) % 28.14/28.63 (step @p31 :rule cong :premises (@p30) :args (@t4)) % 28.14/28.63 (step @p32 :rule eq_resolve :premises (@p1 @p31)) % 28.14/28.63 (step @p33 :rule instantiate :premises (@p32) :args ((@list tptp.sk_c6))) % 28.14/28.63 (step @p34 :rule eq-symm :args (@t9 tptp.sk_c6)) % 28.14/28.63 (step @p35 :rule eq-symm :args (@t23 tptp.sk_c7)) % 28.14/28.63 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t25)) % 28.14/28.63 (step @p37 :rule eq_resolve :premises (@p8 @p36)) % 28.14/28.63 (step @p38 :rule reordering :premises (@p37) :args ((or @t69 @t68))) % 28.14/28.63 (step @p39 :rule eq-symm :args (@t14 tptp.sk_c7)) % 28.14/28.63 (step @p40 :rule nary_cong :premises (@p35 @p39) :args (@t26)) % 28.14/28.63 (step @p41 :rule eq_resolve :premises (@p9 @p40)) % 28.14/28.63 (step @p42 :rule reordering :premises (@p41) :args ((or @t70 @t68))) % 28.14/28.63 (step @p43 :rule eq-symm :args (@t17 tptp.sk_c7)) % 28.14/28.63 (step @p44 :rule nary_cong :premises (@p35 @p43) :args (@t27)) % 28.14/28.63 (step @p45 :rule eq_resolve :premises (@p10 @p44)) % 28.14/28.63 (step @p46 :rule reordering :premises (@p45) :args ((or @t71 @t68))) % 28.14/28.63 (step @p47 :rule eq-symm :args (@t20 tptp.sk_c7)) % 28.14/28.63 (step @p48 :rule nary_cong :premises (@p35 @p47) :args (@t28)) % 28.14/28.63 (step @p49 :rule eq_resolve :premises (@p11 @p48)) % 28.14/28.63 (step @p50 :rule reordering :premises (@p49) :args ((or @t72 @t68))) % 28.14/28.63 (step @p51 :rule cnf_or_pos :args (@t75)) % 28.14/28.63 (step @p52 :rule reordering :premises (@p51) :args ((or @t74 @t73 @t76))) % 28.14/28.63 (assume-push @p490 @t69) % 28.14/28.63 (assume-push @p491 @t70) % 28.14/28.63 (assume-push @p492 @t70) % 28.14/28.63 (assume-push @p493 @t69) % 28.14/28.63 (step @p57 :rule refl :args (tptp.sk_c4)) % 28.14/28.63 (step @p58 :rule cong :premises (@p57 @p491) :args (@t9)) % 28.14/28.63 (step @p59 :rule trans :premises (@p490 @p58)) % 28.14/28.63 (step-pop @p494 :rule scope :premises (@p59)) % 28.14/28.63 (step-pop @p495 :rule scope :premises (@p494)) % 28.14/28.63 (step @p60 :rule process_scope :premises (@p495) :args (@t77)) % 28.14/28.63 (step @p63 :rule and_intro :premises (@p491 @p490)) % 28.14/28.63 (step @p64 :rule modus_ponens :premises (@p63 @p60)) % 28.14/28.63 (step-pop @p496 :rule scope :premises (@p64)) % 28.14/28.63 (step-pop @p497 :rule scope :premises (@p496)) % 28.14/28.63 (step @p65 :rule process_scope :premises (@p497) :args (@t77)) % 28.14/28.63 (step @p68 :rule implies_elim :premises (@p65)) % 28.14/28.63 (step @p69 :rule cnf_and_neg :args (@t78)) % 28.14/28.63 (step @p70 :rule resolution :premises (@p69 @p68) :args (true @t78)) % 28.14/28.63 (step @p71 :rule cnf_or_pos :args (@t81)) % 28.14/28.63 (step @p72 :rule reordering :premises (@p71) :args ((or @t80 @t79 @t82))) % 28.14/28.63 (assume-push @p498 @t86) % 28.14/28.63 (step @p74 :rule instantiate :premises (@p498) :args (@t87)) % 28.14/28.63 (step-pop @p499 :rule scope :premises (@p74)) % 28.14/28.63 (step @p75 :rule process_scope :premises (@p499) :args (@t75)) % 28.14/28.63 (step @p77 :rule implies_elim :premises (@p75)) % 28.14/28.63 (assume-push @p500 @t91) % 28.14/28.63 (step @p79 :rule instantiate :premises (@p500) :args (@t67)) % 28.14/28.63 (step-pop @p501 :rule scope :premises (@p79)) % 28.14/28.63 (step @p80 :rule process_scope :premises (@p501) :args (@t81)) % 28.14/28.63 (step @p82 :rule implies_elim :premises (@p80)) % 28.14/28.63 (step @p83 :rule alpha_equiv :args (@t91 (@list @t59) (@list @t41))) % 28.14/28.63 (step @p84 :rule equiv_elim2 :premises (@p83)) % 28.14/28.63 (step @p85 :rule refl :args (@t95)) % 28.14/28.63 (step @p86 :rule refl :args (@t86)) % 28.14/28.63 (step @p87 :rule aci_norm :args ((= (or @t97 false @t96) @t98))) % 28.14/28.63 (step @p88 :rule refl :args (@t96)) % 28.14/28.63 (step @p89 :rule evaluate :args ((not true))) % 28.14/28.63 (step @p90 :rule eq-refl :args (@t55)) % 28.14/28.63 (step @p91 :rule cong :premises (@p90) :args (@t99)) % 28.14/28.63 (step @p92 :rule trans :premises (@p91 @p89)) % 28.14/28.63 (step @p93 :rule refl :args (@t97)) % 28.14/28.63 (step @p94 :rule nary_cong :premises (@p93 @p92 @p88) :args (@t100)) % 28.14/28.63 (step @p95 :rule trans :premises (@p94 @p87)) % 28.14/28.63 (step @p96 :rule cong :premises (@p95) :args ((forall @t101 @t100))) % 28.14/28.63 (step @p97 :rule quant-var-elim-eq :args ((= (forall @t106 @t105) @t100))) % 28.14/28.63 (step @p98 :rule aci_norm :args ((= @t107 @t105))) % 28.14/28.63 (step @p99 :rule cong :premises (@p98) :args (@t108)) % 28.14/28.63 (step @p100 :rule trans :premises (@p99 @p97)) % 28.14/28.63 (step @p101 :rule cong :premises (@p100) :args (@t109)) % 28.14/28.63 (step @p102 :rule quant-merge-prenex :args ((= @t109 @t110))) % 28.14/28.63 (step @p103 :rule symm :premises (@p102)) % 28.14/28.63 (step @p104 :rule trans :premises (@p103 @p101)) % 28.14/28.63 (step @p105 :rule trans :premises (@p104 @p96)) % 28.14/28.63 (step @p106 :rule refl :args (@t91)) % 28.14/28.63 (step @p107 :rule nary_cong :premises (@p106 @p105 @p86 @p85) :args (@t111)) % 28.14/28.63 (step @p108 :rule quant-miniscope-or :args ((= (forall @t65 @t112) @t111))) % 28.14/28.63 (step @p109 :rule aci_norm :args ((= @t113 @t112))) % 28.14/28.63 (step @p110 :rule cong :premises (@p109) :args ((forall @t65 @t113))) % 28.14/28.63 (step @p111 :rule trans :premises (@p110 @p108)) % 28.14/28.63 (step @p112 :rule trans :premises (@p111 @p107)) % 28.14/28.63 (step @p113 :rule eq-symm :args (@t42 tptp.sk_c7)) % 28.14/28.63 (step @p114 :rule cong :premises (@p113) :args (@t43)) % 28.14/28.63 (step @p115 :rule eq-symm :args (@t44 tptp.sk_c7)) % 28.14/28.63 (step @p116 :rule cong :premises (@p115) :args (@t45)) % 28.14/28.63 (step @p117 :rule eq-symm :args (@t47 tptp.sk_c7)) % 28.14/28.63 (step @p118 :rule cong :premises (@p117) :args (@t48)) % 28.14/28.63 (step @p119 :rule eq-symm :args (@t49 tptp.sk_c6)) % 28.14/28.63 (step @p120 :rule cong :premises (@p119) :args (@t50)) % 28.14/28.63 (step @p121 :rule eq-symm :args (@t52 tptp.sk_c6)) % 28.14/28.63 (step @p122 :rule cong :premises (@p121) :args (@t53)) % 28.14/28.63 (step @p123 :rule eq-symm :args (@t55 @t51)) % 28.14/28.63 (step @p124 :rule cong :premises (@p123) :args (@t56)) % 28.14/28.63 (step @p125 :rule eq-symm :args (@t57 tptp.sk_c6)) % 28.14/28.63 (step @p126 :rule cong :premises (@p125) :args (@t58)) % 28.14/28.63 (step @p127 :rule eq-symm :args (@t60 tptp.sk_c7)) % 28.14/28.63 (step @p128 :rule cong :premises (@p127) :args (@t61)) % 28.14/28.63 (step @p129 :rule eq-symm :args (@t62 tptp.sk_c7)) % 28.14/28.63 (step @p130 :rule cong :premises (@p129) :args (@t63)) % 28.14/28.63 (step @p131 :rule nary_cong :premises (@p130 @p128 @p126 @p124 @p122 @p120 @p118 @p116 @p114) :args (@t64)) % 28.14/28.63 (step @p132 :rule cong :premises (@p131) :args (@t66)) % 28.14/28.63 (step @p133 :rule trans :premises (@p132 @p112)) % 28.14/28.63 (step @p134 :rule eq_resolve :premises (@p24 @p133)) % 28.14/28.63 (step @p135 :rule reordering :premises (@p134) :args ((or @t91 @t86 @t95 @t114))) % 28.14/28.63 (assume-push @p502 @t114) % 28.14/28.63 (step @p137 :rule instantiate :premises (@p502) :args (@t87)) % 28.14/28.63 (step-pop @p503 :rule scope :premises (@p137)) % 28.14/28.63 (step @p138 :rule process_scope :premises (@p503) :args (@t118)) % 28.14/28.63 (step @p140 :rule implies_elim :premises (@p138)) % 28.14/28.63 (step @p141 :rule cnf_or_pos :args (@t118)) % 28.14/28.63 (step @p142 :rule reordering :premises (@p141) :args ((or @t117 @t116 @t119))) % 28.14/28.63 (assume-push @p504 @t70) % 28.14/28.63 (assume-push @p505 @t71) % 28.14/28.63 (assume-push @p506 @t72) % 28.14/28.63 (assume-push @p507 @t121) % 28.14/28.63 (assume-push @p508 @t123) % 28.14/28.63 (assume-push @p509 @t125) % 28.14/28.63 (assume-push @p510 @t70) % 28.14/28.63 (assume-push @p511 @t71) % 28.14/28.63 (assume-push @p512 @t72) % 28.14/28.63 (assume-push @p513 @t125) % 28.14/28.63 (assume-push @p514 @t123) % 28.14/28.63 (assume-push @p515 @t121) % 28.14/28.63 (step @p155 :rule refl :args (tptp.sk_c7)) % 28.14/28.63 (step @p156 :rule cong :premises (@p504 @p155) :args (@t126)) % 28.14/28.63 (step @p157 :rule symm :premises (@p506)) % 28.14/28.63 (step @p158 :rule symm :premises (@p505)) % 28.14/28.63 (step @p159 :rule cong :premises (@p158 @p157) :args (@t124)) % 28.14/28.63 (step @p160 :rule refl :args (tptp.sk_c6)) % 28.14/28.63 (step @p161 :rule cong :premises (@p29 @p160) :args (@t120)) % 28.14/28.63 (step @p162 :rule trans :premises (@p33 @p161 @p25 @p159 @p156)) % 28.14/28.63 (step-pop @p516 :rule scope :premises (@p162)) % 28.14/28.63 (step-pop @p517 :rule scope :premises (@p516)) % 28.14/28.63 (step-pop @p518 :rule scope :premises (@p517)) % 28.14/28.63 (step-pop @p519 :rule scope :premises (@p518)) % 28.14/28.63 (step-pop @p520 :rule scope :premises (@p519)) % 28.14/28.63 (step-pop @p521 :rule scope :premises (@p520)) % 28.14/28.63 (step @p163 :rule process_scope :premises (@p521) :args (@t115)) % 28.14/28.63 (step @p170 :rule and_intro :premises (@p504 @p505 @p506 @p25 @p29 @p33)) % 28.14/28.63 (step @p171 :rule modus_ponens :premises (@p170 @p163)) % 28.14/28.63 (step-pop @p522 :rule scope :premises (@p171)) % 28.14/28.63 (step-pop @p523 :rule scope :premises (@p522)) % 28.14/28.63 (step-pop @p524 :rule scope :premises (@p523)) % 28.14/28.63 (step-pop @p525 :rule scope :premises (@p524)) % 28.14/28.63 (step-pop @p526 :rule scope :premises (@p525)) % 28.14/28.63 (step-pop @p527 :rule scope :premises (@p526)) % 28.14/28.63 (step @p172 :rule process_scope :premises (@p527) :args (@t115)) % 28.14/28.63 (step @p179 :rule implies_elim :premises (@p172)) % 28.14/28.63 (step @p180 :rule cnf_and_neg :args (@t127)) % 28.14/28.63 (step @p181 :rule resolution :premises (@p180 @p179) :args (true @t127)) % 28.14/28.63 (step @p182 :rule reordering :premises (@p181) :args ((or @t73 @t80 @t79 @t128 @t115 (not @t123) (not @t125)))) % 28.14/28.63 (step @p183 :rule chain_m_resolution :premises (@p182 @p25 @p29 @p33 @p142 @p140 @p135 @p84 @p82 @p77 @p72 @p70 @p52 @p50 @p46 @p42 @p38) :args (@t68 (@list false false false true false false true true true true false true false false false false) (@list @t125 @t123 @t121 @t115 @t118 @t114 @t95 @t91 @t86 @t81 @t77 @t75 @t72 @t71 @t70 @t69))) % 28.14/28.63 (step @p184 :rule cnf_or_pos :args (@t132)) % 28.14/28.63 (step @p185 :rule reordering :premises (@p184) :args ((or @t131 @t129 (not @t132)))) % 28.14/28.63 (assume-push @p528 @t91) % 28.14/28.63 (step @p187 :rule instantiate :premises (@p528) :args (@t133)) % 28.14/28.63 (step-pop @p529 :rule scope :premises (@p187)) % 28.14/28.63 (step @p188 :rule process_scope :premises (@p529) :args (@t132)) % 28.14/28.63 (step @p190 :rule implies_elim :premises (@p188)) % 28.14/28.63 (step @p191 :rule eq-symm :args (@t33 tptp.sk_c3)) % 28.14/28.63 (step @p192 :rule nary_cong :premises (@p191 @p34) :args (@t35)) % 28.14/28.63 (step @p193 :rule eq_resolve :premises (@p16 @p192)) % 28.14/28.63 (step @p194 :rule reordering :premises (@p193) :args ((or @t69 @t134))) % 28.14/28.63 (step @p195 :rule nary_cong :premises (@p191 @p39) :args (@t36)) % 28.14/28.63 (step @p196 :rule eq_resolve :premises (@p17 @p195)) % 28.14/28.63 (step @p197 :rule reordering :premises (@p196) :args ((or @t70 @t134))) % 28.14/28.63 (step @p198 :rule instantiate :premises (@p28) :args (@t133)) % 28.14/28.63 (step @p199 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 tptp.sk_c1 tptp.sk_c6))) % 28.14/28.63 (assume-push @p530 @t130) % 28.14/28.63 (assume-push @p531 @t70) % 28.14/28.63 (assume-push @p532 @t68) % 28.14/28.63 (assume-push @p533 @t121) % 28.14/28.63 (assume-push @p534 @t136) % 28.14/28.63 (assume-push @p535 @t140) % 28.14/28.63 (assume-push @p536 @t70) % 28.14/28.63 (assume-push @p537 @t68) % 28.14/28.63 (assume-push @p538 @t140) % 28.14/28.63 (assume-push @p539 @t130) % 28.14/28.63 (assume-push @p540 @t136) % 28.14/28.63 (assume-push @p541 @t121) % 28.14/28.63 (step @p155 :rule refl :args (tptp.sk_c7)) % 28.14/28.63 (step @p212 :rule cong :premises (@p531 @p155) :args (@t126)) % 28.14/28.63 (step @p213 :rule symm :premises (@p532)) % 28.14/28.63 (step @p214 :rule cong :premises (@p155 @p213) :args (@t137)) % 28.14/28.63 (step @p160 :rule refl :args (tptp.sk_c6)) % 28.14/28.63 (step @p215 :rule refl :args (tptp.sk_c1)) % 28.14/28.63 (step @p216 :rule symm :premises (@p530)) % 28.14/28.63 (step @p217 :rule cong :premises (@p216 @p215) :args (@t135)) % 28.14/28.63 (step @p218 :rule trans :premises (@p198 @p217)) % 28.14/28.63 (step @p219 :rule cong :premises (@p218 @p160) :args (@t120)) % 28.14/28.63 (step @p220 :rule trans :premises (@p33 @p219 @p199 @p214 @p212)) % 28.14/28.63 (step-pop @p542 :rule scope :premises (@p220)) % 28.14/28.63 (step-pop @p543 :rule scope :premises (@p542)) % 28.14/28.63 (step-pop @p544 :rule scope :premises (@p543)) % 28.14/28.63 (step-pop @p545 :rule scope :premises (@p544)) % 28.14/28.63 (step-pop @p546 :rule scope :premises (@p545)) % 28.14/28.63 (step-pop @p547 :rule scope :premises (@p546)) % 28.14/28.63 (step @p221 :rule process_scope :premises (@p547) :args (@t115)) % 28.14/28.63 (step @p228 :rule and_intro :premises (@p531 @p532 @p199 @p530 @p198 @p33)) % 28.14/28.63 (step @p229 :rule modus_ponens :premises (@p228 @p221)) % 28.14/28.63 (step-pop @p548 :rule scope :premises (@p229)) % 28.14/28.63 (step-pop @p549 :rule scope :premises (@p548)) % 28.14/28.63 (step-pop @p550 :rule scope :premises (@p549)) % 28.14/28.63 (step-pop @p551 :rule scope :premises (@p550)) % 28.14/28.63 (step-pop @p552 :rule scope :premises (@p551)) % 28.14/28.63 (step-pop @p553 :rule scope :premises (@p552)) % 28.14/28.63 (step @p230 :rule process_scope :premises (@p553) :args (@t115)) % 28.14/28.63 (step @p237 :rule implies_elim :premises (@p230)) % 28.14/28.63 (step @p238 :rule cnf_and_neg :args (@t141)) % 28.14/28.63 (step @p239 :rule resolution :premises (@p238 @p237) :args (true @t141)) % 28.14/28.63 (step @p240 :rule chain_m_resolution :premises (@p140 @p135 @p142 @p77 @p239 @p199 @p198 @p33 @p70 @p52 @p197 @p194 @p84 @p190 @p185) :args ((or @t134 @t131 @t129) (@list false true true false false false false false true false false true true true) (@list @t114 @t118 @t86 @t115 @t140 @t136 @t121 @t77 @t75 @t70 @t69 @t95 @t91 @t132))) % 28.14/28.63 (step @p241 :rule instantiate :premises (@p32) :args (@t142)) % 28.14/28.63 (step @p242 :rule instantiate :premises (@p28) :args (@t142)) % 28.14/28.63 (step @p243 :rule instantiate :premises (@p3) :args ((@list @t143 tptp.sk_c7 tptp.sk_c6))) % 28.14/28.63 (step @p244 :rule instantiate :premises (@p3) :args ((@list @t143 tptp.sk_c7 tptp.sk_c7))) % 28.14/28.63 (step @p245 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c1 tptp.sk_c6 tptp.sk_c7))) % 28.14/28.63 (step @p246 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c1 tptp.sk_c6 tptp.sk_c6))) % 28.14/28.63 (step @p247 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c2 tptp.sk_c3 tptp.sk_c6))) % 28.14/28.63 (step @p248 :rule instantiate :premises (@p3) :args ((@list @t143 @t144 tptp.sk_c7))) % 28.14/28.63 (step @p249 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c2 tptp.sk_c3 tptp.sk_c7))) % 28.14/28.63 (step @p250 :rule instantiate :premises (@p32) :args ((@list tptp.sk_c3))) % 28.14/28.63 (step @p251 :rule instantiate :premises (@p28) :args (@t145)) % 28.14/28.63 (step @p252 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c3 tptp.sk_c2 tptp.sk_c3))) % 28.14/28.63 (step @p253 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c2 @t146 tptp.sk_c7))) % 28.14/28.63 (step @p254 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c1 @t147 tptp.sk_c7))) % 28.14/28.63 (assume-push @p554 @t130) % 28.14/28.63 (assume-push @p555 @t68) % 28.14/28.63 (assume-push @p556 @t148) % 28.14/28.63 (assume-push @p557 @t134) % 28.14/28.63 (assume-push @p558 @t149) % 28.14/28.63 (assume-push @p559 @t151) % 28.14/28.63 (assume-push @p560 @t121) % 28.14/28.63 (assume-push @p561 @t153) % 28.14/28.63 (assume-push @p562 @t155) % 28.14/28.63 (assume-push @p563 @t136) % 28.14/28.63 (assume-push @p564 @t158) % 28.14/28.63 (assume-push @p565 @t140) % 28.14/28.63 (assume-push @p566 @t160) % 28.14/28.63 (assume-push @p567 @t162) % 28.14/28.63 (assume-push @p568 @t165) % 28.14/28.63 (assume-push @p569 @t167) % 28.14/28.63 (assume-push @p570 @t168) % 28.14/28.63 (assume-push @p571 @t169) % 28.14/28.63 (assume-push @p572 @t172) % 28.14/28.63 (assume-push @p573 @t175) % 28.14/28.63 (assume-push @p574 @t178) % 28.14/28.63 (assume-push @p575 @t149) % 28.14/28.63 (assume-push @p576 @t151) % 28.14/28.63 (assume-push @p577 @t155) % 28.14/28.63 (assume-push @p578 @t68) % 28.14/28.63 (assume-push @p579 @t158) % 28.14/28.63 (assume-push @p580 @t148) % 28.14/28.63 (assume-push @p581 @t167) % 28.14/28.63 (assume-push @p582 @t168) % 28.14/28.63 (assume-push @p583 @t169) % 28.14/28.63 (assume-push @p584 @t134) % 28.14/28.63 (assume-push @p585 @t172) % 28.14/28.63 (assume-push @p586 @t121) % 28.14/28.63 (assume-push @p587 @t136) % 28.14/28.63 (assume-push @p588 @t130) % 28.14/28.63 (assume-push @p589 @t140) % 28.14/28.63 (assume-push @p590 @t175) % 28.14/28.63 (assume-push @p591 @t162) % 28.14/28.63 (assume-push @p592 @t178) % 28.14/28.63 (assume-push @p593 @t160) % 28.14/28.63 (assume-push @p594 @t165) % 28.14/28.63 (assume-push @p595 @t153) % 28.14/28.63 (step @p297 :rule symm :premises (@p241)) % 28.14/28.63 (step @p155 :rule refl :args (tptp.sk_c7)) % 28.14/28.63 (step @p298 :rule symm :premises (@p242)) % 28.14/28.63 (step @p299 :rule cong :premises (@p298 @p155) :args (@t154)) % 28.14/28.63 (step @p300 :rule symm :premises (@p244)) % 28.14/28.63 (step @p301 :rule symm :premises (@p555)) % 28.14/28.63 (step @p302 :rule cong :premises (@p301 @p155) :args (@t157)) % 28.14/28.63 (step @p303 :rule symm :premises (@p245)) % 28.14/28.63 (step @p304 :rule symm :premises (@p556)) % 28.14/28.63 (step @p305 :rule cong :premises (@p304 @p155) :args (@t166)) % 28.14/28.63 (step @p306 :rule symm :premises (@p249)) % 28.14/28.63 (step @p307 :rule symm :premises (@p250)) % 28.14/28.63 (step @p308 :rule refl :args (tptp.sk_c3)) % 28.14/28.63 (step @p309 :rule symm :premises (@p251)) % 28.14/28.63 (step @p310 :rule refl :args (tptp.sk_c2)) % 28.14/28.63 (step @p311 :rule cong :premises (@p557 @p310) :args (@t170)) % 28.14/28.63 (step @p312 :rule trans :premises (@p311 @p309)) % 28.14/28.63 (step @p313 :rule cong :premises (@p312 @p308) :args (@t171)) % 28.14/28.63 (step @p314 :rule symm :premises (@p252)) % 28.14/28.63 (step @p315 :rule cong :premises (@p308 @p556) :args (@t146)) % 28.14/28.63 (step @p316 :rule symm :premises (@p33)) % 28.14/28.63 (step @p160 :rule refl :args (tptp.sk_c6)) % 28.14/28.63 (step @p317 :rule symm :premises (@p198)) % 28.14/28.63 (step @p215 :rule refl :args (tptp.sk_c1)) % 28.14/28.63 (step @p318 :rule cong :premises (@p554 @p215) :args (@t138)) % 28.14/28.63 (step @p319 :rule trans :premises (@p318 @p317)) % 28.14/28.63 (step @p320 :rule cong :premises (@p319 @p160) :args (@t139)) % 28.14/28.63 (step @p321 :rule symm :premises (@p199)) % 28.14/28.63 (step @p322 :rule cong :premises (@p155 @p555) :args (@t126)) % 28.14/28.63 (step @p323 :rule trans :premises (@p322 @p321 @p320 @p316)) % 28.14/28.63 (step @p324 :rule cong :premises (@p308 @p323) :args ((tptp.multiply tptp.sk_c3 @t126))) % 28.14/28.63 (step @p325 :rule trans :premises (@p324 @p315 @p314 @p313 @p307)) % 28.14/28.63 (step @p326 :rule symm :premises (@p324)) % 28.14/28.63 (step @p327 :rule trans :premises (@p326 @p325)) % 28.14/28.63 (step @p328 :rule cong :premises (@p327 @p155) :args (@t173)) % 28.14/28.63 (step @p329 :rule cong :premises (@p310 @p328) :args (@t174)) % 28.14/28.63 (step @p330 :rule cong :premises (@p556 @p160) :args (@t147)) % 28.14/28.63 (step @p331 :rule trans :premises (@p330 @p247)) % 28.14/28.63 (step @p332 :rule cong :premises (@p331 @p155) :args (@t176)) % 28.14/28.63 (step @p333 :rule trans :premises (@p332 @p253 @p329 @p306 @p305)) % 28.14/28.63 (step @p334 :rule cong :premises (@p215 @p333) :args (@t177)) % 28.14/28.63 (step @p335 :rule cong :premises (@p555 @p160) :args (@t144)) % 28.14/28.63 (step @p336 :rule trans :premises (@p335 @p246)) % 28.14/28.63 (step @p337 :rule cong :premises (@p336 @p155) :args (@t163)) % 28.14/28.63 (step @p338 :rule trans :premises (@p337 @p254 @p334 @p303 @p302)) % 28.14/28.63 (step @p339 :rule refl :args (@t143)) % 28.14/28.63 (step @p340 :rule cong :premises (@p339 @p338) :args (@t164)) % 28.14/28.63 (step @p341 :rule cong :premises (@p242 @p160) :args (@t120)) % 28.14/28.63 (step @p342 :rule trans :premises (@p33 @p341 @p243)) % 28.14/28.63 (step @p343 :rule cong :premises (@p342 @p155) :args (@t156)) % 28.14/28.63 (step @p344 :rule trans :premises (@p332 @p253 @p329 @p306 @p305 @p343 @p248 @p340 @p300 @p299 @p297)) % 28.14/28.63 (step @p345 :rule cong :premises (@p215 @p344) :args (@t177)) % 28.14/28.63 (step @p346 :rule symm :premises (@p334)) % 28.14/28.63 (step @p347 :rule symm :premises (@p302)) % 28.14/28.63 (step @p348 :rule symm :premises (@p322)) % 28.14/28.63 (step @p349 :rule symm :premises (@p320)) % 28.14/28.63 (step @p350 :rule trans :premises (@p33 @p349 @p199 @p348 @p347 @p245 @p346 @p345)) % 28.14/28.63 (step-pop @p596 :rule scope :premises (@p350)) % 28.14/28.63 (step-pop @p597 :rule scope :premises (@p596)) % 28.14/28.63 (step-pop @p598 :rule scope :premises (@p597)) % 28.14/28.63 (step-pop @p599 :rule scope :premises (@p598)) % 28.14/28.63 (step-pop @p600 :rule scope :premises (@p599)) % 28.14/28.63 (step-pop @p601 :rule scope :premises (@p600)) % 28.14/28.63 (step-pop @p602 :rule scope :premises (@p601)) % 28.14/28.63 (step-pop @p603 :rule scope :premises (@p602)) % 28.14/28.63 (step-pop @p604 :rule scope :premises (@p603)) % 28.14/28.63 (step-pop @p605 :rule scope :premises (@p604)) % 28.14/28.63 (step-pop @p606 :rule scope :premises (@p605)) % 28.14/28.63 (step-pop @p607 :rule scope :premises (@p606)) % 28.14/28.63 (step-pop @p608 :rule scope :premises (@p607)) % 28.14/28.63 (step-pop @p609 :rule scope :premises (@p608)) % 28.14/28.63 (step-pop @p610 :rule scope :premises (@p609)) % 28.14/28.63 (step-pop @p611 :rule scope :premises (@p610)) % 28.14/28.63 (step-pop @p612 :rule scope :premises (@p611)) % 28.14/28.63 (step-pop @p613 :rule scope :premises (@p612)) % 28.14/28.63 (step-pop @p614 :rule scope :premises (@p613)) % 28.14/28.63 (step-pop @p615 :rule scope :premises (@p614)) % 28.14/28.63 (step-pop @p616 :rule scope :premises (@p615)) % 28.14/28.63 (step @p351 :rule process_scope :premises (@p616) :args (@t179)) % 28.14/28.63 (step @p373 :rule and_intro :premises (@p241 @p242 @p244 @p555 @p245 @p556 @p249 @p250 @p251 @p557 @p252 @p33 @p198 @p554 @p199 @p253 @p247 @p254 @p246 @p248 @p243)) % 28.14/28.63 (step @p374 :rule modus_ponens :premises (@p373 @p351)) % 28.14/28.63 (step-pop @p617 :rule scope :premises (@p374)) % 28.14/28.63 (step-pop @p618 :rule scope :premises (@p617)) % 28.14/28.63 (step-pop @p619 :rule scope :premises (@p618)) % 28.14/28.63 (step-pop @p620 :rule scope :premises (@p619)) % 28.14/28.63 (step-pop @p621 :rule scope :premises (@p620)) % 28.14/28.63 (step-pop @p622 :rule scope :premises (@p621)) % 28.14/28.63 (step-pop @p623 :rule scope :premises (@p622)) % 28.14/28.63 (step-pop @p624 :rule scope :premises (@p623)) % 28.14/28.63 (step-pop @p625 :rule scope :premises (@p624)) % 28.14/28.63 (step-pop @p626 :rule scope :premises (@p625)) % 28.14/28.63 (step-pop @p627 :rule scope :premises (@p626)) % 28.14/28.63 (step-pop @p628 :rule scope :premises (@p627)) % 28.14/28.63 (step-pop @p629 :rule scope :premises (@p628)) % 28.14/28.63 (step-pop @p630 :rule scope :premises (@p629)) % 28.14/28.63 (step-pop @p631 :rule scope :premises (@p630)) % 28.14/28.63 (step-pop @p632 :rule scope :premises (@p631)) % 28.14/28.63 (step-pop @p633 :rule scope :premises (@p632)) % 28.14/28.63 (step-pop @p634 :rule scope :premises (@p633)) % 28.14/28.63 (step-pop @p635 :rule scope :premises (@p634)) % 28.14/28.63 (step-pop @p636 :rule scope :premises (@p635)) % 28.14/28.63 (step-pop @p637 :rule scope :premises (@p636)) % 28.14/28.63 (step @p375 :rule process_scope :premises (@p637) :args (@t179)) % 28.14/28.63 (step @p397 :rule implies_elim :premises (@p375)) % 28.14/28.63 (step @p398 :rule cnf_and_neg :args (@t180)) % 28.14/28.63 (step @p399 :rule resolution :premises (@p398 @p397) :args (true @t180)) % 28.14/28.63 (step @p400 :rule reordering :premises (@p399) :args ((or @t131 @t129 @t182 @t181 (not @t149) (not @t151) @t128 @t179 (not @t153) (not @t155) (not @t136) (not @t158) (not @t140) (not @t160) (not @t162) (not @t165) (not @t167) (not @t168) (not @t169) (not @t172) (not @t175) (not @t178)))) % 28.14/28.63 (step @p401 :rule cnf_or_pos :args (@t184)) % 28.14/28.63 (step @p402 :rule reordering :premises (@p401) :args ((or @t131 @t183 (not @t184)))) % 28.14/28.63 (assume-push @p638 @t86) % 28.14/28.63 (step @p404 :rule instantiate :premises (@p638) :args (@t133)) % 28.14/28.63 (step-pop @p639 :rule scope :premises (@p404)) % 28.14/28.63 (step @p405 :rule process_scope :premises (@p639) :args (@t184)) % 28.14/28.63 (step @p407 :rule implies_elim :premises (@p405)) % 28.14/28.63 (assume-push @p640 @t114) % 28.14/28.63 (step @p409 :rule instantiate :premises (@p640) :args (@t145)) % 28.14/28.63 (step-pop @p641 :rule scope :premises (@p409)) % 28.14/28.63 (step @p410 :rule process_scope :premises (@p641) :args (@t189)) % 28.14/28.63 (step @p412 :rule implies_elim :premises (@p410)) % 28.14/28.63 (assume-push @p642 @t134) % 28.14/28.63 (assume-push @p643 @t190) % 28.14/28.63 (assume-push @p644 @t134) % 28.14/28.63 (assume-push @p645 @t190) % 28.14/28.63 (step @p155 :rule refl :args (tptp.sk_c7)) % 28.14/28.63 (step @p417 :rule cong :premises (@p642 @p155) :args (@t37)) % 28.14/28.63 (step @p418 :rule trans :premises (@p643 @p417)) % 28.14/28.63 (step-pop @p646 :rule scope :premises (@p418)) % 28.14/28.63 (step-pop @p647 :rule scope :premises (@p646)) % 28.14/28.63 (step @p419 :rule process_scope :premises (@p647) :args (@t185)) % 28.14/28.63 (step @p422 :rule and_intro :premises (@p642 @p643)) % 28.14/28.63 (step @p423 :rule modus_ponens :premises (@p422 @p419)) % 28.14/28.63 (step-pop @p648 :rule scope :premises (@p423)) % 28.14/28.63 (step-pop @p649 :rule scope :premises (@p648)) % 28.14/28.63 (step @p424 :rule process_scope :premises (@p649) :args (@t185)) % 28.14/28.63 (step @p427 :rule implies_elim :premises (@p424)) % 28.14/28.63 (step @p428 :rule cnf_and_neg :args (@t191)) % 28.14/28.63 (step @p429 :rule resolution :premises (@p428 @p427) :args (true @t191)) % 28.14/28.63 (assume-push @p650 @t148) % 28.14/28.63 (assume-push @p651 @t134) % 28.14/28.63 (assume-push @p652 @t134) % 28.14/28.63 (assume-push @p653 @t148) % 28.14/28.63 (step @p310 :rule refl :args (tptp.sk_c2)) % 28.14/28.63 (step @p434 :rule cong :premises (@p310 @p651) :args (@t29)) % 28.14/28.63 (step @p435 :rule trans :premises (@p650 @p434)) % 28.14/28.63 (step-pop @p654 :rule scope :premises (@p435)) % 28.14/28.63 (step-pop @p655 :rule scope :premises (@p654)) % 28.14/28.63 (step @p436 :rule process_scope :premises (@p655) :args (@t187)) % 28.14/28.63 (step @p439 :rule and_intro :premises (@p651 @p650)) % 28.14/28.63 (step @p440 :rule modus_ponens :premises (@p439 @p436)) % 28.14/28.63 (step-pop @p656 :rule scope :premises (@p440)) % 28.14/28.63 (step-pop @p657 :rule scope :premises (@p656)) % 28.14/28.63 (step @p441 :rule process_scope :premises (@p657) :args (@t187)) % 28.14/28.63 (step @p444 :rule implies_elim :premises (@p441)) % 28.14/28.63 (step @p445 :rule cnf_and_neg :args (@t192)) % 28.14/28.63 (step @p446 :rule resolution :premises (@p445 @p444) :args (true @t192)) % 28.14/28.63 (step @p447 :rule cnf_or_pos :args (@t189)) % 28.14/28.63 (step @p448 :rule reordering :premises (@p447) :args ((or @t188 @t186 @t193))) % 28.14/28.63 (step @p449 :rule chain_m_resolution :premises (@p448 @p446 @p429) :args ((or @t182 @t181 (not @t190) @t193) @t194 (@list @t187 @t185))) % 28.14/28.63 (step @p450 :rule eq-symm :args (@t37 tptp.sk_c6)) % 28.14/28.63 (step @p451 :rule nary_cong :premises (@p450 @p34) :args (@t39)) % 28.14/28.63 (step @p452 :rule eq_resolve :premises (@p20 @p451)) % 28.14/28.63 (step @p453 :rule reordering :premises (@p452) :args ((or @t69 @t190))) % 28.14/28.63 (step @p454 :rule nary_cong :premises (@p450 @p39) :args (@t40)) % 28.14/28.63 (step @p455 :rule eq_resolve :premises (@p21 @p454)) % 28.14/28.63 (step @p456 :rule reordering :premises (@p455) :args ((or @t70 @t190))) % 28.14/28.63 (step @p457 :rule chain_m_resolution :premises (@p142 @p70 @p239 @p199 @p198 @p33 @p140 @p456 @p453 @p449 @p412 @p135 @p407 @p402 @p400 @p254 @p253 @p252 @p251 @p250 @p249 @p248 @p247 @p246 @p199 @p245 @p198 @p244 @p243 @p33 @p242 @p241 @p84 @p190 @p185) :args ((or @t131 @t129 @t182 @t181) (@list false false false false false false false false true false false true true false false false false false false false false false false false false false false false false false false true true true) (@list @t77 @t115 @t140 @t136 @t121 @t118 @t70 @t69 @t190 @t189 @t114 @t86 @t184 @t179 @t178 @t175 @t172 @t169 @t168 @t167 @t165 @t162 @t160 @t140 @t158 @t136 @t155 @t153 @t121 @t151 @t149 @t95 @t91 @t132))) % 28.14/28.63 (step @p458 :rule eq-symm :args (@t29 tptp.sk_c6)) % 28.14/28.63 (step @p459 :rule nary_cong :premises (@p458 @p34) :args (@t31)) % 28.14/28.63 (step @p460 :rule eq_resolve :premises (@p12 @p459)) % 28.14/28.63 (step @p461 :rule reordering :premises (@p460) :args ((or @t69 @t148))) % 28.14/28.63 (step @p462 :rule nary_cong :premises (@p458 @p39) :args (@t32)) % 28.14/28.63 (step @p463 :rule eq_resolve :premises (@p13 @p462)) % 28.14/28.63 (step @p464 :rule reordering :premises (@p463) :args ((or @t70 @t148))) % 28.14/28.63 (step @p465 :rule chain_m_resolution :premises (@p140 @p135 @p142 @p77 @p239 @p199 @p198 @p33 @p70 @p52 @p464 @p461 @p457 @p240 @p84 @p190 @p185) :args (@t132 (@list false true true false false false false false true false false true false true true true) (@list @t114 @t118 @t86 @t115 @t140 @t136 @t121 @t77 @t75 @t70 @t69 @t148 @t134 @t95 @t91 @t132))) % 28.14/28.63 (step @p466 :rule chain_m_resolution :premises (@p465 @p183) :args (@t131 (@list false) (@list @t68))) % 28.14/28.63 (step @p467 :rule eq-symm :args (@t11 tptp.sk_c7)) % 28.14/28.63 (step @p468 :rule nary_cong :premises (@p467 @p47) :args (@t22)) % 28.14/28.63 (step @p469 :rule eq_resolve :premises (@p7 @p468)) % 28.14/28.63 (step @p470 :rule chain_m_resolution :premises (@p469 @p466) :args (@t72 @t195 @t196)) % 28.14/28.63 (step @p471 :rule nary_cong :premises (@p467 @p43) :args (@t19)) % 28.14/28.63 (step @p472 :rule eq_resolve :premises (@p6 @p471)) % 28.14/28.63 (step @p473 :rule chain_m_resolution :premises (@p472 @p466) :args (@t71 @t195 @t196)) % 28.14/28.63 (step @p474 :rule nary_cong :premises (@p467 @p39) :args (@t16)) % 28.14/28.63 (step @p475 :rule eq_resolve :premises (@p5 @p474)) % 28.14/28.63 (step @p476 :rule chain_m_resolution :premises (@p475 @p466) :args (@t70 @t195 @t196)) % 28.14/28.63 (step @p477 :rule chain_m_resolution :premises (@p182 @p476 @p473 @p470 @p33 @p29 @p25) :args (@t115 (@list false false false false false false) (@list @t70 @t71 @t72 @t121 @t123 @t125))) % 28.14/28.63 (step @p478 :rule nary_cong :premises (@p467 @p34) :args (@t13)) % 28.14/28.63 (step @p479 :rule eq_resolve :premises (@p4 @p478)) % 28.14/28.63 (step @p480 :rule chain_m_resolution :premises (@p479 @p466) :args (@t69 @t195 @t196)) % 28.14/28.63 (step @p481 :rule chain_m_resolution :premises (@p70 @p480 @p476) :args (@t77 @t194 @t197)) % 28.14/28.63 (step @p482 :rule chain_m_resolution :premises (@p142 @p481 @p477) :args (@t119 @t194 (@list @t77 @t115))) % 28.14/28.63 (step @p483 :rule chain_m_resolution :premises (@p72 @p473 @p470) :args (@t82 @t194 (@list @t71 @t72))) % 28.14/28.63 (step @p484 :rule chain_m_resolution :premises (@p82 @p483) :args ((not @t91) @t195 (@list @t81))) % 28.14/28.63 (step @p485 :rule chain_m_resolution :premises (@p84 @p484) :args ((not @t95) @t195 (@list @t91))) % 28.14/28.63 (step @p486 :rule chain_m_resolution :premises (@p52 @p480 @p476) :args (@t76 @t194 @t197)) % 28.14/28.63 (step @p487 :rule chain_m_resolution :premises (@p77 @p486) :args ((not @t86) @t195 (@list @t75))) % 28.14/28.63 (step @p488 :rule chain_m_resolution :premises (@p135 @p484 @p487 @p485) :args (@t114 (@list true true true) (@list @t91 @t86 @t95))) % 28.14/28.63 (step @p489 false :rule chain_m_resolution :premises (@p140 @p488 @p482) :args (false (@list false true) (@list @t114 @t118))) % 28.14/28.63 ) % 28.14/28.63 % SZS output end Proof % 28.14/28.64 % cvc5 exiting %------------------------------------------------------------------------------