%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN011-5 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:22:55 AM UTC 2026 % Result : Unsatisfiable 216.27s 216.59s % Output : Proof 201.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : HEN011-5 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 02:16:48 EDT 2026 % 0.06/0.25 % CPUTime : % 0.06/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.20/15.45 --- Run --no-e-matching --full-saturate-quant at 6... % 21.20/21.47 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.20/27.49 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.30/33.52 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.30/63.56 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.31/78.58 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.38/111.63 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.39/126.68 --- Run --prenex-quant=none --full-saturate-quant at 30... % 156.50/156.71 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 171.49/171.75 --- Run --relevant-triggers --full-saturate-quant at 30... % 201.58/201.80 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 216.27/216.59 % SZS status Unsatisfiable % 216.27/216.59 % SZS output start Proof % 216.27/216.60 ( % 216.27/216.60 (declare-sort $$unsorted 0) % 216.27/216.60 (declare-const tptp.a $$unsorted) % 216.27/216.60 (declare-const tptp.identity $$unsorted) % 216.27/216.60 (declare-const tptp.b $$unsorted) % 216.27/216.60 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 216.27/216.60 (declare-const tptp.zero $$unsorted) % 216.27/216.60 (define @t1 () (@var "X" $$unsorted)) % 216.27/216.60 (define @t2 () (@var "Y" $$unsorted)) % 216.27/216.60 (define @t3 () (tptp.divide @t1 @t2)) % 216.27/216.60 (define @t4 () (tptp.divide @t3 @t1)) % 216.27/216.60 (define @t5 () (@list @t1 @t2)) % 216.27/216.60 (define @t6 () (forall @t5 (= @t4 tptp.zero))) % 216.27/216.60 (define @t7 () (@var "Z" $$unsorted)) % 216.27/216.60 (define @t8 () (tptp.divide @t3 @t7)) % 216.27/216.60 (define @t9 () (tptp.divide @t2 @t7)) % 216.27/216.60 (define @t10 () (tptp.divide @t1 @t7)) % 216.27/216.60 (define @t11 () (tptp.divide @t10 @t9)) % 216.27/216.60 (define @t12 () (tptp.divide @t11 @t8)) % 216.27/216.60 (define @t13 () (forall (@list @t1 @t7 @t2) (= @t12 tptp.zero))) % 216.27/216.60 (define @t14 () (tptp.divide tptp.zero @t1)) % 216.27/216.60 (define @t15 () (@list @t1)) % 216.27/216.60 (define @t16 () (forall @t15 (= @t14 tptp.zero))) % 216.27/216.60 (define @t17 () (= @t1 @t2)) % 216.27/216.60 (define @t18 () (tptp.divide @t2 @t1)) % 216.27/216.60 (define @t19 () (not (= @t18 tptp.zero))) % 216.27/216.60 (define @t20 () (not (= @t3 tptp.zero))) % 216.27/216.60 (define @t21 () (or @t20 @t19 @t17)) % 216.27/216.60 (define @t22 () (forall @t5 @t21)) % 216.27/216.60 (define @t23 () (tptp.divide @t1 tptp.zero)) % 216.27/216.60 (define @t24 () (forall @t15 (= @t23 @t1))) % 216.27/216.60 (define @t25 () (not (= @t9 tptp.zero))) % 216.27/216.60 (define @t26 () (or @t20 @t25 (= @t10 tptp.zero))) % 216.27/216.60 (define @t27 () (@list @t1 @t2 @t7)) % 216.27/216.60 (define @t28 () (forall @t27 @t26)) % 216.27/216.60 (define @t29 () (tptp.divide @t10 @t2)) % 216.27/216.60 (define @t30 () (not (= @t8 tptp.zero))) % 216.27/216.60 (define @t31 () (or @t30 (= @t29 tptp.zero))) % 216.27/216.60 (define @t32 () (forall @t27 @t31)) % 216.27/216.60 (define @t33 () (tptp.divide (tptp.divide @t7 @t2) (tptp.divide @t7 @t1))) % 216.27/216.60 (define @t34 () (or @t20 (= @t33 tptp.zero))) % 216.27/216.60 (define @t35 () (forall @t27 @t34)) % 216.27/216.60 (define @t36 () (tptp.divide tptp.identity @t1)) % 216.27/216.60 (define @t37 () (tptp.divide tptp.identity @t36)) % 216.27/216.60 (define @t38 () (tptp.divide tptp.identity @t37)) % 216.27/216.60 (define @t39 () (forall @t15 (= @t38 @t36))) % 216.27/216.60 (define @t40 () (tptp.divide @t36 @t37)) % 216.27/216.60 (define @t41 () (forall @t15 (= @t40 @t36))) % 216.27/216.60 (define @t42 () (tptp.divide tptp.identity tptp.a)) % 216.27/216.60 (define @t43 () (tptp.divide tptp.identity @t42)) % 216.27/216.60 (define @t44 () (tptp.divide tptp.identity tptp.b)) % 216.27/216.60 (define @t45 () (tptp.divide @t44 @t43)) % 216.27/216.60 (define @t46 () (tptp.divide tptp.identity @t44)) % 216.27/216.60 (define @t47 () (tptp.divide @t42 @t46)) % 216.27/216.60 (define @t48 () (= @t47 @t45)) % 216.27/216.60 (define @t49 () (not @t48)) % 216.27/216.60 (define @t50 () (tptp.divide tptp.identity @t43)) % 216.27/216.60 (define @t51 () (tptp.divide (tptp.divide tptp.identity @t50) tptp.b)) % 216.27/216.60 (define @t52 () (tptp.divide @t50 tptp.b)) % 216.27/216.60 (define @t53 () (tptp.divide @t44 @t51)) % 216.27/216.60 (define @t54 () (tptp.divide @t53 @t52)) % 216.27/216.60 (define @t55 () (= tptp.zero @t54)) % 216.27/216.60 (define @t56 () (= tptp.zero (tptp.divide (tptp.divide @t44 @t52) @t51))) % 216.27/216.60 (define @t57 () (not @t56)) % 216.27/216.60 (define @t58 () (or @t57 @t55)) % 216.27/216.60 (define @t59 () (@list false false)) % 216.27/216.60 (define @t60 () (= tptp.zero (tptp.divide @t52 @t53))) % 216.27/216.60 (define @t61 () (not @t60)) % 216.27/216.60 (define @t62 () (not @t55)) % 216.27/216.60 (define @t63 () (= @t53 @t52)) % 216.27/216.60 (define @t64 () (or @t62 @t61 @t63)) % 216.27/216.60 (define @t65 () (forall @t5 (or (not (= tptp.zero @t3)) (not (= tptp.zero @t18)) @t17))) % 216.27/216.60 (define @t66 () (= @t52 @t53)) % 216.27/216.60 (define @t67 () (or @t62 @t61 @t66)) % 216.27/216.60 (define @t68 () (@list false)) % 216.27/216.60 (define @t69 () (@list @t65)) % 216.27/216.60 (define @t70 () (tptp.divide @t44 tptp.a)) % 216.27/216.60 (define @t71 () (tptp.divide @t42 tptp.b)) % 216.27/216.60 (define @t72 () (tptp.divide @t46 tptp.a)) % 216.27/216.60 (define @t73 () (tptp.divide @t42 @t70)) % 216.27/216.60 (define @t74 () (= tptp.zero (tptp.divide @t73 @t46))) % 216.27/216.60 (define @t75 () (= tptp.zero (tptp.divide @t72 @t46))) % 216.27/216.60 (define @t76 () (not @t75)) % 216.27/216.60 (define @t77 () (= tptp.zero (tptp.divide @t73 @t72))) % 216.27/216.60 (define @t78 () (not @t77)) % 216.27/216.60 (define @t79 () (or @t78 @t76 @t74)) % 216.27/216.60 (define @t80 () (@list false false false)) % 216.27/216.60 (define @t81 () (= tptp.zero (tptp.divide @t47 @t70))) % 216.27/216.60 (define @t82 () (not @t74)) % 216.27/216.60 (define @t83 () (or @t82 @t81)) % 216.27/216.60 (define @t84 () (tptp.divide @t44 tptp.zero)) % 216.27/216.60 (define @t85 () (tptp.divide tptp.identity tptp.zero)) % 216.27/216.60 (define @t86 () (tptp.divide @t85 @t84)) % 216.27/216.60 (define @t87 () (tptp.divide @t46 tptp.b)) % 216.27/216.60 (define @t88 () (= tptp.zero @t87)) % 216.27/216.60 (define @t89 () (= tptp.zero (tptp.divide @t44 @t44))) % 216.27/216.60 (define @t90 () (not @t89)) % 216.27/216.60 (define @t91 () (or @t90 @t88)) % 216.27/216.60 (define @t92 () (not @t88)) % 216.27/216.60 (define @t93 () (= tptp.zero (tptp.divide @t86 tptp.b))) % 216.27/216.60 (define @t94 () (= tptp.identity @t85)) % 216.27/216.60 (define @t95 () (not @t94)) % 216.27/216.60 (define @t96 () (= @t44 @t84)) % 216.27/216.60 (define @t97 () (not @t96)) % 216.27/216.60 (define @t98 () (not @t93)) % 216.27/216.60 (define @t99 () (and @t96 @t94 @t98)) % 216.27/216.60 (define @t100 () (tptp.divide @t50 @t86)) % 216.27/216.60 (define @t101 () (tptp.divide @t52 @t100)) % 216.27/216.60 (define @t102 () (= tptp.zero @t101)) % 216.27/216.60 (define @t103 () (or @t98 @t102)) % 216.27/216.60 (define @t104 () (= @t42 @t50)) % 216.27/216.60 (define @t105 () (tptp.divide @t71 @t47)) % 216.27/216.60 (define @t106 () (= tptp.zero @t105)) % 216.27/216.60 (define @t107 () (and @t104 @t96 @t94 @t102)) % 216.27/216.60 (define @t108 () (not @t104)) % 216.27/216.60 (define @t109 () (@list false false false false)) % 216.27/216.60 (define @t110 () (@list @t102 @t94 @t96 @t104)) % 216.27/216.60 (define @t111 () (= tptp.zero (tptp.divide @t71 @t70))) % 216.27/216.60 (define @t112 () (not @t81)) % 216.27/216.60 (define @t113 () (not @t106)) % 216.27/216.60 (define @t114 () (or @t113 @t112 @t111)) % 216.27/216.60 (define @t115 () (tptp.divide @t50 @t42)) % 216.27/216.60 (define @t116 () (= tptp.zero @t115)) % 216.27/216.60 (define @t117 () (= tptp.zero (tptp.divide @t43 @t43))) % 216.27/216.60 (define @t118 () (not @t117)) % 216.27/216.60 (define @t119 () (or @t118 @t116)) % 216.27/216.60 (define @t120 () (tptp.divide @t43 tptp.a)) % 216.27/216.60 (define @t121 () (= tptp.zero @t120)) % 216.27/216.60 (define @t122 () (= tptp.zero (tptp.divide @t42 @t42))) % 216.27/216.60 (define @t123 () (not @t122)) % 216.27/216.60 (define @t124 () (or @t123 @t121)) % 216.27/216.60 (define @t125 () (= tptp.zero (tptp.divide @t70 @t45))) % 216.27/216.60 (define @t126 () (not @t121)) % 216.27/216.60 (define @t127 () (or @t126 @t125)) % 216.27/216.60 (define @t128 () (tptp.divide @t71 @t45)) % 216.27/216.60 (define @t129 () (= tptp.zero @t128)) % 216.27/216.60 (define @t130 () (not @t125)) % 216.27/216.60 (define @t131 () (not @t111)) % 216.27/216.60 (define @t132 () (or @t131 @t130 @t129)) % 216.27/216.60 (define @t133 () (= tptp.zero (tptp.divide @t52 @t45))) % 216.27/216.60 (define @t134 () (and @t104 @t129)) % 216.27/216.60 (define @t135 () (tptp.divide @t44 @t46)) % 216.27/216.60 (define @t136 () (tptp.divide @t135 @t51)) % 216.27/216.60 (define @t137 () (= tptp.zero (tptp.divide @t47 @t136))) % 216.27/216.60 (define @t138 () (not @t137)) % 216.27/216.60 (define @t139 () (= tptp.zero (tptp.divide @t136 @t47))) % 216.27/216.60 (define @t140 () (not @t139)) % 216.27/216.60 (define @t141 () (or @t140 @t138 (= @t136 @t47))) % 216.27/216.60 (define @t142 () (= @t47 @t136)) % 216.27/216.60 (define @t143 () (or @t140 @t138 @t142)) % 216.27/216.60 (define @t144 () (tptp.divide @t43 tptp.b)) % 216.27/216.60 (define @t145 () (@list tptp.b)) % 216.27/216.60 (define @t146 () (tptp.divide @t44 @t144)) % 216.27/216.60 (define @t147 () (tptp.divide @t47 @t146)) % 216.27/216.60 (define @t148 () (= tptp.zero (tptp.divide @t144 tptp.a))) % 216.27/216.60 (define @t149 () (= tptp.zero (tptp.divide @t120 tptp.b))) % 216.27/216.60 (define @t150 () (not @t149)) % 216.27/216.60 (define @t151 () (or @t150 @t148)) % 216.27/216.60 (define @t152 () (= tptp.zero (tptp.divide @t70 @t146))) % 216.27/216.60 (define @t153 () (not @t148)) % 216.27/216.60 (define @t154 () (or @t153 @t152)) % 216.27/216.60 (define @t155 () (= tptp.zero @t147)) % 216.27/216.60 (define @t156 () (not @t152)) % 216.27/216.60 (define @t157 () (or @t112 @t156 @t155)) % 216.27/216.60 (define @t158 () (= tptp.zero (tptp.divide @t52 @t47))) % 216.27/216.60 (define @t159 () (tptp.divide @t53 @t47)) % 216.27/216.60 (define @t160 () (= tptp.zero @t159)) % 216.27/216.60 (define @t161 () (not @t158)) % 216.27/216.60 (define @t162 () (or @t62 @t161 @t160)) % 216.27/216.60 (define @t163 () (= @t44 @t135)) % 216.27/216.60 (define @t164 () (and @t163 @t160)) % 216.27/216.60 (define @t165 () (not @t163)) % 216.27/216.60 (define @t166 () (= tptp.zero (tptp.divide @t47 @t52))) % 216.27/216.60 (define @t167 () (and @t163 @t104 @t55 @t142)) % 216.27/216.60 (define @t168 () (tptp.divide @t43 @t46)) % 216.27/216.60 (define @t169 () (tptp.divide @t44 @t168)) % 216.27/216.60 (define @t170 () (tptp.divide @t50 @t46)) % 216.27/216.60 (define @t171 () (tptp.divide (tptp.divide tptp.identity @t46) @t168)) % 216.27/216.60 (define @t172 () (= tptp.zero (tptp.divide @t45 @t169))) % 216.27/216.60 (define @t173 () (= tptp.zero (tptp.divide @t168 @t43))) % 216.27/216.60 (define @t174 () (not @t173)) % 216.27/216.60 (define @t175 () (or @t174 @t172)) % 216.27/216.60 (define @t176 () (tptp.divide @t45 @t47)) % 216.27/216.60 (define @t177 () (= tptp.zero @t176)) % 216.27/216.60 (define @t178 () (= tptp.zero (tptp.divide @t169 @t47))) % 216.27/216.60 (define @t179 () (not @t178)) % 216.27/216.60 (define @t180 () (not @t172)) % 216.27/216.60 (define @t181 () (or @t180 @t179 @t177)) % 216.27/216.60 (define @t182 () (= tptp.zero (tptp.divide @t45 @t52))) % 216.27/216.60 (define @t183 () (not @t166)) % 216.27/216.60 (define @t184 () (not @t177)) % 216.27/216.60 (define @t185 () (or @t184 @t183 @t182)) % 216.27/216.60 (define @t186 () (= @t45 @t52)) % 216.27/216.60 (define @t187 () (not @t133)) % 216.27/216.60 (define @t188 () (not @t182)) % 216.27/216.60 (define @t189 () (or @t188 @t187 @t186)) % 216.27/216.60 (define @t190 () (not @t66)) % 216.27/216.60 (define @t191 () (not @t142)) % 216.27/216.60 (define @t192 () (not @t186)) % 216.27/216.60 (define @t193 () (and @t49 @t163 @t186 @t142)) % 216.27/216.60 (define @t194 () (and @t163 @t186 @t142 @t177)) % 216.27/216.60 (assume @p1 @t6) % 216.27/216.60 (assume @p2 @t13) % 216.27/216.60 (assume @p3 @t16) % 216.27/216.60 (assume @p4 @t22) % 216.27/216.60 (assume @p5 (forall @t15 (= (tptp.divide @t1 tptp.identity) tptp.zero))) % 216.27/216.60 (assume @p6 (forall @t15 (= (tptp.divide @t1 @t1) tptp.zero))) % 216.27/216.60 (assume @p7 @t24) % 216.27/216.60 (assume @p8 @t28) % 216.27/216.60 (assume @p9 @t32) % 216.27/216.60 (assume @p10 @t35) % 216.27/216.60 (assume @p11 (forall @t27 (or @t20 (= @t11 tptp.zero)))) % 216.27/216.60 (assume @p12 @t39) % 216.27/216.60 (assume @p13 @t41) % 216.27/216.60 (assume @p14 @t49) % 216.27/216.60 (step @p15 :rule eq-symm :args (@t29 tptp.zero)) % 216.27/216.60 (step @p16 :rule eq-symm :args (@t8 tptp.zero)) % 216.27/216.60 (step @p17 :rule cong :premises (@p16) :args (@t30)) % 216.27/216.60 (step @p18 :rule nary_cong :premises (@p17 @p15) :args (@t31)) % 216.27/216.60 (step @p19 :rule cong :premises (@p18) :args (@t32)) % 216.27/216.60 (step @p20 :rule eq_resolve :premises (@p9 @p19)) % 216.27/216.60 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t44 @t52 @t51))) % 216.27/216.60 (step @p22 :rule eq-symm :args (@t12 tptp.zero)) % 216.27/216.60 (step @p23 :rule cong :premises (@p22) :args (@t13)) % 216.27/216.60 (step @p24 :rule eq_resolve :premises (@p2 @p23)) % 216.27/216.60 (step @p25 :rule instantiate :premises (@p24) :args ((@list tptp.identity tptp.b @t50))) % 216.27/216.60 (step @p26 :rule cnf_or_pos :args (@t58)) % 216.27/216.60 (step @p27 :rule reordering :premises (@p26) :args ((or @t57 @t55 (not @t58)))) % 216.27/216.60 (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p21) :args (@t55 @t59 (@list @t56 @t58))) % 216.27/216.60 (step @p29 :rule refl :args (@t17)) % 216.27/216.60 (step @p30 :rule eq-symm :args (@t18 tptp.zero)) % 216.27/216.60 (step @p31 :rule cong :premises (@p30) :args (@t19)) % 216.27/216.60 (step @p32 :rule eq-symm :args (@t3 tptp.zero)) % 216.27/216.60 (step @p33 :rule cong :premises (@p32) :args (@t20)) % 216.27/216.60 (step @p34 :rule nary_cong :premises (@p33 @p31 @p29) :args (@t21)) % 216.27/216.60 (step @p35 :rule cong :premises (@p34) :args (@t22)) % 216.27/216.60 (step @p36 :rule eq_resolve :premises (@p4 @p35)) % 216.27/216.60 (step @p37 :rule eq-symm :args (@t53 @t52)) % 216.27/216.60 (step @p38 :rule refl :args (@t61)) % 216.27/216.60 (step @p39 :rule refl :args (@t62)) % 216.27/216.60 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37) :args (@t64)) % 216.27/216.60 (step @p41 :rule refl :args (@t65)) % 216.27/216.60 (step @p42 :rule cong :premises (@p41 @p40) :args ((=> @t65 @t64))) % 216.27/216.60 (assume-push @p442 @t65) % 216.27/216.60 (step @p44 :rule instantiate :premises (@p36) :args ((@list @t53 @t52))) % 216.27/216.60 (step-pop @p443 :rule scope :premises (@p44)) % 216.27/216.60 (step @p45 :rule process_scope :premises (@p443) :args (@t64)) % 216.27/216.60 (step @p47 :rule eq_resolve :premises (@p45 @p42)) % 216.27/216.60 (step @p48 :rule implies_elim :premises (@p47)) % 216.27/216.60 (step @p49 :rule chain_m_resolution :premises (@p48 @p36) :args (@t67 @t68 @t69)) % 216.27/216.60 (step @p50 :rule instantiate :premises (@p36) :args ((@list @t45 @t52))) % 216.27/216.60 (step @p51 :rule eq-symm :args (@t38 @t36)) % 216.27/216.60 (step @p52 :rule cong :premises (@p51) :args (@t39)) % 216.27/216.60 (step @p53 :rule eq_resolve :premises (@p12 @p52)) % 216.27/216.60 (step @p54 :rule instantiate :premises (@p53) :args ((@list tptp.a))) % 216.27/216.60 (step @p55 :rule eq-symm :args (@t10 tptp.zero)) % 216.27/216.60 (step @p56 :rule eq-symm :args (@t9 tptp.zero)) % 216.27/216.60 (step @p57 :rule cong :premises (@p56) :args (@t25)) % 216.27/216.60 (step @p58 :rule nary_cong :premises (@p33 @p57 @p55) :args (@t26)) % 216.27/216.60 (step @p59 :rule cong :premises (@p58) :args (@t28)) % 216.27/216.60 (step @p60 :rule eq_resolve :premises (@p8 @p59)) % 216.27/216.60 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t71 @t70 @t45))) % 216.27/216.60 (step @p62 :rule instantiate :premises (@p60) :args ((@list @t71 @t47 @t70))) % 216.27/216.60 (step @p63 :rule instantiate :premises (@p20) :args ((@list @t42 @t70 @t46))) % 216.27/216.60 (step @p64 :rule instantiate :premises (@p60) :args ((@list @t73 @t72 @t46))) % 216.27/216.60 (step @p65 :rule instantiate :premises (@p24) :args ((@list tptp.identity tptp.a @t44))) % 216.27/216.60 (step @p66 :rule eq-symm :args (@t4 tptp.zero)) % 216.27/216.60 (step @p67 :rule cong :premises (@p66) :args (@t6)) % 216.27/216.60 (step @p68 :rule eq_resolve :premises (@p1 @p67)) % 216.27/216.60 (step @p69 :rule instantiate :premises (@p68) :args ((@list @t46 tptp.a))) % 216.27/216.60 (step @p70 :rule cnf_or_pos :args (@t79)) % 216.27/216.60 (step @p71 :rule reordering :premises (@p70) :args ((or @t76 @t78 @t74 (not @t79)))) % 216.27/216.60 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p65 @p64) :args (@t74 @t80 (@list @t75 @t77 @t79))) % 216.27/216.60 (step @p73 :rule cnf_or_pos :args (@t83)) % 216.27/216.60 (step @p74 :rule reordering :premises (@p73) :args ((or @t81 @t82 (not @t83)))) % 216.27/216.60 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p63) :args (@t81 @t59 (@list @t74 @t83))) % 216.27/216.60 (step @p76 :rule eq-symm :args (@t23 @t1)) % 216.27/216.60 (step @p77 :rule cong :premises (@p76) :args (@t24)) % 216.27/216.60 (step @p78 :rule eq_resolve :premises (@p7 @p77)) % 216.27/216.60 (step @p79 :rule instantiate :premises (@p78) :args ((@list @t44))) % 216.27/216.60 (step @p80 :rule instantiate :premises (@p78) :args ((@list tptp.identity))) % 216.27/216.60 (step @p81 :rule eq-symm :args (@t33 tptp.zero)) % 216.27/216.60 (step @p82 :rule nary_cong :premises (@p33 @p81) :args (@t34)) % 216.27/216.60 (step @p83 :rule cong :premises (@p82) :args (@t35)) % 216.27/216.60 (step @p84 :rule eq_resolve :premises (@p10 @p83)) % 216.27/216.60 (step @p85 :rule instantiate :premises (@p84) :args ((@list @t86 tptp.b @t50))) % 216.27/216.60 (step @p86 :rule instantiate :premises (@p20) :args ((@list tptp.identity tptp.b @t44))) % 216.27/216.60 (step @p87 :rule refl :args (@t44)) % 216.27/216.60 (step @p88 :rule symm :premises (@p79)) % 216.27/216.60 (step @p89 :rule cong :premises (@p88 @p87) :args ((tptp.divide @t84 @t44))) % 216.27/216.60 (step @p90 :rule instantiate :premises (@p68) :args ((@list @t44 tptp.zero))) % 216.27/216.60 (step @p91 :rule trans :premises (@p90 @p89)) % 216.27/216.60 (step @p92 :rule cnf_or_pos :args (@t91)) % 216.27/216.60 (step @p93 :rule reordering :premises (@p92) :args ((or @t90 @t88 (not @t91)))) % 201.60/216.60 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p86) :args (@t88 @t59 (@list @t89 @t91))) % 201.60/216.60 (step @p95 :rule refl :args (@t92)) % 201.60/216.60 (step @p96 :rule bool-double-not-elim :args (@t93)) % 201.60/216.60 (step @p97 :rule refl :args (@t95)) % 201.60/216.60 (step @p98 :rule refl :args (@t97)) % 201.60/216.60 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96 @p95) :args ((or @t97 @t95 (not @t98) @t92))) % 201.60/216.60 (assume-push @p444 @t96) % 201.60/216.60 (assume-push @p445 @t94) % 201.60/216.60 (assume-push @p446 @t98) % 201.60/216.60 (assume-push @p447 @t98) % 201.60/216.60 (assume-push @p448 @t94) % 201.60/216.60 (assume-push @p449 @t96) % 201.60/216.60 (step @p106 :rule false_intro :premises (@p446)) % 201.60/216.60 (step @p107 :rule refl :args (tptp.b)) % 201.60/216.60 (step @p108 :rule cong :premises (@p80 @p79) :args (@t46)) % 201.60/216.60 (step @p109 :rule cong :premises (@p108 @p107) :args (@t87)) % 201.60/216.60 (step @p110 :rule refl :args (tptp.zero)) % 201.60/216.60 (step @p111 :rule cong :premises (@p110 @p109) :args (@t88)) % 201.60/216.60 (step @p112 :rule trans :premises (@p111 @p106)) % 201.60/216.60 (step @p113 :rule false_elim :premises (@p112)) % 201.60/216.60 (step-pop @p450 :rule scope :premises (@p113)) % 201.60/216.60 (step-pop @p451 :rule scope :premises (@p450)) % 201.60/216.60 (step-pop @p452 :rule scope :premises (@p451)) % 201.60/216.60 (step @p114 :rule process_scope :premises (@p452) :args (@t92)) % 201.60/216.60 (step @p118 :rule and_intro :premises (@p446 @p80 @p79)) % 201.60/216.60 (step @p119 :rule modus_ponens :premises (@p118 @p114)) % 201.60/216.60 (step-pop @p453 :rule scope :premises (@p119)) % 201.60/216.60 (step-pop @p454 :rule scope :premises (@p453)) % 201.60/216.60 (step-pop @p455 :rule scope :premises (@p454)) % 201.60/216.60 (step @p120 :rule process_scope :premises (@p455) :args (@t92)) % 201.60/216.60 (step @p124 :rule implies_elim :premises (@p120)) % 201.60/216.60 (step @p125 :rule cnf_and_neg :args (@t99)) % 201.60/216.60 (step @p126 :rule resolution :premises (@p125 @p124) :args (true @t99)) % 201.60/216.60 (step @p127 :rule eq_resolve :premises (@p126 @p99)) % 201.60/216.60 (step @p128 :rule chain_m_resolution :premises (@p127 @p94 @p80 @p79) :args (@t93 @t80 (@list @t88 @t94 @t96))) % 201.60/216.60 (step @p129 :rule cnf_or_pos :args (@t103)) % 201.60/216.60 (step @p130 :rule reordering :premises (@p129) :args ((or @t98 @t102 (not @t103)))) % 201.60/216.60 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p85) :args (@t102 @t59 (@list @t93 @t103))) % 201.60/216.60 (assume-push @p456 @t104) % 201.60/216.60 (assume-push @p457 @t96) % 201.60/216.60 (assume-push @p458 @t94) % 201.60/216.60 (assume-push @p459 @t102) % 201.60/216.60 (assume-push @p460 @t104) % 201.60/216.60 (assume-push @p461 @t94) % 201.60/216.60 (assume-push @p462 @t96) % 201.60/216.60 (assume-push @p463 @t102) % 201.60/216.60 (step @p140 :rule symm :premises (@p80)) % 201.60/216.60 (step @p141 :rule cong :premises (@p140 @p88) :args (@t86)) % 201.60/216.60 (step @p142 :rule symm :premises (@p54)) % 201.60/216.60 (step @p143 :rule cong :premises (@p142 @p141) :args (@t100)) % 201.60/216.60 (step @p107 :rule refl :args (tptp.b)) % 201.60/216.60 (step @p144 :rule cong :premises (@p142 @p107) :args (@t52)) % 201.60/216.60 (step @p145 :rule cong :premises (@p144 @p143) :args (@t101)) % 201.60/216.60 (step @p146 :rule trans :premises (@p459 @p145)) % 201.60/216.60 (step-pop @p464 :rule scope :premises (@p146)) % 201.60/216.60 (step-pop @p465 :rule scope :premises (@p464)) % 201.60/216.60 (step-pop @p466 :rule scope :premises (@p465)) % 201.60/216.60 (step-pop @p467 :rule scope :premises (@p466)) % 201.60/216.60 (step @p147 :rule process_scope :premises (@p467) :args (@t106)) % 201.60/216.60 (step @p152 :rule and_intro :premises (@p54 @p80 @p79 @p459)) % 201.60/216.60 (step @p153 :rule modus_ponens :premises (@p152 @p147)) % 201.60/216.60 (step-pop @p468 :rule scope :premises (@p153)) % 201.60/216.60 (step-pop @p469 :rule scope :premises (@p468)) % 201.60/216.60 (step-pop @p470 :rule scope :premises (@p469)) % 201.60/216.60 (step-pop @p471 :rule scope :premises (@p470)) % 201.60/216.60 (step @p154 :rule process_scope :premises (@p471) :args (@t106)) % 201.60/216.60 (step @p159 :rule implies_elim :premises (@p154)) % 201.60/216.60 (step @p160 :rule cnf_and_neg :args (@t107)) % 201.60/216.60 (step @p161 :rule resolution :premises (@p160 @p159) :args (true @t107)) % 201.60/216.60 (step @p162 :rule reordering :premises (@p161) :args ((or @t108 @t97 @t95 @t106 (not @t102)))) % 201.60/216.60 (step @p163 :rule chain_m_resolution :premises (@p162 @p131 @p80 @p79 @p54) :args (@t106 @t109 @t110)) % 201.60/216.60 (step @p164 :rule cnf_or_pos :args (@t114)) % 201.60/216.60 (step @p165 :rule reordering :premises (@p164) :args ((or @t113 @t112 @t111 (not @t114)))) % 201.60/216.60 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p75 @p62) :args (@t111 @t80 (@list @t106 @t81 @t114))) % 201.60/216.60 (step @p167 :rule instantiate :premises (@p84) :args ((@list @t43 tptp.a @t44))) % 201.60/216.60 (step @p168 :rule instantiate :premises (@p20) :args ((@list tptp.identity tptp.a @t42))) % 201.60/216.60 (step @p169 :rule refl :args (@t42)) % 201.60/216.60 (step @p142 :rule symm :premises (@p54)) % 201.60/216.60 (step @p170 :rule cong :premises (@p142 @p169) :args (@t115)) % 201.60/216.60 (step @p171 :rule instantiate :premises (@p20) :args ((@list tptp.identity @t42 @t43))) % 201.60/216.60 (step @p172 :rule refl :args (@t43)) % 201.60/216.60 (step @p173 :rule instantiate :premises (@p78) :args ((@list @t43))) % 201.60/216.60 (step @p174 :rule symm :premises (@p173)) % 201.60/216.60 (step @p175 :rule cong :premises (@p174 @p172) :args ((tptp.divide (tptp.divide @t43 tptp.zero) @t43))) % 201.60/216.60 (step @p176 :rule instantiate :premises (@p68) :args ((@list @t43 tptp.zero))) % 201.60/216.60 (step @p177 :rule trans :premises (@p176 @p175)) % 201.60/216.60 (step @p178 :rule cnf_or_pos :args (@t119)) % 201.60/216.60 (step @p179 :rule reordering :premises (@p178) :args ((or @t118 @t116 (not @t119)))) % 201.60/216.60 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p171) :args (@t116 @t59 (@list @t117 @t119))) % 201.60/216.60 (step @p181 :rule trans :premises (@p180 @p170)) % 201.60/216.60 (step @p182 :rule cnf_or_pos :args (@t124)) % 201.60/216.60 (step @p183 :rule reordering :premises (@p182) :args ((or @t121 @t123 (not @t124)))) % 201.60/216.60 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p168) :args (@t121 @t59 (@list @t122 @t124))) % 201.60/216.60 (step @p185 :rule cnf_or_pos :args (@t127)) % 201.60/216.60 (step @p186 :rule reordering :premises (@p185) :args ((or @t126 @t125 (not @t127)))) % 201.60/216.60 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p167) :args (@t125 @t59 (@list @t121 @t127))) % 201.60/216.60 (step @p188 :rule cnf_or_pos :args (@t132)) % 201.60/216.60 (step @p189 :rule reordering :premises (@p188) :args ((or @t130 @t131 @t129 (not @t132)))) % 201.60/216.60 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p166 @p61) :args (@t129 @t80 (@list @t125 @t111 @t132))) % 201.60/216.60 (assume-push @p472 @t104) % 201.60/216.60 (assume-push @p473 @t129) % 201.60/216.60 (assume-push @p474 @t104) % 201.60/216.60 (assume-push @p475 @t129) % 201.60/216.60 (step @p195 :rule refl :args (@t45)) % 201.60/216.60 (step @p107 :rule refl :args (tptp.b)) % 201.60/216.60 (step @p196 :rule cong :premises (@p54 @p107) :args (@t71)) % 201.60/216.60 (step @p197 :rule cong :premises (@p196 @p195) :args (@t128)) % 201.60/216.60 (step @p198 :rule trans :premises (@p473 @p197)) % 201.60/216.60 (step-pop @p476 :rule scope :premises (@p198)) % 201.60/216.60 (step-pop @p477 :rule scope :premises (@p476)) % 201.60/216.60 (step @p199 :rule process_scope :premises (@p477) :args (@t133)) % 201.60/216.60 (step @p202 :rule and_intro :premises (@p54 @p473)) % 201.60/216.60 (step @p203 :rule modus_ponens :premises (@p202 @p199)) % 201.60/216.60 (step-pop @p478 :rule scope :premises (@p203)) % 201.60/216.60 (step-pop @p479 :rule scope :premises (@p478)) % 201.60/216.60 (step @p204 :rule process_scope :premises (@p479) :args (@t133)) % 201.60/216.60 (step @p207 :rule implies_elim :premises (@p204)) % 201.60/216.60 (step @p208 :rule cnf_and_neg :args (@t134)) % 201.60/216.60 (step @p209 :rule resolution :premises (@p208 @p207) :args (true @t134)) % 201.60/216.60 (step @p210 :rule reordering :premises (@p209) :args ((or @t108 @t133 (not @t129)))) % 201.60/216.60 (step @p211 :rule chain_m_resolution :premises (@p210 @p190 @p54) :args (@t133 @t59 (@list @t129 @t104))) % 201.60/216.60 (step @p212 :rule instantiate :premises (@p60) :args ((@list @t45 @t47 @t52))) % 201.60/216.60 (step @p213 :rule eq-symm :args (@t136 @t47)) % 201.60/216.60 (step @p214 :rule refl :args (@t138)) % 201.60/216.60 (step @p215 :rule refl :args (@t140)) % 201.60/216.60 (step @p216 :rule nary_cong :premises (@p215 @p214 @p213) :args (@t141)) % 201.60/216.60 (step @p217 :rule cong :premises (@p41 @p216) :args ((=> @t65 @t141))) % 201.60/216.60 (assume-push @p480 @t65) % 201.60/216.60 (step @p219 :rule instantiate :premises (@p36) :args ((@list @t136 @t47))) % 201.60/216.60 (step-pop @p481 :rule scope :premises (@p219)) % 201.60/216.60 (step @p220 :rule process_scope :premises (@p481) :args (@t141)) % 201.60/216.60 (step @p222 :rule eq_resolve :premises (@p220 @p217)) % 201.60/216.60 (step @p223 :rule implies_elim :premises (@p222)) % 201.60/216.60 (step @p224 :rule chain_m_resolution :premises (@p223 @p36) :args (@t143 @t68 @t69)) % 201.60/216.60 (step @p107 :rule refl :args (tptp.b)) % 201.60/216.60 (step @p225 :rule refl :args (tptp.identity)) % 201.60/216.60 (step @p226 :rule cong :premises (@p225 @p54) :args (@t43)) % 201.60/216.60 (step @p227 :rule cong :premises (@p226 @p107) :args (@t144)) % 201.60/216.60 (step @p228 :rule eq-symm :args (@t40 @t36)) % 201.60/216.60 (step @p229 :rule cong :premises (@p228) :args (@t41)) % 201.60/216.60 (step @p230 :rule eq_resolve :premises (@p13 @p229)) % 201.60/216.60 (step @p231 :rule instantiate :premises (@p230) :args (@t145)) % 201.60/216.60 (step @p232 :rule cong :premises (@p231 @p227) :args (@t146)) % 201.60/216.60 (step @p233 :rule refl :args (@t47)) % 201.60/216.60 (step @p234 :rule cong :premises (@p233 @p232) :args (@t147)) % 201.60/216.60 (step @p235 :rule instantiate :premises (@p60) :args ((@list @t47 @t70 @t146))) % 201.60/216.60 (step @p236 :rule instantiate :premises (@p84) :args ((@list @t144 tptp.a @t44))) % 201.60/216.60 (step @p237 :rule instantiate :premises (@p20) :args ((@list @t43 tptp.a tptp.b))) % 201.60/216.60 (step @p238 :rule cong :premises (@p184 @p107) :args ((tptp.divide tptp.zero tptp.b))) % 201.60/216.60 (step @p239 :rule eq-symm :args (@t14 tptp.zero)) % 201.60/216.60 (step @p240 :rule cong :premises (@p239) :args (@t16)) % 201.60/216.60 (step @p241 :rule eq_resolve :premises (@p3 @p240)) % 201.60/216.60 (step @p242 :rule instantiate :premises (@p241) :args (@t145)) % 201.60/216.60 (step @p243 :rule trans :premises (@p242 @p238)) % 201.60/216.60 (step @p244 :rule cnf_or_pos :args (@t151)) % 201.60/216.60 (step @p245 :rule reordering :premises (@p244) :args ((or @t150 @t148 (not @t151)))) % 201.60/216.60 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p237) :args (@t148 @t59 (@list @t149 @t151))) % 201.60/216.60 (step @p247 :rule cnf_or_pos :args (@t154)) % 201.60/216.60 (step @p248 :rule reordering :premises (@p247) :args ((or @t153 @t152 (not @t154)))) % 201.60/216.60 (step @p249 :rule chain_m_resolution :premises (@p248 @p246 @p236) :args (@t152 @t59 (@list @t148 @t154))) % 201.60/216.60 (step @p250 :rule cnf_or_pos :args (@t157)) % 201.60/216.60 (step @p251 :rule reordering :premises (@p250) :args ((or @t156 @t112 @t155 (not @t157)))) % 201.60/216.60 (step @p252 :rule chain_m_resolution :premises (@p251 @p249 @p75 @p235) :args (@t155 @t80 (@list @t152 @t81 @t157))) % 201.60/216.60 (step @p253 :rule trans :premises (@p252 @p234)) % 201.60/216.60 (step @p254 :rule instantiate :premises (@p60) :args ((@list @t53 @t52 @t47))) % 201.60/216.60 (assume-push @p482 @t104) % 201.60/216.60 (assume-push @p483 @t96) % 201.60/216.60 (assume-push @p484 @t94) % 201.60/216.60 (assume-push @p485 @t102) % 201.60/216.60 (assume-push @p486 @t104) % 201.60/216.60 (assume-push @p487 @t94) % 201.60/216.60 (assume-push @p488 @t96) % 201.60/216.60 (assume-push @p489 @t102) % 201.60/216.60 (step @p196 :rule cong :premises (@p54 @p107) :args (@t71)) % 201.60/216.60 (step @p263 :rule cong :premises (@p196 @p233) :args (@t105)) % 201.60/216.60 (step @p140 :rule symm :premises (@p80)) % 201.60/216.60 (step @p141 :rule cong :premises (@p140 @p88) :args (@t86)) % 201.60/216.60 (step @p143 :rule cong :premises (@p142 @p141) :args (@t100)) % 201.60/216.60 (step @p144 :rule cong :premises (@p142 @p107) :args (@t52)) % 201.60/216.60 (step @p145 :rule cong :premises (@p144 @p143) :args (@t101)) % 201.60/216.60 (step @p264 :rule trans :premises (@p485 @p145 @p263)) % 201.60/216.60 (step-pop @p490 :rule scope :premises (@p264)) % 201.60/216.60 (step-pop @p491 :rule scope :premises (@p490)) % 201.60/216.60 (step-pop @p492 :rule scope :premises (@p491)) % 201.60/216.60 (step-pop @p493 :rule scope :premises (@p492)) % 201.60/216.60 (step @p265 :rule process_scope :premises (@p493) :args (@t158)) % 201.60/216.60 (step @p270 :rule and_intro :premises (@p54 @p80 @p79 @p485)) % 201.60/216.60 (step @p271 :rule modus_ponens :premises (@p270 @p265)) % 201.60/216.60 (step-pop @p494 :rule scope :premises (@p271)) % 201.60/216.60 (step-pop @p495 :rule scope :premises (@p494)) % 201.60/216.60 (step-pop @p496 :rule scope :premises (@p495)) % 201.60/216.60 (step-pop @p497 :rule scope :premises (@p496)) % 201.60/216.60 (step @p272 :rule process_scope :premises (@p497) :args (@t158)) % 201.60/216.60 (step @p277 :rule implies_elim :premises (@p272)) % 201.60/216.60 (step @p278 :rule resolution :premises (@p160 @p277) :args (true @t107)) % 201.60/216.60 (step @p279 :rule chain_m_resolution :premises (@p278 @p131 @p80 @p79 @p54) :args (@t158 @t109 @t110)) % 201.60/216.60 (step @p280 :rule cnf_or_pos :args (@t162)) % 201.60/216.60 (step @p281 :rule reordering :premises (@p280) :args ((or @t62 @t161 @t160 (not @t162)))) % 201.60/216.60 (step @p282 :rule chain_m_resolution :premises (@p281 @p28 @p279 @p254) :args (@t160 @t80 (@list @t55 @t158 @t162))) % 201.60/216.60 (assume-push @p498 @t163) % 201.60/216.60 (assume-push @p499 @t160) % 201.60/216.60 (assume-push @p500 @t163) % 201.60/216.60 (assume-push @p501 @t160) % 201.60/216.60 (step @p287 :rule refl :args (@t51)) % 201.60/216.60 (step @p288 :rule cong :premises (@p231 @p287) :args (@t53)) % 201.60/216.60 (step @p289 :rule cong :premises (@p288 @p233) :args (@t159)) % 201.60/216.60 (step @p290 :rule trans :premises (@p499 @p289)) % 201.60/216.60 (step-pop @p502 :rule scope :premises (@p290)) % 201.60/216.60 (step-pop @p503 :rule scope :premises (@p502)) % 201.60/216.60 (step @p291 :rule process_scope :premises (@p503) :args (@t139)) % 201.60/216.60 (step @p294 :rule and_intro :premises (@p231 @p499)) % 201.60/216.60 (step @p295 :rule modus_ponens :premises (@p294 @p291)) % 201.60/216.60 (step-pop @p504 :rule scope :premises (@p295)) % 201.60/216.60 (step-pop @p505 :rule scope :premises (@p504)) % 201.60/216.60 (step @p296 :rule process_scope :premises (@p505) :args (@t139)) % 201.60/216.60 (step @p299 :rule implies_elim :premises (@p296)) % 201.60/216.60 (step @p300 :rule cnf_and_neg :args (@t164)) % 201.60/216.60 (step @p301 :rule resolution :premises (@p300 @p299) :args (true @t164)) % 201.60/216.60 (step @p302 :rule reordering :premises (@p301) :args ((or @t165 @t139 (not @t160)))) % 201.60/216.60 (step @p303 :rule chain_m_resolution :premises (@p302 @p282 @p231) :args (@t139 @t59 (@list @t160 @t163))) % 201.60/216.60 (step @p304 :rule cnf_or_pos :args (@t143)) % 201.60/216.60 (step @p305 :rule reordering :premises (@p304) :args ((or @t140 @t138 @t142 (not @t143)))) % 201.60/216.60 (step @p306 :rule chain_m_resolution :premises (@p305 @p303 @p253 @p224) :args (@t142 @t80 (@list @t139 @t137 @t143))) % 201.60/216.60 (assume-push @p506 @t163) % 201.60/216.60 (assume-push @p507 @t104) % 201.60/216.60 (assume-push @p508 @t55) % 201.60/216.60 (assume-push @p509 @t142) % 201.60/216.60 (assume-push @p510 @t142) % 201.60/216.60 (assume-push @p511 @t163) % 201.60/216.60 (assume-push @p512 @t104) % 201.60/216.60 (assume-push @p513 @t55) % 201.60/216.60 (step @p315 :rule refl :args (@t52)) % 201.60/216.60 (step @p316 :rule symm :premises (@p509)) % 201.60/216.60 (step @p287 :rule refl :args (@t51)) % 201.60/216.60 (step @p288 :rule cong :premises (@p231 @p287) :args (@t53)) % 201.60/216.60 (step @p317 :rule trans :premises (@p288 @p316)) % 201.60/216.60 (step @p318 :rule symm :premises (@p288)) % 201.60/216.60 (step @p319 :rule trans :premises (@p232 @p318 @p317)) % 201.60/216.60 (step @p320 :rule cong :premises (@p319 @p315) :args ((tptp.divide @t146 @t52))) % 201.60/216.60 (step @p321 :rule symm :premises (@p232)) % 201.60/216.60 (step @p322 :rule trans :premises (@p288 @p321)) % 201.60/216.60 (step @p323 :rule cong :premises (@p322 @p315) :args (@t54)) % 201.60/216.60 (step @p324 :rule trans :premises (@p28 @p323 @p320)) % 201.60/216.60 (step-pop @p514 :rule scope :premises (@p324)) % 201.60/216.60 (step-pop @p515 :rule scope :premises (@p514)) % 201.60/216.60 (step-pop @p516 :rule scope :premises (@p515)) % 201.60/216.60 (step-pop @p517 :rule scope :premises (@p516)) % 201.60/216.60 (step @p325 :rule process_scope :premises (@p517) :args (@t166)) % 201.60/216.60 (step @p330 :rule and_intro :premises (@p509 @p231 @p54 @p28)) % 201.60/216.60 (step @p331 :rule modus_ponens :premises (@p330 @p325)) % 201.60/216.60 (step-pop @p518 :rule scope :premises (@p331)) % 201.60/216.60 (step-pop @p519 :rule scope :premises (@p518)) % 201.60/216.60 (step-pop @p520 :rule scope :premises (@p519)) % 201.60/216.60 (step-pop @p521 :rule scope :premises (@p520)) % 201.60/216.60 (step @p332 :rule process_scope :premises (@p521) :args (@t166)) % 201.60/216.60 (step @p337 :rule implies_elim :premises (@p332)) % 201.60/216.60 (step @p338 :rule cnf_and_neg :args (@t167)) % 201.60/216.60 (step @p339 :rule resolution :premises (@p338 @p337) :args (true @t167)) % 201.60/216.60 (step @p340 :rule chain_m_resolution :premises (@p339 @p231 @p54 @p28 @p306) :args (@t166 @t109 (@list @t163 @t104 @t55 @t142))) % 201.60/216.60 (step @p341 :rule instantiate :premises (@p60) :args ((@list @t45 @t169 @t47))) % 201.60/216.60 (step @p342 :rule refl :args (@t46)) % 201.60/216.60 (step @p343 :rule cong :premises (@p142 @p342) :args (@t170)) % 201.60/216.60 (step @p344 :rule refl :args (@t168)) % 201.60/216.60 (step @p345 :rule instantiate :premises (@p53) :args (@t145)) % 201.60/216.60 (step @p346 :rule symm :premises (@p345)) % 201.60/216.60 (step @p347 :rule cong :premises (@p346 @p344) :args (@t171)) % 201.60/216.60 (step @p348 :rule cong :premises (@p347 @p343) :args ((tptp.divide @t171 @t170))) % 201.60/216.60 (step @p349 :rule instantiate :premises (@p24) :args ((@list tptp.identity @t46 @t43))) % 201.60/216.60 (step @p350 :rule trans :premises (@p349 @p348)) % 201.60/216.60 (step @p351 :rule instantiate :premises (@p84) :args ((@list @t168 @t43 @t44))) % 201.60/216.60 (step @p352 :rule instantiate :premises (@p68) :args ((@list @t43 @t46))) % 201.60/216.60 (step @p353 :rule cnf_or_pos :args (@t175)) % 201.60/216.60 (step @p354 :rule reordering :premises (@p353) :args ((or @t174 @t172 (not @t175)))) % 201.60/216.60 (step @p355 :rule chain_m_resolution :premises (@p354 @p352 @p351) :args (@t172 @t59 (@list @t173 @t175))) % 201.60/216.60 (step @p356 :rule cnf_or_pos :args (@t181)) % 201.60/216.60 (step @p357 :rule reordering :premises (@p356) :args ((or @t180 @t179 @t177 (not @t181)))) % 201.60/216.60 (step @p358 :rule chain_m_resolution :premises (@p357 @p355 @p350 @p341) :args (@t177 @t80 (@list @t172 @t178 @t181))) % 201.60/216.60 (step @p359 :rule cnf_or_pos :args (@t185)) % 201.60/216.60 (step @p360 :rule reordering :premises (@p359) :args ((or @t182 @t184 @t183 (not @t185)))) % 201.60/216.60 (step @p361 :rule chain_m_resolution :premises (@p360 @p358 @p340 @p212) :args (@t182 @t80 (@list @t177 @t166 @t185))) % 201.60/216.60 (step @p362 :rule cnf_or_pos :args (@t189)) % 201.60/216.60 (step @p363 :rule reordering :premises (@p362) :args ((or @t186 @t188 @t187 (not @t189)))) % 201.60/216.60 (step @p364 :rule chain_m_resolution :premises (@p363 @p361 @p211 @p50) :args (@t186 @t80 (@list @t182 @t133 @t189))) % 201.60/216.60 (step @p365 :rule refl :args (@t190)) % 201.60/216.60 (step @p366 :rule refl :args (@t191)) % 201.60/216.60 (step @p367 :rule refl :args (@t192)) % 201.60/216.60 (step @p368 :rule refl :args (@t165)) % 201.60/216.60 (step @p369 :rule bool-double-not-elim :args (@t48)) % 201.60/216.60 (step @p370 :rule nary_cong :premises (@p369 @p368 @p367 @p366 @p365) :args ((or (not @t49) @t165 @t192 @t191 @t190))) % 201.60/216.60 (assume-push @p522 @t49) % 201.60/216.60 (assume-push @p523 @t163) % 201.60/216.60 (assume-push @p524 @t186) % 201.60/216.60 (assume-push @p525 @t142) % 201.60/216.60 (assume-push @p526 @t142) % 201.60/216.60 (assume-push @p527 @t163) % 201.60/216.60 (assume-push @p528 @t49) % 201.60/216.60 (assume-push @p529 @t186) % 201.60/216.60 (step @p379 :rule bool-eq-false :args (@t66)) % 201.60/216.60 (step @p380 :rule symm :premises (@p379)) % 201.60/216.60 (step @p381 :rule cong :premises (@p37) :args ((not @t63))) % 201.60/216.60 (step @p382 :rule bool-eq-false :args (@t63)) % 201.60/216.60 (step @p383 :rule trans :premises (@p382 @p381)) % 201.60/216.60 (step @p384 :rule trans :premises (@p383 @p380)) % 201.60/216.60 (step @p385 :rule false_intro :premises (@p14)) % 201.60/216.60 (step @p386 :rule symm :premises (@p524)) % 201.60/216.60 (step @p387 :rule symm :premises (@p525)) % 201.60/216.60 (step @p287 :rule refl :args (@t51)) % 201.60/216.60 (step @p288 :rule cong :premises (@p231 @p287) :args (@t53)) % 201.60/216.60 (step @p388 :rule trans :premises (@p288 @p387)) % 201.60/216.60 (step @p389 :rule cong :premises (@p388 @p386) :args (@t63)) % 201.60/216.60 (step @p390 :rule trans :premises (@p389 @p385)) % 201.60/216.60 (step @p391 :rule eq_resolve :premises (@p390 @p384)) % 201.60/216.60 (step @p392 :rule false_elim :premises (@p391)) % 201.60/216.60 (step-pop @p530 :rule scope :premises (@p392)) % 201.60/216.60 (step-pop @p531 :rule scope :premises (@p530)) % 201.60/216.60 (step-pop @p532 :rule scope :premises (@p531)) % 201.60/216.60 (step-pop @p533 :rule scope :premises (@p532)) % 201.60/216.60 (step @p393 :rule process_scope :premises (@p533) :args (@t190)) % 201.60/216.60 (step @p398 :rule and_intro :premises (@p525 @p231 @p14 @p524)) % 201.60/216.60 (step @p399 :rule modus_ponens :premises (@p398 @p393)) % 201.60/216.60 (step-pop @p534 :rule scope :premises (@p399)) % 201.60/216.60 (step-pop @p535 :rule scope :premises (@p534)) % 201.60/216.60 (step-pop @p536 :rule scope :premises (@p535)) % 201.60/216.60 (step-pop @p537 :rule scope :premises (@p536)) % 201.60/216.60 (step @p400 :rule process_scope :premises (@p537) :args (@t190)) % 201.60/216.60 (step @p405 :rule implies_elim :premises (@p400)) % 201.60/216.60 (step @p406 :rule cnf_and_neg :args (@t193)) % 201.60/216.60 (step @p407 :rule resolution :premises (@p406 @p405) :args (true @t193)) % 201.60/216.60 (step @p408 :rule eq_resolve :premises (@p407 @p370)) % 201.60/216.60 (step @p409 :rule reordering :premises (@p408) :args ((or @t48 @t165 @t191 @t192 @t190))) % 201.60/216.60 (step @p410 :rule chain_m_resolution :premises (@p409 @p14 @p231 @p306 @p364) :args (@t190 (@list true false false false) (@list @t48 @t163 @t142 @t186))) % 201.60/216.60 (assume-push @p538 @t163) % 201.60/216.60 (assume-push @p539 @t186) % 201.60/216.60 (assume-push @p540 @t142) % 201.60/216.60 (assume-push @p541 @t177) % 201.60/216.60 (assume-push @p542 @t186) % 201.60/216.60 (assume-push @p543 @t163) % 201.60/216.60 (assume-push @p544 @t142) % 201.60/216.60 (assume-push @p545 @t177) % 201.60/216.60 (step @p287 :rule refl :args (@t51)) % 201.60/216.60 (step @p288 :rule cong :premises (@p231 @p287) :args (@t53)) % 201.60/216.60 (step @p318 :rule symm :premises (@p288)) % 201.60/216.60 (step @p419 :rule trans :premises (@p540 @p318)) % 201.60/216.60 (step @p420 :rule cong :premises (@p539 @p419) :args (@t176)) % 201.60/216.60 (step @p421 :rule trans :premises (@p358 @p420)) % 201.60/216.60 (step-pop @p546 :rule scope :premises (@p421)) % 201.60/216.60 (step-pop @p547 :rule scope :premises (@p546)) % 201.60/216.60 (step-pop @p548 :rule scope :premises (@p547)) % 201.60/216.60 (step-pop @p549 :rule scope :premises (@p548)) % 201.60/216.60 (step @p422 :rule process_scope :premises (@p549) :args (@t60)) % 201.60/216.60 (step @p427 :rule and_intro :premises (@p539 @p231 @p540 @p358)) % 201.60/216.60 (step @p428 :rule modus_ponens :premises (@p427 @p422)) % 201.60/216.60 (step-pop @p550 :rule scope :premises (@p428)) % 201.60/216.60 (step-pop @p551 :rule scope :premises (@p550)) % 201.60/216.60 (step-pop @p552 :rule scope :premises (@p551)) % 201.60/216.60 (step-pop @p553 :rule scope :premises (@p552)) % 201.60/216.60 (step @p429 :rule process_scope :premises (@p553) :args (@t60)) % 201.60/216.60 (step @p434 :rule implies_elim :premises (@p429)) % 201.60/216.60 (step @p435 :rule cnf_and_neg :args (@t194)) % 201.60/216.60 (step @p436 :rule resolution :premises (@p435 @p434) :args (true @t194)) % 201.60/216.60 (step @p437 :rule reordering :premises (@p436) :args ((or @t165 @t191 @t192 @t184 @t60))) % 201.60/216.60 (step @p438 :rule chain_m_resolution :premises (@p437 @p231 @p306 @p364 @p358) :args (@t60 @t109 (@list @t163 @t142 @t186 @t177))) % 201.60/216.60 (step @p439 :rule cnf_or_pos :args (@t67)) % 201.60/216.60 (step @p440 :rule reordering :premises (@p439) :args ((or @t62 @t61 @t66 (not @t67)))) % 201.60/216.60 (step @p441 false :rule chain_m_resolution :premises (@p440 @p438 @p410 @p49 @p28) :args (false (@list false true false false) (@list @t60 @t66 @t67 @t55))) % 201.60/216.60 ) % 201.60/216.60 % SZS output end Proof % 201.60/216.60 % cvc5 exiting %------------------------------------------------------------------------------