%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP355-1 : 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 : n025.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 08:20:34 AM UTC 2026 % Result : Unsatisfiable 28.04s 28.39s % Output : Proof 28.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP355-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.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 01:02:31 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/16.17 --- Run --no-e-matching --full-saturate-quant at 6... % 21.95/22.19 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.00/28.22 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.04/28.39 % SZS status Unsatisfiable % 28.04/28.39 % SZS output start Proof % 28.04/28.40 ( % 28.04/28.40 (declare-sort $$unsorted 0) % 28.04/28.40 (declare-const tptp.sk_c1 $$unsorted) % 28.04/28.40 (declare-const tptp.sk_c5 $$unsorted) % 28.04/28.40 (declare-const tptp.sk_c6 $$unsorted) % 28.04/28.40 (declare-const tptp.sk_c2 $$unsorted) % 28.04/28.40 (declare-const tptp.sk_c8 $$unsorted) % 28.04/28.40 (declare-const tptp.sk_c7 $$unsorted) % 28.04/28.40 (declare-const tptp.sk_c3 $$unsorted) % 28.04/28.40 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 28.04/28.40 (declare-const tptp.sk_c4 $$unsorted) % 28.04/28.40 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 28.04/28.40 (declare-const tptp.identity $$unsorted) % 28.04/28.40 (define @t1 () (@var "X" $$unsorted)) % 28.04/28.40 (define @t2 () (tptp.multiply tptp.identity @t1)) % 28.04/28.40 (define @t3 () (@list @t1)) % 28.04/28.40 (define @t4 () (forall @t3 (= @t2 @t1))) % 28.04/28.40 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 28.04/28.40 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 28.04/28.40 (define @t7 () (@var "Z" $$unsorted)) % 28.04/28.40 (define @t8 () (@var "Y" $$unsorted)) % 28.04/28.40 (define @t9 () (tptp.multiply tptp.sk_c2 tptp.sk_c8)) % 28.04/28.40 (define @t10 () (= @t9 tptp.sk_c7)) % 28.04/28.40 (define @t11 () (tptp.multiply tptp.sk_c7 tptp.sk_c6)) % 28.04/28.40 (define @t12 () (= @t11 tptp.sk_c8)) % 28.04/28.40 (define @t13 () (or @t12 @t10)) % 28.04/28.40 (define @t14 () (tptp.inverse tptp.sk_c2)) % 28.04/28.40 (define @t15 () (= @t14 tptp.sk_c8)) % 28.04/28.40 (define @t16 () (or @t12 @t15)) % 28.04/28.40 (define @t17 () (tptp.multiply tptp.sk_c3 tptp.sk_c6)) % 28.04/28.40 (define @t18 () (= @t17 tptp.sk_c7)) % 28.04/28.40 (define @t19 () (tptp.inverse tptp.sk_c3)) % 28.04/28.40 (define @t20 () (= @t19 tptp.sk_c6)) % 28.04/28.40 (define @t21 () (tptp.multiply tptp.sk_c8 tptp.sk_c5)) % 28.04/28.40 (define @t22 () (= @t21 tptp.sk_c6)) % 28.04/28.40 (define @t23 () (or @t12 @t22)) % 28.04/28.40 (define @t24 () (tptp.multiply tptp.sk_c4 tptp.sk_c8)) % 28.04/28.40 (define @t25 () (= @t24 tptp.sk_c5)) % 28.04/28.40 (define @t26 () (or @t12 @t25)) % 28.04/28.40 (define @t27 () (tptp.inverse tptp.sk_c4)) % 28.04/28.40 (define @t28 () (= @t27 tptp.sk_c8)) % 28.04/28.40 (define @t29 () (or @t12 @t28)) % 28.04/28.40 (define @t30 () (tptp.multiply tptp.sk_c1 tptp.sk_c8)) % 28.04/28.40 (define @t31 () (= @t30 tptp.sk_c7)) % 28.04/28.40 (define @t32 () (or @t31 @t10)) % 28.04/28.40 (define @t33 () (or @t31 @t15)) % 28.04/28.40 (define @t34 () (or @t31 @t18)) % 28.04/28.40 (define @t35 () (or @t31 @t20)) % 28.04/28.40 (define @t36 () (or @t31 @t22)) % 28.04/28.40 (define @t37 () (or @t31 @t25)) % 28.04/28.40 (define @t38 () (or @t31 @t28)) % 28.04/28.40 (define @t39 () (tptp.inverse tptp.sk_c1)) % 28.04/28.40 (define @t40 () (= @t39 tptp.sk_c8)) % 28.04/28.40 (define @t41 () (or @t40 @t10)) % 28.04/28.40 (define @t42 () (or @t40 @t15)) % 28.04/28.40 (define @t43 () (or @t40 @t18)) % 28.04/28.40 (define @t44 () (or @t40 @t20)) % 28.04/28.40 (define @t45 () (or @t40 @t22)) % 28.04/28.40 (define @t46 () (or @t40 @t25)) % 28.04/28.40 (define @t47 () (or @t40 @t28)) % 28.04/28.40 (define @t48 () (@var "X5" $$unsorted)) % 28.04/28.40 (define @t49 () (tptp.inverse @t48)) % 28.04/28.40 (define @t50 () (not (= @t49 tptp.sk_c8))) % 28.04/28.40 (define @t51 () (@var "X4" $$unsorted)) % 28.04/28.40 (define @t52 () (tptp.multiply @t48 tptp.sk_c8)) % 28.04/28.40 (define @t53 () (not (= @t52 @t51))) % 28.04/28.40 (define @t54 () (tptp.multiply tptp.sk_c8 @t51)) % 28.04/28.40 (define @t55 () (not (= @t54 tptp.sk_c6))) % 28.04/28.40 (define @t56 () (@var "X3" $$unsorted)) % 28.04/28.40 (define @t57 () (tptp.inverse @t56)) % 28.04/28.40 (define @t58 () (not (= @t57 tptp.sk_c6))) % 28.04/28.40 (define @t59 () (tptp.multiply @t56 tptp.sk_c6)) % 28.04/28.40 (define @t60 () (not (= @t59 tptp.sk_c7))) % 28.04/28.40 (define @t61 () (@var "X1" $$unsorted)) % 28.04/28.40 (define @t62 () (tptp.inverse @t61)) % 28.04/28.40 (define @t63 () (not (= @t62 tptp.sk_c8))) % 28.04/28.40 (define @t64 () (tptp.multiply @t61 tptp.sk_c8)) % 28.04/28.40 (define @t65 () (not (= @t64 tptp.sk_c7))) % 28.04/28.40 (define @t66 () (@var "X2" $$unsorted)) % 28.04/28.40 (define @t67 () (tptp.inverse @t66)) % 28.04/28.40 (define @t68 () (not (= @t67 tptp.sk_c8))) % 28.04/28.40 (define @t69 () (tptp.multiply @t66 tptp.sk_c8)) % 28.04/28.40 (define @t70 () (not (= @t69 tptp.sk_c7))) % 28.04/28.40 (define @t71 () (not @t12)) % 28.04/28.40 (define @t72 () (or @t71 @t70 @t68 @t65 @t63 @t60 @t58 @t55 @t53 @t50)) % 28.04/28.40 (define @t73 () (@list @t66 @t61 @t56 @t51 @t48)) % 28.04/28.40 (define @t74 () (forall @t73 @t72)) % 28.04/28.40 (define @t75 () (@list tptp.sk_c7)) % 28.04/28.40 (define @t76 () (tptp.inverse tptp.sk_c7)) % 28.04/28.40 (define @t77 () (= tptp.sk_c8 @t39)) % 28.04/28.40 (define @t78 () (= tptp.sk_c7 @t9)) % 28.04/28.40 (define @t79 () (= tptp.sk_c8 @t14)) % 28.04/28.40 (define @t80 () (= tptp.sk_c7 @t17)) % 28.04/28.40 (define @t81 () (= tptp.sk_c6 @t19)) % 28.04/28.40 (define @t82 () (= tptp.sk_c6 @t21)) % 28.04/28.40 (define @t83 () (= tptp.sk_c5 @t24)) % 28.04/28.40 (define @t84 () (= tptp.sk_c8 @t27)) % 28.04/28.40 (define @t85 () (not @t79)) % 28.04/28.40 (define @t86 () (not @t78)) % 28.04/28.40 (define @t87 () (or @t86 @t85)) % 28.04/28.40 (define @t88 () (not (= tptp.sk_c8 @t67))) % 28.04/28.40 (define @t89 () (not (= tptp.sk_c7 @t69))) % 28.04/28.40 (define @t90 () (or @t89 @t88)) % 28.04/28.40 (define @t91 () (forall (@list @t66) @t90)) % 28.04/28.40 (define @t92 () (@list tptp.sk_c2)) % 28.04/28.40 (define @t93 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 @t24))) % 28.04/28.40 (define @t94 () (and @t82 @t83)) % 28.04/28.40 (define @t95 () (not @t84)) % 28.04/28.40 (define @t96 () (not @t93)) % 28.04/28.40 (define @t97 () (or @t96 @t95)) % 28.04/28.40 (define @t98 () (not (= tptp.sk_c8 @t49))) % 28.04/28.40 (define @t99 () (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 @t52)))) % 28.04/28.40 (define @t100 () (or @t99 @t98)) % 28.04/28.40 (define @t101 () (@list @t48)) % 28.04/28.40 (define @t102 () (forall @t101 @t100)) % 28.04/28.40 (define @t103 () (@list tptp.sk_c4)) % 28.04/28.40 (define @t104 () (not (= @t52 @t52))) % 28.04/28.40 (define @t105 () (or @t99 @t104 @t98)) % 28.04/28.40 (define @t106 () (not (= @t51 @t52))) % 28.04/28.40 (define @t107 () (not (= tptp.sk_c6 @t54))) % 28.04/28.40 (define @t108 () (or @t106 @t107 @t106 @t98)) % 28.04/28.40 (define @t109 () (@list @t51)) % 28.04/28.40 (define @t110 () (or @t107 @t106 @t98)) % 28.04/28.40 (define @t111 () (forall @t109 @t110)) % 28.04/28.40 (define @t112 () (forall @t101 @t111)) % 28.04/28.40 (define @t113 () (forall (@list @t48 @t51) @t110)) % 28.04/28.40 (define @t114 () (forall (@list @t51 @t48) @t110)) % 28.04/28.40 (define @t115 () (not (= tptp.sk_c6 @t57))) % 28.04/28.40 (define @t116 () (not (= tptp.sk_c7 @t59))) % 28.04/28.40 (define @t117 () (or @t116 @t115)) % 28.04/28.40 (define @t118 () (forall (@list @t56) @t117)) % 28.04/28.40 (define @t119 () (not (= tptp.sk_c8 @t62))) % 28.04/28.40 (define @t120 () (not (= tptp.sk_c7 @t64))) % 28.04/28.40 (define @t121 () (or @t120 @t119)) % 28.04/28.40 (define @t122 () (forall (@list @t61) @t121)) % 28.04/28.40 (define @t123 () (= tptp.sk_c8 @t11)) % 28.04/28.40 (define @t124 () (not @t123)) % 28.04/28.40 (define @t125 () (or @t124 @t91 @t122 @t118 @t114)) % 28.04/28.40 (define @t126 () (or @t124 @t90 @t121 @t117 @t110)) % 28.04/28.40 (define @t127 () (or @t124 @t89 @t88 @t120 @t119 @t116 @t115 @t107 @t106 @t98)) % 28.04/28.40 (define @t128 () (not @t81)) % 28.04/28.40 (define @t129 () (not @t80)) % 28.04/28.40 (define @t130 () (or @t129 @t128)) % 28.04/28.40 (define @t131 () (not @t77)) % 28.04/28.40 (define @t132 () (= tptp.sk_c7 @t30)) % 28.04/28.40 (define @t133 () (not @t132)) % 28.04/28.40 (define @t134 () (or @t133 @t131)) % 28.04/28.40 (define @t135 () (@list tptp.sk_c1)) % 28.04/28.40 (define @t136 () (tptp.multiply tptp.sk_c8 @t30)) % 28.04/28.40 (define @t137 () (tptp.multiply tptp.sk_c8 tptp.sk_c1)) % 28.04/28.40 (define @t138 () (tptp.multiply @t137 tptp.sk_c8)) % 28.04/28.40 (define @t139 () (= @t138 @t136)) % 28.04/28.40 (define @t140 () (tptp.multiply tptp.identity tptp.sk_c7)) % 28.04/28.40 (define @t141 () (= tptp.sk_c7 @t140)) % 28.04/28.40 (define @t142 () (tptp.multiply @t76 tptp.sk_c7)) % 28.04/28.40 (define @t143 () (= tptp.identity @t142)) % 28.04/28.40 (define @t144 () (tptp.multiply @t39 tptp.sk_c1)) % 28.04/28.40 (define @t145 () (= tptp.identity @t144)) % 28.04/28.40 (define @t146 () (tptp.multiply tptp.identity tptp.sk_c8)) % 28.04/28.40 (define @t147 () (= tptp.sk_c8 @t146)) % 28.04/28.40 (define @t148 () (tptp.multiply tptp.identity tptp.sk_c6)) % 28.04/28.40 (define @t149 () (= tptp.sk_c6 @t148)) % 28.04/28.40 (define @t150 () (tptp.multiply tptp.sk_c7 tptp.sk_c7)) % 28.04/28.40 (define @t151 () (tptp.multiply @t76 @t150)) % 28.04/28.40 (define @t152 () (tptp.multiply @t142 tptp.sk_c7)) % 28.04/28.40 (define @t153 () (= @t152 @t151)) % 28.04/28.40 (define @t154 () (tptp.multiply tptp.sk_c8 tptp.sk_c7)) % 28.04/28.40 (define @t155 () (tptp.multiply tptp.sk_c1 @t154)) % 28.04/28.40 (define @t156 () (tptp.multiply @t30 tptp.sk_c7)) % 28.04/28.40 (define @t157 () (= @t156 @t155)) % 28.04/28.40 (define @t158 () (tptp.multiply @t30 tptp.sk_c6)) % 28.04/28.40 (define @t159 () (tptp.multiply @t137 tptp.sk_c6)) % 28.04/28.40 (define @t160 () (= tptp.sk_c6 @t39)) % 28.04/28.40 (define @t161 () (and @t123 @t132 @t77 @t139 @t141 @t143 @t145 @t147 @t149 @t153 @t157)) % 28.04/28.40 (define @t162 () (not @t157)) % 28.04/28.40 (define @t163 () (not @t153)) % 28.04/28.40 (define @t164 () (not @t149)) % 28.04/28.40 (define @t165 () (not @t147)) % 28.04/28.40 (define @t166 () (not @t145)) % 28.04/28.40 (define @t167 () (not @t143)) % 28.04/28.40 (define @t168 () (not @t141)) % 28.04/28.40 (define @t169 () (not @t139)) % 28.04/28.40 (define @t170 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) % 28.04/28.40 (define @t171 () (not @t160)) % 28.04/28.40 (define @t172 () (not @t170)) % 28.04/28.40 (define @t173 () (or @t172 @t171)) % 28.04/28.40 (define @t174 () (= tptp.sk_c6 @t136)) % 28.04/28.40 (define @t175 () (not @t174)) % 28.04/28.40 (define @t176 () (or @t175 @t131)) % 28.04/28.40 (define @t177 () (and @t175 @t174)) % 28.04/28.40 (define @t178 () (@list true)) % 28.04/28.40 (define @t179 () (@list @t123)) % 28.04/28.40 (define @t180 () (tptp.multiply @t9 tptp.sk_c7)) % 28.04/28.40 (define @t181 () (= @t180 (tptp.multiply tptp.sk_c2 @t154))) % 28.04/28.40 (define @t182 () (tptp.multiply @t14 tptp.sk_c2)) % 28.04/28.40 (define @t183 () (= tptp.identity @t182)) % 28.04/28.40 (define @t184 () (tptp.multiply @t27 tptp.sk_c4)) % 28.04/28.40 (define @t185 () (= tptp.identity @t184)) % 28.04/28.40 (define @t186 () (tptp.multiply @t27 @t24)) % 28.04/28.40 (define @t187 () (= (tptp.multiply @t184 tptp.sk_c8) @t186)) % 28.04/28.40 (define @t188 () (tptp.multiply @t14 @t9)) % 28.04/28.40 (define @t189 () (tptp.multiply @t182 tptp.sk_c8)) % 28.04/28.40 (define @t190 () (= @t189 @t188)) % 28.04/28.40 (define @t191 () (and @t78 @t79 @t82 @t83 @t84 @t141 @t143 @t147 @t149 @t153 @t181 @t183 @t185 @t187 @t190)) % 28.04/28.40 (assume @p1 @t4) % 28.04/28.40 (assume @p2 @t6) % 28.04/28.40 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 28.04/28.40 (assume @p4 @t13) % 28.04/28.40 (assume @p5 @t16) % 28.04/28.40 (assume @p6 (or @t12 @t18)) % 28.04/28.40 (assume @p7 (or @t12 @t20)) % 28.04/28.40 (assume @p8 @t23) % 28.04/28.40 (assume @p9 @t26) % 28.04/28.40 (assume @p10 @t29) % 28.04/28.40 (assume @p11 @t32) % 28.04/28.40 (assume @p12 @t33) % 28.04/28.40 (assume @p13 @t34) % 28.04/28.40 (assume @p14 @t35) % 28.04/28.40 (assume @p15 @t36) % 28.04/28.40 (assume @p16 @t37) % 28.04/28.40 (assume @p17 @t38) % 28.04/28.40 (assume @p18 @t41) % 28.04/28.40 (assume @p19 @t42) % 28.04/28.40 (assume @p20 @t43) % 28.04/28.40 (assume @p21 @t44) % 28.04/28.40 (assume @p22 @t45) % 28.04/28.40 (assume @p23 @t46) % 28.04/28.40 (assume @p24 @t47) % 28.04/28.40 (assume @p25 @t74) % 28.04/28.40 (step @p26 :rule eq-symm :args (@t2 @t1)) % 28.04/28.40 (step @p27 :rule cong :premises (@p26) :args (@t4)) % 28.04/28.40 (step @p28 :rule eq_resolve :premises (@p1 @p27)) % 28.04/28.40 (step @p29 :rule instantiate :premises (@p28) :args (@t75)) % 28.04/28.40 (step @p30 :rule eq-symm :args (@t5 tptp.identity)) % 28.04/28.40 (step @p31 :rule cong :premises (@p30) :args (@t6)) % 28.04/28.40 (step @p32 :rule eq_resolve :premises (@p2 @p31)) % 28.04/28.40 (step @p33 :rule instantiate :premises (@p32) :args (@t75)) % 28.04/28.40 (step @p34 :rule instantiate :premises (@p28) :args ((@list tptp.sk_c8))) % 28.04/28.40 (step @p35 :rule instantiate :premises (@p28) :args ((@list tptp.sk_c6))) % 28.04/28.40 (step @p36 :rule instantiate :premises (@p3) :args ((@list @t76 tptp.sk_c7 tptp.sk_c7))) % 28.04/28.40 (step @p37 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c2 tptp.sk_c8 tptp.sk_c7))) % 28.04/28.40 (step @p38 :rule eq-symm :args (@t9 tptp.sk_c7)) % 28.04/28.40 (step @p39 :rule eq-symm :args (@t39 tptp.sk_c8)) % 28.04/28.40 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t41)) % 28.04/28.40 (step @p41 :rule eq_resolve :premises (@p18 @p40)) % 28.04/28.40 (step @p42 :rule reordering :premises (@p41) :args ((or @t78 @t77))) % 28.04/28.40 (step @p43 :rule eq-symm :args (@t14 tptp.sk_c8)) % 28.04/28.40 (step @p44 :rule nary_cong :premises (@p39 @p43) :args (@t42)) % 28.04/28.40 (step @p45 :rule eq_resolve :premises (@p19 @p44)) % 28.04/28.40 (step @p46 :rule reordering :premises (@p45) :args ((or @t79 @t77))) % 28.04/28.40 (step @p47 :rule eq-symm :args (@t17 tptp.sk_c7)) % 28.04/28.40 (step @p48 :rule nary_cong :premises (@p39 @p47) :args (@t43)) % 28.04/28.40 (step @p49 :rule eq_resolve :premises (@p20 @p48)) % 28.04/28.40 (step @p50 :rule reordering :premises (@p49) :args ((or @t80 @t77))) % 28.04/28.40 (step @p51 :rule eq-symm :args (@t19 tptp.sk_c6)) % 28.04/28.40 (step @p52 :rule nary_cong :premises (@p39 @p51) :args (@t44)) % 28.04/28.40 (step @p53 :rule eq_resolve :premises (@p21 @p52)) % 28.04/28.40 (step @p54 :rule reordering :premises (@p53) :args ((or @t81 @t77))) % 28.04/28.40 (step @p55 :rule eq-symm :args (@t21 tptp.sk_c6)) % 28.04/28.40 (step @p56 :rule nary_cong :premises (@p39 @p55) :args (@t45)) % 28.04/28.40 (step @p57 :rule eq_resolve :premises (@p22 @p56)) % 28.04/28.40 (step @p58 :rule reordering :premises (@p57) :args ((or @t82 @t77))) % 28.04/28.40 (step @p59 :rule eq-symm :args (@t24 tptp.sk_c5)) % 28.04/28.40 (step @p60 :rule nary_cong :premises (@p39 @p59) :args (@t46)) % 28.04/28.40 (step @p61 :rule eq_resolve :premises (@p23 @p60)) % 28.04/28.40 (step @p62 :rule reordering :premises (@p61) :args ((or @t83 @t77))) % 28.04/28.40 (step @p63 :rule eq-symm :args (@t27 tptp.sk_c8)) % 28.04/28.40 (step @p64 :rule nary_cong :premises (@p39 @p63) :args (@t47)) % 28.04/28.40 (step @p65 :rule eq_resolve :premises (@p24 @p64)) % 28.04/28.40 (step @p66 :rule reordering :premises (@p65) :args ((or @t84 @t77))) % 28.04/28.40 (step @p67 :rule cnf_or_pos :args (@t87)) % 28.04/28.40 (step @p68 :rule reordering :premises (@p67) :args ((or @t86 @t85 (not @t87)))) % 28.04/28.40 (assume-push @p575 @t91) % 28.04/28.40 (step @p70 :rule instantiate :premises (@p575) :args (@t92)) % 28.04/28.40 (step-pop @p576 :rule scope :premises (@p70)) % 28.04/28.40 (step @p71 :rule process_scope :premises (@p576) :args (@t87)) % 28.04/28.40 (step @p73 :rule implies_elim :premises (@p71)) % 28.04/28.40 (step @p74 :rule alpha_equiv :args (@t91 (@list @t66) (@list @t61))) % 28.04/28.40 (step @p75 :rule equiv_elim2 :premises (@p74)) % 28.04/28.40 (assume-push @p577 @t82) % 28.04/28.40 (assume-push @p578 @t83) % 28.04/28.40 (assume-push @p579 @t83) % 28.04/28.40 (assume-push @p580 @t82) % 28.04/28.40 (step @p80 :rule refl :args (tptp.sk_c8)) % 28.04/28.40 (step @p81 :rule cong :premises (@p80 @p578) :args (@t21)) % 28.04/28.40 (step @p82 :rule trans :premises (@p577 @p81)) % 28.04/28.40 (step-pop @p581 :rule scope :premises (@p82)) % 28.04/28.40 (step-pop @p582 :rule scope :premises (@p581)) % 28.04/28.40 (step @p83 :rule process_scope :premises (@p582) :args (@t93)) % 28.04/28.40 (step @p86 :rule and_intro :premises (@p578 @p577)) % 28.04/28.40 (step @p87 :rule modus_ponens :premises (@p86 @p83)) % 28.04/28.40 (step-pop @p583 :rule scope :premises (@p87)) % 28.04/28.40 (step-pop @p584 :rule scope :premises (@p583)) % 28.04/28.40 (step @p88 :rule process_scope :premises (@p584) :args (@t93)) % 28.04/28.40 (step @p91 :rule implies_elim :premises (@p88)) % 28.04/28.40 (step @p92 :rule cnf_and_neg :args (@t94)) % 28.04/28.40 (step @p93 :rule resolution :premises (@p92 @p91) :args (true @t94)) % 28.04/28.40 (step @p94 :rule cnf_or_pos :args (@t97)) % 28.04/28.40 (step @p95 :rule reordering :premises (@p94) :args ((or @t95 @t96 (not @t97)))) % 28.04/28.40 (assume-push @p585 @t102) % 28.04/28.40 (step @p97 :rule instantiate :premises (@p585) :args (@t103)) % 28.04/28.40 (step-pop @p586 :rule scope :premises (@p97)) % 28.04/28.40 (step @p98 :rule process_scope :premises (@p586) :args (@t97)) % 28.04/28.40 (step @p100 :rule implies_elim :premises (@p98)) % 28.04/28.40 (step @p101 :rule aci_norm :args ((= (or @t99 false @t98) @t100))) % 28.04/28.40 (step @p102 :rule refl :args (@t98)) % 28.04/28.40 (step @p103 :rule evaluate :args ((not true))) % 28.04/28.40 (step @p104 :rule eq-refl :args (@t52)) % 28.04/28.40 (step @p105 :rule cong :premises (@p104) :args (@t104)) % 28.04/28.40 (step @p106 :rule trans :premises (@p105 @p103)) % 28.04/28.40 (step @p107 :rule refl :args (@t99)) % 28.04/28.40 (step @p108 :rule nary_cong :premises (@p107 @p106 @p102) :args (@t105)) % 28.04/28.40 (step @p109 :rule trans :premises (@p108 @p101)) % 28.04/28.40 (step @p110 :rule cong :premises (@p109) :args ((forall @t101 @t105))) % 28.04/28.40 (step @p111 :rule quant-var-elim-eq :args ((= (forall @t109 @t108) @t105))) % 28.04/28.40 (step @p112 :rule aci_norm :args ((= @t110 @t108))) % 28.04/28.40 (step @p113 :rule cong :premises (@p112) :args (@t111)) % 28.04/28.40 (step @p114 :rule trans :premises (@p113 @p111)) % 28.04/28.40 (step @p115 :rule cong :premises (@p114) :args (@t112)) % 28.04/28.40 (step @p116 :rule quant-merge-prenex :args ((= @t112 @t113))) % 28.04/28.40 (step @p117 :rule symm :premises (@p116)) % 28.04/28.40 (step @p118 :rule quant_var_reordering :args ((= @t114 @t113))) % 28.04/28.40 (step @p119 :rule trans :premises (@p118 @p117 @p115)) % 28.04/28.40 (step @p120 :rule trans :premises (@p119 @p110)) % 28.04/28.40 (step @p121 :rule refl :args (@t118)) % 28.04/28.40 (step @p122 :rule refl :args (@t122)) % 28.04/28.40 (step @p123 :rule refl :args (@t91)) % 28.04/28.40 (step @p124 :rule refl :args (@t124)) % 28.04/28.40 (step @p125 :rule nary_cong :premises (@p124 @p123 @p122 @p121 @p120) :args (@t125)) % 28.04/28.40 (step @p126 :rule quant-miniscope-or :args ((= (forall @t73 @t126) @t125))) % 28.04/28.40 (step @p127 :rule aci_norm :args ((= @t127 @t126))) % 28.04/28.40 (step @p128 :rule cong :premises (@p127) :args ((forall @t73 @t127))) % 28.04/28.40 (step @p129 :rule trans :premises (@p128 @p126)) % 28.04/28.40 (step @p130 :rule trans :premises (@p129 @p125)) % 28.04/28.40 (step @p131 :rule eq-symm :args (@t49 tptp.sk_c8)) % 28.04/28.40 (step @p132 :rule cong :premises (@p131) :args (@t50)) % 28.04/28.40 (step @p133 :rule eq-symm :args (@t52 @t51)) % 28.04/28.40 (step @p134 :rule cong :premises (@p133) :args (@t53)) % 28.04/28.40 (step @p135 :rule eq-symm :args (@t54 tptp.sk_c6)) % 28.04/28.40 (step @p136 :rule cong :premises (@p135) :args (@t55)) % 28.04/28.40 (step @p137 :rule eq-symm :args (@t57 tptp.sk_c6)) % 28.04/28.40 (step @p138 :rule cong :premises (@p137) :args (@t58)) % 28.04/28.40 (step @p139 :rule eq-symm :args (@t59 tptp.sk_c7)) % 28.04/28.40 (step @p140 :rule cong :premises (@p139) :args (@t60)) % 28.04/28.40 (step @p141 :rule eq-symm :args (@t62 tptp.sk_c8)) % 28.04/28.40 (step @p142 :rule cong :premises (@p141) :args (@t63)) % 28.04/28.40 (step @p143 :rule eq-symm :args (@t64 tptp.sk_c7)) % 28.04/28.40 (step @p144 :rule cong :premises (@p143) :args (@t65)) % 28.04/28.40 (step @p145 :rule eq-symm :args (@t67 tptp.sk_c8)) % 28.04/28.40 (step @p146 :rule cong :premises (@p145) :args (@t68)) % 28.04/28.40 (step @p147 :rule eq-symm :args (@t69 tptp.sk_c7)) % 28.04/28.40 (step @p148 :rule cong :premises (@p147) :args (@t70)) % 28.04/28.40 (step @p149 :rule eq-symm :args (@t11 tptp.sk_c8)) % 28.04/28.40 (step @p150 :rule cong :premises (@p149) :args (@t71)) % 28.04/28.40 (step @p151 :rule nary_cong :premises (@p150 @p148 @p146 @p144 @p142 @p140 @p138 @p136 @p134 @p132) :args (@t72)) % 28.04/28.40 (step @p152 :rule cong :premises (@p151) :args (@t74)) % 28.04/28.40 (step @p153 :rule trans :premises (@p152 @p130)) % 28.04/28.40 (step @p154 :rule eq_resolve :premises (@p25 @p153)) % 28.04/28.40 (step @p155 :rule cnf_or_pos :args (@t130)) % 28.04/28.40 (step @p156 :rule reordering :premises (@p155) :args ((or @t129 @t128 (not @t130)))) % 28.04/28.40 (assume-push @p587 @t118) % 28.04/28.40 (step @p158 :rule instantiate :premises (@p587) :args ((@list tptp.sk_c3))) % 28.04/28.40 (step-pop @p588 :rule scope :premises (@p158)) % 28.04/28.40 (step @p159 :rule process_scope :premises (@p588) :args (@t130)) % 28.04/28.40 (step @p161 :rule implies_elim :premises (@p159)) % 28.04/28.40 (step @p162 :rule chain_m_resolution :premises (@p161 @p156 @p154 @p100 @p95 @p93 @p75 @p73 @p68 @p66 @p62 @p58 @p54 @p50 @p46 @p42) :args ((or @t77 @t124) (@list true false true true false true true true false false false false false false false) (@list @t130 @t118 @t102 @t97 @t93 @t122 @t91 @t87 @t84 @t83 @t82 @t81 @t80 @t79 @t78))) % 28.04/28.40 (step @p163 :rule cnf_or_pos :args (@t134)) % 28.04/28.40 (step @p164 :rule reordering :premises (@p163) :args ((or @t133 @t131 (not @t134)))) % 28.04/28.40 (assume-push @p589 @t91) % 28.04/28.40 (step @p166 :rule instantiate :premises (@p589) :args (@t135)) % 28.04/28.40 (step-pop @p590 :rule scope :premises (@p166)) % 28.04/28.40 (step @p167 :rule process_scope :premises (@p590) :args (@t134)) % 28.04/28.40 (step @p169 :rule implies_elim :premises (@p167)) % 28.04/28.40 (step @p170 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 tptp.sk_c1 tptp.sk_c8))) % 28.04/28.40 (step @p171 :rule instantiate :premises (@p32) :args (@t135)) % 28.04/28.40 (step @p172 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c1 tptp.sk_c8 tptp.sk_c7))) % 28.04/28.40 (assume-push @p591 @t123) % 28.04/28.40 (assume-push @p592 @t132) % 28.04/28.40 (assume-push @p593 @t77) % 28.04/28.40 (assume-push @p594 @t139) % 28.04/28.40 (assume-push @p595 @t141) % 28.04/28.40 (assume-push @p596 @t143) % 28.04/28.40 (assume-push @p597 @t145) % 28.04/28.40 (assume-push @p598 @t147) % 28.04/28.40 (assume-push @p599 @t149) % 28.04/28.40 (assume-push @p600 @t153) % 28.04/28.40 (assume-push @p601 @t157) % 28.04/28.40 (assume-push @p602 @t77) % 28.04/28.40 (assume-push @p603 @t123) % 28.04/28.40 (assume-push @p604 @t132) % 28.04/28.40 (assume-push @p605 @t141) % 28.04/28.40 (assume-push @p606 @t143) % 28.04/28.40 (assume-push @p607 @t153) % 28.04/28.40 (assume-push @p608 @t157) % 28.04/28.40 (assume-push @p609 @t139) % 28.04/28.40 (assume-push @p610 @t145) % 28.04/28.40 (assume-push @p611 @t147) % 28.04/28.40 (assume-push @p612 @t149) % 28.04/28.40 (step @p195 :rule symm :premises (@p591)) % 28.04/28.40 (step @p196 :rule refl :args (tptp.sk_c6)) % 28.04/28.40 (step @p197 :rule symm :premises (@p592)) % 28.04/28.40 (step @p198 :rule cong :premises (@p197 @p196) :args (@t158)) % 28.04/28.40 (step @p199 :rule symm :premises (@p29)) % 28.04/28.40 (step @p200 :rule refl :args (tptp.sk_c7)) % 28.04/28.40 (step @p201 :rule symm :premises (@p33)) % 28.04/28.40 (step @p202 :rule cong :premises (@p201 @p200) :args (@t152)) % 28.04/28.40 (step @p203 :rule symm :premises (@p36)) % 28.04/28.40 (step @p204 :rule cong :premises (@p197 @p200) :args (@t156)) % 28.04/28.40 (step @p205 :rule symm :premises (@p172)) % 28.04/28.40 (step @p80 :rule refl :args (tptp.sk_c8)) % 28.04/28.40 (step @p206 :rule cong :premises (@p80 @p197) :args (@t136)) % 28.04/28.40 (step @p207 :rule refl :args (tptp.sk_c1)) % 28.04/28.40 (step @p208 :rule symm :premises (@p593)) % 28.04/28.40 (step @p209 :rule cong :premises (@p208 @p207) :args (@t144)) % 28.04/28.40 (step @p210 :rule trans :premises (@p171 @p209)) % 28.04/28.40 (step @p211 :rule cong :premises (@p210 @p80) :args (@t146)) % 28.04/28.40 (step @p212 :rule trans :premises (@p34 @p211 @p170 @p206)) % 28.04/28.40 (step @p213 :rule cong :premises (@p207 @p212) :args (@t30)) % 28.04/28.40 (step @p214 :rule trans :premises (@p592 @p213 @p205 @p204)) % 28.04/28.40 (step @p215 :rule refl :args (@t76)) % 28.04/28.40 (step @p216 :rule cong :premises (@p215 @p214) :args (@t142)) % 28.04/28.40 (step @p217 :rule trans :premises (@p33 @p216 @p203 @p202 @p199)) % 28.04/28.40 (step @p218 :rule symm :premises (@p210)) % 28.04/28.40 (step @p219 :rule trans :premises (@p218 @p217 @p592)) % 28.04/28.40 (step @p220 :rule cong :premises (@p219 @p196) :args (@t159)) % 28.04/28.40 (step @p221 :rule cong :premises (@p210 @p196) :args (@t148)) % 28.04/28.40 (step @p222 :rule trans :premises (@p35 @p221 @p220 @p198 @p195 @p593)) % 28.04/28.40 (step-pop @p613 :rule scope :premises (@p222)) % 28.04/28.40 (step-pop @p614 :rule scope :premises (@p613)) % 28.04/28.40 (step-pop @p615 :rule scope :premises (@p614)) % 28.04/28.40 (step-pop @p616 :rule scope :premises (@p615)) % 28.04/28.40 (step-pop @p617 :rule scope :premises (@p616)) % 28.04/28.40 (step-pop @p618 :rule scope :premises (@p617)) % 28.04/28.40 (step-pop @p619 :rule scope :premises (@p618)) % 28.04/28.40 (step-pop @p620 :rule scope :premises (@p619)) % 28.04/28.40 (step-pop @p621 :rule scope :premises (@p620)) % 28.04/28.40 (step-pop @p622 :rule scope :premises (@p621)) % 28.04/28.40 (step-pop @p623 :rule scope :premises (@p622)) % 28.04/28.40 (step @p223 :rule process_scope :premises (@p623) :args (@t160)) % 28.04/28.40 (step @p235 :rule and_intro :premises (@p593 @p591 @p592 @p29 @p33 @p36 @p172 @p170 @p171 @p34 @p35)) % 28.04/28.40 (step @p236 :rule modus_ponens :premises (@p235 @p223)) % 28.04/28.40 (step-pop @p624 :rule scope :premises (@p236)) % 28.04/28.40 (step-pop @p625 :rule scope :premises (@p624)) % 28.04/28.40 (step-pop @p626 :rule scope :premises (@p625)) % 28.04/28.40 (step-pop @p627 :rule scope :premises (@p626)) % 28.04/28.40 (step-pop @p628 :rule scope :premises (@p627)) % 28.04/28.40 (step-pop @p629 :rule scope :premises (@p628)) % 28.04/28.40 (step-pop @p630 :rule scope :premises (@p629)) % 28.04/28.40 (step-pop @p631 :rule scope :premises (@p630)) % 28.04/28.40 (step-pop @p632 :rule scope :premises (@p631)) % 28.04/28.40 (step-pop @p633 :rule scope :premises (@p632)) % 28.04/28.40 (step-pop @p634 :rule scope :premises (@p633)) % 28.04/28.40 (step @p237 :rule process_scope :premises (@p634) :args (@t160)) % 28.04/28.40 (step @p249 :rule implies_elim :premises (@p237)) % 28.04/28.40 (step @p250 :rule cnf_and_neg :args (@t161)) % 28.04/28.40 (step @p251 :rule resolution :premises (@p250 @p249) :args (true @t161)) % 28.04/28.40 (step @p252 :rule reordering :premises (@p251) :args ((or @t124 @t133 @t131 @t160 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162))) % 28.04/28.40 (assume-push @p635 @t123) % 28.04/28.40 (assume-push @p636 @t132) % 28.04/28.40 (assume-push @p637 @t77) % 28.04/28.40 (assume-push @p638 @t139) % 28.04/28.40 (assume-push @p639 @t141) % 28.04/28.40 (assume-push @p640 @t143) % 28.04/28.40 (assume-push @p641 @t145) % 28.04/28.40 (assume-push @p642 @t147) % 28.04/28.40 (assume-push @p643 @t149) % 28.04/28.40 (assume-push @p644 @t153) % 28.04/28.40 (assume-push @p645 @t157) % 28.04/28.40 (assume-push @p646 @t149) % 28.04/28.40 (assume-push @p647 @t145) % 28.04/28.40 (assume-push @p648 @t77) % 28.04/28.40 (assume-push @p649 @t143) % 28.04/28.40 (assume-push @p650 @t132) % 28.04/28.40 (assume-push @p651 @t147) % 28.04/28.40 (assume-push @p652 @t139) % 28.04/28.40 (assume-push @p653 @t157) % 28.04/28.40 (assume-push @p654 @t153) % 28.04/28.40 (assume-push @p655 @t141) % 28.04/28.40 (assume-push @p656 @t123) % 28.04/28.40 (step @p275 :rule symm :premises (@p35)) % 28.04/28.40 (step @p196 :rule refl :args (tptp.sk_c6)) % 28.04/28.40 (step @p276 :rule symm :premises (@p171)) % 28.04/28.40 (step @p207 :rule refl :args (tptp.sk_c1)) % 28.04/28.40 (step @p277 :rule cong :premises (@p637 @p207) :args (@t137)) % 28.04/28.40 (step @p278 :rule trans :premises (@p277 @p276)) % 28.04/28.40 (step @p279 :rule cong :premises (@p278 @p196) :args (@t159)) % 28.04/28.40 (step @p280 :rule symm :premises (@p278)) % 28.04/28.40 (step @p201 :rule symm :premises (@p33)) % 28.04/28.40 (step @p281 :rule symm :premises (@p636)) % 28.04/28.40 (step @p282 :rule symm :premises (@p34)) % 28.04/28.40 (step @p80 :rule refl :args (tptp.sk_c8)) % 28.04/28.40 (step @p283 :rule cong :premises (@p278 @p80) :args (@t138)) % 28.04/28.40 (step @p284 :rule symm :premises (@p170)) % 28.04/28.40 (step @p285 :rule cong :premises (@p80 @p636) :args (@t154)) % 28.04/28.40 (step @p286 :rule trans :premises (@p285 @p284 @p283 @p282)) % 28.04/28.40 (step @p287 :rule cong :premises (@p207 @p286) :args (@t155)) % 28.04/28.40 (step @p200 :rule refl :args (tptp.sk_c7)) % 28.04/28.40 (step @p288 :rule cong :premises (@p636 @p200) :args (@t150)) % 28.04/28.40 (step @p289 :rule trans :premises (@p288 @p172 @p287 @p281)) % 28.04/28.40 (step @p215 :rule refl :args (@t76)) % 28.04/28.40 (step @p290 :rule cong :premises (@p215 @p289) :args (@t151)) % 28.04/28.40 (step @p291 :rule cong :premises (@p33 @p200) :args (@t140)) % 28.04/28.40 (step @p292 :rule trans :premises (@p29 @p291 @p36 @p290 @p201)) % 28.04/28.40 (step @p293 :rule trans :premises (@p281 @p292 @p280)) % 28.04/28.40 (step @p294 :rule cong :premises (@p293 @p196) :args (@t158)) % 28.04/28.40 (step @p295 :rule cong :premises (@p636 @p196) :args (@t11)) % 28.04/28.40 (step @p296 :rule trans :premises (@p635 @p295 @p294 @p279 @p275)) % 28.04/28.40 (step @p297 :rule cong :premises (@p207 @p296) :args (@t30)) % 28.04/28.40 (step @p298 :rule trans :premises (@p636 @p297)) % 28.04/28.40 (step-pop @p657 :rule scope :premises (@p298)) % 28.04/28.40 (step-pop @p658 :rule scope :premises (@p657)) % 28.04/28.40 (step-pop @p659 :rule scope :premises (@p658)) % 28.04/28.40 (step-pop @p660 :rule scope :premises (@p659)) % 28.04/28.40 (step-pop @p661 :rule scope :premises (@p660)) % 28.04/28.40 (step-pop @p662 :rule scope :premises (@p661)) % 28.04/28.40 (step-pop @p663 :rule scope :premises (@p662)) % 28.04/28.40 (step-pop @p664 :rule scope :premises (@p663)) % 28.04/28.40 (step-pop @p665 :rule scope :premises (@p664)) % 28.04/28.40 (step-pop @p666 :rule scope :premises (@p665)) % 28.04/28.40 (step-pop @p667 :rule scope :premises (@p666)) % 28.04/28.40 (step @p299 :rule process_scope :premises (@p667) :args (@t170)) % 28.04/28.40 (step @p311 :rule and_intro :premises (@p35 @p171 @p637 @p33 @p636 @p34 @p170 @p172 @p36 @p29 @p635)) % 28.04/28.40 (step @p312 :rule modus_ponens :premises (@p311 @p299)) % 28.04/28.40 (step-pop @p668 :rule scope :premises (@p312)) % 28.04/28.40 (step-pop @p669 :rule scope :premises (@p668)) % 28.04/28.40 (step-pop @p670 :rule scope :premises (@p669)) % 28.04/28.40 (step-pop @p671 :rule scope :premises (@p670)) % 28.04/28.40 (step-pop @p672 :rule scope :premises (@p671)) % 28.04/28.40 (step-pop @p673 :rule scope :premises (@p672)) % 28.04/28.40 (step-pop @p674 :rule scope :premises (@p673)) % 28.04/28.40 (step-pop @p675 :rule scope :premises (@p674)) % 28.04/28.40 (step-pop @p676 :rule scope :premises (@p675)) % 28.04/28.40 (step-pop @p677 :rule scope :premises (@p676)) % 28.04/28.40 (step-pop @p678 :rule scope :premises (@p677)) % 28.04/28.40 (step @p313 :rule process_scope :premises (@p678) :args (@t170)) % 28.04/28.40 (step @p325 :rule implies_elim :premises (@p313)) % 28.04/28.40 (step @p326 :rule resolution :premises (@p250 @p325) :args (true @t161)) % 28.04/28.40 (step @p327 :rule reordering :premises (@p326) :args ((or @t124 @t133 @t131 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162))) % 28.04/28.40 (step @p328 :rule cnf_or_pos :args (@t173)) % 28.04/28.40 (step @p329 :rule reordering :premises (@p328) :args ((or @t172 @t171 (not @t173)))) % 28.04/28.40 (assume-push @p679 @t118) % 28.04/28.40 (step @p331 :rule instantiate :premises (@p679) :args (@t135)) % 28.04/28.40 (step-pop @p680 :rule scope :premises (@p331)) % 28.04/28.40 (step @p332 :rule process_scope :premises (@p680) :args (@t173)) % 28.04/28.40 (step @p334 :rule implies_elim :premises (@p332)) % 28.04/28.40 (assume-push @p681 @t102) % 28.04/28.40 (step @p336 :rule instantiate :premises (@p681) :args (@t135)) % 28.04/28.40 (step-pop @p682 :rule scope :premises (@p336)) % 28.04/28.40 (step @p337 :rule process_scope :premises (@p682) :args (@t176)) % 28.04/28.40 (step @p339 :rule implies_elim :premises (@p337)) % 28.04/28.40 (step @p340 :rule cnf_or_pos :args (@t176)) % 28.04/28.40 (step @p341 :rule reordering :premises (@p340) :args ((or @t131 @t175 (not @t176)))) % 28.04/28.40 (step @p342 :rule bool-double-not-elim :args (@t174)) % 28.04/28.40 (step @p343 :rule refl :args (@t162)) % 28.04/28.40 (step @p344 :rule refl :args (@t163)) % 28.04/28.40 (step @p345 :rule refl :args (@t164)) % 28.04/28.40 (step @p346 :rule refl :args (@t165)) % 28.04/28.40 (step @p347 :rule refl :args (@t166)) % 28.04/28.40 (step @p348 :rule refl :args (@t167)) % 28.04/28.40 (step @p349 :rule refl :args (@t168)) % 28.04/28.40 (step @p350 :rule refl :args (@t169)) % 28.04/28.40 (step @p351 :rule refl :args (@t131)) % 28.04/28.40 (step @p352 :rule refl :args (@t133)) % 28.04/28.40 (step @p353 :rule nary_cong :premises (@p124 @p352 @p351 @p350 @p349 @p348 @p347 @p346 @p345 @p344 @p343 @p342) :args ((or @t124 @t133 @t131 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 (not @t175)))) % 28.04/28.40 (assume-push @p683 @t175) % 28.04/28.40 (assume-push @p684 @t174) % 28.04/28.40 (step @p356 :rule evaluate :args ((= true false))) % 28.04/28.40 (step @p357 :rule false_intro :premises (@p683)) % 28.04/28.40 (step @p358 :rule true_intro :premises (@p684)) % 28.04/28.40 (step @p359 :rule symm :premises (@p358)) % 28.04/28.40 (step @p360 :rule trans :premises (@p359 @p357)) % 28.04/28.40 (step @p361 false :rule eq_resolve :premises (@p360 @p356)) % 28.04/28.40 (step-pop @p685 :rule scope :premises (@p361)) % 28.04/28.40 (step-pop @p686 :rule scope :premises (@p685)) % 28.04/28.40 (step @p362 :rule process_scope :premises (@p686) :args (false)) % 28.04/28.40 (assume-push @p687 @t123) % 28.04/28.40 (assume-push @p688 @t132) % 28.04/28.40 (assume-push @p689 @t77) % 28.04/28.40 (assume-push @p690 @t139) % 28.04/28.40 (assume-push @p691 @t141) % 28.04/28.40 (assume-push @p692 @t143) % 28.04/28.40 (assume-push @p693 @t145) % 28.04/28.40 (assume-push @p694 @t147) % 28.04/28.40 (assume-push @p695 @t149) % 28.04/28.40 (assume-push @p696 @t153) % 28.04/28.40 (assume-push @p697 @t157) % 28.04/28.40 (assume-push @p698 @t175) % 28.04/28.40 (assume-push @p699 @t139) % 28.04/28.40 (assume-push @p700 @t77) % 28.04/28.40 (assume-push @p701 @t145) % 28.04/28.40 (assume-push @p702 @t147) % 28.04/28.40 (assume-push @p703 @t123) % 28.04/28.40 (assume-push @p704 @t132) % 28.04/28.40 (assume-push @p705 @t141) % 28.04/28.40 (assume-push @p706 @t143) % 28.04/28.40 (assume-push @p707 @t153) % 28.04/28.40 (assume-push @p708 @t157) % 28.04/28.40 (assume-push @p709 @t149) % 28.04/28.40 (step @p80 :rule refl :args (tptp.sk_c8)) % 28.04/28.40 (step @p207 :rule refl :args (tptp.sk_c1)) % 28.04/28.40 (step @p388 :rule symm :premises (@p689)) % 28.04/28.40 (step @p389 :rule cong :premises (@p388 @p207) :args (@t144)) % 28.04/28.40 (step @p390 :rule trans :premises (@p171 @p389)) % 28.04/28.40 (step @p391 :rule cong :premises (@p390 @p80) :args (@t146)) % 28.04/28.40 (step @p392 :rule symm :premises (@p687)) % 28.04/28.40 (step @p196 :rule refl :args (tptp.sk_c6)) % 28.04/28.40 (step @p393 :rule symm :premises (@p688)) % 28.04/28.40 (step @p394 :rule cong :premises (@p393 @p196) :args (@t158)) % 28.04/28.40 (step @p199 :rule symm :premises (@p29)) % 28.04/28.40 (step @p200 :rule refl :args (tptp.sk_c7)) % 28.04/28.40 (step @p201 :rule symm :premises (@p33)) % 28.04/28.40 (step @p202 :rule cong :premises (@p201 @p200) :args (@t152)) % 28.04/28.40 (step @p203 :rule symm :premises (@p36)) % 28.04/28.40 (step @p395 :rule cong :premises (@p393 @p200) :args (@t156)) % 28.04/28.40 (step @p205 :rule symm :premises (@p172)) % 28.04/28.40 (step @p396 :rule cong :premises (@p80 @p393) :args (@t136)) % 28.04/28.40 (step @p397 :rule trans :premises (@p34 @p391 @p170 @p396)) % 28.04/28.40 (step @p398 :rule cong :premises (@p207 @p397) :args (@t30)) % 28.04/28.40 (step @p399 :rule trans :premises (@p688 @p398 @p205 @p395)) % 28.04/28.40 (step @p215 :rule refl :args (@t76)) % 28.04/28.40 (step @p400 :rule cong :premises (@p215 @p399) :args (@t142)) % 28.04/28.40 (step @p401 :rule trans :premises (@p33 @p400 @p203 @p202 @p199)) % 28.04/28.40 (step @p402 :rule symm :premises (@p390)) % 28.04/28.40 (step @p403 :rule trans :premises (@p402 @p401 @p688)) % 28.04/28.40 (step @p404 :rule cong :premises (@p403 @p196) :args (@t159)) % 28.04/28.40 (step @p405 :rule cong :premises (@p390 @p196) :args (@t148)) % 28.04/28.40 (step @p406 :rule trans :premises (@p35 @p405 @p404 @p394 @p392 @p34 @p391 @p170)) % 28.04/28.40 (step-pop @p710 :rule scope :premises (@p406)) % 28.04/28.40 (step-pop @p711 :rule scope :premises (@p710)) % 28.04/28.40 (step-pop @p712 :rule scope :premises (@p711)) % 28.04/28.40 (step-pop @p713 :rule scope :premises (@p712)) % 28.04/28.40 (step-pop @p714 :rule scope :premises (@p713)) % 28.04/28.40 (step-pop @p715 :rule scope :premises (@p714)) % 28.04/28.40 (step-pop @p716 :rule scope :premises (@p715)) % 28.04/28.40 (step-pop @p717 :rule scope :premises (@p716)) % 28.04/28.40 (step-pop @p718 :rule scope :premises (@p717)) % 28.04/28.40 (step-pop @p719 :rule scope :premises (@p718)) % 28.04/28.40 (step-pop @p720 :rule scope :premises (@p719)) % 28.04/28.40 (step @p407 :rule process_scope :premises (@p720) :args (@t174)) % 28.04/28.40 (step @p419 :rule and_intro :premises (@p170 @p689 @p171 @p34 @p687 @p688 @p29 @p33 @p36 @p172 @p35)) % 28.04/28.40 (step @p420 :rule modus_ponens :premises (@p419 @p407)) % 28.04/28.40 (step @p421 :rule and_intro :premises (@p698 @p420)) % 28.04/28.40 (step-pop @p721 :rule scope :premises (@p421)) % 28.04/28.40 (step-pop @p722 :rule scope :premises (@p721)) % 28.04/28.40 (step-pop @p723 :rule scope :premises (@p722)) % 28.04/28.40 (step-pop @p724 :rule scope :premises (@p723)) % 28.04/28.40 (step-pop @p725 :rule scope :premises (@p724)) % 28.04/28.40 (step-pop @p726 :rule scope :premises (@p725)) % 28.04/28.40 (step-pop @p727 :rule scope :premises (@p726)) % 28.04/28.40 (step-pop @p728 :rule scope :premises (@p727)) % 28.04/28.40 (step-pop @p729 :rule scope :premises (@p728)) % 28.04/28.40 (step-pop @p730 :rule scope :premises (@p729)) % 28.04/28.40 (step-pop @p731 :rule scope :premises (@p730)) % 28.04/28.40 (step-pop @p732 :rule scope :premises (@p731)) % 28.04/28.40 (step @p422 :rule process_scope :premises (@p732) :args (@t177)) % 28.04/28.40 (step @p435 :rule implies_elim :premises (@p422)) % 28.04/28.40 (step @p436 :rule resolution :premises (@p435 @p362) :args (true @t177)) % 28.04/28.40 (step @p437 :rule not_and :premises (@p436)) % 28.04/28.40 (step @p438 :rule eq_resolve :premises (@p437 @p353)) % 28.04/28.40 (step @p439 :rule chain_m_resolution :premises (@p438 @p172 @p36 @p35 @p34 @p171 @p33 @p29 @p170 @p341 @p339 @p154 @p334 @p329 @p327 @p172 @p36 @p35 @p34 @p171 @p33 @p29 @p170 @p252 @p172 @p36 @p35 @p34 @p171 @p33 @p29 @p170 @p75 @p169 @p164) :args ((or @t124 @t133 @t131) (@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 @t157 @t153 @t149 @t147 @t145 @t143 @t141 @t139 @t174 @t176 @t102 @t118 @t173 @t170 @t157 @t153 @t149 @t147 @t145 @t143 @t141 @t139 @t160 @t157 @t153 @t149 @t147 @t145 @t143 @t141 @t139 @t122 @t91 @t134))) % 28.04/28.40 (step @p440 :rule eq-symm :args (@t30 tptp.sk_c7)) % 28.04/28.40 (step @p441 :rule nary_cong :premises (@p440 @p38) :args (@t32)) % 28.04/28.40 (step @p442 :rule eq_resolve :premises (@p11 @p441)) % 28.04/28.40 (step @p443 :rule reordering :premises (@p442) :args ((or @t78 @t132))) % 28.04/28.40 (step @p444 :rule nary_cong :premises (@p440 @p43) :args (@t33)) % 28.04/28.40 (step @p445 :rule eq_resolve :premises (@p12 @p444)) % 28.04/28.40 (step @p446 :rule reordering :premises (@p445) :args ((or @t79 @t132))) % 28.04/28.40 (step @p447 :rule nary_cong :premises (@p440 @p47) :args (@t34)) % 28.04/28.40 (step @p448 :rule eq_resolve :premises (@p13 @p447)) % 28.04/28.40 (step @p449 :rule reordering :premises (@p448) :args ((or @t80 @t132))) % 28.04/28.40 (step @p450 :rule nary_cong :premises (@p440 @p51) :args (@t35)) % 28.04/28.40 (step @p451 :rule eq_resolve :premises (@p14 @p450)) % 28.04/28.40 (step @p452 :rule reordering :premises (@p451) :args ((or @t81 @t132))) % 28.04/28.40 (step @p453 :rule nary_cong :premises (@p440 @p55) :args (@t36)) % 28.04/28.40 (step @p454 :rule eq_resolve :premises (@p15 @p453)) % 28.04/28.40 (step @p455 :rule reordering :premises (@p454) :args ((or @t82 @t132))) % 28.04/28.40 (step @p456 :rule nary_cong :premises (@p440 @p59) :args (@t37)) % 28.04/28.40 (step @p457 :rule eq_resolve :premises (@p16 @p456)) % 28.04/28.40 (step @p458 :rule reordering :premises (@p457) :args ((or @t83 @t132))) % 28.04/28.40 (step @p459 :rule nary_cong :premises (@p440 @p63) :args (@t38)) % 28.04/28.40 (step @p460 :rule eq_resolve :premises (@p17 @p459)) % 28.04/28.40 (step @p461 :rule reordering :premises (@p460) :args ((or @t84 @t132))) % 28.04/28.40 (step @p462 :rule chain_m_resolution :premises (@p100 @p154 @p75 @p95 @p161 @p73 @p93 @p156 @p68 @p461 @p458 @p455 @p452 @p449 @p446 @p443 @p439 @p162) :args (@t124 (@list false true true true true false true true false false false false false false false true false) (@list @t102 @t122 @t97 @t118 @t91 @t93 @t130 @t87 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t132 @t77))) % 28.04/28.40 (step @p463 :rule nary_cong :premises (@p149 @p38) :args (@t13)) % 28.04/28.40 (step @p464 :rule eq_resolve :premises (@p4 @p463)) % 28.04/28.40 (step @p465 :rule chain_m_resolution :premises (@p464 @p462) :args (@t78 @t178 @t179)) % 28.04/28.40 (step @p466 :rule nary_cong :premises (@p149 @p43) :args (@t16)) % 28.04/28.40 (step @p467 :rule eq_resolve :premises (@p5 @p466)) % 28.04/28.40 (step @p468 :rule chain_m_resolution :premises (@p467 @p462) :args (@t79 @t178 @t179)) % 28.04/28.40 (step @p469 :rule nary_cong :premises (@p149 @p55) :args (@t23)) % 28.04/28.40 (step @p470 :rule eq_resolve :premises (@p8 @p469)) % 28.04/28.40 (step @p471 :rule chain_m_resolution :premises (@p470 @p462) :args (@t82 @t178 @t179)) % 28.04/28.40 (step @p472 :rule nary_cong :premises (@p149 @p59) :args (@t26)) % 28.04/28.40 (step @p473 :rule eq_resolve :premises (@p9 @p472)) % 28.04/28.40 (step @p474 :rule chain_m_resolution :premises (@p473 @p462) :args (@t83 @t178 @t179)) % 28.04/28.40 (step @p475 :rule nary_cong :premises (@p149 @p63) :args (@t29)) % 28.04/28.40 (step @p476 :rule eq_resolve :premises (@p10 @p475)) % 28.04/28.40 (step @p477 :rule chain_m_resolution :premises (@p476 @p462) :args (@t84 @t178 @t179)) % 28.04/28.40 (step @p478 :rule instantiate :premises (@p32) :args (@t92)) % 28.04/28.40 (step @p479 :rule instantiate :premises (@p32) :args (@t103)) % 28.04/28.40 (step @p480 :rule instantiate :premises (@p3) :args ((@list @t27 tptp.sk_c4 tptp.sk_c8))) % 28.04/28.40 (step @p481 :rule instantiate :premises (@p3) :args ((@list @t14 tptp.sk_c2 tptp.sk_c8))) % 28.04/28.40 (assume-push @p733 @t78) % 28.04/28.40 (assume-push @p734 @t79) % 28.04/28.40 (assume-push @p735 @t82) % 28.04/28.40 (assume-push @p736 @t83) % 28.04/28.40 (assume-push @p737 @t84) % 28.04/28.40 (assume-push @p738 @t141) % 28.04/28.40 (assume-push @p739 @t143) % 28.04/28.40 (assume-push @p740 @t147) % 28.04/28.40 (assume-push @p741 @t149) % 28.04/28.40 (assume-push @p742 @t153) % 28.04/28.40 (assume-push @p743 @t181) % 28.04/28.40 (assume-push @p744 @t183) % 28.04/28.40 (assume-push @p745 @t185) % 28.04/28.40 (assume-push @p746 @t187) % 28.04/28.40 (assume-push @p747 @t190) % 28.04/28.40 (assume-push @p748 @t141) % 28.04/28.40 (assume-push @p749 @t143) % 28.04/28.40 (assume-push @p750 @t153) % 28.04/28.40 (assume-push @p751 @t78) % 28.04/28.40 (assume-push @p752 @t181) % 28.04/28.40 (assume-push @p753 @t147) % 28.04/28.40 (assume-push @p754 @t185) % 28.04/28.40 (assume-push @p755 @t187) % 28.04/28.40 (assume-push @p756 @t84) % 28.04/28.40 (assume-push @p757 @t83) % 28.04/28.40 (assume-push @p758 @t82) % 28.04/28.40 (assume-push @p759 @t79) % 28.04/28.40 (assume-push @p760 @t190) % 28.04/28.40 (assume-push @p761 @t183) % 28.04/28.40 (assume-push @p762 @t149) % 28.04/28.40 (step @p512 :rule symm :premises (@p735)) % 28.04/28.40 (step @p513 :rule symm :premises (@p736)) % 28.04/28.40 (step @p514 :rule symm :premises (@p737)) % 28.04/28.40 (step @p515 :rule cong :premises (@p514 @p513) :args (@t186)) % 28.04/28.40 (step @p80 :rule refl :args (tptp.sk_c8)) % 28.04/28.40 (step @p516 :rule cong :premises (@p479 @p80) :args (@t146)) % 28.04/28.40 (step @p517 :rule trans :premises (@p34 @p516 @p480 @p515 @p512)) % 28.04/28.40 (step @p199 :rule symm :premises (@p29)) % 28.04/28.40 (step @p200 :rule refl :args (tptp.sk_c7)) % 28.04/28.40 (step @p201 :rule symm :premises (@p33)) % 28.04/28.40 (step @p202 :rule cong :premises (@p201 @p200) :args (@t152)) % 28.04/28.40 (step @p203 :rule symm :premises (@p36)) % 28.04/28.40 (step @p518 :rule symm :premises (@p733)) % 28.04/28.40 (step @p519 :rule cong :premises (@p518 @p200) :args (@t180)) % 28.04/28.40 (step @p520 :rule symm :premises (@p37)) % 28.04/28.40 (step @p521 :rule symm :premises (@p734)) % 28.04/28.40 (step @p522 :rule cong :premises (@p521 @p518) :args (@t188)) % 28.04/28.40 (step @p523 :rule symm :premises (@p517)) % 28.04/28.40 (step @p524 :rule cong :premises (@p478 @p523) :args (@t148)) % 28.04/28.40 (step @p525 :rule trans :premises (@p35 @p524 @p481 @p522)) % 28.04/28.40 (step @p526 :rule refl :args (tptp.sk_c2)) % 28.04/28.40 (step @p527 :rule cong :premises (@p526 @p525) :args ((tptp.multiply tptp.sk_c2 tptp.sk_c6))) % 28.04/28.40 (step @p528 :rule cong :premises (@p526 @p517) :args (@t9)) % 28.04/28.40 (step @p529 :rule trans :premises (@p733 @p528 @p527 @p520 @p519)) % 28.04/28.40 (step @p215 :rule refl :args (@t76)) % 28.04/28.40 (step @p530 :rule cong :premises (@p215 @p529) :args (@t142)) % 28.04/28.40 (step @p531 :rule trans :premises (@p33 @p530 @p203 @p202 @p199)) % 28.04/28.40 (step @p532 :rule symm :premises (@p478)) % 28.04/28.40 (step @p533 :rule trans :premises (@p532 @p531)) % 28.04/28.40 (step @p534 :rule cong :premises (@p533 @p517) :args (@t189)) % 28.04/28.40 (step @p535 :rule trans :premises (@p34 @p516 @p480 @p515 @p512 @p35 @p524 @p534)) % 28.04/28.40 (step-pop @p763 :rule scope :premises (@p535)) % 28.04/28.40 (step-pop @p764 :rule scope :premises (@p763)) % 28.04/28.40 (step-pop @p765 :rule scope :premises (@p764)) % 28.04/28.40 (step-pop @p766 :rule scope :premises (@p765)) % 28.04/28.40 (step-pop @p767 :rule scope :premises (@p766)) % 28.04/28.40 (step-pop @p768 :rule scope :premises (@p767)) % 28.04/28.40 (step-pop @p769 :rule scope :premises (@p768)) % 28.04/28.40 (step-pop @p770 :rule scope :premises (@p769)) % 28.04/28.40 (step-pop @p771 :rule scope :premises (@p770)) % 28.04/28.40 (step-pop @p772 :rule scope :premises (@p771)) % 28.04/28.40 (step-pop @p773 :rule scope :premises (@p772)) % 28.04/28.40 (step-pop @p774 :rule scope :premises (@p773)) % 28.04/28.40 (step-pop @p775 :rule scope :premises (@p774)) % 28.04/28.40 (step-pop @p776 :rule scope :premises (@p775)) % 28.04/28.40 (step-pop @p777 :rule scope :premises (@p776)) % 28.04/28.40 (step @p536 :rule process_scope :premises (@p777) :args (@t123)) % 28.04/28.40 (step @p552 :rule and_intro :premises (@p29 @p33 @p36 @p733 @p37 @p34 @p479 @p480 @p737 @p736 @p735 @p734 @p481 @p478 @p35)) % 28.04/28.40 (step @p553 :rule modus_ponens :premises (@p552 @p536)) % 28.04/28.40 (step-pop @p778 :rule scope :premises (@p553)) % 28.04/28.40 (step-pop @p779 :rule scope :premises (@p778)) % 28.04/28.40 (step-pop @p780 :rule scope :premises (@p779)) % 28.04/28.40 (step-pop @p781 :rule scope :premises (@p780)) % 28.04/28.40 (step-pop @p782 :rule scope :premises (@p781)) % 28.04/28.40 (step-pop @p783 :rule scope :premises (@p782)) % 28.04/28.40 (step-pop @p784 :rule scope :premises (@p783)) % 28.04/28.40 (step-pop @p785 :rule scope :premises (@p784)) % 28.04/28.40 (step-pop @p786 :rule scope :premises (@p785)) % 28.04/28.40 (step-pop @p787 :rule scope :premises (@p786)) % 28.04/28.40 (step-pop @p788 :rule scope :premises (@p787)) % 28.04/28.40 (step-pop @p789 :rule scope :premises (@p788)) % 28.04/28.40 (step-pop @p790 :rule scope :premises (@p789)) % 28.04/28.40 (step-pop @p791 :rule scope :premises (@p790)) % 28.04/28.40 (step-pop @p792 :rule scope :premises (@p791)) % 28.04/28.40 (step @p554 :rule process_scope :premises (@p792) :args (@t123)) % 28.04/28.40 (step @p570 :rule implies_elim :premises (@p554)) % 28.04/28.40 (step @p571 :rule cnf_and_neg :args (@t191)) % 28.04/28.40 (step @p572 :rule resolution :premises (@p571 @p570) :args (true @t191)) % 28.04/28.40 (step @p573 :rule reordering :premises (@p572) :args ((or @t123 @t86 @t85 (not @t82) (not @t83) @t95 @t168 @t167 @t165 @t164 @t163 (not @t181) (not @t183) (not @t185) (not @t187) (not @t190)))) % 28.04/28.40 (step @p574 false :rule chain_m_resolution :premises (@p573 @p481 @p480 @p479 @p478 @p477 @p474 @p471 @p468 @p465 @p462 @p37 @p36 @p35 @p34 @p33 @p29) :args (false (@list false false false false false false false false false true false false false false false false) (@list @t190 @t187 @t185 @t183 @t84 @t83 @t82 @t79 @t78 @t123 @t181 @t153 @t149 @t147 @t143 @t141))) % 28.04/28.40 ) % 28.04/28.40 % SZS output end Proof % 28.04/28.40 % cvc5 exiting %------------------------------------------------------------------------------