%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW438-1 : TPTP v9.2.1. Released v5.2.0. % 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 09:04:56 AM UTC 2026 % Result : Unsatisfiable 4.71s 5.00s % Output : Proof 4.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWW438-1 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 21:57:48 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 4.71/5.00 % SZS status Unsatisfiable % 4.71/5.00 % SZS output start Proof % 4.83/5.02 ( % 4.83/5.02 (declare-sort $$unsorted 0) % 4.83/5.02 (declare-const tptp.x1 $$unsorted) % 4.83/5.02 (declare-const tptp.x12 $$unsorted) % 4.83/5.02 (declare-const tptp.x4 $$unsorted) % 4.83/5.02 (declare-const tptp.emp $$unsorted) % 4.83/5.02 (declare-const tptp.x5 $$unsorted) % 4.83/5.02 (declare-const tptp.x2 $$unsorted) % 4.83/5.02 (declare-const tptp.x16 $$unsorted) % 4.83/5.02 (declare-const tptp.sep (-> $$unsorted $$unsorted $$unsorted)) % 4.83/5.02 (declare-const tptp.nil $$unsorted) % 4.83/5.02 (declare-const tptp.x10 $$unsorted) % 4.83/5.02 (declare-const tptp.lseg (-> $$unsorted $$unsorted $$unsorted)) % 4.83/5.02 (declare-const tptp.x11 $$unsorted) % 4.83/5.02 (declare-const tptp.x3 $$unsorted) % 4.83/5.02 (declare-const tptp.heap (-> $$unsorted Bool)) % 4.83/5.02 (declare-const tptp.x6 $$unsorted) % 4.83/5.02 (declare-const tptp.x8 $$unsorted) % 4.83/5.02 (declare-const tptp.x15 $$unsorted) % 4.83/5.02 (declare-const tptp.x13 $$unsorted) % 4.83/5.02 (declare-const tptp.next (-> $$unsorted $$unsorted $$unsorted)) % 4.83/5.02 (declare-const tptp.x7 $$unsorted) % 4.83/5.02 (declare-const tptp.x9 $$unsorted) % 4.83/5.02 (declare-const tptp.x14 $$unsorted) % 4.83/5.02 (define @t1 () (@var "Sigma" $$unsorted)) % 4.83/5.02 (define @t2 () (@var "S" $$unsorted)) % 4.83/5.02 (define @t3 () (@var "T" $$unsorted)) % 4.83/5.02 (define @t4 () (forall (@list @t2 @t3 @t1) (= (tptp.sep @t2 (tptp.sep @t3 @t1)) (tptp.sep @t3 (tptp.sep @t2 @t1))))) % 4.83/5.02 (define @t5 () (@var "X" $$unsorted)) % 4.83/5.02 (define @t6 () (tptp.sep (tptp.lseg @t5 @t5) @t1)) % 4.83/5.02 (define @t7 () (forall (@list @t5 @t1) (= @t6 @t1))) % 4.83/5.02 (define @t8 () (@var "Y" $$unsorted)) % 4.83/5.02 (define @t9 () (@list @t8 @t1)) % 4.83/5.02 (define @t10 () (@var "Z" $$unsorted)) % 4.83/5.02 (define @t11 () (tptp.next @t5 @t8)) % 4.83/5.02 (define @t12 () (@list @t5 @t8 @t10 @t1)) % 4.83/5.02 (define @t13 () (= @t5 @t10)) % 4.83/5.02 (define @t14 () (tptp.lseg @t5 @t10)) % 4.83/5.02 (define @t15 () (tptp.sep @t14 @t1)) % 4.83/5.02 (define @t16 () (= @t5 @t8)) % 4.83/5.02 (define @t17 () (tptp.lseg @t5 @t8)) % 4.83/5.02 (define @t18 () (forall @t12 (or (not (tptp.heap (tptp.sep @t17 @t15))) @t16 @t13))) % 4.83/5.02 (define @t19 () (tptp.lseg @t8 @t10)) % 4.83/5.02 (define @t20 () (@var "W" $$unsorted)) % 4.83/5.02 (define @t21 () (tptp.sep (tptp.next @t10 @t20) @t1)) % 4.83/5.02 (define @t22 () (@list @t5 @t8 @t10 @t20 @t1)) % 4.83/5.02 (define @t23 () (tptp.sep (tptp.lseg @t10 @t20) @t1)) % 4.83/5.02 (define @t24 () (tptp.lseg tptp.x6 tptp.x16)) % 4.83/5.02 (define @t25 () (tptp.sep @t24 tptp.emp)) % 4.83/5.02 (define @t26 () (tptp.lseg tptp.x6 tptp.x14)) % 4.83/5.02 (define @t27 () (tptp.sep @t26 @t25)) % 4.83/5.02 (define @t28 () (tptp.lseg tptp.x11 tptp.x4)) % 4.83/5.02 (define @t29 () (tptp.sep @t28 @t27)) % 4.83/5.02 (define @t30 () (tptp.lseg tptp.x3 tptp.x14)) % 4.83/5.02 (define @t31 () (tptp.sep @t30 @t29)) % 4.83/5.02 (define @t32 () (tptp.lseg tptp.x7 tptp.x16)) % 4.83/5.02 (define @t33 () (tptp.sep @t32 @t31)) % 4.83/5.02 (define @t34 () (tptp.lseg tptp.x7 tptp.x2)) % 4.83/5.02 (define @t35 () (tptp.sep @t34 @t33)) % 4.83/5.02 (define @t36 () (tptp.lseg tptp.x10 tptp.x3)) % 4.83/5.02 (define @t37 () (tptp.sep @t36 @t35)) % 4.83/5.02 (define @t38 () (tptp.lseg tptp.x10 tptp.x2)) % 4.83/5.02 (define @t39 () (tptp.sep @t38 @t37)) % 4.83/5.02 (define @t40 () (tptp.lseg tptp.x13 tptp.x8)) % 4.83/5.02 (define @t41 () (tptp.sep @t40 @t39)) % 4.83/5.02 (define @t42 () (tptp.lseg tptp.x13 tptp.x6)) % 4.83/5.02 (define @t43 () (tptp.sep @t42 @t41)) % 4.83/5.02 (define @t44 () (tptp.lseg tptp.x2 tptp.x13)) % 4.83/5.02 (define @t45 () (tptp.lseg tptp.x14 tptp.x12)) % 4.83/5.02 (define @t46 () (tptp.sep @t44 @t35)) % 4.83/5.02 (define @t47 () (tptp.sep @t40 @t46)) % 4.83/5.02 (define @t48 () (tptp.sep @t45 @t47)) % 4.83/5.02 (define @t49 () (tptp.sep @t42 @t48)) % 4.83/5.02 (define @t50 () (tptp.sep @t40 @t37)) % 4.83/5.02 (define @t51 () (tptp.sep @t42 @t50)) % 4.83/5.02 (define @t52 () (tptp.sep @t44 @t51)) % 4.83/5.02 (define @t53 () (tptp.sep @t44 @t50)) % 4.83/5.02 (define @t54 () (tptp.sep @t42 @t53)) % 4.83/5.02 (define @t55 () (tptp.sep @t44 @t37)) % 4.83/5.02 (define @t56 () (tptp.sep @t40 @t55)) % 4.83/5.02 (define @t57 () (= @t53 @t56)) % 4.83/5.02 (define @t58 () (@list @t44 @t40 @t37)) % 4.83/5.02 (define @t59 () (@list false)) % 4.83/5.02 (define @t60 () (@list @t4)) % 4.83/5.02 (define @t61 () (tptp.sep @t38 (tptp.sep @t36 @t49))) % 4.83/5.02 (define @t62 () (tptp.heap @t61)) % 4.83/5.02 (define @t63 () (= tptp.x10 tptp.x3)) % 4.83/5.02 (define @t64 () (= tptp.x10 tptp.x2)) % 4.83/5.02 (define @t65 () (not @t62)) % 4.83/5.02 (define @t66 () (or @t65 @t64 @t63)) % 4.83/5.02 (define @t67 () (@list true false false)) % 4.83/5.02 (define @t68 () (tptp.sep @t26 tptp.emp)) % 4.83/5.02 (define @t69 () (tptp.sep @t28 @t68)) % 4.83/5.02 (define @t70 () (tptp.sep @t30 @t69)) % 4.83/5.02 (define @t71 () (tptp.sep @t40 @t70)) % 4.83/5.02 (define @t72 () (tptp.sep @t34 @t71)) % 4.83/5.02 (define @t73 () (tptp.sep @t45 @t72)) % 4.83/5.02 (define @t74 () (tptp.sep @t32 @t73)) % 4.83/5.02 (define @t75 () (tptp.sep @t42 @t39)) % 4.83/5.02 (define @t76 () (tptp.sep @t30 @t27)) % 4.83/5.02 (define @t77 () (tptp.sep @t32 @t76)) % 4.83/5.02 (define @t78 () (tptp.sep @t28 @t77)) % 4.83/5.02 (define @t79 () (tptp.sep @t36 @t77)) % 4.83/5.02 (define @t80 () (tptp.sep @t34 @t79)) % 4.83/5.02 (define @t81 () (tptp.sep @t44 @t80)) % 4.83/5.02 (define @t82 () (tptp.lseg tptp.x10 tptp.x10)) % 4.83/5.02 (define @t83 () (tptp.sep @t42 @t81)) % 4.83/5.02 (define @t84 () (tptp.sep @t28 @t83)) % 4.83/5.02 (define @t85 () (tptp.sep @t34 @t77)) % 4.83/5.02 (define @t86 () (tptp.sep @t36 @t85)) % 4.83/5.02 (define @t87 () (= @t80 @t86)) % 4.83/5.02 (define @t88 () (tptp.sep @t32 @t25)) % 4.83/5.02 (define @t89 () (tptp.sep @t30 @t88)) % 4.83/5.02 (define @t90 () (tptp.sep @t34 @t89)) % 4.83/5.02 (define @t91 () (tptp.sep @t42 (tptp.sep @t26 (tptp.sep @t36 @t90)))) % 4.83/5.02 (define @t92 () (tptp.sep @t34 @t76)) % 4.83/5.02 (define @t93 () (tptp.sep @t36 @t92)) % 4.83/5.02 (define @t94 () (tptp.sep @t32 @t93)) % 4.83/5.02 (define @t95 () (tptp.sep @t42 @t93)) % 4.83/5.02 (define @t96 () (tptp.sep @t44 (tptp.sep @t42 @t80))) % 4.83/5.02 (define @t97 () (= @t96 @t83)) % 4.83/5.02 (define @t98 () (tptp.sep @t44 @t93)) % 4.83/5.02 (define @t99 () (tptp.sep @t40 (tptp.sep @t42 @t55))) % 4.83/5.02 (define @t100 () (tptp.sep @t42 @t56)) % 4.83/5.02 (define @t101 () (= @t99 @t100)) % 4.83/5.02 (define @t102 () (tptp.sep @t45 @t52)) % 4.83/5.02 (define @t103 () (tptp.sep @t42 @t35)) % 4.83/5.02 (define @t104 () (tptp.sep @t40 @t103)) % 4.83/5.02 (define @t105 () (tptp.lseg tptp.x10 tptp.x13)) % 4.83/5.02 (define @t106 () (tptp.sep @t45 @t104)) % 4.83/5.02 (define @t107 () (tptp.sep @t36 @t106)) % 4.83/5.02 (define @t108 () (tptp.sep @t40 @t85)) % 4.83/5.02 (define @t109 () (tptp.sep @t36 @t108)) % 4.83/5.02 (define @t110 () (tptp.sep @t45 @t109)) % 4.83/5.02 (define @t111 () (tptp.sep @t38 @t110)) % 4.83/5.02 (define @t112 () (tptp.sep @t45 @t50)) % 4.83/5.02 (define @t113 () (tptp.sep @t38 @t112)) % 4.83/5.02 (define @t114 () (tptp.sep @t45 @t37)) % 4.83/5.02 (define @t115 () (tptp.sep @t44 @t41)) % 4.83/5.02 (define @t116 () (tptp.sep @t28 @t110)) % 4.83/5.02 (define @t117 () (tptp.sep @t105 @t106)) % 4.83/5.02 (define @t118 () (tptp.sep @t36 @t117)) % 4.83/5.02 (define @t119 () (tptp.heap @t118)) % 4.83/5.02 (define @t120 () (= tptp.x10 tptp.x13)) % 4.83/5.02 (define @t121 () (not @t119)) % 4.83/5.02 (define @t122 () (or @t121 @t63 @t120)) % 4.83/5.02 (define @t123 () (tptp.lseg tptp.x2 tptp.x10)) % 4.83/5.02 (define @t124 () (tptp.sep @t45 @t43)) % 4.83/5.02 (define @t125 () (tptp.sep @t38 @t35)) % 4.83/5.02 (define @t126 () (tptp.sep @t40 @t125)) % 4.83/5.02 (define @t127 () (tptp.sep @t42 @t126)) % 4.83/5.02 (define @t128 () (tptp.sep @t45 @t126)) % 4.83/5.02 (define @t129 () (tptp.lseg tptp.x10 tptp.x6)) % 4.83/5.02 (define @t130 () (tptp.sep @t129 @t128)) % 4.83/5.02 (define @t131 () (tptp.sep @t45 @t125)) % 4.83/5.02 (define @t132 () (tptp.sep @t45 @t35)) % 4.83/5.02 (define @t133 () (tptp.sep @t38 @t132)) % 4.83/5.02 (define @t134 () (= @t131 @t133)) % 4.83/5.02 (define @t135 () (@list @t45 @t38 @t35)) % 4.83/5.02 (define @t136 () (tptp.sep @t82 @t35)) % 4.83/5.02 (define @t137 () (tptp.sep @t45 @t33)) % 4.83/5.02 (define @t138 () (tptp.sep @t24 @t69)) % 4.83/5.02 (define @t139 () (tptp.sep @t32 @t69)) % 4.83/5.02 (define @t140 () (tptp.sep @t30 @t139)) % 4.83/5.02 (define @t141 () (tptp.sep @t40 @t140)) % 4.83/5.02 (define @t142 () (tptp.sep @t38 @t141)) % 4.83/5.02 (define @t143 () (tptp.sep @t32 @t68)) % 4.83/5.02 (define @t144 () (tptp.sep @t30 @t68)) % 4.83/5.02 (define @t145 () (tptp.sep @t32 @t144)) % 4.83/5.02 (define @t146 () (tptp.sep @t28 @t145)) % 4.83/5.02 (define @t147 () (tptp.sep @t40 @t145)) % 4.83/5.02 (define @t148 () (tptp.sep @t40 @t33)) % 4.83/5.02 (define @t149 () (tptp.sep @t38 @t148)) % 4.83/5.02 (define @t150 () (tptp.sep @t40 @t137)) % 4.83/5.02 (define @t151 () (tptp.sep @t38 @t150)) % 4.83/5.02 (define @t152 () (tptp.sep @t44 @t128)) % 4.83/5.02 (define @t153 () (tptp.sep @t36 @t130)) % 4.83/5.02 (define @t154 () (tptp.heap @t153)) % 4.83/5.02 (define @t155 () (not @t154)) % 4.83/5.02 (define @t156 () (or @t155 @t63 (= tptp.x10 tptp.x6))) % 4.83/5.02 (define @t157 () (= tptp.x6 tptp.x10)) % 4.83/5.02 (define @t158 () (or @t155 @t63 @t157)) % 4.83/5.02 (define @t159 () (tptp.sep @t45 @t51)) % 4.83/5.02 (define @t160 () (tptp.sep @t45 (tptp.sep @t44 @t126))) % 4.83/5.02 (define @t161 () (tptp.sep @t40 @t31)) % 4.83/5.02 (define @t162 () (tptp.sep @t34 @t31)) % 4.83/5.02 (define @t163 () (tptp.sep @t24 @t70)) % 4.83/5.02 (define @t164 () (tptp.sep @t34 @t70)) % 4.83/5.02 (define @t165 () (tptp.sep @t28 tptp.emp)) % 4.83/5.02 (define @t166 () (tptp.sep @t30 tptp.emp)) % 4.83/5.02 (define @t167 () (tptp.sep @t28 @t166)) % 4.83/5.02 (define @t168 () (tptp.lseg tptp.x3 tptp.x3)) % 4.83/5.02 (define @t169 () (tptp.sep @t168 (tptp.sep @t82 @t167))) % 4.83/5.02 (define @t170 () (tptp.sep @t168 @t167)) % 4.83/5.02 (define @t171 () (tptp.sep @t82 @t170)) % 4.83/5.02 (define @t172 () (= @t169 @t171)) % 4.83/5.02 (define @t173 () (@list @t168 @t82 @t167)) % 4.83/5.02 (define @t174 () (tptp.sep @t168 @t70)) % 4.83/5.02 (define @t175 () (tptp.sep @t168 @t164)) % 4.83/5.02 (define @t176 () (tptp.sep @t82 @t175)) % 4.83/5.02 (define @t177 () (tptp.sep @t38 @t162)) % 4.83/5.02 (define @t178 () (tptp.sep @t34 (tptp.sep @t38 @t31))) % 4.83/5.02 (define @t179 () (= @t177 @t178)) % 4.83/5.02 (define @t180 () (@list @t38 @t34 @t31)) % 4.83/5.02 (define @t181 () (tptp.sep @t40 @t177)) % 4.83/5.02 (define @t182 () (tptp.sep @t24 @t72)) % 4.83/5.02 (define @t183 () (tptp.sep @t44 @t181)) % 4.83/5.02 (define @t184 () (tptp.sep @t32 @t183)) % 4.83/5.02 (define @t185 () (tptp.sep @t45 @t181)) % 4.83/5.02 (define @t186 () (tptp.lseg tptp.x10 tptp.x16)) % 4.83/5.02 (define @t187 () (tptp.sep @t186 @t74)) % 4.83/5.02 (define @t188 () (tptp.sep @t36 @t187)) % 4.83/5.02 (define @t189 () (tptp.heap @t188)) % 4.83/5.02 (define @t190 () (= tptp.x10 tptp.x16)) % 4.83/5.02 (define @t191 () (not @t189)) % 4.83/5.02 (define @t192 () (or @t191 @t63 @t190)) % 4.83/5.02 (assume @p1 @t4) % 4.83/5.02 (assume @p2 @t7) % 4.83/5.02 (assume @p3 (forall @t9 (not (tptp.heap (tptp.sep (tptp.next tptp.nil @t8) @t1))))) % 4.83/5.02 (assume @p4 (forall @t9 (or (not (tptp.heap (tptp.sep (tptp.lseg tptp.nil @t8) @t1))) (= @t8 tptp.nil)))) % 4.83/5.02 (assume @p5 (forall @t12 (not (tptp.heap (tptp.sep @t11 (tptp.sep (tptp.next @t5 @t10) @t1)))))) % 4.83/5.02 (assume @p6 (forall @t12 (or (not (tptp.heap (tptp.sep @t11 @t15))) @t13))) % 4.83/5.02 (assume @p7 @t18) % 4.83/5.02 (assume @p8 (forall @t12 (or (not (tptp.heap (tptp.sep @t11 (tptp.sep @t19 @t1)))) @t16 (tptp.heap @t15)))) % 4.83/5.02 (assume @p9 (forall (@list @t5 @t8 @t1) (or (not (tptp.heap (tptp.sep @t17 (tptp.sep (tptp.lseg @t8 tptp.nil) @t1)))) (tptp.heap (tptp.sep (tptp.lseg @t5 tptp.nil) @t1))))) % 4.83/5.02 (assume @p10 (forall @t22 (or (not (tptp.heap (tptp.sep @t17 (tptp.sep @t19 @t21)))) (tptp.heap (tptp.sep @t14 @t21))))) % 4.83/5.02 (assume @p11 (forall @t22 (or (not (tptp.heap (tptp.sep @t17 (tptp.sep @t19 @t23)))) (= @t10 @t20) (tptp.heap (tptp.sep @t14 @t23))))) % 4.83/5.02 (assume @p12 (not (= tptp.x6 tptp.x11))) % 4.83/5.02 (assume @p13 (not (= tptp.x6 tptp.x7))) % 4.83/5.02 (assume @p14 (not (= tptp.x3 tptp.x10))) % 4.83/5.02 (assume @p15 (not (= tptp.x3 tptp.x14))) % 4.83/5.02 (assume @p16 (not (= tptp.x7 tptp.x15))) % 4.83/5.02 (assume @p17 (not (= tptp.x9 tptp.x15))) % 4.83/5.02 (assume @p18 (not (= tptp.x9 tptp.x14))) % 4.83/5.02 (assume @p19 (not (= tptp.x2 tptp.x16))) % 4.83/5.02 (assume @p20 (not (= tptp.x2 tptp.x5))) % 4.83/5.02 (assume @p21 (not (= tptp.x14 tptp.x16))) % 4.83/5.02 (assume @p22 (not (= tptp.x10 tptp.x11))) % 4.83/5.02 (assume @p23 (not (= tptp.x13 tptp.x15))) % 4.83/5.02 (assume @p24 (not (= tptp.x5 tptp.x9))) % 4.83/5.02 (assume @p25 (not (= tptp.x5 tptp.x16))) % 4.83/5.02 (assume @p26 (not (= tptp.x5 tptp.x15))) % 4.83/5.02 (assume @p27 (tptp.heap (tptp.sep @t45 (tptp.sep @t44 @t43)))) % 4.83/5.02 (assume @p28 (or (= tptp.x1 tptp.x1) (not (tptp.heap tptp.emp)))) % 4.83/5.02 (step @p29 :rule evaluate :args ((= false true))) % 4.83/5.02 (step @p30 :rule instantiate :premises (@p7) :args ((@list tptp.x10 tptp.x2 tptp.x3 @t49))) % 4.83/5.02 (step @p31 :rule true_intro :premises (@p27)) % 4.83/5.02 (step @p32 :rule instantiate :premises (@p1) :args ((@list @t40 @t38 @t37))) % 4.83/5.02 (step @p33 :rule symm :premises (@p32)) % 4.83/5.02 (step @p34 :rule refl :args (@t42)) % 4.83/5.02 (step @p35 :rule cong :premises (@p34 @p33) :args ((tptp.sep @t42 (tptp.sep @t38 @t50)))) % 4.83/5.02 (step @p36 :rule instantiate :premises (@p1) :args ((@list @t42 @t38 @t50))) % 4.83/5.02 (step @p37 :rule symm :premises (@p36)) % 4.83/5.02 (step @p38 :rule trans :premises (@p37 @p35)) % 4.83/5.02 (step @p39 :rule refl :args (@t44)) % 4.83/5.02 (step @p40 :rule cong :premises (@p39 @p38) :args ((tptp.sep @t44 (tptp.sep @t38 @t51)))) % 4.83/5.02 (step @p41 :rule instantiate :premises (@p1) :args ((@list @t44 @t38 @t51))) % 4.83/5.02 (step @p42 :rule symm :premises (@p41)) % 4.83/5.02 (step @p43 :rule trans :premises (@p42 @p40)) % 4.83/5.02 (step @p44 :rule refl :args (@t45)) % 4.83/5.02 (step @p45 :rule cong :premises (@p44 @p43) :args ((tptp.sep @t45 (tptp.sep @t38 @t52)))) % 4.83/5.02 (step @p46 :rule instantiate :premises (@p1) :args ((@list @t45 @t38 @t52))) % 4.83/5.02 (step @p47 :rule symm :premises (@p46)) % 4.83/5.02 (step @p48 :rule instantiate :premises (@p1) :args ((@list @t44 @t42 @t50))) % 4.83/5.02 (step @p49 :rule symm :premises (@p48)) % 4.83/5.02 (step @p50 :rule cong :premises (@p44 @p49) :args ((tptp.sep @t45 @t54))) % 4.83/5.02 (step @p51 :rule instantiate :premises (@p1) :args ((@list @t42 @t45 @t53))) % 4.83/5.02 (step @p52 :rule eq-symm :args (@t53 @t56)) % 4.83/5.02 (step @p53 :rule refl :args (@t4)) % 4.83/5.02 (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t4 @t57))) % 4.83/5.02 (assume-push @p622 @t4) % 4.83/5.02 (step @p56 :rule instantiate :premises (@p1) :args (@t58)) % 4.83/5.02 (step-pop @p623 :rule scope :premises (@p56)) % 4.83/5.02 (step @p57 :rule process_scope :premises (@p623) :args (@t57)) % 4.83/5.02 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 4.83/5.02 (step @p60 :rule implies_elim :premises (@p59)) % 4.83/5.02 (step @p61 :rule chain_m_resolution :premises (@p60 @p1) :args ((= @t56 @t53) @t59 @t60)) % 4.83/5.02 (step @p62 :rule cong :premises (@p44 @p61) :args ((tptp.sep @t45 @t56))) % 4.83/5.02 (step @p63 :rule instantiate :premises (@p1) :args ((@list @t44 @t36 @t35))) % 4.83/5.02 (step @p64 :rule symm :premises (@p63)) % 4.83/5.02 (step @p65 :rule refl :args (@t40)) % 4.83/5.02 (step @p66 :rule cong :premises (@p65 @p64) :args ((tptp.sep @t40 (tptp.sep @t36 @t46)))) % 4.83/5.02 (step @p67 :rule instantiate :premises (@p1) :args ((@list @t36 @t40 @t46))) % 4.83/5.02 (step @p68 :rule trans :premises (@p67 @p66)) % 4.83/5.02 (step @p69 :rule cong :premises (@p44 @p68) :args ((tptp.sep @t45 (tptp.sep @t36 @t47)))) % 4.83/5.02 (step @p70 :rule instantiate :premises (@p1) :args ((@list @t45 @t36 @t47))) % 4.83/5.02 (step @p71 :rule symm :premises (@p70)) % 4.83/5.02 (step @p72 :rule trans :premises (@p71 @p69 @p62)) % 4.83/5.02 (step @p73 :rule cong :premises (@p34 @p72) :args ((tptp.sep @t42 (tptp.sep @t36 @t48)))) % 4.83/5.02 (step @p74 :rule instantiate :premises (@p1) :args ((@list @t42 @t36 @t48))) % 4.83/5.02 (step @p75 :rule symm :premises (@p74)) % 4.83/5.02 (step @p76 :rule trans :premises (@p75 @p73 @p51 @p50)) % 4.83/5.02 (step @p77 :rule refl :args (@t38)) % 4.83/5.02 (step @p78 :rule cong :premises (@p77 @p76) :args (@t61)) % 4.83/5.02 (step @p79 :rule trans :premises (@p78 @p47 @p45)) % 4.83/5.02 (step @p80 :rule cong :premises (@p79) :args (@t62)) % 4.83/5.02 (step @p81 :rule trans :premises (@p80 @p31)) % 4.83/5.02 (step @p82 :rule true_elim :premises (@p81)) % 4.83/5.02 (step @p83 :rule symm :premises (@p14)) % 4.83/5.02 (step @p84 :rule cnf_or_pos :args (@t66)) % 4.83/5.02 (step @p85 :rule reordering :premises (@p84) :args ((or @t63 @t64 @t65 (not @t66)))) % 4.83/5.02 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p82 @p30) :args (@t64 @t67 (@list @t63 @t62 @t66))) % 4.83/5.02 (step @p87 :rule instantiate :premises (@p7) :args ((@list tptp.x10 tptp.x3 tptp.x16 @t74))) % 4.83/5.02 (step @p88 :rule instantiate :premises (@p1) :args ((@list @t42 @t40 @t39))) % 4.83/5.02 (step @p89 :rule symm :premises (@p88)) % 4.83/5.02 (step @p90 :rule cong :premises (@p39 @p89) :args ((tptp.sep @t44 (tptp.sep @t40 @t75)))) % 4.83/5.02 (step @p91 :rule instantiate :premises (@p1) :args ((@list @t44 @t40 @t75))) % 4.83/5.02 (step @p92 :rule symm :premises (@p91)) % 4.83/5.02 (step @p93 :rule instantiate :premises (@p1) :args ((@list @t44 @t42 @t39))) % 4.83/5.02 (step @p94 :rule symm :premises (@p93)) % 4.83/5.02 (step @p95 :rule instantiate :premises (@p1) :args ((@list @t44 @t38 @t37))) % 4.83/5.02 (step @p96 :rule symm :premises (@p95)) % 4.83/5.02 (step @p97 :rule cong :premises (@p34 @p96) :args ((tptp.sep @t42 (tptp.sep @t38 @t55)))) % 4.83/5.02 (step @p98 :rule instantiate :premises (@p1) :args ((@list @t42 @t38 @t55))) % 4.83/5.02 (step @p99 :rule symm :premises (@p98)) % 4.83/5.02 (step @p100 :rule instantiate :premises (@p1) :args ((@list @t36 @t34 @t33))) % 4.83/5.02 (step @p101 :rule symm :premises (@p100)) % 4.83/5.02 (step @p102 :rule instantiate :premises (@p1) :args ((@list @t30 @t28 @t27))) % 4.83/5.02 (step @p103 :rule symm :premises (@p102)) % 4.83/5.02 (step @p104 :rule refl :args (@t32)) % 4.83/5.02 (step @p105 :rule cong :premises (@p104 @p103) :args ((tptp.sep @t32 (tptp.sep @t28 @t76)))) % 4.83/5.02 (step @p106 :rule instantiate :premises (@p1) :args ((@list @t32 @t28 @t76))) % 4.83/5.02 (step @p107 :rule symm :premises (@p106)) % 4.83/5.02 (step @p108 :rule trans :premises (@p107 @p105)) % 4.83/5.02 (step @p109 :rule refl :args (@t36)) % 4.83/5.02 (step @p110 :rule cong :premises (@p109 @p108) :args ((tptp.sep @t36 @t78))) % 4.83/5.02 (step @p111 :rule instantiate :premises (@p1) :args ((@list @t36 @t28 @t77))) % 4.83/5.02 (step @p112 :rule symm :premises (@p111)) % 4.83/5.02 (step @p113 :rule trans :premises (@p112 @p110)) % 4.83/5.02 (step @p114 :rule refl :args (@t34)) % 4.83/5.02 (step @p115 :rule cong :premises (@p114 @p113) :args ((tptp.sep @t34 (tptp.sep @t28 @t79)))) % 4.83/5.02 (step @p116 :rule instantiate :premises (@p1) :args ((@list @t34 @t28 @t79))) % 4.83/5.02 (step @p117 :rule symm :premises (@p116)) % 4.83/5.02 (step @p118 :rule trans :premises (@p117 @p115 @p101)) % 4.83/5.02 (step @p119 :rule cong :premises (@p39 @p118) :args ((tptp.sep @t44 (tptp.sep @t28 @t80)))) % 4.83/5.02 (step @p120 :rule instantiate :premises (@p1) :args ((@list @t44 @t28 @t80))) % 4.83/5.02 (step @p121 :rule symm :premises (@p120)) % 4.83/5.02 (step @p122 :rule trans :premises (@p121 @p119)) % 4.83/5.02 (step @p123 :rule cong :premises (@p34 @p122) :args ((tptp.sep @t42 (tptp.sep @t28 @t81)))) % 4.83/5.02 (step @p124 :rule instantiate :premises (@p1) :args ((@list @t42 @t28 @t81))) % 4.83/5.02 (step @p125 :rule symm :premises (@p124)) % 4.83/5.02 (step @p126 :rule trans :premises (@p125 @p123)) % 4.83/5.02 (step @p127 :rule refl :args (tptp.x10)) % 4.83/5.02 (step @p128 :rule cong :premises (@p127 @p86) :args (@t82)) % 4.83/5.02 (step @p129 :rule cong :premises (@p128 @p126) :args ((tptp.sep @t82 @t84))) % 4.83/5.02 (step @p130 :rule instantiate :premises (@p1) :args ((@list @t28 @t82 @t83))) % 4.83/5.02 (step @p131 :rule eq-symm :args (@t6 @t1)) % 4.83/5.02 (step @p132 :rule cong :premises (@p131) :args (@t7)) % 4.83/5.02 (step @p133 :rule eq_resolve :premises (@p2 @p132)) % 4.83/5.02 (step @p134 :rule instantiate :premises (@p133) :args ((@list tptp.x10 @t83))) % 4.83/5.02 (step @p135 :rule instantiate :premises (@p1) :args ((@list @t44 @t42 @t80))) % 4.83/5.02 (step @p136 :rule eq-symm :args (@t80 @t86)) % 4.83/5.02 (step @p137 :rule cong :premises (@p53 @p136) :args ((=> @t4 @t87))) % 4.83/5.02 (assume-push @p624 @t4) % 4.83/5.02 (step @p139 :rule instantiate :premises (@p1) :args ((@list @t34 @t36 @t77))) % 4.83/5.02 (step-pop @p625 :rule scope :premises (@p139)) % 4.83/5.02 (step @p140 :rule process_scope :premises (@p625) :args (@t87)) % 4.83/5.02 (step @p142 :rule eq_resolve :premises (@p140 @p137)) % 4.83/5.02 (step @p143 :rule implies_elim :premises (@p142)) % 4.83/5.02 (step @p144 :rule chain_m_resolution :premises (@p143 @p1) :args ((= @t86 @t80) @t59 @t60)) % 4.83/5.02 (step @p145 :rule instantiate :premises (@p1) :args ((@list @t32 @t30 @t27))) % 4.83/5.02 (step @p146 :rule symm :premises (@p145)) % 4.83/5.02 (step @p147 :rule instantiate :premises (@p1) :args ((@list @t32 @t26 @t25))) % 4.83/5.02 (step @p148 :rule symm :premises (@p147)) % 4.83/5.02 (step @p149 :rule refl :args (@t30)) % 4.83/5.02 (step @p150 :rule cong :premises (@p149 @p148) :args ((tptp.sep @t30 (tptp.sep @t26 @t88)))) % 4.83/5.02 (step @p151 :rule instantiate :premises (@p1) :args ((@list @t30 @t26 @t88))) % 4.83/5.02 (step @p152 :rule symm :premises (@p151)) % 4.83/5.02 (step @p153 :rule trans :premises (@p152 @p150 @p146)) % 4.83/5.02 (step @p154 :rule cong :premises (@p114 @p153) :args ((tptp.sep @t34 (tptp.sep @t26 @t89)))) % 4.83/5.02 (step @p155 :rule instantiate :premises (@p1) :args ((@list @t34 @t26 @t89))) % 4.83/5.02 (step @p156 :rule symm :premises (@p155)) % 4.83/5.02 (step @p157 :rule trans :premises (@p156 @p154)) % 4.83/5.02 (step @p158 :rule cong :premises (@p109 @p157) :args ((tptp.sep @t36 (tptp.sep @t26 @t90)))) % 4.83/5.02 (step @p159 :rule instantiate :premises (@p1) :args ((@list @t36 @t26 @t90))) % 4.83/5.02 (step @p160 :rule symm :premises (@p159)) % 4.83/5.02 (step @p161 :rule trans :premises (@p160 @p158 @p144)) % 4.83/5.02 (step @p162 :rule cong :premises (@p34 @p161) :args (@t91)) % 4.83/5.02 (step @p163 :rule cong :premises (@p39 @p162) :args ((tptp.sep @t44 @t91))) % 4.83/5.02 (step @p164 :rule symm :premises (@p162)) % 4.83/5.02 (step @p165 :rule instantiate :premises (@p1) :args ((@list @t34 @t32 @t76))) % 4.83/5.02 (step @p166 :rule symm :premises (@p165)) % 4.83/5.02 (step @p167 :rule cong :premises (@p109 @p166) :args ((tptp.sep @t36 (tptp.sep @t32 @t92)))) % 4.83/5.02 (step @p168 :rule instantiate :premises (@p1) :args ((@list @t32 @t36 @t92))) % 4.83/5.02 (step @p169 :rule trans :premises (@p168 @p167 @p144)) % 4.83/5.02 (step @p170 :rule cong :premises (@p34 @p169) :args ((tptp.sep @t42 @t94))) % 4.83/5.02 (step @p171 :rule instantiate :premises (@p1) :args ((@list @t42 @t32 @t93))) % 4.83/5.02 (step @p172 :rule symm :premises (@p171)) % 4.83/5.02 (step @p173 :rule trans :premises (@p172 @p170 @p164)) % 4.83/5.02 (step @p174 :rule cong :premises (@p39 @p173) :args ((tptp.sep @t44 (tptp.sep @t32 @t95)))) % 4.83/5.02 (step @p175 :rule instantiate :premises (@p1) :args ((@list @t44 @t32 @t95))) % 4.83/5.02 (step @p176 :rule symm :premises (@p175)) % 4.83/5.02 (step @p177 :rule trans :premises (@p176 @p174 @p163 @p135 @p134)) % 4.83/5.02 (step @p178 :rule refl :args (@t28)) % 4.83/5.02 (step @p179 :rule cong :premises (@p178 @p177) :args ((tptp.sep @t28 (tptp.sep @t32 (tptp.sep @t44 @t95))))) % 4.83/5.02 (step @p180 :rule symm :premises (@p174)) % 4.83/5.02 (step @p181 :rule symm :premises (@p163)) % 4.83/5.02 (step @p182 :rule eq-symm :args (@t96 @t83)) % 4.83/5.02 (step @p183 :rule cong :premises (@p53 @p182) :args ((=> @t4 @t97))) % 4.83/5.02 (assume-push @p626 @t4) % 4.83/5.02 (step-pop @p627 :rule scope :premises (@p135)) % 4.83/5.02 (step @p185 :rule process_scope :premises (@p627) :args (@t97)) % 4.83/5.02 (step @p187 :rule eq_resolve :premises (@p185 @p183)) % 4.83/5.02 (step @p188 :rule implies_elim :premises (@p187)) % 4.83/5.02 (step @p189 :rule chain_m_resolution :premises (@p188 @p1) :args ((= @t83 @t96) @t59 @t60)) % 4.83/5.02 (step @p190 :rule cong :premises (@p39 @p169) :args ((tptp.sep @t44 @t94))) % 4.83/5.02 (step @p191 :rule instantiate :premises (@p1) :args ((@list @t44 @t32 @t93))) % 4.83/5.02 (step @p192 :rule symm :premises (@p191)) % 4.83/5.02 (step @p193 :rule trans :premises (@p192 @p190)) % 4.83/5.02 (step @p194 :rule cong :premises (@p34 @p193) :args ((tptp.sep @t42 (tptp.sep @t32 @t98)))) % 4.83/5.02 (step @p195 :rule instantiate :premises (@p1) :args ((@list @t42 @t32 @t98))) % 4.83/5.02 (step @p196 :rule symm :premises (@p195)) % 4.83/5.02 (step @p197 :rule trans :premises (@p196 @p194 @p189 @p181 @p180 @p175)) % 4.83/5.02 (step @p198 :rule cong :premises (@p178 @p197) :args ((tptp.sep @t28 (tptp.sep @t32 (tptp.sep @t42 @t98))))) % 4.83/5.02 (step @p199 :rule symm :premises (@p194)) % 4.83/5.02 (step @p200 :rule trans :premises (@p199 @p195)) % 4.83/5.02 (step @p201 :rule cong :premises (@p178 @p200) :args (@t84)) % 4.83/5.02 (step @p202 :rule symm :premises (@p123)) % 4.83/5.02 (step @p203 :rule trans :premises (@p202 @p124 @p201 @p198 @p179 @p130 @p129 @p99 @p97 @p94)) % 4.83/5.02 (step @p204 :rule cong :premises (@p65 @p203) :args (@t99)) % 4.83/5.02 (step @p205 :rule eq-symm :args (@t99 @t100)) % 4.83/5.02 (step @p206 :rule cong :premises (@p53 @p205) :args ((=> @t4 @t101))) % 4.83/5.02 (assume-push @p628 @t4) % 4.83/5.02 (step @p208 :rule instantiate :premises (@p1) :args ((@list @t40 @t42 @t55))) % 4.83/5.02 (step-pop @p629 :rule scope :premises (@p208)) % 4.83/5.02 (step @p209 :rule process_scope :premises (@p629) :args (@t101)) % 4.83/5.02 (step @p211 :rule eq_resolve :premises (@p209 @p206)) % 4.83/5.02 (step @p212 :rule implies_elim :premises (@p211)) % 4.83/5.02 (step @p213 :rule chain_m_resolution :premises (@p212 @p1) :args ((= @t100 @t99) @t59 @t60)) % 4.83/5.02 (step @p56 :rule instantiate :premises (@p1) :args (@t58)) % 4.83/5.02 (step @p214 :rule cong :premises (@p34 @p56) :args (@t54)) % 4.83/5.02 (step @p215 :rule trans :premises (@p48 @p214 @p213 @p204 @p92 @p90)) % 4.83/5.02 (step @p216 :rule cong 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(@list @t18))) % 4.83/5.02 (step @p455 :rule refl :args (@t159)) % 4.83/5.02 (step @p456 :rule cong :premises (@p231 @p455) :args ((tptp.sep @t105 @t159))) % 4.83/5.02 (step @p457 :rule cong :premises (@p318 @p455) :args ((tptp.sep @t38 @t159))) % 4.83/5.02 (step @p458 :rule instantiate :premises (@p1) :args ((@list @t45 @t38 @t51))) % 4.83/5.02 (step @p459 :rule cong :premises (@p34 @p32) :args (@t43)) % 4.83/5.02 (step @p460 :rule trans :premises (@p459 @p36)) % 4.83/5.02 (step @p461 :rule cong :premises (@p44 @p460) :args (@t124)) % 4.83/5.02 (step @p462 :rule trans :premises (@p348 @p341)) % 4.83/5.02 (step @p463 :rule cong :premises (@p109 @p462) :args (@t153)) % 4.83/5.02 (step @p464 :rule trans :premises (@p463 @p339 @p337 @p461 @p458 @p457 @p456 @p217 @p301 @p300 @p299 @p280 @p278)) % 4.83/5.02 (step @p465 :rule cong :premises (@p464) :args (@t154)) % 4.83/5.02 (step @p466 :rule trans :premises (@p465 @p31)) % 4.83/5.02 (step @p467 :rule true_elim :premises (@p466)) % 4.83/5.02 (step @p468 :rule cnf_or_pos :args (@t158)) % 4.83/5.02 (step @p469 :rule reordering :premises (@p468) :args ((or @t63 @t157 @t155 (not @t158)))) % 4.83/5.02 (step @p470 :rule chain_m_resolution :premises (@p469 @p83 @p467 @p454) :args (@t157 @t67 (@list @t63 @t154 @t158))) % 4.83/5.02 (step @p471 :rule symm :premises (@p470)) % 4.83/5.02 (step @p472 :rule cong :premises (@p315 @p471) :args (@t123)) % 4.83/5.02 (step @p473 :rule trans :premises (@p317 @p472)) % 4.83/5.02 (step @p474 :rule cong :premises (@p473 @p441) :args ((tptp.sep @t38 @t152))) % 4.83/5.02 (step @p475 :rule instantiate :premises (@p1) :args ((@list @t45 @t44 @t126))) % 4.83/5.02 (step @p476 :rule cong :premises (@p128 @p475) :args ((tptp.sep @t82 @t160))) % 4.83/5.02 (step @p477 :rule instantiate :premises (@p133) :args ((@list tptp.x10 @t160))) % 4.83/5.02 (step @p478 :rule symm :premises (@p475)) % 4.83/5.02 (step @p479 :rule symm :premises (@p440)) % 4.83/5.02 (step @p480 :rule symm :premises (@p439)) % 4.83/5.02 (step @p481 :rule symm :premises (@p431)) % 4.83/5.02 (step @p482 :rule symm :premises (@p430)) % 4.83/5.02 (step @p483 :rule cong :premises (@p65 @p366) :args ((tptp.sep @t40 @t35))) % 4.83/5.02 (step @p484 :rule instantiate :premises (@p1) :args ((@list @t40 @t34 @t33))) % 4.83/5.02 (step @p485 :rule symm :premises (@p484)) % 4.83/5.02 (step @p486 :rule instantiate :premises (@p1) :args ((@list @t40 @t32 @t31))) % 4.83/5.02 (step @p487 :rule symm :premises (@p486)) % 4.83/5.02 (step @p488 :rule cong :premises (@p114 @p487) :args ((tptp.sep @t34 (tptp.sep @t32 @t161)))) % 4.83/5.02 (step @p489 :rule instantiate :premises (@p1) :args ((@list @t34 @t32 @t161))) % 4.83/5.02 (step @p490 :rule symm :premises (@p489)) % 4.83/5.02 (step @p491 :rule instantiate :premises (@p1) :args ((@list @t40 @t34 @t31))) % 4.83/5.02 (step @p492 :rule cong :premises (@p104 @p491) :args ((tptp.sep @t32 (tptp.sep @t40 @t162)))) % 4.83/5.02 (step @p493 :rule cong :premises (@p149 @p384) :args ((tptp.sep @t30 @t138))) % 4.83/5.02 (step @p494 :rule instantiate :premises (@p1) :args ((@list @t30 @t24 @t69))) % 4.83/5.02 (step @p495 :rule symm :premises (@p494)) % 4.83/5.02 (step @p496 :rule trans :premises (@p495 @p493)) % 4.83/5.02 (step @p497 :rule cong :premises (@p114 @p496) :args ((tptp.sep @t34 @t163))) % 4.83/5.02 (step @p498 :rule instantiate :premises (@p1) :args ((@list @t34 @t24 @t70))) % 4.83/5.02 (step @p499 :rule symm :premises (@p498)) % 4.83/5.02 (step @p500 :rule instantiate :premises (@p133) :args ((@list tptp.x10 @t164))) % 4.83/5.02 (step @p501 :rule symm :premises (@p500)) % 4.83/5.02 (step @p502 :rule instantiate :premises (@p1) :args ((@list @t28 @t26 tptp.emp))) % 4.83/5.02 (step @p503 :rule symm :premises (@p502)) % 4.83/5.02 (step @p504 :rule cong :premises (@p149 @p503) :args ((tptp.sep @t30 (tptp.sep @t26 @t165)))) % 4.83/5.02 (step @p505 :rule instantiate :premises (@p1) :args ((@list @t30 @t26 @t165))) % 4.83/5.02 (step @p506 :rule symm :premises (@p505)) % 4.83/5.02 (step @p507 :rule instantiate :premises (@p1) :args ((@list @t28 @t30 tptp.emp))) % 4.83/5.02 (step @p508 :rule instantiate :premises (@p133) :args ((@list tptp.x3 @t167))) % 4.83/5.02 (step @p509 :rule symm :premises (@p508)) % 4.83/5.02 (step @p510 :rule instantiate :premises (@p133) :args ((@list tptp.x10 @t167))) % 4.83/5.02 (step @p511 :rule symm :premises (@p510)) % 4.83/5.02 (step @p512 :rule refl :args (@t168)) % 4.83/5.02 (step @p513 :rule cong :premises (@p512 @p511) :args (@t169)) % 4.83/5.02 (step @p514 :rule eq-symm :args (@t169 @t171)) % 4.83/5.02 (step @p515 :rule cong :premises (@p53 @p514) :args ((=> @t4 @t172))) % 4.83/5.02 (assume-push @p634 @t4) % 4.83/5.02 (step @p517 :rule instantiate :premises (@p1) :args (@t173)) % 4.83/5.02 (step-pop @p635 :rule scope :premises (@p517)) % 4.83/5.02 (step @p518 :rule process_scope :premises (@p635) :args (@t172)) % 4.83/5.02 (step @p520 :rule eq_resolve :premises (@p518 @p515)) % 4.83/5.02 (step @p521 :rule implies_elim :premises (@p520)) % 4.83/5.02 (step @p522 :rule chain_m_resolution :premises (@p521 @p1) :args ((= @t171 @t169) @t59 @t60)) % 4.83/5.02 (step @p523 :rule trans :premises (@p522 @p513 @p509 @p507)) % 4.83/5.02 (step @p524 :rule refl :args (@t26)) % 4.83/5.02 (step @p525 :rule cong :premises (@p524 @p523) :args ((tptp.sep @t26 @t171))) % 4.83/5.02 (step @p517 :rule instantiate :premises (@p1) :args (@t173)) % 4.83/5.02 (step @p526 :rule symm :premises (@p513)) % 4.83/5.02 (step @p527 :rule trans :premises (@p526 @p517)) % 4.83/5.02 (step @p528 :rule cong :premises (@p524 @p527) :args ((tptp.sep @t26 @t170))) % 4.83/5.02 (step @p529 :rule instantiate :premises (@p1) :args ((@list @t168 @t26 @t167))) % 4.83/5.02 (step @p530 :rule instantiate :premises (@p1) :args ((@list @t28 @t26 @t166))) % 4.83/5.02 (step @p531 :rule instantiate :premises (@p1) :args ((@list @t30 @t26 tptp.emp))) % 4.83/5.02 (step @p532 :rule cong :premises (@p178 @p531) :args ((tptp.sep @t28 @t144))) % 4.83/5.02 (step @p533 :rule instantiate :premises (@p1) :args ((@list @t30 @t28 @t68))) % 4.83/5.02 (step @p534 :rule trans :premises (@p533 @p532 @p530)) % 4.83/5.02 (step @p535 :rule cong :premises (@p512 @p534) :args (@t174)) % 4.83/5.02 (step @p536 :rule trans :premises (@p535 @p529 @p528 @p525 @p506 @p504)) % 4.83/5.02 (step @p537 :rule cong :premises (@p114 @p536) :args ((tptp.sep @t34 @t174))) % 4.83/5.02 (step @p538 :rule instantiate :premises (@p1) :args ((@list @t168 @t34 @t70))) % 4.83/5.02 (step @p539 :rule trans :premises (@p538 @p537)) % 4.83/5.02 (step @p540 :rule cong :premises (@p364 @p539) :args (@t176)) % 4.83/5.02 (step @p541 :rule trans :premises (@p540 @p501)) % 4.83/5.02 (step @p542 :rule cong :premises (@p415 @p541) :args ((tptp.sep @t24 @t176))) % 4.83/5.02 (step @p543 :rule instantiate :premises (@p1) :args ((@list @t82 @t24 @t175))) % 4.83/5.02 (step @p544 :rule symm :premises (@p539)) % 4.83/5.02 (step @p545 :rule cong :premises (@p415 @p544) :args ((tptp.sep @t24 @t164))) % 4.83/5.02 (step @p546 :rule symm :premises (@p497)) % 4.83/5.02 (step @p547 :rule trans :premises (@p546 @p498 @p545)) % 4.83/5.02 (step @p548 :rule cong :premises (@p256 @p547) :args (@t177)) % 4.83/5.02 (step @p549 :rule eq-symm :args (@t177 @t178)) % 4.83/5.02 (step @p550 :rule cong :premises (@p53 @p549) :args ((=> @t4 @t179))) % 4.83/5.02 (assume-push @p636 @t4) % 4.83/5.02 (step @p552 :rule instantiate :premises (@p1) :args (@t180)) % 4.83/5.02 (step-pop @p637 :rule scope :premises (@p552)) % 4.83/5.02 (step @p553 :rule process_scope :premises (@p637) :args (@t179)) % 4.83/5.02 (step @p555 :rule eq_resolve :premises (@p553 @p550)) % 4.83/5.02 (step @p556 :rule implies_elim :premises (@p555)) % 4.83/5.02 (step @p557 :rule chain_m_resolution :premises (@p556 @p1) :args ((= @t178 @t177) @t59 @t60)) % 4.83/5.02 (step @p558 :rule trans :premises (@p557 @p548 @p543 @p542 @p499 @p497)) % 4.83/5.02 (step @p559 :rule cong :premises (@p65 @p558) :args ((tptp.sep @t40 @t178))) % 4.83/5.02 (step @p552 :rule instantiate :premises (@p1) :args (@t180)) % 4.83/5.02 (step @p560 :rule cong :premises (@p65 @p552) :args (@t181)) % 4.83/5.02 (step @p561 :rule instantiate :premises (@p1) :args ((@list @t38 @t40 @t162))) % 4.83/5.02 (step @p562 :rule symm :premises (@p491)) % 4.83/5.02 (step @p563 :rule cong :premises (@p65 @p496) :args ((tptp.sep @t40 @t163))) % 4.83/5.02 (step @p564 :rule instantiate :premises (@p1) :args ((@list @t40 @t24 @t70))) % 4.83/5.02 (step @p565 :rule symm :premises (@p564)) % 4.83/5.02 (step @p566 :rule trans :premises (@p565 @p563)) % 4.83/5.02 (step @p567 :rule cong :premises (@p114 @p566) :args ((tptp.sep @t34 (tptp.sep @t24 @t71)))) % 4.83/5.02 (step @p568 :rule instantiate :premises (@p1) :args ((@list @t34 @t24 @t71))) % 4.83/5.02 (step @p569 :rule symm :premises (@p568)) % 4.83/5.02 (step @p570 :rule trans :premises (@p569 @p567 @p562)) % 4.83/5.02 (step @p571 :rule cong :premises (@p438 @p570) :args ((tptp.sep @t44 @t182))) % 4.83/5.02 (step @p572 :rule symm :premises (@p567)) % 4.83/5.02 (step @p573 :rule trans :premises (@p560 @p559 @p491 @p572 @p568)) % 4.83/5.02 (step @p574 :rule cong :premises (@p39 @p573) :args (@t183)) % 4.83/5.02 (step @p575 :rule trans :premises (@p574 @p571 @p561 @p560 @p559)) % 4.83/5.02 (step @p576 :rule cong :premises (@p104 @p575) :args (@t184)) % 4.83/5.02 (step @p577 :rule trans :premises (@p576 @p492 @p490 @p488 @p485 @p483)) % 4.83/5.02 (step @p578 :rule cong :premises (@p44 @p577) :args ((tptp.sep @t45 @t184))) % 4.83/5.02 (step @p579 :rule instantiate :premises (@p1) :args ((@list @t45 @t32 @t183))) % 4.83/5.02 (step @p580 :rule symm :premises (@p579)) % 4.83/5.02 (step @p581 :rule symm :premises (@p574)) % 4.83/5.02 (step @p582 :rule symm :premises (@p571)) % 4.83/5.02 (step @p583 :rule symm :premises (@p561)) % 4.83/5.02 (step @p584 :rule symm :premises (@p560)) % 4.83/5.02 (step @p585 :rule symm :premises (@p559)) % 4.83/5.02 (step @p586 :rule trans :premises (@p569 @p567 @p562 @p585 @p584 @p583 @p582 @p581)) % 4.83/5.02 (step @p587 :rule cong :premises (@p44 @p586) :args ((tptp.sep @t45 @t182))) % 4.83/5.02 (step @p588 :rule cong :premises (@p44 @p573) :args (@t185)) % 4.83/5.02 (step @p589 :rule trans :premises (@p588 @p587)) % 4.83/5.02 (step @p590 :rule cong :premises (@p104 @p589) :args ((tptp.sep @t32 @t185))) % 4.83/5.02 (step @p591 :rule symm :premises (@p588)) % 4.83/5.02 (step @p592 :rule instantiate :premises (@p1) :args ((@list @t45 @t24 @t72))) % 4.83/5.02 (step @p593 :rule symm :premises (@p592)) % 4.83/5.02 (step @p594 :rule trans :premises (@p593 @p591)) % 4.83/5.02 (step @p595 :rule cong :premises (@p104 @p594) :args ((tptp.sep @t32 (tptp.sep @t24 @t73)))) % 4.83/5.02 (step @p596 :rule instantiate :premises (@p1) :args ((@list @t32 @t24 @t73))) % 4.83/5.02 (step @p597 :rule symm :premises (@p596)) % 4.83/5.02 (step @p598 :rule refl :args (@t74)) % 4.83/5.02 (step @p599 :rule refl :args (tptp.x16)) % 4.83/5.02 (step @p600 :rule trans :premises (@p315 @p471)) % 4.83/5.02 (step @p601 :rule cong :premises (@p600 @p599) :args ((tptp.lseg tptp.x2 tptp.x16))) % 4.83/5.02 (step @p602 :rule cong :premises (@p86 @p599) :args (@t186)) % 4.83/5.02 (step @p603 :rule trans :premises (@p602 @p601)) % 4.83/5.02 (step @p604 :rule cong :premises (@p603 @p598) :args (@t187)) % 4.83/5.02 (step @p605 :rule trans :premises (@p604 @p597 @p595 @p590 @p580 @p578 @p349 @p434 @p433 @p432 @p373 @p482 @p481 @p480 @p479 @p478 @p477 @p476 @p474 @p348 @p341)) % 4.83/5.02 (step @p606 :rule cong :premises (@p109 @p605) :args (@t188)) % 4.83/5.02 (step @p607 :rule trans :premises (@p606 @p339 @p337 @p326 @p321 @p319 @p232 @p217 @p216)) % 4.83/5.02 (step @p608 :rule cong :premises (@p607) :args (@t189)) % 4.83/5.02 (step @p609 :rule trans :premises (@p608 @p31)) % 4.83/5.02 (step @p610 :rule true_elim :premises (@p609)) % 4.83/5.02 (step @p611 :rule cnf_or_pos :args (@t192)) % 4.83/5.02 (step @p612 :rule reordering :premises (@p611) :args ((or @t63 @t190 @t191 (not @t192)))) % 4.83/5.02 (step @p613 :rule chain_m_resolution :premises (@p612 @p83 @p610 @p87) :args (@t190 @t67 (@list @t63 @t189 @t192))) % 4.83/5.02 (step @p614 :rule symm :premises (@p613)) % 4.83/5.02 (step @p615 :rule trans :premises (@p614 @p86)) % 4.83/5.02 (step @p616 :rule true_intro :premises (@p615)) % 4.83/5.02 (step @p617 :rule symm :premises (@p19)) % 4.83/5.02 (step @p618 :rule false_intro :premises (@p617)) % 4.83/5.02 (step @p619 :rule symm :premises (@p618)) % 4.83/5.02 (step @p620 :rule trans :premises (@p619 @p616)) % 4.83/5.02 (step @p621 false :rule eq_resolve :premises (@p620 @p29)) % 4.83/5.02 ) % 4.83/5.03 % SZS output end Proof % 4.83/5.03 % cvc5 exiting %------------------------------------------------------------------------------