%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP486-1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:20:48 AM UTC 2026 % Result : Unsatisfiable 277.13s 277.47s % Output : Proof 277.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP486-1 : TPTP v9.2.1. Released v2.6.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:11:58 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.34/15.53 --- Run --no-e-matching --full-saturate-quant at 6... % 21.34/21.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.34/27.57 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.45/33.66 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.46/63.69 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.57/78.71 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.57/111.74 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.59/126.77 --- Run --prenex-quant=none --full-saturate-quant at 30... % 156.58/156.79 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 171.70/171.83 --- Run --relevant-triggers --full-saturate-quant at 30... % 201.67/201.87 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 216.91/217.11 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 232.03/232.14 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 268.02/268.17 --- Run --no-cbqi --full-saturate-quant at 9... % 277.13/277.20 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant at 15... % 277.13/277.47 % SZS status Unsatisfiable % 277.13/277.47 % SZS output start Proof % 277.13/277.48 ( % 277.13/277.48 (declare-sort $$unsorted 0) % 277.13/277.48 (declare-const tptp.b3 $$unsorted) % 277.13/277.48 (declare-const tptp.c3 $$unsorted) % 277.13/277.48 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 277.13/277.48 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 277.13/277.48 (declare-const tptp.double_divide (-> $$unsorted $$unsorted $$unsorted)) % 277.13/277.48 (declare-const tptp.a3 $$unsorted) % 277.13/277.48 (declare-const tptp.identity $$unsorted) % 277.13/277.48 (define @t1 () (@var "C" $$unsorted)) % 277.13/277.48 (define @t2 () (tptp.double_divide tptp.identity tptp.identity)) % 277.13/277.48 (define @t3 () (@var "B" $$unsorted)) % 277.13/277.48 (define @t4 () (@var "A" $$unsorted)) % 277.13/277.48 (define @t5 () (tptp.double_divide (tptp.double_divide @t4 (tptp.double_divide (tptp.double_divide (tptp.double_divide @t4 @t3) @t1) (tptp.double_divide @t3 tptp.identity))) @t2)) % 277.13/277.48 (define @t6 () (@list @t4 @t3 @t1)) % 277.13/277.48 (define @t7 () (forall @t6 (= @t5 @t1))) % 277.13/277.48 (define @t8 () (forall (@list @t4 @t3) (= (tptp.multiply @t4 @t3) (tptp.double_divide (tptp.double_divide @t3 @t4) tptp.identity)))) % 277.13/277.48 (define @t9 () (tptp.double_divide @t4 tptp.identity)) % 277.13/277.48 (define @t10 () (tptp.inverse @t4)) % 277.13/277.48 (define @t11 () (@list @t4)) % 277.13/277.48 (define @t12 () (forall @t11 (= @t10 @t9))) % 277.13/277.48 (define @t13 () (tptp.double_divide @t4 @t10)) % 277.13/277.48 (define @t14 () (= tptp.identity @t13)) % 277.13/277.48 (define @t15 () (forall @t11 @t14)) % 277.13/277.48 (define @t16 () (= (tptp.multiply (tptp.multiply tptp.a3 tptp.b3) tptp.c3) (tptp.multiply tptp.a3 (tptp.multiply tptp.b3 tptp.c3)))) % 277.13/277.48 (define @t17 () (not @t16)) % 277.13/277.48 (define @t18 () (tptp.double_divide tptp.b3 tptp.identity)) % 277.13/277.48 (define @t19 () (tptp.double_divide tptp.c3 tptp.b3)) % 277.13/277.48 (define @t20 () (tptp.double_divide @t19 tptp.identity)) % 277.13/277.48 (define @t21 () (tptp.double_divide @t20 tptp.a3)) % 277.13/277.48 (define @t22 () (tptp.double_divide @t21 @t2)) % 277.13/277.48 (define @t23 () (tptp.double_divide @t19 @t22)) % 277.13/277.48 (define @t24 () (tptp.double_divide @t23 @t18)) % 277.13/277.48 (define @t25 () (tptp.double_divide @t24 tptp.identity)) % 277.13/277.48 (define @t26 () (tptp.double_divide tptp.c3 @t24)) % 277.13/277.48 (define @t27 () (tptp.double_divide @t26 tptp.identity)) % 277.13/277.48 (define @t28 () (tptp.double_divide (tptp.double_divide @t26 @t27) @t25)) % 277.13/277.48 (define @t29 () (tptp.double_divide tptp.c3 @t28)) % 277.13/277.48 (define @t30 () (tptp.double_divide @t29 @t2)) % 277.13/277.48 (define @t31 () (= @t27 @t30)) % 277.13/277.48 (define @t32 () (= @t30 @t27)) % 277.13/277.48 (define @t33 () (@var "BOUND_VARIABLE_7451" $$unsorted)) % 277.13/277.48 (define @t34 () (@var "BOUND_VARIABLE_7452" $$unsorted)) % 277.13/277.48 (define @t35 () (lambda (@list @t33 @t34) (tptp.double_divide (tptp.double_divide @t34 @t33) tptp.identity))) % 277.13/277.48 (define @t36 () (_ @t35 tptp.b3 tptp.c3)) % 277.13/277.48 (define @t37 () (_ @t35 tptp.a3 @t36)) % 277.13/277.48 (define @t38 () (tptp.double_divide tptp.b3 tptp.a3)) % 277.13/277.48 (define @t39 () (tptp.double_divide @t38 tptp.identity)) % 277.13/277.48 (define @t40 () (_ @t35 tptp.a3 tptp.b3)) % 277.13/277.48 (define @t41 () (_ @t35 @t40 tptp.c3)) % 277.13/277.48 (define @t42 () (= @t41 @t37)) % 277.13/277.48 (define @t43 () (@var "BOUND_VARIABLE_7464" $$unsorted)) % 277.13/277.48 (define @t44 () (lambda (@list @t43) (tptp.double_divide @t43 tptp.identity))) % 277.13/277.48 (define @t45 () (_ @t44 @t4)) % 277.13/277.48 (define @t46 () (tptp.double_divide @t4 @t45)) % 277.13/277.48 (define @t47 () (= tptp.identity @t46)) % 277.13/277.48 (define @t48 () (tptp.double_divide @t2 tptp.identity)) % 277.13/277.48 (define @t49 () (tptp.double_divide @t2 @t48)) % 277.13/277.48 (define @t50 () (tptp.double_divide @t49 @t2)) % 277.13/277.48 (define @t51 () (tptp.double_divide tptp.identity @t50)) % 277.13/277.48 (define @t52 () (tptp.double_divide @t51 @t2)) % 277.13/277.48 (define @t53 () (tptp.double_divide @t48 @t2)) % 277.13/277.48 (define @t54 () (tptp.double_divide @t53 @t2)) % 277.13/277.48 (define @t55 () (tptp.double_divide @t54 @t48)) % 277.13/277.48 (define @t56 () (tptp.double_divide @t48 @t55)) % 277.13/277.48 (define @t57 () (tptp.double_divide @t2 @t2)) % 277.13/277.48 (define @t58 () (tptp.double_divide @t57 tptp.b3)) % 277.13/277.48 (define @t59 () (tptp.double_divide @t58 @t48)) % 277.13/277.48 (define @t60 () (tptp.double_divide @t2 @t59)) % 277.13/277.48 (define @t61 () (tptp.double_divide @t60 tptp.identity)) % 277.13/277.48 (define @t62 () (tptp.double_divide @t61 tptp.a3)) % 277.13/277.48 (define @t63 () (tptp.double_divide @t62 @t2)) % 277.13/277.48 (define @t64 () (tptp.double_divide (tptp.double_divide @t58 @t63) @t18)) % 277.13/277.48 (define @t65 () (tptp.double_divide @t57 tptp.a3)) % 277.13/277.48 (define @t66 () (tptp.double_divide @t65 tptp.identity)) % 277.13/277.48 (define @t67 () (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a3 @t65) @t18) @t66)) % 277.13/277.48 (define @t68 () (tptp.double_divide @t66 @t67)) % 277.13/277.48 (define @t69 () (tptp.double_divide @t68 @t2)) % 277.13/277.48 (define @t70 () (tptp.double_divide @t65 @t69)) % 277.13/277.48 (define @t71 () (tptp.double_divide @t70 tptp.identity)) % 277.13/277.48 (define @t72 () (tptp.double_divide @t71 tptp.identity)) % 277.13/277.48 (define @t73 () (tptp.double_divide @t72 @t2)) % 277.13/277.48 (define @t74 () (tptp.double_divide @t70 @t73)) % 277.13/277.48 (define @t75 () (tptp.double_divide @t74 tptp.identity)) % 277.13/277.48 (define @t76 () (tptp.double_divide @t75 @t64)) % 277.13/277.48 (define @t77 () (tptp.double_divide @t76 @t2)) % 277.13/277.48 (define @t78 () (tptp.double_divide @t2 tptp.a3)) % 277.13/277.48 (define @t79 () (tptp.double_divide @t78 tptp.a3)) % 277.13/277.48 (define @t80 () (tptp.double_divide (tptp.double_divide (tptp.double_divide @t79 @t65) @t67) @t66)) % 277.13/277.48 (define @t81 () (tptp.double_divide @t79 @t80)) % 277.13/277.48 (define @t82 () (tptp.double_divide @t81 tptp.identity)) % 277.13/277.48 (define @t83 () (tptp.double_divide tptp.a3 @t67)) % 277.13/277.48 (define @t84 () (tptp.double_divide @t83 tptp.identity)) % 277.13/277.48 (define @t85 () (tptp.double_divide tptp.a3 tptp.identity)) % 277.13/277.48 (define @t86 () (tptp.double_divide @t65 @t48)) % 277.13/277.48 (define @t87 () (tptp.double_divide @t2 @t86)) % 277.13/277.48 (define @t88 () (tptp.double_divide @t87 tptp.identity)) % 277.13/277.48 (define @t89 () (tptp.double_divide @t88 tptp.identity)) % 277.13/277.48 (define @t90 () (tptp.double_divide @t89 @t2)) % 277.13/277.48 (define @t91 () (tptp.double_divide tptp.a3 @t2)) % 277.13/277.48 (define @t92 () (tptp.double_divide @t23 tptp.identity)) % 277.13/277.48 (define @t93 () (tptp.double_divide @t91 @t2)) % 277.13/277.48 (define @t94 () (tptp.double_divide @t93 @t48)) % 277.13/277.48 (define @t95 () (tptp.double_divide (tptp.double_divide @t23 @t2) @t94)) % 277.13/277.48 (define @t96 () (tptp.double_divide @t95 @t48)) % 277.13/277.48 (define @t97 () (tptp.double_divide @t23 @t96)) % 277.13/277.48 (define @t98 () (tptp.double_divide @t93 tptp.identity)) % 277.13/277.48 (define @t99 () (tptp.double_divide @t78 @t2)) % 277.13/277.48 (define @t100 () (tptp.double_divide @t48 tptp.identity)) % 277.13/277.48 (define @t101 () (tptp.double_divide @t91 tptp.identity)) % 277.13/277.48 (define @t102 () (tptp.double_divide (tptp.double_divide (tptp.double_divide @t99 @t91) @t86) @t101)) % 277.13/277.48 (define @t103 () (tptp.double_divide @t86 @t102)) % 277.13/277.48 (define @t104 () (tptp.double_divide @t103 @t100)) % 277.13/277.48 (define @t105 () (tptp.double_divide @t65 @t104)) % 277.13/277.48 (define @t106 () (tptp.double_divide @t66 @t85)) % 277.13/277.48 (define @t107 () (tptp.double_divide @t99 @t85)) % 277.13/277.48 (define @t108 () (tptp.double_divide @t98 @t2)) % 277.13/277.48 (define @t109 () (tptp.double_divide @t108 @t2)) % 277.13/277.48 (define @t110 () (tptp.double_divide @t93 @t109)) % 277.13/277.48 (define @t111 () (tptp.double_divide @t93 @t91)) % 277.13/277.48 (define @t112 () (tptp.double_divide @t111 @t86)) % 277.13/277.48 (define @t113 () (tptp.double_divide @t112 @t101)) % 277.13/277.48 (define @t114 () (tptp.double_divide @t101 @t113)) % 277.13/277.48 (define @t115 () (tptp.double_divide @t93 @t113)) % 277.13/277.48 (define @t116 () (tptp.double_divide @t65 @t66)) % 277.13/277.48 (define @t117 () (tptp.double_divide tptp.b3 @t2)) % 277.13/277.48 (define @t118 () (tptp.double_divide @t117 @t2)) % 277.13/277.48 (define @t119 () (tptp.double_divide @t18 tptp.identity)) % 277.13/277.48 (define @t120 () (tptp.double_divide @t118 @t48)) % 277.13/277.48 (define @t121 () (tptp.double_divide (tptp.double_divide @t60 @t2) @t120)) % 277.13/277.48 (define @t122 () (tptp.double_divide @t121 @t48)) % 277.13/277.48 (define @t123 () (tptp.double_divide @t60 @t122)) % 277.13/277.48 (define @t124 () (tptp.double_divide @t118 tptp.identity)) % 277.13/277.48 (define @t125 () (tptp.double_divide @t124 @t2)) % 277.13/277.48 (define @t126 () (tptp.double_divide @t125 @t2)) % 277.13/277.48 (define @t127 () (tptp.double_divide @t118 @t117)) % 277.13/277.48 (define @t128 () (tptp.double_divide @t2 tptp.b3)) % 277.13/277.48 (define @t129 () (tptp.double_divide @t128 @t2)) % 277.13/277.48 (define @t130 () (tptp.double_divide @t129 @t18)) % 277.13/277.48 (define @t131 () (tptp.double_divide @t58 tptp.identity)) % 277.13/277.48 (define @t132 () (tptp.double_divide @t131 @t2)) % 277.13/277.48 (define @t133 () (tptp.double_divide @t132 @t2)) % 277.13/277.48 (define @t134 () (tptp.double_divide @t117 tptp.identity)) % 277.13/277.48 (define @t135 () (tptp.double_divide (tptp.double_divide (tptp.double_divide @t129 @t117) @t59) @t134)) % 277.13/277.48 (define @t136 () (tptp.double_divide @t59 @t135)) % 277.13/277.48 (define @t137 () (tptp.double_divide @t136 @t100)) % 277.13/277.48 (define @t138 () (tptp.double_divide @t58 @t137)) % 277.13/277.48 (define @t139 () (tptp.double_divide @t61 tptp.identity)) % 277.13/277.48 (define @t140 () (tptp.double_divide @t139 @t2)) % 277.13/277.48 (define @t141 () (tptp.double_divide @t127 @t59)) % 277.13/277.48 (define @t142 () (tptp.double_divide @t141 @t134)) % 277.13/277.48 (define @t143 () (tptp.double_divide @t134 @t142)) % 277.13/277.48 (define @t144 () (tptp.double_divide @t118 @t142)) % 277.13/277.48 (define @t145 () (tptp.double_divide @t58 @t131)) % 277.13/277.48 (define @t146 () (tptp.double_divide @t128 tptp.b3)) % 277.13/277.48 (define @t147 () (tptp.double_divide @t146 @t18)) % 277.13/277.48 (define @t148 () (tptp.double_divide @t57 tptp.identity)) % 277.13/277.48 (define @t149 () (tptp.double_divide @t148 @t147)) % 277.13/277.48 (define @t150 () (tptp.double_divide @t149 @t2)) % 277.13/277.48 (define @t151 () (tptp.double_divide @t57 @t150)) % 277.13/277.48 (define @t152 () (tptp.double_divide @t146 @t117)) % 277.13/277.48 (define @t153 () (tptp.double_divide @t152 @t18)) % 277.13/277.48 (define @t154 () (tptp.double_divide @t153 @t134)) % 277.13/277.48 (define @t155 () (tptp.double_divide @t146 @t154)) % 277.13/277.48 (define @t156 () (tptp.double_divide @t60 @t63)) % 277.13/277.48 (define @t157 () (tptp.double_divide @t106 @t2)) % 277.13/277.48 (define @t158 () (tptp.double_divide @t65 @t157)) % 277.13/277.48 (define @t159 () (tptp.double_divide @t158 @t85)) % 277.13/277.48 (define @t160 () (tptp.double_divide @t79 @t85)) % 277.13/277.48 (define @t161 () (tptp.double_divide @t148 @t160)) % 277.13/277.48 (define @t162 () (tptp.double_divide @t161 @t2)) % 277.13/277.48 (define @t163 () (tptp.double_divide @t57 @t162)) % 277.13/277.48 (define @t164 () (tptp.double_divide @t79 @t91)) % 277.13/277.48 (define @t165 () (tptp.double_divide @t164 @t85)) % 277.13/277.48 (define @t166 () (tptp.double_divide @t165 @t101)) % 277.13/277.48 (define @t167 () (tptp.double_divide @t79 @t166)) % 277.13/277.48 (define @t168 () (tptp.double_divide @t146 (tptp.double_divide (tptp.double_divide @t152 @t2) @t134))) % 277.13/277.48 (define @t169 () (tptp.double_divide @t168 (tptp.double_divide (tptp.double_divide (tptp.double_divide @t168 tptp.identity) tptp.b3) @t2))) % 277.13/277.48 (define @t170 () (tptp.double_divide @t169 tptp.identity)) % 277.13/277.48 (define @t171 () (tptp.double_divide @t170 tptp.a3)) % 277.13/277.48 (define @t172 () (tptp.double_divide tptp.a3 @t38)) % 277.13/277.48 (define @t173 () (tptp.double_divide @t172 @t2)) % 277.13/277.48 (define @t174 () (tptp.double_divide @t173 @t39)) % 277.13/277.48 (define @t175 () (tptp.double_divide tptp.a3 @t174)) % 277.13/277.48 (define @t176 () (tptp.double_divide @t58 tptp.b3)) % 277.13/277.48 (define @t177 () (tptp.double_divide @t176 tptp.a3)) % 277.13/277.48 (define @t178 () (tptp.double_divide @t177 @t18)) % 277.13/277.48 (define @t179 () (tptp.double_divide @t58 @t178)) % 277.13/277.48 (define @t180 () (tptp.double_divide @t39 tptp.identity)) % 277.13/277.48 (define @t181 () (tptp.double_divide (tptp.double_divide (tptp.double_divide @t60 @t39) @t69) @t180)) % 277.13/277.48 (define @t182 () (tptp.double_divide @t18 @t181)) % 277.13/277.48 (define @t183 () (tptp.double_divide @t182 @t2)) % 277.13/277.48 (define @t184 () (tptp.double_divide tptp.b3 @t183)) % 277.13/277.48 (define @t185 () (tptp.double_divide @t74 @t77)) % 277.13/277.48 (define @t186 () (tptp.double_divide @t185 @t2)) % 277.13/277.48 (define @t187 () (tptp.double_divide @t57 @t64)) % 277.13/277.48 (define @t188 () (tptp.double_divide @t187 tptp.identity)) % 277.13/277.48 (define @t189 () (tptp.double_divide (tptp.double_divide (tptp.double_divide @t57 @t39) @t188) @t180)) % 277.13/277.48 (define @t190 () (tptp.double_divide @t148 @t189)) % 277.13/277.48 (define @t191 () (tptp.double_divide @t190 @t2)) % 277.13/277.48 (define @t192 () (tptp.double_divide @t57 @t191)) % 277.13/277.48 (define @t193 () (tptp.double_divide @t75 @t80)) % 277.13/277.48 (define @t194 () (tptp.double_divide @t193 @t2)) % 277.13/277.48 (define @t195 () (tptp.double_divide @t23 (tptp.double_divide (tptp.double_divide @t92 @t67) @t2))) % 277.13/277.48 (define @t196 () (forall @t6 (= @t1 @t5))) % 277.13/277.48 (assume @p1 @t7) % 277.13/277.48 (assume @p2 @t8) % 277.13/277.48 (assume @p3 @t12) % 277.13/277.48 (assume @p4 @t15) % 277.13/277.48 (assume @p5 @t17) % 277.13/277.48 (step @p6 :rule eq-symm :args (@t5 @t1)) % 277.13/277.48 (step @p7 :rule cong :premises (@p6) :args (@t7)) % 277.13/277.48 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 277.13/277.48 (step @p9 :rule bool-eq-false :args (@t31)) % 277.13/277.48 (step @p10 :rule symm :premises (@p9)) % 277.13/277.48 (step @p11 :rule eq-symm :args (@t30 @t27)) % 277.13/277.48 (step @p12 :rule cong :premises (@p11) :args ((not @t32))) % 277.13/277.48 (step @p13 :rule bool-eq-false :args (@t32)) % 277.13/277.48 (step @p14 :rule trans :premises (@p13 @p12)) % 277.13/277.48 (step @p15 :rule trans :premises (@p14 @p10)) % 277.13/277.48 (step @p16 :rule beta-reduce :args ((= (_ @t35 tptp.a3 @t20) (tptp.double_divide @t21 tptp.identity)))) % 277.13/277.48 (step @p17 :rule beta-reduce :args ((= @t36 @t20))) % 277.13/277.48 (step @p18 :rule refl :args (tptp.a3)) % 277.13/277.48 (step @p19 :rule cong :premises (@p18 @p17) :args (@t37)) % 277.13/277.48 (step @p20 :rule trans :premises (@p19 @p16)) % 277.13/277.48 (step @p21 :rule beta-reduce :args ((= (_ @t35 @t39 tptp.c3) (tptp.double_divide (tptp.double_divide tptp.c3 @t39) tptp.identity)))) % 277.13/277.48 (step @p22 :rule refl :args (tptp.c3)) % 277.13/277.48 (step @p23 :rule beta-reduce :args ((= @t40 @t39))) % 277.13/277.48 (step @p24 :rule cong :premises (@p23 @p22) :args (@t41)) % 277.13/277.48 (step @p25 :rule trans :premises (@p24 @p21)) % 277.13/277.48 (step @p26 :rule cong :premises (@p25 @p20) :args (@t42)) % 277.13/277.48 (step @p27 :rule cong :premises (@p26) :args ((not @t42))) % 277.13/277.48 (step @p28 :rule refl :args (tptp.b3)) % 277.13/277.48 ; WARNING: add trust step for TRUST % 277.13/277.48 ; trust TRUST SUBS_EQ % 277.13/277.48 (step @p29 :rule trust :premises () :args ((= @t8 (= tptp.multiply @t35)))) % 277.13/277.48 (step @p30 :rule eq_resolve :premises (@p2 @p29)) % 277.13/277.48 (step @p31 :rule ho_cong :premises (@p30 @p28 @p22)) % 277.13/277.48 (step @p32 :rule ho_cong :premises (@p30 @p18 @p31)) % 277.13/277.48 (step @p33 :rule ho_cong :premises (@p30 @p18 @p28)) % 277.13/277.48 (step @p34 :rule ho_cong :premises (@p30 @p33 @p22)) % 277.13/277.48 (step @p35 :rule cong :premises (@p34 @p32) :args (@t16)) % 277.13/277.48 (step @p36 :rule cong :premises (@p35) :args (@t17)) % 277.13/277.48 (step @p37 :rule trans :premises (@p36 @p27)) % 277.13/277.48 (step @p38 :rule eq_resolve :premises (@p5 @p37)) % 277.13/277.48 (step @p39 :rule false_intro :premises (@p38)) % 277.13/277.48 (step @p40 :rule beta-reduce :args ((= @t45 @t9))) % 277.13/277.48 (step @p41 :rule refl :args (@t4)) % 277.13/277.48 (step @p42 :rule cong :premises (@p41 @p40) :args (@t46)) % 277.13/277.48 (step @p43 :rule refl :args (tptp.identity)) % 277.13/277.48 (step @p44 :rule cong :premises (@p43 @p42) :args (@t47)) % 277.13/277.48 (step @p45 :rule cong :premises (@p44) :args ((forall @t11 @t47))) % 277.13/277.48 ; trust TRUST SUBS_EQ % 277.13/277.48 (step @p46 :rule trust :premises () :args ((= @t12 (= tptp.inverse @t44)))) % 277.13/277.48 (step @p47 :rule eq_resolve :premises (@p3 @p46)) % 277.13/277.48 (step @p48 :rule ho_cong :premises (@p47 @p41)) % 277.13/277.48 (step @p49 :rule cong :premises (@p41 @p48) :args (@t13)) % 277.13/277.48 (step @p50 :rule cong :premises (@p43 @p49) :args (@t14)) % 277.13/277.48 (step @p51 :rule cong :premises (@p50) :args (@t15)) % 277.13/277.48 (step @p52 :rule trans :premises (@p51 @p45)) % 277.13/277.48 (step @p53 :rule eq_resolve :premises (@p4 @p52)) % 277.13/277.48 (step @p54 :rule instantiate :premises (@p53) :args ((@list tptp.identity))) % 277.13/277.48 (step @p55 :rule symm :premises (@p54)) % 277.13/277.48 (step @p56 :rule refl :args (@t2)) % 277.13/277.48 (step @p57 :rule instantiate :premises (@p53) :args ((@list @t2))) % 277.13/277.48 (step @p58 :rule symm :premises (@p57)) % 277.13/277.48 (step @p59 :rule cong :premises (@p58 @p56) :args (@t50)) % 277.13/277.48 (step @p60 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t2 tptp.identity))) % 277.13/277.48 (step @p61 :rule symm :premises (@p60)) % 277.13/277.48 (step @p62 :rule refl :args (@t48)) % 277.13/277.48 (step @p63 :rule cong :premises (@p54 @p43) :args (@t2)) % 277.13/277.48 (step @p64 :rule cong :premises (@p63 @p62) :args (@t49)) % 277.13/277.48 (step @p65 :rule trans :premises (@p57 @p64)) % 277.13/277.48 (step @p66 :rule cong :premises (@p43 @p65) :args (@t2)) % 277.13/277.48 (step @p67 :rule trans :premises (@p59 @p55)) % 277.13/277.48 (step @p68 :rule cong :premises (@p43 @p67) :args (@t51)) % 277.13/277.48 (step @p69 :rule trans :premises (@p68 @p66)) % 277.13/277.48 (step @p70 :rule cong :premises (@p69 @p56) :args (@t52)) % 277.13/277.48 (step @p71 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t48))) % 277.13/277.48 (step @p72 :rule trans :premises (@p71 @p70 @p61)) % 277.13/277.48 (step @p73 :rule trans :premises (@p72 @p57)) % 277.13/277.48 (step @p74 :rule cong :premises (@p73 @p56) :args (@t53)) % 277.13/277.48 (step @p75 :rule trans :premises (@p74 @p59 @p55)) % 277.13/277.48 (step @p76 :rule trans :premises (@p75 @p57)) % 277.13/277.48 (step @p77 :rule cong :premises (@p76 @p56) :args (@t54)) % 277.13/277.48 (step @p78 :rule trans :premises (@p77 @p59 @p55)) % 277.13/277.48 (step @p79 :rule cong :premises (@p78 @p72) :args (@t55)) % 277.13/277.48 (step @p80 :rule cong :premises (@p73 @p79) :args (@t56)) % 277.13/277.48 (step @p81 :rule trans :premises (@p80 @p59 @p55)) % 277.13/277.48 (step @p82 :rule trans :premises (@p81 @p57)) % 277.13/277.48 (step @p83 :rule cong :premises (@p82 @p56) :args ((tptp.double_divide @t56 @t2))) % 277.13/277.48 (step @p84 :rule instantiate :premises (@p8) :args ((@list @t48 @t2 @t2))) % 277.13/277.48 (step @p85 :rule trans :premises (@p84 @p83 @p59 @p55)) % 277.13/277.48 (step @p86 :rule refl :args (@t21)) % 277.13/277.48 (step @p87 :rule cong :premises (@p86 @p85) :args (@t22)) % 277.13/277.48 (step @p88 :rule instantiate :premises (@p8) :args ((@list tptp.c3 tptp.b3 @t22))) % 277.13/277.48 (step @p89 :rule symm :premises (@p88)) % 277.13/277.48 (step @p90 :rule symm :premises (@p85)) % 277.13/277.48 (step @p91 :rule refl :args (@t26)) % 277.13/277.48 (step @p92 :rule cong :premises (@p91 @p90) :args (@t27)) % 277.13/277.48 (step @p93 :rule trans :premises (@p92 @p89 @p87)) % 277.13/277.48 (step @p94 :rule instantiate :premises (@p8) :args ((@list @t2 @t2 tptp.b3))) % 277.13/277.48 (step @p95 :rule symm :premises (@p94)) % 277.13/277.48 (step @p96 :rule refl :args (@t60)) % 277.13/277.48 (step @p97 :rule cong :premises (@p96 @p90) :args (@t61)) % 277.13/277.48 (step @p98 :rule trans :premises (@p97 @p95)) % 277.13/277.48 (step @p99 :rule cong :premises (@p98 @p18) :args (@t62)) % 277.13/277.48 (step @p100 :rule cong :premises (@p99 @p85) :args (@t63)) % 277.13/277.48 (step @p101 :rule instantiate :premises (@p8) :args ((@list @t57 tptp.b3 @t63))) % 277.13/277.48 (step @p102 :rule symm :premises (@p101)) % 277.13/277.48 (step @p103 :rule refl :args (@t64)) % 277.13/277.48 (step @p104 :rule cong :premises (@p68 @p56) :args (@t52)) % 277.13/277.48 (step @p105 :rule symm :premises (@p70)) % 277.13/277.48 (step @p106 :rule trans :premises (@p60 @p105 @p104)) % 277.13/277.48 (step @p107 :rule instantiate :premises (@p8) :args ((@list @t70 tptp.identity tptp.identity))) % 277.13/277.48 (step @p108 :rule symm :premises (@p107)) % 277.13/277.48 (step @p109 :rule refl :args (@t74)) % 277.13/277.48 (step @p110 :rule cong :premises (@p109 @p90) :args (@t75)) % 277.13/277.48 (step @p111 :rule trans :premises (@p110 @p108)) % 277.13/277.48 (step @p112 :rule trans :premises (@p111 @p106)) % 277.13/277.48 (step @p113 :rule cong :premises (@p112 @p103) :args (@t76)) % 277.13/277.48 (step @p114 :rule cong :premises (@p113 @p56) :args (@t77)) % 277.13/277.48 (step @p115 :rule symm :premises (@p113)) % 277.13/277.48 (step @p116 :rule instantiate :premises (@p53) :args ((@list @t81))) % 277.13/277.48 (step @p117 :rule symm :premises (@p116)) % 277.13/277.48 (step @p118 :rule trans :premises (@p117 @p106)) % 277.13/277.48 (step @p119 :rule cong :premises (@p118 @p103) :args ((tptp.double_divide (tptp.double_divide @t81 @t82) @t64))) % 277.13/277.48 (step @p120 :rule instantiate :premises (@p8) :args ((@list tptp.a3 @t65 @t18))) % 277.13/277.48 (step @p121 :rule symm :premises (@p120)) % 277.13/277.48 (step @p122 :rule refl :args (@t83)) % 277.13/277.48 (step @p123 :rule cong :premises (@p122 @p90) :args (@t84)) % 277.13/277.48 (step @p124 :rule refl :args (@t67)) % 277.13/277.48 (step @p125 :rule instantiate :premises (@p8) :args ((@list tptp.a3 @t85 tptp.a3))) % 277.13/277.48 (step @p126 :rule symm :premises (@p125)) % 277.13/277.48 (step @p127 :rule instantiate :premises (@p8) :args ((@list @t2 @t2 tptp.a3))) % 277.13/277.48 (step @p128 :rule symm :premises (@p127)) % 277.13/277.48 (step @p129 :rule refl :args (@t87)) % 277.13/277.48 (step @p130 :rule cong :premises (@p129 @p90) :args (@t88)) % 277.13/277.48 (step @p131 :rule trans :premises (@p130 @p128)) % 277.13/277.48 (step @p132 :rule cong :premises (@p131 @p43) :args (@t89)) % 277.13/277.48 (step @p133 :rule cong :premises (@p132 @p85) :args (@t90)) % 277.13/277.48 (step @p134 :rule cong :premises (@p18 @p85) :args (@t91)) % 277.13/277.48 (step @p135 :rule symm :premises (@p134)) % 277.13/277.48 (step @p136 :rule trans :premises (@p132 @p135)) % 277.13/277.48 (step @p137 :rule symm :premises (@p136)) % 277.13/277.48 (step @p138 :rule instantiate :premises (@p8) :args ((@list @t19 tptp.identity tptp.a3))) % 277.13/277.48 (step @p139 :rule symm :premises (@p138)) % 277.13/277.48 (step @p140 :rule refl :args (@t23)) % 277.13/277.48 (step @p141 :rule cong :premises (@p140 @p90) :args (@t92)) % 277.13/277.48 (step @p142 :rule instantiate :premises (@p8) :args ((@list tptp.a3 @t2 @t2))) % 277.13/277.48 (step @p143 :rule symm :premises (@p142)) % 277.13/277.48 (step @p144 :rule symm :premises (@p84)) % 277.13/277.48 (step @p145 :rule symm :premises (@p83)) % 277.13/277.48 (step @p146 :rule symm :premises (@p59)) % 277.13/277.48 (step @p147 :rule trans :premises (@p71 @p70 @p61 @p54 @p146 @p145 @p144)) % 277.13/277.48 (step @p148 :rule refl :args (@t94)) % 277.13/277.48 (step @p149 :rule cong :premises (@p139 @p148) :args (@t95)) % 277.13/277.48 (step @p150 :rule cong :premises (@p149 @p147) :args (@t96)) % 277.13/277.48 (step @p151 :rule trans :premises (@p150 @p143 @p84 @p83 @p59 @p55)) % 277.13/277.48 (step @p152 :rule cong :premises (@p140 @p151) :args (@t97)) % 277.13/277.48 (step @p153 :rule trans :premises (@p152 @p141 @p139)) % 277.13/277.48 (step @p154 :rule cong :premises (@p153 @p85) :args ((tptp.double_divide @t97 @t2))) % 277.13/277.48 (step @p155 :rule instantiate :premises (@p8) :args ((@list @t23 @t2 @t94))) % 277.13/277.48 (step @p156 :rule symm :premises (@p72)) % 277.13/277.48 (step @p157 :rule refl :args (@t93)) % 277.13/277.48 (step @p158 :rule cong :premises (@p157 @p156) :args (@t98)) % 277.13/277.48 (step @p159 :rule instantiate :premises (@p53) :args ((@list @t65))) % 277.13/277.48 (step @p160 :rule symm :premises (@p159)) % 277.13/277.48 (step @p161 :rule refl :args (@t65)) % 277.13/277.48 (step @p162 :rule cong :premises (@p161 @p72) :args (@t86)) % 277.13/277.48 (step @p163 :rule instantiate :premises (@p8) :args ((@list @t99 @t91 @t86))) % 277.13/277.48 (step @p164 :rule symm :premises (@p163)) % 277.13/277.48 (step @p165 :rule cong :premises (@p72 @p43) :args (@t100)) % 277.13/277.48 (step @p166 :rule refl :args (@t102)) % 277.13/277.48 (step @p167 :rule symm :premises (@p106)) % 277.13/277.48 (step @p168 :rule trans :premises (@p167 @p90)) % 277.13/277.48 (step @p169 :rule cong :premises (@p168 @p18) :args (@t65)) % 277.13/277.48 (step @p170 :rule cong :premises (@p169 @p90) :args (@t66)) % 277.13/277.48 (step @p171 :rule trans :premises (@p162 @p170)) % 277.13/277.48 (step @p172 :rule cong :premises (@p171 @p166) :args (@t103)) % 277.13/277.48 (step @p173 :rule cong :premises (@p172 @p165) :args (@t104)) % 277.13/277.48 (step @p174 :rule trans :premises (@p173 @p164 @p162)) % 277.13/277.48 (step @p175 :rule cong :premises (@p161 @p174) :args (@t105)) % 277.13/277.48 (step @p176 :rule trans :premises (@p175 @p160)) % 277.13/277.48 (step @p177 :rule cong :premises (@p176 @p85) :args ((tptp.double_divide @t105 @t2))) % 277.13/277.48 (step @p178 :rule instantiate :premises (@p8) :args ((@list @t65 @t48 @t102))) % 277.13/277.48 (step @p179 :rule cong :premises (@p136 @p85) :args (@t90)) % 277.13/277.48 (step @p180 :rule refl :args (@t86)) % 277.13/277.48 (step @p181 :rule cong :premises (@p170 @p135) :args (@t106)) % 277.13/277.48 (step @p182 :rule refl :args (@t85)) % 277.13/277.48 (step @p183 :rule symm :premises (@p170)) % 277.13/277.48 (step @p184 :rule cong :premises (@p183 @p182) :args (@t107)) % 277.13/277.48 (step @p185 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t107))) % 277.13/277.48 (step @p186 :rule symm :premises (@p185)) % 277.13/277.48 (step @p187 :rule instantiate :premises (@p8) :args ((@list @t2 tptp.a3 @t2))) % 277.13/277.48 (step @p188 :rule trans :premises (@p54 @p146 @p145 @p144 @p187)) % 277.13/277.48 (step @p189 :rule cong :premises (@p43 @p188) :args (@t2)) % 277.13/277.48 (step @p190 :rule trans :premises (@p54 @p146 @p145 @p144 @p189)) % 277.13/277.48 (step @p191 :rule cong :premises (@p190 @p90) :args (@t2)) % 277.13/277.48 (step @p192 :rule trans :premises (@p54 @p146 @p145 @p144 @p191 @p186 @p184 @p181)) % 277.13/277.48 (step @p193 :rule trans :premises (@p85 @p192)) % 277.13/277.48 (step @p194 :rule cong :premises (@p193 @p180) :args (@t87)) % 277.13/277.48 (step @p195 :rule cong :premises (@p194 @p179) :args ((tptp.double_divide @t87 @t90))) % 277.13/277.48 (step @p196 :rule symm :premises (@p179)) % 277.13/277.48 (step @p197 :rule instantiate :premises (@p53) :args ((@list @t93))) % 277.13/277.48 (step @p198 :rule symm :premises (@p197)) % 277.13/277.48 (step @p199 :rule cong :premises (@p136 @p56) :args (@t90)) % 277.13/277.48 (step @p200 :rule trans :premises (@p158 @p155 @p154 @p135)) % 277.13/277.48 (step @p201 :rule trans :premises (@p200 @p137)) % 277.13/277.48 (step @p202 :rule cong :premises (@p201 @p56) :args (@t108)) % 277.13/277.48 (step @p203 :rule trans :premises (@p202 @p199)) % 277.13/277.48 (step @p204 :rule cong :premises (@p203 @p85) :args (@t109)) % 277.13/277.48 (step @p205 :rule cong :premises (@p157 @p204) :args (@t110)) % 277.13/277.48 (step @p206 :rule symm :premises (@p204)) % 277.13/277.48 (step @p207 :rule symm :premises (@p158)) % 277.13/277.48 (step @p208 :rule symm :premises (@p155)) % 277.13/277.48 (step @p209 :rule symm :premises (@p154)) % 277.13/277.48 (step @p210 :rule trans :premises (@p134 @p209 @p208 @p207 @p206)) % 277.13/277.48 (step @p211 :rule cong :premises (@p157 @p210) :args (@t111)) % 277.13/277.48 (step @p212 :rule trans :premises (@p211 @p205 @p198)) % 277.13/277.48 (step @p213 :rule trans :premises (@p212 @p90)) % 277.13/277.48 (step @p214 :rule cong :premises (@p213 @p180) :args (@t112)) % 277.13/277.48 (step @p215 :rule cong :premises (@p214 @p196) :args (@t113)) % 277.13/277.48 (step @p216 :rule trans :premises (@p215 @p195 @p178 @p177 @p84 @p83 @p59 @p55)) % 277.13/277.48 (step @p217 :rule trans :premises (@p196 @p199)) % 277.13/277.48 (step @p218 :rule cong :premises (@p217 @p216) 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:premises (@p448)) % 277.13/277.48 (step @p475 :rule trans :premises (@p183 @p474 @p473 @p472 @p471)) % 277.13/277.48 (step @p476 :rule symm :premises (@p420)) % 277.13/277.48 (step @p477 :rule trans :premises (@p476 @p475)) % 277.13/277.48 (step @p478 :rule cong :premises (@p477 @p90) :args (@t98)) % 277.13/277.48 (step @p479 :rule trans :premises (@p204 @p478 @p459 @p457 @p436 @p432)) % 277.13/277.48 (step @p480 :rule trans :premises (@p476 @p238)) % 277.13/277.48 (step @p481 :rule cong :premises (@p480 @p479) :args (@t110)) % 277.13/277.48 (step @p482 :rule symm :premises (@p205)) % 277.13/277.48 (step @p483 :rule trans :premises (@p197 @p482 @p481)) % 277.13/277.48 (step @p484 :rule trans :premises (@p391 @p483)) % 277.13/277.48 (step @p485 :rule cong :premises (@p484 @p248) :args (@t152)) % 277.13/277.48 (step @p486 :rule trans :premises (@p284 @p400 @p399 @p398 @p485)) % 277.13/277.48 (step @p487 :rule symm :premises (@p353)) % 277.13/277.48 (step @p488 :rule trans :premises (@p276 @p487 @p359 @p358 @p357 @p309 @p313)) % 277.13/277.48 (step @p489 :rule instantiate :premises (@p8) :args ((@list @t168 tptp.identity tptp.b3))) % 277.13/277.48 (step @p490 :rule symm :premises (@p489)) % 277.13/277.48 (step @p491 :rule refl :args (@t169)) % 277.13/277.48 (step @p492 :rule cong :premises (@p491 @p90) :args (@t170)) % 277.13/277.48 (step @p493 :rule trans :premises (@p492 @p490)) % 277.13/277.48 (step @p494 :rule trans :premises (@p493 @p488 @p486)) % 277.13/277.48 (step @p495 :rule cong :premises (@p494 @p418) :args (@t171)) % 277.13/277.48 (step @p496 :rule symm :premises (@p493)) % 277.13/277.48 (step @p497 :rule cong :premises (@p496 @p18) :args (@t38)) % 277.13/277.48 (step @p498 :rule trans :premises (@p497 @p495)) % 277.13/277.48 (step @p499 :rule cong :premises (@p18 @p498) :args (@t172)) % 277.13/277.48 (step @p500 :rule cong :premises (@p499 @p85) :args (@t173)) % 277.13/277.48 (step @p501 :rule trans :premises (@p500 @p123 @p121 @p246)) % 277.13/277.48 (step @p502 :rule trans :premises (@p501 @p417 @p367 @p412)) % 277.13/277.48 (step @p503 :rule cong :premises (@p502 @p416) :args (@t174)) % 277.13/277.48 (step @p504 :rule instantiate :premises (@p8) :args ((@list @t23 @t2 @t174))) % 277.13/277.48 (step @p505 :rule symm :premises (@p504)) % 277.13/277.48 (step @p506 :rule symm :premises (@p147)) % 277.13/277.48 (step @p507 :rule refl :args (@t174)) % 277.13/277.48 (step @p508 :rule cong :premises (@p138 @p507) :args (@t175)) % 277.13/277.48 (step @p509 :rule cong :premises (@p508 @p506) :args ((tptp.double_divide @t175 @t2))) % 277.13/277.48 (step @p510 :rule instantiate :premises (@p8) :args ((@list tptp.a3 @t38 @t2))) % 277.13/277.48 (step @p511 :rule trans :premises (@p54 @p146 @p145 @p144 @p510 @p509)) % 277.13/277.48 (step @p512 :rule cong :premises (@p140 @p511) :args (@t92)) % 277.13/277.48 (step @p513 :rule symm :premises (@p141)) % 277.13/277.48 (step @p514 :rule trans :premises (@p183 @p227 @p226 @p225 @p221 @p237 @p126 @p138 @p513 @p512)) % 277.13/277.48 (step @p515 :rule trans :premises (@p476 @p514)) % 277.13/277.48 (step @p516 :rule cong :premises (@p515 @p90) :args (@t98)) % 277.13/277.48 (step @p517 :rule trans :premises (@p134 @p209 @p208 @p207 @p516 @p505 @p503 @p415)) % 277.13/277.48 (step @p518 :rule symm :premises (@p478)) % 277.13/277.48 (step @p519 :rule symm :premises (@p457)) % 277.13/277.48 (step @p520 :rule symm :premises (@p436)) % 277.13/277.48 (step @p521 :rule symm :premises (@p432)) % 277.13/277.48 (step @p522 :rule trans :premises (@p521 @p520 @p519 @p458 @p518 @p158 @p155 @p154 @p135)) % 277.13/277.48 (step @p523 :rule trans :premises (@p522 @p517)) % 277.13/277.48 (step @p524 :rule cong :premises (@p523 @p242) :args (@t70)) % 277.13/277.48 (step @p525 :rule symm :premises (@p242)) % 277.13/277.48 (step @p526 :rule symm :premises (@p522)) % 277.13/277.48 (step @p527 :rule symm :premises (@p433)) % 277.13/277.48 (step @p528 :rule symm :premises (@p385)) % 277.13/277.48 (step @p529 :rule cong :premises (@p296 @p528) :args (@t176)) % 277.13/277.48 (step @p530 :rule trans :premises (@p529 @p307)) % 277.13/277.48 (step @p531 :rule trans :premises (@p530 @p90)) % 277.13/277.48 (step @p532 :rule cong :premises (@p531 @p527) :args (@t177)) % 277.13/277.48 (step @p533 :rule trans :premises (@p532 @p519 @p458 @p518 @p158 @p155 @p154 @p135)) % 277.13/277.48 (step @p534 :rule trans :premises (@p533 @p526)) % 277.13/277.48 (step @p535 :rule cong :premises (@p534 @p525) :args (@t178)) % 277.13/277.48 (step @p536 :rule instantiate :premises (@p8) :args ((@list tptp.b3 tptp.identity @t178))) % 277.13/277.48 (step @p537 :rule symm :premises (@p536)) % 277.13/277.48 (step @p538 :rule refl :args (@t178)) % 277.13/277.48 (step @p539 :rule symm :premises (@p405)) % 277.13/277.48 (step @p540 :rule trans :premises (@p539 @p248)) % 277.13/277.48 (step @p541 :rule cong :premises (@p540 @p538) :args (@t179)) % 277.13/277.48 (step @p542 :rule cong :premises (@p541 @p56) :args ((tptp.double_divide @t179 @t2))) % 277.13/277.48 (step @p543 :rule instantiate :premises (@p8) :args ((@list @t58 tptp.b3 tptp.a3))) % 277.13/277.48 (step @p544 :rule trans :premises (@p543 @p542)) % 277.13/277.48 (step @p545 :rule cong :premises (@p493 @p544) :args (@t171)) % 277.13/277.48 (step @p546 :rule trans :premises (@p497 @p545)) % 277.13/277.48 (step @p547 :rule cong :premises (@p546 @p90) :args (@t39)) % 277.13/277.48 (step @p548 :rule trans :premises (@p114 @p102 @p100 @p547 @p537 @p535 @p524)) % 277.13/277.48 (step @p549 :rule instantiate :premises (@p8) :args ((@list @t60 @t39 @t69))) % 277.13/277.48 (step @p550 :rule symm :premises (@p549)) % 277.13/277.48 (step @p551 :rule refl :args (@t181)) % 277.13/277.48 (step @p552 :rule trans :premises (@p248 @p270 @p269 @p268 @p404 @p383 @p381)) % 277.13/277.48 (step @p553 :rule trans :premises (@p246 @p552)) % 277.13/277.48 (step @p554 :rule cong :premises (@p553 @p551) :args (@t182)) % 277.13/277.48 (step @p555 :rule cong :premises (@p554 @p56) :args (@t183)) % 277.13/277.48 (step @p556 :rule trans :premises (@p555 @p550 @p241 @p123 @p121 @p270 @p269 @p268 @p267)) % 277.13/277.48 (step @p557 :rule trans :premises (@p488 @p362)) % 277.13/277.48 (step @p558 :rule cong :premises (@p557 @p556) :args (@t184)) % 277.13/277.48 (step @p559 :rule trans :premises (@p558 @p266 @p245)) % 277.13/277.48 (step @p560 :rule cong :premises (@p559 @p85) :args ((tptp.double_divide @t184 @t2))) % 277.13/277.48 (step @p561 :rule instantiate :premises (@p8) :args ((@list tptp.b3 tptp.identity @t181))) % 277.13/277.48 (step @p562 :rule symm :premises (@p497)) % 277.13/277.48 (step @p563 :rule symm :premises (@p495)) % 277.13/277.48 (step @p564 :rule instantiate :premises (@p8) :args ((@list @t65 tptp.identity @t67))) % 277.13/277.48 (step @p565 :rule symm :premises (@p564)) % 277.13/277.48 (step @p566 :rule refl :args (@t70)) % 277.13/277.48 (step @p567 :rule cong :premises (@p566 @p90) :args (@t71)) % 277.13/277.48 (step @p568 :rule trans :premises (@p567 @p565 @p563 @p562)) % 277.13/277.48 (step @p569 :rule cong :premises (@p568 @p43) :args (@t72)) % 277.13/277.48 (step @p570 :rule cong :premises (@p569 @p85) :args (@t73)) % 277.13/277.48 (step @p571 :rule refl :args (@t69)) % 277.13/277.48 (step @p572 :rule cong :premises (@p96 @p100) :args (@t156)) % 277.13/277.48 (step @p573 :rule trans :premises (@p134 @p209 @p208 @p207 @p516 @p505 @p503 @p572)) % 277.13/277.48 (step @p574 :rule trans :premises (@p522 @p573)) % 277.13/277.48 (step @p575 :rule cong :premises (@p574 @p571) :args (@t70)) % 277.13/277.48 (step @p576 :rule cong :premises (@p575 @p570) :args (@t74)) % 277.13/277.48 (step @p577 :rule refl :args (@t73)) % 277.13/277.48 (step @p578 :rule symm :premises (@p524)) % 277.13/277.48 (step @p579 :rule instantiate :premises (@p8) :args ((@list @t74 tptp.identity @t64))) % 277.13/277.48 (step @p580 :rule symm :premises (@p579)) % 277.13/277.48 (step @p581 :rule trans :premises (@p580 @p578)) % 277.13/277.48 (step @p582 :rule cong :premises (@p581 @p577) :args ((tptp.double_divide @t186 @t73))) % 277.13/277.48 (step @p583 :rule trans :premises (@p582 @p576 @p561 @p560 @p84 @p83 @p59 @p55)) % 277.13/277.48 (step @p584 :rule symm :premises (@p582)) % 277.13/277.48 (step @p585 :rule trans :premises (@p584 @p583 @p116)) % 277.13/277.48 (step @p586 :rule cong :premises (@p585 @p548) :args (@t185)) % 277.13/277.48 (step @p587 :rule cong :premises (@p115 @p90) :args (@t188)) % 277.13/277.48 (step @p588 :rule instantiate :premises (@p8) :args ((@list @t57 @t39 @t188))) % 277.13/277.48 (step @p589 :rule symm :premises (@p588)) % 277.13/277.48 (step @p590 :rule refl :args (@t189)) % 277.13/277.48 (step @p591 :rule trans :premises (@p366 @p84 @p83 @p59 @p55)) % 277.13/277.48 (step @p592 :rule trans :premises (@p591 @p106)) % 277.13/277.48 (step @p593 :rule cong :premises (@p592 @p590) :args (@t190)) % 277.13/277.48 (step @p594 :rule cong :premises (@p593 @p56) :args (@t191)) % 277.13/277.48 (step @p595 :rule trans :premises (@p594 @p589 @p587)) % 277.13/277.48 (step @p596 :rule symm :premises (@p583)) % 277.13/277.48 (step @p597 :rule trans :premises (@p167 @p596 @p582)) % 277.13/277.48 (step @p598 :rule cong :premises (@p597 @p595) :args (@t192)) % 277.13/277.48 (step @p599 :rule trans :premises (@p598 @p586 @p119)) % 277.13/277.48 (step @p600 :rule trans :premises (@p599 @p115)) % 277.13/277.48 (step @p601 :rule cong :premises (@p600 @p56) :args ((tptp.double_divide @t192 @t2))) % 277.13/277.48 (step @p602 :rule instantiate :premises (@p8) :args ((@list @t57 tptp.identity @t189))) % 277.13/277.48 (step @p603 :rule instantiate :premises (@p8) :args ((@list @t185 @t2 @t73))) % 277.13/277.48 (step @p604 :rule symm :premises (@p603)) % 277.13/277.48 (step @p605 :rule cong :premises (@p584 @p156) :args (@t75)) % 277.13/277.48 (step @p606 :rule symm :premises (@p110)) % 277.13/277.48 (step @p607 :rule trans :premises (@p84 @p83 @p59 @p55 @p107 @p606 @p605)) % 277.13/277.48 (step @p608 :rule refl :args (@t185)) % 277.13/277.48 (step @p609 :rule cong :premises (@p608 @p607) :args (@t186)) % 277.13/277.48 (step @p610 :rule trans :premises (@p524 @p579 @p609)) % 277.13/277.48 (step @p611 :rule cong :premises (@p610 @p90) :args (@t71)) % 277.13/277.48 (step @p612 :rule symm :premises (@p567)) % 277.13/277.48 (step @p613 :rule instantiate :premises (@p8) :args ((@list @t79 @t65 @t67))) % 277.13/277.48 (step @p614 :rule symm :premises (@p613)) % 277.13/277.48 (step @p615 :rule refl :args (@t81)) % 277.13/277.48 (step @p616 :rule cong :premises (@p615 @p90) :args (@t82)) % 277.13/277.48 (step @p617 :rule refl :args (@t80)) % 277.13/277.48 (step @p618 :rule trans :premises (@p111 @p462)) % 277.13/277.48 (step @p619 :rule cong :premises (@p618 @p617) :args (@t193)) % 277.13/277.48 (step @p620 :rule cong :premises (@p619 @p85) :args (@t194)) % 277.13/277.48 (step @p621 :rule trans :premises (@p620 @p616 @p614 @p564 @p612 @p611 @p604 @p570)) % 277.13/277.48 (step @p622 :rule refl :args (@t188)) % 277.13/277.48 (step @p623 :rule trans :premises (@p114 @p102 @p100)) % 277.13/277.48 (step @p624 :rule symm :premises (@p597)) % 277.13/277.48 (step @p625 :rule cong :premises (@p624 @p623) :args (@t185)) % 277.13/277.48 (step @p626 :rule symm :premises (@p586)) % 277.13/277.48 (step @p627 :rule symm :premises (@p119)) % 277.13/277.48 (step @p628 :rule trans :premises (@p627 @p626 @p625)) % 277.13/277.48 (step @p629 :rule cong :premises (@p628 @p622) :args ((tptp.double_divide @t187 @t188))) % 277.13/277.48 (step @p630 :rule instantiate :premises (@p53) :args ((@list @t187))) % 277.13/277.48 (step @p631 :rule trans :premises (@p630 @p629)) % 277.13/277.48 (step @p632 :rule trans :premises (@p584 @p583 @p631)) % 277.13/277.48 (step @p633 :rule cong :premises (@p632 @p621) :args ((tptp.double_divide @t74 @t194))) % 277.13/277.48 (step @p634 :rule symm :premises (@p620)) % 277.13/277.48 (step @p635 :rule symm :premises (@p616)) % 277.13/277.48 (step @p636 :rule instantiate :premises (@p8) :args ((@list @t23 tptp.identity @t67))) % 277.13/277.48 (step @p637 :rule symm :premises (@p636)) % 277.13/277.48 (step @p638 :rule refl :args (@t195)) % 277.13/277.48 (step @p639 :rule cong :premises (@p638 @p90) :args ((tptp.double_divide @t195 tptp.identity))) % 277.13/277.48 (step @p640 :rule trans :premises (@p183 @p227 @p226 @p225 @p221 @p237 @p126 @p138 @p513)) % 277.13/277.48 (step @p641 :rule symm :premises (@p238)) % 277.13/277.48 (step @p642 :rule trans :premises (@p641 @p640)) % 277.13/277.48 (step @p643 :rule cong :premises (@p642 @p124) :args (@t83)) % 277.13/277.48 (step @p644 :rule cong :premises (@p643 @p90) :args (@t84)) % 277.13/277.48 (step @p645 :rule symm :premises (@p123)) % 277.13/277.48 (step @p646 :rule trans :premises (@p120 @p645 @p644)) % 277.13/277.48 (step @p647 :rule cong :premises (@p140 @p646) :args (@t24)) % 277.13/277.48 (step @p648 :rule cong :premises (@p647 @p43) :args (@t25)) % 277.13/277.48 (step @p649 :rule trans :premises (@p648 @p639 @p637 @p613 @p635 @p634)) % 277.13/277.48 (step @p650 :rule instantiate :premises (@p53) :args ((@list @t26))) % 277.13/277.48 (step @p651 :rule symm :premises (@p650)) % 277.13/277.48 (step @p652 :rule trans :premises (@p651 @p596 @p582)) % 277.13/277.48 (step @p653 :rule cong :premises (@p652 @p649) :args (@t28)) % 277.13/277.48 (step @p654 :rule trans :premises (@p653 @p633 @p602 @p601 @p114 @p102 @p100)) % 277.13/277.48 (step @p655 :rule cong :premises (@p22 @p654) :args (@t29)) % 277.13/277.48 (step @p656 :rule cong :premises (@p655 @p85) :args (@t30)) % 277.13/277.48 (step @p657 :rule cong :premises (@p656 @p93) :args (@t32)) % 277.13/277.48 (step @p658 :rule trans :premises (@p657 @p39)) % 277.13/277.48 (step @p659 :rule eq_resolve :premises (@p658 @p15)) % 277.13/277.48 (step @p660 :rule false_elim :premises (@p659)) % 277.13/277.48 (assume-push @p667 @t196) % 277.13/277.48 (step @p662 :rule instantiate :premises (@p8) :args ((@list tptp.c3 @t24 @t27))) % 277.13/277.48 (step-pop @p668 :rule scope :premises (@p662)) % 277.13/277.48 (step @p663 :rule process_scope :premises (@p668) :args (@t31)) % 277.13/277.48 (step @p665 :rule implies_elim :premises (@p663)) % 277.13/277.48 (step @p666 false :rule chain_m_resolution :premises (@p665 @p660 @p8) :args (false (@list true false) (@list @t31 @t196))) % 277.13/277.48 ) % 277.13/277.48 % SZS output end Proof % 277.13/277.48 % cvc5 exiting %------------------------------------------------------------------------------