%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL903+1 : TPTP v9.3.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:08 AM UTC 2026 % Result : Theorem 33.21s 33.92s % Output : Proof 33.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL903+1 : TPTP v9.3.1. Released v5.5.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.35 % Computer : n007.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Sat Sep 5 13:47:09 UTC 2026 % 0.10/0.36 % CPUTime : % 0.13/0.42 %----Proving TF0_NAR, FOF, or CNF % 33.21/33.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.21/33.92 --- Run --no-e-matching --full-saturate-quant at 6... % 33.21/33.92 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.21/33.92 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.21/33.92 % SZS status Theorem % 33.21/33.92 % SZS output start Proof % 33.21/33.92 ( % 33.21/33.92 (declare-sort $$unsorted 0) % 33.21/33.92 (declare-const |tptp.'==>'| (-> $$unsorted $$unsorted $$unsorted)) % 33.21/33.92 (declare-const |tptp.'1'| $$unsorted) % 33.21/33.92 (declare-const |tptp.'>='| (-> $$unsorted $$unsorted Bool)) % 33.21/33.92 (declare-const |tptp.'0'| $$unsorted) % 33.21/33.92 (declare-const |tptp.'+'| (-> $$unsorted $$unsorted $$unsorted)) % 33.21/33.92 (define @t1 () (@var "C" $$unsorted)) % 33.21/33.92 (define @t2 () (@var "B" $$unsorted)) % 33.21/33.92 (define @t3 () (@var "A" $$unsorted)) % 33.21/33.92 (define @t4 () (|tptp.'+'| @t3 @t2)) % 33.21/33.92 (define @t5 () (forall (@list @t3 @t2) (= @t4 (|tptp.'+'| @t2 @t3)))) % 33.21/33.92 (define @t6 () (|tptp.'+'| @t3 |tptp.'0'|)) % 33.21/33.92 (define @t7 () (@list @t3)) % 33.21/33.92 (define @t8 () (forall @t7 (= @t6 @t3))) % 33.21/33.92 (define @t9 () (forall @t7 (|tptp.'>='| @t3 @t3))) % 33.21/33.92 (define @t10 () (@var "X2" $$unsorted)) % 33.21/33.92 (define @t11 () (@var "X0" $$unsorted)) % 33.21/33.92 (define @t12 () (|tptp.'>='| @t11 @t10)) % 33.21/33.92 (define @t13 () (@var "X1" $$unsorted)) % 33.21/33.92 (define @t14 () (|tptp.'>='| @t13 @t10)) % 33.21/33.92 (define @t15 () (|tptp.'>='| @t11 @t13)) % 33.21/33.92 (define @t16 () (and @t15 @t14)) % 33.21/33.92 (define @t17 () (@list @t11 @t13 @t10)) % 33.21/33.92 (define @t18 () (forall @t17 (=> @t16 @t12))) % 33.21/33.92 (define @t19 () (@var "X4" $$unsorted)) % 33.21/33.92 (define @t20 () (@var "X3" $$unsorted)) % 33.21/33.92 (define @t21 () (= @t20 @t19)) % 33.21/33.92 (define @t22 () (|tptp.'>='| @t19 @t20)) % 33.21/33.92 (define @t23 () (|tptp.'>='| @t20 @t19)) % 33.21/33.92 (define @t24 () (and @t23 @t22)) % 33.21/33.92 (define @t25 () (@list @t20 @t19)) % 33.21/33.92 (define @t26 () (forall @t25 (=> @t24 @t21))) % 33.21/33.92 (define @t27 () (@var "X7" $$unsorted)) % 33.21/33.92 (define @t28 () (@var "X5" $$unsorted)) % 33.21/33.92 (define @t29 () (@var "X6" $$unsorted)) % 33.21/33.92 (define @t30 () (forall (@list @t28 @t29 @t27) (= (|tptp.'>='| (|tptp.'+'| @t28 @t29) @t27) (|tptp.'>='| @t29 (|tptp.'==>'| @t28 @t27))))) % 33.21/33.92 (define @t31 () (forall @t7 (|tptp.'>='| @t3 |tptp.'0'|))) % 33.21/33.92 (define @t32 () (@var "X10" $$unsorted)) % 33.21/33.92 (define @t33 () (@var "X9" $$unsorted)) % 33.21/33.92 (define @t34 () (@var "X8" $$unsorted)) % 33.21/33.92 (define @t35 () (|tptp.'>='| (|tptp.'+'| @t34 @t32) (|tptp.'+'| @t33 @t32))) % 33.21/33.92 (define @t36 () (|tptp.'>='| @t34 @t33)) % 33.21/33.92 (define @t37 () (@list @t34 @t33 @t32)) % 33.21/33.92 (define @t38 () (forall @t37 (=> @t36 @t35))) % 33.21/33.92 (define @t39 () (@var "X13" $$unsorted)) % 33.21/33.92 (define @t40 () (@var "X11" $$unsorted)) % 33.21/33.92 (define @t41 () (@var "X12" $$unsorted)) % 33.21/33.92 (define @t42 () (|tptp.'>='| (|tptp.'==>'| @t41 @t39) (|tptp.'==>'| @t40 @t39))) % 33.21/33.92 (define @t43 () (|tptp.'>='| @t40 @t41)) % 33.21/33.92 (define @t44 () (@list @t40 @t41 @t39)) % 33.21/33.92 (define @t45 () (forall @t44 (=> @t43 @t42))) % 33.21/33.92 (define @t46 () (@var "X15" $$unsorted)) % 33.21/33.92 (define @t47 () (@var "X16" $$unsorted)) % 33.21/33.92 (define @t48 () (@var "X14" $$unsorted)) % 33.21/33.92 (define @t49 () (|tptp.'>='| (|tptp.'==>'| @t47 @t48) (|tptp.'==>'| @t47 @t46))) % 33.21/33.92 (define @t50 () (|tptp.'>='| @t48 @t46)) % 33.21/33.92 (define @t51 () (@list @t48 @t46 @t47)) % 33.21/33.92 (define @t52 () (forall @t51 (=> @t50 @t49))) % 33.21/33.92 (define @t53 () (|tptp.'+'| @t3 |tptp.'1'|)) % 33.21/33.92 (define @t54 () (forall @t7 (= @t53 |tptp.'1'|))) % 33.21/33.92 (define @t55 () (|tptp.'==>'| (|tptp.'==>'| (|tptp.'==>'| @t3 |tptp.'1'|) @t3) @t3)) % 33.21/33.92 (define @t56 () (forall @t7 (= @t55 |tptp.'0'|))) % 33.21/33.92 (define @t57 () (@var "X17" $$unsorted)) % 33.21/33.92 (define @t58 () (|tptp.'+'| @t57 @t57)) % 33.21/33.92 (define @t59 () (@list @t57)) % 33.21/33.92 (define @t60 () (forall @t59 (= @t58 @t57))) % 33.21/33.92 (define @t61 () (not @t60)) % 33.21/33.92 (define @t62 () (@quantifiers_skolemize (forall @t59 (= @t57 @t58)) 0)) % 33.21/33.92 (define @t63 () (not @t14)) % 33.21/33.92 (define @t64 () (not @t15)) % 33.21/33.92 (define @t65 () (or @t64 @t63 @t12)) % 33.21/33.92 (define @t66 () (|tptp.'==>'| |tptp.'1'| @t62)) % 33.21/33.92 (define @t67 () (|tptp.'==>'| |tptp.'0'| @t62)) % 33.21/33.92 (define @t68 () (|tptp.'+'| @t62 @t62)) % 33.21/33.92 (define @t69 () (@list |tptp.'1'| @t68 @t62)) % 33.21/33.92 (define @t70 () (@list @t62)) % 33.21/33.92 (define @t71 () (|tptp.'+'| |tptp.'1'| |tptp.'1'|)) % 33.21/33.92 (define @t72 () (|tptp.'==>'| @t62 @t71)) % 33.21/33.92 (define @t73 () (|tptp.'==>'| @t72 @t62)) % 33.21/33.92 (define @t74 () (|tptp.'==>'| @t72 |tptp.'1'|)) % 33.21/33.92 (define @t75 () (@list |tptp.'1'|)) % 33.21/33.92 (define @t76 () (|tptp.'==>'| @t62 |tptp.'1'|)) % 33.21/33.92 (define @t77 () (|tptp.'==>'| @t76 @t62)) % 33.21/33.92 (define @t78 () (not @t22)) % 33.21/33.92 (define @t79 () (not @t23)) % 33.21/33.92 (define @t80 () (or @t79 @t78 @t21)) % 33.21/33.92 (define @t81 () (|tptp.'+'| @t77 |tptp.'0'|)) % 33.21/33.92 (define @t82 () (|tptp.'>='| @t62 @t81)) % 33.21/33.92 (define @t83 () (not @t82)) % 33.21/33.92 (define @t84 () (|tptp.'>='| @t81 @t62)) % 33.21/33.92 (define @t85 () (not @t84)) % 33.21/33.92 (define @t86 () (or @t85 @t83 (= @t81 @t62))) % 33.21/33.92 (define @t87 () (forall @t25 @t80)) % 33.21/33.92 (define @t88 () (= @t62 @t81)) % 33.21/33.92 (define @t89 () (or @t85 @t83 @t88)) % 33.21/33.92 (define @t90 () (@list false)) % 33.21/33.92 (define @t91 () (@list @t87)) % 33.21/33.92 (define @t92 () (|tptp.'+'| @t62 |tptp.'1'|)) % 33.21/33.92 (define @t93 () (|tptp.'>='| @t92 (|tptp.'+'| |tptp.'0'| |tptp.'1'|))) % 33.21/33.92 (define @t94 () (|tptp.'>='| @t62 |tptp.'0'|)) % 33.21/33.92 (define @t95 () (not @t94)) % 33.21/33.92 (define @t96 () (or @t95 @t93)) % 33.21/33.92 (define @t97 () (@list false false)) % 33.21/33.92 (define @t98 () (|tptp.'>='| @t92 @t71)) % 33.21/33.92 (define @t99 () (|tptp.'>='| |tptp.'1'| @t72)) % 33.21/33.92 (define @t100 () (= @t98 @t99)) % 33.21/33.92 (define @t101 () (|tptp.'>='| @t73 @t66)) % 33.21/33.92 (define @t102 () (not @t99)) % 33.21/33.92 (define @t103 () (or @t102 @t101)) % 33.21/33.92 (define @t104 () (= @t62 @t77)) % 33.21/33.92 (define @t105 () (= |tptp.'1'| @t71)) % 33.21/33.92 (define @t106 () (|tptp.'>='| @t62 @t66)) % 33.21/33.92 (define @t107 () (and @t104 @t105 @t101)) % 33.21/33.92 (define @t108 () (not @t105)) % 33.21/33.92 (define @t109 () (not @t104)) % 33.21/33.92 (define @t110 () (@list |tptp.'1'| @t62 @t62)) % 33.21/33.92 (define @t111 () (|tptp.'+'| |tptp.'1'| @t62)) % 33.21/33.92 (define @t112 () (|tptp.'>='| @t111 @t62)) % 33.21/33.92 (define @t113 () (= @t112 @t106)) % 33.21/33.92 (define @t114 () (not @t112)) % 33.21/33.92 (define @t115 () (|tptp.'>='| |tptp.'1'| @t62)) % 33.21/33.92 (define @t116 () (= @t92 @t111)) % 33.21/33.92 (define @t117 () (not @t116)) % 33.21/33.92 (define @t118 () (= |tptp.'1'| @t92)) % 33.21/33.92 (define @t119 () (not @t118)) % 33.21/33.92 (define @t120 () (not @t115)) % 33.21/33.92 (define @t121 () (and @t118 @t116 @t120)) % 33.21/33.92 (define @t122 () (|tptp.'>='| @t111 @t68)) % 33.21/33.92 (define @t123 () (or @t120 @t122)) % 33.21/33.92 (define @t124 () (|tptp.'>='| @t62 @t62)) % 33.21/33.92 (define @t125 () (@list @t62 |tptp.'0'|)) % 33.21/33.92 (define @t126 () (|tptp.'+'| |tptp.'0'| @t62)) % 33.21/33.92 (define @t127 () (|tptp.'+'| @t62 |tptp.'0'|)) % 33.21/33.92 (define @t128 () (= @t127 @t126)) % 33.21/33.92 (define @t129 () (forall @t7 (= @t3 @t6))) % 33.21/33.92 (define @t130 () (= @t62 @t127)) % 33.21/33.92 (define @t131 () (|tptp.'>='| @t127 @t77)) % 33.21/33.92 (define @t132 () (|tptp.'>='| @t126 @t77)) % 33.21/33.92 (define @t133 () (and @t124 @t130 @t104 @t128)) % 33.21/33.92 (define @t134 () (not @t124)) % 33.21/33.92 (define @t135 () (not @t130)) % 33.21/33.92 (define @t136 () (|tptp.'==>'| |tptp.'0'| @t77)) % 33.21/33.92 (define @t137 () (|tptp.'>='| @t62 @t136)) % 33.21/33.92 (define @t138 () (= @t132 @t137)) % 33.21/33.92 (define @t139 () (|tptp.'>='| @t68 @t126)) % 33.21/33.92 (define @t140 () (or @t95 @t139)) % 33.21/33.92 (define @t141 () (|tptp.'>='| @t68 @t62)) % 33.21/33.92 (define @t142 () (= @t62 @t68)) % 33.21/33.92 (define @t143 () (not @t141)) % 33.21/33.92 (define @t144 () (not (|tptp.'>='| @t62 @t68))) % 33.21/33.92 (define @t145 () (or @t144 @t143 @t142)) % 33.21/33.92 (define @t146 () (|tptp.'>='| @t127 @t68)) % 33.21/33.92 (define @t147 () (|tptp.'==>'| @t62 @t68)) % 33.21/33.92 (define @t148 () (|tptp.'>='| |tptp.'0'| @t147)) % 33.21/33.92 (define @t149 () (= @t146 @t148)) % 33.21/33.92 (define @t150 () (not @t148)) % 33.21/33.92 (define @t151 () (@list true false)) % 33.21/33.92 (define @t152 () (|tptp.'>='| (|tptp.'+'| |tptp.'0'| |tptp.'0'|) @t147)) % 33.21/33.92 (define @t153 () (|tptp.'>='| |tptp.'0'| (|tptp.'==>'| |tptp.'0'| @t147))) % 33.21/33.92 (define @t154 () (= @t152 @t153)) % 33.21/33.92 (define @t155 () (not @t153)) % 33.21/33.92 (define @t156 () (forall @t7 (= |tptp.'0'| @t55))) % 33.21/33.92 (define @t157 () (|tptp.'==>'| @t77 @t68)) % 33.21/33.92 (define @t158 () (@list @t157)) % 33.21/33.92 (define @t159 () (|tptp.'==>'| @t157 |tptp.'1'|)) % 33.21/33.92 (define @t160 () (|tptp.'==>'| @t159 @t157)) % 33.21/33.92 (define @t161 () (|tptp.'==>'| @t160 @t157)) % 33.21/33.92 (define @t162 () (= |tptp.'0'| @t161)) % 33.21/33.92 (define @t163 () (|tptp.'==>'| @t77 @t62)) % 33.21/33.92 (define @t164 () (= |tptp.'0'| @t163)) % 33.21/33.92 (define @t165 () (|tptp.'==>'| @t62 @t62)) % 33.21/33.92 (define @t166 () (|tptp.'==>'| @t165 @t157)) % 33.21/33.92 (define @t167 () (|tptp.'>='| @t161 @t166)) % 33.21/33.92 (define @t168 () (not @t167)) % 33.21/33.92 (define @t169 () (not @t162)) % 33.21/33.92 (define @t170 () (not @t164)) % 33.21/33.92 (define @t171 () (|tptp.'==>'| @t77 @t77)) % 33.21/33.92 (define @t172 () (and @t164 @t104 @t162 @t155)) % 33.21/33.92 (define @t173 () (forall @t44 (or (not @t43) @t42))) % 33.21/33.92 (define @t174 () (|tptp.'>='| @t165 @t160)) % 33.21/33.92 (define @t175 () (not @t174)) % 33.21/33.92 (define @t176 () (or @t175 @t167)) % 33.21/33.92 (define @t177 () (forall @t17 @t65)) % 33.21/33.92 (define @t178 () (|tptp.'==>'| @t62 @t157)) % 33.21/33.92 (define @t179 () (|tptp.'>='| @t178 @t160)) % 33.21/33.92 (define @t180 () (not @t179)) % 33.21/33.92 (define @t181 () (|tptp.'>='| @t165 @t178)) % 33.21/33.92 (define @t182 () (not @t181)) % 33.21/33.92 (define @t183 () (or @t182 @t180 @t174)) % 33.21/33.92 (define @t184 () (forall @t37 (or (not @t36) @t35))) % 33.21/33.92 (define @t185 () (|tptp.'>='| @t68 @t68)) % 33.21/33.92 (define @t186 () (or @t134 @t185)) % 33.21/33.92 (define @t187 () (|tptp.'>='| @t62 @t147)) % 33.21/33.92 (define @t188 () (= @t185 @t187)) % 33.21/33.92 (define @t189 () (|tptp.'>='| @t62 @t157)) % 33.21/33.92 (define @t190 () (and @t104 @t187)) % 33.21/33.92 (define @t191 () (forall @t51 (or (not @t50) @t49))) % 33.21/33.92 (define @t192 () (not @t189)) % 33.21/33.92 (define @t193 () (or @t192 @t181)) % 33.21/33.92 (define @t194 () (|tptp.'==>'| @t157 @t62)) % 33.21/33.92 (define @t195 () (|tptp.'>='| @t159 @t194)) % 33.21/33.92 (define @t196 () (or @t120 @t195)) % 33.21/33.92 (define @t197 () (|tptp.'>='| @t76 @t165)) % 33.21/33.92 (define @t198 () (or @t120 @t197)) % 33.21/33.92 (define @t199 () (|tptp.'==>'| @t194 @t157)) % 33.21/33.92 (define @t200 () (|tptp.'>='| @t199 @t160)) % 33.21/33.92 (define @t201 () (not @t195)) % 33.21/33.92 (define @t202 () (or @t201 @t200)) % 33.21/33.92 (define @t203 () (not @t200)) % 33.21/33.92 (define @t204 () (|tptp.'==>'| @t147 @t62)) % 33.21/33.92 (define @t205 () (= @t62 @t204)) % 33.21/33.92 (define @t206 () (not @t205)) % 33.21/33.92 (define @t207 () (and @t180 @t205 @t104 @t200)) % 33.21/33.92 (define @t208 () (= @t62 @t136)) % 33.21/33.92 (define @t209 () (|tptp.'==>'| @t163 @t62)) % 33.21/33.92 (define @t210 () (= @t194 @t209)) % 33.21/33.92 (define @t211 () (and @t164 @t104 @t208 @t210)) % 33.21/33.92 (define @t212 () (not @t208)) % 33.21/33.92 (define @t213 () (|tptp.'>='| @t157 @t163)) % 33.21/33.92 (define @t214 () (or @t143 @t213)) % 33.21/33.92 (define @t215 () (|tptp.'>='| @t209 @t194)) % 33.21/33.92 (define @t216 () (not @t213)) % 33.21/33.92 (define @t217 () (or @t216 @t215)) % 33.21/33.92 (define @t218 () (|tptp.'>='| @t194 @t209)) % 33.21/33.92 (define @t219 () (not @t218)) % 33.21/33.92 (define @t220 () (not @t215)) % 33.21/33.92 (define @t221 () (or @t220 @t219 (= @t209 @t194))) % 33.21/33.92 (define @t222 () (or @t220 @t219 @t210)) % 33.21/33.92 (define @t223 () (|tptp.'>='| @t204 @t136)) % 33.21/33.92 (define @t224 () (and @t164 @t104 @t223)) % 33.21/33.92 (define @t225 () (|tptp.'>='| @t194 @t73)) % 33.21/33.92 (define @t226 () (and @t164 @t104 @t105 @t208 @t225)) % 33.21/33.92 (define @t227 () (not @t225)) % 33.21/33.92 (define @t228 () (|tptp.'>='| @t136 @t62)) % 33.21/33.92 (define @t229 () (not @t228)) % 33.21/33.92 (define @t230 () (not @t137)) % 33.21/33.92 (define @t231 () (or @t230 @t229 @t208)) % 33.21/33.92 (define @t232 () (|tptp.'>='| @t67 @t73)) % 33.21/33.92 (define @t233 () (not @t232)) % 33.21/33.92 (define @t234 () (and @t104 @t105 @t229)) % 33.21/33.92 (define @t235 () (|tptp.'>='| @t72 |tptp.'0'|)) % 33.21/33.92 (define @t236 () (not @t235)) % 33.21/33.92 (define @t237 () (or @t236 @t232)) % 33.21/33.92 (define @t238 () (and @t164 @t104 @t105 @t197)) % 33.21/33.92 (define @t239 () (|tptp.'>='| @t72 @t157)) % 33.21/33.92 (define @t240 () (not @t239)) % 33.21/33.92 (define @t241 () (or @t240 @t225)) % 33.21/33.92 (define @t242 () (|tptp.'>='| @t76 @t147)) % 33.21/33.92 (define @t243 () (and @t104 @t105 @t242)) % 33.21/33.92 (define @t244 () (|tptp.'>='| |tptp.'1'| @t68)) % 33.21/33.92 (define @t245 () (not @t244)) % 33.21/33.92 (define @t246 () (or @t245 @t242)) % 33.21/33.92 (define @t247 () (and @t118 @t116 @t122)) % 33.21/33.92 (define @t248 () (not @t88)) % 33.21/33.92 (define @t249 () (= @t77 @t81)) % 33.21/33.92 (define @t250 () (not @t249)) % 33.21/33.92 (define @t251 () (and @t109 @t249)) % 33.21/33.92 (define @t252 () (|tptp.'>='| @t163 @t163)) % 33.21/33.92 (define @t253 () (or @t134 @t252)) % 33.21/33.92 (define @t254 () (|tptp.'>='| |tptp.'0'| @t163)) % 33.21/33.92 (define @t255 () (= @t84 @t254)) % 33.21/33.92 (define @t256 () (@list false true false)) % 33.21/33.92 (define @t257 () (|tptp.'>='| @t62 @t73)) % 33.21/33.92 (define @t258 () (and @t130 @t105 @t257 @t249)) % 33.21/33.92 (define @t259 () (not @t257)) % 33.21/33.92 (define @t260 () (@list true false false false)) % 33.21/33.92 (define @t261 () (|tptp.'+'| @t68 |tptp.'1'|)) % 33.21/33.92 (define @t262 () (|tptp.'+'| @t62 @t92)) % 33.21/33.92 (define @t263 () (|tptp.'>='| @t261 @t71)) % 33.21/33.92 (define @t264 () (|tptp.'>='| (|tptp.'==>'| @t62 @t261) @t72)) % 33.21/33.92 (define @t265 () (not @t263)) % 33.21/33.92 (define @t266 () (or @t265 @t264)) % 33.21/33.92 (define @t267 () (|tptp.'>='| @t72 @t76)) % 33.21/33.92 (define @t268 () (|tptp.'+'| @t62 @t72)) % 33.21/33.92 (define @t269 () (|tptp.'>='| @t268 |tptp.'1'|)) % 33.21/33.92 (define @t270 () (= @t269 @t267)) % 33.21/33.92 (define @t271 () (|tptp.'+'| @t72 @t62)) % 33.21/33.92 (define @t272 () (= @t268 @t271)) % 33.21/33.92 (define @t273 () (|tptp.'>='| @t271 |tptp.'1'|)) % 33.21/33.92 (define @t274 () (|tptp.'>='| @t62 @t74)) % 33.21/33.92 (define @t275 () (= @t273 @t274)) % 33.21/33.92 (define @t276 () (|tptp.'>='| @t74 @t73)) % 33.21/33.92 (define @t277 () (not @t276)) % 33.21/33.92 (define @t278 () (not @t274)) % 33.21/33.92 (define @t279 () (or @t278 @t277 @t257)) % 33.21/33.92 (define @t280 () (or @t120 @t276)) % 33.21/33.92 (define @t281 () (= @t261 @t262)) % 33.21/33.92 (define @t282 () (|tptp.'+'| |tptp.'1'| @t68)) % 33.21/33.92 (define @t283 () (= @t261 @t282)) % 33.21/33.92 (define @t284 () (|tptp.'>='| @t282 @t62)) % 33.21/33.92 (define @t285 () (and @t118 @t281 @t283 @t284)) % 33.21/33.92 (define @t286 () (not @t284)) % 33.21/33.92 (define @t287 () (|tptp.'>='| @t68 @t66)) % 33.21/33.92 (define @t288 () (= @t284 @t287)) % 33.21/33.92 (define @t289 () (not @t287)) % 33.21/33.92 (define @t290 () (|tptp.'>='| (|tptp.'+'| |tptp.'0'| @t68) @t62)) % 33.21/33.92 (define @t291 () (|tptp.'>='| @t68 @t67)) % 33.21/33.92 (define @t292 () (= @t290 @t291)) % 33.21/33.92 (define @t293 () (|tptp.'>='| @t67 @t66)) % 33.21/33.92 (define @t294 () (not @t293)) % 33.21/33.92 (define @t295 () (not @t291)) % 33.21/33.92 (define @t296 () (or @t295 @t294 @t287)) % 33.21/33.92 (define @t297 () (|tptp.'>='| |tptp.'1'| |tptp.'0'|)) % 33.21/33.92 (define @t298 () (not @t297)) % 33.21/33.92 (define @t299 () (or @t298 @t293)) % 33.21/33.92 (assume @p1 (forall (@list @t3 @t2 @t1) (= (|tptp.'+'| @t4 @t1) (|tptp.'+'| @t3 (|tptp.'+'| @t2 @t1))))) % 33.21/33.92 (assume @p2 @t5) % 33.21/33.92 (assume @p3 @t8) % 33.21/33.92 (assume @p4 @t9) % 33.21/33.92 (assume @p5 @t18) % 33.21/33.92 (assume @p6 @t26) % 33.21/33.92 (assume @p7 @t30) % 33.21/33.92 (assume @p8 @t31) % 33.21/33.92 (assume @p9 @t38) % 33.21/33.92 (assume @p10 @t45) % 33.21/33.92 (assume @p11 @t52) % 33.21/33.92 (assume @p12 @t54) % 33.21/33.92 (assume @p13 @t56) % 33.21/33.92 (assume @p14 @t61) % 33.21/33.92 (assume @p15 true) % 33.21/33.92 (step @p16 :rule bool-impl-elim :args (@t43 @t42)) % 33.21/33.92 (step @p17 :rule cong :premises (@p16) :args (@t45)) % 33.21/33.92 (step @p18 :rule eq_resolve :premises (@p10 @p17)) % 33.21/33.92 (step @p19 :rule instantiate :premises (@p18) :args ((@list |tptp.'1'| |tptp.'0'| @t62))) % 33.21/33.92 (step @p20 :rule aci_norm :args ((= (or (or @t64 @t63) @t12) @t65))) % 33.21/33.92 (step @p21 :rule refl :args (@t12)) % 33.21/33.92 (step @p22 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 33.21/33.92 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or (not @t16) @t12))) % 33.21/33.92 (step @p24 :rule trans :premises (@p23 @p20)) % 33.21/33.92 (step @p25 :rule bool-impl-elim :args (@t16 @t12)) % 33.21/33.92 (step @p26 :rule trans :premises (@p25 @p24)) % 33.21/33.92 (step @p27 :rule cong :premises (@p26) :args (@t18)) % 33.21/33.92 (step @p28 :rule eq_resolve :premises (@p5 @p27)) % 33.21/33.92 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t68 @t67 @t66))) % 33.21/33.92 (step @p30 :rule instantiate :premises (@p7) :args (@t69)) % 33.21/33.92 (step @p31 :rule eq-symm :args (@t53 |tptp.'1'|)) % 33.21/33.92 (step @p32 :rule cong :premises (@p31) :args (@t54)) % 33.21/33.92 (step @p33 :rule eq_resolve :premises (@p12 @p32)) % 33.21/33.92 (step @p34 :rule instantiate :premises (@p33) :args (@t70)) % 33.21/33.92 (step @p35 :rule instantiate :premises (@p1) :args ((@list @t62 @t62 |tptp.'1'|))) % 33.21/33.92 (step @p36 :rule instantiate :premises (@p2) :args ((@list @t68 |tptp.'1'|))) % 33.21/33.92 (step @p37 :rule bool-impl-elim :args (@t50 @t49)) % 33.21/33.92 (step @p38 :rule cong :premises (@p37) :args (@t52)) % 33.21/33.92 (step @p39 :rule eq_resolve :premises (@p11 @p38)) % 33.21/33.92 (step @p40 :rule instantiate :premises (@p39) :args ((@list |tptp.'1'| @t62 @t72))) % 33.21/33.92 (step @p41 :rule instantiate :premises (@p28) :args ((@list @t62 @t74 @t73))) % 33.21/33.92 (step @p42 :rule eq-symm :args (@t6 @t3)) % 33.21/33.92 (step @p43 :rule cong :premises (@p42) :args (@t8)) % 33.21/33.92 (step @p44 :rule eq_resolve :premises (@p3 @p43)) % 33.21/33.92 (step @p45 :rule instantiate :premises (@p44) :args (@t70)) % 33.21/33.92 (step @p46 :rule instantiate :premises (@p33) :args (@t75)) % 33.21/33.92 (step @p47 :rule instantiate :premises (@p44) :args ((@list @t77))) % 33.21/33.92 (step @p48 :rule aci_norm :args ((= (or (or @t79 @t78) @t21) @t80))) % 33.21/33.92 (step @p49 :rule refl :args (@t21)) % 33.21/33.92 (step @p50 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 33.21/33.92 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or (not @t24) @t21))) % 33.21/33.92 (step @p52 :rule trans :premises (@p51 @p48)) % 33.21/33.92 (step @p53 :rule bool-impl-elim :args (@t24 @t21)) % 33.21/33.92 (step @p54 :rule trans :premises (@p53 @p52)) % 33.21/33.92 (step @p55 :rule cong :premises (@p54) :args (@t26)) % 33.21/33.92 (step @p56 :rule eq_resolve :premises (@p6 @p55)) % 33.21/33.92 (step @p57 :rule eq-symm :args (@t81 @t62)) % 33.21/33.92 (step @p58 :rule refl :args (@t83)) % 33.21/33.92 (step @p59 :rule refl :args (@t85)) % 33.21/33.92 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57) :args (@t86)) % 33.21/33.92 (step @p61 :rule refl :args (@t87)) % 33.21/33.92 (step @p62 :rule cong :premises (@p61 @p60) :args ((=> @t87 @t86))) % 33.21/33.92 (assume-push @p859 @t87) % 33.21/33.92 (step @p64 :rule instantiate :premises (@p56) :args ((@list @t81 @t62))) % 33.21/33.92 (step-pop @p860 :rule scope :premises (@p64)) % 33.21/33.92 (step @p65 :rule process_scope :premises (@p860) :args (@t86)) % 33.21/33.92 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 33.21/33.92 (step @p68 :rule implies_elim :premises (@p67)) % 33.21/33.92 (step @p69 :rule chain_m_resolution :premises (@p68 @p56) :args (@t89 @t90 @t91)) % 33.21/33.92 (step @p70 :rule instantiate :premises (@p18) :args ((@list |tptp.'1'| @t72 @t62))) % 33.21/33.92 (step @p71 :rule instantiate :premises (@p7) :args ((@list @t62 |tptp.'1'| @t71))) % 33.21/33.92 (step @p72 :rule bool-impl-elim :args (@t36 @t35)) % 33.21/33.92 (step @p73 :rule cong :premises (@p72) :args (@t38)) % 33.21/33.92 (step @p74 :rule eq_resolve :premises (@p9 @p73)) % 33.21/33.92 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t62 |tptp.'0'| |tptp.'1'|))) % 33.21/33.92 (step @p76 :rule instantiate :premises (@p8) :args (@t70)) % 33.21/33.92 (step @p77 :rule cnf_or_pos :args (@t96)) % 33.21/33.92 (step @p78 :rule reordering :premises (@p77) :args ((or @t95 @t93 (not @t96)))) % 33.21/33.92 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p75) :args (@t93 @t97 (@list @t94 @t96))) % 33.21/33.92 (step @p80 :rule true_intro :premises (@p79)) % 33.21/33.92 (step @p81 :rule instantiate :premises (@p2) :args ((@list |tptp.'1'| |tptp.'0'|))) % 33.21/33.92 (step @p82 :rule instantiate :premises (@p44) :args (@t75)) % 33.21/33.92 (step @p83 :rule symm :premises (@p34)) % 33.21/33.92 (step @p84 :rule trans :premises (@p83 @p82 @p81)) % 33.21/33.92 (step @p85 :rule refl :args (@t92)) % 33.21/33.92 (step @p86 :rule cong :premises (@p85 @p84) :args ((|tptp.'>='| @t92 @t92))) % 33.21/33.92 (step @p87 :rule symm :premises (@p46)) % 33.21/33.92 (step @p88 :rule trans :premises (@p87 @p34)) % 33.21/33.92 (step @p89 :rule cong :premises (@p85 @p88) :args (@t98)) % 33.21/33.92 (step @p90 :rule trans :premises (@p89 @p86 @p80)) % 33.21/33.92 (step @p91 :rule true_elim :premises (@p90)) % 33.21/33.92 (step @p92 :rule cnf_equiv_pos1 :args (@t100)) % 33.21/33.92 (step @p93 :rule reordering :premises (@p92) :args ((or @t99 (not @t98) (not @t100)))) % 33.21/33.92 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p71) :args (@t99 @t97 (@list @t98 @t100))) % 33.21/33.92 (step @p95 :rule cnf_or_pos :args (@t103)) % 33.21/33.92 (step @p96 :rule reordering :premises (@p95) :args ((or @t102 @t101 (not @t103)))) % 33.21/33.92 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p70) :args (@t101 @t97 (@list @t99 @t103))) % 33.21/33.92 (assume-push @p861 @t104) % 33.21/33.92 (assume-push @p862 @t105) % 33.21/33.92 (assume-push @p863 @t101) % 33.21/33.92 (assume-push @p864 @t101) % 33.21/33.92 (assume-push @p865 @t105) % 33.21/33.92 (assume-push @p866 @t104) % 33.21/33.92 (step @p104 :rule true_intro :premises (@p97)) % 33.21/33.92 (step @p105 :rule refl :args (@t66)) % 33.21/33.92 (step @p106 :rule refl :args (@t62)) % 33.21/33.92 (step @p107 :rule cong :premises (@p106 @p46) :args (@t76)) % 33.21/33.92 (step @p108 :rule cong :premises (@p107 @p106) :args (@t77)) % 33.21/33.92 (step @p109 :rule trans :premises (@p861 @p108)) % 33.21/33.92 (step @p110 :rule cong :premises (@p109 @p105) :args (@t106)) % 33.21/33.92 (step @p111 :rule trans :premises (@p110 @p104)) % 33.21/33.92 (step @p112 :rule true_elim :premises (@p111)) % 33.21/33.92 (step-pop @p867 :rule scope :premises (@p112)) % 33.21/33.92 (step-pop @p868 :rule scope :premises (@p867)) % 33.21/33.92 (step-pop @p869 :rule scope :premises (@p868)) % 33.21/33.92 (step @p113 :rule process_scope :premises (@p869) :args (@t106)) % 33.21/33.92 (step @p117 :rule and_intro :premises (@p97 @p46 @p861)) % 33.21/33.92 (step @p118 :rule modus_ponens :premises (@p117 @p113)) % 33.21/33.92 (step-pop @p870 :rule scope :premises (@p118)) % 33.21/33.92 (step-pop @p871 :rule scope :premises (@p870)) % 33.21/33.92 (step-pop @p872 :rule scope :premises (@p871)) % 33.21/33.92 (step @p119 :rule process_scope :premises (@p872) :args (@t106)) % 33.21/33.92 (step @p123 :rule implies_elim :premises (@p119)) % 33.21/33.92 (step @p124 :rule cnf_and_neg :args (@t107)) % 33.21/33.92 (step @p125 :rule resolution :premises (@p124 @p123) :args (true @t107)) % 33.21/33.92 (step @p126 :rule reordering :premises (@p125) :args ((or @t109 @t108 @t106 (not @t101)))) % 33.21/33.92 (step @p127 :rule instantiate :premises (@p7) :args (@t110)) % 33.21/33.92 (step @p128 :rule cnf_equiv_pos2 :args (@t113)) % 33.21/33.92 (step @p129 :rule reordering :premises (@p128) :args ((or @t112 (not @t106) (not @t113)))) % 33.21/33.92 (step @p130 :rule instantiate :premises (@p2) :args ((@list @t62 |tptp.'1'|))) % 33.21/33.92 (step @p131 :rule refl :args (@t114)) % 33.21/33.92 (step @p132 :rule bool-double-not-elim :args (@t115)) % 33.21/33.92 (step @p133 :rule refl :args (@t117)) % 33.21/33.92 (step @p134 :rule refl :args (@t119)) % 33.21/33.92 (step @p135 :rule nary_cong :premises (@p134 @p133 @p132 @p131) :args ((or @t119 @t117 (not @t120) @t114))) % 33.21/33.92 (assume-push @p873 @t118) % 33.21/33.92 (assume-push @p874 @t116) % 33.21/33.92 (assume-push @p875 @t120) % 33.21/33.92 (assume-push @p876 @t120) % 33.21/33.92 (assume-push @p877 @t118) % 33.21/33.92 (assume-push @p878 @t116) % 33.21/33.92 (step @p142 :rule false_intro :premises (@p875)) % 33.21/33.92 (step @p106 :rule refl :args (@t62)) % 33.21/33.92 (step @p143 :rule symm :premises (@p130)) % 33.21/33.92 (step @p144 :rule trans :premises (@p143 @p83)) % 33.21/33.92 (step @p145 :rule cong :premises (@p144 @p106) :args (@t112)) % 33.21/33.92 (step @p146 :rule trans :premises (@p145 @p142)) % 33.21/33.92 (step @p147 :rule false_elim :premises (@p146)) % 33.21/33.92 (step-pop @p879 :rule scope :premises (@p147)) % 33.21/33.92 (step-pop @p880 :rule scope :premises (@p879)) % 33.21/33.92 (step-pop @p881 :rule scope :premises (@p880)) % 33.21/33.92 (step @p148 :rule process_scope :premises (@p881) :args (@t114)) % 33.21/33.92 (step @p152 :rule and_intro :premises (@p875 @p34 @p130)) % 33.21/33.92 (step @p153 :rule modus_ponens :premises (@p152 @p148)) % 33.21/33.92 (step-pop @p882 :rule scope :premises (@p153)) % 33.21/33.92 (step-pop @p883 :rule scope :premises (@p882)) % 33.21/33.92 (step-pop @p884 :rule scope :premises (@p883)) % 33.21/33.92 (step @p154 :rule process_scope :premises (@p884) :args (@t114)) % 33.21/33.92 (step @p158 :rule implies_elim :premises (@p154)) % 33.21/33.92 (step @p159 :rule cnf_and_neg :args (@t121)) % 33.21/33.92 (step @p160 :rule resolution :premises (@p159 @p158) :args (true @t121)) % 33.21/33.92 (step @p161 :rule eq_resolve :premises (@p160 @p135)) % 33.21/33.92 (step @p162 :rule instantiate :premises (@p74) :args (@t110)) % 33.21/33.92 (step @p163 :rule cnf_or_pos :args (@t123)) % 33.21/33.92 (step @p164 :rule reordering :premises (@p163) :args ((or @t120 @t122 (not @t123)))) % 33.21/33.92 (assume-push @p885 @t9) % 33.21/33.92 (step @p166 :rule instantiate :premises (@p4) :args (@t70)) % 33.21/33.92 (step-pop @p886 :rule scope :premises (@p166)) % 33.21/33.92 (step @p167 :rule process_scope :premises (@p886) :args (@t124)) % 33.21/33.92 (step @p169 :rule implies_elim :premises (@p167)) % 33.21/33.92 (assume-push @p887 @t5) % 33.21/33.92 (step @p171 :rule instantiate :premises (@p2) :args (@t125)) % 33.21/33.92 (step-pop @p888 :rule scope :premises (@p171)) % 33.21/33.92 (step @p172 :rule process_scope :premises (@p888) :args (@t128)) % 33.21/33.92 (step @p174 :rule implies_elim :premises (@p172)) % 33.21/33.92 (assume-push @p889 @t129) % 33.21/33.92 (step-pop @p890 :rule scope :premises (@p45)) % 33.21/33.92 (step @p176 :rule process_scope :premises (@p890) :args (@t130)) % 33.21/33.92 (step @p178 :rule implies_elim :premises (@p176)) % 33.21/33.92 (assume-push @p891 @t124) % 33.21/33.92 (assume-push @p892 @t130) % 33.21/33.92 (assume-push @p893 @t104) % 33.21/33.92 (assume-push @p894 @t128) % 33.21/33.92 (assume-push @p895 @t124) % 33.21/33.92 (assume-push @p896 @t130) % 33.21/33.92 (assume-push @p897 @t104) % 33.21/33.92 (assume-push @p898 @t128) % 33.21/33.92 (step @p166 :rule instantiate :premises (@p4) :args (@t70)) % 33.21/33.92 (step @p187 :rule 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:premises (@p901)) % 33.21/33.92 (step @p198 :rule process_scope :premises (@p902) :args (@t132)) % 33.21/33.92 (step @p171 :rule instantiate :premises (@p2) :args (@t125)) % 33.21/33.92 (step @p166 :rule instantiate :premises (@p4) :args (@t70)) % 33.21/33.92 (step @p203 :rule and_intro :premises (@p166 @p45 @p893 @p171)) % 33.21/33.92 (step @p204 :rule modus_ponens :premises (@p203 @p198)) % 33.21/33.92 (step-pop @p903 :rule scope :premises (@p204)) % 33.21/33.92 (step-pop @p904 :rule scope :premises (@p903)) % 33.21/33.92 (step-pop @p905 :rule scope :premises (@p904)) % 33.21/33.92 (step-pop @p906 :rule scope :premises (@p905)) % 33.21/33.92 (step @p205 :rule process_scope :premises (@p906) :args (@t132)) % 33.21/33.92 (step @p210 :rule implies_elim :premises (@p205)) % 33.21/33.92 (step @p211 :rule cnf_and_neg :args (@t133)) % 33.21/33.92 (step @p212 :rule resolution :premises (@p211 @p210) :args (true @t133)) % 33.21/33.92 (step @p213 :rule reordering :premises (@p212) :args ((or 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33.21/33.92 (assume-push @p983 @t164) % 33.21/33.92 (assume-push @p984 @t104) % 33.21/33.92 (assume-push @p985 @t223) % 33.21/33.92 (assume-push @p986 @t223) % 33.21/33.92 (assume-push @p987 @t104) % 33.21/33.92 (assume-push @p988 @t164) % 33.21/33.92 (step @p486 :rule true_intro :premises (@p985)) % 33.21/33.92 (step @p292 :rule refl :args (|tptp.'0'|)) % 33.21/33.92 (step @p487 :rule cong :premises (@p292 @p984) :args (@t67)) % 33.21/33.92 (step @p106 :rule refl :args (@t62)) % 33.21/33.92 (step @p295 :rule symm :premises (@p271)) % 33.21/33.92 (step @p488 :rule cong :premises (@p295 @p106) :args (@t209)) % 33.21/33.92 (step @p489 :rule trans :premises (@p488 @p487)) % 33.21/33.92 (step @p490 :rule symm :premises (@p984)) % 33.21/33.92 (step @p491 :rule cong :premises (@p490 @p229) :args (@t157)) % 33.21/33.92 (step @p492 :rule cong :premises (@p491 @p106) :args (@t194)) % 33.21/33.92 (step @p493 :rule cong :premises (@p492 @p489) :args (@t218)) % 33.21/33.92 (step @p494 :rule trans 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33.21/33.92 (assume-push @p1017 @t229) % 33.21/33.92 (assume-push @p1018 @t229) % 33.21/33.92 (assume-push @p1019 @t104) % 33.21/33.92 (assume-push @p1020 @t105) % 33.21/33.92 (step @p565 :rule false_intro :premises (@p1017)) % 33.21/33.92 (step @p566 :rule symm :premises (@p1015)) % 33.21/33.92 (step @p106 :rule refl :args (@t62)) % 33.21/33.92 (step @p567 :rule cong :premises (@p106 @p87) :args (@t72)) % 33.21/33.92 (step @p568 :rule cong :premises (@p567 @p106) :args (@t73)) % 33.21/33.92 (step @p569 :rule trans :premises (@p568 @p566)) % 33.21/33.92 (step @p292 :rule refl :args (|tptp.'0'|)) % 33.21/33.92 (step @p570 :rule cong :premises (@p292 @p1015) :args (@t67)) % 33.21/33.92 (step @p571 :rule cong :premises (@p570 @p569) :args (@t232)) % 33.21/33.92 (step @p572 :rule trans :premises (@p571 @p565)) % 33.21/33.92 (step @p573 :rule false_elim :premises (@p572)) % 33.21/33.92 (step-pop @p1021 :rule scope :premises (@p573)) % 33.21/33.92 (step-pop @p1022 :rule scope :premises 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33.21/33.92 (step @p567 :rule cong :premises (@p106 @p87) :args (@t72)) % 33.21/33.92 (step @p636 :rule cong :premises (@p567 @p635) :args (@t239)) % 33.21/33.92 (step @p637 :rule trans :premises (@p636 @p633)) % 33.21/33.92 (step @p638 :rule true_elim :premises (@p637)) % 33.21/33.92 (step-pop @p1049 :rule scope :premises (@p638)) % 33.21/33.92 (step-pop @p1050 :rule scope :premises (@p1049)) % 33.21/33.92 (step-pop @p1051 :rule scope :premises (@p1050)) % 33.21/33.92 (step @p639 :rule process_scope :premises (@p1051) :args (@t239)) % 33.21/33.92 (step @p643 :rule and_intro :premises (@p1045 @p46 @p1043)) % 33.21/33.92 (step @p644 :rule modus_ponens :premises (@p643 @p639)) % 33.21/33.92 (step-pop @p1052 :rule scope :premises (@p644)) % 33.21/33.92 (step-pop @p1053 :rule scope :premises (@p1052)) % 33.21/33.92 (step-pop @p1054 :rule scope :premises (@p1053)) % 33.21/33.92 (step @p645 :rule process_scope :premises (@p1054) :args (@t239)) % 33.21/33.92 (step @p649 :rule implies_elim :premises (@p645)) % 33.21/33.92 (step @p650 :rule cnf_and_neg :args (@t243)) % 33.21/33.92 (step @p651 :rule resolution :premises (@p650 @p649) :args (true @t243)) % 33.21/33.92 (step @p652 :rule reordering :premises (@p651) :args ((or @t109 @t108 @t239 (not @t242)))) % 33.21/33.92 (step @p653 :rule instantiate :premises (@p39) :args (@t69)) % 33.21/33.92 (step @p654 :rule cnf_or_pos :args (@t246)) % 33.21/33.92 (step @p655 :rule reordering :premises (@p654) :args ((or @t245 @t242 (not @t246)))) % 33.21/33.92 (assume-push @p1055 @t118) % 33.21/33.92 (assume-push @p1056 @t116) % 33.21/33.92 (assume-push @p1057 @t122) % 33.21/33.92 (assume-push @p1058 @t122) % 33.21/33.92 (assume-push @p1059 @t116) % 33.21/33.92 (assume-push @p1060 @t118) % 33.21/33.92 (step @p662 :rule true_intro :premises (@p1057)) % 33.21/33.92 (step @p663 :rule trans :premises (@p34 @p130)) % 33.21/33.92 (step @p664 :rule cong :premises (@p663 @p229) :args (@t244)) % 33.21/33.92 (step @p665 :rule trans :premises (@p664 @p662)) % 33.21/33.92 (step @p666 :rule true_elim :premises (@p665)) % 33.21/33.92 (step-pop @p1061 :rule scope :premises (@p666)) % 33.21/33.92 (step-pop @p1062 :rule scope :premises (@p1061)) % 33.21/33.92 (step-pop @p1063 :rule scope :premises (@p1062)) % 33.21/33.92 (step @p667 :rule process_scope :premises (@p1063) :args (@t244)) % 33.21/33.92 (step @p671 :rule and_intro :premises (@p1057 @p130 @p34)) % 33.21/33.92 (step @p672 :rule modus_ponens :premises (@p671 @p667)) % 33.21/33.92 (step-pop @p1064 :rule scope :premises (@p672)) % 33.21/33.92 (step-pop @p1065 :rule scope :premises (@p1064)) % 33.21/33.92 (step-pop @p1066 :rule scope :premises (@p1065)) % 33.21/33.92 (step @p673 :rule process_scope :premises (@p1066) :args (@t244)) % 33.21/33.92 (step @p677 :rule implies_elim :premises (@p673)) % 33.21/33.92 (step @p678 :rule cnf_and_neg :args (@t247)) % 33.21/33.92 (step @p679 :rule resolution :premises (@p678 @p677) :args (true @t247)) % 33.21/33.92 (step @p680 :rule reordering :premises (@p679) :args ((or @t119 @t117 @t244 (not @t122)))) % 33.21/33.92 (step @p681 :rule chain_m_resolution :premises (@p680 @p130 @p34 @p655 @p653 @p652 @p46 @p626 @p624 @p623 @p164 @p162 @p161 @p130 @p34 @p129 @p127 @p126 @p97 @p46) :args (@t109 (@list false false true false true false true false true false false false false false false false false false false) (@list @t116 @t118 @t244 @t246 @t242 @t105 @t239 @t241 @t225 @t122 @t123 @t115 @t116 @t118 @t112 @t113 @t106 @t101 @t105))) % 33.21/33.92 (step @p682 :rule refl :args (@t248)) % 33.21/33.92 (step @p683 :rule refl :args (@t250)) % 33.21/33.92 (step @p684 :rule bool-double-not-elim :args (@t104)) % 33.21/33.92 (step @p685 :rule nary_cong :premises (@p684 @p683 @p682) :args ((or (not @t109) @t250 @t248))) % 33.21/33.92 (assume-push @p1067 @t109) % 33.21/33.92 (assume-push @p1068 @t249) % 33.21/33.92 (assume-push @p1069 @t249) % 33.21/33.92 (assume-push @p1070 @t109) % 33.21/33.92 (step @p690 :rule false_intro :premises (@p1067)) % 33.21/33.92 (step @p691 :rule symm :premises (@p47)) % 33.21/33.92 (step @p106 :rule refl :args (@t62)) % 33.21/33.92 (step @p692 :rule cong :premises (@p106 @p691) :args (@t88)) % 33.21/33.92 (step @p693 :rule trans :premises (@p692 @p690)) % 33.21/33.92 (step @p694 :rule false_elim :premises (@p693)) % 33.21/33.92 (step-pop @p1071 :rule scope :premises (@p694)) % 33.21/33.92 (step-pop @p1072 :rule scope :premises (@p1071)) % 33.21/33.92 (step @p695 :rule process_scope :premises (@p1072) :args (@t248)) % 33.21/33.92 (step @p698 :rule and_intro :premises (@p47 @p1067)) % 33.21/33.92 (step @p699 :rule modus_ponens :premises (@p698 @p695)) % 33.21/33.92 (step-pop @p1073 :rule scope :premises (@p699)) % 33.21/33.92 (step-pop @p1074 :rule scope :premises (@p1073)) % 33.21/33.92 (step @p700 :rule process_scope :premises (@p1074) :args (@t248)) % 33.21/33.92 (step @p703 :rule implies_elim :premises (@p700)) % 33.21/33.92 (step @p704 :rule cnf_and_neg :args (@t251)) % 33.21/33.92 (step @p705 :rule resolution :premises (@p704 @p703) :args (true @t251)) % 33.21/33.92 (step @p706 :rule eq_resolve :premises (@p705 @p685)) % 33.21/33.92 (step @p707 :rule reordering :premises (@p706) :args ((or @t104 @t248 @t250))) % 33.21/33.92 (step @p708 :rule chain_m_resolution :premises (@p707 @p681 @p47) :args (@t248 @t151 (@list @t104 @t249))) % 33.21/33.92 (step @p709 :rule instantiate :premises (@p7) :args ((@list @t77 |tptp.'0'| @t62))) % 33.21/33.92 (step @p710 :rule instantiate :premises (@p39) :args ((@list @t62 @t62 @t77))) % 33.21/33.92 (step @p166 :rule instantiate :premises (@p4) :args (@t70)) % 33.21/33.92 (step @p711 :rule cnf_or_pos :args (@t253)) % 33.21/33.92 (step @p712 :rule reordering :premises (@p711) :args ((or @t134 @t252 (not @t253)))) % 33.21/33.92 (step @p713 :rule chain_m_resolution :premises (@p712 @p166 @p710) :args (@t252 @t97 (@list @t124 @t253))) % 33.21/33.93 (step @p714 :rule true_intro :premises (@p713)) % 33.21/33.93 (step @p715 :rule refl :args (@t163)) % 33.21/33.93 (step @p716 :rule cong :premises (@p271 @p715) :args (@t254)) % 33.21/33.93 (step @p717 :rule trans :premises (@p716 @p714)) % 33.21/33.93 (step @p718 :rule true_elim :premises (@p717)) % 33.21/33.93 (step @p719 :rule cnf_equiv_pos2 :args (@t255)) % 33.21/33.93 (step @p720 :rule reordering :premises (@p719) :args ((or @t84 (not @t254) (not @t255)))) % 33.21/33.93 (step @p721 :rule chain_m_resolution :premises (@p720 @p718 @p709) :args (@t84 @t97 (@list @t254 @t255))) % 33.21/33.93 (step @p722 :rule cnf_or_pos :args (@t89)) % 33.21/33.93 (step @p723 :rule reordering :premises (@p722) :args ((or @t85 @t83 @t88 (not @t89)))) % 33.21/33.93 (step @p724 :rule chain_m_resolution :premises (@p723 @p721 @p708 @p69) :args (@t83 @t256 (@list @t84 @t88 @t89))) % 33.21/33.93 (assume-push @p1075 @t130) % 33.21/33.93 (assume-push @p1076 @t105) % 33.21/33.93 (assume-push @p1077 @t257) % 33.21/33.93 (assume-push @p1078 @t249) % 33.21/33.93 (assume-push @p1079 @t257) % 33.21/33.93 (assume-push @p1080 @t130) % 33.21/33.93 (assume-push @p1081 @t105) % 33.21/33.93 (assume-push @p1082 @t249) % 33.21/33.93 (step @p733 :rule true_intro :premises (@p1077)) % 33.21/33.93 (step @p106 :rule refl :args (@t62)) % 33.21/33.93 (step @p107 :rule cong :premises (@p106 @p46) :args (@t76)) % 33.21/33.93 (step @p108 :rule cong :premises (@p107 @p106) :args (@t77)) % 33.21/33.93 (step @p734 :rule cong :premises (@p189 @p108) :args (@t131)) % 33.21/33.93 (step @p691 :rule symm :premises (@p47)) % 33.21/33.93 (step @p735 :rule cong :premises (@p45 @p691) :args (@t82)) % 33.21/33.93 (step @p736 :rule trans :premises (@p735 @p734 @p733)) % 33.21/33.93 (step @p737 :rule true_elim :premises (@p736)) % 33.21/33.93 (step-pop @p1083 :rule scope :premises (@p737)) % 33.21/33.93 (step-pop @p1084 :rule scope :premises (@p1083)) % 33.21/33.93 (step-pop @p1085 :rule scope :premises (@p1084)) % 33.21/33.93 (step-pop @p1086 :rule scope :premises (@p1085)) % 33.21/33.93 (step @p738 :rule process_scope :premises (@p1086) :args (@t82)) % 33.21/33.93 (step @p743 :rule and_intro :premises (@p1077 @p45 @p46 @p47)) % 33.21/33.93 (step @p744 :rule modus_ponens :premises (@p743 @p738)) % 33.21/33.93 (step-pop @p1087 :rule scope :premises (@p744)) % 33.21/33.93 (step-pop @p1088 :rule scope :premises (@p1087)) % 33.21/33.93 (step-pop @p1089 :rule scope :premises (@p1088)) % 33.21/33.93 (step-pop @p1090 :rule scope :premises (@p1089)) % 33.21/33.93 (step @p745 :rule process_scope :premises (@p1090) :args (@t82)) % 33.21/33.93 (step @p750 :rule implies_elim :premises (@p745)) % 33.21/33.93 (step @p751 :rule cnf_and_neg :args (@t258)) % 33.21/33.93 (step @p752 :rule resolution :premises (@p751 @p750) :args (true @t258)) % 33.21/33.93 (step @p753 :rule reordering :premises (@p752) :args ((or @t135 @t108 @t259 @t82 @t250))) % 33.21/33.93 (step @p754 :rule chain_m_resolution :premises (@p753 @p724 @p47 @p46 @p45) :args (@t259 @t260 (@list @t82 @t249 @t105 @t130))) % 33.21/33.93 (step @p755 :rule instantiate :premises (@p7) :args ((@list @t72 @t62 |tptp.'1'|))) % 33.21/33.93 (step @p756 :rule instantiate :premises (@p7) :args ((@list @t62 @t72 |tptp.'1'|))) % 33.21/33.93 (step @p757 :rule instantiate :premises (@p39) :args ((@list @t261 @t71 @t62))) % 33.21/33.93 (step @p106 :rule refl :args (@t62)) % 33.21/33.93 (step @p758 :rule cong :premises (@p106 @p83) :args (@t262)) % 33.21/33.93 (step @p759 :rule trans :premises (@p35 @p758 @p83)) % 33.21/33.93 (step @p760 :rule trans :premises (@p759 @p34)) % 33.21/33.93 (step @p761 :rule cong :premises (@p760 @p88) :args (@t263)) % 33.21/33.93 (step @p762 :rule trans :premises (@p761 @p86 @p80)) % 33.21/33.93 (step @p763 :rule true_elim :premises (@p762)) % 33.21/33.93 (step @p764 :rule cnf_or_pos :args (@t266)) % 33.21/33.93 (step @p765 :rule reordering :premises (@p764) :args ((or @t265 @t264 (not @t266)))) % 33.21/33.93 (step @p766 :rule chain_m_resolution :premises (@p765 @p763 @p757) :args (@t264 @t97 (@list @t263 @t266))) % 33.21/33.93 (step @p767 :rule true_intro :premises (@p766)) % 33.21/33.93 (step @p107 :rule cong :premises (@p106 @p46) :args (@t76)) % 33.21/33.93 (step @p768 :rule symm :premises (@p35)) % 33.21/33.93 (step @p769 :rule cong :premises (@p106 @p34) :args (@t92)) % 33.21/33.93 (step @p770 :rule trans :premises (@p34 @p769 @p768)) % 33.21/33.93 (step @p771 :rule cong :premises (@p106 @p770) :args (@t76)) % 33.21/33.93 (step @p567 :rule cong :premises (@p106 @p87) :args (@t72)) % 33.21/33.93 (step @p772 :rule trans :premises (@p567 @p771)) % 33.21/33.93 (step @p773 :rule cong :premises (@p772 @p107) :args (@t267)) % 33.21/33.93 (step @p774 :rule trans :premises (@p773 @p767)) % 33.21/33.93 (step @p775 :rule true_elim :premises (@p774)) % 33.21/33.93 (step @p776 :rule cnf_equiv_pos2 :args (@t270)) % 33.21/33.93 (step @p777 :rule reordering :premises (@p776) :args ((or @t269 (not @t267) (not @t270)))) % 33.21/33.93 (step @p778 :rule chain_m_resolution :premises (@p777 @p775 @p756) :args (@t269 @t97 (@list @t267 @t270))) % 33.21/33.93 (step @p779 :rule true_intro :premises (@p778)) % 33.21/33.93 (step @p780 :rule refl :args (|tptp.'1'|)) % 33.21/33.93 (step @p781 :rule eq-symm :args (@t268 @t271)) % 33.21/33.93 (step @p782 :rule refl :args (@t5)) % 33.21/33.93 (step @p783 :rule cong :premises (@p782 @p781) :args ((=> @t5 @t272))) % 33.21/33.93 (assume-push @p1091 @t5) % 33.21/33.93 (step @p785 :rule instantiate :premises (@p2) :args ((@list @t62 @t72))) % 33.21/33.93 (step-pop @p1092 :rule scope :premises (@p785)) % 33.21/33.93 (step @p786 :rule process_scope :premises (@p1092) :args (@t272)) % 33.21/33.93 (step @p788 :rule eq_resolve :premises (@p786 @p783)) % 33.21/33.93 (step @p789 :rule implies_elim :premises (@p788)) % 33.21/33.93 (step @p790 :rule chain_m_resolution :premises (@p789 @p2) :args ((= @t271 @t268) @t90 (@list @t5))) % 33.21/33.93 (step @p791 :rule cong :premises (@p790 @p780) :args (@t273)) % 33.21/33.93 (step @p792 :rule trans :premises (@p791 @p779)) % 33.21/33.93 (step @p793 :rule true_elim :premises (@p792)) % 33.21/33.93 (step @p794 :rule cnf_equiv_pos1 :args (@t275)) % 33.21/33.93 (step @p795 :rule reordering :premises (@p794) :args ((or @t274 (not @t273) (not @t275)))) % 33.21/33.93 (step @p796 :rule chain_m_resolution :premises (@p795 @p793 @p755) :args (@t274 @t97 (@list @t273 @t275))) % 33.21/33.93 (step @p797 :rule cnf_or_pos :args (@t279)) % 33.21/33.93 (step @p798 :rule reordering :premises (@p797) :args ((or @t278 @t277 @t257 (not @t279)))) % 33.21/33.93 (step @p799 :rule chain_m_resolution :premises (@p798 @p796 @p754 @p41) :args (@t277 @t256 (@list @t274 @t257 @t279))) % 33.21/33.93 (step @p800 :rule cnf_or_pos :args (@t280)) % 33.21/33.93 (step @p801 :rule reordering :premises (@p800) :args ((or @t120 @t276 (not @t280)))) % 33.21/33.93 (step @p802 :rule chain_m_resolution :premises (@p801 @p799 @p40) :args (@t120 @t151 (@list @t276 @t280))) % 33.21/33.93 (assume-push @p1093 @t118) % 33.21/33.93 (assume-push @p1094 @t281) % 33.21/33.93 (assume-push @p1095 @t283) % 33.21/33.93 (assume-push @p1096 @t284) % 33.21/33.93 (assume-push @p1097 @t284) % 33.21/33.93 (assume-push @p1098 @t283) % 33.21/33.93 (assume-push @p1099 @t281) % 33.21/33.93 (assume-push @p1100 @t118) % 33.21/33.93 (step @p811 :rule true_intro :premises (@p1096)) % 33.21/33.93 (step @p812 :rule trans :premises (@p34 @p769 @p768 @p36)) % 33.21/33.93 (step @p813 :rule cong :premises (@p812 @p106) :args (@t115)) % 33.21/33.93 (step @p814 :rule trans :premises (@p813 @p811)) % 33.21/33.93 (step @p815 :rule true_elim :premises (@p814)) % 33.21/33.93 (step-pop @p1101 :rule scope :premises (@p815)) % 33.21/33.93 (step-pop @p1102 :rule scope :premises (@p1101)) % 33.21/33.93 (step-pop @p1103 :rule scope :premises (@p1102)) % 33.21/33.93 (step-pop @p1104 :rule scope :premises (@p1103)) % 33.21/33.93 (step @p816 :rule process_scope :premises (@p1104) :args (@t115)) % 33.21/33.93 (step @p821 :rule and_intro :premises (@p1096 @p36 @p35 @p34)) % 33.21/33.93 (step @p822 :rule modus_ponens :premises (@p821 @p816)) % 33.21/33.93 (step-pop @p1105 :rule scope :premises (@p822)) % 33.21/33.93 (step-pop @p1106 :rule scope :premises (@p1105)) % 33.21/33.93 (step-pop @p1107 :rule scope :premises (@p1106)) % 33.21/33.93 (step-pop @p1108 :rule scope :premises (@p1107)) % 33.21/33.93 (step @p823 :rule process_scope :premises (@p1108) :args (@t115)) % 33.21/33.93 (step @p828 :rule implies_elim :premises (@p823)) % 33.21/33.93 (step @p829 :rule cnf_and_neg :args (@t285)) % 33.21/33.93 (step @p830 :rule resolution :premises (@p829 @p828) :args (true @t285)) % 33.21/33.93 (step @p831 :rule reordering :premises (@p830) :args ((or @t119 (not @t281) @t115 (not @t283) @t286))) % 33.21/33.93 (step @p832 :rule chain_m_resolution :premises (@p831 @p802 @p36 @p35 @p34) :args (@t286 @t260 (@list @t115 @t283 @t281 @t118))) % 33.21/33.93 (step @p833 :rule cnf_equiv_pos2 :args (@t288)) % 33.21/33.93 (step @p834 :rule reordering :premises (@p833) :args ((or @t284 @t289 (not @t288)))) % 33.21/33.93 (step @p835 :rule chain_m_resolution :premises (@p834 @p832 @p30) :args (@t289 @t151 (@list @t284 @t288))) % 33.21/33.93 (step @p836 :rule instantiate :premises (@p7) :args ((@list |tptp.'0'| @t68 @t62))) % 33.21/33.93 (step @p193 :rule symm :premises (@p171)) % 33.21/33.93 (step @p194 :rule trans :premises (@p193 @p189)) % 33.21/33.93 (step @p837 :rule cong :premises (@p194 @p106) :args ((|tptp.'+'| @t126 @t62))) % 33.21/33.93 (step @p838 :rule instantiate :premises (@p1) :args ((@list |tptp.'0'| @t62 @t62))) % 33.21/33.93 (step @p839 :rule symm :premises (@p838)) % 33.21/33.93 (step @p840 :rule trans :premises (@p839 @p837)) % 33.21/33.93 (step @p841 :rule cong :premises (@p840 @p106) :args (@t290)) % 33.21/33.93 (step @p842 :rule trans :premises (@p841 @p230 @p227)) % 33.21/33.93 (step @p843 :rule true_elim :premises (@p842)) % 33.21/33.93 (step @p844 :rule cnf_equiv_pos1 :args (@t292)) % 33.21/33.93 (step @p845 :rule reordering :premises (@p844) :args ((or @t291 (not @t290) (not @t292)))) % 33.21/33.93 (step @p846 :rule chain_m_resolution :premises (@p845 @p843 @p836) :args (@t291 @t97 (@list @t290 @t292))) % 33.21/33.93 (step @p847 :rule cnf_or_pos :args (@t296)) % 33.21/33.93 (step @p848 :rule reordering :premises (@p847) :args ((or @t295 @t287 @t294 (not @t296)))) % 33.21/33.93 (step @p849 :rule chain_m_resolution :premises (@p848 @p846 @p835 @p29) :args (@t294 @t256 (@list @t291 @t287 @t296))) % 33.21/33.93 (step @p850 :rule cnf_or_pos :args (@t299)) % 33.21/33.93 (step @p851 :rule reordering :premises (@p850) :args ((or @t298 @t293 (not @t299)))) % 33.21/33.93 (step @p852 :rule chain_m_resolution :premises (@p851 @p849 @p19) :args (@t298 @t151 (@list @t293 @t299))) % 33.21/33.93 (assume-push @p1109 @t31) % 33.21/33.93 (step @p854 :rule instantiate :premises (@p8) :args (@t75)) % 33.21/33.93 (step-pop @p1110 :rule scope :premises (@p854)) % 33.21/33.93 (step @p855 :rule process_scope :premises (@p1110) :args (@t297)) % 33.21/33.93 (step @p857 :rule implies_elim :premises (@p855)) % 33.21/33.93 (step @p858 false :rule chain_m_resolution :premises (@p857 @p852 @p8) :args (false @t151 (@list @t297 @t31))) % 33.21/33.93 ) % 33.21/33.93 % SZS output end Proof % 33.21/33.93 % cvc5 exiting %------------------------------------------------------------------------------