%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG029-3 : TPTP v9.2.1. Bugfixed v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:45:26 AM UTC 2026 % Result : Unsatisfiable 61.65s 61.86s % Output : Proof 61.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG029-3 : TPTP v9.2.1. Bugfixed v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:00:04 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/15.71 --- Run --no-e-matching --full-saturate-quant at 6... % 21.52/21.74 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.54/27.76 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.66/33.82 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 61.65/61.86 % SZS status Unsatisfiable % 61.65/61.86 % SZS output start Proof % 61.65/61.87 ( % 61.65/61.87 (declare-sort $$unsorted 0) % 61.65/61.87 (declare-const tptp.cy $$unsorted) % 61.65/61.87 (declare-const tptp.associator (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 61.65/61.87 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 61.65/61.87 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 61.65/61.87 (declare-const tptp.cz $$unsorted) % 61.65/61.87 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 61.65/61.87 (declare-const tptp.cx $$unsorted) % 61.65/61.87 (declare-const tptp.additive_identity $$unsorted) % 61.65/61.87 (define @t1 () (@var "X" $$unsorted)) % 61.65/61.87 (define @t2 () (tptp.add tptp.additive_identity @t1)) % 61.65/61.87 (define @t3 () (@list @t1)) % 61.65/61.87 (define @t4 () (forall @t3 (= @t2 @t1))) % 61.65/61.87 (define @t5 () (tptp.additive_inverse @t1)) % 61.65/61.87 (define @t6 () (tptp.add @t5 @t1)) % 61.65/61.87 (define @t7 () (forall @t3 (= @t6 tptp.additive_identity))) % 61.65/61.87 (define @t8 () (@var "Y" $$unsorted)) % 61.65/61.87 (define @t9 () (tptp.additive_inverse @t8)) % 61.65/61.87 (define @t10 () (tptp.add @t1 @t8)) % 61.65/61.87 (define @t11 () (@list @t1 @t8)) % 61.65/61.87 (define @t12 () (tptp.additive_inverse @t5)) % 61.65/61.87 (define @t13 () (forall @t3 (= @t12 @t1))) % 61.65/61.87 (define @t14 () (@var "Z" $$unsorted)) % 61.65/61.87 (define @t15 () (tptp.multiply @t1 @t14)) % 61.65/61.87 (define @t16 () (tptp.multiply @t1 @t8)) % 61.65/61.87 (define @t17 () (tptp.add @t8 @t14)) % 61.65/61.87 (define @t18 () (@list @t1 @t8 @t14)) % 61.65/61.87 (define @t19 () (tptp.multiply @t8 @t14)) % 61.65/61.87 (define @t20 () (tptp.additive_inverse @t16)) % 61.65/61.87 (define @t21 () (forall @t11 (= (tptp.multiply @t5 @t8) @t20))) % 61.65/61.87 (define @t22 () (tptp.multiply @t1 @t9)) % 61.65/61.87 (define @t23 () (forall @t11 (= @t22 @t20))) % 61.65/61.87 (define @t24 () (tptp.additive_inverse tptp.additive_identity)) % 61.65/61.87 (define @t25 () (= @t1 @t8)) % 61.65/61.87 (define @t26 () (@list @t14 @t1 @t8)) % 61.65/61.87 (define @t27 () (forall @t26 (or (not (= (tptp.add @t14 @t1) (tptp.add @t14 @t8))) @t25))) % 61.65/61.87 (define @t28 () (tptp.multiply @t8 @t1)) % 61.65/61.87 (define @t29 () (tptp.multiply @t1 @t28)) % 61.65/61.87 (define @t30 () (tptp.associator @t1 @t8 @t14)) % 61.65/61.87 (define @t31 () (forall (@list @t8 @t1) (= (tptp.multiply @t28 @t8) (tptp.multiply @t8 @t16)))) % 61.65/61.87 (define @t32 () (tptp.additive_inverse @t30)) % 61.65/61.87 (define @t33 () (forall (@list @t8 @t1 @t14) (= (tptp.associator @t8 @t1 @t14) @t32))) % 61.65/61.87 (define @t34 () (tptp.associator @t14 @t8 @t1)) % 61.65/61.87 (define @t35 () (forall (@list @t14 @t8 @t1) (= @t34 @t32))) % 61.65/61.87 (define @t36 () (tptp.multiply tptp.cy tptp.cz)) % 61.65/61.87 (define @t37 () (tptp.multiply @t36 tptp.cx)) % 61.65/61.87 (define @t38 () (tptp.multiply tptp.cx @t37)) % 61.65/61.87 (define @t39 () (tptp.multiply tptp.cz tptp.cx)) % 61.65/61.87 (define @t40 () (tptp.multiply tptp.cx tptp.cy)) % 61.65/61.87 (define @t41 () (tptp.multiply @t40 @t39)) % 61.65/61.87 (define @t42 () (= @t41 @t38)) % 61.65/61.87 (define @t43 () (@list tptp.cy tptp.cz tptp.cx)) % 61.65/61.87 (define @t44 () (tptp.multiply (tptp.multiply tptp.cx @t36) tptp.cx)) % 61.65/61.87 (define @t45 () (= @t44 @t38)) % 61.65/61.87 (define @t46 () (@list tptp.cx @t36)) % 61.65/61.87 (define @t47 () (= @t38 @t44)) % 61.65/61.87 (define @t48 () (@list false)) % 61.65/61.87 (define @t49 () (tptp.multiply tptp.cy @t39)) % 61.65/61.87 (define @t50 () (@list @t49)) % 61.65/61.87 (define @t51 () (tptp.additive_inverse tptp.cy)) % 61.65/61.87 (define @t52 () (tptp.multiply @t51 @t39)) % 61.65/61.87 (define @t53 () (tptp.additive_inverse @t49)) % 61.65/61.87 (define @t54 () (= @t52 @t53)) % 61.65/61.87 (define @t55 () (@list tptp.cy @t39)) % 61.65/61.87 (define @t56 () (= @t53 @t52)) % 61.65/61.87 (define @t57 () (@list @t21)) % 61.65/61.87 (define @t58 () (tptp.additive_inverse @t38)) % 61.65/61.87 (define @t59 () (@list tptp.cz tptp.cx tptp.cy)) % 61.65/61.87 (define @t60 () (@list tptp.cx tptp.cy @t39)) % 61.65/61.87 (define @t61 () (@list tptp.cx tptp.cz tptp.cy)) % 61.65/61.87 (define @t62 () (tptp.additive_inverse @t37)) % 61.65/61.87 (define @t63 () (tptp.additive_inverse tptp.cz)) % 61.65/61.87 (define @t64 () (tptp.multiply @t63 tptp.cx)) % 61.65/61.87 (define @t65 () (tptp.additive_inverse @t39)) % 61.65/61.87 (define @t66 () (= @t64 @t65)) % 61.65/61.87 (define @t67 () (@list tptp.cz tptp.cx)) % 61.65/61.87 (define @t68 () (= @t65 @t64)) % 61.65/61.87 (define @t69 () (tptp.multiply @t63 @t40)) % 61.65/61.87 (define @t70 () (tptp.multiply tptp.cz @t40)) % 61.65/61.87 (define @t71 () (tptp.additive_inverse @t70)) % 61.65/61.87 (define @t72 () (= @t69 @t71)) % 61.65/61.87 (define @t73 () (@list tptp.cz @t40)) % 61.65/61.87 (define @t74 () (= @t71 @t69)) % 61.65/61.87 (define @t75 () (tptp.multiply @t39 tptp.cy)) % 61.65/61.87 (define @t76 () (tptp.multiply tptp.cx @t49)) % 61.65/61.87 (define @t77 () (tptp.multiply @t65 tptp.cy)) % 61.65/61.87 (define @t78 () (tptp.additive_inverse @t75)) % 61.65/61.87 (define @t79 () (= @t77 @t78)) % 61.65/61.87 (define @t80 () (@list @t39 tptp.cy)) % 61.65/61.87 (define @t81 () (= @t78 @t77)) % 61.65/61.87 (define @t82 () (tptp.multiply tptp.cx @t39)) % 61.65/61.87 (define @t83 () (@list @t82 tptp.cy)) % 61.65/61.87 (define @t84 () (tptp.associator tptp.cx @t39 tptp.cy)) % 61.65/61.87 (define @t85 () (tptp.associator @t39 tptp.cx tptp.cy)) % 61.65/61.87 (define @t86 () (tptp.additive_inverse @t85)) % 61.65/61.87 (define @t87 () (= @t84 @t86)) % 61.65/61.87 (define @t88 () (@list tptp.cx @t39 tptp.cy)) % 61.65/61.87 (define @t89 () (= @t86 @t84)) % 61.65/61.87 (define @t90 () (tptp.add @t37 @t62)) % 61.65/61.87 (define @t91 () (tptp.additive_inverse @t52)) % 61.65/61.87 (define @t92 () (tptp.associator tptp.cx tptp.cy @t39)) % 61.65/61.87 (define @t93 () (tptp.multiply tptp.cy @t65)) % 61.65/61.87 (define @t94 () (tptp.multiply tptp.cx @t93)) % 61.65/61.87 (define @t95 () (tptp.additive_inverse @t94)) % 61.65/61.87 (define @t96 () (tptp.add @t95 @t92)) % 61.65/61.87 (define @t97 () (tptp.multiply @t40 @t65)) % 61.65/61.87 (define @t98 () (tptp.add @t97 @t96)) % 61.65/61.87 (define @t99 () (tptp.add @t97 @t41)) % 61.65/61.87 (define @t100 () (not (= @t98 @t99))) % 61.65/61.87 (define @t101 () (or @t100 (= @t96 @t41))) % 61.65/61.87 (define @t102 () (= @t41 @t96)) % 61.65/61.87 (define @t103 () (= @t99 @t98)) % 61.65/61.87 (define @t104 () (not @t103)) % 61.65/61.87 (define @t105 () (or @t104 @t102)) % 61.65/61.87 (define @t106 () (tptp.multiply tptp.cx @t53)) % 61.65/61.87 (define @t107 () (tptp.additive_inverse @t76)) % 61.65/61.87 (define @t108 () (tptp.additive_inverse @t107)) % 61.65/61.87 (define @t109 () (tptp.additive_inverse @t92)) % 61.65/61.87 (define @t110 () (tptp.associator tptp.cy tptp.cz tptp.cx)) % 61.65/61.87 (define @t111 () (tptp.multiply tptp.cx @t75)) % 61.65/61.87 (define @t112 () (tptp.additive_inverse @t111)) % 61.65/61.87 (define @t113 () (tptp.multiply @t82 tptp.cy)) % 61.65/61.87 (define @t114 () (@list tptp.cx @t75)) % 61.65/61.87 (define @t115 () (tptp.additive_inverse tptp.cx)) % 61.65/61.87 (define @t116 () (tptp.multiply @t115 @t75)) % 61.65/61.87 (define @t117 () (= @t116 @t112)) % 61.65/61.87 (define @t118 () (= @t112 @t116)) % 61.65/61.87 (define @t119 () (= tptp.additive_identity @t24)) % 61.65/61.87 (define @t120 () (tptp.add @t37 @t53)) % 61.65/61.87 (define @t121 () (= @t110 @t120)) % 61.65/61.87 (define @t122 () (= tptp.additive_identity (tptp.add @t58 @t38))) % 61.65/61.87 (define @t123 () (tptp.add @t53 @t49)) % 61.65/61.87 (define @t124 () (= tptp.additive_identity @t123)) % 61.65/61.87 (define @t125 () (= @t53 @t93)) % 61.65/61.87 (define @t126 () (= @t107 @t106)) % 61.65/61.87 (define @t127 () (tptp.multiply tptp.cx @t62)) % 61.65/61.87 (define @t128 () (= @t58 @t127)) % 61.65/61.87 (define @t129 () (tptp.add @t53 @t37)) % 61.65/61.87 (define @t130 () (= @t120 @t129)) % 61.65/61.87 (define @t131 () (tptp.add @t58 @t44)) % 61.65/61.87 (define @t132 () (= (tptp.add @t44 @t58) @t131)) % 61.65/61.87 (define @t133 () (tptp.add @t75 @t71)) % 61.65/61.87 (define @t134 () (tptp.associator tptp.cz tptp.cx tptp.cy)) % 61.65/61.87 (define @t135 () (= @t134 @t133)) % 61.65/61.87 (define @t136 () (tptp.associator tptp.cy tptp.cx @t39)) % 61.65/61.87 (define @t137 () (tptp.additive_inverse @t136)) % 61.65/61.87 (define @t138 () (= @t92 @t137)) % 61.65/61.87 (define @t139 () (tptp.associator tptp.cz tptp.cy tptp.cx)) % 61.65/61.87 (define @t140 () (tptp.additive_inverse @t139)) % 61.65/61.87 (define @t141 () (= @t110 @t140)) % 61.65/61.87 (define @t142 () (= @t136 @t109)) % 61.65/61.87 (define @t143 () (tptp.additive_inverse @t110)) % 61.65/61.87 (define @t144 () (= @t139 @t143)) % 61.65/61.87 (define @t145 () (tptp.associator tptp.cx tptp.cz tptp.cy)) % 61.65/61.87 (define @t146 () (= @t143 @t145)) % 61.65/61.87 (define @t147 () (tptp.additive_inverse @t145)) % 61.65/61.87 (define @t148 () (= @t134 @t147)) % 61.65/61.87 (define @t149 () (= @t137 @t85)) % 61.65/61.87 (define @t150 () (tptp.add @t62 @t37)) % 61.65/61.87 (define @t151 () (= tptp.additive_identity @t150)) % 61.65/61.87 (define @t152 () (tptp.add @t38 @t127)) % 61.65/61.87 (define @t153 () (tptp.multiply tptp.cx @t90)) % 61.65/61.87 (define @t154 () (= @t153 @t152)) % 61.65/61.87 (define @t155 () (tptp.multiply tptp.cx @t51)) % 61.65/61.87 (define @t156 () (tptp.additive_inverse @t40)) % 61.65/61.87 (define @t157 () (= @t156 @t155)) % 61.65/61.87 (define @t158 () (= @t71 (tptp.multiply tptp.cz @t156))) % 61.65/61.87 (define @t159 () (tptp.add @t71 @t75)) % 61.65/61.87 (define @t160 () (= @t133 @t159)) % 61.65/61.87 (define @t161 () (= @t123 (tptp.add @t49 @t53))) % 61.65/61.87 (define @t162 () (tptp.multiply tptp.cx @t70)) % 61.65/61.87 (define @t163 () (= @t113 @t162)) % 61.65/61.87 (define @t164 () (= @t44 (tptp.add tptp.additive_identity @t44))) % 61.65/61.87 (define @t165 () (= @t76 @t108)) % 61.65/61.87 (define @t166 () (= @t49 (tptp.additive_inverse @t53))) % 61.65/61.87 (define @t167 () (= @t150 @t90)) % 61.65/61.87 (define @t168 () (tptp.additive_inverse @t113)) % 61.65/61.87 (define @t169 () (tptp.additive_inverse @t82)) % 61.65/61.87 (define @t170 () (tptp.multiply @t169 tptp.cy)) % 61.65/61.87 (define @t171 () (= @t170 @t168)) % 61.65/61.87 (define @t172 () (tptp.multiply @t39 @t51)) % 61.65/61.87 (define @t173 () (= @t78 @t172)) % 61.65/61.87 (define @t174 () (tptp.multiply @t82 @t51)) % 61.65/61.87 (define @t175 () (= @t168 @t174)) % 61.65/61.87 (define @t176 () (tptp.multiply tptp.cx @t65)) % 61.65/61.87 (define @t177 () (= @t169 @t176)) % 61.65/61.87 (define @t178 () (tptp.multiply tptp.cx @t69)) % 61.65/61.87 (define @t179 () (tptp.multiply (tptp.multiply tptp.cx @t64) tptp.cy)) % 61.65/61.87 (define @t180 () (= @t179 @t178)) % 61.65/61.87 (define @t181 () (tptp.add @t153 @t38)) % 61.65/61.87 (define @t182 () (= (tptp.multiply tptp.cx (tptp.add @t90 @t37)) @t181)) % 61.65/61.87 (define @t183 () (tptp.add @t113 @t112)) % 61.65/61.87 (define @t184 () (= @t84 @t183)) % 61.65/61.87 (define @t185 () (tptp.additive_inverse @t115)) % 61.65/61.87 (define @t186 () (= tptp.cx @t185)) % 61.65/61.87 (define @t187 () (tptp.add @t91 @t53)) % 61.65/61.87 (define @t188 () (tptp.add @t187 @t37)) % 61.65/61.87 (define @t189 () (= (tptp.add @t91 @t129) @t188)) % 61.65/61.87 (define @t190 () (tptp.add @t91 @t110)) % 61.65/61.87 (define @t191 () (tptp.multiply tptp.cx @t190)) % 61.65/61.87 (define @t192 () (= @t191 (tptp.add (tptp.multiply tptp.cx @t91) (tptp.multiply tptp.cx @t110)))) % 61.65/61.87 (define @t193 () (tptp.additive_inverse @t112)) % 61.65/61.87 (define @t194 () (tptp.add @t168 @t193)) % 61.65/61.87 (define @t195 () (= (tptp.additive_inverse @t183) @t194)) % 61.65/61.87 (define @t196 () (= @t112 (tptp.multiply tptp.cx @t78))) % 61.65/61.87 (define @t197 () (tptp.multiply @t185 @t75)) % 61.65/61.87 (define @t198 () (= @t197 (tptp.additive_inverse @t116))) % 61.65/61.87 (define @t199 () (tptp.multiply tptp.cx @t159)) % 61.65/61.87 (define @t200 () (= @t199 (tptp.add (tptp.multiply tptp.cx @t71) @t111))) % 61.65/61.87 (define @t201 () (tptp.multiply @t64 tptp.cy)) % 61.65/61.87 (define @t202 () (tptp.multiply tptp.cx @t201)) % 61.65/61.87 (define @t203 () (tptp.additive_inverse @t202)) % 61.65/61.87 (define @t204 () (tptp.multiply tptp.cx @t172)) % 61.65/61.87 (define @t205 () (tptp.additive_inverse @t204)) % 61.65/61.87 (define @t206 () (tptp.multiply tptp.cz @t155)) % 61.65/61.87 (define @t207 () (and @t119 @t121 @t47 @t122 @t124 @t56 @t125 @t126 @t128 @t130 @t132 @t135 @t138 @t141 @t142 @t144 @t146 @t148 @t149 @t151 @t154 @t68 @t74 @t157 @t158 @t160 @t161 @t163 @t164 @t165 @t166 @t81 @t167 @t171 @t173 @t175 @t177 @t180 @t89 @t182 @t184 @t102 @t186 @t189 @t192 @t195 @t196 @t198 @t118 @t200)) % 61.65/61.87 (assume @p1 @t4) % 61.65/61.87 (assume @p2 (forall @t3 (= (tptp.multiply tptp.additive_identity @t1) tptp.additive_identity))) % 61.65/61.87 (assume @p3 (forall @t3 (= (tptp.multiply @t1 tptp.additive_identity) tptp.additive_identity))) % 61.65/61.87 (assume @p4 @t7) % 61.65/61.87 (assume @p5 (forall @t11 (= (tptp.additive_inverse @t10) (tptp.add @t5 @t9)))) % 61.65/61.87 (assume @p6 @t13) % 61.65/61.87 (assume @p7 (forall @t18 (= (tptp.multiply @t1 @t17) (tptp.add @t16 @t15)))) % 61.65/61.87 (assume @p8 (forall @t18 (= (tptp.multiply @t10 @t14) (tptp.add @t15 @t19)))) % 61.65/61.87 (assume @p9 (forall @t11 (= (tptp.multiply @t16 @t8) (tptp.multiply @t1 (tptp.multiply @t8 @t8))))) % 61.65/61.87 (assume @p10 (forall @t11 (= (tptp.multiply (tptp.multiply @t1 @t1) @t8) (tptp.multiply @t1 @t16)))) % 61.65/61.87 (assume @p11 @t21) % 61.65/61.87 (assume @p12 @t23) % 61.65/61.87 (assume @p13 (= @t24 tptp.additive_identity)) % 61.65/61.87 (assume @p14 (forall @t11 (= @t10 (tptp.add @t8 @t1)))) % 61.65/61.87 (assume @p15 (forall @t18 (= (tptp.add @t1 @t17) (tptp.add @t10 @t14)))) % 61.65/61.87 (assume @p16 (forall (@list @t1 @t14 @t8) (or (not (= (tptp.add @t1 @t14) @t17)) @t25))) % 61.65/61.87 (assume @p17 @t27) % 61.65/61.87 (assume @p18 (forall @t26 (= (tptp.multiply @t14 @t29) (tptp.multiply (tptp.multiply (tptp.multiply @t14 @t1) @t8) @t1)))) % 61.65/61.87 (assume @p19 (forall @t18 (= (tptp.multiply @t29 @t14) (tptp.multiply @t1 (tptp.multiply @t8 @t15))))) % 61.65/61.87 (assume @p20 (forall @t18 (= @t30 (tptp.add (tptp.multiply @t16 @t14) (tptp.additive_inverse (tptp.multiply @t1 @t19)))))) % 61.65/61.87 (assume @p21 @t31) % 61.65/61.87 (assume @p22 @t33) % 61.65/61.87 (assume @p23 @t35) % 61.65/61.87 (assume @p24 (not @t42)) % 61.65/61.87 (step @p25 :rule symm :premises (@p13)) % 61.65/61.87 (step @p26 :rule instantiate :premises (@p20) :args (@t43)) % 61.65/61.87 (step @p27 :rule eq-symm :args (@t44 @t38)) % 61.65/61.87 (step @p28 :rule refl :args (@t31)) % 61.65/61.87 (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t31 @t45))) % 61.65/61.87 (assume-push @p397 @t31) % 61.65/61.87 (step @p31 :rule instantiate :premises (@p21) :args (@t46)) % 61.65/61.87 (step-pop @p398 :rule scope :premises (@p31)) % 61.65/61.87 (step @p32 :rule process_scope :premises (@p398) :args (@t45)) % 61.65/61.87 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 61.65/61.87 (step @p35 :rule implies_elim :premises (@p34)) % 61.65/61.87 (step @p36 :rule chain_m_resolution :premises (@p35 @p21) :args (@t47 @t48 (@list @t31))) % 61.65/61.87 (step @p37 :rule eq-symm :args (@t6 tptp.additive_identity)) % 61.65/61.87 (step @p38 :rule cong :premises (@p37) :args (@t7)) % 61.65/61.87 (step @p39 :rule eq_resolve :premises (@p4 @p38)) % 61.65/61.87 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t38))) % 61.65/61.87 (step @p41 :rule instantiate :premises (@p39) :args (@t50)) % 61.65/61.87 (step @p42 :rule eq-symm :args (@t52 @t53)) % 61.65/61.87 (step @p43 :rule refl :args (@t21)) % 61.65/61.87 (step @p44 :rule cong :premises (@p43 @p42) :args ((=> @t21 @t54))) % 61.65/61.87 (assume-push @p399 @t21) % 61.65/61.87 (step @p46 :rule instantiate :premises (@p11) :args (@t55)) % 61.65/61.87 (step-pop @p400 :rule scope :premises (@p46)) % 61.65/61.87 (step @p47 :rule process_scope :premises (@p400) :args (@t54)) % 61.65/61.87 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 61.65/61.87 (step @p50 :rule implies_elim :premises (@p49)) % 61.65/61.87 (step @p51 :rule chain_m_resolution :premises (@p50 @p11) :args (@t56 @t48 @t57)) % 61.65/61.87 (step @p52 :rule eq-symm :args (@t22 @t20)) % 61.65/61.87 (step @p53 :rule cong :premises (@p52) :args (@t23)) % 61.65/61.87 (step @p54 :rule eq_resolve :premises (@p12 @p53)) % 61.65/61.87 (step @p55 :rule instantiate :premises (@p54) :args (@t55)) % 61.65/61.87 (step @p56 :rule instantiate :premises (@p54) :args ((@list tptp.cx @t49))) % 61.65/61.87 (step @p57 :rule instantiate :premises (@p54) :args ((@list tptp.cx @t37))) % 61.65/61.87 (step @p58 :rule instantiate :premises (@p14) :args ((@list @t37 @t53))) % 61.65/61.87 (step @p59 :rule instantiate :premises (@p14) :args ((@list @t44 @t58))) % 61.65/61.87 (step @p60 :rule instantiate :premises (@p20) :args (@t59)) % 61.65/61.87 (step @p61 :rule instantiate :premises (@p22) :args (@t60)) % 61.65/61.87 (step @p62 :rule instantiate :premises (@p22) :args (@t43)) % 61.65/61.87 (step @p63 :rule instantiate :premises (@p22) :args ((@list tptp.cy tptp.cx @t39))) % 61.65/61.87 (step @p64 :rule instantiate :premises (@p22) :args ((@list tptp.cz tptp.cy tptp.cx))) % 61.65/61.87 (step @p65 :rule eq-symm :args (@t34 @t32)) % 61.65/61.87 (step @p66 :rule cong :premises (@p65) :args (@t35)) % 61.65/61.87 (step @p67 :rule eq_resolve :premises (@p23 @p66)) % 61.65/61.87 (step @p68 :rule instantiate :premises (@p67) :args (@t61)) % 61.65/61.87 (step @p69 :rule instantiate :premises (@p22) :args (@t59)) % 61.65/61.87 (step @p70 :rule instantiate :premises (@p67) :args ((@list @t39 tptp.cx tptp.cy))) % 61.65/61.87 (step @p71 :rule instantiate :premises (@p39) :args ((@list @t37))) % 61.65/61.87 (step @p72 :rule instantiate :premises (@p7) :args ((@list tptp.cx @t37 @t62))) % 61.65/61.87 (step @p73 :rule eq-symm :args (@t64 @t65)) % 61.65/61.87 (step @p74 :rule cong :premises (@p43 @p73) :args ((=> @t21 @t66))) % 61.65/61.87 (assume-push @p401 @t21) % 61.65/61.87 (step @p76 :rule instantiate :premises (@p11) :args (@t67)) % 61.65/61.87 (step-pop @p402 :rule scope :premises (@p76)) % 61.65/61.87 (step @p77 :rule process_scope :premises (@p402) :args (@t66)) % 61.65/61.87 (step @p79 :rule eq_resolve :premises (@p77 @p74)) % 61.65/61.87 (step @p80 :rule implies_elim :premises (@p79)) % 61.65/61.87 (step @p81 :rule chain_m_resolution :premises (@p80 @p11) :args (@t68 @t48 @t57)) % 61.65/61.87 (step @p82 :rule eq-symm :args (@t69 @t71)) % 61.65/61.87 (step @p83 :rule cong :premises (@p43 @p82) :args ((=> @t21 @t72))) % 61.65/61.87 (assume-push @p403 @t21) % 61.65/61.87 (step @p85 :rule instantiate :premises (@p11) :args (@t73)) % 61.65/61.87 (step-pop @p404 :rule scope :premises (@p85)) % 61.65/61.87 (step @p86 :rule process_scope :premises (@p404) :args (@t72)) % 61.65/61.87 (step @p88 :rule eq_resolve :premises (@p86 @p83)) % 61.65/61.87 (step @p89 :rule implies_elim :premises (@p88)) % 61.65/61.87 (step @p90 :rule chain_m_resolution :premises (@p89 @p11) :args (@t74 @t48 @t57)) % 61.65/61.87 (step @p91 :rule instantiate :premises (@p54) :args ((@list tptp.cx tptp.cy))) % 61.65/61.87 (step @p92 :rule instantiate :premises (@p54) :args (@t73)) % 61.65/61.87 (step @p93 :rule instantiate :premises (@p14) :args ((@list @t75 @t71))) % 61.65/61.87 (step @p94 :rule instantiate :premises (@p14) :args ((@list @t53 @t49))) % 61.65/61.87 (step @p95 :rule instantiate :premises (@p19) :args (@t61)) % 61.65/61.87 (step @p96 :rule eq-symm :args (@t2 @t1)) % 61.65/61.87 (step @p97 :rule cong :premises (@p96) :args (@t4)) % 61.65/61.87 (step @p98 :rule eq_resolve :premises (@p1 @p97)) % 61.65/61.87 (step @p99 :rule instantiate :premises (@p98) :args ((@list @t44))) % 61.65/61.87 (step @p100 :rule eq-symm :args (@t12 @t1)) % 61.65/61.87 (step @p101 :rule cong :premises (@p100) :args (@t13)) % 61.65/61.87 (step @p102 :rule eq_resolve :premises (@p6 @p101)) % 61.65/61.87 (step @p103 :rule instantiate :premises (@p102) :args ((@list @t76))) % 61.65/61.87 (step @p104 :rule instantiate :premises (@p102) :args (@t50)) % 61.65/61.87 (step @p105 :rule eq-symm :args (@t77 @t78)) % 61.65/61.87 (step @p106 :rule cong :premises (@p43 @p105) :args ((=> @t21 @t79))) % 61.65/61.87 (assume-push @p405 @t21) % 61.65/61.87 (step @p108 :rule instantiate :premises (@p11) :args (@t80)) % 61.65/61.87 (step-pop @p406 :rule scope :premises (@p108)) % 61.65/61.87 (step @p109 :rule process_scope :premises (@p406) :args (@t79)) % 61.65/61.87 (step @p111 :rule eq_resolve :premises (@p109 @p106)) % 61.65/61.87 (step @p112 :rule implies_elim :premises (@p111)) % 61.65/61.87 (step @p113 :rule chain_m_resolution :premises (@p112 @p11) :args (@t81 @t48 @t57)) % 61.65/61.87 (step @p114 :rule instantiate :premises (@p14) :args ((@list @t62 @t37))) % 61.65/61.87 (step @p115 :rule instantiate :premises (@p11) :args (@t83)) % 61.65/61.87 (step @p116 :rule instantiate :premises (@p54) :args (@t80)) % 61.65/61.87 (step @p117 :rule instantiate :premises (@p54) :args (@t83)) % 61.65/61.87 (step @p118 :rule instantiate :premises (@p54) :args ((@list tptp.cx @t39))) % 61.65/61.87 (step @p119 :rule instantiate :premises (@p19) :args ((@list tptp.cx @t63 tptp.cy))) % 61.65/61.87 (step @p120 :rule eq-symm :args (@t84 @t86)) % 61.65/61.87 (step @p121 :rule refl :args (@t33)) % 61.65/61.87 (step @p122 :rule cong :premises (@p121 @p120) :args ((=> @t33 @t87))) % 61.65/61.87 (assume-push @p407 @t33) % 61.65/61.87 (step @p124 :rule instantiate :premises (@p22) :args (@t88)) % 61.65/61.87 (step-pop @p408 :rule scope :premises (@p124)) % 61.65/61.87 (step @p125 :rule process_scope :premises (@p408) :args (@t87)) % 61.65/61.87 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 61.65/61.87 (step @p128 :rule implies_elim :premises (@p127)) % 61.65/61.87 (step @p129 :rule chain_m_resolution :premises (@p128 @p22) :args (@t89 @t48 (@list @t33))) % 61.65/61.87 (step @p130 :rule instantiate :premises (@p7) :args ((@list tptp.cx @t90 @t37))) % 61.65/61.87 (step @p131 :rule instantiate :premises (@p20) :args (@t88)) % 61.65/61.87 (step @p132 :rule instantiate :premises (@p102) :args ((@list tptp.cx))) % 61.65/61.87 (step @p133 :rule instantiate :premises (@p15) :args ((@list @t91 @t53 @t37))) % 61.65/61.87 (step @p134 :rule eq-symm :args (@t96 @t41)) % 61.65/61.87 (step @p135 :rule eq-symm :args (@t98 @t99)) % 61.65/61.87 (step @p136 :rule cong :premises (@p135) :args (@t100)) % 61.65/61.87 (step @p137 :rule nary_cong :premises (@p136 @p134) :args (@t101)) % 61.65/61.87 (step @p138 :rule refl :args (@t27)) % 61.65/61.87 (step @p139 :rule cong :premises (@p138 @p137) :args ((=> @t27 @t101))) % 61.65/61.87 (assume-push @p409 @t27) % 61.65/61.87 (step @p141 :rule instantiate :premises (@p17) :args ((@list @t97 @t96 @t41))) % 61.65/61.87 (step-pop @p410 :rule scope :premises (@p141)) % 61.65/61.87 (step @p142 :rule process_scope :premises (@p410) :args (@t101)) % 61.65/61.87 (step @p144 :rule eq_resolve :premises (@p142 @p139)) % 61.65/61.87 (step @p145 :rule implies_elim :premises (@p144)) % 61.65/61.87 (step @p146 :rule chain_m_resolution :premises (@p145 @p17) :args (@t105 @t48 (@list @t27))) % 61.65/61.87 (step @p147 :rule instantiate :premises (@p15) :args ((@list @t97 @t95 @t92))) % 61.65/61.87 (step @p148 :rule symm :premises (@p147)) % 61.65/61.87 (step @p149 :rule refl :args (@t92)) % 61.65/61.87 (step @p150 :rule refl :args (tptp.cx)) % 61.65/61.87 (step @p151 :rule cong :premises (@p150 @p55) :args (@t106)) % 61.65/61.87 (step @p152 :rule trans :premises (@p56 @p151)) % 61.65/61.87 (step @p153 :rule cong :premises (@p152) :args (@t108)) % 61.65/61.87 (step @p154 :rule instantiate :premises (@p54) :args ((@list @t40 @t39))) % 61.65/61.87 (step @p155 :rule cong :premises (@p154 @p153) :args ((tptp.add (tptp.additive_inverse @t41) @t108))) % 61.65/61.87 (step @p156 :rule instantiate :premises (@p5) :args ((@list @t41 @t107))) % 61.65/61.87 (step @p157 :rule instantiate :premises (@p20) :args (@t60)) % 61.65/61.87 (step @p158 :rule cong :premises (@p157) :args (@t109)) % 61.65/61.87 (step @p159 :rule trans :premises (@p158 @p156 @p155)) % 61.65/61.87 (step @p160 :rule cong :premises (@p159 @p149) :args ((tptp.add @t109 @t92))) % 61.65/61.87 (step @p161 :rule instantiate :premises (@p39) :args ((@list @t92))) % 61.65/61.87 (step @p162 :rule instantiate :premises (@p39) :args ((@list @t41))) % 61.65/61.87 (step @p163 :rule symm :premises (@p162)) % 61.65/61.87 (step @p164 :rule refl :args (@t41)) % 61.65/61.87 (step @p165 :rule symm :premises (@p154)) % 61.65/61.87 (step @p166 :rule cong :premises (@p165 @p164) :args (@t99)) % 61.65/61.87 (step @p167 :rule trans :premises (@p166 @p163 @p161 @p160 @p148)) % 61.65/61.87 (step @p168 :rule cnf_or_pos :args (@t105)) % 61.65/61.87 (step @p169 :rule reordering :premises (@p168) :args ((or @t102 @t104 (not @t105)))) % 61.65/61.87 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p146) :args (@t102 (@list false false) (@list @t103 @t105))) % 61.65/61.87 (step @p171 :rule instantiate :premises (@p7) :args ((@list tptp.cx @t91 @t110))) % 61.65/61.87 (step @p172 :rule instantiate :premises (@p5) :args ((@list @t113 @t112))) % 61.65/61.87 (step @p173 :rule instantiate :premises (@p54) :args (@t114)) % 61.65/61.87 (step @p174 :rule instantiate :premises (@p11) :args ((@list @t115 @t75))) % 61.65/61.87 (step @p175 :rule eq-symm :args (@t116 @t112)) % 61.65/61.87 (step @p176 :rule cong :premises (@p43 @p175) :args ((=> @t21 @t117))) % 61.65/61.87 (assume-push @p411 @t21) % 61.65/61.87 (step @p178 :rule instantiate :premises (@p11) :args (@t114)) % 61.65/61.87 (step-pop @p412 :rule scope :premises (@p178)) % 61.65/61.87 (step @p179 :rule process_scope :premises (@p412) :args (@t117)) % 61.65/61.87 (step @p181 :rule eq_resolve :premises (@p179 @p176)) % 61.65/61.87 (step @p182 :rule implies_elim :premises (@p181)) % 61.65/61.87 (step @p183 :rule chain_m_resolution :premises (@p182 @p11) :args (@t118 @t48 @t57)) % 61.65/61.87 (step @p184 :rule instantiate :premises (@p7) :args ((@list tptp.cx @t71 @t75))) % 61.65/61.87 (assume-push @p413 @t119) % 61.65/61.87 (assume-push @p414 @t121) % 61.65/61.87 (assume-push @p415 @t47) % 61.65/61.87 (assume-push @p416 @t122) % 61.65/61.87 (assume-push @p417 @t124) % 61.65/61.87 (assume-push @p418 @t56) % 61.65/61.87 (assume-push @p419 @t125) % 61.65/61.87 (assume-push @p420 @t126) % 61.65/61.87 (assume-push @p421 @t128) % 61.65/61.87 (assume-push @p422 @t130) % 61.65/61.87 (assume-push @p423 @t132) % 61.65/61.87 (assume-push @p424 @t135) % 61.65/61.87 (assume-push @p425 @t138) % 61.65/61.87 (assume-push @p426 @t141) % 61.65/61.87 (assume-push @p427 @t142) % 61.65/61.87 (assume-push @p428 @t144) % 61.65/61.87 (assume-push @p429 @t146) % 61.65/61.87 (assume-push @p430 @t148) % 61.65/61.87 (assume-push @p431 @t149) % 61.65/61.87 (assume-push @p432 @t151) % 61.65/61.87 (assume-push @p433 @t154) % 61.65/61.87 (assume-push @p434 @t68) % 61.65/61.87 (assume-push @p435 @t74) % 61.65/61.87 (assume-push @p436 @t157) % 61.65/61.87 (assume-push @p437 @t158) % 61.65/61.87 (assume-push @p438 @t160) % 61.65/61.87 (assume-push @p439 @t161) % 61.65/61.87 (assume-push @p440 @t163) % 61.65/61.87 (assume-push @p441 @t164) % 61.65/61.87 (assume-push @p442 @t165) % 61.65/61.87 (assume-push @p443 @t166) % 61.65/61.87 (assume-push @p444 @t81) % 61.65/61.87 (assume-push @p445 @t167) % 61.65/61.87 (assume-push @p446 @t171) % 61.65/61.87 (assume-push @p447 @t173) % 61.65/61.87 (assume-push @p448 @t175) % 61.65/61.87 (assume-push @p449 @t177) % 61.65/61.87 (assume-push @p450 @t180) % 61.65/61.87 (assume-push @p451 @t89) % 61.65/61.87 (assume-push @p452 @t182) % 61.65/61.87 (assume-push @p453 @t184) % 61.65/61.87 (assume-push @p454 @t102) % 61.65/61.87 (assume-push @p455 @t186) % 61.65/61.87 (assume-push @p456 @t189) % 61.65/61.87 (assume-push @p457 @t192) % 61.65/61.87 (assume-push @p458 @t195) % 61.65/61.87 (assume-push @p459 @t196) % 61.65/61.87 (assume-push @p460 @t198) % 61.65/61.87 (assume-push @p461 @t118) % 61.65/61.87 (assume-push @p462 @t200) % 61.65/61.87 (step @p31 :rule instantiate :premises (@p21) :args (@t46)) % 61.65/61.87 (step @p235 :rule symm :premises (@p99)) % 61.65/61.87 (step @p236 :rule refl :args (@t44)) % 61.65/61.87 (step @p237 :rule cong :premises (@p13 @p236) :args ((tptp.add @t24 @t44))) % 61.65/61.87 (step @p238 :rule symm :premises (@p40)) % 61.65/61.87 (step @p239 :rule refl :args (@t58)) % 61.65/61.87 (step @p240 :rule cong :premises (@p239 @p31) :args (@t131)) % 61.65/61.87 (step @p241 :rule symm :premises (@p57)) % 61.65/61.87 (step @p242 :rule cong :premises (@p36 @p241) :args (@t152)) % 61.65/61.87 (step @p243 :rule trans :premises (@p72 @p242 @p59 @p240 @p238 @p25)) % 61.65/61.87 (step @p244 :rule cong :premises (@p243 @p36) :args (@t181)) % 61.65/61.87 (step @p245 :rule refl :args (@t37)) % 61.65/61.87 (step @p246 :rule trans :premises (@p13 @p71 @p114)) % 61.65/61.87 (step @p247 :rule cong :premises (@p246 @p245) :args ((tptp.add @t24 @t37))) % 61.65/61.87 (step @p248 :rule symm :premises (@p41)) % 61.65/61.87 (step @p249 :rule symm :premises (@p94)) % 61.65/61.87 (step @p250 :rule refl :args (@t53)) % 61.65/61.87 (step @p251 :rule symm :premises (@p104)) % 61.65/61.87 (step @p46 :rule instantiate :premises (@p11) :args (@t55)) % 61.65/61.87 (step @p252 :rule cong :premises (@p46) :args (@t91)) % 61.65/61.87 (step @p253 :rule trans :premises (@p252 @p251)) % 61.65/61.87 (step @p254 :rule cong :premises (@p253 @p250) :args (@t187)) % 61.65/61.87 (step @p255 :rule trans :premises (@p254 @p249 @p248 @p25)) % 61.65/61.87 (step @p256 :rule cong :premises (@p255 @p245) :args (@t188)) % 61.65/61.87 (step @p257 :rule trans :premises (@p26 @p58)) % 61.65/61.87 (step @p258 :rule refl :args (@t91)) % 61.65/61.87 (step @p259 :rule cong :premises (@p258 @p257) :args (@t190)) % 61.65/61.87 (step @p260 :rule trans :premises (@p259 @p133 @p256 @p247)) % 61.65/61.87 (step @p261 :rule cong :premises (@p150 @p260) :args (@t191)) % 61.65/61.87 (step @p262 :rule symm :premises (@p171)) % 61.65/61.87 (step @p263 :rule symm :premises (@p62)) % 61.65/61.87 (step @p264 :rule cong :premises (@p150 @p263) :args ((tptp.multiply tptp.cx @t140))) % 61.65/61.87 (step @p265 :rule symm :premises (@p64)) % 61.65/61.87 (step @p266 :rule symm :premises (@p68)) % 61.65/61.87 (step @p267 :rule trans :premises (@p266 @p265)) % 61.65/61.87 (step @p268 :rule cong :premises (@p267) :args (@t147)) % 61.65/61.87 (step @p269 :rule symm :premises (@p60)) % 61.65/61.87 (step @p270 :rule symm :premises (@p93)) % 61.65/61.87 (step @p271 :rule trans :premises (@p270 @p269 @p69 @p268)) % 61.65/61.87 (step @p272 :rule cong :premises (@p150 @p271) :args (@t199)) % 61.65/61.87 (step @p273 :rule symm :premises (@p184)) % 61.65/61.87 (step @p274 :rule refl :args (@t75)) % 61.65/61.87 (step @p275 :rule symm :premises (@p132)) % 61.65/61.87 (step @p276 :rule cong :premises (@p275 @p274) :args (@t197)) % 61.65/61.87 (step @p277 :rule symm :premises (@p174)) % 61.65/61.87 (step @p278 :rule symm :premises (@p173)) % 61.65/61.87 (step @p108 :rule instantiate :premises (@p11) :args (@t80)) % 61.65/61.87 (step @p279 :rule refl :args (tptp.cy)) % 61.65/61.87 (step @p76 :rule instantiate :premises (@p11) :args (@t67)) % 61.65/61.87 (step @p280 :rule cong :premises (@p76 @p279) :args (@t201)) % 61.65/61.87 (step @p281 :rule trans :premises (@p280 @p108)) % 61.65/61.87 (step @p282 :rule cong :premises (@p150 @p281) :args (@t202)) % 61.65/61.87 (step @p283 :rule trans :premises (@p282 @p278 @p183)) % 61.65/61.87 (step @p284 :rule cong :premises (@p283) :args (@t203)) % 61.65/61.87 (step @p285 :rule symm :premises (@p280)) % 61.65/61.87 (step @p286 :rule symm :premises (@p116)) % 61.65/61.87 (step @p287 :rule trans :premises (@p286 @p113 @p285)) % 61.65/61.87 (step @p288 :rule cong :premises (@p150 @p287) :args (@t204)) % 61.65/61.87 (step @p289 :rule cong :premises (@p288) :args (@t205)) % 61.65/61.87 (step @p290 :rule trans :premises (@p289 @p284 @p277 @p276)) % 61.65/61.87 (step @p291 :rule symm :premises (@p92)) % 61.65/61.87 (step @p292 :rule symm :premises (@p91)) % 61.65/61.87 (step @p293 :rule refl :args (tptp.cz)) % 61.65/61.87 (step @p294 :rule cong :premises (@p293 @p292) :args (@t206)) % 61.65/61.87 (step @p295 :rule trans :premises (@p294 @p291)) % 61.65/61.87 (step @p296 :rule cong :premises (@p150 @p295) :args ((tptp.multiply tptp.cx @t206))) % 61.65/61.87 (step @p297 :rule symm :premises (@p294)) % 61.65/61.87 (step @p85 :rule instantiate :premises (@p11) :args (@t73)) % 61.65/61.87 (step @p298 :rule trans :premises (@p85 @p92 @p297)) % 61.65/61.87 (step @p299 :rule cong :premises (@p150 @p298) :args (@t178)) % 61.65/61.87 (step @p300 :rule cong :premises (@p150 @p81) :args (@t176)) % 61.65/61.87 (step @p301 :rule trans :premises (@p118 @p300)) % 61.65/61.87 (step @p302 :rule cong :premises (@p301 @p279) :args (@t170)) % 61.65/61.87 (step @p303 :rule symm :premises (@p115)) % 61.65/61.87 (step @p304 :rule symm :premises (@p95)) % 61.65/61.87 (step @p305 :rule cong :premises (@p304) :args ((tptp.additive_inverse @t162))) % 61.65/61.87 (step @p306 :rule trans :premises (@p305 @p303 @p302 @p119 @p299 @p296)) % 61.65/61.87 (step @p307 :rule symm :premises (@p305)) % 61.65/61.87 (step @p308 :rule symm :premises (@p117)) % 61.65/61.87 (step @p309 :rule trans :premises (@p308 @p307)) % 61.65/61.87 (step @p310 :rule trans :premises (@p309 @p306)) % 61.65/61.87 (step @p311 :rule cong :premises (@p310 @p290) :args ((tptp.add @t174 @t205))) % 61.65/61.87 (step @p312 :rule symm :premises (@p289)) % 61.65/61.87 (step @p313 :rule symm :premises (@p309)) % 61.65/61.87 (step @p314 :rule symm :premises (@p302)) % 61.65/61.87 (step @p315 :rule trans :premises (@p314 @p115 @p307)) % 61.65/61.87 (step @p316 :rule trans :premises (@p315 @p313)) % 61.65/61.87 (step @p317 :rule cong :premises (@p316 @p312) :args ((tptp.add @t179 @t203))) % 61.65/61.87 (step @p318 :rule symm :premises (@p282)) % 61.65/61.87 (step @p319 :rule trans :premises (@p173 @p318)) % 61.65/61.87 (step @p320 :rule cong :premises (@p319) :args (@t193)) % 61.65/61.87 (step @p321 :rule symm :premises (@p315)) % 61.65/61.87 (step @p322 :rule trans :premises (@p307 @p321)) % 61.65/61.87 (step @p323 :rule cong :premises (@p322 @p320) :args (@t194)) % 61.65/61.87 (step @p324 :rule trans :premises (@p61 @p70)) % 61.65/61.87 (step @p325 :rule cong :premises (@p324) :args (@t109)) % 61.65/61.87 (step @p326 :rule trans :premises (@p63 @p325 @p129 @p131)) % 61.65/61.87 (step @p327 :rule cong :premises (@p326) :args (@t137)) % 61.65/61.87 (step @p328 :rule trans :premises (@p61 @p327 @p172 @p323 @p317 @p311 @p273 @p272 @p264)) % 61.65/61.87 (step @p329 :rule symm :premises (@p253)) % 61.65/61.87 (step @p330 :rule cong :premises (@p150 @p329) :args (@t76)) % 61.65/61.87 (step @p331 :rule symm :premises (@p103)) % 61.65/61.87 (step @p332 :rule trans :premises (@p331 @p330)) % 61.65/61.87 (step @p333 :rule symm :premises (@p56)) % 61.65/61.87 (step @p334 :rule symm :premises (@p55)) % 61.65/61.87 (step @p335 :rule cong :premises (@p150 @p334) :args (@t94)) % 61.65/61.87 (step @p336 :rule trans :premises (@p335 @p333)) % 61.65/61.87 (step @p337 :rule cong :premises (@p336) :args (@t95)) % 61.65/61.87 (step @p338 :rule trans :premises (@p337 @p332)) % 61.65/61.87 (step @p339 :rule cong :premises (@p338 @p328) :args (@t96)) % 61.65/61.87 (step @p340 :rule trans :premises (@p170 @p339 @p262 @p261 @p130 @p244 @p237 @p235 @p31)) % 61.65/61.87 (step-pop @p463 :rule scope :premises (@p340)) % 61.65/61.87 (step-pop @p464 :rule scope :premises (@p463)) % 61.65/61.87 (step-pop @p465 :rule scope :premises (@p464)) % 61.65/61.87 (step-pop @p466 :rule scope :premises (@p465)) % 61.65/61.87 (step-pop @p467 :rule scope :premises (@p466)) % 61.65/61.87 (step-pop @p468 :rule scope :premises (@p467)) % 61.65/61.87 (step-pop @p469 :rule scope :premises (@p468)) % 61.65/61.87 (step-pop @p470 :rule scope :premises (@p469)) % 61.65/61.87 (step-pop @p471 :rule scope :premises (@p470)) % 61.65/61.87 (step-pop @p472 :rule scope :premises (@p471)) % 61.65/61.87 (step-pop @p473 :rule scope :premises (@p472)) % 61.65/61.87 (step-pop @p474 :rule scope :premises (@p473)) % 61.65/61.87 (step-pop @p475 :rule scope :premises (@p474)) % 61.65/61.87 (step-pop @p476 :rule scope :premises (@p475)) % 61.65/61.87 (step-pop @p477 :rule scope :premises (@p476)) % 61.65/61.87 (step-pop @p478 :rule scope :premises (@p477)) % 61.65/61.87 (step-pop @p479 :rule scope :premises (@p478)) % 61.65/61.87 (step-pop @p480 :rule scope :premises (@p479)) % 61.65/61.87 (step-pop @p481 :rule scope :premises (@p480)) % 61.65/61.87 (step-pop @p482 :rule scope :premises (@p481)) % 61.65/61.87 (step-pop @p483 :rule scope :premises (@p482)) % 61.65/61.87 (step-pop @p484 :rule scope :premises (@p483)) % 61.65/61.87 (step-pop @p485 :rule scope :premises (@p484)) % 61.65/61.87 (step-pop @p486 :rule scope :premises (@p485)) % 61.65/61.87 (step-pop @p487 :rule scope :premises (@p486)) % 61.65/61.87 (step-pop @p488 :rule scope :premises (@p487)) % 61.65/61.87 (step-pop @p489 :rule scope :premises (@p488)) % 61.65/61.87 (step-pop @p490 :rule scope :premises (@p489)) % 61.65/61.87 (step-pop @p491 :rule scope :premises (@p490)) % 61.65/61.87 (step-pop @p492 :rule scope :premises (@p491)) % 61.65/61.87 (step-pop @p493 :rule scope :premises (@p492)) % 61.65/61.87 (step-pop @p494 :rule scope :premises (@p493)) % 61.65/61.87 (step-pop @p495 :rule scope :premises (@p494)) % 61.65/61.87 (step-pop @p496 :rule scope :premises (@p495)) % 61.65/61.87 (step-pop @p497 :rule scope :premises (@p496)) % 61.65/61.87 (step-pop @p498 :rule scope :premises (@p497)) % 61.65/61.87 (step-pop @p499 :rule scope :premises (@p498)) % 61.65/61.87 (step-pop @p500 :rule scope :premises (@p499)) % 61.65/61.87 (step-pop @p501 :rule scope :premises (@p500)) % 61.65/61.87 (step-pop @p502 :rule scope :premises (@p501)) % 61.65/61.87 (step-pop @p503 :rule scope :premises (@p502)) % 61.65/61.87 (step-pop @p504 :rule scope :premises (@p503)) % 61.65/61.87 (step-pop @p505 :rule scope :premises (@p504)) % 61.65/61.87 (step-pop @p506 :rule scope :premises (@p505)) % 61.65/61.87 (step-pop @p507 :rule scope :premises (@p506)) % 61.65/61.87 (step-pop @p508 :rule scope :premises (@p507)) % 61.65/61.87 (step-pop @p509 :rule scope :premises (@p508)) % 61.65/61.87 (step-pop @p510 :rule scope :premises (@p509)) % 61.65/61.87 (step-pop @p511 :rule scope :premises (@p510)) % 61.65/61.87 (step-pop @p512 :rule scope :premises (@p511)) % 61.65/61.87 (step @p341 :rule process_scope :premises (@p512) :args (@t42)) % 61.65/61.87 (step @p392 :rule implies_elim :premises (@p341)) % 61.65/61.87 (step @p393 :rule cnf_and_neg :args (@t207)) % 61.65/61.87 (step @p394 :rule resolution :premises (@p393 @p392) :args (true @t207)) % 61.65/61.87 (step @p395 :rule reordering :premises (@p394) :args ((or @t42 (not @t119) (not @t121) (not @t47) (not @t122) (not @t124) (not @t56) (not @t125) (not @t126) (not @t128) (not @t130) (not @t132) (not @t135) (not @t138) (not @t141) (not @t142) (not @t144) (not @t146) (not @t148) (not @t149) (not @t151) (not @t154) (not @t68) (not @t74) (not @t157) (not @t158) (not @t160) (not @t161) (not @t163) (not @t164) (not @t165) (not @t166) (not @t81) (not @t167) (not @t171) (not @t173) (not @t175) (not @t177) (not @t180) (not @t89) (not @t182) (not @t184) (not @t102) (not @t186) (not @t189) (not @t192) (not @t195) (not @t196) (not @t198) (not @t118) (not @t200)))) % 61.65/61.87 (step @p396 false :rule chain_m_resolution :premises (@p395 @p184 @p183 @p174 @p173 @p172 @p171 @p170 @p133 @p132 @p131 @p130 @p129 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p104 @p103 @p99 @p95 @p94 @p93 @p92 @p91 @p90 @p81 @p72 @p71 @p70 @p69 @p68 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p51 @p41 @p40 @p36 @p26 @p24 @p25) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true false) (@list @t200 @t118 @t198 @t196 @t195 @t192 @t102 @t189 @t186 @t184 @t182 @t89 @t180 @t177 @t175 @t173 @t171 @t167 @t81 @t166 @t165 @t164 @t163 @t161 @t160 @t158 @t157 @t74 @t68 @t154 @t151 @t149 @t148 @t146 @t144 @t142 @t141 @t138 @t135 @t132 @t130 @t128 @t126 @t125 @t56 @t124 @t122 @t47 @t121 @t42 @t119))) % 61.65/61.87 ) % 61.65/61.89 % SZS output end Proof % 61.65/61.89 % cvc5 exiting %------------------------------------------------------------------------------