%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV487+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:01:39 AM UTC 2026 % Result : Theorem 15.96s 16.18s % Output : Proof 15.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV487+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.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 20:20:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.96/16.18 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.96/16.18 --- Run --no-e-matching --full-saturate-quant at 6... % 15.96/16.18 % SZS status Theorem % 15.96/16.18 % SZS output start Proof % 15.96/16.18 ( % 15.96/16.18 (declare-sort $$unsorted 0) % 15.96/16.18 (declare-const tptp.n $$unsorted) % 15.96/16.18 (declare-const tptp.lu (-> $$unsorted $$unsorted $$unsorted)) % 15.96/16.18 (declare-const tptp.real_one $$unsorted) % 15.96/16.18 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 15.96/16.18 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 15.96/16.18 (declare-const tptp.real_zero $$unsorted) % 15.96/16.18 (declare-const tptp.int_zero $$unsorted) % 15.96/16.18 (declare-const tptp.int_one $$unsorted) % 15.96/16.18 (declare-const tptp.int_leq (-> $$unsorted $$unsorted Bool)) % 15.96/16.18 (declare-const tptp.int_less (-> $$unsorted $$unsorted Bool)) % 15.96/16.18 (define @t1 () (@var "J" $$unsorted)) % 15.96/16.18 (define @t2 () (@var "I" $$unsorted)) % 15.96/16.18 (define @t3 () (= @t2 @t1)) % 15.96/16.18 (define @t4 () (tptp.int_less @t2 @t1)) % 15.96/16.18 (define @t5 () (@list @t2 @t1)) % 15.96/16.18 (define @t6 () (forall @t5 (= (tptp.int_leq @t2 @t1) (or @t4 @t3)))) % 15.96/16.18 (define @t7 () (@var "K" $$unsorted)) % 15.96/16.18 (define @t8 () (tptp.int_less @t2 @t7)) % 15.96/16.18 (define @t9 () (tptp.int_less @t1 @t7)) % 15.96/16.18 (define @t10 () (and @t4 @t9)) % 15.96/16.18 (define @t11 () (forall (@list @t2 @t1 @t7) (=> @t10 @t8))) % 15.96/16.18 (define @t12 () (not @t3)) % 15.96/16.18 (define @t13 () (forall @t5 (=> @t4 @t12))) % 15.96/16.18 (define @t14 () (@list @t2)) % 15.96/16.18 (define @t15 () (@var "J2" $$unsorted)) % 15.96/16.18 (define @t16 () (@var "J1" $$unsorted)) % 15.96/16.18 (define @t17 () (@var "I2" $$unsorted)) % 15.96/16.18 (define @t18 () (@var "I1" $$unsorted)) % 15.96/16.18 (define @t19 () (tptp.int_less tptp.int_zero @t7)) % 15.96/16.18 (define @t20 () (tptp.plus @t2 @t7)) % 15.96/16.18 (define @t21 () (and (= @t20 @t1) @t19)) % 15.96/16.18 (define @t22 () (@list @t7)) % 15.96/16.18 (define @t23 () (exists @t22 @t21)) % 15.96/16.18 (define @t24 () (= @t4 @t23)) % 15.96/16.18 (define @t25 () (forall @t5 @t24)) % 15.96/16.18 (define @t26 () (tptp.int_leq tptp.int_one @t2)) % 15.96/16.18 (define @t27 () (forall @t14 (= (tptp.int_less tptp.int_zero @t2) @t26))) % 15.96/16.18 (define @t28 () (@var "C" $$unsorted)) % 15.96/16.18 (define @t29 () (tptp.plus @t7 @t28)) % 15.96/16.18 (define @t30 () (= (tptp.a @t7 @t29) (tptp.lu @t7 @t29))) % 15.96/16.18 (define @t31 () (tptp.int_leq @t7 @t2)) % 15.96/16.18 (define @t32 () (tptp.int_leq tptp.int_one @t7)) % 15.96/16.18 (define @t33 () (and @t32 @t31)) % 15.96/16.18 (define @t34 () (forall @t22 (=> @t33 @t30))) % 15.96/16.18 (define @t35 () (= @t1 (tptp.plus @t2 @t28))) % 15.96/16.18 (define @t36 () (tptp.int_leq tptp.int_zero @t28)) % 15.96/16.18 (define @t37 () (and @t36 @t35)) % 15.96/16.18 (define @t38 () (=> @t37 @t34)) % 15.96/16.18 (define @t39 () (@list @t28)) % 15.96/16.18 (define @t40 () (forall @t39 @t38)) % 15.96/16.18 (define @t41 () (tptp.a @t29 @t7)) % 15.96/16.18 (define @t42 () (tptp.int_leq @t7 @t1)) % 15.96/16.18 (define @t43 () (and @t32 @t42)) % 15.96/16.18 (define @t44 () (=> @t43 (= @t41 tptp.real_zero))) % 15.96/16.18 (define @t45 () (forall @t22 @t44)) % 15.96/16.18 (define @t46 () (= @t2 (tptp.plus @t1 @t28))) % 15.96/16.18 (define @t47 () (tptp.int_less tptp.int_zero @t28)) % 15.96/16.18 (define @t48 () (and @t47 @t46)) % 15.96/16.18 (define @t49 () (=> @t48 @t45)) % 15.96/16.18 (define @t50 () (forall @t39 @t49)) % 15.96/16.18 (define @t51 () (and @t50 @t40)) % 15.96/16.18 (define @t52 () (tptp.int_leq @t1 tptp.n)) % 15.96/16.18 (define @t53 () (tptp.int_leq tptp.int_one @t1)) % 15.96/16.18 (define @t54 () (tptp.int_leq @t2 tptp.n)) % 15.96/16.18 (define @t55 () (and @t26 @t54 @t53 @t52)) % 15.96/16.18 (define @t56 () (=> @t55 @t51)) % 15.96/16.18 (define @t57 () (forall @t5 @t56)) % 15.96/16.18 (define @t58 () (tptp.a @t2 @t1)) % 15.96/16.18 (define @t59 () (tptp.int_less @t1 @t2)) % 15.96/16.18 (define @t60 () (and @t53 @t59 @t54)) % 15.96/16.18 (define @t61 () (=> @t60 (= @t58 tptp.real_zero))) % 15.96/16.18 (define @t62 () (forall @t5 @t61)) % 15.96/16.18 (define @t63 () (not @t62)) % 15.96/16.18 (define @t64 () (= tptp.real_zero @t58)) % 15.96/16.18 (define @t65 () (not @t54)) % 15.96/16.18 (define @t66 () (not @t59)) % 15.96/16.18 (define @t67 () (not @t53)) % 15.96/16.18 (define @t68 () (or @t67 @t66 @t65 @t64)) % 15.96/16.18 (define @t69 () (or @t67 @t66 @t65)) % 15.96/16.18 (define @t70 () (forall @t5 @t68)) % 15.96/16.18 (define @t71 () (@quantifiers_skolemize @t70 0)) % 15.96/16.18 (define @t72 () (tptp.int_leq @t71 tptp.n)) % 15.96/16.18 (define @t73 () (@quantifiers_skolemize @t70 1)) % 15.96/16.18 (define @t74 () (= tptp.real_zero (tptp.a @t71 @t73))) % 15.96/16.18 (define @t75 () (not @t72)) % 15.96/16.18 (define @t76 () (tptp.int_less @t73 @t71)) % 15.96/16.18 (define @t77 () (not @t76)) % 15.96/16.18 (define @t78 () (tptp.int_leq tptp.int_one @t73)) % 15.96/16.18 (define @t79 () (not @t78)) % 15.96/16.18 (define @t80 () (or @t79 @t77 @t75 @t74)) % 15.96/16.18 (define @t81 () (@list true)) % 15.96/16.18 (define @t82 () (@list @t80)) % 15.96/16.18 (define @t83 () (not @t9)) % 15.96/16.18 (define @t84 () (not @t4)) % 15.96/16.18 (define @t85 () (@var "BOUND_VARIABLE_7655" $$unsorted)) % 15.96/16.18 (define @t86 () (@var "BOUND_VARIABLE_7657" $$unsorted)) % 15.96/16.18 (define @t87 () (tptp.plus @t86 @t85)) % 15.96/16.18 (define @t88 () (or (not (tptp.int_leq tptp.int_zero @t85)) (not (= @t1 (tptp.plus @t2 @t85))) (not (tptp.int_leq tptp.int_one @t86)) (not (tptp.int_leq @t86 @t2)) (= (tptp.a @t86 @t87) (tptp.lu @t86 @t87)))) % 15.96/16.18 (define @t89 () (@var "BOUND_VARIABLE_7640" $$unsorted)) % 15.96/16.18 (define @t90 () (@var "BOUND_VARIABLE_7638" $$unsorted)) % 15.96/16.18 (define @t91 () (or (not (tptp.int_less tptp.int_zero @t90)) (not (= @t2 (tptp.plus @t1 @t90))) (not (tptp.int_leq tptp.int_one @t89)) (not (tptp.int_leq @t89 @t1)) (= tptp.real_zero (tptp.a (tptp.plus @t89 @t90) @t89)))) % 15.96/16.18 (define @t92 () (and @t91 @t88)) % 15.96/16.18 (define @t93 () (not @t52)) % 15.96/16.18 (define @t94 () (not @t26)) % 15.96/16.18 (define @t95 () (or @t94 @t65 @t67 @t93 @t92)) % 15.96/16.18 (define @t96 () (@list @t90 @t89 @t85 @t86)) % 15.96/16.18 (define @t97 () (forall @t96 @t95)) % 15.96/16.18 (define @t98 () (forall (@list @t85 @t86) @t88)) % 15.96/16.18 (define @t99 () (@var "BOUND_VARIABLE_7611" $$unsorted)) % 15.96/16.18 (define @t100 () (forall @t96 @t88)) % 15.96/16.18 (define @t101 () (forall (@list @t90 @t89) @t91)) % 15.96/16.18 (define @t102 () (@var "BOUND_VARIABLE_7583" $$unsorted)) % 15.96/16.18 (define @t103 () (forall @t96 @t91)) % 15.96/16.18 (define @t104 () (and @t103 @t100)) % 15.96/16.18 (define @t105 () (forall @t96 @t92)) % 15.96/16.18 (define @t106 () (or @t94 @t65 @t67 @t93 @t105)) % 15.96/16.18 (define @t107 () (tptp.plus @t99 @t28)) % 15.96/16.18 (define @t108 () (= (tptp.a @t99 @t107) (tptp.lu @t99 @t107))) % 15.96/16.18 (define @t109 () (not (tptp.int_leq @t99 @t2))) % 15.96/16.18 (define @t110 () (not (tptp.int_leq tptp.int_one @t99))) % 15.96/16.18 (define @t111 () (not @t35)) % 15.96/16.18 (define @t112 () (not @t36)) % 15.96/16.18 (define @t113 () (or @t112 @t111 @t110 @t109 @t108)) % 15.96/16.18 (define @t114 () (@list @t28 @t99)) % 15.96/16.18 (define @t115 () (= tptp.real_zero (tptp.a (tptp.plus @t102 @t28) @t102))) % 15.96/16.18 (define @t116 () (not (tptp.int_leq @t102 @t1))) % 15.96/16.18 (define @t117 () (not (tptp.int_leq tptp.int_one @t102))) % 15.96/16.18 (define @t118 () (not @t46)) % 15.96/16.18 (define @t119 () (not @t47)) % 15.96/16.18 (define @t120 () (or @t119 @t118 @t117 @t116 @t115)) % 15.96/16.18 (define @t121 () (@list @t28 @t102)) % 15.96/16.18 (define @t122 () (and (forall @t121 @t120) (forall @t114 @t113))) % 15.96/16.18 (define @t123 () (or @t94 @t65 @t67 @t93 @t122)) % 15.96/16.18 (define @t124 () (or @t94 @t65 @t67 @t93)) % 15.96/16.18 (define @t125 () (or @t110 @t109 @t108)) % 15.96/16.18 (define @t126 () (or @t112 @t111 @t125)) % 15.96/16.18 (define @t127 () (forall @t114 @t126)) % 15.96/16.18 (define @t128 () (@list @t99)) % 15.96/16.18 (define @t129 () (forall @t128 @t126)) % 15.96/16.18 (define @t130 () (forall @t128 @t125)) % 15.96/16.18 (define @t131 () (@list @t7)) % 15.96/16.18 (define @t132 () (or @t112 @t111 @t130)) % 15.96/16.18 (define @t133 () (not @t31)) % 15.96/16.18 (define @t134 () (not @t32)) % 15.96/16.18 (define @t135 () (or @t134 @t133 @t30)) % 15.96/16.18 (define @t136 () (forall @t22 @t135)) % 15.96/16.18 (define @t137 () (or @t112 @t111 @t136)) % 15.96/16.18 (define @t138 () (or @t117 @t116 @t115)) % 15.96/16.18 (define @t139 () (or @t119 @t118 @t138)) % 15.96/16.18 (define @t140 () (forall @t121 @t139)) % 15.96/16.18 (define @t141 () (@list @t102)) % 15.96/16.18 (define @t142 () (forall @t141 @t139)) % 15.96/16.18 (define @t143 () (forall @t141 @t138)) % 15.96/16.18 (define @t144 () (or @t119 @t118 @t143)) % 15.96/16.18 (define @t145 () (= tptp.real_zero @t41)) % 15.96/16.18 (define @t146 () (not @t42)) % 15.96/16.18 (define @t147 () (or @t134 @t146 @t145)) % 15.96/16.18 (define @t148 () (forall @t22 @t147)) % 15.96/16.18 (define @t149 () (or @t119 @t118 @t148)) % 15.96/16.18 (define @t150 () (forall @t22 (or (not (= @t71 (tptp.plus @t73 @t7))) (not @t19)))) % 15.96/16.18 (define @t151 () (@quantifiers_skolemize @t150 0)) % 15.96/16.18 (define @t152 () (= @t1 @t20)) % 15.96/16.18 (define @t153 () (and @t152 @t19)) % 15.96/16.18 (define @t154 () (forall @t22 (not @t153))) % 15.96/16.18 (define @t155 () (not @t154)) % 15.96/16.18 (define @t156 () (not @t150)) % 15.96/16.18 (define @t157 () (= @t76 @t156)) % 15.96/16.18 (define @t158 () (@list false false)) % 15.96/16.18 (define @t159 () (tptp.plus @t73 @t151)) % 15.96/16.18 (define @t160 () (= @t71 @t159)) % 15.96/16.18 (define @t161 () (tptp.int_less tptp.int_zero @t151)) % 15.96/16.18 (define @t162 () (not @t161)) % 15.96/16.18 (define @t163 () (not @t160)) % 15.96/16.18 (define @t164 () (or @t163 @t162)) % 15.96/16.18 (define @t165 () (@list @t164)) % 15.96/16.18 (define @t166 () (tptp.a @t159 @t73)) % 15.96/16.18 (define @t167 () (= tptp.real_zero @t166)) % 15.96/16.18 (define @t168 () (not (tptp.int_less @t1 @t1))) % 15.96/16.18 (define @t169 () (not (= @t1 @t1))) % 15.96/16.18 (define @t170 () (or @t168 @t169)) % 15.96/16.18 (define @t171 () (@list @t1)) % 15.96/16.18 (define @t172 () (or @t12 @t84 @t12)) % 15.96/16.18 (define @t173 () (or @t84 @t12)) % 15.96/16.18 (define @t174 () (forall @t14 @t173)) % 15.96/16.18 (define @t175 () (forall @t171 @t174)) % 15.96/16.18 (define @t176 () (forall (@list @t1 @t2) @t173)) % 15.96/16.18 (define @t177 () (@list @t73)) % 15.96/16.18 (define @t178 () (tptp.int_leq @t73 @t73)) % 15.96/16.18 (define @t179 () (tptp.int_less @t73 @t73)) % 15.96/16.18 (define @t180 () (or @t179 @t178)) % 15.96/16.18 (define @t181 () (@list true false)) % 15.96/16.18 (define @t182 () (not @t178)) % 15.96/16.18 (define @t183 () (or @t162 @t163 @t79 @t182 @t167)) % 15.96/16.18 (define @t184 () (not @t183)) % 15.96/16.18 (define @t185 () (tptp.plus tptp.int_zero tptp.int_zero)) % 15.96/16.18 (define @t186 () (and @t183 (or (not (tptp.int_leq tptp.int_zero tptp.int_zero)) (not (= @t73 (tptp.plus @t71 tptp.int_zero))) (not (tptp.int_leq tptp.int_one tptp.int_zero)) (not (tptp.int_leq tptp.int_zero @t71)) (= (tptp.a tptp.int_zero @t185) (tptp.lu tptp.int_zero @t185))))) % 15.96/16.18 (define @t187 () (not @t186)) % 15.96/16.18 (define @t188 () (tptp.int_less tptp.int_zero @t73)) % 15.96/16.18 (define @t189 () (= @t188 @t78)) % 15.96/16.18 (define @t190 () (= @t78 @t188)) % 15.96/16.18 (define @t191 () (@list false)) % 15.96/16.18 (define @t192 () (tptp.int_less tptp.int_zero @t71)) % 15.96/16.18 (define @t193 () (not @t188)) % 15.96/16.18 (define @t194 () (or @t193 @t77 @t192)) % 15.96/16.18 (define @t195 () (@list false false false)) % 15.96/16.18 (define @t196 () (tptp.int_leq tptp.int_one @t71)) % 15.96/16.18 (define @t197 () (= @t192 @t196)) % 15.96/16.18 (define @t198 () (tptp.int_leq @t73 tptp.n)) % 15.96/16.18 (define @t199 () (not @t198)) % 15.96/16.18 (define @t200 () (not @t196)) % 15.96/16.18 (define @t201 () (or @t200 @t75 @t79 @t199 @t186)) % 15.96/16.18 (define @t202 () (tptp.int_less tptp.n @t73)) % 15.96/16.18 (define @t203 () (or @t202 @t198)) % 15.96/16.18 (define @t204 () (tptp.int_less tptp.n @t71)) % 15.96/16.18 (define @t205 () (not @t202)) % 15.96/16.18 (define @t206 () (or @t205 @t77 @t204)) % 15.96/16.18 (define @t207 () (tptp.int_less tptp.n tptp.n)) % 15.96/16.18 (define @t208 () (tptp.int_less @t71 tptp.n)) % 15.96/16.18 (define @t209 () (not @t208)) % 15.96/16.18 (define @t210 () (not @t204)) % 15.96/16.18 (define @t211 () (or @t210 @t209 @t207)) % 15.96/16.18 (define @t212 () (@list true false false)) % 15.96/16.18 (define @t213 () (tptp.int_less @t73 tptp.n)) % 15.96/16.18 (define @t214 () (not @t213)) % 15.96/16.18 (define @t215 () (or @t205 @t214 @t207)) % 15.96/16.18 (define @t216 () (= tptp.n @t71)) % 15.96/16.18 (define @t217 () (and @t76 @t216)) % 15.96/16.18 (define @t218 () (or @t208 @t216)) % 15.96/16.18 (define @t219 () (not @t218)) % 15.96/16.18 (define @t220 () (or @t208 (= @t71 tptp.n))) % 15.96/16.18 (define @t221 () (= @t72 @t220)) % 15.96/16.18 (define @t222 () (= @t72 @t218)) % 15.96/16.18 (assume @p1 @t6) % 15.96/16.18 (assume @p2 @t11) % 15.96/16.18 (assume @p3 @t13) % 15.96/16.18 (assume @p4 (forall @t5 (or @t4 (tptp.int_leq @t1 @t2)))) % 15.96/16.18 (assume @p5 (tptp.int_less tptp.int_zero tptp.int_one)) % 15.96/16.18 (assume @p6 (forall @t5 (= (tptp.plus @t2 @t1) (tptp.plus @t1 @t2)))) % 15.96/16.18 (assume @p7 (forall @t14 (= (tptp.plus @t2 tptp.int_zero) @t2))) % 15.96/16.18 (assume @p8 (forall (@list @t18 @t16 @t17 @t15) (=> (and (tptp.int_less @t18 @t16) (tptp.int_leq @t17 @t15)) (tptp.int_leq (tptp.plus @t18 @t17) (tptp.plus @t16 @t15))))) % 15.96/16.18 (assume @p9 @t25) % 15.96/16.18 (assume @p10 @t27) % 15.96/16.18 (assume @p11 (not (= tptp.real_zero tptp.real_one))) % 15.96/16.18 (assume @p12 @t57) % 15.96/16.18 (assume @p13 @t63) % 15.96/16.18 (assume @p14 true) % 15.96/16.18 (step @p15 :rule aci_norm :args ((= (or @t69 @t64) @t68))) % 15.96/16.18 (step @p16 :rule refl :args (@t64)) % 15.96/16.18 (step @p17 :rule aci_norm :args ((= (or @t67 (or @t66 @t65)) @t69))) % 15.96/16.18 (step @p18 :rule bool-and-de-morgan :args (@t59 @t54 true)) % 15.96/16.18 (step @p19 :rule refl :args (@t67)) % 15.96/16.18 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t67 (not (and @t59 @t54))))) % 15.96/16.18 (step @p21 :rule bool-and-de-morgan :args (@t53 @t59 (and @t54))) % 15.96/16.18 (step @p22 :rule trans :premises (@p21 @p20)) % 15.96/16.18 (step @p23 :rule trans :premises (@p22 @p17)) % 15.96/16.18 (step @p24 :rule nary_cong :premises (@p23 @p16) :args ((or (not @t60) @t64))) % 15.96/16.18 (step @p25 :rule trans :premises (@p24 @p15)) % 15.96/16.18 (step @p26 :rule bool-impl-elim :args (@t60 @t64)) % 15.96/16.18 (step @p27 :rule trans :premises (@p26 @p25)) % 15.96/16.18 (step @p28 :rule cong :premises (@p27) :args ((forall @t5 (=> @t60 @t64)))) % 15.96/16.18 (step @p29 :rule eq-symm :args (@t58 tptp.real_zero)) % 15.96/16.18 (step @p30 :rule refl :args (@t60)) % 15.96/16.18 (step @p31 :rule cong :premises (@p30 @p29) :args (@t61)) % 15.96/16.18 (step @p32 :rule cong :premises (@p31) :args (@t62)) % 15.96/16.18 (step @p33 :rule trans :premises (@p32 @p28)) % 15.96/16.18 (step @p34 :rule cong :premises (@p33) :args (@t63)) % 15.96/16.18 (step @p35 :rule eq_resolve :premises (@p13 @p34)) % 15.96/16.18 (step @p36 :rule skolemize :premises (@p35)) % 15.96/16.18 (step @p37 :rule bool-double-not-elim :args (@t72)) % 15.96/16.18 (step @p38 :rule refl :args (@t80)) % 15.96/16.18 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t80 (not @t75)))) % 15.96/16.18 (step @p40 :rule cnf_or_neg :args (@t80 2)) % 15.96/16.18 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 15.96/16.18 (step @p42 :rule reordering :premises (@p41) :args ((or @t72 @t80))) % 15.96/16.18 (step @p43 :rule chain_m_resolution :premises (@p42 @p36) :args (@t72 @t81 @t82)) % 15.96/16.18 (step @p44 :rule aci_norm :args ((= (or (or @t84 @t83) @t8) (or @t84 @t83 @t8)))) % 15.96/16.18 (step @p45 :rule refl :args (@t8)) % 15.96/16.18 (step @p46 :rule bool-and-de-morgan :args (@t4 @t9 true)) % 15.96/16.18 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or (not @t10) @t8))) % 15.96/16.18 (step @p48 :rule trans :premises (@p47 @p44)) % 15.96/16.18 (step @p49 :rule bool-impl-elim :args (@t10 @t8)) % 15.96/16.18 (step @p50 :rule trans :premises (@p49 @p48)) % 15.96/16.18 (step @p51 :rule cong :premises (@p50) :args (@t11)) % 15.96/16.18 (step @p52 :rule eq_resolve :premises (@p2 @p51)) % 15.96/16.18 (step @p53 :rule instantiate :premises (@p52) :args ((@list tptp.n @t71 tptp.n))) % 15.96/16.18 (step @p54 :rule instantiate :premises (@p52) :args ((@list tptp.n @t73 @t71))) % 15.96/16.18 (step @p55 :rule instantiate :premises (@p4) :args ((@list tptp.n @t73))) % 15.96/16.18 (step @p56 :rule quant-merge-prenex :args ((= (forall @t5 @t97) (forall (@list @t2 @t1 @t90 @t89 @t85 @t86) @t95)))) % 15.96/16.18 (step @p57 :rule alpha_equiv :args (@t98 (@list @t85 @t86) (@list @t28 @t99))) % 15.96/16.18 (step @p58 :rule quant-unused-vars :args ((= @t100 @t98))) % 15.96/16.18 (step @p59 :rule trans :premises (@p58 @p57)) % 15.96/16.18 (step @p60 :rule alpha_equiv :args (@t101 (@list @t90 @t89) (@list @t28 @t102))) % 15.96/16.18 (step @p61 :rule quant-unused-vars :args ((= @t103 @t101))) % 15.96/16.18 (step @p62 :rule trans :premises (@p61 @p60)) % 15.96/16.18 (step @p63 :rule nary_cong :premises (@p62 @p59) :args (@t104)) % 15.96/16.18 (step @p64 :rule quant-miniscope-and :args ((= @t105 @t104))) % 15.96/16.18 (step @p65 :rule trans :premises (@p64 @p63)) % 15.96/16.18 (step @p66 :rule refl :args (@t93)) % 15.96/16.18 (step @p67 :rule refl :args (@t65)) % 15.96/16.18 (step @p68 :rule refl :args (@t94)) % 15.96/16.18 (step @p69 :rule nary_cong :premises (@p68 @p67 @p19 @p66 @p65) :args (@t106)) % 15.96/16.18 (step @p70 :rule quant-miniscope-or :args ((= @t97 @t106))) % 15.96/16.18 (step @p71 :rule trans :premises (@p70 @p69)) % 15.96/16.18 (step @p72 :rule symm :premises (@p71)) % 15.96/16.18 (step @p73 :rule cong :premises (@p72) :args ((forall @t5 @t123))) % 15.96/16.18 (step @p74 :rule trans :premises (@p73 @p56)) % 15.96/16.18 (step @p75 :rule aci_norm :args ((= (or @t124 @t122) @t123))) % 15.96/16.18 (step @p76 :rule refl :args (@t122)) % 15.96/16.18 (step @p77 :rule aci_norm :args ((= (or @t94 (or @t65 (or @t67 @t93))) @t124))) % 15.96/16.18 (step @p78 :rule bool-and-de-morgan :args (@t53 @t52 true)) % 15.96/16.18 (step @p79 :rule nary_cong :premises (@p67 @p78) :args ((or @t65 (not (and @t53 @t52))))) % 15.96/16.18 (step @p80 :rule bool-and-de-morgan :args (@t54 @t53 (and @t52))) % 15.96/16.18 (step @p81 :rule trans :premises (@p80 @p79)) % 15.96/16.18 (step @p82 :rule nary_cong :premises (@p68 @p81) :args ((or @t94 (not (and @t54 @t53 @t52))))) % 15.96/16.18 (step @p83 :rule bool-and-de-morgan :args (@t26 @t54 (and @t53 @t52))) % 15.96/16.18 (step @p84 :rule trans :premises (@p83 @p82)) % 15.96/16.18 (step @p85 :rule trans :premises (@p84 @p77)) % 15.96/16.18 (step @p86 :rule nary_cong :premises (@p85 @p76) :args ((or (not @t55) @t122))) % 15.96/16.18 (step @p87 :rule trans :premises (@p86 @p75)) % 15.96/16.18 (step @p88 :rule bool-impl-elim :args (@t55 @t122)) % 15.96/16.18 (step @p89 :rule trans :premises (@p88 @p87)) % 15.96/16.18 (step @p90 :rule cong :premises (@p89) :args ((forall @t5 (=> @t55 @t122)))) % 15.96/16.18 (step @p91 :rule trans :premises (@p90 @p74)) % 15.96/16.18 (step @p92 :rule aci_norm :args ((= @t126 @t113))) % 15.96/16.18 (step @p93 :rule cong :premises (@p92) :args (@t127)) % 15.96/16.18 (step @p94 :rule quant-merge-prenex :args ((= (forall @t39 @t129) @t127))) % 15.96/16.18 (step @p95 :rule alpha_equiv :args (@t130 (@list @t99) @t131)) % 15.96/16.18 (step @p96 :rule refl :args (@t111)) % 15.96/16.18 (step @p97 :rule refl :args (@t112)) % 15.96/16.18 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95) :args (@t132)) % 15.96/16.18 (step @p99 :rule quant-miniscope-or :args ((= @t129 @t132))) % 15.96/16.18 (step @p100 :rule trans :premises (@p99 @p98)) % 15.96/16.18 (step @p101 :rule symm :premises (@p100)) % 15.96/16.18 (step @p102 :rule cong :premises (@p101) :args ((forall @t39 @t137))) % 15.96/16.18 (step @p103 :rule trans :premises (@p102 @p94)) % 15.96/16.18 (step @p104 :rule trans :premises (@p103 @p93)) % 15.96/16.18 (step @p105 :rule aci_norm :args ((= (or (or @t112 @t111) @t136) @t137))) % 15.96/16.18 (step @p106 :rule refl :args (@t136)) % 15.96/16.18 (step @p107 :rule bool-and-de-morgan :args (@t36 @t35 true)) % 15.96/16.18 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or (not @t37) @t136))) % 15.96/16.18 (step @p109 :rule trans :premises (@p108 @p105)) % 15.96/16.18 (step @p110 :rule bool-impl-elim :args (@t37 @t136)) % 15.96/16.18 (step @p111 :rule trans :premises (@p110 @p109)) % 15.96/16.18 (step @p112 :rule cong :premises (@p111) :args ((forall @t39 (=> @t37 @t136)))) % 15.96/16.18 (step @p113 :rule trans :premises (@p112 @p104)) % 15.96/16.18 (step @p114 :rule aci_norm :args ((= (or (or @t134 @t133) @t30) @t135))) % 15.96/16.18 (step @p115 :rule refl :args (@t30)) % 15.96/16.18 (step @p116 :rule bool-and-de-morgan :args (@t32 @t31 true)) % 15.96/16.18 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or (not @t33) @t30))) % 15.96/16.18 (step @p118 :rule trans :premises (@p117 @p114)) % 15.96/16.18 (step @p119 :rule bool-impl-elim :args (@t33 @t30)) % 15.96/16.18 (step @p120 :rule trans :premises (@p119 @p118)) % 15.96/16.18 (step @p121 :rule cong :premises (@p120) :args (@t34)) % 15.96/16.18 (step @p122 :rule refl :args (@t37)) % 15.96/16.18 (step @p123 :rule cong :premises (@p122 @p121) :args (@t38)) % 15.96/16.18 (step @p124 :rule cong :premises (@p123) :args (@t40)) % 15.96/16.18 (step @p125 :rule trans :premises (@p124 @p113)) % 15.96/16.18 (step @p126 :rule aci_norm :args ((= @t139 @t120))) % 15.96/16.18 (step @p127 :rule cong :premises (@p126) :args (@t140)) % 15.96/16.18 (step @p128 :rule quant-merge-prenex :args ((= (forall @t39 @t142) @t140))) % 15.96/16.18 (step @p129 :rule alpha_equiv :args (@t143 (@list @t102) @t131)) % 15.96/16.18 (step @p130 :rule refl :args (@t118)) % 15.96/16.18 (step @p131 :rule refl :args (@t119)) % 15.96/16.18 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129) :args (@t144)) % 15.96/16.18 (step @p133 :rule quant-miniscope-or :args ((= @t142 @t144))) % 15.96/16.18 (step @p134 :rule trans :premises (@p133 @p132)) % 15.96/16.18 (step @p135 :rule symm :premises (@p134)) % 15.96/16.18 (step @p136 :rule cong :premises (@p135) :args ((forall @t39 @t149))) % 15.96/16.18 (step @p137 :rule trans :premises (@p136 @p128)) % 15.96/16.18 (step @p138 :rule trans :premises (@p137 @p127)) % 15.96/16.18 (step @p139 :rule aci_norm :args ((= (or (or @t119 @t118) @t148) @t149))) % 15.96/16.18 (step @p140 :rule refl :args (@t148)) % 15.96/16.18 (step @p141 :rule bool-and-de-morgan :args (@t47 @t46 true)) % 15.96/16.18 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or (not @t48) @t148))) % 15.96/16.18 (step @p143 :rule trans :premises (@p142 @p139)) % 15.96/16.18 (step @p144 :rule bool-impl-elim :args (@t48 @t148)) % 15.96/16.18 (step @p145 :rule trans :premises (@p144 @p143)) % 15.96/16.18 (step @p146 :rule cong :premises (@p145) :args ((forall @t39 (=> @t48 @t148)))) % 15.96/16.18 (step @p147 :rule trans :premises (@p146 @p138)) % 15.96/16.18 (step @p148 :rule aci_norm :args ((= (or (or @t134 @t146) @t145) @t147))) % 15.96/16.18 (step @p149 :rule refl :args (@t145)) % 15.96/16.18 (step @p150 :rule bool-and-de-morgan :args (@t32 @t42 true)) % 15.96/16.18 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or (not @t43) @t145))) % 15.96/16.18 (step @p152 :rule trans :premises (@p151 @p148)) % 15.96/16.18 (step @p153 :rule bool-impl-elim :args (@t43 @t145)) % 15.96/16.18 (step @p154 :rule trans :premises (@p153 @p152)) % 15.96/16.18 (step @p155 :rule cong :premises (@p154) :args ((forall @t22 (=> @t43 @t145)))) % 15.96/16.18 (step @p156 :rule eq-symm :args (@t41 tptp.real_zero)) % 15.96/16.18 (step @p157 :rule refl :args (@t43)) % 15.96/16.18 (step @p158 :rule cong :premises (@p157 @p156) :args (@t44)) % 15.96/16.18 (step @p159 :rule cong :premises (@p158) :args (@t45)) % 15.96/16.18 (step @p160 :rule trans :premises (@p159 @p155)) % 15.96/16.18 (step @p161 :rule refl :args (@t48)) % 15.96/16.18 (step @p162 :rule cong :premises (@p161 @p160) :args (@t49)) % 15.96/16.18 (step @p163 :rule cong :premises (@p162) :args (@t50)) % 15.96/16.18 (step @p164 :rule trans :premises (@p163 @p147)) % 15.96/16.18 (step @p165 :rule nary_cong :premises (@p164 @p125) :args (@t51)) % 15.96/16.18 (step @p166 :rule refl :args (@t55)) % 15.96/16.18 (step @p167 :rule cong :premises (@p166 @p165) :args (@t56)) % 15.96/16.18 (step @p168 :rule cong :premises (@p167) :args (@t57)) % 15.96/16.18 (step @p169 :rule trans :premises (@p168 @p91)) % 15.96/16.18 (step @p170 :rule eq_resolve :premises (@p12 @p169)) % 15.96/16.18 (step @p171 :rule instantiate :premises (@p170) :args ((@list @t71 @t73 @t151 @t73 tptp.int_zero tptp.int_zero))) % 15.96/16.18 (step @p172 :rule cnf_or_neg :args (@t80 3)) % 15.96/16.18 (step @p173 :rule chain_m_resolution :premises (@p172 @p36) :args ((not @t74) @t81 @t82)) % 15.96/16.18 (step @p174 :rule false_intro :premises (@p173)) % 15.96/16.18 (step @p175 :rule refl :args (@t73)) % 15.96/16.18 (step @p176 :rule bool-and-de-morgan :args (@t152 @t19 true)) % 15.96/16.18 (step @p177 :rule cong :premises (@p176) :args (@t154)) % 15.96/16.18 (step @p178 :rule cong :premises (@p177) :args (@t155)) % 15.96/16.18 (step @p179 :rule exists-elim :args ((= (exists @t22 @t153) @t155))) % 15.96/16.18 (step @p180 :rule trans :premises (@p179 @p178)) % 15.96/16.18 (step @p181 :rule refl :args (@t19)) % 15.96/16.18 (step @p182 :rule eq-symm :args (@t20 @t1)) % 15.96/16.18 (step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t21)) % 15.96/16.18 (step @p184 :rule cong :premises (@p183) :args (@t23)) % 15.96/16.18 (step @p185 :rule trans :premises (@p184 @p180)) % 15.96/16.18 (step @p186 :rule refl :args (@t4)) % 15.96/16.18 (step @p187 :rule cong :premises (@p186 @p185) :args (@t24)) % 15.96/16.18 (step @p188 :rule cong :premises (@p187) :args (@t25)) % 15.96/16.18 (step @p189 :rule eq_resolve :premises (@p9 @p188)) % 15.96/16.18 (step @p190 :rule instantiate :premises (@p189) :args ((@list @t73 @t71))) % 15.96/16.18 (step @p191 :rule bool-double-not-elim :args (@t76)) % 15.96/16.18 (step @p192 :rule nary_cong :premises (@p38 @p191) :args ((or @t80 (not @t77)))) % 15.96/16.18 (step @p193 :rule cnf_or_neg :args (@t80 1)) % 15.96/16.18 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 15.96/16.18 (step @p195 :rule reordering :premises (@p194) :args ((or @t76 @t80))) % 15.96/16.18 (step @p196 :rule chain_m_resolution :premises (@p195 @p36) :args (@t76 @t81 @t82)) % 15.96/16.18 (step @p197 :rule cnf_equiv_pos1 :args (@t157)) % 15.96/16.18 (step @p198 :rule reordering :premises (@p197) :args ((or @t77 @t156 (not @t157)))) % 15.96/16.18 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p190) :args (@t156 @t158 (@list @t76 @t157))) % 15.96/16.18 (step @p200 :rule skolemize :premises (@p199)) % 15.96/16.18 (step @p201 :rule bool-double-not-elim :args (@t160)) % 15.96/16.18 (step @p202 :rule refl :args (@t164)) % 15.96/16.18 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or @t164 (not @t163)))) % 15.96/16.18 (step @p204 :rule cnf_or_neg :args (@t164 0)) % 15.96/16.18 (step @p205 :rule eq_resolve :premises (@p204 @p203)) % 15.96/16.18 (step @p206 :rule reordering :premises (@p205) :args ((or @t160 @t164))) % 15.96/16.18 (step @p207 :rule chain_m_resolution :premises (@p206 @p200) :args (@t160 @t81 @t165)) % 15.96/16.18 (step @p208 :rule symm :premises (@p207)) % 15.96/16.18 (step @p209 :rule cong :premises (@p208 @p175) :args (@t166)) % 15.96/16.18 (step @p210 :rule refl :args (tptp.real_zero)) % 15.96/16.18 (step @p211 :rule cong :premises (@p210 @p209) :args (@t167)) % 15.96/16.18 (step @p212 :rule trans :premises (@p211 @p174)) % 15.96/16.18 (step @p213 :rule false_elim :premises (@p212)) % 15.96/16.18 (step @p214 :rule bool-double-not-elim :args (@t161)) % 15.96/16.18 (step @p215 :rule nary_cong :premises (@p202 @p214) :args ((or @t164 (not @t162)))) % 15.96/16.18 (step @p216 :rule cnf_or_neg :args (@t164 1)) % 15.96/16.18 (step @p217 :rule eq_resolve :premises (@p216 @p215)) % 15.96/16.18 (step @p218 :rule reordering :premises (@p217) :args ((or @t161 @t164))) % 15.96/16.18 (step @p219 :rule chain_m_resolution :premises (@p218 @p200) :args (@t161 @t81 @t165)) % 15.96/16.18 (step @p220 :rule instantiate :premises (@p4) :args ((@list @t73 @t73))) % 15.96/16.18 (step @p221 :rule aci_norm :args ((= (or @t168 false) @t168))) % 15.96/16.18 (step @p222 :rule evaluate :args ((not true))) % 15.96/16.18 (step @p223 :rule eq-refl :args (@t1)) % 15.96/16.18 (step @p224 :rule cong :premises (@p223) :args (@t169)) % 15.96/16.18 (step @p225 :rule trans :premises (@p224 @p222)) % 15.96/16.18 (step @p226 :rule refl :args (@t168)) % 15.96/16.18 (step @p227 :rule nary_cong :premises (@p226 @p225) :args (@t170)) % 15.96/16.18 (step @p228 :rule trans :premises (@p227 @p221)) % 15.96/16.18 (step @p229 :rule cong :premises (@p228) :args ((forall @t171 @t170))) % 15.96/16.18 (step @p230 :rule quant-var-elim-eq :args ((= (forall @t14 @t172) @t170))) % 15.96/16.18 (step @p231 :rule aci_norm :args ((= @t173 @t172))) % 15.96/16.18 (step @p232 :rule cong :premises (@p231) :args (@t174)) % 15.96/16.18 (step @p233 :rule trans :premises (@p232 @p230)) % 15.96/16.18 (step @p234 :rule cong :premises (@p233) :args (@t175)) % 15.96/16.18 (step @p235 :rule quant-merge-prenex :args ((= @t175 @t176))) % 15.96/16.18 (step @p236 :rule symm :premises (@p235)) % 15.96/16.18 (step @p237 :rule quant_var_reordering :args ((= (forall @t5 @t173) @t176))) % 15.96/16.18 (step @p238 :rule trans :premises (@p237 @p236 @p234)) % 15.96/16.18 (step @p239 :rule trans :premises (@p238 @p229)) % 15.96/16.18 (step @p240 :rule bool-impl-elim :args (@t4 @t12)) % 15.96/16.18 (step @p241 :rule cong :premises (@p240) :args (@t13)) % 15.96/16.18 (step @p242 :rule trans :premises (@p241 @p239)) % 15.96/16.18 (step @p243 :rule eq_resolve :premises (@p3 @p242)) % 15.96/16.18 (step @p244 :rule instantiate :premises (@p243) :args (@t177)) % 15.96/16.18 (step @p245 :rule cnf_or_pos :args (@t180)) % 15.96/16.18 (step @p246 :rule reordering :premises (@p245) :args ((or @t179 @t178 (not @t180)))) % 15.96/16.18 (step @p247 :rule chain_m_resolution :premises (@p246 @p244 @p220) :args (@t178 @t181 (@list @t179 @t180))) % 15.96/16.18 (step @p248 :rule bool-double-not-elim :args (@t78)) % 15.96/16.18 (step @p249 :rule nary_cong :premises (@p38 @p248) :args ((or @t80 (not @t79)))) % 15.96/16.18 (step @p250 :rule cnf_or_neg :args (@t80 0)) % 15.96/16.18 (step @p251 :rule eq_resolve :premises (@p250 @p249)) % 15.96/16.18 (step @p252 :rule reordering :premises (@p251) :args ((or @t78 @t80))) % 15.96/16.18 (step @p253 :rule chain_m_resolution :premises (@p252 @p36) :args (@t78 @t81 @t82)) % 15.96/16.18 (step @p254 :rule cnf_or_pos :args (@t183)) % 15.96/16.18 (step @p255 :rule reordering :premises (@p254) :args ((or @t79 @t182 @t163 @t162 @t167 @t184))) % 15.96/16.18 (step @p256 :rule chain_m_resolution :premises (@p255 @p253 @p247 @p207 @p219 @p213) :args (@t184 (@list false false false false true) (@list @t78 @t178 @t160 @t161 @t167))) % 15.96/16.18 (step @p257 :rule cnf_and_pos :args (@t186 0)) % 15.96/16.18 (step @p258 :rule reordering :premises (@p257) :args ((or @t183 @t187))) % 15.96/16.18 (step @p259 :rule chain_m_resolution :premises (@p258 @p256) :args (@t187 @t81 (@list @t183))) % 15.96/16.18 (step @p260 :rule instantiate :premises (@p10) :args ((@list @t71))) % 15.96/16.18 (step @p261 :rule instantiate :premises (@p52) :args ((@list tptp.int_zero @t73 @t71))) % 15.96/16.18 (step @p262 :rule eq-symm :args (@t188 @t78)) % 15.96/16.18 (step @p263 :rule refl :args (@t27)) % 15.96/16.18 (step @p264 :rule cong :premises (@p263 @p262) :args ((=> @t27 @t189))) % 15.96/16.18 (assume-push @p338 @t27) % 15.96/16.18 (step @p266 :rule instantiate :premises (@p10) :args (@t177)) % 15.96/16.18 (step-pop @p339 :rule scope :premises (@p266)) % 15.96/16.18 (step @p267 :rule process_scope :premises (@p339) :args (@t189)) % 15.96/16.18 (step @p269 :rule eq_resolve :premises (@p267 @p264)) % 15.96/16.18 (step @p270 :rule implies_elim :premises (@p269)) % 15.96/16.18 (step @p271 :rule chain_m_resolution :premises (@p270 @p10) :args (@t190 @t191 (@list @t27))) % 15.96/16.18 (step @p272 :rule cnf_equiv_pos1 :args (@t190)) % 15.96/16.18 (step @p273 :rule reordering :premises (@p272) :args ((or @t79 @t188 (not @t190)))) % 15.96/16.18 (step @p274 :rule chain_m_resolution :premises (@p273 @p253 @p271) :args (@t188 @t158 (@list @t78 @t190))) % 15.96/16.18 (step @p275 :rule cnf_or_pos :args (@t194)) % 15.96/16.18 (step @p276 :rule reordering :premises (@p275) :args ((or @t77 @t192 @t193 (not @t194)))) % 15.96/16.18 (step @p277 :rule chain_m_resolution :premises (@p276 @p196 @p274 @p261) :args (@t192 @t195 (@list @t76 @t188 @t194))) % 15.96/16.18 (step @p278 :rule cnf_equiv_pos1 :args (@t197)) % 15.96/16.18 (step @p279 :rule reordering :premises (@p278) :args ((or @t196 (not @t192) (not @t197)))) % 15.96/16.18 (step @p280 :rule chain_m_resolution :premises (@p279 @p277 @p260) :args (@t196 @t158 (@list @t192 @t197))) % 15.96/16.18 (step @p281 :rule cnf_or_pos :args (@t201)) % 15.96/16.18 (step @p282 :rule reordering :premises (@p281) :args ((or @t79 @t75 @t200 @t199 @t186 (not @t201)))) % 15.96/16.18 (step @p283 :rule chain_m_resolution :premises (@p282 @p253 @p43 @p280 @p259 @p171) :args (@t199 (@list false false false true false) (@list @t78 @t72 @t196 @t186 @t201))) % 15.96/16.18 (step @p284 :rule cnf_or_pos :args (@t203)) % 15.96/16.18 (step @p285 :rule reordering :premises (@p284) :args ((or @t202 @t198 (not @t203)))) % 15.96/16.18 (step @p286 :rule chain_m_resolution :premises (@p285 @p283 @p55) :args (@t202 @t181 (@list @t198 @t203))) % 15.96/16.18 (step @p287 :rule cnf_or_pos :args (@t206)) % 15.96/16.18 (step @p288 :rule reordering :premises (@p287) :args ((or @t77 @t204 @t205 (not @t206)))) % 15.96/16.18 (step @p289 :rule chain_m_resolution :premises (@p288 @p196 @p286 @p54) :args (@t204 @t195 (@list @t76 @t202 @t206))) % 15.96/16.18 (step @p290 :rule instantiate :premises (@p243) :args ((@list tptp.n))) % 15.96/16.18 (step @p291 :rule cnf_or_pos :args (@t211)) % 15.96/16.18 (step @p292 :rule reordering :premises (@p291) :args ((or @t207 @t210 @t209 (not @t211)))) % 15.96/16.18 (step @p293 :rule chain_m_resolution :premises (@p292 @p290 @p289 @p53) :args (@t209 @t212 (@list @t207 @t204 @t211))) % 15.96/16.18 (step @p294 :rule instantiate :premises (@p52) :args ((@list tptp.n @t73 tptp.n))) % 15.96/16.18 (step @p295 :rule cnf_or_pos :args (@t215)) % 15.96/16.18 (step @p296 :rule reordering :premises (@p295) :args ((or @t207 @t205 @t214 (not @t215)))) % 15.96/16.18 (step @p297 :rule chain_m_resolution :premises (@p296 @p290 @p286 @p294) :args (@t214 @t212 (@list @t207 @t202 @t215))) % 15.96/16.18 (assume-push @p340 @t76) % 15.96/16.18 (assume-push @p341 @t216) % 15.96/16.18 (assume-push @p342 @t76) % 15.96/16.18 (assume-push @p343 @t216) % 15.96/16.18 (step @p302 :rule true_intro :premises (@p196)) % 15.96/16.18 (step @p303 :rule cong :premises (@p175 @p341) :args (@t213)) % 15.96/16.18 (step @p304 :rule trans :premises (@p303 @p302)) % 15.96/16.18 (step @p305 :rule true_elim :premises (@p304)) % 15.96/16.18 (step-pop @p344 :rule scope :premises (@p305)) % 15.96/16.18 (step-pop @p345 :rule scope :premises (@p344)) % 15.96/16.18 (step @p306 :rule process_scope :premises (@p345) :args (@t213)) % 15.96/16.18 (step @p309 :rule and_intro :premises (@p196 @p341)) % 15.96/16.18 (step @p310 :rule modus_ponens :premises (@p309 @p306)) % 15.96/16.18 (step-pop @p346 :rule scope :premises (@p310)) % 15.96/16.18 (step-pop @p347 :rule scope :premises (@p346)) % 15.96/16.18 (step @p311 :rule process_scope :premises (@p347) :args (@t213)) % 15.96/16.18 (step @p314 :rule implies_elim :premises (@p311)) % 15.96/16.18 (step @p315 :rule cnf_and_neg :args (@t217)) % 15.96/16.18 (step @p316 :rule resolution :premises (@p315 @p314) :args (true @t217)) % 15.96/16.18 (step @p317 :rule chain_m_resolution :premises (@p316 @p297 @p196) :args ((not @t216) @t181 (@list @t213 @t76))) % 15.96/16.18 (step @p318 :rule cnf_or_pos :args (@t218)) % 15.96/16.18 (step @p319 :rule reordering :premises (@p318) :args ((or @t216 @t208 @t219))) % 15.96/16.18 (step @p320 :rule chain_m_resolution :premises (@p319 @p317 @p293) :args (@t219 (@list true true) (@list @t216 @t208))) % 15.96/16.18 (step @p321 :rule eq-symm :args (@t71 tptp.n)) % 15.96/16.18 (step @p322 :rule refl :args (@t208)) % 15.96/16.18 (step @p323 :rule nary_cong :premises (@p322 @p321) :args (@t220)) % 15.96/16.18 (step @p324 :rule refl :args (@t72)) % 15.96/16.18 (step @p325 :rule cong :premises (@p324 @p323) :args (@t221)) % 15.96/16.18 (step @p326 :rule refl :args (@t6)) % 15.96/16.18 (step @p327 :rule cong :premises (@p326 @p325) :args ((=> @t6 @t221))) % 15.96/16.18 (assume-push @p348 @t6) % 15.96/16.18 (step @p329 :rule instantiate :premises (@p1) :args ((@list @t71 tptp.n))) % 15.96/16.18 (step-pop @p349 :rule scope :premises (@p329)) % 15.96/16.18 (step @p330 :rule process_scope :premises (@p349) :args (@t221)) % 15.96/16.18 (step @p332 :rule eq_resolve :premises (@p330 @p327)) % 15.96/16.18 (step @p333 :rule implies_elim :premises (@p332)) % 15.96/16.18 (step @p334 :rule chain_m_resolution :premises (@p333 @p1) :args (@t222 @t191 (@list @t6))) % 15.96/16.18 (step @p335 :rule cnf_equiv_pos1 :args (@t222)) % 15.96/16.18 (step @p336 :rule reordering :premises (@p335) :args ((or @t75 @t218 (not @t222)))) % 15.96/16.18 (step @p337 false :rule chain_m_resolution :premises (@p336 @p334 @p320 @p43) :args (false (@list false true false) (@list @t222 @t218 @t72))) % 15.96/16.18 ) % 15.96/16.18 % SZS output end Proof % 15.96/16.18 % cvc5 exiting %------------------------------------------------------------------------------