%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV491+3 : 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 : n013.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 09:01:40 AM UTC 2026 % Result : Theorem 33.46s 33.65s % Output : Proof 33.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV491+3 : 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 : n013.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 20:20:30 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 33.46/33.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.46/33.65 --- Run --no-e-matching --full-saturate-quant at 6... % 33.46/33.65 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.46/33.65 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.46/33.65 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.46/33.65 % SZS status Theorem % 33.46/33.65 % SZS output start Proof % 33.46/33.65 ( % 33.46/33.65 (declare-sort $$unsorted 0) % 33.46/33.65 (declare-const tptp.n $$unsorted) % 33.46/33.65 (declare-const tptp.real_one $$unsorted) % 33.46/33.65 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 33.46/33.65 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 33.46/33.65 (declare-const tptp.real_zero $$unsorted) % 33.46/33.65 (declare-const tptp.int_zero $$unsorted) % 33.46/33.65 (declare-const tptp.int_one $$unsorted) % 33.46/33.65 (declare-const tptp.int_leq (-> $$unsorted $$unsorted Bool)) % 33.46/33.65 (declare-const tptp.int_less (-> $$unsorted $$unsorted Bool)) % 33.46/33.65 (define @t1 () (@var "J" $$unsorted)) % 33.46/33.65 (define @t2 () (@var "I" $$unsorted)) % 33.46/33.65 (define @t3 () (= @t2 @t1)) % 33.46/33.65 (define @t4 () (tptp.int_less @t2 @t1)) % 33.46/33.65 (define @t5 () (@list @t2 @t1)) % 33.46/33.65 (define @t6 () (forall @t5 (= (tptp.int_leq @t2 @t1) (or @t4 @t3)))) % 33.46/33.65 (define @t7 () (@var "K" $$unsorted)) % 33.46/33.65 (define @t8 () (not @t3)) % 33.46/33.65 (define @t9 () (tptp.int_less tptp.int_zero tptp.int_one)) % 33.46/33.65 (define @t10 () (@list @t2)) % 33.46/33.65 (define @t11 () (@var "J2" $$unsorted)) % 33.46/33.65 (define @t12 () (@var "J1" $$unsorted)) % 33.46/33.65 (define @t13 () (@var "I2" $$unsorted)) % 33.46/33.65 (define @t14 () (@var "I1" $$unsorted)) % 33.46/33.65 (define @t15 () (tptp.int_less tptp.int_zero @t7)) % 33.46/33.65 (define @t16 () (tptp.plus @t2 @t7)) % 33.46/33.65 (define @t17 () (and (= @t16 @t1) @t15)) % 33.46/33.65 (define @t18 () (@list @t7)) % 33.46/33.65 (define @t19 () (exists @t18 @t17)) % 33.46/33.65 (define @t20 () (= @t4 @t19)) % 33.46/33.65 (define @t21 () (forall @t5 @t20)) % 33.46/33.65 (define @t22 () (tptp.int_leq tptp.int_one @t2)) % 33.46/33.65 (define @t23 () (@var "C" $$unsorted)) % 33.46/33.65 (define @t24 () (tptp.plus @t7 @t23)) % 33.46/33.65 (define @t25 () (tptp.a @t7 @t24)) % 33.46/33.65 (define @t26 () (tptp.int_leq @t7 @t2)) % 33.46/33.65 (define @t27 () (tptp.int_leq tptp.int_one @t7)) % 33.46/33.65 (define @t28 () (and @t27 @t26)) % 33.46/33.65 (define @t29 () (=> @t28 (= @t25 tptp.real_zero))) % 33.46/33.65 (define @t30 () (forall @t18 @t29)) % 33.46/33.65 (define @t31 () (= @t1 (tptp.plus @t2 @t23))) % 33.46/33.65 (define @t32 () (tptp.int_less tptp.int_zero @t23)) % 33.46/33.65 (define @t33 () (and @t32 @t31)) % 33.46/33.65 (define @t34 () (=> @t33 @t30)) % 33.46/33.65 (define @t35 () (@list @t23)) % 33.46/33.65 (define @t36 () (forall @t35 @t34)) % 33.46/33.65 (define @t37 () (tptp.a @t7 @t7)) % 33.46/33.65 (define @t38 () (tptp.int_leq @t7 @t1)) % 33.46/33.65 (define @t39 () (and @t27 @t38)) % 33.46/33.65 (define @t40 () (=> @t39 (= @t37 tptp.real_one))) % 33.46/33.65 (define @t41 () (forall @t18 @t40)) % 33.46/33.65 (define @t42 () (tptp.a @t24 @t7)) % 33.46/33.65 (define @t43 () (=> @t39 (= @t42 tptp.real_zero))) % 33.46/33.65 (define @t44 () (forall @t18 @t43)) % 33.46/33.65 (define @t45 () (= @t2 (tptp.plus @t1 @t23))) % 33.46/33.65 (define @t46 () (and @t32 @t45)) % 33.46/33.65 (define @t47 () (=> @t46 @t44)) % 33.46/33.65 (define @t48 () (forall @t35 @t47)) % 33.46/33.65 (define @t49 () (and @t48 @t41 @t36)) % 33.46/33.65 (define @t50 () (tptp.int_leq @t1 tptp.n)) % 33.46/33.65 (define @t51 () (tptp.int_leq tptp.int_one @t1)) % 33.46/33.65 (define @t52 () (tptp.int_leq @t2 tptp.n)) % 33.46/33.65 (define @t53 () (and @t22 @t52 @t51 @t50)) % 33.46/33.65 (define @t54 () (=> @t53 @t49)) % 33.46/33.65 (define @t55 () (forall @t5 @t54)) % 33.46/33.65 (define @t56 () (tptp.a @t2 @t1)) % 33.46/33.65 (define @t57 () (=> @t3 (= @t56 tptp.real_one))) % 33.46/33.65 (define @t58 () (= @t56 tptp.real_zero)) % 33.46/33.65 (define @t59 () (tptp.int_less @t1 @t2)) % 33.46/33.65 (define @t60 () (=> @t59 @t58)) % 33.46/33.65 (define @t61 () (=> @t4 @t58)) % 33.46/33.65 (define @t62 () (and @t61 @t60 @t57)) % 33.46/33.65 (define @t63 () (=> @t53 @t62)) % 33.46/33.65 (define @t64 () (forall @t5 @t63)) % 33.46/33.65 (define @t65 () (not @t64)) % 33.46/33.65 (define @t66 () (@var "BOUND_VARIABLE_7675" $$unsorted)) % 33.46/33.65 (define @t67 () (@var "BOUND_VARIABLE_7677" $$unsorted)) % 33.46/33.65 (define @t68 () (or (not (tptp.int_less tptp.int_zero @t66)) (not (= @t1 (tptp.plus @t2 @t66))) (not (tptp.int_leq tptp.int_one @t67)) (not (tptp.int_leq @t67 @t2)) (= tptp.real_zero (tptp.a @t67 (tptp.plus @t67 @t66))))) % 33.46/33.65 (define @t69 () (@var "BOUND_VARIABLE_7666" $$unsorted)) % 33.46/33.65 (define @t70 () (or (not (tptp.int_leq tptp.int_one @t69)) (not (tptp.int_leq @t69 @t1)) (= tptp.real_one (tptp.a @t69 @t69)))) % 33.46/33.65 (define @t71 () (@var "BOUND_VARIABLE_7651" $$unsorted)) % 33.46/33.65 (define @t72 () (@var "BOUND_VARIABLE_7649" $$unsorted)) % 33.46/33.65 (define @t73 () (or (not (tptp.int_less tptp.int_zero @t72)) (not (= @t2 (tptp.plus @t1 @t72))) (not (tptp.int_leq tptp.int_one @t71)) (not (tptp.int_leq @t71 @t1)) (= tptp.real_zero (tptp.a (tptp.plus @t71 @t72) @t71)))) % 33.46/33.65 (define @t74 () (and @t73 @t70 @t68)) % 33.46/33.65 (define @t75 () (not @t50)) % 33.46/33.65 (define @t76 () (not @t51)) % 33.46/33.65 (define @t77 () (not @t52)) % 33.46/33.65 (define @t78 () (not @t22)) % 33.46/33.65 (define @t79 () (or @t78 @t77 @t76 @t75 @t74)) % 33.46/33.65 (define @t80 () (@list @t72 @t71 @t69 @t66 @t67)) % 33.46/33.65 (define @t81 () (forall @t80 @t79)) % 33.46/33.65 (define @t82 () (forall (@list @t66 @t67) @t68)) % 33.46/33.65 (define @t83 () (@var "BOUND_VARIABLE_7623" $$unsorted)) % 33.46/33.65 (define @t84 () (forall @t80 @t68)) % 33.46/33.65 (define @t85 () (forall (@list @t69) @t70)) % 33.46/33.65 (define @t86 () (@list @t7)) % 33.46/33.65 (define @t87 () (forall @t80 @t70)) % 33.46/33.65 (define @t88 () (forall (@list @t72 @t71) @t73)) % 33.46/33.65 (define @t89 () (@var "BOUND_VARIABLE_7588" $$unsorted)) % 33.46/33.65 (define @t90 () (forall @t80 @t73)) % 33.46/33.65 (define @t91 () (and @t90 @t87 @t84)) % 33.46/33.65 (define @t92 () (forall @t80 @t74)) % 33.46/33.65 (define @t93 () (or @t78 @t77 @t76 @t75 @t92)) % 33.46/33.65 (define @t94 () (= tptp.real_zero (tptp.a @t83 (tptp.plus @t83 @t23)))) % 33.46/33.65 (define @t95 () (not (tptp.int_leq @t83 @t2))) % 33.46/33.65 (define @t96 () (not (tptp.int_leq tptp.int_one @t83))) % 33.46/33.65 (define @t97 () (not @t31)) % 33.46/33.65 (define @t98 () (not @t32)) % 33.46/33.65 (define @t99 () (or @t98 @t97 @t96 @t95 @t94)) % 33.46/33.65 (define @t100 () (@list @t23 @t83)) % 33.46/33.65 (define @t101 () (= tptp.real_one @t37)) % 33.46/33.65 (define @t102 () (not @t38)) % 33.46/33.65 (define @t103 () (not @t27)) % 33.46/33.65 (define @t104 () (or @t103 @t102 @t101)) % 33.46/33.65 (define @t105 () (= tptp.real_zero (tptp.a (tptp.plus @t89 @t23) @t89))) % 33.46/33.65 (define @t106 () (not (tptp.int_leq @t89 @t1))) % 33.46/33.65 (define @t107 () (not (tptp.int_leq tptp.int_one @t89))) % 33.46/33.65 (define @t108 () (not @t45)) % 33.46/33.65 (define @t109 () (or @t98 @t108 @t107 @t106 @t105)) % 33.46/33.65 (define @t110 () (@list @t23 @t89)) % 33.46/33.65 (define @t111 () (and (forall @t110 @t109) (forall @t18 @t104) (forall @t100 @t99))) % 33.46/33.65 (define @t112 () (or @t78 @t77 @t76 @t75 @t111)) % 33.46/33.65 (define @t113 () (or @t78 @t77 @t76 @t75)) % 33.46/33.65 (define @t114 () (not @t53)) % 33.46/33.65 (define @t115 () (or @t96 @t95 @t94)) % 33.46/33.65 (define @t116 () (or @t98 @t97 @t115)) % 33.46/33.65 (define @t117 () (forall @t100 @t116)) % 33.46/33.65 (define @t118 () (@list @t83)) % 33.46/33.65 (define @t119 () (forall @t118 @t116)) % 33.46/33.65 (define @t120 () (forall @t118 @t115)) % 33.46/33.65 (define @t121 () (or @t98 @t97 @t120)) % 33.46/33.65 (define @t122 () (= tptp.real_zero @t25)) % 33.46/33.65 (define @t123 () (not @t26)) % 33.46/33.65 (define @t124 () (or @t103 @t123 @t122)) % 33.46/33.65 (define @t125 () (forall @t18 @t124)) % 33.46/33.65 (define @t126 () (or @t98 @t97 @t125)) % 33.46/33.65 (define @t127 () (or @t103 @t102)) % 33.46/33.65 (define @t128 () (not @t39)) % 33.46/33.65 (define @t129 () (or @t107 @t106 @t105)) % 33.46/33.65 (define @t130 () (or @t98 @t108 @t129)) % 33.46/33.65 (define @t131 () (forall @t110 @t130)) % 33.46/33.65 (define @t132 () (@list @t89)) % 33.46/33.65 (define @t133 () (forall @t132 @t130)) % 33.46/33.65 (define @t134 () (forall @t132 @t129)) % 33.46/33.65 (define @t135 () (or @t98 @t108 @t134)) % 33.46/33.65 (define @t136 () (= tptp.real_zero @t42)) % 33.46/33.65 (define @t137 () (or @t103 @t102 @t136)) % 33.46/33.65 (define @t138 () (forall @t18 @t137)) % 33.46/33.65 (define @t139 () (or @t98 @t108 @t138)) % 33.46/33.65 (define @t140 () (= tptp.real_one @t56)) % 33.46/33.65 (define @t141 () (= tptp.real_zero @t56)) % 33.46/33.65 (define @t142 () (and (or (not @t4) @t141) (or (not @t59) @t141) (or @t8 @t140))) % 33.46/33.65 (define @t143 () (or @t78 @t77 @t76 @t75 @t142)) % 33.46/33.65 (define @t144 () (forall @t5 @t143)) % 33.46/33.65 (define @t145 () (@quantifiers_skolemize @t144 0)) % 33.46/33.65 (define @t146 () (and (=> @t4 @t141) (=> @t59 @t141) (=> @t3 @t140))) % 33.46/33.65 (define @t147 () (tptp.int_leq @t145 tptp.n)) % 33.46/33.65 (define @t148 () (@quantifiers_skolemize @t144 1)) % 33.46/33.65 (define @t149 () (tptp.a @t145 @t148)) % 33.46/33.65 (define @t150 () (= tptp.real_one @t149)) % 33.46/33.65 (define @t151 () (= @t145 @t148)) % 33.46/33.65 (define @t152 () (not @t151)) % 33.46/33.65 (define @t153 () (or @t152 @t150)) % 33.46/33.65 (define @t154 () (= tptp.real_zero @t149)) % 33.46/33.65 (define @t155 () (tptp.int_less @t148 @t145)) % 33.46/33.65 (define @t156 () (not @t155)) % 33.46/33.65 (define @t157 () (or @t156 @t154)) % 33.46/33.65 (define @t158 () (tptp.int_less @t145 @t148)) % 33.46/33.65 (define @t159 () (not @t158)) % 33.46/33.65 (define @t160 () (or @t159 @t154)) % 33.46/33.65 (define @t161 () (and @t160 @t157 @t153)) % 33.46/33.65 (define @t162 () (tptp.int_leq @t148 tptp.n)) % 33.46/33.65 (define @t163 () (not @t162)) % 33.46/33.65 (define @t164 () (tptp.int_leq tptp.int_one @t148)) % 33.46/33.65 (define @t165 () (not @t164)) % 33.46/33.65 (define @t166 () (not @t147)) % 33.46/33.65 (define @t167 () (tptp.int_leq tptp.int_one @t145)) % 33.46/33.65 (define @t168 () (not @t167)) % 33.46/33.65 (define @t169 () (or @t168 @t166 @t165 @t163 @t161)) % 33.46/33.65 (define @t170 () (@list true)) % 33.46/33.65 (define @t171 () (@list @t169)) % 33.46/33.65 (define @t172 () (tptp.plus @t145 tptp.int_one)) % 33.46/33.65 (define @t173 () (tptp.int_leq @t145 @t145)) % 33.46/33.65 (define @t174 () (not @t173)) % 33.46/33.65 (define @t175 () (not (= @t145 @t172))) % 33.46/33.65 (define @t176 () (not @t9)) % 33.46/33.65 (define @t177 () (tptp.a @t145 @t145)) % 33.46/33.65 (define @t178 () (= tptp.real_one @t177)) % 33.46/33.65 (define @t179 () (or @t168 @t174 @t178)) % 33.46/33.65 (define @t180 () (and (or @t176 @t175 @t168 @t174 (= tptp.real_zero (tptp.a @t172 @t145))) @t179 (or @t176 @t175 @t168 @t174 (= tptp.real_zero (tptp.a @t145 @t172))))) % 33.46/33.65 (define @t181 () (or @t168 @t166 @t168 @t166 @t180)) % 33.46/33.65 (define @t182 () (@list false false false)) % 33.46/33.65 (define @t183 () (@list false)) % 33.46/33.65 (define @t184 () (tptp.int_less @t145 @t145)) % 33.46/33.65 (define @t185 () (or @t184 (= @t145 @t145))) % 33.46/33.65 (define @t186 () (= @t173 @t185)) % 33.46/33.65 (define @t187 () (@list @t6)) % 33.46/33.65 (define @t188 () (or @t155 (= @t148 @t145))) % 33.46/33.65 (define @t189 () (tptp.int_leq @t148 @t145)) % 33.46/33.65 (define @t190 () (= @t189 @t188)) % 33.46/33.65 (define @t191 () (@list @t148 @t145)) % 33.46/33.65 (define @t192 () (or @t155 @t151)) % 33.46/33.65 (define @t193 () (= @t189 @t192)) % 33.46/33.65 (define @t194 () (@list @t145 @t148)) % 33.46/33.65 (define @t195 () (= @t1 @t16)) % 33.46/33.65 (define @t196 () (and @t195 @t15)) % 33.46/33.65 (define @t197 () (forall @t18 (not @t196))) % 33.46/33.65 (define @t198 () (not @t197)) % 33.46/33.65 (define @t199 () (not @t15)) % 33.46/33.65 (define @t200 () (forall @t18 (or (not (= @t148 (tptp.plus @t145 @t7))) @t199))) % 33.46/33.65 (define @t201 () (@quantifiers_skolemize @t200 0)) % 33.46/33.65 (define @t202 () (tptp.plus @t145 @t201)) % 33.46/33.65 (define @t203 () (= @t148 @t202)) % 33.46/33.65 (define @t204 () (tptp.int_less tptp.int_zero @t201)) % 33.46/33.65 (define @t205 () (not @t204)) % 33.46/33.65 (define @t206 () (not @t203)) % 33.46/33.65 (define @t207 () (or @t206 @t205)) % 33.46/33.65 (define @t208 () (tptp.a @t145 @t202)) % 33.46/33.65 (define @t209 () (= tptp.real_zero @t208)) % 33.46/33.65 (define @t210 () (or @t205 @t206 @t168 @t174 @t209)) % 33.46/33.65 (define @t211 () (not (tptp.int_leq tptp.int_one tptp.int_one))) % 33.46/33.65 (define @t212 () (or @t211 @t165 (= tptp.real_one (tptp.a tptp.int_one tptp.int_one)))) % 33.46/33.65 (define @t213 () (tptp.plus tptp.int_one tptp.int_one)) % 33.46/33.65 (define @t214 () (and (or @t176 (not (= @t145 (tptp.plus @t148 tptp.int_one))) @t211 @t165 (= tptp.real_zero (tptp.a @t213 tptp.int_one))) @t212 @t210)) % 33.46/33.65 (define @t215 () (or @t168 @t166 @t165 @t163 @t214)) % 33.46/33.65 (define @t216 () (@list false false false false false)) % 33.46/33.65 (define @t217 () (and @t203 @t209)) % 33.46/33.65 (define @t218 () (not @t209)) % 33.46/33.65 (define @t219 () (= tptp.real_one tptp.real_zero)) % 33.46/33.65 (define @t220 () (and @t151 @t178 @t203 @t209)) % 33.46/33.65 (define @t221 () (not @t178)) % 33.46/33.65 (define @t222 () (not @t207)) % 33.46/33.65 (define @t223 () (not @t200)) % 33.46/33.65 (define @t224 () (= @t158 @t223)) % 33.46/33.65 (define @t225 () (@list false false)) % 33.46/33.65 (define @t226 () (or @t158 @t189)) % 33.46/33.65 (define @t227 () (@list true false)) % 33.46/33.65 (define @t228 () (not @t159)) % 33.46/33.65 (define @t229 () (and @t155 @t151 @t159)) % 33.46/33.65 (define @t230 () (forall @t18 (or (not (= @t145 (tptp.plus @t148 @t7))) @t199))) % 33.46/33.65 (define @t231 () (not @t230)) % 33.46/33.65 (define @t232 () (= @t155 @t231)) % 33.46/33.65 (define @t233 () (@quantifiers_skolemize @t230 0)) % 33.46/33.65 (define @t234 () (tptp.int_less tptp.int_zero @t233)) % 33.46/33.65 (define @t235 () (not @t234)) % 33.46/33.65 (define @t236 () (tptp.plus @t148 @t233)) % 33.46/33.65 (define @t237 () (= @t145 @t236)) % 33.46/33.65 (define @t238 () (not @t237)) % 33.46/33.65 (define @t239 () (or @t238 @t235)) % 33.46/33.65 (define @t240 () (not @t239)) % 33.46/33.65 (define @t241 () (tptp.int_leq @t148 @t148)) % 33.46/33.65 (define @t242 () (tptp.int_less @t148 @t148)) % 33.46/33.65 (define @t243 () (or @t242 (= @t148 @t148))) % 33.46/33.65 (define @t244 () (= @t241 @t243)) % 33.46/33.65 (define @t245 () (tptp.a @t236 @t148)) % 33.46/33.65 (define @t246 () (= tptp.real_zero @t245)) % 33.46/33.65 (define @t247 () (not @t241)) % 33.46/33.65 (define @t248 () (or @t235 @t238 @t165 @t247 @t246)) % 33.46/33.65 (define @t249 () (and @t248 @t212 (or @t176 (not (= @t148 @t172)) @t211 @t168 (= tptp.real_zero (tptp.a tptp.int_one @t213))))) % 33.46/33.65 (define @t250 () (or @t168 @t166 @t165 @t163 @t249)) % 33.46/33.65 (define @t251 () (not @t246)) % 33.46/33.65 (define @t252 () (not @t154)) % 33.46/33.65 (define @t253 () (and @t252 @t237)) % 33.46/33.65 (define @t254 () (@list true false false)) % 33.46/33.65 (define @t255 () (and @t151 @t178)) % 33.46/33.65 (assume @p1 @t6) % 33.46/33.65 (assume @p2 (forall (@list @t2 @t1 @t7) (=> (and @t4 (tptp.int_less @t1 @t7)) (tptp.int_less @t2 @t7)))) % 33.46/33.65 (assume @p3 (forall @t5 (=> @t4 @t8))) % 33.46/33.65 (assume @p4 (forall @t5 (or @t4 (tptp.int_leq @t1 @t2)))) % 33.46/33.65 (assume @p5 @t9) % 33.46/33.65 (assume @p6 (forall @t5 (= (tptp.plus @t2 @t1) (tptp.plus @t1 @t2)))) % 33.46/33.65 (assume @p7 (forall @t10 (= (tptp.plus @t2 tptp.int_zero) @t2))) % 33.46/33.65 (assume @p8 (forall (@list @t14 @t12 @t13 @t11) (=> (and (tptp.int_less @t14 @t12) (tptp.int_leq @t13 @t11)) (tptp.int_leq (tptp.plus @t14 @t13) (tptp.plus @t12 @t11))))) % 33.46/33.65 (assume @p9 @t21) % 33.46/33.65 (assume @p10 (forall @t10 (= (tptp.int_less tptp.int_zero @t2) @t22))) % 33.46/33.65 (assume @p11 (not (= tptp.real_zero tptp.real_one))) % 33.46/33.65 (assume @p12 @t55) % 33.46/33.65 (assume @p13 @t65) % 33.46/33.65 (assume @p14 true) % 33.46/33.65 (step @p15 :rule quant-merge-prenex :args ((= (forall @t5 @t81) (forall (@list @t2 @t1 @t72 @t71 @t69 @t66 @t67) @t79)))) % 33.46/33.65 (step @p16 :rule alpha_equiv :args (@t82 (@list @t66 @t67) (@list @t23 @t83))) % 33.46/33.65 (step @p17 :rule quant-unused-vars :args ((= @t84 @t82))) % 33.46/33.65 (step @p18 :rule trans :premises (@p17 @p16)) % 33.46/33.65 (step @p19 :rule alpha_equiv :args (@t85 (@list @t69) @t86)) % 33.46/33.65 (step @p20 :rule quant-unused-vars :args ((= @t87 @t85))) % 33.46/33.65 (step @p21 :rule trans :premises (@p20 @p19)) % 33.46/33.65 (step @p22 :rule alpha_equiv :args (@t88 (@list @t72 @t71) (@list @t23 @t89))) % 33.46/33.65 (step @p23 :rule quant-unused-vars :args ((= @t90 @t88))) % 33.46/33.65 (step @p24 :rule trans :premises (@p23 @p22)) % 33.46/33.65 (step @p25 :rule nary_cong :premises (@p24 @p21 @p18) :args (@t91)) % 33.46/33.65 (step @p26 :rule quant-miniscope-and :args ((= @t92 @t91))) % 33.46/33.65 (step @p27 :rule trans :premises (@p26 @p25)) % 33.46/33.65 (step @p28 :rule refl :args (@t75)) % 33.46/33.65 (step @p29 :rule refl :args (@t76)) % 33.46/33.65 (step @p30 :rule refl :args (@t77)) % 33.46/33.65 (step @p31 :rule refl :args (@t78)) % 33.46/33.65 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29 @p28 @p27) :args (@t93)) % 33.46/33.65 (step @p33 :rule quant-miniscope-or :args ((= @t81 @t93))) % 33.46/33.65 (step @p34 :rule trans :premises (@p33 @p32)) % 33.46/33.65 (step @p35 :rule symm :premises (@p34)) % 33.46/33.65 (step @p36 :rule cong :premises (@p35) :args ((forall @t5 @t112))) % 33.46/33.65 (step @p37 :rule trans :premises (@p36 @p15)) % 33.46/33.65 (step @p38 :rule aci_norm :args ((= (or @t113 @t111) @t112))) % 33.46/33.65 (step @p39 :rule refl :args (@t111)) % 33.46/33.65 (step @p40 :rule aci_norm :args ((= (or @t78 (or @t77 (or @t76 @t75))) @t113))) % 33.46/33.65 (step @p41 :rule bool-and-de-morgan :args (@t51 @t50 true)) % 33.46/33.65 (step @p42 :rule nary_cong :premises (@p30 @p41) :args ((or @t77 (not (and @t51 @t50))))) % 33.46/33.65 (step @p43 :rule bool-and-de-morgan :args (@t52 @t51 (and @t50))) % 33.46/33.65 (step @p44 :rule trans :premises (@p43 @p42)) % 33.46/33.65 (step @p45 :rule nary_cong :premises (@p31 @p44) :args ((or @t78 (not (and @t52 @t51 @t50))))) % 33.46/33.65 (step @p46 :rule bool-and-de-morgan :args (@t22 @t52 (and @t51 @t50))) % 33.46/33.65 (step @p47 :rule trans :premises (@p46 @p45)) % 33.46/33.65 (step @p48 :rule trans :premises (@p47 @p40)) % 33.46/33.65 (step @p49 :rule nary_cong :premises (@p48 @p39) :args ((or @t114 @t111))) % 33.46/33.65 (step @p50 :rule trans :premises (@p49 @p38)) % 33.46/33.65 (step @p51 :rule bool-impl-elim :args (@t53 @t111)) % 33.46/33.65 (step @p52 :rule trans :premises (@p51 @p50)) % 33.46/33.65 (step @p53 :rule cong :premises (@p52) :args ((forall @t5 (=> @t53 @t111)))) % 33.46/33.65 (step @p54 :rule trans :premises (@p53 @p37)) % 33.46/33.65 (step @p55 :rule aci_norm :args ((= @t116 @t99))) % 33.46/33.65 (step @p56 :rule cong :premises (@p55) :args (@t117)) % 33.46/33.65 (step @p57 :rule quant-merge-prenex :args ((= (forall @t35 @t119) @t117))) % 33.46/33.65 (step @p58 :rule alpha_equiv :args (@t120 (@list @t83) @t86)) % 33.46/33.65 (step @p59 :rule refl :args (@t97)) % 33.46/33.65 (step @p60 :rule refl :args (@t98)) % 33.46/33.65 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args (@t121)) % 33.46/33.65 (step @p62 :rule quant-miniscope-or :args ((= @t119 @t121))) % 33.46/33.65 (step @p63 :rule trans :premises (@p62 @p61)) % 33.46/33.65 (step @p64 :rule symm :premises (@p63)) % 33.46/33.65 (step @p65 :rule cong :premises (@p64) :args ((forall @t35 @t126))) % 33.46/33.65 (step @p66 :rule trans :premises (@p65 @p57)) % 33.46/33.65 (step @p67 :rule trans :premises (@p66 @p56)) % 33.46/33.65 (step @p68 :rule aci_norm :args ((= (or (or @t98 @t97) @t125) @t126))) % 33.46/33.65 (step @p69 :rule refl :args (@t125)) % 33.46/33.65 (step @p70 :rule bool-and-de-morgan :args (@t32 @t31 true)) % 33.46/33.65 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or (not @t33) @t125))) % 33.46/33.65 (step @p72 :rule trans :premises (@p71 @p68)) % 33.46/33.65 (step @p73 :rule bool-impl-elim :args (@t33 @t125)) % 33.46/33.65 (step @p74 :rule trans :premises (@p73 @p72)) % 33.46/33.65 (step @p75 :rule cong :premises (@p74) :args ((forall @t35 (=> @t33 @t125)))) % 33.46/33.65 (step @p76 :rule trans :premises (@p75 @p67)) % 33.46/33.65 (step @p77 :rule aci_norm :args ((= (or (or @t103 @t123) @t122) @t124))) % 33.46/33.65 (step @p78 :rule refl :args (@t122)) % 33.46/33.65 (step @p79 :rule bool-and-de-morgan :args (@t27 @t26 true)) % 33.46/33.65 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or (not @t28) @t122))) % 33.46/33.65 (step @p81 :rule trans :premises (@p80 @p77)) % 33.46/33.65 (step @p82 :rule bool-impl-elim :args (@t28 @t122)) % 33.46/33.65 (step @p83 :rule trans :premises (@p82 @p81)) % 33.46/33.65 (step @p84 :rule cong :premises (@p83) :args ((forall @t18 (=> @t28 @t122)))) % 33.46/33.65 (step @p85 :rule eq-symm :args (@t25 tptp.real_zero)) % 33.46/33.65 (step @p86 :rule refl :args (@t28)) % 33.46/33.65 (step @p87 :rule cong :premises (@p86 @p85) :args (@t29)) % 33.46/33.65 (step @p88 :rule cong :premises (@p87) :args (@t30)) % 33.46/33.65 (step @p89 :rule trans :premises (@p88 @p84)) % 33.46/33.65 (step @p90 :rule refl :args (@t33)) % 33.46/33.65 (step @p91 :rule cong :premises (@p90 @p89) :args (@t34)) % 33.46/33.65 (step @p92 :rule cong :premises (@p91) :args (@t36)) % 33.46/33.65 (step @p93 :rule trans :premises (@p92 @p76)) % 33.46/33.65 (step @p94 :rule aci_norm :args ((= (or @t127 @t101) @t104))) % 33.46/33.65 (step @p95 :rule refl :args (@t101)) % 33.46/33.65 (step @p96 :rule bool-and-de-morgan :args (@t27 @t38 true)) % 33.46/33.65 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t128 @t101))) % 33.46/33.65 (step @p98 :rule trans :premises (@p97 @p94)) % 33.46/33.65 (step @p99 :rule bool-impl-elim :args (@t39 @t101)) % 33.46/33.65 (step @p100 :rule trans :premises (@p99 @p98)) % 33.46/33.65 (step @p101 :rule cong :premises (@p100) :args ((forall @t18 (=> @t39 @t101)))) % 33.46/33.65 (step @p102 :rule eq-symm :args (@t37 tptp.real_one)) % 33.46/33.65 (step @p103 :rule refl :args (@t39)) % 33.46/33.65 (step @p104 :rule cong :premises (@p103 @p102) :args (@t40)) % 33.46/33.65 (step @p105 :rule cong :premises (@p104) :args (@t41)) % 33.46/33.65 (step @p106 :rule trans :premises (@p105 @p101)) % 33.46/33.65 (step @p107 :rule aci_norm :args ((= @t130 @t109))) % 33.46/33.65 (step @p108 :rule cong :premises (@p107) :args (@t131)) % 33.46/33.65 (step @p109 :rule quant-merge-prenex :args ((= (forall @t35 @t133) @t131))) % 33.46/33.65 (step @p110 :rule alpha_equiv :args (@t134 (@list @t89) @t86)) % 33.46/33.65 (step @p111 :rule refl :args (@t108)) % 33.46/33.65 (step @p112 :rule nary_cong :premises (@p60 @p111 @p110) :args (@t135)) % 33.46/33.65 (step @p113 :rule quant-miniscope-or :args ((= @t133 @t135))) % 33.46/33.65 (step @p114 :rule trans :premises (@p113 @p112)) % 33.46/33.65 (step @p115 :rule symm :premises (@p114)) % 33.46/33.65 (step @p116 :rule cong :premises (@p115) :args ((forall @t35 @t139))) % 33.46/33.65 (step @p117 :rule trans :premises (@p116 @p109)) % 33.46/33.65 (step @p118 :rule trans :premises (@p117 @p108)) % 33.46/33.65 (step @p119 :rule aci_norm :args ((= (or (or @t98 @t108) @t138) @t139))) % 33.46/33.65 (step @p120 :rule refl :args (@t138)) % 33.46/33.65 (step @p121 :rule bool-and-de-morgan :args (@t32 @t45 true)) % 33.46/33.65 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or (not @t46) @t138))) % 33.46/33.65 (step @p123 :rule trans :premises (@p122 @p119)) % 33.46/33.65 (step @p124 :rule bool-impl-elim :args (@t46 @t138)) % 33.46/33.65 (step @p125 :rule trans :premises (@p124 @p123)) % 33.46/33.65 (step @p126 :rule cong :premises (@p125) :args ((forall @t35 (=> @t46 @t138)))) % 33.46/33.65 (step @p127 :rule trans :premises (@p126 @p118)) % 33.46/33.65 (step @p128 :rule aci_norm :args ((= (or @t127 @t136) @t137))) % 33.46/33.65 (step @p129 :rule refl :args (@t136)) % 33.46/33.65 (step @p130 :rule nary_cong :premises (@p96 @p129) :args ((or @t128 @t136))) % 33.46/33.65 (step @p131 :rule trans :premises (@p130 @p128)) % 33.46/33.65 (step @p132 :rule bool-impl-elim :args (@t39 @t136)) % 33.46/33.65 (step @p133 :rule trans :premises (@p132 @p131)) % 33.46/33.65 (step @p134 :rule cong :premises (@p133) :args ((forall @t18 (=> @t39 @t136)))) % 33.46/33.65 (step @p135 :rule eq-symm :args (@t42 tptp.real_zero)) % 33.46/33.65 (step @p136 :rule cong :premises (@p103 @p135) :args (@t43)) % 33.46/33.65 (step @p137 :rule cong :premises (@p136) :args (@t44)) % 33.46/33.65 (step @p138 :rule trans :premises (@p137 @p134)) % 33.46/33.65 (step @p139 :rule refl :args (@t46)) % 33.46/33.65 (step @p140 :rule cong :premises (@p139 @p138) :args (@t47)) % 33.46/33.65 (step @p141 :rule cong :premises (@p140) :args (@t48)) % 33.46/33.65 (step @p142 :rule trans :premises (@p141 @p127)) % 33.46/33.65 (step @p143 :rule nary_cong :premises (@p142 @p106 @p93) :args (@t49)) % 33.46/33.65 (step @p144 :rule refl :args (@t53)) % 33.46/33.65 (step @p145 :rule cong :premises (@p144 @p143) :args (@t54)) % 33.46/33.65 (step @p146 :rule cong :premises (@p145) :args (@t55)) % 33.46/33.65 (step @p147 :rule trans :premises (@p146 @p54)) % 33.46/33.65 (step @p148 :rule eq_resolve :premises (@p12 @p147)) % 33.46/33.65 (step @p149 :rule instantiate :premises (@p148) :args ((@list @t145 @t145 tptp.int_one @t145 @t145 tptp.int_one @t145))) % 33.46/33.65 (step @p150 :rule aci_norm :args ((= (or @t113 @t142) @t143))) % 33.46/33.65 (step @p151 :rule bool-impl-elim :args (@t3 @t140)) % 33.46/33.65 (step @p152 :rule bool-impl-elim :args (@t59 @t141)) % 33.46/33.65 (step @p153 :rule bool-impl-elim :args (@t4 @t141)) % 33.46/33.65 (step @p154 :rule nary_cong :premises (@p153 @p152 @p151) :args (@t146)) % 33.46/33.65 (step @p155 :rule nary_cong :premises (@p48 @p154) :args ((or @t114 @t146))) % 33.46/33.65 (step @p156 :rule trans :premises (@p155 @p150)) % 33.46/33.65 (step @p157 :rule bool-impl-elim :args (@t53 @t146)) % 33.46/33.65 (step @p158 :rule trans :premises (@p157 @p156)) % 33.46/33.65 (step @p159 :rule cong :premises (@p158) :args ((forall @t5 (=> @t53 @t146)))) % 33.46/33.65 (step @p160 :rule eq-symm :args (@t56 tptp.real_one)) % 33.46/33.65 (step @p161 :rule refl :args (@t3)) % 33.46/33.65 (step @p162 :rule cong :premises (@p161 @p160) :args (@t57)) % 33.46/33.65 (step @p163 :rule eq-symm :args (@t56 tptp.real_zero)) % 33.46/33.65 (step @p164 :rule refl :args (@t59)) % 33.46/33.65 (step @p165 :rule cong :premises (@p164 @p163) :args (@t60)) % 33.46/33.65 (step @p166 :rule refl :args (@t4)) % 33.46/33.65 (step @p167 :rule cong :premises (@p166 @p163) :args (@t61)) % 33.46/33.65 (step @p168 :rule nary_cong :premises (@p167 @p165 @p162) :args (@t62)) % 33.46/33.65 (step @p169 :rule cong :premises (@p144 @p168) :args (@t63)) % 33.46/33.65 (step @p170 :rule cong :premises (@p169) :args (@t64)) % 33.46/33.65 (step @p171 :rule trans :premises (@p170 @p159)) % 33.46/33.65 (step @p172 :rule cong :premises (@p171) :args (@t65)) % 33.46/33.65 (step @p173 :rule eq_resolve :premises (@p13 @p172)) % 33.46/33.65 (step @p174 :rule skolemize :premises (@p173)) % 33.46/33.65 (step @p175 :rule bool-double-not-elim :args (@t147)) % 33.46/33.65 (step @p176 :rule refl :args (@t169)) % 33.46/33.65 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or @t169 (not @t166)))) % 33.46/33.65 (step @p178 :rule cnf_or_neg :args (@t169 1)) % 33.46/33.65 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 33.46/33.65 (step @p180 :rule reordering :premises (@p179) :args ((or @t147 @t169))) % 33.46/33.65 (step @p181 :rule chain_m_resolution :premises (@p180 @p174) :args (@t147 @t170 @t171)) % 33.46/33.65 (step @p182 :rule bool-double-not-elim :args (@t167)) % 33.46/33.65 (step @p183 :rule nary_cong :premises (@p176 @p182) :args ((or @t169 (not @t168)))) % 33.46/33.65 (step @p184 :rule cnf_or_neg :args (@t169 0)) % 33.46/33.65 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 33.46/33.65 (step @p186 :rule reordering :premises (@p185) :args ((or @t167 @t169))) % 33.46/33.65 (step @p187 :rule chain_m_resolution :premises (@p186 @p174) :args (@t167 @t170 @t171)) % 33.46/33.65 (step @p188 :rule cnf_or_pos :args (@t181)) % 33.46/33.65 (step @p189 :rule factoring :premises (@p188)) % 33.46/33.65 (step @p190 :rule reordering :premises (@p189) :args ((or @t168 @t166 @t180 (not @t181)))) % 33.46/33.65 (step @p191 :rule chain_m_resolution :premises (@p190 @p187 @p181 @p149) :args (@t180 @t182 (@list @t167 @t147 @t181))) % 33.46/33.65 (step @p192 :rule cnf_and_pos :args (@t180 1)) % 33.46/33.65 (step @p193 :rule reordering :premises (@p192) :args ((or @t179 (not @t180)))) % 33.46/33.65 (step @p194 :rule chain_m_resolution :premises (@p193 @p191) :args (@t179 @t183 (@list @t180))) % 33.46/33.65 (step @p195 :rule bool-eq-true :args (@t173)) % 33.46/33.65 (step @p196 :rule absorb :args ((= (or @t184 true) true))) % 33.46/33.65 (step @p197 :rule eq-refl :args (@t145)) % 33.46/33.65 (step @p198 :rule refl :args (@t184)) % 33.46/33.65 (step @p199 :rule nary_cong :premises (@p198 @p197) :args (@t185)) % 33.46/33.65 (step @p200 :rule trans :premises (@p199 @p196)) % 33.46/33.65 (step @p201 :rule refl :args (@t173)) % 33.46/33.65 (step @p202 :rule cong :premises (@p201 @p200) :args (@t186)) % 33.46/33.65 (step @p203 :rule trans :premises (@p202 @p195)) % 33.46/33.65 (step @p204 :rule refl :args (@t6)) % 33.46/33.65 (step @p205 :rule cong :premises (@p204 @p203) :args ((=> @t6 @t186))) % 33.46/33.65 (assume-push @p503 @t6) % 33.46/33.65 (step @p207 :rule instantiate :premises (@p1) :args ((@list @t145 @t145))) % 33.46/33.65 (step-pop @p504 :rule scope :premises (@p207)) % 33.46/33.65 (step @p208 :rule process_scope :premises (@p504) :args (@t186)) % 33.46/33.65 (step @p210 :rule eq_resolve :premises (@p208 @p205)) % 33.46/33.65 (step @p211 :rule implies_elim :premises (@p210)) % 33.46/33.65 (step @p212 :rule chain_m_resolution :premises (@p211 @p1) :args (@t173 @t183 @t187)) % 33.46/33.65 (step @p213 :rule cnf_or_pos :args (@t179)) % 33.46/33.65 (step @p214 :rule reordering :premises (@p213) :args ((or @t168 @t174 @t178 (not @t179)))) % 33.46/33.65 (step @p215 :rule chain_m_resolution :premises (@p214 @p187 @p212 @p194) :args (@t178 @t182 (@list @t167 @t173 @t179))) % 33.46/33.65 (step @p216 :rule eq-symm :args (@t148 @t145)) % 33.46/33.65 (step 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:args ((=> @t6 @t244))) % 33.46/33.65 (assume-push @p547 @t6) % 33.46/33.65 (step @p427 :rule instantiate :premises (@p1) :args ((@list @t148 @t148))) % 33.46/33.65 (step-pop @p548 :rule scope :premises (@p427)) % 33.46/33.65 (step @p428 :rule process_scope :premises (@p548) :args (@t244)) % 33.46/33.65 (step @p430 :rule eq_resolve :premises (@p428 @p425)) % 33.46/33.65 (step @p431 :rule implies_elim :premises (@p430)) % 33.46/33.65 (step @p432 :rule chain_m_resolution :premises (@p431 @p1) :args (@t241 @t183 @t187)) % 33.46/33.65 (step @p433 :rule instantiate :premises (@p148) :args ((@list @t145 @t148 @t233 @t148 tptp.int_one tptp.int_one tptp.int_one))) % 33.46/33.65 (step @p434 :rule cnf_or_pos :args (@t250)) % 33.46/33.65 (step @p435 :rule reordering :premises (@p434) :args ((or @t168 @t166 @t165 @t163 @t249 (not @t250)))) % 33.46/33.65 (step @p436 :rule chain_m_resolution :premises (@p435 @p187 @p181 @p267 @p261 @p433) :args (@t249 @t216 (@list @t167 @t147 @t164 @t162 @t250))) % 33.46/33.65 (step @p437 :rule cnf_and_pos :args (@t249 0)) % 33.46/33.65 (step @p438 :rule reordering :premises (@p437) :args ((or @t248 (not @t249)))) % 33.46/33.65 (step @p439 :rule chain_m_resolution :premises (@p438 @p436) :args (@t248 @t183 (@list @t249))) % 33.46/33.65 (step @p440 :rule cnf_or_pos :args (@t248)) % 33.46/33.65 (step @p441 :rule reordering :premises (@p440) :args ((or @t165 @t247 @t238 @t235 @t246 (not @t248)))) % 33.46/33.65 (step @p442 :rule refl :args (@t251)) % 33.46/33.65 (step @p443 :rule refl :args (@t238)) % 33.46/33.65 (step @p444 :rule bool-double-not-elim :args (@t154)) % 33.46/33.65 (step @p445 :rule nary_cong :premises (@p444 @p443 @p442) :args ((or (not @t252) @t238 @t251))) % 33.46/33.65 (assume-push @p549 @t252) % 33.46/33.65 (assume-push @p550 @t237) % 33.46/33.65 (assume-push @p551 @t252) % 33.46/33.65 (assume-push @p552 @t237) % 33.46/33.65 (step @p450 :rule false_intro :premises (@p549)) % 33.46/33.65 (step @p451 :rule refl :args (@t148)) % 33.46/33.65 (step @p452 :rule symm :premises (@p550)) % 33.46/33.65 (step @p453 :rule cong :premises (@p452 @p451) :args (@t245)) % 33.46/33.65 (step @p454 :rule refl :args (tptp.real_zero)) % 33.46/33.65 (step @p455 :rule cong :premises (@p454 @p453) :args (@t246)) % 33.46/33.65 (step @p456 :rule trans :premises (@p455 @p450)) % 33.46/33.65 (step @p457 :rule false_elim :premises (@p456)) % 33.46/33.65 (step-pop @p553 :rule scope :premises (@p457)) % 33.46/33.65 (step-pop @p554 :rule scope :premises (@p553)) % 33.46/33.65 (step @p458 :rule process_scope :premises (@p554) :args (@t251)) % 33.46/33.65 (step @p461 :rule and_intro :premises (@p549 @p550)) % 33.46/33.65 (step @p462 :rule modus_ponens :premises (@p461 @p458)) % 33.46/33.65 (step-pop @p555 :rule scope :premises (@p462)) % 33.46/33.65 (step-pop @p556 :rule scope :premises (@p555)) % 33.46/33.65 (step @p463 :rule process_scope :premises (@p556) :args (@t251)) % 33.46/33.65 (step @p466 :rule implies_elim :premises (@p463)) % 33.46/33.65 (step @p467 :rule cnf_and_neg :args (@t253)) % 33.46/33.65 (step @p468 :rule resolution :premises (@p467 @p466) :args (true @t253)) % 33.46/33.65 (step @p469 :rule eq_resolve :premises (@p468 @p445)) % 33.46/33.65 (step @p470 :rule chain_m_resolution :premises (@p469 @p441 @p439 @p432 @p267 @p297 @p415 @p410 @p300 @p404 @p299 @p398 @p306 @p389 @p387 @p386 @p349) :args (@t156 (@list false false false false true false false true false true true false true false true true) (@list @t246 @t248 @t241 @t164 @t154 @t234 @t237 @t157 @t160 @t161 @t239 @t153 @t230 @t232 @t151 @t158))) % 33.46/33.65 (step @p471 :rule cnf_or_pos :args (@t192)) % 33.46/33.65 (step @p472 :rule reordering :premises (@p471) :args ((or @t155 @t151 (not @t192)))) % 33.46/33.65 (step @p473 :rule chain_m_resolution :premises (@p472 @p470 @p355) :args (@t151 @t227 (@list @t155 @t192))) % 33.46/33.65 (step @p474 :rule bool-double-not-elim :args (@t155)) % 33.46/33.65 (step @p475 :rule refl :args (@t157)) % 33.46/33.65 (step @p476 :rule nary_cong :premises (@p475 @p474) :args ((or @t157 (not @t156)))) % 33.46/33.65 (step @p477 :rule cnf_or_neg :args (@t157 0)) % 33.46/33.65 (step @p478 :rule eq_resolve :premises (@p477 @p476)) % 33.46/33.65 (step @p479 :rule reordering :premises (@p478) :args ((or @t155 @t157))) % 33.46/33.65 (step @p480 :rule chain_m_resolution :premises (@p479 @p470) :args (@t157 @t170 (@list @t155))) % 33.46/33.65 (step @p481 :rule chain_m_resolution :premises (@p300 @p299 @p404 @p480) :args ((not @t153) @t254 (@list @t161 @t160 @t157))) % 33.46/33.65 (step @p482 :rule cnf_or_neg :args (@t153 1)) % 33.46/33.65 (step @p483 :rule chain_m_resolution :premises (@p482 @p481) :args ((not @t150) @t170 (@list @t153))) % 33.46/33.65 (assume-push @p557 @t151) % 33.46/33.65 (assume-push @p558 @t178) % 33.46/33.65 (assume-push @p559 @t151) % 33.46/33.65 (assume-push @p560 @t178) % 33.46/33.65 (step @p281 :rule refl :args (@t145)) % 33.46/33.65 (step @p488 :rule cong :premises (@p281 @p557) :args (@t177)) % 33.46/33.65 (step @p489 :rule trans :premises (@p215 @p488)) % 33.46/33.65 (step-pop @p561 :rule scope :premises (@p489)) % 33.46/33.65 (step-pop @p562 :rule scope :premises (@p561)) % 33.46/33.65 (step @p490 :rule process_scope :premises (@p562) :args (@t150)) % 33.46/33.65 (step @p493 :rule and_intro :premises (@p557 @p215)) % 33.46/33.65 (step @p494 :rule modus_ponens :premises (@p493 @p490)) % 33.46/33.65 (step-pop @p563 :rule scope :premises (@p494)) % 33.46/33.65 (step-pop @p564 :rule scope :premises (@p563)) % 33.46/33.65 (step @p495 :rule process_scope :premises (@p564) :args (@t150)) % 33.46/33.65 (step @p498 :rule implies_elim :premises (@p495)) % 33.46/33.65 (step @p499 :rule cnf_and_neg :args (@t255)) % 33.46/33.65 (step @p500 :rule resolution :premises (@p499 @p498) :args (true @t255)) % 33.46/33.65 (step @p501 :rule reordering :premises (@p500) :args ((or @t152 @t150 @t221))) % 33.46/33.65 (step @p502 false :rule chain_m_resolution :premises (@p501 @p483 @p473 @p215) :args (false @t254 (@list @t150 @t151 @t178))) % 33.46/33.65 ) % 33.46/33.65 % SZS output end Proof % 33.46/33.65 % cvc5 exiting %------------------------------------------------------------------------------