%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS147+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:29:00 AM UTC 2026 % Result : Theorem 1.72s 2.01s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS147+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n026.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 05:28:40 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.72/2.01 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.72/2.01 % SZS status Theorem % 1.72/2.01 % SZS output start Proof % 1.72/2.01 ( % 1.72/2.01 (declare-sort $$unsorted 0) % 1.72/2.01 (declare-const tptp.iV8476 $$unsorted) % 1.72/2.01 (declare-const tptp.iV8470 $$unsorted) % 1.72/2.01 (declare-const tptp.iV8474 $$unsorted) % 1.72/2.01 (declare-const tptp.iV8472 $$unsorted) % 1.72/2.01 (declare-const tptp.iV8475 $$unsorted) % 1.72/2.01 (declare-const tptp.cC44 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC38 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC30 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.iV8469 $$unsorted) % 1.72/2.01 (declare-const tptp.cC46 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC20 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC2 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC68 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC8 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC80 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC40 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC78 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cTEST (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.iV8467 $$unsorted) % 1.72/2.01 (declare-const tptp.cC16 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC10 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC28 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.rR1 (-> $$unsorted $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC62 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC22 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.iV8471 $$unsorted) % 1.72/2.01 (declare-const tptp.cC36 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC48 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC12 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC64 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cTOP (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC50 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC52 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC54 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC56 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC18 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC58 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC6 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC60 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC26 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC66 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.iV8473 $$unsorted) % 1.72/2.01 (declare-const tptp.cC70 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC88 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC32 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC72 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC90 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC34 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC74 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC76 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC94 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC42 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC82 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC84 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC24 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.iV8468 $$unsorted) % 1.72/2.01 (declare-const tptp.cC4 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC86 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC14 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.cC92 (-> $$unsorted Bool)) % 1.72/2.01 (define @t1 () (@var "X" $$unsorted)) % 1.72/2.01 (define @t2 () (not (tptp.cowlNothing @t1))) % 1.72/2.01 (define @t3 () (tptp.cowlThing @t1)) % 1.72/2.01 (define @t4 () (@list @t1)) % 1.72/2.01 (define @t5 () (forall @t4 (and @t3 @t2))) % 1.72/2.01 (define @t6 () (forall @t4 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 1.72/2.01 (define @t7 () (tptp.cC8 @t1)) % 1.72/2.01 (define @t8 () (tptp.cC4 @t1)) % 1.72/2.01 (define @t9 () (@var "Y" $$unsorted)) % 1.72/2.01 (define @t10 () (tptp.rR1 @t1 @t9)) % 1.72/2.01 (define @t11 () (@list @t9)) % 1.72/2.01 (define @t12 () (tptp.cC12 @t1)) % 1.72/2.01 (define @t13 () (tptp.cTOP @t9)) % 1.72/2.01 (define @t14 () (and @t10 @t13)) % 1.72/2.01 (define @t15 () (exists @t11 @t14)) % 1.72/2.01 (define @t16 () (tptp.cC14 @t1)) % 1.72/2.01 (define @t17 () (= @t16 @t15)) % 1.72/2.01 (define @t18 () (forall @t4 @t17)) % 1.72/2.01 (define @t19 () (tptp.cC16 @t1)) % 1.72/2.01 (define @t20 () (tptp.cC18 @t1)) % 1.72/2.01 (define @t21 () (tptp.cC2 @t9)) % 1.72/2.01 (define @t22 () (not @t21)) % 1.72/2.01 (define @t23 () (and @t10 @t22)) % 1.72/2.01 (define @t24 () (exists @t11 @t23)) % 1.72/2.01 (define @t25 () (tptp.cC20 @t1)) % 1.72/2.01 (define @t26 () (= @t25 @t24)) % 1.72/2.01 (define @t27 () (forall @t4 @t26)) % 1.72/2.01 (define @t28 () (tptp.cC24 @t1)) % 1.72/2.01 (define @t29 () (tptp.cC28 @t1)) % 1.72/2.01 (define @t30 () (tptp.cC30 @t1)) % 1.72/2.01 (define @t31 () (and @t10 @t21)) % 1.72/2.01 (define @t32 () (exists @t11 @t31)) % 1.72/2.01 (define @t33 () (tptp.cC32 @t9)) % 1.72/2.01 (define @t34 () (not @t33)) % 1.72/2.01 (define @t35 () (and @t10 @t34)) % 1.72/2.01 (define @t36 () (exists @t11 @t35)) % 1.72/2.01 (define @t37 () (tptp.cC34 @t1)) % 1.72/2.01 (define @t38 () (= @t37 @t36)) % 1.72/2.01 (define @t39 () (forall @t4 @t38)) % 1.72/2.01 (define @t40 () (= @t8 @t24)) % 1.72/2.01 (define @t41 () (forall @t4 @t40)) % 1.72/2.01 (define @t42 () (tptp.cC40 @t1)) % 1.72/2.01 (define @t43 () (tptp.cC44 @t1)) % 1.72/2.01 (define @t44 () (tptp.cC46 @t1)) % 1.72/2.01 (define @t45 () (tptp.cC48 @t1)) % 1.72/2.01 (define @t46 () (forall @t4 (= @t45 @t24))) % 1.72/2.01 (define @t47 () (tptp.cC50 @t1)) % 1.72/2.01 (define @t48 () (tptp.cC54 @t1)) % 1.72/2.01 (define @t49 () (tptp.cC56 @t1)) % 1.72/2.01 (define @t50 () (tptp.cC58 @t1)) % 1.72/2.01 (define @t51 () (forall @t4 (= @t50 @t32))) % 1.72/2.01 (define @t52 () (tptp.cC2 @t1)) % 1.72/2.01 (define @t53 () (not @t52)) % 1.72/2.01 (define @t54 () (tptp.cC60 @t9)) % 1.72/2.01 (define @t55 () (and @t10 @t54)) % 1.72/2.01 (define @t56 () (exists @t11 @t55)) % 1.72/2.01 (define @t57 () (tptp.cC62 @t1)) % 1.72/2.01 (define @t58 () (= @t57 @t56)) % 1.72/2.01 (define @t59 () (forall @t4 @t58)) % 1.72/2.01 (define @t60 () (tptp.cC64 @t1)) % 1.72/2.01 (define @t61 () (tptp.cC70 @t1)) % 1.72/2.01 (define @t62 () (tptp.cC74 @t1)) % 1.72/2.01 (define @t63 () (tptp.cC76 @t1)) % 1.72/2.01 (define @t64 () (tptp.cC78 @t1)) % 1.72/2.01 (define @t65 () (tptp.cC6 @t9)) % 1.72/2.01 (define @t66 () (not @t65)) % 1.72/2.01 (define @t67 () (and @t10 @t66)) % 1.72/2.01 (define @t68 () (exists @t11 @t67)) % 1.72/2.01 (define @t69 () (= @t7 @t68)) % 1.72/2.01 (define @t70 () (forall @t4 @t69)) % 1.72/2.01 (define @t71 () (tptp.cC80 @t9)) % 1.72/2.01 (define @t72 () (and @t10 @t71)) % 1.72/2.01 (define @t73 () (exists @t11 @t72)) % 1.72/2.01 (define @t74 () (tptp.cC82 @t1)) % 1.72/2.01 (define @t75 () (= @t74 @t73)) % 1.72/2.01 (define @t76 () (forall @t4 @t75)) % 1.72/2.01 (define @t77 () (tptp.cC84 @t1)) % 1.72/2.01 (define @t78 () (tptp.cC90 @t1)) % 1.72/2.01 (define @t79 () (tptp.cC94 @t1)) % 1.72/2.01 (define @t80 () (tptp.cowlThing tptp.iV8467)) % 1.72/2.01 (define @t81 () (tptp.rR1 tptp.iV8467 tptp.iV8471)) % 1.72/2.01 (define @t82 () (tptp.rR1 tptp.iV8467 tptp.iV8469)) % 1.72/2.01 (define @t83 () (tptp.rR1 tptp.iV8467 tptp.iV8472)) % 1.72/2.01 (define @t84 () (tptp.rR1 tptp.iV8467 tptp.iV8474)) % 1.72/2.01 (define @t85 () (tptp.rR1 tptp.iV8467 tptp.iV8470)) % 1.72/2.01 (define @t86 () (tptp.cC6 tptp.iV8469)) % 1.72/2.01 (define @t87 () (tptp.cTOP tptp.iV8470)) % 1.72/2.01 (define @t88 () (tptp.cC2 tptp.iV8471)) % 1.72/2.01 (define @t89 () (not @t88)) % 1.72/2.01 (define @t90 () (tptp.cC78 tptp.iV8471)) % 1.72/2.01 (define @t91 () (not @t90)) % 1.72/2.01 (define @t92 () (tptp.cowlThing tptp.iV8471)) % 1.72/2.01 (define @t93 () (tptp.cC2 tptp.iV8472)) % 1.72/2.01 (define @t94 () (not @t93)) % 1.72/2.01 (define @t95 () (tptp.cowlThing tptp.iV8472)) % 1.72/2.01 (define @t96 () (tptp.rR1 tptp.iV8472 tptp.iV8476)) % 1.72/2.01 (define @t97 () (tptp.cC32 tptp.iV8474)) % 1.72/2.01 (define @t98 () (tptp.cC2 tptp.iV8476)) % 1.72/2.01 (define @t99 () (tptp.cC58 tptp.iV8472)) % 1.72/2.01 (define @t100 () (tptp.cC60 tptp.iV8472)) % 1.72/2.01 (define @t101 () (tptp.cC80 tptp.iV8471)) % 1.72/2.01 (define @t102 () (tptp.cC34 tptp.iV8467)) % 1.72/2.01 (define @t103 () (tptp.cC62 tptp.iV8467)) % 1.72/2.01 (define @t104 () (tptp.cC20 tptp.iV8467)) % 1.72/2.01 (define @t105 () (tptp.cC8 tptp.iV8467)) % 1.72/2.01 (define @t106 () (tptp.cC14 tptp.iV8467)) % 1.72/2.01 (define @t107 () (tptp.cC82 tptp.iV8467)) % 1.72/2.01 (define @t108 () (tptp.cC4 tptp.iV8467)) % 1.72/2.01 (define @t109 () (tptp.cC48 tptp.iV8467)) % 1.72/2.01 (define @t110 () (tptp.cC10 tptp.iV8467)) % 1.72/2.01 (define @t111 () (and @t5 @t6 @t110 @t109 @t108 @t107 @t106 @t105 @t104 @t80 @t103 @t102 @t92 @t101 @t100 @t95 @t99)) % 1.72/2.01 (define @t112 () (not @t111)) % 1.72/2.01 (define @t113 () (forall @t11 (not @t72))) % 1.72/2.01 (define @t114 () (not @t113)) % 1.72/2.01 (define @t115 () (@list tptp.iV8467)) % 1.72/2.01 (define @t116 () (not @t10)) % 1.72/2.01 (define @t117 () (forall @t11 (not @t31))) % 1.72/2.01 (define @t118 () (not @t117)) % 1.72/2.01 (define @t119 () (@list tptp.iV8472)) % 1.72/2.01 (define @t120 () (not @t98)) % 1.72/2.01 (define @t121 () (not @t96)) % 1.72/2.01 (define @t122 () (or @t121 @t120)) % 1.72/2.01 (define @t123 () (not @t122)) % 1.72/2.01 (define @t124 () (@list false false)) % 1.72/2.01 (define @t125 () (forall @t11 (or (not (tptp.rR1 tptp.iV8472 @t9)) @t22))) % 1.72/2.01 (define @t126 () (not @t125)) % 1.72/2.01 (define @t127 () (@list true)) % 1.72/2.01 (define @t128 () (= @t99 @t126)) % 1.72/2.01 (define @t129 () (not @t128)) % 1.72/2.01 (define @t130 () (@list true false)) % 1.72/2.01 (define @t131 () (not @t99)) % 1.72/2.01 (define @t132 () (and @t99 @t94)) % 1.72/2.01 (define @t133 () (= @t100 @t132)) % 1.72/2.01 (define @t134 () (@list tptp.iV8471)) % 1.72/2.01 (define @t135 () (and @t89 @t91)) % 1.72/2.01 (define @t136 () (= @t101 @t135)) % 1.72/2.01 (define @t137 () (forall @t11 (not @t35))) % 1.72/2.01 (define @t138 () (not @t137)) % 1.72/2.01 (define @t139 () (not @t84)) % 1.72/2.01 (define @t140 () (or @t139 @t97)) % 1.72/2.01 (define @t141 () (not @t140)) % 1.72/2.01 (define @t142 () (not (tptp.rR1 tptp.iV8467 @t9))) % 1.72/2.01 (define @t143 () (forall @t11 (or @t142 @t33))) % 1.72/2.01 (define @t144 () (not @t143)) % 1.72/2.01 (define @t145 () (= @t102 @t144)) % 1.72/2.01 (define @t146 () (not @t145)) % 1.72/2.01 (define @t147 () (forall @t11 (not @t55))) % 1.72/2.01 (define @t148 () (not @t147)) % 1.72/2.01 (define @t149 () (not @t100)) % 1.72/2.01 (define @t150 () (not @t83)) % 1.72/2.01 (define @t151 () (or @t150 @t149)) % 1.72/2.01 (define @t152 () (not @t151)) % 1.72/2.01 (define @t153 () (forall @t11 (or @t142 (not @t54)))) % 1.72/2.01 (define @t154 () (not @t153)) % 1.72/2.01 (define @t155 () (= @t103 @t154)) % 1.72/2.01 (define @t156 () (not @t155)) % 1.72/2.01 (define @t157 () (forall @t11 (not @t23))) % 1.72/2.01 (define @t158 () (not @t157)) % 1.72/2.01 (define @t159 () (not @t81)) % 1.72/2.01 (define @t160 () (or @t159 @t88)) % 1.72/2.01 (define @t161 () (not @t160)) % 1.72/2.01 (define @t162 () (forall @t11 (or @t142 @t21))) % 1.72/2.01 (define @t163 () (not @t162)) % 1.72/2.01 (define @t164 () (= @t104 @t163)) % 1.72/2.01 (define @t165 () (not @t164)) % 1.72/2.01 (define @t166 () (not @t163)) % 1.72/2.01 (define @t167 () (forall @t11 (not @t67))) % 1.72/2.01 (define @t168 () (not @t167)) % 1.72/2.01 (define @t169 () (not @t82)) % 1.72/2.01 (define @t170 () (or @t169 @t86)) % 1.72/2.01 (define @t171 () (not @t170)) % 1.72/2.01 (define @t172 () (forall @t11 (or @t142 @t65))) % 1.72/2.01 (define @t173 () (not @t172)) % 1.72/2.01 (define @t174 () (= @t105 @t173)) % 1.72/2.01 (define @t175 () (not @t174)) % 1.72/2.01 (define @t176 () (forall @t11 (not @t14))) % 1.72/2.01 (define @t177 () (not @t176)) % 1.72/2.01 (define @t178 () (not @t87)) % 1.72/2.01 (define @t179 () (not @t85)) % 1.72/2.01 (define @t180 () (or @t179 @t178)) % 1.72/2.01 (define @t181 () (not @t180)) % 1.72/2.01 (define @t182 () (forall @t11 (or @t142 (not @t13)))) % 1.72/2.01 (define @t183 () (not @t182)) % 1.72/2.01 (define @t184 () (= @t106 @t183)) % 1.72/2.01 (define @t185 () (not @t184)) % 1.72/2.01 (define @t186 () (= @t108 @t163)) % 1.72/2.01 (define @t187 () (not @t186)) % 1.72/2.01 (define @t188 () (= @t109 @t163)) % 1.72/2.01 (define @t189 () (not @t188)) % 1.72/2.01 (define @t190 () (and @t108 @t105)) % 1.72/2.01 (define @t191 () (not @t105)) % 1.72/2.01 (define @t192 () (not @t108)) % 1.72/2.01 (define @t193 () (= @t110 @t190)) % 1.72/2.01 (define @t194 () (forall @t4 @t2)) % 1.72/2.01 (define @t195 () (@list @t1)) % 1.72/2.01 (define @t196 () (@var "BOUND_VARIABLE_7803" $$unsorted)) % 1.72/2.01 (define @t197 () (forall @t4 @t3)) % 1.72/2.01 (define @t198 () (@var "BOUND_VARIABLE_7798" $$unsorted)) % 1.72/2.01 (define @t199 () (and @t197 @t194)) % 1.72/2.01 (define @t200 () (forall (@list @t196) (not (tptp.cowlNothing @t196)))) % 1.72/2.01 (define @t201 () (forall (@list @t198) (tptp.cowlThing @t198))) % 1.72/2.01 (define @t202 () (not @t101)) % 1.72/2.01 (define @t203 () (not @t107)) % 1.72/2.01 (define @t204 () (forall @t11 (or @t142 (not @t71)))) % 1.72/2.01 (define @t205 () (not @t204)) % 1.72/2.01 (define @t206 () (= @t107 @t205)) % 1.72/2.01 (define @t207 () (not @t206)) % 1.72/2.01 (define @t208 () (or @t159 @t202)) % 1.72/2.01 (define @t209 () (not @t208)) % 1.72/2.01 (assume @p1 @t5) % 1.72/2.01 (assume @p2 @t6) % 1.72/2.01 (assume @p3 (forall @t4 (= (tptp.cC10 @t1) (and @t8 @t7)))) % 1.72/2.01 (assume @p4 (forall @t4 (= @t12 (exists @t11 (and @t10 (tptp.cC10 @t9)))))) % 1.72/2.01 (assume @p5 @t18) % 1.72/2.01 (assume @p6 (forall @t4 (= @t19 (exists @t11 (and @t10 (not (tptp.cC14 @t9))))))) % 1.72/2.01 (assume @p7 (forall @t4 (= @t20 (and (not @t19) @t12)))) % 1.72/2.01 (assume @p8 @t27) % 1.72/2.01 (assume @p9 (forall @t4 (= (tptp.cC22 @t1) @t24))) % 1.72/2.01 (assume @p10 (forall @t4 (= @t28 (exists @t11 (and @t10 (tptp.cC22 @t9)))))) % 1.72/2.01 (assume @p11 (forall @t4 (= (tptp.cC26 @t1) (and (not @t25) @t28)))) % 1.72/2.01 (assume @p12 (forall @t4 (= @t29 (exists @t11 (and @t10 (tptp.cC26 @t9)))))) % 1.72/2.01 (assume @p13 (forall @t4 (= @t30 (and @t20 (not @t29))))) % 1.72/2.01 (assume @p14 (forall @t4 (= (tptp.cC32 @t1) @t32))) % 1.72/2.01 (assume @p15 @t39) % 1.72/2.01 (assume @p16 (forall @t4 (= (tptp.cC36 @t1) @t32))) % 1.72/2.01 (assume @p17 (forall @t4 (= (tptp.cC38 @t1) (exists @t11 (and @t10 (not (tptp.cC36 @t9))))))) % 1.72/2.01 (assume @p18 @t41) % 1.72/2.01 (assume @p19 (forall @t4 (= @t42 (exists @t11 (and @t10 (tptp.cC38 @t9)))))) % 1.72/2.01 (assume @p20 (forall @t4 (= (tptp.cC42 @t1) (and (not @t37) @t42)))) % 1.72/2.01 (assume @p21 (forall @t4 (= @t43 (exists @t11 (and @t10 (tptp.cC42 @t9)))))) % 1.72/2.01 (assume @p22 (forall @t4 (= @t44 (and (not @t43) @t30)))) % 1.72/2.01 (assume @p23 @t46) % 1.72/2.01 (assume @p24 (forall @t4 (= @t47 @t32))) % 1.72/2.01 (assume @p25 (forall @t4 (= (tptp.cC52 @t1) (and (not @t47) (not @t45))))) % 1.72/2.01 (assume @p26 (forall @t4 (= @t48 (exists @t11 (and @t10 (tptp.cC52 @t9)))))) % 1.72/2.01 (assume @p27 (forall @t4 (= @t49 (and (not @t48) @t44)))) % 1.72/2.01 (assume @p28 @t51) % 1.72/2.01 (assume @p29 (forall @t4 (= (tptp.cC6 @t1) @t24))) % 1.72/2.01 (assume @p30 (forall @t4 (= (tptp.cC60 @t1) (and @t50 @t53)))) % 1.72/2.01 (assume @p31 @t59) % 1.72/2.01 (assume @p32 (forall @t4 (= @t60 @t32))) % 1.72/2.01 (assume @p33 (forall @t4 (= (tptp.cC66 @t1) (and @t53 @t60)))) % 1.72/2.01 (assume @p34 (forall @t4 (= (tptp.cC68 @t1) (exists @t11 (and @t10 (tptp.cC66 @t9)))))) % 1.72/2.01 (assume @p35 (forall @t4 (= @t61 (exists @t11 (and @t10 (tptp.cC68 @t9)))))) % 1.72/2.01 (assume @p36 (forall @t4 (= (tptp.cC72 @t1) (and (not @t57) @t61)))) % 1.72/2.01 (assume @p37 (forall @t4 (= @t62 (exists @t11 (and @t10 (tptp.cC72 @t9)))))) % 1.72/2.01 (assume @p38 (forall @t4 (= @t63 (and (not @t62) @t49)))) % 1.72/2.01 (assume @p39 (forall @t4 (= @t64 @t24))) % 1.72/2.01 (assume @p40 @t70) % 1.72/2.01 (assume @p41 (forall @t4 (= (tptp.cC80 @t1) (and @t53 (not @t64))))) % 1.72/2.01 (assume @p42 @t76) % 1.72/2.01 (assume @p43 (forall @t4 (= @t77 @t24))) % 1.72/2.01 (assume @p44 (forall @t4 (= (tptp.cC86 @t1) (and (not @t77) @t53)))) % 1.72/2.01 (assume @p45 (forall @t4 (= (tptp.cC88 @t1) (exists @t11 (and @t10 (tptp.cC86 @t9)))))) % 1.72/2.01 (assume @p46 (forall @t4 (= @t78 (exists @t11 (and @t10 (tptp.cC88 @t9)))))) % 1.72/2.01 (assume @p47 (forall @t4 (= (tptp.cC92 @t1) (and (not @t74) @t78)))) % 1.72/2.01 (assume @p48 (forall @t4 (= @t79 (exists @t11 (and @t10 (tptp.cC92 @t9)))))) % 1.72/2.01 (assume @p49 (forall @t4 (= (tptp.cTEST @t1) (and (not @t79) @t63)))) % 1.72/2.01 (assume @p50 (not (tptp.cC92 tptp.iV8467))) % 1.72/2.01 (assume @p51 (not (tptp.cC72 tptp.iV8467))) % 1.72/2.01 (assume @p52 (not (tptp.cC42 tptp.iV8467))) % 1.72/2.01 (assume @p53 @t80) % 1.72/2.01 (assume @p54 (not (tptp.cC52 tptp.iV8467))) % 1.72/2.01 (assume @p55 (not (tptp.cC26 tptp.iV8467))) % 1.72/2.01 (assume @p56 @t81) % 1.72/2.01 (assume @p57 (tptp.rR1 tptp.iV8467 tptp.iV8473)) % 1.72/2.01 (assume @p58 (tptp.rR1 tptp.iV8467 tptp.iV8468)) % 1.72/2.01 (assume @p59 @t82) % 1.72/2.01 (assume @p60 (tptp.rR1 tptp.iV8467 tptp.iV8475)) % 1.72/2.01 (assume @p61 @t83) % 1.72/2.01 (assume @p62 @t84) % 1.72/2.01 (assume @p63 @t85) % 1.72/2.01 (assume @p64 (not (tptp.cC2 tptp.iV8468))) % 1.72/2.01 (assume @p65 (tptp.cowlThing tptp.iV8468)) % 1.72/2.01 (assume @p66 (not @t86)) % 1.72/2.01 (assume @p67 (forall @t4 (=> (tptp.rR1 tptp.iV8469 @t1) @t52))) % 1.72/2.01 (assume @p68 (tptp.cowlThing tptp.iV8469)) % 1.72/2.01 (assume @p69 @t87) % 1.72/2.01 (assume @p70 (tptp.cowlThing tptp.iV8470)) % 1.72/2.01 (assume @p71 @t89) % 1.72/2.01 (assume @p72 @t91) % 1.72/2.01 (assume @p73 @t92) % 1.72/2.01 (assume @p74 (forall @t4 (=> (tptp.rR1 tptp.iV8471 @t1) @t52))) % 1.72/2.01 (assume @p75 @t94) % 1.72/2.01 (assume @p76 @t95) % 1.72/2.01 (assume @p77 @t96) % 1.72/2.01 (assume @p78 (not (tptp.cC2 tptp.iV8473))) % 1.72/2.01 (assume @p79 (tptp.cowlThing tptp.iV8473)) % 1.72/2.01 (assume @p80 (forall @t4 (=> (tptp.rR1 tptp.iV8474 @t1) @t53))) % 1.72/2.01 (assume @p81 (not @t97)) % 1.72/2.01 (assume @p82 (tptp.cowlThing tptp.iV8474)) % 1.72/2.01 (assume @p83 (not (tptp.cC2 tptp.iV8475))) % 1.72/2.01 (assume @p84 (tptp.cowlThing tptp.iV8475)) % 1.72/2.01 (assume @p85 @t98) % 1.72/2.01 (assume @p86 (tptp.cowlThing tptp.iV8476)) % 1.72/2.01 (assume @p87 @t112) % 1.72/2.01 (assume @p88 true) % 1.72/2.01 (step @p89 :rule bool-and-de-morgan :args (@t10 @t71 true)) % 1.72/2.01 (step @p90 :rule cong :premises (@p89) :args (@t113)) % 1.72/2.01 (step @p91 :rule cong :premises (@p90) :args (@t114)) % 1.72/2.01 (step @p92 :rule exists-elim :args ((= @t73 @t114))) % 1.72/2.01 (step @p93 :rule trans :premises (@p92 @p91)) % 1.72/2.01 (step @p94 :rule refl :args (@t74)) % 1.72/2.01 (step @p95 :rule cong :premises (@p94 @p93) :args (@t75)) % 1.72/2.01 (step @p96 :rule cong :premises (@p95) :args (@t76)) % 1.72/2.01 (step @p97 :rule eq_resolve :premises (@p42 @p96)) % 1.72/2.01 (step @p98 :rule instantiate :premises (@p97) :args (@t115)) % 1.72/2.02 (step @p99 :rule eq-symm :args ((not (forall @t11 (or @t116 @t22))) @t50)) % 1.72/2.02 (step @p100 :rule refl :args (@t50)) % 1.72/2.02 (step @p101 :rule bool-and-de-morgan :args (@t10 @t21 true)) % 1.72/2.02 (step @p102 :rule cong :premises (@p101) :args (@t117)) % 1.72/2.02 (step @p103 :rule cong :premises (@p102) :args (@t118)) % 1.72/2.02 (step @p104 :rule exists-elim :args ((= @t32 @t118))) % 1.72/2.02 (step @p105 :rule trans :premises (@p104 @p103)) % 1.72/2.02 (step @p106 :rule cong :premises (@p105 @p100) :args ((= @t32 @t50))) % 1.72/2.02 (step @p107 :rule trans :premises (@p106 @p99)) % 1.72/2.02 (step @p108 :rule eq-symm :args (@t50 @t32)) % 1.72/2.02 (step @p109 :rule trans :premises (@p108 @p107)) % 1.72/2.02 (step @p110 :rule cong :premises (@p109) :args (@t51)) % 1.72/2.02 (step @p111 :rule eq_resolve :premises (@p28 @p110)) % 1.72/2.02 (step @p112 :rule instantiate :premises (@p111) :args (@t119)) % 1.72/2.02 (step @p113 :rule cnf_or_pos :args (@t122)) % 1.72/2.02 (step @p114 :rule reordering :premises (@p113) :args ((or @t121 @t120 @t123))) % 1.72/2.02 (step @p115 :rule chain_m_resolution :premises (@p114 @p77 @p85) :args (@t123 @t124 (@list @t96 @t98))) % 1.72/2.02 (assume-push @p374 @t125) % 1.72/2.02 (step @p117 :rule instantiate :premises (@p374) :args ((@list tptp.iV8476))) % 1.72/2.02 (step-pop @p375 :rule scope :premises (@p117)) % 1.72/2.02 (step @p118 :rule process_scope :premises (@p375) :args (@t122)) % 1.72/2.02 (step @p120 :rule implies_elim :premises (@p118)) % 1.72/2.02 (step @p121 :rule chain_m_resolution :premises (@p120 @p115) :args (@t126 @t127 (@list @t122))) % 1.72/2.02 (step @p122 :rule bool-double-not-elim :args (@t125)) % 1.72/2.02 (step @p123 :rule refl :args (@t99)) % 1.72/2.02 (step @p124 :rule refl :args (@t129)) % 1.72/2.02 (step @p125 :rule nary_cong :premises (@p124 @p123 @p122) :args ((or @t129 @t99 (not @t126)))) % 1.72/2.02 (step @p126 :rule cnf_equiv_pos2 :args (@t128)) % 1.72/2.02 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 1.72/2.02 (step @p128 :rule reordering :premises (@p127) :args ((or @t99 @t125 @t129))) % 1.72/2.02 (step @p129 :rule chain_m_resolution :premises (@p128 @p121 @p112) :args (@t99 @t130 (@list @t125 @t128))) % 1.72/2.02 (step @p130 :rule instantiate :premises (@p30) :args (@t119)) % 1.72/2.02 (step @p131 :rule bool-double-not-elim :args (@t93)) % 1.72/2.02 (step @p132 :rule refl :args (@t131)) % 1.72/2.02 (step @p133 :rule refl :args (@t132)) % 1.72/2.02 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131) :args ((or @t132 @t131 (not @t94)))) % 1.72/2.02 (step @p135 :rule cnf_and_neg :args (@t132)) % 1.72/2.02 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 1.72/2.02 (step @p137 :rule reordering :premises (@p136) :args ((or @t93 @t131 @t132))) % 1.72/2.02 (step @p138 :rule chain_m_resolution :premises (@p137 @p75 @p129) :args (@t132 @t130 (@list @t93 @t99))) % 1.72/2.02 (step @p139 :rule cnf_equiv_pos2 :args (@t133)) % 1.72/2.02 (step @p140 :rule reordering :premises (@p139) :args ((or @t100 (not @t132) (not @t133)))) % 1.72/2.02 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p130) :args (@t100 @t124 (@list @t132 @t133))) % 1.72/2.02 (step @p142 :rule instantiate :premises (@p41) :args (@t134)) % 1.72/2.02 (step @p143 :rule bool-double-not-elim :args (@t90)) % 1.72/2.02 (step @p144 :rule bool-double-not-elim :args (@t88)) % 1.72/2.02 (step @p145 :rule refl :args (@t135)) % 1.72/2.02 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143) :args ((or @t135 (not @t89) (not @t91)))) % 1.72/2.02 (step @p147 :rule cnf_and_neg :args (@t135)) % 1.72/2.02 (step @p148 :rule eq_resolve :premises (@p147 @p146)) % 1.72/2.02 (step @p149 :rule reordering :premises (@p148) :args ((or @t88 @t90 @t135))) % 1.72/2.02 (step @p150 :rule chain_m_resolution :premises (@p149 @p71 @p72) :args (@t135 (@list true true) (@list @t88 @t90))) % 1.72/2.02 (step @p151 :rule cnf_equiv_pos2 :args (@t136)) % 1.72/2.02 (step @p152 :rule reordering :premises (@p151) :args ((or @t101 (not @t135) (not @t136)))) % 1.72/2.02 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p142) :args (@t101 @t124 (@list @t135 @t136))) % 1.72/2.02 (step @p154 :rule bool-double-not-elim :args (@t33)) % 1.72/2.02 (step @p155 :rule refl :args (@t116)) % 1.72/2.02 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t116 (not @t34)))) % 1.72/2.02 (step @p157 :rule bool-and-de-morgan :args (@t10 @t34 true)) % 1.72/2.02 (step @p158 :rule trans :premises (@p157 @p156)) % 1.72/2.02 (step @p159 :rule cong :premises (@p158) :args (@t137)) % 1.72/2.02 (step @p160 :rule cong :premises (@p159) :args (@t138)) % 1.72/2.02 (step @p161 :rule exists-elim :args ((= @t36 @t138))) % 1.72/2.02 (step @p162 :rule trans :premises (@p161 @p160)) % 1.72/2.02 (step @p163 :rule refl :args (@t37)) % 1.72/2.02 (step @p164 :rule cong :premises (@p163 @p162) :args (@t38)) % 1.72/2.02 (step @p165 :rule cong :premises (@p164) :args (@t39)) % 1.72/2.02 (step @p166 :rule eq_resolve :premises (@p15 @p165)) % 1.72/2.02 (step @p167 :rule instantiate :premises (@p166) :args (@t115)) % 1.72/2.02 (step @p168 :rule cnf_or_pos :args (@t140)) % 1.72/2.02 (step @p169 :rule reordering :premises (@p168) :args ((or @t97 @t139 @t141))) % 1.72/2.02 (step @p170 :rule chain_m_resolution :premises (@p169 @p81 @p62) :args (@t141 @t130 (@list @t97 @t84))) % 1.72/2.02 (assume-push @p376 @t143) % 1.72/2.02 (step @p172 :rule instantiate :premises (@p376) :args ((@list tptp.iV8474))) % 1.72/2.02 (step-pop @p377 :rule scope :premises (@p172)) % 1.72/2.02 (step @p173 :rule process_scope :premises (@p377) :args (@t140)) % 1.72/2.02 (step @p175 :rule implies_elim :premises (@p173)) % 1.72/2.02 (step @p176 :rule chain_m_resolution :premises (@p175 @p170) :args (@t144 @t127 (@list @t140))) % 1.72/2.02 (step @p177 :rule bool-double-not-elim :args (@t143)) % 1.72/2.02 (step @p178 :rule refl :args (@t102)) % 1.72/2.02 (step @p179 :rule refl :args (@t146)) % 1.72/2.02 (step @p180 :rule nary_cong :premises (@p179 @p178 @p177) :args ((or @t146 @t102 (not @t144)))) % 1.72/2.02 (step @p181 :rule cnf_equiv_pos2 :args (@t145)) % 1.72/2.02 (step @p182 :rule eq_resolve :premises (@p181 @p180)) % 1.72/2.02 (step @p183 :rule reordering :premises (@p182) :args ((or @t102 @t143 @t146))) % 1.72/2.02 (step @p184 :rule chain_m_resolution :premises (@p183 @p176 @p167) :args (@t102 @t130 (@list @t143 @t145))) % 1.72/2.02 (step @p185 :rule bool-and-de-morgan :args (@t10 @t54 true)) % 1.72/2.02 (step @p186 :rule cong :premises (@p185) :args (@t147)) % 1.72/2.02 (step @p187 :rule cong :premises (@p186) :args (@t148)) % 1.72/2.02 (step @p188 :rule exists-elim :args ((= @t56 @t148))) % 1.72/2.02 (step @p189 :rule trans :premises (@p188 @p187)) % 1.72/2.02 (step @p190 :rule refl :args (@t57)) % 1.72/2.02 (step @p191 :rule cong :premises (@p190 @p189) :args (@t58)) % 1.72/2.02 (step @p192 :rule cong :premises (@p191) :args (@t59)) % 1.72/2.02 (step @p193 :rule eq_resolve :premises (@p31 @p192)) % 1.72/2.02 (step @p194 :rule instantiate :premises (@p193) :args (@t115)) % 1.72/2.02 (step @p195 :rule cnf_or_pos :args (@t151)) % 1.72/2.02 (step @p196 :rule reordering :premises (@p195) :args ((or @t150 @t149 @t152))) % 1.72/2.02 (step @p197 :rule chain_m_resolution :premises (@p196 @p61 @p141) :args (@t152 @t124 (@list @t83 @t100))) % 1.72/2.02 (assume-push @p378 @t153) % 1.72/2.02 (step @p199 :rule instantiate :premises (@p378) :args (@t119)) % 1.72/2.02 (step-pop @p379 :rule scope :premises (@p199)) % 1.72/2.02 (step @p200 :rule process_scope :premises (@p379) :args (@t151)) % 1.72/2.02 (step @p202 :rule implies_elim :premises (@p200)) % 1.72/2.02 (step @p203 :rule chain_m_resolution :premises (@p202 @p197) :args (@t154 @t127 (@list @t151))) % 1.72/2.02 (step @p204 :rule bool-double-not-elim :args (@t153)) % 1.72/2.02 (step @p205 :rule refl :args (@t103)) % 1.72/2.02 (step @p206 :rule refl :args (@t156)) % 1.72/2.02 (step @p207 :rule nary_cong :premises (@p206 @p205 @p204) :args ((or @t156 @t103 (not @t154)))) % 1.72/2.02 (step @p208 :rule cnf_equiv_pos2 :args (@t155)) % 1.72/2.02 (step @p209 :rule eq_resolve :premises (@p208 @p207)) % 1.72/2.02 (step @p210 :rule reordering :premises (@p209) :args ((or @t103 @t153 @t156))) % 1.72/2.02 (step @p211 :rule chain_m_resolution :premises (@p210 @p203 @p194) :args (@t103 @t130 (@list @t153 @t155))) % 1.72/2.02 (step @p212 :rule bool-double-not-elim :args (@t21)) % 1.72/2.02 (step @p213 :rule nary_cong :premises (@p155 @p212) :args ((or @t116 (not @t22)))) % 1.72/2.02 (step @p214 :rule bool-and-de-morgan :args (@t10 @t22 true)) % 1.72/2.02 (step @p215 :rule trans :premises (@p214 @p213)) % 1.72/2.02 (step @p216 :rule cong :premises (@p215) :args (@t157)) % 1.72/2.02 (step @p217 :rule cong :premises (@p216) :args (@t158)) % 1.72/2.02 (step @p218 :rule exists-elim :args ((= @t24 @t158))) % 1.72/2.02 (step @p219 :rule trans :premises (@p218 @p217)) % 1.72/2.02 (step @p220 :rule refl :args (@t25)) % 1.72/2.02 (step @p221 :rule cong :premises (@p220 @p219) :args (@t26)) % 1.72/2.02 (step @p222 :rule cong :premises (@p221) :args (@t27)) % 1.72/2.02 (step @p223 :rule eq_resolve :premises (@p8 @p222)) % 1.72/2.02 (step @p224 :rule instantiate :premises (@p223) :args (@t115)) % 1.72/2.02 (step @p225 :rule cnf_or_pos :args (@t160)) % 1.72/2.02 (step @p226 :rule reordering :premises (@p225) :args ((or @t88 @t159 @t161))) % 1.72/2.02 (step @p227 :rule chain_m_resolution :premises (@p226 @p71 @p56) :args (@t161 @t130 (@list @t88 @t81))) % 1.72/2.02 (assume-push @p380 @t162) % 1.72/2.02 (step @p229 :rule instantiate :premises (@p380) :args (@t134)) % 1.72/2.02 (step-pop @p381 :rule scope :premises (@p229)) % 1.72/2.02 (step @p230 :rule process_scope :premises (@p381) :args (@t160)) % 1.72/2.02 (step @p232 :rule implies_elim :premises (@p230)) % 1.72/2.02 (step @p233 :rule chain_m_resolution :premises (@p232 @p227) :args (@t163 @t127 (@list @t160))) % 1.72/2.02 (step @p234 :rule bool-double-not-elim :args (@t162)) % 1.72/2.02 (step @p235 :rule refl :args (@t104)) % 1.72/2.02 (step @p236 :rule refl :args (@t165)) % 1.72/2.02 (step @p237 :rule nary_cong :premises (@p236 @p235 @p234) :args ((or @t165 @t104 @t166))) % 1.72/2.02 (step @p238 :rule cnf_equiv_pos2 :args (@t164)) % 1.72/2.02 (step @p239 :rule eq_resolve :premises (@p238 @p237)) % 1.72/2.02 (step @p240 :rule reordering :premises (@p239) :args ((or @t104 @t162 @t165))) % 1.72/2.02 (step @p241 :rule chain_m_resolution :premises (@p240 @p233 @p224) :args (@t104 @t130 (@list @t162 @t164))) % 1.72/2.02 (step @p242 :rule bool-double-not-elim :args (@t65)) % 1.72/2.02 (step @p243 :rule nary_cong :premises (@p155 @p242) :args ((or @t116 (not @t66)))) % 1.72/2.02 (step @p244 :rule bool-and-de-morgan :args (@t10 @t66 true)) % 1.72/2.02 (step @p245 :rule trans :premises (@p244 @p243)) % 1.72/2.02 (step @p246 :rule cong :premises (@p245) :args (@t167)) % 1.72/2.02 (step @p247 :rule cong :premises (@p246) :args (@t168)) % 1.72/2.02 (step @p248 :rule exists-elim :args ((= @t68 @t168))) % 1.72/2.02 (step @p249 :rule trans :premises (@p248 @p247)) % 1.72/2.02 (step @p250 :rule refl :args (@t7)) % 1.72/2.02 (step @p251 :rule cong :premises (@p250 @p249) :args (@t69)) % 1.72/2.02 (step @p252 :rule cong :premises (@p251) :args (@t70)) % 1.72/2.02 (step @p253 :rule eq_resolve :premises (@p40 @p252)) % 1.72/2.02 (step @p254 :rule instantiate :premises (@p253) :args (@t115)) % 1.72/2.02 (step @p255 :rule cnf_or_pos :args (@t170)) % 1.72/2.02 (step @p256 :rule reordering :premises (@p255) :args ((or @t86 @t169 @t171))) % 1.72/2.02 (step @p257 :rule chain_m_resolution :premises (@p256 @p66 @p59) :args (@t171 @t130 (@list @t86 @t82))) % 1.72/2.02 (assume-push @p382 @t172) % 1.72/2.02 (step @p259 :rule instantiate :premises (@p382) :args ((@list tptp.iV8469))) % 1.72/2.02 (step-pop @p383 :rule scope :premises (@p259)) % 1.72/2.02 (step @p260 :rule process_scope :premises (@p383) :args (@t170)) % 1.72/2.02 (step @p262 :rule implies_elim :premises (@p260)) % 1.72/2.02 (step @p263 :rule chain_m_resolution :premises (@p262 @p257) :args (@t173 @t127 (@list @t170))) % 1.72/2.02 (step @p264 :rule bool-double-not-elim :args (@t172)) % 1.72/2.02 (step @p265 :rule refl :args (@t105)) % 1.72/2.02 (step @p266 :rule refl :args (@t175)) % 1.72/2.02 (step @p267 :rule nary_cong :premises (@p266 @p265 @p264) :args ((or @t175 @t105 (not @t173)))) % 1.72/2.02 (step @p268 :rule cnf_equiv_pos2 :args (@t174)) % 1.72/2.02 (step @p269 :rule eq_resolve :premises (@p268 @p267)) % 1.72/2.02 (step @p270 :rule reordering :premises (@p269) :args ((or @t105 @t172 @t175))) % 1.72/2.02 (step @p271 :rule chain_m_resolution :premises (@p270 @p263 @p254) :args (@t105 @t130 (@list @t172 @t174))) % 1.72/2.02 (step @p272 :rule bool-and-de-morgan :args (@t10 @t13 true)) % 1.72/2.02 (step @p273 :rule cong :premises (@p272) :args (@t176)) % 1.72/2.02 (step @p274 :rule cong :premises (@p273) :args (@t177)) % 1.72/2.02 (step @p275 :rule exists-elim :args ((= @t15 @t177))) % 1.72/2.02 (step @p276 :rule trans :premises (@p275 @p274)) % 1.72/2.02 (step @p277 :rule refl :args (@t16)) % 1.72/2.02 (step @p278 :rule cong :premises (@p277 @p276) :args (@t17)) % 1.72/2.02 (step @p279 :rule cong :premises (@p278) :args (@t18)) % 1.72/2.02 (step @p280 :rule eq_resolve :premises (@p5 @p279)) % 1.72/2.02 (step @p281 :rule instantiate :premises (@p280) :args (@t115)) % 1.72/2.02 (step @p282 :rule cnf_or_pos :args (@t180)) % 1.72/2.02 (step @p283 :rule reordering :premises (@p282) :args ((or @t179 @t178 @t181))) % 1.72/2.02 (step @p284 :rule chain_m_resolution :premises (@p283 @p63 @p69) :args (@t181 @t124 (@list @t85 @t87))) % 1.72/2.02 (assume-push @p384 @t182) % 1.72/2.02 (step @p286 :rule instantiate :premises (@p384) :args ((@list tptp.iV8470))) % 1.72/2.02 (step-pop @p385 :rule scope :premises (@p286)) % 1.72/2.02 (step @p287 :rule process_scope :premises (@p385) :args (@t180)) % 1.72/2.02 (step @p289 :rule implies_elim :premises (@p287)) % 1.72/2.02 (step @p290 :rule chain_m_resolution :premises (@p289 @p284) :args (@t183 @t127 (@list @t180))) % 1.72/2.02 (step @p291 :rule bool-double-not-elim :args (@t182)) % 1.72/2.02 (step @p292 :rule refl :args (@t106)) % 1.72/2.02 (step @p293 :rule refl :args (@t185)) % 1.72/2.02 (step @p294 :rule nary_cong :premises (@p293 @p292 @p291) :args ((or @t185 @t106 (not @t183)))) % 1.72/2.02 (step @p295 :rule cnf_equiv_pos2 :args (@t184)) % 1.72/2.02 (step @p296 :rule eq_resolve :premises (@p295 @p294)) % 1.72/2.02 (step @p297 :rule reordering :premises (@p296) :args ((or @t106 @t182 @t185))) % 1.72/2.02 (step @p298 :rule chain_m_resolution :premises (@p297 @p290 @p281) :args (@t106 @t130 (@list @t182 @t184))) % 1.72/2.02 (step @p299 :rule refl :args (@t8)) % 1.72/2.02 (step @p300 :rule cong :premises (@p299 @p219) :args (@t40)) % 1.72/2.02 (step @p301 :rule cong :premises (@p300) :args (@t41)) % 1.72/2.02 (step @p302 :rule eq_resolve :premises (@p18 @p301)) % 1.72/2.02 (step @p303 :rule instantiate :premises (@p302) :args (@t115)) % 1.72/2.02 (step @p304 :rule refl :args (@t108)) % 1.72/2.02 (step @p305 :rule refl :args (@t187)) % 1.72/2.02 (step @p306 :rule nary_cong :premises (@p305 @p304 @p234) :args ((or @t187 @t108 @t166))) % 1.72/2.02 (step @p307 :rule cnf_equiv_pos2 :args (@t186)) % 1.72/2.02 (step @p308 :rule eq_resolve :premises (@p307 @p306)) % 1.72/2.02 (step @p309 :rule reordering :premises (@p308) :args ((or @t108 @t162 @t187))) % 1.72/2.02 (step @p310 :rule chain_m_resolution :premises (@p309 @p233 @p303) :args (@t108 @t130 (@list @t162 @t186))) % 1.72/2.02 (step @p311 :rule eq-symm :args ((not (forall @t11 (or @t116 @t21))) @t45)) % 1.72/2.02 (step @p312 :rule refl :args (@t45)) % 1.72/2.02 (step @p313 :rule cong :premises (@p219 @p312) :args ((= @t24 @t45))) % 1.72/2.02 (step @p314 :rule trans :premises (@p313 @p311)) % 1.72/2.02 (step @p315 :rule eq-symm :args (@t45 @t24)) % 1.72/2.02 (step @p316 :rule trans :premises (@p315 @p314)) % 1.72/2.02 (step @p317 :rule cong :premises (@p316) :args (@t46)) % 1.72/2.02 (step @p318 :rule eq_resolve :premises (@p23 @p317)) % 1.72/2.02 (step @p319 :rule instantiate :premises (@p318) :args (@t115)) % 1.72/2.02 (step @p320 :rule refl :args (@t109)) % 1.72/2.02 (step @p321 :rule refl :args (@t189)) % 1.72/2.02 (step @p322 :rule nary_cong :premises (@p321 @p320 @p234) :args ((or @t189 @t109 @t166))) % 1.72/2.02 (step @p323 :rule cnf_equiv_pos2 :args (@t188)) % 1.72/2.02 (step @p324 :rule eq_resolve :premises (@p323 @p322)) % 1.72/2.02 (step @p325 :rule reordering :premises (@p324) :args ((or @t109 @t162 @t189))) % 1.72/2.02 (step @p326 :rule chain_m_resolution :premises (@p325 @p233 @p319) :args (@t109 @t130 (@list @t162 @t188))) % 1.72/2.02 (step @p327 :rule instantiate :premises (@p3) :args (@t115)) % 1.72/2.02 (step @p328 :rule cnf_and_neg :args (@t190)) % 1.72/2.02 (step @p329 :rule reordering :premises (@p328) :args ((or @t192 @t191 @t190))) % 1.72/2.02 (step @p330 :rule chain_m_resolution :premises (@p329 @p310 @p271) :args (@t190 @t124 (@list @t108 @t105))) % 1.72/2.02 (step @p331 :rule cnf_equiv_pos2 :args (@t193)) % 1.72/2.02 (step @p332 :rule reordering :premises (@p331) :args ((or @t110 (not @t190) (not @t193)))) % 1.72/2.02 (step @p333 :rule chain_m_resolution :premises (@p332 @p330 @p327) :args (@t110 @t124 (@list @t190 @t193))) % 1.72/2.02 (step @p334 :rule alpha_equiv :args (@t194 @t195 (@list @t196))) % 1.72/2.02 (step @p335 :rule alpha_equiv :args (@t197 @t195 (@list @t198))) % 1.72/2.02 (step @p336 :rule nary_cong :premises (@p335 @p334) :args (@t199)) % 1.72/2.02 (step @p337 :rule quant-miniscope-and :args ((= @t5 @t199))) % 1.72/2.02 (step @p338 :rule trans :premises (@p337 @p336)) % 1.72/2.02 (step @p339 :rule eq_resolve :premises (@p1 @p338)) % 1.72/2.02 (step @p340 :rule and_elim :premises (@p339) :args (1)) % 1.72/2.02 (step @p341 :rule and_elim :premises (@p339) :args (0)) % 1.72/2.02 (step @p342 :rule aci_norm :args ((= (and (and @t201 @t200) @t6 @t110 @t109 @t108 @t107 @t106 @t105 @t104 @t80 @t103 @t102 @t92 @t101 @t100 @t95 @t99) (and @t6 @t110 @t109 @t108 @t107 @t106 @t105 @t104 @t80 @t103 @t102 @t92 @t101 @t100 @t95 @t99 @t201 @t200)))) % 1.72/2.02 (step @p343 :rule refl :args (@t95)) % 1.72/2.02 (step @p344 :rule refl :args (@t100)) % 1.72/2.02 (step @p345 :rule refl :args (@t101)) % 1.72/2.02 (step @p346 :rule refl :args (@t92)) % 1.72/2.02 (step @p347 :rule refl :args (@t80)) % 1.72/2.02 (step @p348 :rule refl :args (@t107)) % 1.72/2.02 (step @p349 :rule refl :args (@t110)) % 1.72/2.02 (step @p350 :rule refl :args (@t6)) % 1.72/2.02 (step @p351 :rule nary_cong :premises (@p338 @p350 @p349 @p320 @p304 @p348 @p292 @p265 @p235 @p347 @p205 @p178 @p346 @p345 @p344 @p343 @p123) :args (@t111)) % 1.72/2.02 (step @p352 :rule trans :premises (@p351 @p342)) % 1.72/2.02 (step @p353 :rule cong :premises (@p352) :args (@t112)) % 1.72/2.02 (step @p354 :rule eq_resolve :premises (@p87 @p353)) % 1.72/2.02 (step @p355 :rule not_and :premises (@p354)) % 1.72/2.02 (step @p356 :rule reordering :premises (@p355) :args ((or (not @t201) (not @t200) (not @t6) (not @t80) (not @t92) (not @t95) (not @t110) (not @t109) @t192 @t203 (not @t106) @t191 (not @t104) (not @t103) (not @t102) @t202 @t149 @t131))) % 1.72/2.02 (step @p357 :rule chain_m_resolution :premises (@p356 @p341 @p340 @p2 @p53 @p73 @p76 @p333 @p326 @p310 @p298 @p271 @p241 @p211 @p184 @p153 @p141 @p129) :args (@t203 (@list false false false false false false false false false false false false false false false false false) (@list @t201 @t200 @t6 @t80 @t92 @t95 @t110 @t109 @t108 @t106 @t105 @t104 @t103 @t102 @t101 @t100 @t99))) % 1.72/2.02 (step @p358 :rule bool-double-not-elim :args (@t204)) % 1.72/2.02 (step @p359 :rule refl :args (@t207)) % 1.72/2.02 (step @p360 :rule nary_cong :premises (@p359 @p348 @p358) :args ((or @t207 @t107 (not @t205)))) % 1.72/2.02 (step @p361 :rule cnf_equiv_pos2 :args (@t206)) % 1.72/2.02 (step @p362 :rule eq_resolve :premises (@p361 @p360)) % 1.72/2.02 (step @p363 :rule reordering :premises (@p362) :args ((or @t107 @t204 @t207))) % 1.72/2.02 (step @p364 :rule chain_m_resolution :premises (@p363 @p357 @p98) :args (@t204 @t130 (@list @t107 @t206))) % 1.72/2.02 (step @p365 :rule cnf_or_pos :args (@t208)) % 1.72/2.02 (step @p366 :rule reordering :premises (@p365) :args ((or @t159 @t202 @t209))) % 1.72/2.02 (step @p367 :rule chain_m_resolution :premises (@p366 @p56 @p153) :args (@t209 @t124 (@list @t81 @t101))) % 1.72/2.02 (assume-push @p386 @t204) % 1.72/2.02 (step @p369 :rule instantiate :premises (@p386) :args (@t134)) % 1.72/2.02 (step-pop @p387 :rule scope :premises (@p369)) % 1.72/2.02 (step @p370 :rule process_scope :premises (@p387) :args (@t208)) % 0.36/2.03 (step @p372 :rule implies_elim :premises (@p370)) % 0.36/2.03 (step @p373 false :rule chain_m_resolution :premises (@p372 @p367 @p364) :args (false @t130 (@list @t208 @t204))) % 0.36/2.03 ) % 0.36/2.03 % SZS output end Proof % 0.36/2.03 % cvc5 exiting %------------------------------------------------------------------------------