%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO891^16 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 09:13:42 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO891^16 : TPTP v9.2.1. Released v8.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 01:08:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.37/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-sort tptp.mworld 0) % 0.37/0.60 (declare-const tptp.mactual tptp.mworld) % 0.37/0.60 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.37/0.60 (declare-const tptp.eiw_di (-> $$unsorted tptp.mworld Bool)) % 0.37/0.60 (declare-const tptp.p (-> $$unsorted tptp.mworld Bool)) % 0.37/0.60 (declare-const tptp.qmltpeq (-> $$unsorted $$unsorted tptp.mworld Bool)) % 0.37/0.60 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.37/0.60 (define tptp.mnot () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.37/0.60 (define tptp.mand () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.60 (define tptp.mor () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.60 (define tptp.mimplies () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.60 (define tptp.mequiv () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.60 (define tptp.mbox () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.37/0.60 (define tptp.mdia () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (and (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.37/0.60 (define tptp.mforall_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.60 (define tptp.mexists_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.60 (define @t1 () (@var "W" tptp.mworld)) % 0.37/0.60 (define @t2 () (_ tptp.mrel @t1)) % 0.37/0.60 (define @t3 () (@list @t1)) % 0.37/0.60 (define @t4 () (@var "U" tptp.mworld)) % 0.37/0.60 (define @t5 () (@var "V" tptp.mworld)) % 0.37/0.60 (define @t6 () (_ @t2 @t5)) % 0.37/0.60 (define @t7 () (@var "X" $$unsorted)) % 0.37/0.60 (define @t8 () (_ tptp.eiw_di @t7)) % 0.37/0.60 (define @t9 () (_ @t8 @t1)) % 0.37/0.60 (define @t10 () (@list @t7)) % 0.37/0.60 (define @t11 () (_ @t8 @t5)) % 0.37/0.60 (define @t12 () (and @t9 @t6)) % 0.37/0.60 (define @t13 () (@list @t1 @t5 @t7)) % 0.37/0.60 (define @t14 () (forall @t13 (=> @t12 @t11))) % 0.37/0.60 (define @t15 () (@var "__flatten_var_0" tptp.mworld)) % 0.37/0.60 (define @t16 () (_ tptp.qmltpeq @t7)) % 0.37/0.60 (define @t17 () (@list @t7 @t15)) % 0.37/0.60 (define @t18 () (@var "Y" $$unsorted)) % 0.37/0.60 (define @t19 () (_ tptp.qmltpeq @t18)) % 0.37/0.60 (define @t20 () (_ @t16 @t18)) % 0.37/0.60 (define @t21 () (@list @t18 @t15)) % 0.37/0.60 (define @t22 () (@var "Z" $$unsorted)) % 0.37/0.60 (define @t23 () (@var "B" $$unsorted)) % 0.37/0.60 (define @t24 () (@var "A" $$unsorted)) % 0.37/0.60 (define @t25 () (_ tptp.p @t7)) % 0.37/0.60 (define @t26 () (lambda @t17 (_ @t25 @t15))) % 0.37/0.60 (define @t27 () (lambda @t17 (_ (_ tptp.mdia @t25) @t15))) % 0.37/0.60 (define @t28 () (lambda @t21 (_ @t20 @t15))) % 0.37/0.60 (define @t29 () (lambda @t17 (_ (_ tptp.mbox (_ tptp.mexists_di @t28)) @t15))) % 0.37/0.60 (define @t30 () (not (_ tptp.mlocal (_ (_ tptp.mimplies (_ tptp.mforall_di @t29)) (_ (_ tptp.mimplies (_ tptp.mexists_di @t27)) (_ tptp.mdia (_ tptp.mexists_di @t26))))))) % 0.37/0.60 (define @t31 () (@var "Phi" (-> tptp.mworld Bool))) % 0.37/0.60 (define @t32 () (lambda (@list @t31) (_ @t31 tptp.mactual))) % 0.37/0.60 (define @t33 () (@var "A" (-> tptp.mworld Bool))) % 0.37/0.60 (define @t34 () (_ @t33 @t1)) % 0.37/0.60 (define @t35 () (lambda (@list @t33 @t1) (not @t34))) % 0.37/0.60 (define @t36 () (@var "B" (-> tptp.mworld Bool))) % 0.37/0.60 (define @t37 () (_ @t36 @t1)) % 0.37/0.60 (define @t38 () (@list @t33 @t36 @t1)) % 0.37/0.60 (define @t39 () (lambda @t38 (and @t34 @t37))) % 0.37/0.60 (define @t40 () (lambda @t38 (or @t34 @t37))) % 0.37/0.60 (define @t41 () (lambda @t38 (=> @t34 @t37))) % 0.37/0.60 (define @t42 () (lambda @t38 (= @t34 @t37))) % 0.37/0.60 (define @t43 () (_ @t31 @t5)) % 0.37/0.60 (define @t44 () (@list @t5)) % 0.37/0.60 (define @t45 () (forall @t44 (=> @t6 @t43))) % 0.37/0.60 (define @t46 () (@list @t31 @t1)) % 0.37/0.60 (define @t47 () (lambda @t46 @t45)) % 0.37/0.60 (define @t48 () (and @t6 @t43)) % 0.37/0.60 (define @t49 () (exists @t44 @t48)) % 0.37/0.60 (define @t50 () (lambda @t46 @t49)) % 0.37/0.60 (define @t51 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 0.37/0.60 (define @t52 () (_ (_ @t51 @t7) @t1)) % 0.37/0.60 (define @t53 () (forall @t10 (=> @t9 @t52))) % 0.37/0.60 (define @t54 () (@list @t51 @t1)) % 0.37/0.60 (define @t55 () (lambda @t54 @t53)) % 0.37/0.60 (define @t56 () (and @t9 @t52)) % 0.37/0.60 (define @t57 () (exists @t10 @t56)) % 0.37/0.60 (define @t58 () (lambda @t54 @t57)) % 0.37/0.60 (define @t59 () (@var "BOUND_VARIABLE_8345" $$unsorted)) % 0.37/0.60 (define @t60 () (not (tptp.p @t59 @t5))) % 0.37/0.60 (define @t61 () (not (tptp.eiw_di @t59 @t5))) % 0.37/0.60 (define @t62 () (@list @t5 @t59)) % 0.37/0.60 (define @t63 () (@var "BOUND_VARIABLE_8297" tptp.mworld)) % 0.37/0.60 (define @t64 () (not (tptp.p @t7 @t63))) % 0.37/0.60 (define @t65 () (not (tptp.eiw_di @t7 tptp.mactual))) % 0.37/0.60 (define @t66 () (@list @t7 @t63)) % 0.37/0.60 (define @t67 () (forall @t66 (or @t65 (not (tptp.mrel tptp.mactual @t63)) @t64))) % 0.37/0.60 (define @t68 () (@var "BOUND_VARIABLE_8240" tptp.mworld)) % 0.37/0.60 (define @t69 () (@var "BOUND_VARIABLE_8181" $$unsorted)) % 0.37/0.60 (define @t70 () (@list @t69)) % 0.37/0.60 (define @t71 () (not (forall @t70 (or (not (tptp.eiw_di @t69 @t68)) (not (tptp.qmltpeq @t7 @t69 @t68)))))) % 0.37/0.60 (define @t72 () (@list @t7 @t68)) % 0.37/0.60 (define @t73 () (tptp.mrel @t1 @t5)) % 0.37/0.60 (define @t74 () (not @t73)) % 0.37/0.60 (define @t75 () (or @t74 @t61 @t60)) % 0.37/0.60 (define @t76 () (not (forall @t62 @t75))) % 0.37/0.60 (define @t77 () (not (tptp.mrel @t1 @t63))) % 0.37/0.60 (define @t78 () (tptp.eiw_di @t7 @t1)) % 0.37/0.60 (define @t79 () (not @t78)) % 0.37/0.60 (define @t80 () (or @t79 @t77 @t64)) % 0.37/0.60 (define @t81 () (not (forall @t66 @t80))) % 0.37/0.60 (define @t82 () (=> @t81 @t76)) % 0.37/0.60 (define @t83 () (not (tptp.mrel @t1 @t68))) % 0.37/0.60 (define @t84 () (or @t79 @t83 @t71)) % 0.37/0.60 (define @t85 () (forall @t72 @t84)) % 0.37/0.60 (define @t86 () (lambda @t3 (=> @t85 @t82))) % 0.37/0.60 (define @t87 () (_ @t86 tptp.mactual)) % 0.37/0.60 (define @t88 () (lambda @t3 @t82)) % 0.37/0.60 (define @t89 () (_ @t88 @t1)) % 0.37/0.60 (define @t90 () (=> @t85 @t89)) % 0.37/0.60 (define @t91 () (lambda @t3 @t90)) % 0.37/0.60 (define @t92 () (@list @t36 @t1)) % 0.37/0.60 (define @t93 () (lambda @t3 @t76)) % 0.37/0.60 (define @t94 () (_ @t93 @t1)) % 0.37/0.60 (define @t95 () (=> @t81 @t94)) % 0.37/0.60 (define @t96 () (lambda @t3 @t95)) % 0.37/0.60 (define @t97 () (or @t61 @t60)) % 0.37/0.60 (define @t98 () (or @t74 @t97)) % 0.37/0.60 (define @t99 () (forall @t62 @t98)) % 0.37/0.60 (define @t100 () (@list @t59)) % 0.37/0.60 (define @t101 () (forall @t100 @t98)) % 0.37/0.60 (define @t102 () (forall @t100 @t97)) % 0.37/0.60 (define @t103 () (@list @t7)) % 0.37/0.60 (define @t104 () (or @t74 @t102)) % 0.37/0.60 (define @t105 () (tptp.p @t7 @t5)) % 0.37/0.60 (define @t106 () (not @t105)) % 0.37/0.60 (define @t107 () (tptp.eiw_di @t7 @t5)) % 0.37/0.60 (define @t108 () (forall @t10 (or (not @t107) @t106))) % 0.37/0.60 (define @t109 () (tptp.p @t7 @t1)) % 0.37/0.60 (define @t110 () (lambda @t3 (not (forall @t10 (or @t79 (not @t109)))))) % 0.37/0.60 (define @t111 () (_ @t110 @t5)) % 0.37/0.60 (define @t112 () (not @t111)) % 0.37/0.60 (define @t113 () (or @t74 @t112)) % 0.37/0.60 (define @t114 () (forall @t44 @t113)) % 0.37/0.60 (define @t115 () (not @t114)) % 0.37/0.60 (define @t116 () (lambda @t3 @t115)) % 0.37/0.60 (define @t117 () (_ @t31 @t5)) % 0.37/0.60 (define @t118 () (lambda @t46 (not (forall @t44 (or @t74 (not @t117)))))) % 0.37/0.60 (define @t119 () (_ @t25 @t1)) % 0.37/0.60 (define @t120 () (not @t119)) % 0.37/0.60 (define @t121 () (or @t79 @t120)) % 0.37/0.60 (define @t122 () (_ @t26 @t7 @t1)) % 0.37/0.60 (define @t123 () (not @t122)) % 0.37/0.60 (define @t124 () (or @t79 @t123)) % 0.37/0.60 (define @t125 () (forall @t10 @t124)) % 0.37/0.60 (define @t126 () (not @t125)) % 0.37/0.60 (define @t127 () (lambda @t3 @t126)) % 0.37/0.60 (define @t128 () (_ @t51 @t7 @t1)) % 0.37/0.60 (define @t129 () (forall @t10 (or @t79 (not @t128)))) % 0.37/0.60 (define @t130 () (not @t129)) % 0.37/0.60 (define @t131 () (lambda @t54 @t130)) % 0.37/0.60 (define @t132 () (_ @t131 @t26)) % 0.37/0.60 (define @t133 () (lambda @t3 @t81)) % 0.37/0.60 (define @t134 () (_ @t133 @t1)) % 0.37/0.60 (define @t135 () (=> @t134 @t37)) % 0.37/0.60 (define @t136 () (lambda @t92 @t135)) % 0.37/0.60 (define @t137 () (or @t77 @t64)) % 0.37/0.60 (define @t138 () (or @t79 @t137)) % 0.37/0.60 (define @t139 () (forall @t66 @t138)) % 0.37/0.60 (define @t140 () (@list @t63)) % 0.37/0.60 (define @t141 () (forall @t140 @t138)) % 0.37/0.60 (define @t142 () (forall @t140 @t137)) % 0.37/0.60 (define @t143 () (@list @t5)) % 0.37/0.60 (define @t144 () (or @t79 @t142)) % 0.37/0.60 (define @t145 () (forall @t44 (or @t74 @t106))) % 0.37/0.60 (define @t146 () (not @t145)) % 0.37/0.60 (define @t147 () (not (tptp.mrel @t15 @t5))) % 0.37/0.60 (define @t148 () (not (forall @t44 (or @t147 @t106)))) % 0.37/0.60 (define @t149 () (lambda @t17 @t148)) % 0.37/0.60 (define @t150 () (_ @t149 @t7 @t1)) % 0.37/0.60 (define @t151 () (not @t150)) % 0.37/0.60 (define @t152 () (or @t79 @t151)) % 0.37/0.60 (define @t153 () (forall @t10 @t152)) % 0.37/0.60 (define @t154 () (not @t153)) % 0.37/0.60 (define @t155 () (lambda @t3 @t154)) % 0.37/0.60 (define @t156 () (_ @t25 @t5)) % 0.37/0.60 (define @t157 () (not @t156)) % 0.37/0.60 (define @t158 () (or @t74 @t157)) % 0.37/0.60 (define @t159 () (_ @t25 @t5)) % 0.37/0.60 (define @t160 () (not @t159)) % 0.37/0.60 (define @t161 () (or @t74 @t160)) % 0.37/0.60 (define @t162 () (forall @t44 @t161)) % 0.37/0.60 (define @t163 () (not @t162)) % 0.37/0.60 (define @t164 () (lambda @t3 @t163)) % 0.37/0.60 (define @t165 () (_ @t118 @t25)) % 0.37/0.60 (define @t166 () (lambda @t17 (_ @t165 @t15))) % 0.37/0.60 (define @t167 () (lambda @t3 @t85)) % 0.37/0.60 (define @t168 () (_ @t167 @t1)) % 0.37/0.60 (define @t169 () (=> @t168 @t37)) % 0.37/0.60 (define @t170 () (lambda @t92 @t169)) % 0.37/0.60 (define @t171 () (or @t83 @t71)) % 0.37/0.60 (define @t172 () (or @t79 @t171)) % 0.37/0.60 (define @t173 () (forall @t72 @t172)) % 0.37/0.60 (define @t174 () (@list @t68)) % 0.37/0.60 (define @t175 () (forall @t174 @t172)) % 0.37/0.60 (define @t176 () (forall @t174 @t171)) % 0.37/0.60 (define @t177 () (or @t79 @t176)) % 0.37/0.60 (define @t178 () (not (forall @t70 (or (not (tptp.eiw_di @t69 @t5)) (not (tptp.qmltpeq @t7 @t69 @t5)))))) % 0.37/0.60 (define @t179 () (forall @t44 (or @t74 @t178))) % 0.37/0.60 (define @t180 () (forall @t44 (or @t147 @t178))) % 0.37/0.60 (define @t181 () (lambda @t17 @t180)) % 0.37/0.60 (define @t182 () (_ @t181 @t7 @t1)) % 0.37/0.60 (define @t183 () (or @t79 @t182)) % 0.37/0.60 (define @t184 () (forall @t10 @t183)) % 0.37/0.60 (define @t185 () (lambda @t3 @t184)) % 0.37/0.60 (define @t186 () (lambda @t54 (forall @t10 (or @t79 @t128)))) % 0.37/0.60 (define @t187 () (tptp.qmltpeq @t7 @t69 @t1)) % 0.37/0.60 (define @t188 () (not (tptp.eiw_di @t69 @t1))) % 0.37/0.60 (define @t189 () (lambda @t3 (not (forall @t70 (or @t188 (not @t187)))))) % 0.37/0.60 (define @t190 () (_ @t189 @t5)) % 0.37/0.60 (define @t191 () (or @t74 @t190)) % 0.37/0.60 (define @t192 () (forall @t44 @t191)) % 0.37/0.60 (define @t193 () (lambda @t3 @t192)) % 0.37/0.60 (define @t194 () (lambda @t46 (forall @t44 (or @t74 @t117)))) % 0.37/0.60 (define @t195 () (_ (_ @t16 @t69) @t1)) % 0.37/0.60 (define @t196 () (not @t195)) % 0.37/0.60 (define @t197 () (or @t188 @t196)) % 0.37/0.60 (define @t198 () (_ @t28 @t69 @t1)) % 0.37/0.60 (define @t199 () (not @t198)) % 0.37/0.60 (define @t200 () (or @t188 @t199)) % 0.37/0.60 (define @t201 () (forall @t70 @t200)) % 0.37/0.60 (define @t202 () (not @t201)) % 0.37/0.60 (define @t203 () (lambda @t3 @t202)) % 0.37/0.60 (define @t204 () (lambda @t17 (_ (_ @t194 (_ @t131 @t28)) @t15))) % 0.37/0.60 (define @t205 () (not @t52)) % 0.37/0.60 (define @t206 () (not @t9)) % 0.37/0.60 (define @t207 () (or @t206 @t205)) % 0.37/0.60 (define @t208 () (forall @t10 (not @t56))) % 0.37/0.60 (define @t209 () (not @t208)) % 0.37/0.60 (define @t210 () (not @t43)) % 0.37/0.60 (define @t211 () (not @t6)) % 0.37/0.60 (define @t212 () (or @t211 @t210)) % 0.37/0.60 (define @t213 () (forall @t44 (not @t48))) % 0.37/0.60 (define @t214 () (not @t213)) % 0.37/0.60 (define @t215 () (or @t211 @t43)) % 0.37/0.60 (define @t216 () (or @t206 @t52)) % 0.37/0.60 (define @t217 () (@quantifiers_skolemize @t67 1)) % 0.37/0.60 (define @t218 () (tptp.mrel tptp.mactual @t217)) % 0.37/0.60 (define @t219 () (@quantifiers_skolemize @t67 0)) % 0.37/0.60 (define @t220 () (tptp.p @t219 @t217)) % 0.37/0.60 (define @t221 () (not @t220)) % 0.37/0.60 (define @t222 () (not @t218)) % 0.37/0.60 (define @t223 () (tptp.eiw_di @t219 tptp.mactual)) % 0.37/0.60 (define @t224 () (not @t223)) % 0.37/0.60 (define @t225 () (or @t224 @t222 @t221)) % 0.37/0.60 (define @t226 () (@list true)) % 0.37/0.60 (define @t227 () (@list @t225)) % 0.37/0.60 (define @t228 () (or @t206 @t211 @t11)) % 0.37/0.60 (define @t229 () (tptp.eiw_di @t219 @t217)) % 0.37/0.60 (define @t230 () (or @t224 @t222 @t229)) % 0.37/0.60 (define @t231 () (not @t229)) % 0.37/0.60 (define @t232 () (or @t222 @t231 @t221)) % 0.37/0.60 (assume @p1 (forall @t3 (_ @t2 @t1))) % 0.37/0.60 (assume @p2 (forall (@list @t1 @t5 @t4) (=> (and @t6 (_ (_ tptp.mrel @t5) @t4)) (_ @t2 @t4)))) % 0.37/0.60 (assume @p3 (forall @t3 (exists @t10 @t9))) % 0.37/0.60 (assume @p4 @t14) % 0.37/0.60 (assume @p5 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t17 (_ (_ @t16 @t7) @t15))))) % 0.37/0.60 (assume @p6 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ (_ tptp.mimplies @t20) (_ @t19 @t7)) @t15))) @t15))))) % 0.37/0.60 (assume @p7 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mforall_di (lambda (@list @t22 @t15) (_ (_ (_ tptp.mimplies (_ (_ tptp.mand @t20) (_ @t19 @t22))) (_ @t16 @t22)) @t15))) @t15))) @t15))))) % 0.37/0.60 (assume @p8 (_ tptp.mlocal (_ tptp.mforall_di (lambda (@list @t24 @t15) (_ (_ tptp.mforall_di (lambda (@list @t23 @t15) (_ (_ (_ tptp.mimplies (_ (_ tptp.mand (_ (_ tptp.qmltpeq @t24) @t23)) (_ tptp.p @t24))) (_ tptp.p @t23)) @t15))) @t15))))) % 0.37/0.60 (assume @p9 @t30) % 0.37/0.60 (assume @p10 true) % 0.37/0.60 (step @p11 (= tptp.mlocal @t32) :rule refl :args (@t32)) % 0.37/0.60 (step @p12 (= tptp.mnot @t35) :rule refl :args (@t35)) % 0.37/0.60 (step @p13 (= tptp.mand @t39) :rule refl :args (@t39)) % 0.37/0.60 (step @p14 (= tptp.mor @t40) :rule refl :args (@t40)) % 0.37/0.60 (step @p15 (= tptp.mimplies @t41) :rule refl :args (@t41)) % 0.37/0.60 (step @p16 (= tptp.mequiv @t42) :rule refl :args (@t42)) % 0.37/0.60 (step @p17 (= tptp.mbox @t47) :rule refl :args (@t47)) % 0.37/0.60 (step @p18 (= tptp.mdia @t50) :rule refl :args (@t50)) % 0.37/0.60 (step @p19 (= tptp.mforall_di @t55) :rule refl :args (@t55)) % 0.37/0.60 (step @p20 (= tptp.mexists_di @t58) :rule refl :args (@t58)) % 0.37/0.60 (step @p21 :rule beta-reduce :args ((= @t87 (=> (forall @t72 (or @t65 (not (tptp.mrel tptp.mactual @t68)) @t71)) (=> (not @t67) (not (forall @t62 (or (not (tptp.mrel tptp.mactual @t5)) @t61 @t60)))))))) % 0.37/0.60 (step @p22 :rule beta-reduce :args ((= (_ @t32 @t86) @t87))) % 0.37/0.60 (step @p23 :rule trans :premises (@p22 @p21)) % 0.37/0.60 (step @p24 :rule beta-reduce :args ((= @t89 @t82))) % 0.37/0.60 (step @p25 :rule refl :args (@t85)) % 0.37/0.60 (step @p26 :rule cong :premises (@p25 @p24) :args (@t90)) % 0.37/0.60 (step @p27 :rule cong :premises (@p26) :args (@t91)) % 0.37/0.60 (step @p28 :rule beta-reduce :args ((= (_ (lambda @t92 (=> @t85 @t37)) @t88) @t91))) % 0.37/0.60 (step @p29 :rule trans :premises (@p28 @p27)) % 0.37/0.60 (step @p30 :rule beta-reduce :args ((= @t94 @t76))) % 0.37/0.61 (step @p31 :rule refl :args (@t81)) % 0.37/0.61 (step @p32 :rule cong :premises (@p31 @p30) :args (@t95)) % 0.37/0.61 (step @p33 :rule cong :premises (@p32) :args (@t96)) % 0.37/0.61 (step @p34 :rule beta-reduce :args ((= (_ (lambda @t92 (=> @t81 @t37)) @t93) @t96))) % 0.37/0.61 (step @p35 :rule trans :premises (@p34 @p33)) % 0.37/0.61 (step @p36 :rule aci_norm :args ((= @t98 @t75))) % 0.37/0.61 (step @p37 :rule cong :premises (@p36) :args (@t99)) % 0.37/0.61 (step @p38 :rule quant-merge-prenex :args ((= (forall @t44 @t101) @t99))) % 0.37/0.61 (step @p39 :rule alpha_equiv :args (@t102 (@list @t59) @t103)) % 0.37/0.61 (step @p40 :rule refl :args (@t74)) % 0.37/0.61 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t104)) % 0.37/0.61 (step @p42 :rule quant-miniscope-or :args ((= @t101 @t104))) % 0.37/0.61 (step @p43 :rule trans :premises (@p42 @p41)) % 0.37/0.61 (step @p44 :rule symm :premises (@p43)) % 0.37/0.61 (step @p45 :rule cong :premises (@p44) :args ((forall @t44 (or @t74 @t108)))) % 0.37/0.61 (step @p46 :rule trans :premises (@p45 @p38)) % 0.37/0.61 (step @p47 :rule trans :premises (@p46 @p37)) % 0.37/0.61 (step @p48 :rule bool-double-not-elim :args (@t108)) % 0.37/0.61 (step @p49 :rule beta-reduce :args ((= @t111 (not @t108)))) % 0.37/0.61 (step @p50 :rule cong :premises (@p49) :args (@t112)) % 0.37/0.61 (step @p51 :rule trans :premises (@p50 @p48)) % 0.37/0.61 (step @p52 :rule refl :args (@t74)) % 0.37/0.61 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t113)) % 0.37/0.61 (step @p54 :rule cong :premises (@p53) :args (@t114)) % 0.37/0.61 (step @p55 :rule trans :premises (@p54 @p47)) % 0.37/0.61 (step @p56 :rule cong :premises (@p55) :args (@t115)) % 0.37/0.61 (step @p57 :rule cong :premises (@p56) :args (@t116)) % 0.37/0.61 (step @p58 :rule beta-reduce :args ((= (_ @t118 @t110) @t116))) % 0.37/0.61 (step @p59 :rule trans :premises (@p58 @p57)) % 0.37/0.61 (step @p60 :rule refl :args (@t109)) % 0.37/0.61 (step @p61 :rule refl :args (@t119)) % 0.37/0.61 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t119 @t109))) % 0.37/0.61 (step @p63 :rule symm :premises (@p62)) % 0.37/0.61 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.37/0.61 (step @p65 :rule cong :premises (@p64) :args (@t120)) % 0.37/0.61 (step @p66 :rule refl :args (@t79)) % 0.37/0.61 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t121)) % 0.37/0.61 (step @p68 :rule cong :premises (@p67) :args ((forall @t10 @t121))) % 0.37/0.61 (step @p69 :rule beta-reduce :args ((= @t122 @t119))) % 0.37/0.61 (step @p70 :rule cong :premises (@p69) :args (@t123)) % 0.37/0.61 (step @p71 :rule refl :args (@t79)) % 0.37/0.61 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t124)) % 0.37/0.61 (step @p73 :rule cong :premises (@p72) :args (@t125)) % 0.37/0.61 (step @p74 :rule trans :premises (@p73 @p68)) % 0.37/0.61 (step @p75 :rule cong :premises (@p74) :args (@t126)) % 0.37/0.61 (step @p76 :rule cong :premises (@p75) :args (@t127)) % 0.37/0.61 (step @p77 :rule beta-reduce :args ((= @t132 @t127))) % 0.37/0.61 (step @p78 :rule trans :premises (@p77 @p76)) % 0.37/0.61 (step @p79 :rule refl :args (@t118)) % 0.37/0.61 (step @p80 :rule ho_cong :premises (@p79 @p78)) % 0.37/0.61 (step @p81 :rule trans :premises (@p80 @p59)) % 0.37/0.61 (step @p82 :rule refl :args (@t37)) % 0.37/0.61 (step @p83 :rule beta-reduce :args ((= @t134 @t81))) % 0.37/0.61 (step @p84 :rule cong :premises (@p83 @p82) :args (@t135)) % 0.37/0.61 (step @p85 :rule cong :premises (@p84) :args (@t136)) % 0.37/0.61 (step @p86 :rule beta-reduce :args ((= (_ @t41 @t133) @t136))) % 0.37/0.61 (step @p87 :rule trans :premises (@p86 @p85)) % 0.37/0.61 (step @p88 :rule aci_norm :args ((= @t138 @t80))) % 0.37/0.61 (step @p89 :rule cong :premises (@p88) :args (@t139)) % 0.37/0.61 (step @p90 :rule quant-merge-prenex :args ((= (forall @t10 @t141) @t139))) % 0.37/0.61 (step @p91 :rule alpha_equiv :args (@t142 (@list @t63) @t143)) % 0.37/0.61 (step @p92 :rule nary_cong :premises (@p66 @p91) :args (@t144)) % 0.37/0.61 (step @p93 :rule quant-miniscope-or :args ((= @t141 @t144))) % 0.37/0.61 (step @p94 :rule trans :premises (@p93 @p92)) % 0.37/0.61 (step @p95 :rule symm :premises (@p94)) % 0.37/0.61 (step @p96 :rule cong :premises (@p95) :args ((forall @t10 (or @t79 @t145)))) % 0.37/0.61 (step @p97 :rule trans :premises (@p96 @p90)) % 0.37/0.61 (step @p98 :rule trans :premises (@p97 @p89)) % 0.37/0.61 (step @p99 :rule bool-double-not-elim :args (@t145)) % 0.37/0.61 (step @p100 :rule beta-reduce :args ((= @t150 @t146))) % 0.37/0.61 (step @p101 :rule cong :premises (@p100) :args (@t151)) % 0.37/0.61 (step @p102 :rule trans :premises (@p101 @p99)) % 0.37/0.61 (step @p103 :rule nary_cong :premises (@p71 @p102) :args (@t152)) % 0.37/0.61 (step @p104 :rule cong :premises (@p103) :args (@t153)) % 0.37/0.61 (step @p105 :rule trans :premises (@p104 @p98)) % 0.37/0.61 (step @p106 :rule cong :premises (@p105) :args (@t154)) % 0.37/0.61 (step @p107 :rule cong :premises (@p106) :args (@t155)) % 0.37/0.61 (step @p108 :rule beta-reduce :args ((= (_ @t131 @t149) @t155))) % 0.37/0.61 (step @p109 :rule trans :premises (@p108 @p107)) % 0.37/0.61 (step @p110 :rule beta-reduce :args ((= (_ (lambda @t3 @t146) @t15) @t148))) % 0.37/0.61 (step @p111 :rule refl :args (@t15)) % 0.37/0.61 (step @p112 :rule refl :args (@t105)) % 0.37/0.61 (step @p113 :rule refl :args (@t156)) % 0.37/0.61 (step @p114 :rule cong :premises (@p113 @p112) :args ((= @t156 @t105))) % 0.37/0.61 (step @p115 :rule symm :premises (@p114)) % 0.37/0.61 (step @p116 :rule eq_resolve :premises (@p113 @p115)) % 0.37/0.61 (step @p117 :rule cong :premises (@p116) :args (@t157)) % 0.37/0.61 (step @p118 :rule nary_cong :premises (@p40 @p117) :args (@t158)) % 0.37/0.61 (step @p119 :rule cong :premises (@p118) :args ((forall @t44 @t158))) % 0.37/0.61 (step @p120 :rule refl :args (@t159)) % 0.37/0.61 (step @p121 :rule cong :premises (@p120) :args (@t160)) % 0.37/0.61 (step @p122 :rule nary_cong :premises (@p52 @p121) :args (@t161)) % 0.37/0.61 (step @p123 :rule cong :premises (@p122) :args (@t162)) % 0.37/0.61 (step @p124 :rule trans :premises (@p123 @p119)) % 0.37/0.61 (step @p125 :rule cong :premises (@p124) :args (@t163)) % 0.37/0.61 (step @p126 :rule cong :premises (@p125) :args (@t164)) % 0.37/0.61 (step @p127 :rule beta-reduce :args ((= @t165 @t164))) % 0.37/0.61 (step @p128 :rule trans :premises (@p127 @p126)) % 0.37/0.61 (step @p129 :rule ho_cong :premises (@p128 @p111)) % 0.37/0.61 (step @p130 :rule trans :premises (@p129 @p110)) % 0.37/0.61 (step @p131 :rule cong :premises (@p130) :args (@t166)) % 0.37/0.61 (step @p132 :rule refl :args (@t131)) % 0.37/0.61 (step @p133 :rule ho_cong :premises (@p132 @p131)) % 0.37/0.61 (step @p134 :rule trans :premises (@p133 @p109)) % 0.37/0.61 (step @p135 :rule refl :args (@t41)) % 0.37/0.61 (step @p136 :rule ho_cong :premises (@p135 @p134)) % 0.37/0.61 (step @p137 :rule trans :premises (@p136 @p87)) % 0.37/0.61 (step @p138 :rule ho_cong :premises (@p137 @p81)) % 0.37/0.61 (step @p139 :rule trans :premises (@p138 @p35)) % 0.37/0.61 (step @p140 :rule beta-reduce :args ((= @t168 @t85))) % 0.37/0.61 (step @p141 :rule cong :premises (@p140 @p82) :args (@t169)) % 0.37/0.61 (step @p142 :rule cong :premises (@p141) :args (@t170)) % 0.37/0.61 (step @p143 :rule beta-reduce :args ((= (_ @t41 @t167) @t170))) % 0.37/0.61 (step @p144 :rule trans :premises (@p143 @p142)) % 0.37/0.61 (step @p145 :rule aci_norm :args ((= @t172 @t84))) % 0.37/0.61 (step @p146 :rule cong :premises (@p145) :args (@t173)) % 0.37/0.61 (step @p147 :rule quant-merge-prenex :args ((= (forall @t10 @t175) @t173))) % 0.37/0.61 (step @p148 :rule alpha_equiv :args (@t176 (@list @t68) @t143)) % 0.37/0.61 (step @p149 :rule nary_cong :premises (@p66 @p148) :args (@t177)) % 0.37/0.61 (step @p150 :rule quant-miniscope-or :args ((= @t175 @t177))) % 0.37/0.61 (step @p151 :rule trans :premises (@p150 @p149)) % 0.37/0.61 (step @p152 :rule symm :premises (@p151)) % 0.37/0.61 (step @p153 :rule cong :premises (@p152) :args ((forall @t10 (or @t79 @t179)))) % 0.37/0.61 (step @p154 :rule trans :premises (@p153 @p147)) % 0.37/0.61 (step @p155 :rule trans :premises (@p154 @p146)) % 0.37/0.61 (step @p156 :rule beta-reduce :args ((= @t182 @t179))) % 0.37/0.61 (step @p157 :rule nary_cong :premises (@p71 @p156) :args (@t183)) % 0.37/0.61 (step @p158 :rule cong :premises (@p157) :args (@t184)) % 0.37/0.61 (step @p159 :rule trans :premises (@p158 @p155)) % 0.37/0.61 (step @p160 :rule cong :premises (@p159) :args (@t185)) % 0.37/0.61 (step @p161 :rule beta-reduce :args ((= (_ @t186 @t181) @t185))) % 0.37/0.61 (step @p162 :rule trans :premises (@p161 @p160)) % 0.37/0.61 (step @p163 :rule beta-reduce :args ((= (_ (lambda @t3 @t179) @t15) @t180))) % 0.37/0.61 (step @p164 :rule beta-reduce :args ((= @t190 @t178))) % 0.37/0.61 (step @p165 :rule nary_cong :premises (@p52 @p164) :args (@t191)) % 0.37/0.61 (step @p166 :rule cong :premises (@p165) :args (@t192)) % 0.37/0.61 (step @p167 :rule cong :premises (@p166) :args (@t193)) % 0.37/0.61 (step @p168 :rule beta-reduce :args ((= (_ @t194 @t189) @t193))) % 0.37/0.61 (step @p169 :rule trans :premises (@p168 @p167)) % 0.37/0.61 (step @p170 :rule refl :args (@t187)) % 0.37/0.61 (step @p171 :rule refl :args (@t195)) % 0.37/0.61 (step @p172 :rule cong :premises (@p171 @p170) :args ((= @t195 @t187))) % 0.37/0.61 (step @p173 :rule symm :premises (@p172)) % 0.37/0.61 (step @p174 :rule eq_resolve :premises (@p171 @p173)) % 0.37/0.61 (step @p175 :rule cong :premises (@p174) :args (@t196)) % 0.37/0.61 (step @p176 :rule refl :args (@t188)) % 0.37/0.61 (step @p177 :rule nary_cong :premises (@p176 @p175) :args (@t197)) % 0.37/0.61 (step @p178 :rule cong :premises (@p177) :args ((forall @t70 @t197))) % 0.37/0.61 (step @p179 :rule beta-reduce :args ((= @t198 @t195))) % 0.37/0.61 (step @p180 :rule cong :premises (@p179) :args (@t199)) % 0.37/0.61 (step @p181 :rule refl :args (@t188)) % 0.37/0.61 (step @p182 :rule nary_cong :premises (@p181 @p180) :args (@t200)) % 0.37/0.61 (step @p183 :rule cong :premises (@p182) :args (@t201)) % 0.37/0.61 (step @p184 :rule trans :premises (@p183 @p178)) % 0.37/0.61 (step @p185 :rule cong :premises (@p184) :args (@t202)) % 0.37/0.61 (step @p186 :rule cong :premises (@p185) :args (@t203)) % 0.37/0.61 (step @p187 :rule beta-reduce :args ((= (_ (lambda @t54 (not (forall @t70 (or @t188 (not (_ @t51 @t69 @t1)))))) @t28) @t203))) % 0.37/0.61 (step @p188 :rule trans :premises (@p187 @p186)) % 0.37/0.61 (step @p189 :rule refl :args (@t28)) % 0.37/0.61 (step @p190 :rule alpha_equiv :args (@t129 @t103 (@list @t69))) % 0.37/0.61 (step @p191 :rule cong :premises (@p190) :args (@t130)) % 0.37/0.61 (step @p192 :rule cong :premises (@p191) :args (@t131)) % 0.37/0.61 (step @p193 :rule ho_cong :premises (@p192 @p189)) % 0.37/0.61 (step @p194 :rule trans :premises (@p193 @p188)) % 0.37/0.61 (step @p195 :rule refl :args (@t194)) % 0.37/0.61 (step @p196 :rule ho_cong :premises (@p195 @p194)) % 0.37/0.61 (step @p197 :rule trans :premises (@p196 @p169)) % 0.37/0.61 (step @p198 :rule ho_cong :premises (@p197 @p111)) % 0.37/0.61 (step @p199 :rule trans :premises (@p198 @p163)) % 0.37/0.61 (step @p200 :rule cong :premises (@p199) :args (@t204)) % 0.37/0.61 (step @p201 :rule refl :args (@t186)) % 0.37/0.61 (step @p202 :rule ho_cong :premises (@p201 @p200)) % 0.37/0.61 (step @p203 :rule trans :premises (@p202 @p162)) % 0.37/0.61 (step @p204 :rule ho_cong :premises (@p135 @p203)) % 0.37/0.61 (step @p205 :rule trans :premises (@p204 @p144)) % 0.37/0.61 (step @p206 :rule ho_cong :premises (@p205 @p139)) % 0.37/0.61 (step @p207 :rule trans :premises (@p206 @p29)) % 0.37/0.61 (step @p208 :rule refl :args (@t32)) % 0.37/0.61 (step @p209 :rule ho_cong :premises (@p208 @p207)) % 0.37/0.61 (step @p210 :rule trans :premises (@p209 @p23)) % 0.37/0.61 (step @p211 :rule cong :premises (@p210) :args ((not (_ @t32 (_ (_ @t41 (_ @t186 @t204)) (_ (_ @t41 (_ @t131 @t166)) (_ @t118 @t132))))))) % 0.37/0.61 (step @p212 :rule refl :args (@t26)) % 0.37/0.61 (step @p213 :rule refl :args (@t128)) % 0.37/0.61 (step @p214 :rule refl :args (@t52)) % 0.37/0.61 (step @p215 :rule cong :premises (@p214 @p213) :args ((= @t52 @t128))) % 0.37/0.61 (step @p216 :rule symm :premises (@p215)) % 0.37/0.61 (step @p217 :rule eq_resolve :premises (@p214 @p216)) % 0.37/0.61 (step @p218 :rule cong :premises (@p217) :args (@t205)) % 0.37/0.61 (step @p219 :rule refl :args (@t78)) % 0.37/0.61 (step @p220 :rule refl :args (@t9)) % 0.37/0.61 (step @p221 :rule cong :premises (@p220 @p219) :args ((= @t9 @t78))) % 0.37/0.61 (step @p222 :rule symm :premises (@p221)) % 0.37/0.61 (step @p223 :rule eq_resolve :premises (@p220 @p222)) % 0.37/0.61 (step @p224 :rule cong :premises (@p223) :args (@t206)) % 0.37/0.61 (step @p225 :rule nary_cong :premises (@p224 @p218) :args (@t207)) % 0.37/0.61 (step @p226 :rule cong :premises (@p225) :args ((forall @t10 @t207))) % 0.37/0.61 (step @p227 :rule bool-and-de-morgan :args (@t9 @t52 true)) % 0.37/0.61 (step @p228 :rule cong :premises (@p227) :args (@t208)) % 0.37/0.61 (step @p229 :rule trans :premises (@p228 @p226)) % 0.37/0.61 (step @p230 :rule cong :premises (@p229) :args (@t209)) % 0.37/0.61 (step @p231 :rule exists-elim :args ((= @t57 @t209))) % 0.37/0.61 (step @p232 :rule trans :premises (@p231 @p230)) % 0.37/0.61 (step @p233 :rule cong :premises (@p232) :args (@t58)) % 0.37/0.61 (step @p234 :rule trans :premises (@p20 @p233)) % 0.37/0.61 (step @p235 :rule ho_cong :premises (@p234 @p212)) % 0.37/0.61 (step @p236 :rule refl :args (@t117)) % 0.37/0.61 (step @p237 :rule refl :args (@t43)) % 0.37/0.61 (step @p238 :rule cong :premises (@p237 @p236) :args ((= @t43 @t117))) % 0.37/0.61 (step @p239 :rule symm :premises (@p238)) % 0.37/0.61 (step @p240 :rule eq_resolve :premises (@p237 @p239)) % 0.37/0.61 (step @p241 :rule cong :premises (@p240) :args (@t210)) % 0.37/0.61 (step @p242 :rule refl :args (@t73)) % 0.37/0.61 (step @p243 :rule refl :args (@t6)) % 0.37/0.61 (step @p244 :rule cong :premises (@p243 @p242) :args ((= @t6 @t73))) % 0.37/0.61 (step @p245 :rule symm :premises (@p244)) % 0.37/0.61 (step @p246 :rule eq_resolve :premises (@p243 @p245)) % 0.37/0.61 (step @p247 :rule cong :premises (@p246) :args (@t211)) % 0.37/0.61 (step @p248 :rule nary_cong :premises (@p247 @p241) :args (@t212)) % 0.37/0.61 (step @p249 :rule cong :premises (@p248) :args ((forall @t44 @t212))) % 0.37/0.61 (step @p250 :rule bool-and-de-morgan :args (@t6 @t43 true)) % 0.37/0.61 (step @p251 :rule cong :premises (@p250) :args (@t213)) % 0.37/0.61 (step @p252 :rule trans :premises (@p251 @p249)) % 0.37/0.61 (step @p253 :rule cong :premises (@p252) :args (@t214)) % 0.37/0.61 (step @p254 :rule exists-elim :args ((= @t49 @t214))) % 0.37/0.61 (step @p255 :rule trans :premises (@p254 @p253)) % 0.37/0.61 (step @p256 :rule cong :premises (@p255) :args (@t50)) % 0.37/0.61 (step @p257 :rule trans :premises (@p18 @p256)) % 0.37/0.61 (step @p258 :rule ho_cong :premises (@p257 @p235)) % 0.37/0.61 (step @p259 :rule refl :args (@t25)) % 0.37/0.61 (step @p260 :rule ho_cong :premises (@p257 @p259)) % 0.37/0.61 (step @p261 :rule ho_cong :premises (@p260 @p111)) % 0.37/0.61 (step @p262 :rule cong :premises (@p261) :args (@t27)) % 0.37/0.61 (step @p263 :rule ho_cong :premises (@p234 @p262)) % 0.37/0.61 (step @p264 :rule ho_cong :premises (@p15 @p263)) % 0.37/0.61 (step @p265 :rule ho_cong :premises (@p264 @p258)) % 0.37/0.61 (step @p266 :rule refl :args (@t28)) % 0.37/0.61 (step @p267 :rule ho_cong :premises (@p234 @p266)) % 0.37/0.61 (step @p268 :rule nary_cong :premises (@p247 @p240) :args (@t215)) % 0.37/0.61 (step @p269 :rule cong :premises (@p268) :args ((forall @t44 @t215))) % 0.37/0.61 (step @p270 :rule bool-impl-elim :args (@t6 @t43)) % 0.37/0.61 (step @p271 :rule cong :premises (@p270) :args (@t45)) % 0.37/0.61 (step @p272 :rule trans :premises (@p271 @p269)) % 0.37/0.61 (step @p273 :rule cong :premises (@p272) :args (@t47)) % 0.37/0.61 (step @p274 :rule trans :premises (@p17 @p273)) % 0.37/0.61 (step @p275 :rule ho_cong :premises (@p274 @p267)) % 0.37/0.61 (step @p276 :rule ho_cong :premises (@p275 @p111)) % 0.37/0.61 (step @p277 :rule cong :premises (@p276) :args (@t29)) % 0.37/0.61 (step @p278 :rule nary_cong :premises (@p224 @p217) :args (@t216)) % 0.37/0.61 (step @p279 :rule cong :premises (@p278) :args ((forall @t10 @t216))) % 0.37/0.61 (step @p280 :rule bool-impl-elim :args (@t9 @t52)) % 0.37/0.61 (step @p281 :rule cong :premises (@p280) :args (@t53)) % 0.37/0.61 (step @p282 :rule trans :premises (@p281 @p279)) % 0.37/0.61 (step @p283 :rule cong :premises (@p282) :args (@t55)) % 0.37/0.61 (step @p284 :rule trans :premises (@p19 @p283)) % 0.37/0.61 (step @p285 :rule ho_cong :premises (@p284 @p277)) % 0.37/0.61 (step @p286 :rule ho_cong :premises (@p15 @p285)) % 0.37/0.61 (step @p287 :rule ho_cong :premises (@p286 @p265)) % 0.37/0.61 (step @p288 :rule ho_cong :premises (@p11 @p287)) % 0.37/0.61 (step @p289 :rule cong :premises (@p288) :args (@t30)) % 0.37/0.61 (step @p290 :rule trans :premises (@p289 @p211)) % 0.37/0.61 (step @p291 :rule eq_resolve :premises (@p9 @p290)) % 0.37/0.61 (step @p292 :rule not_implies_elim2 :premises (@p291)) % 0.37/0.61 (step @p293 :rule not_implies_elim1 :premises (@p292)) % 0.37/0.61 (step @p294 :rule skolemize :premises (@p293)) % 0.37/0.61 (step @p295 :rule bool-double-not-elim :args (@t218)) % 0.37/0.61 (step @p296 :rule refl :args (@t225)) % 0.37/0.61 (step @p297 :rule nary_cong :premises (@p296 @p295) :args ((or @t225 (not @t222)))) % 0.37/0.61 (step @p298 :rule cnf_or_neg :args (@t225 1)) % 0.37/0.61 (step @p299 :rule eq_resolve :premises (@p298 @p297)) % 0.37/0.61 (step @p300 :rule reordering :premises (@p299) :args ((or @t218 @t225))) % 0.37/0.61 (step @p301 :rule chain_m_resolution :premises (@p300 @p294) :args (@t218 @t226 @t227)) % 0.37/0.61 (step @p302 :rule bool-double-not-elim :args (@t220)) % 0.37/0.61 (step @p303 :rule nary_cong :premises (@p296 @p302) :args ((or @t225 (not @t221)))) % 0.37/0.61 (step @p304 :rule cnf_or_neg :args (@t225 2)) % 0.37/0.61 (step @p305 :rule eq_resolve :premises (@p304 @p303)) % 0.37/0.61 (step @p306 :rule reordering :premises (@p305) :args ((or @t220 @t225))) % 0.37/0.61 (step @p307 :rule chain_m_resolution :premises (@p306 @p294) :args (@t220 @t226 @t227)) % 0.37/0.61 (step @p308 :rule not_implies_elim2 :premises (@p292)) % 0.37/0.61 (step @p309 :rule not_not_elim :premises (@p308)) % 0.37/0.61 (step @p310 :rule instantiate :premises (@p309) :args ((@list @t217 @t219))) % 0.37/0.61 (step @p311 :rule refl :args (@t107)) % 0.37/0.61 (step @p312 :rule refl :args (@t11)) % 0.37/0.61 (step @p313 :rule cong :premises (@p312 @p311) :args ((= @t11 @t107))) % 0.37/0.61 (step @p314 :rule symm :premises (@p313)) % 0.37/0.61 (step @p315 :rule eq_resolve :premises (@p312 @p314)) % 0.37/0.61 (step @p316 :rule nary_cong :premises (@p224 @p247 @p315) :args (@t228)) % 0.37/0.61 (step @p317 :rule cong :premises (@p316) :args ((forall @t13 @t228))) % 0.37/0.61 (step @p318 :rule aci_norm :args ((= (or (or @t206 @t211) @t11) @t228))) % 0.37/0.61 (step @p319 :rule bool-and-de-morgan :args (@t9 @t6 true)) % 0.37/0.61 (step @p320 :rule nary_cong :premises (@p319 @p312) :args ((or (not @t12) @t11))) % 0.37/0.61 (step @p321 :rule trans :premises (@p320 @p318)) % 0.37/0.61 (step @p322 :rule bool-impl-elim :args (@t12 @t11)) % 0.37/0.61 (step @p323 :rule trans :premises (@p322 @p321)) % 0.37/0.61 (step @p324 :rule cong :premises (@p323) :args (@t14)) % 0.37/0.61 (step @p325 :rule trans :premises (@p324 @p317)) % 0.37/0.61 (step @p326 :rule eq_resolve :premises (@p4 @p325)) % 0.37/0.61 (step @p327 :rule instantiate :premises (@p326) :args ((@list tptp.mactual @t217 @t219))) % 0.37/0.61 (step @p328 :rule bool-double-not-elim :args (@t223)) % 0.37/0.61 (step @p329 :rule nary_cong :premises (@p296 @p328) :args ((or @t225 (not @t224)))) % 0.37/0.61 (step @p330 :rule cnf_or_neg :args (@t225 0)) % 0.37/0.61 (step @p331 :rule eq_resolve :premises (@p330 @p329)) % 0.37/0.61 (step @p332 :rule reordering :premises (@p331) :args ((or @t223 @t225))) % 0.37/0.61 (step @p333 :rule chain_m_resolution :premises (@p332 @p294) :args (@t223 @t226 @t227)) % 0.37/0.61 (step @p334 :rule cnf_or_pos :args (@t230)) % 0.37/0.61 (step @p335 :rule reordering :premises (@p334) :args ((or @t224 @t222 @t229 (not @t230)))) % 0.37/0.61 (step @p336 :rule chain_m_resolution :premises (@p335 @p333 @p301 @p327) :args (@t229 (@list false false false) (@list @t223 @t218 @t230))) % 0.37/0.61 (step @p337 :rule cnf_or_pos :args (@t232)) % 0.37/0.61 (step @p338 :rule reordering :premises (@p337) :args ((or @t222 @t221 @t231 (not @t232)))) % 0.37/0.61 (step @p339 false :rule chain_m_resolution :premises (@p338 @p336 @p310 @p307 @p301) :args (false (@list false false false false) (@list @t229 @t232 @t220 @t218))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------