%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP265^17 : 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 : n007.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 08:37:17 AM UTC 2026 % Result : Theorem 0.19s 0.79s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.25 % Problem : NLP265^17 : TPTP v9.2.1. Released v8.1.0. % 0.11/0.26 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.53 % Computer : n007.cluster.edu % 0.15/0.53 % Model : x86_64 x86_64 % 0.15/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.53 % Memory : 8042.1875MB % 0.15/0.53 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.53 % CPULimit : 300 % 0.15/0.53 % WCLimit : 300 % 0.15/0.53 % DateTime : Tue Jun 2 10:16:12 EDT 2026 % 0.15/0.54 % CPUTime : % 0.19/0.69 %----Proving TH0 % 0.19/0.79 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.19/0.79 % SZS status Theorem % 0.19/0.79 % SZS output start Proof % 0.19/0.79 ( % 0.19/0.79 (declare-sort $$unsorted 0) % 0.19/0.79 (declare-sort tptp.mworld 0) % 0.19/0.79 (declare-sort tptp.mindex 0) % 0.19/0.79 (declare-const tptp.mactual tptp.mworld) % 0.19/0.79 (declare-const tptp.mrel (-> tptp.mindex tptp.mworld tptp.mworld Bool)) % 0.19/0.79 (declare-const |tptp.'#b_bob'| tptp.mindex) % 0.19/0.79 (declare-const tptp.bigcity (-> $$unsorted tptp.mworld Bool)) % 0.19/0.79 (declare-const |tptp.'#b_alice'| tptp.mindex) % 0.19/0.79 (declare-const |tptp.'#i_bob'| tptp.mindex) % 0.19/0.79 (declare-const tptp.portland $$unsorted) % 0.19/0.79 (declare-const |tptp.'#i_alice'| tptp.mindex) % 0.19/0.79 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.19/0.79 (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)))))) % 0.19/0.79 (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))))))) % 0.19/0.79 (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))))))) % 0.19/0.79 (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))))))) % 0.19/0.79 (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))))))) % 0.19/0.79 (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))) (let ((_let_4 (@var "R" tptp.mindex))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ (_ tptp.mrel _let_4) _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.19/0.79 (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))) (let ((_let_4 (@var "R" tptp.mindex))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ (_ tptp.mrel _let_4) _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.19/0.79 (define @t1 () (@var "W" tptp.mworld)) % 0.19/0.79 (define @t2 () (_ tptp.mrel |tptp.'#i_alice'|)) % 0.19/0.79 (define @t3 () (_ @t2 @t1)) % 0.19/0.79 (define @t4 () (@list @t1)) % 0.19/0.79 (define @t5 () (@var "V" tptp.mworld)) % 0.19/0.79 (define @t6 () (@var "U" tptp.mworld)) % 0.19/0.79 (define @t7 () (@list @t1 @t5 @t6)) % 0.19/0.79 (define @t8 () (_ tptp.mrel |tptp.'#i_bob'|)) % 0.19/0.79 (define @t9 () (_ @t8 @t1)) % 0.19/0.79 (define @t10 () (_ tptp.mrel |tptp.'#b_alice'|)) % 0.19/0.79 (define @t11 () (_ @t10 @t1)) % 0.19/0.79 (define @t12 () (_ @t11 @t1)) % 0.19/0.79 (define @t13 () (forall @t4 @t12)) % 0.19/0.79 (define @t14 () (_ tptp.mrel |tptp.'#b_bob'|)) % 0.19/0.79 (define @t15 () (_ @t14 @t1)) % 0.19/0.79 (define @t16 () (_ tptp.bigcity tptp.portland)) % 0.19/0.79 (define @t17 () (_ tptp.mbox |tptp.'#b_bob'|)) % 0.19/0.79 (define @t18 () (_ (_ tptp.mbox |tptp.'#i_alice'|) (_ @t17 @t16))) % 0.19/0.79 (define @t19 () (_ tptp.mnot @t16)) % 0.19/0.79 (define @t20 () (_ tptp.mbox |tptp.'#b_alice'|)) % 0.19/0.79 (define @t21 () (_ @t20 (_ @t17 @t19))) % 0.19/0.79 (define @t22 () (_ tptp.mand @t16)) % 0.19/0.79 (define @t23 () (_ @t20 @t16)) % 0.19/0.79 (define @t24 () (not (_ tptp.mlocal @t18))) % 0.19/0.79 (define @t25 () (@var "Phi" (-> tptp.mworld Bool))) % 0.19/0.79 (define @t26 () (lambda (@list @t25) (_ @t25 tptp.mactual))) % 0.19/0.79 (define @t27 () (@var "A" (-> tptp.mworld Bool))) % 0.19/0.79 (define @t28 () (_ @t27 @t1)) % 0.19/0.79 (define @t29 () (lambda (@list @t27 @t1) (not @t28))) % 0.19/0.79 (define @t30 () (@var "B" (-> tptp.mworld Bool))) % 0.19/0.79 (define @t31 () (_ @t30 @t1)) % 0.19/0.79 (define @t32 () (@list @t27 @t30 @t1)) % 0.19/0.79 (define @t33 () (lambda @t32 (and @t28 @t31))) % 0.19/0.79 (define @t34 () (lambda @t32 (or @t28 @t31))) % 0.19/0.79 (define @t35 () (lambda @t32 (=> @t28 @t31))) % 0.19/0.79 (define @t36 () (lambda @t32 (= @t28 @t31))) % 0.19/0.79 (define @t37 () (_ @t25 @t5)) % 0.19/0.79 (define @t38 () (@var "R" tptp.mindex)) % 0.19/0.79 (define @t39 () (_ (_ (_ tptp.mrel @t38) @t1) @t5)) % 0.19/0.79 (define @t40 () (@list @t5)) % 0.19/0.79 (define @t41 () (forall @t40 (=> @t39 @t37))) % 0.19/0.79 (define @t42 () (@list @t38 @t25 @t1)) % 0.19/0.79 (define @t43 () (lambda @t42 @t41)) % 0.19/0.79 (define @t44 () (lambda @t42 (exists @t40 (and @t39 @t37)))) % 0.19/0.79 (define @t45 () (tptp.bigcity tptp.portland @t5)) % 0.19/0.79 (define @t46 () (not (tptp.mrel |tptp.'#b_alice'| tptp.mactual @t5))) % 0.19/0.79 (define @t47 () (forall @t40 (or @t46 @t45))) % 0.19/0.79 (define @t48 () (not (tptp.mrel |tptp.'#b_alice'| @t1 @t5))) % 0.19/0.79 (define @t49 () (lambda @t4 (forall @t40 (or @t48 @t45)))) % 0.19/0.79 (define @t50 () (_ @t49 tptp.mactual)) % 0.19/0.79 (define @t51 () (_ @t16 @t5)) % 0.19/0.79 (define @t52 () (or @t48 @t51)) % 0.19/0.79 (define @t53 () (_ @t16 @t5)) % 0.19/0.79 (define @t54 () (or @t48 @t53)) % 0.19/0.79 (define @t55 () (forall @t40 @t54)) % 0.19/0.79 (define @t56 () (lambda @t4 @t55)) % 0.19/0.79 (define @t57 () (_ @t25 @t5)) % 0.19/0.79 (define @t58 () (@list @t25 @t1)) % 0.19/0.79 (define @t59 () (lambda @t58 (forall @t40 (or @t48 @t57)))) % 0.19/0.79 (define @t60 () (tptp.mrel @t38 @t1 @t5)) % 0.19/0.79 (define @t61 () (lambda @t42 (forall @t40 (or (not @t60) @t57)))) % 0.19/0.79 (define @t62 () (not @t39)) % 0.19/0.79 (define @t63 () (or @t62 @t37)) % 0.19/0.79 (define @t64 () (@var "BOUND_VARIABLE_7875" tptp.mworld)) % 0.19/0.79 (define @t65 () (tptp.bigcity tptp.portland @t64)) % 0.19/0.79 (define @t66 () (@var "BOUND_VARIABLE_7873" tptp.mworld)) % 0.19/0.79 (define @t67 () (not (tptp.mrel |tptp.'#b_bob'| @t66 @t64))) % 0.19/0.79 (define @t68 () (not (tptp.mrel |tptp.'#i_alice'| @t5 @t66))) % 0.19/0.79 (define @t69 () (@var "BOUND_VARIABLE_7746" tptp.mworld)) % 0.19/0.79 (define @t70 () (not (tptp.bigcity tptp.portland @t69))) % 0.19/0.79 (define @t71 () (@var "BOUND_VARIABLE_7840" tptp.mworld)) % 0.19/0.79 (define @t72 () (not (tptp.mrel |tptp.'#b_bob'| @t71 @t69))) % 0.19/0.79 (define @t73 () (@list @t71 @t69)) % 0.19/0.79 (define @t74 () (forall @t73 (or (not (tptp.mrel |tptp.'#b_alice'| @t5 @t71)) @t72 @t70))) % 0.19/0.79 (define @t75 () (not @t74)) % 0.19/0.79 (define @t76 () (not @t45)) % 0.19/0.79 (define @t77 () (@list @t5 @t66 @t64)) % 0.19/0.79 (define @t78 () (or @t48 @t76 @t75 @t68 @t67 @t65)) % 0.19/0.79 (define @t79 () (lambda @t4 (forall @t77 @t78))) % 0.19/0.79 (define @t80 () (_ @t79 tptp.mactual)) % 0.19/0.79 (define @t81 () (or @t68 @t67 @t65)) % 0.19/0.79 (define @t82 () (or @t48 @t76 @t75 @t81)) % 0.19/0.79 (define @t83 () (forall @t77 @t82)) % 0.19/0.79 (define @t84 () (@list @t66 @t64)) % 0.19/0.79 (define @t85 () (forall @t84 @t82)) % 0.19/0.79 (define @t86 () (forall @t84 @t81)) % 0.19/0.79 (define @t87 () (@var "BOUND_VARIABLE_7808" tptp.mworld)) % 0.19/0.79 (define @t88 () (@var "BOUND_VARIABLE_7831" tptp.mworld)) % 0.19/0.79 (define @t89 () (or @t48 @t76 @t75 @t86)) % 0.19/0.79 (define @t90 () (tptp.bigcity tptp.portland @t87)) % 0.19/0.79 (define @t91 () (not (tptp.mrel |tptp.'#b_bob'| @t88 @t87))) % 0.19/0.79 (define @t92 () (@list @t88 @t87)) % 0.19/0.79 (define @t93 () (forall @t92 (or (not (tptp.mrel |tptp.'#i_alice'| @t5 @t88)) @t91 @t90))) % 0.19/0.79 (define @t94 () (not @t51)) % 0.19/0.79 (define @t95 () (or @t48 @t94 @t75 @t93)) % 0.19/0.79 (define @t96 () (or @t94 @t75 @t93)) % 0.19/0.79 (define @t97 () (and @t51 @t74)) % 0.19/0.79 (define @t98 () (=> @t97 @t93)) % 0.19/0.79 (define @t99 () (or @t48 @t98)) % 0.19/0.79 (define @t100 () (_ @t16 @t1)) % 0.19/0.79 (define @t101 () (not (tptp.mrel |tptp.'#b_bob'| @t5 @t87))) % 0.19/0.79 (define @t102 () (not (tptp.mrel |tptp.'#i_alice'| @t1 @t5))) % 0.19/0.79 (define @t103 () (or @t102 @t101 @t90)) % 0.19/0.79 (define @t104 () (@list @t5 @t87)) % 0.19/0.79 (define @t105 () (forall @t104 @t103)) % 0.19/0.79 (define @t106 () (@list @t5)) % 0.19/0.79 (define @t107 () (not (tptp.mrel |tptp.'#b_bob'| @t5 @t69))) % 0.19/0.79 (define @t108 () (or @t48 @t107 @t70)) % 0.19/0.79 (define @t109 () (@list @t5 @t69)) % 0.19/0.79 (define @t110 () (forall @t109 @t108)) % 0.19/0.79 (define @t111 () (and @t100 @t110)) % 0.19/0.79 (define @t112 () (=> @t111 @t105)) % 0.19/0.79 (define @t113 () (lambda @t4 @t112)) % 0.19/0.79 (define @t114 () (or @t48 (_ @t113 @t5))) % 0.19/0.79 (define @t115 () (forall @t40 @t114)) % 0.19/0.79 (define @t116 () (lambda @t4 @t115)) % 0.19/0.79 (define @t117 () (lambda @t4 @t105)) % 0.19/0.79 (define @t118 () (_ @t117 @t1)) % 0.19/0.79 (define @t119 () (=> @t111 @t118)) % 0.19/0.79 (define @t120 () (lambda @t4 @t119)) % 0.19/0.79 (define @t121 () (@list @t30 @t1)) % 0.19/0.79 (define @t122 () (or @t101 @t90)) % 0.19/0.79 (define @t123 () (or @t102 @t122)) % 0.19/0.79 (define @t124 () (forall @t104 @t123)) % 0.19/0.79 (define @t125 () (@list @t87)) % 0.19/0.79 (define @t126 () (forall @t125 @t123)) % 0.19/0.79 (define @t127 () (forall @t125 @t122)) % 0.19/0.79 (define @t128 () (@var "BOUND_VARIABLE_7792" tptp.mworld)) % 0.19/0.79 (define @t129 () (@list @t128)) % 0.19/0.79 (define @t130 () (or @t102 @t127)) % 0.19/0.79 (define @t131 () (tptp.bigcity tptp.portland @t128)) % 0.19/0.79 (define @t132 () (@list @t128)) % 0.19/0.79 (define @t133 () (forall @t132 (or (not (tptp.mrel |tptp.'#b_bob'| @t5 @t128)) @t131))) % 0.19/0.79 (define @t134 () (not (tptp.mrel |tptp.'#b_bob'| @t1 @t5))) % 0.19/0.79 (define @t135 () (forall @t40 (or @t134 @t45))) % 0.19/0.79 (define @t136 () (lambda @t4 @t135)) % 0.19/0.79 (define @t137 () (or @t102 (_ @t136 @t5))) % 0.19/0.79 (define @t138 () (forall @t40 @t137)) % 0.19/0.79 (define @t139 () (lambda @t4 @t138)) % 0.19/0.79 (define @t140 () (lambda @t58 (forall @t40 (or @t102 @t57)))) % 0.19/0.79 (define @t141 () (or @t134 @t51)) % 0.19/0.79 (define @t142 () (or @t134 @t53)) % 0.19/0.79 (define @t143 () (forall @t40 @t142)) % 0.19/0.79 (define @t144 () (lambda @t4 @t143)) % 0.19/0.79 (define @t145 () (lambda @t58 (forall @t40 (or @t134 @t57)))) % 0.19/0.79 (define @t146 () (_ @t61 |tptp.'#b_bob'|)) % 0.19/0.79 (define @t147 () (_ @t61 |tptp.'#i_alice'|)) % 0.19/0.79 (define @t148 () (lambda @t4 @t111)) % 0.19/0.79 (define @t149 () (_ @t148 @t1)) % 0.19/0.79 (define @t150 () (=> @t149 @t31)) % 0.19/0.79 (define @t151 () (lambda @t121 @t150)) % 0.19/0.79 (define @t152 () (lambda @t4 @t110)) % 0.19/0.79 (define @t153 () (_ @t152 @t1)) % 0.19/0.79 (define @t154 () (and @t100 @t153)) % 0.19/0.79 (define @t155 () (lambda @t4 @t154)) % 0.19/0.79 (define @t156 () (lambda @t121 (and @t100 @t31))) % 0.19/0.79 (define @t157 () (or @t107 @t70)) % 0.19/0.79 (define @t158 () (or @t48 @t157)) % 0.19/0.79 (define @t159 () (forall @t109 @t158)) % 0.19/0.79 (define @t160 () (@list @t69)) % 0.19/0.79 (define @t161 () (forall @t160 @t158)) % 0.19/0.79 (define @t162 () (forall @t160 @t157)) % 0.19/0.79 (define @t163 () (@var "BOUND_VARIABLE_7729" tptp.mworld)) % 0.19/0.79 (define @t164 () (@list @t163)) % 0.19/0.79 (define @t165 () (or @t48 @t162)) % 0.19/0.79 (define @t166 () (not (tptp.bigcity tptp.portland @t163))) % 0.19/0.79 (define @t167 () (@list @t163)) % 0.19/0.79 (define @t168 () (forall @t167 (or (not (tptp.mrel |tptp.'#b_bob'| @t5 @t163)) @t166))) % 0.19/0.79 (define @t169 () (forall @t40 (or @t134 @t76))) % 0.19/0.79 (define @t170 () (lambda @t4 @t169)) % 0.19/0.79 (define @t171 () (or @t48 (_ @t170 @t5))) % 0.19/0.79 (define @t172 () (forall @t40 @t171)) % 0.19/0.79 (define @t173 () (lambda @t4 @t172)) % 0.19/0.79 (define @t174 () (or @t134 @t94)) % 0.19/0.79 (define @t175 () (lambda @t4 (not @t100))) % 0.19/0.79 (define @t176 () (_ @t175 @t5)) % 0.19/0.79 (define @t177 () (or @t134 @t176)) % 0.19/0.79 (define @t178 () (forall @t40 @t177)) % 0.19/0.79 (define @t179 () (lambda @t4 @t178)) % 0.19/0.79 (define @t180 () (forall @t104 (or (not (tptp.mrel |tptp.'#i_alice'| tptp.mactual @t5)) @t101 @t90))) % 0.19/0.79 (define @t181 () (@quantifiers_skolemize @t180 1)) % 0.19/0.79 (define @t182 () (@quantifiers_skolemize @t180 0)) % 0.19/0.79 (define @t183 () (forall @t109 (or @t46 @t107 @t70))) % 0.19/0.79 (define @t184 () (_ @t152 tptp.mactual)) % 0.19/0.79 (define @t185 () (@var "BOUND_VARIABLE_8615" tptp.mworld)) % 0.19/0.79 (define @t186 () (@var "BOUND_VARIABLE_8614" tptp.mworld)) % 0.19/0.79 (define @t187 () (@list @t186 @t185)) % 0.19/0.79 (define @t188 () (forall @t73 (or (not (tptp.mrel |tptp.'#b_alice'| tptp.mactual @t71)) @t72 @t70))) % 0.19/0.79 (define @t189 () (tptp.mrel |tptp.'#b_alice'| @t1 @t1)) % 0.19/0.79 (define @t190 () (@list tptp.mactual)) % 0.19/0.79 (define @t191 () (_ @t117 tptp.mactual)) % 0.19/0.79 (define @t192 () (tptp.bigcity tptp.portland @t181)) % 0.19/0.79 (define @t193 () (tptp.mrel |tptp.'#b_bob'| @t182 @t181)) % 0.19/0.79 (define @t194 () (not @t193)) % 0.19/0.79 (define @t195 () (tptp.mrel |tptp.'#i_alice'| tptp.mactual @t182)) % 0.19/0.79 (define @t196 () (not @t195)) % 0.19/0.79 (define @t197 () (or @t196 @t194 @t192)) % 0.19/0.79 (define @t198 () (@list true)) % 0.19/0.79 (define @t199 () (@list @t197)) % 0.19/0.79 (define @t200 () (not @t188)) % 0.19/0.79 (define @t201 () (tptp.bigcity tptp.portland tptp.mactual)) % 0.19/0.79 (define @t202 () (not @t201)) % 0.19/0.79 (define @t203 () (tptp.mrel |tptp.'#b_alice'| tptp.mactual tptp.mactual)) % 0.19/0.79 (define @t204 () (not @t203)) % 0.19/0.79 (define @t205 () (or @t204 @t202 @t200 @t196 @t194 @t192)) % 0.19/0.79 (define @t206 () (or @t204 @t201)) % 0.19/0.79 (define @t207 () (not @t206)) % 0.19/0.79 (assume @p1 (forall @t4 (_ @t3 @t1))) % 0.19/0.79 (assume @p2 (forall @t7 (=> (and (_ @t3 @t6) (_ @t3 @t5)) (_ (_ @t2 @t6) @t5)))) % 0.19/0.79 (assume @p3 (forall @t4 (_ @t9 @t1))) % 0.19/0.79 (assume @p4 (forall @t7 (=> (and (_ @t9 @t6) (_ @t9 @t5)) (_ (_ @t8 @t6) @t5)))) % 0.19/0.79 (assume @p5 @t13) % 0.19/0.79 (assume @p6 (forall @t7 (=> (and (_ @t11 @t6) (_ @t11 @t5)) (_ (_ @t10 @t6) @t5)))) % 0.19/0.79 (assume @p7 (forall @t4 (_ @t15 @t1))) % 0.19/0.79 (assume @p8 (forall @t7 (=> (and (_ @t15 @t6) (_ @t15 @t5)) (_ (_ @t14 @t6) @t5)))) % 0.19/0.79 (assume @p9 (_ tptp.mlocal (_ @t20 (_ (_ tptp.mimplies (_ @t22 @t21)) @t18)))) % 0.19/0.79 (assume @p10 (_ tptp.mlocal (_ @t17 (_ (_ tptp.mimplies (_ @t22 (_ @t17 (_ @t20 @t19)))) (_ (_ tptp.mbox |tptp.'#i_bob'|) @t23))))) % 0.19/0.79 (assume @p11 (_ tptp.mlocal @t23)) % 0.19/0.79 (assume @p12 (_ tptp.mlocal @t21)) % 0.19/0.79 (assume @p13 @t24) % 0.19/0.79 (assume @p14 true) % 0.19/0.79 (step @p15 (= tptp.mlocal @t26) :rule refl :args (@t26)) % 0.19/0.79 (step @p16 (= tptp.mnot @t29) :rule refl :args (@t29)) % 0.19/0.79 (step @p17 (= tptp.mand @t33) :rule refl :args (@t33)) % 0.19/0.79 (step @p18 (= tptp.mor @t34) :rule refl :args (@t34)) % 0.19/0.79 (step @p19 (= tptp.mimplies @t35) :rule refl :args (@t35)) % 0.19/0.79 (step @p20 (= tptp.mequiv @t36) :rule refl :args (@t36)) % 0.19/0.79 (step @p21 (= tptp.mbox @t43) :rule refl :args (@t43)) % 0.19/0.79 (step @p22 (= tptp.mdia @t44) :rule refl :args (@t44)) % 0.19/0.79 (step @p23 :rule beta-reduce :args ((= @t50 @t47))) % 0.19/0.79 (step @p24 :rule beta-reduce :args ((= (_ @t26 @t49) @t50))) % 0.19/0.79 (step @p25 :rule trans :premises (@p24 @p23)) % 0.19/0.79 (step @p26 :rule refl :args (@t45)) % 0.19/0.79 (step @p27 :rule refl :args (@t51)) % 0.19/0.79 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t51 @t45))) % 0.19/0.79 (step @p29 :rule symm :premises (@p28)) % 0.19/0.79 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.19/0.79 (step @p31 :rule refl :args (@t48)) % 0.19/0.79 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t52)) % 0.19/0.79 (step @p33 :rule cong :premises (@p32) :args ((forall @t40 @t52))) % 0.19/0.79 (step @p34 :rule refl :args (@t53)) % 0.19/0.79 (step @p35 :rule refl :args (@t48)) % 0.19/0.79 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t54)) % 0.19/0.79 (step @p37 :rule cong :premises (@p36) :args (@t55)) % 0.19/0.79 (step @p38 :rule trans :premises (@p37 @p33)) % 0.19/0.79 (step @p39 :rule cong :premises (@p38) :args (@t56)) % 0.19/0.79 (step @p40 :rule beta-reduce :args ((= (_ @t59 @t16) @t56))) % 0.19/0.79 (step @p41 :rule trans :premises (@p40 @p39)) % 0.19/0.79 (step @p42 :rule refl :args (@t16)) % 0.19/0.79 (step @p43 :rule beta-reduce :args ((= (_ @t61 |tptp.'#b_alice'|) @t59))) % 0.19/0.79 (step @p44 :rule ho_cong :premises (@p43 @p42)) % 0.19/0.79 (step @p45 :rule trans :premises (@p44 @p41)) % 0.19/0.79 (step @p46 :rule refl :args (@t26)) % 0.19/0.79 (step @p47 :rule ho_cong :premises (@p46 @p45)) % 0.19/0.79 (step @p48 :rule trans :premises (@p47 @p25)) % 0.19/0.79 (step @p49 :rule refl :args (|tptp.'#b_alice'|)) % 0.19/0.79 (step @p50 :rule refl :args (@t57)) % 0.19/0.79 (step @p51 :rule refl :args (@t37)) % 0.19/0.79 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t37 @t57))) % 0.19/0.79 (step @p53 :rule symm :premises (@p52)) % 0.19/0.79 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.19/0.79 (step @p55 :rule refl :args (@t60)) % 0.19/0.79 (step @p56 :rule refl :args (@t39)) % 0.19/0.79 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t39 @t60))) % 0.19/0.79 (step @p58 :rule symm :premises (@p57)) % 0.19/0.79 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.19/0.79 (step @p60 :rule cong :premises (@p59) :args (@t62)) % 0.19/0.79 (step @p61 :rule nary_cong :premises (@p60 @p54) :args (@t63)) % 0.19/0.79 (step @p62 :rule cong :premises (@p61) :args ((forall @t40 @t63))) % 0.19/0.79 (step @p63 :rule bool-impl-elim :args (@t39 @t37)) % 0.19/0.79 (step @p64 :rule cong :premises (@p63) :args (@t41)) % 0.19/0.79 (step @p65 :rule trans :premises (@p64 @p62)) % 0.19/0.79 (step @p66 :rule cong :premises (@p65) :args (@t43)) % 0.19/0.79 (step @p67 :rule trans :premises (@p21 @p66)) % 0.19/0.79 (step @p68 :rule ho_cong :premises (@p67 @p49)) % 0.19/0.79 (step @p69 :rule ho_cong :premises (@p68 @p42)) % 0.19/0.79 (step @p70 :rule ho_cong :premises (@p15 @p69)) % 0.19/0.79 (step @p71 :rule trans :premises (@p70 @p48)) % 0.19/0.79 (step @p72 :rule eq_resolve :premises (@p11 @p71)) % 0.19/0.79 (step @p73 :rule beta-reduce :args ((= @t80 (forall @t77 (or @t46 @t76 @t75 @t68 @t67 @t65))))) % 0.19/0.79 (step @p74 :rule beta-reduce :args ((= (_ @t26 @t79) @t80))) % 0.19/0.79 (step @p75 :rule trans :premises (@p74 @p73)) % 0.19/0.79 (step @p76 :rule aci_norm :args ((= @t82 @t78))) % 0.19/0.79 (step @p77 :rule cong :premises (@p76) :args (@t83)) % 0.19/0.79 (step @p78 :rule quant-merge-prenex :args ((= (forall @t40 @t85) @t83))) % 0.19/0.79 (step @p79 :rule alpha_equiv :args (@t86 (@list @t66 @t64) (@list @t88 @t87))) % 0.19/0.79 (step @p80 :rule refl :args (@t75)) % 0.19/0.79 (step @p81 :rule refl :args (@t76)) % 0.19/0.79 (step @p82 :rule nary_cong :premises (@p31 @p81 @p80 @p79) :args (@t89)) % 0.19/0.79 (step @p83 :rule quant-miniscope-or :args ((= @t85 @t89))) % 0.19/0.79 (step @p84 :rule trans :premises (@p83 @p82)) % 0.19/0.79 (step @p85 :rule symm :premises (@p84)) % 0.19/0.79 (step @p86 :rule cong :premises (@p85) :args ((forall @t40 (or @t48 @t76 @t75 @t93)))) % 0.19/0.79 (step @p87 :rule trans :premises (@p86 @p78)) % 0.19/0.79 (step @p88 :rule trans :premises (@p87 @p77)) % 0.19/0.79 (step @p89 :rule refl :args (@t93)) % 0.19/0.79 (step @p90 :rule cong :premises (@p30) :args (@t94)) % 0.19/0.79 (step @p91 :rule nary_cong :premises (@p31 @p90 @p80 @p89) :args (@t95)) % 0.19/0.79 (step @p92 :rule cong :premises (@p91) :args ((forall @t40 @t95))) % 0.19/0.79 (step @p93 :rule trans :premises (@p92 @p88)) % 0.19/0.79 (step @p94 :rule aci_norm :args ((= (or @t48 @t96) @t95))) % 0.19/0.79 (step @p95 :rule aci_norm :args ((= (or (or @t94 @t75) @t93) @t96))) % 0.19/0.79 (step @p96 :rule bool-and-de-morgan :args (@t51 @t74 true)) % 0.19/0.79 (step @p97 :rule nary_cong :premises (@p96 @p89) :args ((or (not @t97) @t93))) % 0.19/0.79 (step @p98 :rule trans :premises (@p97 @p95)) % 0.19/0.79 (step @p99 :rule bool-impl-elim :args (@t97 @t93)) % 0.19/0.79 (step @p100 :rule trans :premises (@p99 @p98)) % 0.19/0.79 (step @p101 :rule nary_cong :premises (@p31 @p100) :args (@t99)) % 0.19/0.79 (step @p102 :rule trans :premises (@p101 @p94)) % 0.19/0.79 (step @p103 :rule cong :premises (@p102) :args ((forall @t40 @t99))) % 0.19/0.79 (step @p104 :rule trans :premises (@p103 @p93)) % 0.19/0.79 (step @p105 :rule beta-reduce :args ((= (_ (lambda @t4 (=> (and @t100 (forall @t73 (or (not (tptp.mrel |tptp.'#b_alice'| @t1 @t71)) @t72 @t70))) (forall @t92 (or (not (tptp.mrel |tptp.'#i_alice'| @t1 @t88)) @t91 @t90)))) @t5) @t98))) % 0.19/0.79 (step @p106 :rule refl :args (@t5)) % 0.19/0.79 (step @p107 :rule alpha_equiv :args (@t105 @t106 (@list @t88))) % 0.19/0.79 (step @p108 :rule alpha_equiv :args (@t110 @t106 (@list @t71))) % 0.19/0.79 (step @p109 :rule refl :args (@t100)) % 0.19/0.79 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t111)) % 0.19/0.79 (step @p111 :rule cong :premises (@p110 @p107) :args (@t112)) % 0.19/0.79 (step @p112 :rule cong :premises (@p111) :args (@t113)) % 0.19/0.79 (step @p113 :rule ho_cong :premises (@p112 @p106)) % 0.19/0.79 (step @p114 :rule trans :premises (@p113 @p105)) % 0.19/0.79 (step @p115 :rule nary_cong :premises (@p35 @p114) :args (@t114)) % 0.19/0.79 (step @p116 :rule cong :premises (@p115) :args (@t115)) % 0.19/0.79 (step @p117 :rule trans :premises (@p116 @p104)) % 0.19/0.79 (step @p118 :rule cong :premises (@p117) :args (@t116)) % 0.19/0.79 (step @p119 :rule beta-reduce :args ((= (_ @t59 @t113) @t116))) % 0.19/0.79 (step @p120 :rule trans :premises (@p119 @p118)) % 0.19/0.79 (step @p121 :rule beta-reduce :args ((= @t118 @t105))) % 0.19/0.79 (step @p122 :rule refl :args (@t111)) % 0.19/0.79 (step @p123 :rule cong :premises (@p122 @p121) :args (@t119)) % 0.19/0.79 (step @p124 :rule cong :premises (@p123) :args (@t120)) % 0.19/0.79 (step @p125 :rule beta-reduce :args ((= (_ (lambda @t121 (=> @t111 @t31)) @t117) @t120))) % 0.19/0.79 (step @p126 :rule trans :premises (@p125 @p124)) % 0.19/0.79 (step @p127 :rule aci_norm :args ((= @t123 @t103))) % 0.19/0.79 (step @p128 :rule cong :premises (@p127) :args (@t124)) % 0.19/0.79 (step @p129 :rule quant-merge-prenex :args ((= (forall @t40 @t126) @t124))) % 0.19/0.79 (step @p130 :rule alpha_equiv :args (@t127 (@list @t87) @t129)) % 0.19/0.79 (step @p131 :rule refl :args (@t102)) % 0.19/0.79 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t130)) % 0.19/0.79 (step @p133 :rule quant-miniscope-or :args ((= @t126 @t130))) % 0.19/0.79 (step @p134 :rule trans :premises (@p133 @p132)) % 0.19/0.79 (step @p135 :rule symm :premises (@p134)) % 0.19/0.79 (step @p136 :rule cong :premises (@p135) :args ((forall @t40 (or @t102 @t133)))) % 0.19/0.79 (step @p137 :rule trans :premises (@p136 @p129)) % 0.19/0.79 (step @p138 :rule trans :premises (@p137 @p128)) % 0.19/0.79 (step @p139 :rule beta-reduce :args ((= (_ (lambda @t4 (forall @t132 (or (not (tptp.mrel |tptp.'#b_bob'| @t1 @t128)) @t131))) @t5) @t133))) % 0.19/0.79 (step @p140 :rule alpha_equiv :args (@t135 @t106 @t129)) % 0.19/0.79 (step @p141 :rule cong :premises (@p140) :args (@t136)) % 0.19/0.79 (step @p142 :rule ho_cong :premises (@p141 @p106)) % 0.19/0.79 (step @p143 :rule trans :premises (@p142 @p139)) % 0.19/0.79 (step @p144 :rule refl :args (@t102)) % 0.19/0.79 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t137)) % 0.19/0.79 (step @p146 :rule cong :premises (@p145) :args (@t138)) % 0.19/0.79 (step @p147 :rule trans :premises (@p146 @p138)) % 0.19/0.79 (step @p148 :rule cong :premises (@p147) :args (@t139)) % 0.19/0.79 (step @p149 :rule beta-reduce :args ((= (_ @t140 @t136) @t139))) % 0.19/0.79 (step @p150 :rule trans :premises (@p149 @p148)) % 0.19/0.79 (step @p151 :rule refl :args (@t134)) % 0.19/0.79 (step @p152 :rule nary_cong :premises (@p151 @p30) :args (@t141)) % 0.19/0.79 (step @p153 :rule cong :premises (@p152) :args ((forall @t40 @t141))) % 0.19/0.79 (step @p154 :rule refl :args (@t134)) % 0.19/0.79 (step @p155 :rule nary_cong :premises (@p154 @p34) :args (@t142)) % 0.19/0.79 (step @p156 :rule cong :premises (@p155) :args (@t143)) % 0.19/0.79 (step @p157 :rule trans :premises (@p156 @p153)) % 0.19/0.79 (step @p158 :rule cong :premises (@p157) :args (@t144)) % 0.19/0.79 (step @p159 :rule beta-reduce :args ((= (_ @t145 @t16) @t144))) % 0.19/0.79 (step @p160 :rule trans :premises (@p159 @p158)) % 0.19/0.79 (step @p161 :rule beta-reduce :args ((= @t146 @t145))) % 0.19/0.79 (step @p162 :rule ho_cong :premises (@p161 @p42)) % 0.19/0.79 (step @p163 :rule trans :premises (@p162 @p160)) % 0.19/0.79 (step @p164 :rule beta-reduce :args ((= @t147 @t140))) % 0.19/0.79 (step @p165 :rule ho_cong :premises (@p164 @p163)) % 0.19/0.79 (step @p166 :rule trans :premises (@p165 @p150)) % 0.19/0.79 (step @p167 :rule refl :args (@t31)) % 0.19/0.79 (step @p168 :rule beta-reduce :args ((= @t149 @t111))) % 0.19/0.79 (step @p169 :rule cong :premises (@p168 @p167) :args (@t150)) % 0.19/0.79 (step @p170 :rule cong :premises (@p169) :args (@t151)) % 0.19/0.79 (step @p171 :rule beta-reduce :args ((= (_ @t35 @t148) @t151))) % 0.19/0.79 (step @p172 :rule trans :premises (@p171 @p170)) % 0.19/0.79 (step @p173 :rule beta-reduce :args ((= @t153 @t110))) % 0.19/0.79 (step @p174 :rule refl :args (@t100)) % 0.19/0.79 (step @p175 :rule nary_cong :premises (@p174 @p173) :args (@t154)) % 0.19/0.79 (step @p176 :rule cong :premises (@p175) :args (@t155)) % 0.19/0.79 (step @p177 :rule beta-reduce :args ((= (_ @t156 @t152) @t155))) % 0.19/0.79 (step @p178 :rule trans :premises (@p177 @p176)) % 0.19/0.79 (step @p179 :rule aci_norm :args ((= @t158 @t108))) % 0.19/0.79 (step @p180 :rule cong :premises (@p179) :args (@t159)) % 0.19/0.79 (step @p181 :rule quant-merge-prenex :args ((= (forall @t40 @t161) @t159))) % 0.19/0.79 (step @p182 :rule alpha_equiv :args (@t162 (@list @t69) @t164)) % 0.19/0.79 (step @p183 :rule nary_cong :premises (@p31 @p182) :args (@t165)) % 0.19/0.79 (step @p184 :rule quant-miniscope-or :args ((= @t161 @t165))) % 0.19/0.79 (step @p185 :rule trans :premises (@p184 @p183)) % 0.19/0.79 (step @p186 :rule symm :premises (@p185)) % 0.19/0.79 (step @p187 :rule cong :premises (@p186) :args ((forall @t40 (or @t48 @t168)))) % 0.19/0.79 (step @p188 :rule trans :premises (@p187 @p181)) % 0.19/0.79 (step @p189 :rule trans :premises (@p188 @p180)) % 0.19/0.79 (step @p190 :rule beta-reduce :args ((= (_ (lambda @t4 (forall @t167 (or (not (tptp.mrel |tptp.'#b_bob'| @t1 @t163)) @t166))) @t5) @t168))) % 0.19/0.79 (step @p191 :rule alpha_equiv :args (@t169 @t106 @t164)) % 0.19/0.79 (step @p192 :rule cong :premises (@p191) :args (@t170)) % 0.19/0.79 (step @p193 :rule ho_cong :premises (@p192 @p106)) % 0.19/0.79 (step @p194 :rule trans :premises (@p193 @p190)) % 0.19/0.79 (step @p195 :rule nary_cong :premises (@p35 @p194) :args (@t171)) % 0.19/0.79 (step @p196 :rule cong :premises (@p195) :args (@t172)) % 0.19/0.79 (step @p197 :rule trans :premises (@p196 @p189)) % 0.19/0.79 (step @p198 :rule cong :premises (@p197) :args (@t173)) % 0.19/0.79 (step @p199 :rule beta-reduce :args ((= (_ @t59 @t170) @t173))) % 0.19/0.79 (step @p200 :rule trans :premises (@p199 @p198)) % 0.19/0.79 (step @p201 :rule nary_cong :premises (@p151 @p90) :args (@t174)) % 0.19/0.79 (step @p202 :rule cong :premises (@p201) :args ((forall @t40 @t174))) % 0.19/0.79 (step @p203 :rule beta-reduce :args ((= @t176 @t94))) % 0.19/0.79 (step @p204 :rule nary_cong :premises (@p154 @p203) :args (@t177)) % 0.19/0.79 (step @p205 :rule cong :premises (@p204) :args (@t178)) % 0.19/0.79 (step @p206 :rule trans :premises (@p205 @p202)) % 0.19/0.79 (step @p207 :rule cong :premises (@p206) :args (@t179)) % 0.19/0.79 (step @p208 :rule beta-reduce :args ((= (_ @t145 @t175) @t179))) % 0.19/0.79 (step @p209 :rule trans :premises (@p208 @p207)) % 0.19/0.79 (step @p210 :rule beta-reduce :args ((= (_ @t29 @t16) @t175))) % 0.19/0.79 (step @p211 :rule ho_cong :premises (@p161 @p210)) % 0.19/0.79 (step @p212 :rule trans :premises (@p211 @p209)) % 0.19/0.79 (step @p213 :rule ho_cong :premises (@p43 @p212)) % 0.19/0.79 (step @p214 :rule trans :premises (@p213 @p200)) % 0.19/0.79 (step @p215 :rule beta-reduce :args ((= (_ @t33 @t16) @t156))) % 0.19/0.79 (step @p216 :rule ho_cong :premises (@p215 @p214)) % 0.19/0.79 (step @p217 :rule trans :premises (@p216 @p178)) % 0.19/0.79 (step @p218 :rule refl :args (@t35)) % 0.19/0.79 (step @p219 :rule ho_cong :premises (@p218 @p217)) % 0.19/0.79 (step @p220 :rule trans :premises (@p219 @p172)) % 0.19/0.79 (step @p221 :rule ho_cong :premises (@p220 @p166)) % 0.19/0.79 (step @p222 :rule trans :premises (@p221 @p126)) % 0.19/0.79 (step @p223 :rule ho_cong :premises (@p43 @p222)) % 0.19/0.79 (step @p224 :rule trans :premises (@p223 @p120)) % 0.19/0.79 (step @p225 :rule ho_cong :premises (@p46 @p224)) % 0.19/0.79 (step @p226 :rule trans :premises (@p225 @p75)) % 0.19/0.79 (step @p227 :rule refl :args (|tptp.'#b_bob'|)) % 0.19/0.79 (step @p228 :rule ho_cong :premises (@p67 @p227)) % 0.19/0.79 (step @p229 :rule ho_cong :premises (@p228 @p42)) % 0.19/0.79 (step @p230 :rule refl :args (|tptp.'#i_alice'|)) % 0.19/0.79 (step @p231 :rule ho_cong :premises (@p67 @p230)) % 0.19/0.79 (step @p232 :rule ho_cong :premises (@p231 @p229)) % 0.19/0.79 (step @p233 :rule ho_cong :premises (@p16 @p42)) % 0.19/0.79 (step @p234 :rule ho_cong :premises (@p228 @p233)) % 0.19/0.80 (step @p235 :rule ho_cong :premises (@p68 @p234)) % 0.19/0.80 (step @p236 :rule ho_cong :premises (@p17 @p42)) % 0.19/0.80 (step @p237 :rule ho_cong :premises (@p236 @p235)) % 0.19/0.80 (step @p238 :rule ho_cong :premises (@p19 @p237)) % 0.19/0.80 (step @p239 :rule ho_cong :premises (@p238 @p232)) % 0.19/0.80 (step @p240 :rule ho_cong :premises (@p68 @p239)) % 0.19/0.80 (step @p241 :rule ho_cong :premises (@p15 @p240)) % 0.19/0.80 (step @p242 :rule trans :premises (@p241 @p226)) % 0.19/0.80 (step @p243 :rule eq_resolve :premises (@p9 @p242)) % 0.19/0.80 (step @p244 :rule instantiate :premises (@p243) :args ((@list tptp.mactual @t182 @t181))) % 0.19/0.80 (step @p245 :rule beta-reduce :args ((= @t184 @t183))) % 0.19/0.80 (step @p246 :rule beta-reduce :args ((= (_ @t26 @t152) @t184))) % 0.19/0.80 (step @p247 :rule trans :premises (@p246 @p245)) % 0.19/0.80 (step @p248 :rule ho_cong :premises (@p46 @p214)) % 0.19/0.80 (step @p249 :rule trans :premises (@p248 @p247)) % 0.19/0.80 (step @p250 :rule ho_cong :premises (@p15 @p235)) % 0.19/0.80 (step @p251 :rule trans :premises (@p250 @p249)) % 0.19/0.80 (step @p252 :rule eq_resolve :premises (@p12 @p251)) % 0.19/0.80 (step @p253 :rule alpha_equiv :args ((forall (@list @t186 @t185) (or (not (tptp.mrel |tptp.'#b_alice'| tptp.mactual @t186)) (not (tptp.mrel |tptp.'#b_bob'| @t186 @t185)) (not (tptp.bigcity tptp.portland @t185)))) @t187 (@list @t71 @t69))) % 0.19/0.80 (step @p254 :rule alpha_equiv :args (@t183 (@list @t5 @t69) @t187)) % 0.19/0.80 (step @p255 :rule trans :premises (@p254 @p253)) % 0.19/0.80 (step @p256 :rule equiv_elim1 :premises (@p255)) % 0.19/0.80 (step @p257 :rule chain_m_resolution :premises (@p256 @p252) :args (@t188 (@list false) (@list @t183))) % 0.19/0.80 (step @p258 :rule refl :args (@t189)) % 0.19/0.80 (step @p259 :rule refl :args (@t12)) % 0.19/0.80 (step @p260 :rule cong :premises (@p259 @p258) :args ((= @t12 @t189))) % 0.19/0.80 (step @p261 :rule symm :premises (@p260)) % 0.19/0.80 (step @p262 :rule eq_resolve :premises (@p259 @p261)) % 0.19/0.80 (step @p263 :rule cong :premises (@p262) :args (@t13)) % 0.19/0.80 (step @p264 :rule eq_resolve :premises (@p5 @p263)) % 0.19/0.80 (step @p265 :rule instantiate :premises (@p264) :args (@t190)) % 0.19/0.80 (step @p266 :rule beta-reduce :args ((= @t191 @t180))) % 0.19/0.80 (step @p267 :rule beta-reduce :args ((= (_ @t26 @t117) @t191))) % 0.19/0.80 (step @p268 :rule trans :premises (@p267 @p266)) % 0.19/0.80 (step @p269 :rule ho_cong :premises (@p46 @p166)) % 0.19/0.80 (step @p270 :rule trans :premises (@p269 @p268)) % 0.19/0.80 (step @p271 :rule cong :premises (@p270) :args ((not (_ @t26 (_ @t147 (_ @t146 @t16)))))) % 0.19/0.80 (step @p272 :rule ho_cong :premises (@p15 @p232)) % 0.19/0.80 (step @p273 :rule cong :premises (@p272) :args (@t24)) % 0.19/0.80 (step @p274 :rule trans :premises (@p273 @p271)) % 0.19/0.80 (step @p275 :rule eq_resolve :premises (@p13 @p274)) % 0.19/0.80 (step @p276 :rule skolemize :premises (@p275)) % 0.19/0.80 (step @p277 :rule cnf_or_neg :args (@t197 2)) % 0.19/0.80 (step @p278 :rule chain_m_resolution :premises (@p277 @p276) :args ((not @t192) @t198 @t199)) % 0.19/0.80 (step @p279 :rule bool-double-not-elim :args (@t193)) % 0.19/0.80 (step @p280 :rule refl :args (@t197)) % 0.19/0.80 (step @p281 :rule nary_cong :premises (@p280 @p279) :args ((or @t197 (not @t194)))) % 0.19/0.80 (step @p282 :rule cnf_or_neg :args (@t197 1)) % 0.19/0.80 (step @p283 :rule eq_resolve :premises (@p282 @p281)) % 0.19/0.80 (step @p284 :rule reordering :premises (@p283) :args ((or @t193 @t197))) % 0.19/0.80 (step @p285 :rule chain_m_resolution :premises (@p284 @p276) :args (@t193 @t198 @t199)) % 0.19/0.80 (step @p286 :rule bool-double-not-elim :args (@t195)) % 0.19/0.80 (step @p287 :rule nary_cong :premises (@p280 @p286) :args ((or @t197 (not @t196)))) % 0.19/0.80 (step @p288 :rule cnf_or_neg :args (@t197 0)) % 0.19/0.80 (step @p289 :rule eq_resolve :premises (@p288 @p287)) % 0.19/0.80 (step @p290 :rule reordering :premises (@p289) :args ((or @t195 @t197))) % 0.19/0.80 (step @p291 :rule chain_m_resolution :premises (@p290 @p276) :args (@t195 @t198 @t199)) % 0.19/0.80 (step @p292 :rule cnf_or_pos :args (@t205)) % 0.19/0.80 (step @p293 :rule reordering :premises (@p292) :args ((or @t196 @t194 @t192 @t204 @t202 @t200 (not @t205)))) % 0.19/0.80 (step @p294 :rule chain_m_resolution :premises (@p293 @p291 @p285 @p278 @p265 @p257 @p244) :args (@t202 (@list false false true false false false) (@list @t195 @t193 @t192 @t203 @t188 @t205))) % 0.19/0.80 (step @p295 :rule cnf_or_pos :args (@t206)) % 0.19/0.80 (step @p296 :rule reordering :premises (@p295) :args ((or @t204 @t201 @t207))) % 0.19/0.80 (step @p297 :rule chain_m_resolution :premises (@p296 @p265 @p294) :args (@t207 (@list false true) (@list @t203 @t201))) % 0.19/0.80 (assume-push @p304 @t47) % 0.19/0.80 (step @p299 :rule instantiate :premises (@p72) :args (@t190)) % 0.19/0.80 (step-pop @p305 :rule scope :premises (@p299)) % 0.19/0.80 (step @p300 :rule process_scope :premises (@p305) :args (@t206)) % 0.19/0.80 (step @p302 :rule implies_elim :premises (@p300)) % 0.19/0.80 (step @p303 false :rule chain_m_resolution :premises (@p302 @p297 @p72) :args (false (@list true false) (@list @t206 @t47))) % 0.19/0.80 ) % 0.19/0.80 % SZS output end Proof % 0.19/0.80 % cvc5 exiting %------------------------------------------------------------------------------