%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN044^4 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 09:07:52 AM UTC 2026 % Result : Theorem 2.23s 2.49s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN044^4 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.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 : Tue Jun 2 23:18:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 2.23/2.49 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 2.23/2.49 % SZS status Theorem % 2.23/2.49 % SZS output start Proof % 2.23/2.49 ( % 2.23/2.49 (declare-sort $$unsorted 0) % 2.23/2.49 (declare-const tptp.irel (-> $$unsorted $$unsorted Bool)) % 2.23/2.49 (declare-const tptp.p (-> $$unsorted Bool)) % 2.23/2.49 (declare-const tptp.q (-> $$unsorted Bool)) % 2.23/2.49 (declare-const tptp.r (-> $$unsorted Bool)) % 2.23/2.49 (declare-const tptp.ifalse (-> $$unsorted Bool)) % 2.23/2.49 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 2.23/2.49 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 2.23/2.49 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 2.23/2.49 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 2.23/2.49 (define tptp.mbox_s4 () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.irel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 2.23/2.49 (define tptp.iatom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ _let_2 _let_1))))) % 2.23/2.49 (define tptp.inot () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 _let_2)) _let_1))))) % 2.23/2.49 (define tptp.itrue () (lambda (@list (@var "W" $$unsorted)) true)) % 2.23/2.49 (define tptp.iand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1)))))) % 2.23/2.49 (define tptp.ior () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1)))))) % 2.23/2.49 (define tptp.iimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mimplies (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1)))))) % 2.23/2.49 (define tptp.iimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iimplies _let_3) _let_2) _let_1)))))) % 2.23/2.49 (define tptp.iequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iand (_ (_ tptp.iimplies _let_2) _let_3)) (_ (_ tptp.iimplies _let_3) _let_2)) _let_1)))))) % 2.23/2.49 (define tptp.ixor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.inot (_ (_ tptp.iequiv _let_3) _let_2)) _let_1)))))) % 2.23/2.49 (define tptp.ivalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 2.23/2.49 (define tptp.isatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 2.23/2.49 (define tptp.icountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 2.23/2.49 (define tptp.iinvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 2.23/2.49 (define @t1 () (@var "X" $$unsorted)) % 2.23/2.49 (define @t2 () (_ tptp.irel @t1)) % 2.23/2.49 (define @t3 () (_ @t2 @t1)) % 2.23/2.49 (define @t4 () (@list @t1)) % 2.23/2.49 (define @t5 () (forall @t4 @t3)) % 2.23/2.49 (define @t6 () (@var "Z" $$unsorted)) % 2.23/2.49 (define @t7 () (@var "Y" $$unsorted)) % 2.23/2.49 (define @t8 () (_ @t2 @t7)) % 2.23/2.49 (define @t9 () (_ tptp.iatom tptp.r)) % 2.23/2.49 (define @t10 () (_ tptp.iatom tptp.q)) % 2.23/2.49 (define @t11 () (_ tptp.iatom tptp.p)) % 2.23/2.49 (define @t12 () (not (_ tptp.ivalid (_ (_ tptp.iequiv @t11) @t10)))) % 2.23/2.49 (define @t13 () (@var "U" $$unsorted)) % 2.23/2.49 (define @t14 () (@var "X" (-> $$unsorted Bool))) % 2.23/2.49 (define @t15 () (_ @t14 @t13)) % 2.23/2.49 (define @t16 () (lambda (@list @t14 @t13) (not @t15))) % 2.23/2.49 (define @t17 () (@var "Y" (-> $$unsorted Bool))) % 2.23/2.49 (define @t18 () (_ @t17 @t13)) % 2.23/2.49 (define @t19 () (@list @t14 @t17 @t13)) % 2.23/2.49 (define @t20 () (lambda @t19 (or @t15 @t18))) % 2.23/2.49 (define @t21 () (lambda @t19 (and @t15 @t18))) % 2.23/2.49 (define @t22 () (@var "__flatten_var_0" $$unsorted)) % 2.23/2.49 (define @t23 () (@var "V" (-> $$unsorted Bool))) % 2.23/2.49 (define @t24 () (@var "U" (-> $$unsorted Bool))) % 2.23/2.49 (define @t25 () (@list @t24 @t23 @t22)) % 2.23/2.49 (define @t26 () (lambda @t25 (_ (_ (_ tptp.mor (_ tptp.mnot @t24)) @t23) @t22))) % 2.23/2.49 (define @t27 () (@var "P" (-> $$unsorted Bool))) % 2.23/2.49 (define @t28 () (_ @t27 @t7)) % 2.23/2.49 (define @t29 () (@list @t7)) % 2.23/2.49 (define @t30 () (forall @t29 (=> @t8 @t28))) % 2.23/2.49 (define @t31 () (@list @t27 @t1)) % 2.23/2.49 (define @t32 () (lambda @t31 @t30)) % 2.23/2.49 (define @t33 () (_ @t27 @t22)) % 2.23/2.49 (define @t34 () (@list @t27 @t22)) % 2.23/2.49 (define @t35 () (lambda @t34 @t33)) % 2.23/2.49 (define @t36 () (_ tptp.mbox_s4 @t27)) % 2.23/2.49 (define @t37 () (lambda @t34 (_ (_ tptp.mnot @t36) @t22))) % 2.23/2.49 (define @t38 () (@var "W" $$unsorted)) % 2.23/2.49 (define @t39 () (@list @t38)) % 2.23/2.49 (define @t40 () (lambda @t39 true)) % 2.23/2.49 (define @t41 () (@var "Q" (-> $$unsorted Bool))) % 2.23/2.49 (define @t42 () (@list @t27 @t41 @t22)) % 2.23/2.49 (define @t43 () (lambda @t42 (_ (_ (_ tptp.mand @t27) @t41) @t22))) % 2.23/2.49 (define @t44 () (_ tptp.mbox_s4 @t41)) % 2.23/2.49 (define @t45 () (lambda @t42 (_ (_ (_ tptp.mor @t36) @t44) @t22))) % 2.23/2.49 (define @t46 () (lambda @t42 (_ (_ (_ tptp.mimplies @t36) @t44) @t22))) % 2.23/2.49 (define @t47 () (_ (_ tptp.iimplies @t41) @t27)) % 2.23/2.49 (define @t48 () (lambda @t42 (_ @t47 @t22))) % 2.23/2.49 (define @t49 () (lambda @t42 (_ (_ (_ tptp.iand (_ (_ tptp.iimplies @t27) @t41)) @t47) @t22))) % 2.23/2.49 (define @t50 () (lambda @t42 (_ (_ tptp.inot (_ (_ tptp.iequiv @t27) @t41)) @t22))) % 2.23/2.49 (define @t51 () (@var "Phi" (-> $$unsorted Bool))) % 2.23/2.49 (define @t52 () (_ @t51 @t38)) % 2.23/2.49 (define @t53 () (forall @t39 @t52)) % 2.23/2.49 (define @t54 () (@list @t51)) % 2.23/2.49 (define @t55 () (lambda @t54 @t53)) % 2.23/2.49 (define @t56 () (lambda @t54 (exists @t39 @t52))) % 2.23/2.49 (define @t57 () (not @t52)) % 2.23/2.49 (define @t58 () (lambda @t54 (exists @t39 @t57))) % 2.23/2.49 (define @t59 () (lambda @t54 (forall @t39 @t57))) % 2.23/2.49 (define @t60 () (@var "BOUND_VARIABLE_8076" $$unsorted)) % 2.23/2.49 (define @t61 () (tptp.r @t60)) % 2.23/2.49 (define @t62 () (not (tptp.irel @t38 @t60))) % 2.23/2.49 (define @t63 () (tptp.q @t7)) % 2.23/2.49 (define @t64 () (not (tptp.irel @t38 @t7))) % 2.23/2.49 (define @t65 () (forall @t29 (or @t64 @t63))) % 2.23/2.49 (define @t66 () (not @t65)) % 2.23/2.49 (define @t67 () (or @t66 @t62 @t61)) % 2.23/2.49 (define @t68 () (or @t62 @t61)) % 2.23/2.49 (define @t69 () (or @t66 @t68)) % 2.23/2.49 (define @t70 () (@list @t38 @t60)) % 2.23/2.49 (define @t71 () (forall @t70 @t69)) % 2.23/2.49 (define @t72 () (@list @t60)) % 2.23/2.49 (define @t73 () (forall @t72 @t69)) % 2.23/2.49 (define @t74 () (forall @t72 @t68)) % 2.23/2.49 (define @t75 () (@list @t7)) % 2.23/2.49 (define @t76 () (or @t66 @t74)) % 2.23/2.49 (define @t77 () (tptp.r @t7)) % 2.23/2.49 (define @t78 () (forall @t29 (or @t64 @t77))) % 2.23/2.49 (define @t79 () (or @t66 @t78)) % 2.23/2.49 (define @t80 () (not (tptp.irel @t22 @t7))) % 2.23/2.49 (define @t81 () (forall @t29 (or @t80 @t77))) % 2.23/2.49 (define @t82 () (forall @t29 (or @t80 @t63))) % 2.23/2.49 (define @t83 () (not @t82)) % 2.23/2.49 (define @t84 () (@list @t22)) % 2.23/2.49 (define @t85 () (lambda @t84 (or @t83 @t81))) % 2.23/2.49 (define @t86 () (_ @t85 @t38)) % 2.23/2.49 (define @t87 () (forall @t39 @t86)) % 2.23/2.49 (define @t88 () (_ @t51 @t38)) % 2.23/2.49 (define @t89 () (lambda @t54 (forall @t39 @t88))) % 2.23/2.49 (define @t90 () (_ tptp.r @t7)) % 2.23/2.49 (define @t91 () (or @t80 @t90)) % 2.23/2.49 (define @t92 () (lambda @t84 (_ tptp.r @t22))) % 2.23/2.49 (define @t93 () (_ @t92 @t7)) % 2.23/2.49 (define @t94 () (or @t80 @t93)) % 2.23/2.49 (define @t95 () (forall @t29 @t94)) % 2.23/2.49 (define @t96 () (or @t83 @t95)) % 2.23/2.49 (define @t97 () (lambda @t84 @t96)) % 2.23/2.49 (define @t98 () (_ @t41 @t7)) % 2.23/2.49 (define @t99 () (forall @t29 (or @t80 @t98))) % 2.23/2.49 (define @t100 () (@list @t41 @t22)) % 2.23/2.49 (define @t101 () (_ tptp.q @t7)) % 2.23/2.49 (define @t102 () (or @t80 @t101)) % 2.23/2.49 (define @t103 () (_ tptp.q @t22)) % 2.23/2.49 (define @t104 () (lambda @t84 @t103)) % 2.23/2.49 (define @t105 () (_ @t104 @t7)) % 2.23/2.49 (define @t106 () (or @t80 @t105)) % 2.23/2.49 (define @t107 () (forall @t29 @t106)) % 2.23/2.49 (define @t108 () (not @t107)) % 2.23/2.49 (define @t109 () (or @t108 @t99)) % 2.23/2.49 (define @t110 () (lambda @t100 @t109)) % 2.23/2.49 (define @t111 () (_ @t27 @t7)) % 2.23/2.49 (define @t112 () (forall @t29 (or @t80 @t111))) % 2.23/2.49 (define @t113 () (not @t112)) % 2.23/2.49 (define @t114 () (or @t113 @t99)) % 2.23/2.49 (define @t115 () (lambda @t42 @t114)) % 2.23/2.49 (define @t116 () (_ @t35 tptp.q)) % 2.23/2.49 (define @t117 () (lambda @t84 @t114)) % 2.23/2.49 (define @t118 () (_ @t117 @t22)) % 2.23/2.49 (define @t119 () (tptp.irel @t1 @t7)) % 2.23/2.49 (define @t120 () (not @t119)) % 2.23/2.49 (define @t121 () (lambda @t4 (forall @t29 (or @t120 @t98)))) % 2.23/2.49 (define @t122 () (_ @t121 @t22)) % 2.23/2.49 (define @t123 () (or @t113 @t122)) % 2.23/2.49 (define @t124 () (lambda @t84 @t123)) % 2.23/2.49 (define @t125 () (_ @t23 @t22)) % 2.23/2.49 (define @t126 () (@list @t23 @t22)) % 2.23/2.49 (define @t127 () (forall @t29 (or @t120 @t111))) % 2.23/2.49 (define @t128 () (lambda @t31 @t127)) % 2.23/2.49 (define @t129 () (lambda @t4 @t127)) % 2.23/2.49 (define @t130 () (_ @t129 @t22)) % 2.23/2.49 (define @t131 () (not @t130)) % 2.23/2.49 (define @t132 () (or @t131 @t125)) % 2.23/2.49 (define @t133 () (lambda @t126 @t132)) % 2.23/2.49 (define @t134 () (or (not (_ @t24 @t22)) @t125)) % 2.23/2.49 (define @t135 () (lambda @t25 @t134)) % 2.23/2.49 (define @t136 () (not @t8)) % 2.23/2.49 (define @t137 () (or @t136 @t28)) % 2.23/2.49 (define @t138 () (not (_ @t24 @t13))) % 2.23/2.49 (define @t139 () (@list @t13)) % 2.23/2.49 (define @t140 () (lambda @t139 (or @t138 (_ @t23 @t13)))) % 2.23/2.49 (define @t141 () (@list @t17 @t13)) % 2.23/2.49 (define @t142 () (lambda @t139 @t138)) % 2.23/2.49 (define @t143 () (_ @t142 @t13)) % 2.23/2.49 (define @t144 () (or @t143 @t18)) % 2.23/2.50 (define @t145 () (lambda @t141 @t144)) % 2.23/2.50 (define @t146 () (@var "BOUND_VARIABLE_8141" $$unsorted)) % 2.23/2.50 (define @t147 () (and (tptp.p @t146) (tptp.q @t146))) % 2.23/2.50 (define @t148 () (not (tptp.irel @t38 @t146))) % 2.23/2.50 (define @t149 () (not @t78)) % 2.23/2.50 (define @t150 () (or @t148 @t147)) % 2.23/2.50 (define @t151 () (or @t149 @t150)) % 2.23/2.50 (define @t152 () (forall (@list @t38 @t146) @t151)) % 2.23/2.50 (define @t153 () (@list @t146)) % 2.23/2.50 (define @t154 () (forall @t153 @t151)) % 2.23/2.50 (define @t155 () (forall @t153 @t150)) % 2.23/2.50 (define @t156 () (or @t149 @t155)) % 2.23/2.50 (define @t157 () (tptp.p @t7)) % 2.23/2.50 (define @t158 () (and @t157 @t63)) % 2.23/2.50 (define @t159 () (or @t149 (forall @t29 (or @t64 @t158)))) % 2.23/2.50 (define @t160 () (not @t81)) % 2.23/2.50 (define @t161 () (lambda @t84 (or @t160 (forall @t29 (or @t80 @t158))))) % 2.23/2.50 (define @t162 () (_ @t161 @t38)) % 2.23/2.50 (define @t163 () (forall @t39 @t162)) % 2.23/2.50 (define @t164 () (_ tptp.p @t7)) % 2.23/2.50 (define @t165 () (and @t164 @t101)) % 2.23/2.50 (define @t166 () (or @t80 @t165)) % 2.23/2.50 (define @t167 () (_ tptp.p @t22)) % 2.23/2.50 (define @t168 () (lambda @t84 (and @t167 @t103))) % 2.23/2.50 (define @t169 () (_ @t168 @t7)) % 2.23/2.50 (define @t170 () (or @t80 @t169)) % 2.23/2.50 (define @t171 () (forall @t29 @t170)) % 2.23/2.50 (define @t172 () (or @t160 @t171)) % 2.23/2.50 (define @t173 () (lambda @t84 @t172)) % 2.23/2.50 (define @t174 () (_ @t104 @t22)) % 2.23/2.50 (define @t175 () (and @t167 @t174)) % 2.23/2.50 (define @t176 () (lambda @t84 @t175)) % 2.23/2.50 (define @t177 () (_ @t41 @t22)) % 2.23/2.50 (define @t178 () (lambda @t84 @t167)) % 2.23/2.50 (define @t179 () (_ @t178 @t22)) % 2.23/2.50 (define @t180 () (and @t179 @t177)) % 2.23/2.50 (define @t181 () (lambda @t100 @t180)) % 2.23/2.50 (define @t182 () (and @t33 @t177)) % 2.23/2.50 (define @t183 () (lambda @t42 @t182)) % 2.23/2.50 (define @t184 () (_ @t35 tptp.p)) % 2.23/2.50 (define @t185 () (not @t95)) % 2.23/2.50 (define @t186 () (or @t185 @t99)) % 2.23/2.50 (define @t187 () (lambda @t100 @t186)) % 2.23/2.50 (define @t188 () (_ @t27 @t13)) % 2.23/2.50 (define @t189 () (lambda @t139 (and @t188 (_ @t41 @t13)))) % 2.23/2.50 (define @t190 () (lambda @t141 (and @t188 @t18))) % 2.23/2.50 (define @t191 () (@var "BOUND_VARIABLE_8338" $$unsorted)) % 2.23/2.50 (define @t192 () (tptp.p @t191)) % 2.23/2.50 (define @t193 () (@var "BOUND_VARIABLE_8314" $$unsorted)) % 2.23/2.50 (define @t194 () (not (tptp.irel @t193 @t191))) % 2.23/2.50 (define @t195 () (not (tptp.irel @t193 @t7))) % 2.23/2.50 (define @t196 () (not (forall @t29 (or @t195 @t63)))) % 2.23/2.50 (define @t197 () (or @t196 @t194 @t192)) % 2.23/2.50 (define @t198 () (@list @t193 @t191)) % 2.23/2.50 (define @t199 () (forall @t198 @t197)) % 2.23/2.50 (define @t200 () (@quantifiers_skolemize @t199 1)) % 2.23/2.50 (define @t201 () (@quantifiers_skolemize @t199 0)) % 2.23/2.50 (define @t202 () (@var "BOUND_VARIABLE_8327" $$unsorted)) % 2.23/2.50 (define @t203 () (tptp.q @t202)) % 2.23/2.50 (define @t204 () (@var "BOUND_VARIABLE_8302" $$unsorted)) % 2.23/2.50 (define @t205 () (not (tptp.irel @t204 @t202))) % 2.23/2.50 (define @t206 () (not (tptp.irel @t204 @t7))) % 2.23/2.50 (define @t207 () (not (forall @t29 (or @t206 @t157)))) % 2.23/2.50 (define @t208 () (or @t207 @t205 @t203)) % 2.23/2.50 (define @t209 () (@list @t204 @t202)) % 2.23/2.50 (define @t210 () (forall @t209 @t208)) % 2.23/2.50 (define @t211 () (@quantifiers_skolemize @t210 0)) % 2.23/2.50 (define @t212 () (not (tptp.irel @t211 @t7))) % 2.23/2.50 (define @t213 () (forall @t29 (or @t212 @t157))) % 2.23/2.50 (define @t214 () (@quantifiers_skolemize @t210 1)) % 2.23/2.50 (define @t215 () (tptp.q @t214)) % 2.23/2.50 (define @t216 () (tptp.irel @t211 @t214)) % 2.23/2.50 (define @t217 () (not @t216)) % 2.23/2.50 (define @t218 () (not @t213)) % 2.23/2.50 (define @t219 () (or @t218 @t217 @t215)) % 2.23/2.50 (define @t220 () (and (tptp.p @t214) @t215)) % 2.23/2.50 (define @t221 () (forall @t29 (or @t212 @t77))) % 2.23/2.50 (define @t222 () (not @t221)) % 2.23/2.50 (define @t223 () (or @t222 @t217 @t220)) % 2.23/2.50 (define @t224 () (@quantifiers_skolemize @t221 0)) % 2.23/2.50 (define @t225 () (tptp.r @t224)) % 2.23/2.50 (define @t226 () (tptp.irel @t211 @t224)) % 2.23/2.50 (define @t227 () (not @t226)) % 2.23/2.50 (define @t228 () (or @t227 @t225)) % 2.23/2.50 (define @t229 () (not @t228)) % 2.23/2.50 (define @t230 () (tptp.irel @t1 @t1)) % 2.23/2.50 (define @t231 () (@var "BOUND_VARIABLE_8257" $$unsorted)) % 2.23/2.50 (define @t232 () (tptp.r @t231)) % 2.23/2.50 (define @t233 () (@var "BOUND_VARIABLE_8253" $$unsorted)) % 2.23/2.50 (define @t234 () (not (tptp.irel @t233 @t231))) % 2.23/2.50 (define @t235 () (@var "BOUND_VARIABLE_8255" $$unsorted)) % 2.23/2.50 (define @t236 () (tptp.q @t235)) % 2.23/2.50 (define @t237 () (not (tptp.irel @t233 @t235))) % 2.23/2.50 (define @t238 () (not (tptp.irel @t38 @t233))) % 2.23/2.50 (define @t239 () (forall @t29 (or @t64 @t157))) % 2.23/2.50 (define @t240 () (not @t239)) % 2.23/2.50 (define @t241 () (or @t238 @t237 @t236 @t234 @t232)) % 2.23/2.50 (define @t242 () (or @t240 @t241)) % 2.23/2.50 (define @t243 () (forall (@list @t38 @t233 @t235 @t231) @t242)) % 2.23/2.50 (define @t244 () (@list @t233 @t235 @t231)) % 2.23/2.50 (define @t245 () (forall @t244 @t242)) % 2.23/2.50 (define @t246 () (forall @t244 @t241)) % 2.23/2.50 (define @t247 () (@var "BOUND_VARIABLE_8230" $$unsorted)) % 2.23/2.50 (define @t248 () (@var "BOUND_VARIABLE_8224" $$unsorted)) % 2.23/2.50 (define @t249 () (or @t240 @t246)) % 2.23/2.50 (define @t250 () (tptp.r @t247)) % 2.23/2.50 (define @t251 () (not (tptp.irel @t7 @t247))) % 2.23/2.50 (define @t252 () (tptp.q @t248)) % 2.23/2.50 (define @t253 () (not (tptp.irel @t7 @t248))) % 2.23/2.50 (define @t254 () (@list @t7 @t248 @t247)) % 2.23/2.50 (define @t255 () (or @t240 (forall @t254 (or @t64 @t253 @t252 @t251 @t250)))) % 2.23/2.50 (define @t256 () (or @t80 @t253 @t252 @t251 @t250)) % 2.23/2.50 (define @t257 () (forall @t29 (or @t80 @t157))) % 2.23/2.50 (define @t258 () (not @t257)) % 2.23/2.50 (define @t259 () (lambda @t84 (or @t258 (forall @t254 @t256)))) % 2.23/2.50 (define @t260 () (_ @t259 @t38)) % 2.23/2.50 (define @t261 () (forall @t39 @t260)) % 2.23/2.50 (define @t262 () (or @t251 @t250)) % 2.23/2.50 (define @t263 () (or @t253 @t252)) % 2.23/2.50 (define @t264 () (or @t80 @t263 @t262)) % 2.23/2.50 (define @t265 () (forall @t254 @t264)) % 2.23/2.50 (define @t266 () (forall (@list @t248 @t247) @t264)) % 2.23/2.50 (define @t267 () (forall (@list @t247) @t262)) % 2.23/2.50 (define @t268 () (@var "BOUND_VARIABLE_8193" $$unsorted)) % 2.23/2.50 (define @t269 () (@list @t268)) % 2.23/2.50 (define @t270 () (forall (@list @t248) @t263)) % 2.23/2.50 (define @t271 () (@var "BOUND_VARIABLE_8201" $$unsorted)) % 2.23/2.50 (define @t272 () (@list @t271)) % 2.23/2.50 (define @t273 () (or @t80 @t270 @t267)) % 2.23/2.50 (define @t274 () (tptp.r @t268)) % 2.23/2.50 (define @t275 () (@list @t268)) % 2.23/2.50 (define @t276 () (forall @t275 (or (not (tptp.irel @t7 @t268)) @t274))) % 2.23/2.50 (define @t277 () (tptp.q @t271)) % 2.23/2.50 (define @t278 () (@list @t271)) % 2.23/2.50 (define @t279 () (forall @t278 (or (not (tptp.irel @t7 @t271)) @t277))) % 2.23/2.50 (define @t280 () (or @t80 @t279 @t276)) % 2.23/2.50 (define @t281 () (or @t279 @t276)) % 2.23/2.50 (define @t282 () (or @t82 @t81)) % 2.23/2.50 (define @t283 () (lambda @t84 @t282)) % 2.23/2.50 (define @t284 () (or @t80 (_ @t283 @t7))) % 2.23/2.50 (define @t285 () (forall @t29 @t284)) % 2.23/2.50 (define @t286 () (or @t258 @t285)) % 2.23/2.50 (define @t287 () (lambda @t84 @t286)) % 2.23/2.50 (define @t288 () (or @t258 @t99)) % 2.23/2.50 (define @t289 () (or @t82 @t95)) % 2.23/2.50 (define @t290 () (lambda @t84 @t289)) % 2.23/2.50 (define @t291 () (or @t107 @t99)) % 2.23/2.50 (define @t292 () (lambda @t100 @t291)) % 2.23/2.50 (define @t293 () (or @t112 @t99)) % 2.23/2.50 (define @t294 () (lambda @t42 @t293)) % 2.23/2.50 (define @t295 () (or @t80 @t164)) % 2.23/2.50 (define @t296 () (_ @t178 @t7)) % 2.23/2.50 (define @t297 () (or @t80 @t296)) % 2.23/2.50 (define @t298 () (forall @t29 @t297)) % 2.23/2.50 (define @t299 () (not @t298)) % 2.23/2.50 (define @t300 () (or @t299 @t99)) % 2.23/2.50 (define @t301 () (lambda @t100 @t300)) % 2.23/2.50 (define @t302 () (not (tptp.irel @t13 @t7))) % 2.23/2.50 (define @t303 () (forall @t29 (or @t302 @t98))) % 2.23/2.50 (define @t304 () (forall @t29 (or @t302 @t111))) % 2.23/2.50 (define @t305 () (_ @t121 @t13)) % 2.23/2.50 (define @t306 () (or @t304 @t305)) % 2.23/2.50 (define @t307 () (lambda @t139 @t306)) % 2.23/2.50 (define @t308 () (_ @t129 @t13)) % 2.23/2.50 (define @t309 () (or @t308 @t18)) % 2.23/2.50 (define @t310 () (lambda @t141 @t309)) % 2.23/2.50 (define @t311 () (tptp.irel @t211 @t211)) % 2.23/2.50 (define @t312 () (not @t311)) % 2.23/2.50 (define @t313 () (or @t218 @t312 @t217 @t215 @t227 @t225)) % 2.23/2.50 (define @t314 () (not @t219)) % 2.23/2.50 (define @t315 () (not @t210)) % 2.23/2.50 (define @t316 () (@list false)) % 2.23/2.50 (define @t317 () (or @t194 @t192)) % 2.23/2.50 (define @t318 () (or @t196 @t317)) % 2.23/2.50 (define @t319 () (forall @t198 @t318)) % 2.23/2.50 (define @t320 () (@list @t191)) % 2.23/2.50 (define @t321 () (forall @t320 @t318)) % 2.23/2.50 (define @t322 () (@list @t193)) % 2.23/2.50 (define @t323 () (forall @t320 @t317)) % 2.23/2.50 (define @t324 () (or @t196 @t323)) % 2.23/2.50 (define @t325 () (forall @t322 (or @t196 (forall @t29 (or @t195 @t157))))) % 2.23/2.50 (define @t326 () (or @t205 @t203)) % 2.23/2.50 (define @t327 () (or @t207 @t326)) % 2.23/2.50 (define @t328 () (forall @t209 @t327)) % 2.23/2.50 (define @t329 () (@list @t202)) % 2.23/2.50 (define @t330 () (forall @t329 @t327)) % 2.23/2.50 (define @t331 () (@list @t204)) % 2.23/2.50 (define @t332 () (forall @t329 @t326)) % 2.23/2.50 (define @t333 () (or @t207 @t332)) % 2.23/2.50 (define @t334 () (forall @t331 (or @t207 (forall @t29 (or @t206 @t63))))) % 2.23/2.50 (define @t335 () (or @t66 @t239)) % 2.23/2.50 (define @t336 () (forall @t39 @t335)) % 2.23/2.50 (define @t337 () (@list @t38)) % 2.23/2.50 (define @t338 () (or @t240 @t65)) % 2.23/2.50 (define @t339 () (forall @t39 @t338)) % 2.23/2.50 (define @t340 () (and @t339 @t336)) % 2.23/2.50 (define @t341 () (and @t338 @t335)) % 2.23/2.50 (define @t342 () (lambda @t84 (and (or @t258 @t82) (or @t83 @t257)))) % 2.23/2.50 (define @t343 () (_ @t342 @t38)) % 2.23/2.50 (define @t344 () (forall @t39 @t343)) % 2.23/2.50 (define @t345 () (or @t108 @t257)) % 2.23/2.50 (define @t346 () (or @t258 @t107)) % 2.23/2.50 (define @t347 () (and @t346 @t345)) % 2.23/2.50 (define @t348 () (lambda @t84 @t347)) % 2.23/2.50 (define @t349 () (not @t99)) % 2.23/2.50 (define @t350 () (or @t349 @t298)) % 2.23/2.50 (define @t351 () (and @t300 @t350)) % 2.23/2.50 (define @t352 () (lambda @t100 @t351)) % 2.23/2.50 (define @t353 () (or @t349 @t112)) % 2.23/2.50 (define @t354 () (and @t114 @t353)) % 2.23/2.50 (define @t355 () (lambda @t42 @t354)) % 2.23/2.50 (define @t356 () (lambda @t84 @t353)) % 2.23/2.50 (define @t357 () (_ @t356 @t22)) % 2.23/2.50 (define @t358 () (and @t114 @t357)) % 2.23/2.50 (define @t359 () (lambda @t84 @t358)) % 2.23/2.50 (define @t360 () (@var "BOUND_VARIABLE_7728" (-> $$unsorted Bool))) % 2.23/2.50 (define @t361 () (_ @t360 @t22)) % 2.23/2.50 (define @t362 () (@list @t360 @t22)) % 2.23/2.50 (define @t363 () (@var "BOUND_VARIABLE_7685" (-> $$unsorted Bool))) % 2.23/2.50 (define @t364 () (forall @t29 (or @t80 (_ @t363 @t7)))) % 2.23/2.50 (define @t365 () (lambda (@list @t363 @t22) (or @t349 @t364))) % 2.23/2.50 (define @t366 () (@list @t41)) % 2.23/2.50 (define @t367 () (and @t118 @t361)) % 2.23/2.50 (define @t368 () (lambda @t362 @t367)) % 2.23/2.50 (define @t369 () (lambda @t100 @t114)) % 2.23/2.50 (define @t370 () (not @t199)) % 2.23/2.50 (define @t371 () (tptp.p @t200)) % 2.23/2.50 (define @t372 () (tptp.irel @t201 @t200)) % 2.23/2.50 (define @t373 () (not @t372)) % 2.23/2.50 (define @t374 () (not (tptp.irel @t201 @t7))) % 2.23/2.50 (define @t375 () (forall @t29 (or @t374 @t63))) % 2.23/2.50 (define @t376 () (not @t375)) % 2.23/2.50 (define @t377 () (or @t376 @t373 @t371)) % 2.23/2.50 (define @t378 () (not @t377)) % 2.23/2.50 (define @t379 () (@list true)) % 2.23/2.50 (define @t380 () (@list @t377)) % 2.23/2.50 (define @t381 () (and @t371 (tptp.q @t200))) % 2.23/2.50 (define @t382 () (not @t381)) % 2.23/2.50 (define @t383 () (forall @t29 (or @t374 @t77))) % 2.23/2.50 (define @t384 () (not @t383)) % 2.23/2.50 (define @t385 () (or @t384 @t373 @t381)) % 2.23/2.50 (define @t386 () (@quantifiers_skolemize @t383 0)) % 2.23/2.50 (define @t387 () (tptp.r @t386)) % 2.23/2.50 (define @t388 () (tptp.irel @t201 @t386)) % 2.23/2.50 (define @t389 () (not @t388)) % 2.23/2.50 (define @t390 () (or @t389 @t387)) % 2.23/2.50 (define @t391 () (not @t390)) % 2.23/2.50 (define @t392 () (@list @t390)) % 2.23/2.50 (define @t393 () (or @t376 @t389 @t387)) % 2.23/2.50 (define @t394 () (not @t393)) % 2.23/2.50 (define @t395 () (forall @t70 @t67)) % 2.23/2.50 (assume @p1 @t5) % 2.23/2.50 (assume @p2 (forall (@list @t1 @t7 @t6) (=> (and @t8 (_ (_ tptp.irel @t7) @t6)) (_ @t2 @t6)))) % 2.23/2.50 (assume @p3 (= tptp.ifalse (_ tptp.inot tptp.itrue))) % 2.23/2.50 (assume @p4 (_ tptp.ivalid (_ (_ tptp.iimplies @t10) @t9))) % 2.23/2.50 (assume @p5 (_ tptp.ivalid (_ (_ tptp.iimplies @t9) (_ (_ tptp.iand @t11) @t10)))) % 2.23/2.50 (assume @p6 (_ tptp.ivalid (_ (_ tptp.iimplies @t11) (_ (_ tptp.ior @t10) @t9)))) % 2.23/2.50 (assume @p7 @t12) % 2.23/2.50 (assume @p8 true) % 2.23/2.50 (step @p9 (= tptp.mnot @t16) :rule refl :args (@t16)) % 2.23/2.50 (step @p10 (= tptp.mor @t20) :rule refl :args (@t20)) % 2.23/2.50 (step @p11 (= tptp.mand @t21) :rule refl :args (@t21)) % 2.23/2.50 (step @p12 (= tptp.mimplies @t26) :rule refl :args (@t26)) % 2.23/2.50 (step @p13 (= tptp.mbox_s4 @t32) :rule refl :args (@t32)) % 2.23/2.50 (step @p14 (= tptp.iatom @t35) :rule refl :args (@t35)) % 2.23/2.50 (step @p15 (= tptp.inot @t37) :rule refl :args (@t37)) % 2.23/2.50 (step @p16 (= tptp.itrue @t40) :rule refl :args (@t40)) % 2.23/2.50 (step @p17 (= tptp.iand @t43) :rule refl :args (@t43)) % 2.23/2.50 (step @p18 (= tptp.ior @t45) :rule refl :args (@t45)) % 2.23/2.50 (step @p19 (= tptp.iimplies @t46) :rule refl :args (@t46)) % 2.23/2.50 (step @p20 (= tptp.iimplied @t48) :rule refl :args (@t48)) % 2.23/2.50 (step @p21 (= tptp.iequiv @t49) :rule refl :args (@t49)) % 2.23/2.50 (step @p22 (= tptp.ixor @t50) :rule refl :args (@t50)) % 2.23/2.50 (step @p23 (= tptp.ivalid @t55) :rule refl :args (@t55)) % 2.23/2.50 (step @p24 (= tptp.isatisfiable @t56) :rule refl :args (@t56)) % 2.23/2.50 (step @p25 (= tptp.icountersatisfiable @t58) :rule refl :args (@t58)) % 2.23/2.50 (step @p26 (= tptp.iinvalid @t59) :rule refl :args (@t59)) % 2.23/2.50 (step @p27 :rule aci_norm :args ((= @t69 @t67))) % 2.23/2.50 (step @p28 :rule cong :premises (@p27) :args (@t71)) % 2.23/2.50 (step @p29 :rule quant-merge-prenex :args ((= (forall @t39 @t73) @t71))) % 2.23/2.50 (step @p30 :rule alpha_equiv :args (@t74 (@list @t60) @t75)) % 2.23/2.50 (step @p31 :rule refl :args (@t66)) % 2.23/2.50 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t76)) % 2.23/2.50 (step @p33 :rule quant-miniscope-or :args ((= @t73 @t76))) % 2.23/2.50 (step @p34 :rule trans :premises (@p33 @p32)) % 2.23/2.50 (step @p35 :rule symm :premises (@p34)) % 2.23/2.50 (step @p36 :rule cong :premises (@p35) :args ((forall @t39 @t79))) % 2.23/2.50 (step @p37 :rule trans :premises (@p36 @p29)) % 2.23/2.50 (step @p38 :rule trans :premises (@p37 @p28)) % 2.23/2.50 (step @p39 :rule beta-reduce :args ((= @t86 @t79))) % 2.23/2.50 (step @p40 :rule cong :premises (@p39) :args (@t87)) % 2.23/2.50 (step @p41 :rule trans :premises (@p40 @p38)) % 2.23/2.50 (step @p42 :rule beta-reduce :args ((= (_ @t89 @t85) @t87))) % 2.23/2.50 (step @p43 :rule trans :premises (@p42 @p41)) % 2.23/2.50 (step @p44 :rule refl :args (@t77)) % 2.23/2.50 (step @p45 :rule refl :args (@t90)) % 2.23/2.50 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t90 @t77))) % 2.23/2.50 (step @p47 :rule symm :premises (@p46)) % 2.23/2.50 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 2.23/2.50 (step @p49 :rule refl :args (@t80)) % 2.23/2.50 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t91)) % 2.23/2.50 (step @p51 :rule cong :premises (@p50) :args ((forall @t29 @t91))) % 2.23/2.50 (step @p52 :rule beta-reduce :args ((= @t93 @t90))) % 2.23/2.50 (step @p53 :rule refl :args (@t80)) % 2.23/2.50 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t94)) % 2.23/2.50 (step @p55 :rule cong :premises (@p54) :args (@t95)) % 2.23/2.50 (step @p56 :rule trans :premises (@p55 @p51)) % 2.23/2.50 (step @p57 :rule refl :args (@t83)) % 2.23/2.50 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t96)) % 2.23/2.50 (step @p59 :rule cong :premises (@p58) :args (@t97)) % 2.23/2.50 (step @p60 :rule beta-reduce :args ((= (_ (lambda @t100 (or @t83 @t99)) @t92) @t97))) % 2.23/2.50 (step @p61 :rule trans :premises (@p60 @p59)) % 2.23/2.50 (step @p62 :rule beta-reduce :args ((= (_ @t35 tptp.r) @t92))) % 2.23/2.50 (step @p63 :rule refl :args (@t99)) % 2.23/2.50 (step @p64 :rule refl :args (@t63)) % 2.23/2.50 (step @p65 :rule refl :args (@t101)) % 2.23/2.50 (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t101 @t63))) % 2.23/2.50 (step @p67 :rule symm :premises (@p66)) % 2.23/2.50 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 2.23/2.50 (step @p69 :rule nary_cong :premises (@p49 @p68) :args (@t102)) % 2.23/2.50 (step @p70 :rule cong :premises (@p69) :args ((forall @t29 @t102))) % 2.23/2.50 (step @p71 :rule beta-reduce :args ((= @t105 @t101))) % 2.23/2.50 (step @p72 :rule nary_cong :premises (@p53 @p71) :args (@t106)) % 2.23/2.50 (step @p73 :rule cong :premises (@p72) :args (@t107)) % 2.23/2.50 (step @p74 :rule trans :premises (@p73 @p70)) % 2.23/2.50 (step @p75 :rule 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skolemize :premises (@p605)) % 0.35/2.50 (step-pop @p606 :rule scope :premises (@p546)) % 0.35/2.50 (step @p547 :rule process_scope :premises (@p606) :args (@t378)) % 0.35/2.50 (step @p549 :rule implies_elim :premises (@p547)) % 0.35/2.50 (step @p550 :rule eq_resolve :premises (@p549 @p544)) % 0.35/2.50 (step @p551 :rule chain_m_resolution :premises (@p550 @p541) :args (@t378 @t379 (@list @t199))) % 0.35/2.50 (step @p552 :rule cnf_or_neg :args (@t377 2)) % 0.35/2.50 (step @p553 :rule chain_m_resolution :premises (@p552 @p551) :args ((not @t371) @t379 @t380)) % 0.35/2.50 (step @p554 :rule cnf_and_pos :args (@t381 0)) % 0.35/2.50 (step @p555 :rule reordering :premises (@p554) :args ((or @t371 @t382))) % 0.35/2.50 (step @p556 :rule chain_m_resolution :premises (@p555 @p553) :args (@t382 @t379 (@list @t371))) % 0.35/2.50 (step @p557 :rule bool-double-not-elim :args (@t372)) % 0.35/2.50 (step @p558 :rule refl :args (@t377)) % 0.35/2.50 (step @p559 :rule nary_cong :premises (@p558 @p557) :args ((or @t377 (not @t373)))) % 0.35/2.50 (step @p560 :rule cnf_or_neg :args (@t377 1)) % 0.35/2.50 (step @p561 :rule eq_resolve :premises (@p560 @p559)) % 0.35/2.50 (step @p562 :rule reordering :premises (@p561) :args ((or @t372 @t377))) % 0.35/2.50 (step @p563 :rule chain_m_resolution :premises (@p562 @p551) :args (@t372 @t379 @t380)) % 0.35/2.50 (step @p564 :rule cnf_or_pos :args (@t385)) % 0.35/2.50 (step @p565 :rule reordering :premises (@p564) :args ((or @t373 @t384 @t381 (not @t385)))) % 0.35/2.50 (step @p566 :rule chain_m_resolution :premises (@p565 @p563 @p556 @p268) :args (@t384 (@list false true false) (@list @t372 @t381 @t385))) % 0.35/2.50 (step @p567 :rule refl :args (@t391)) % 0.35/2.50 (step @p568 :rule bool-double-not-elim :args (@t383)) % 0.35/2.50 (step @p569 :rule nary_cong :premises (@p568 @p567) :args ((or (not @t384) @t391))) % 0.35/2.50 (assume-push @p607 @t384) % 0.35/2.50 (step @p571 :rule skolemize :premises (@p607)) % 0.35/2.50 (step-pop @p608 :rule scope :premises (@p571)) % 0.35/2.50 (step @p572 :rule process_scope :premises (@p608) :args (@t391)) % 0.35/2.50 (step @p574 :rule implies_elim :premises (@p572)) % 0.35/2.50 (step @p575 :rule eq_resolve :premises (@p574 @p569)) % 0.35/2.50 (step @p576 :rule chain_m_resolution :premises (@p575 @p566) :args (@t391 @t379 (@list @t383))) % 0.35/2.50 (step @p577 :rule cnf_or_neg :args (@t390 1)) % 0.35/2.50 (step @p578 :rule chain_m_resolution :premises (@p577 @p576) :args ((not @t387) @t379 @t392)) % 0.35/2.50 (step @p579 :rule bool-double-not-elim :args (@t388)) % 0.35/2.50 (step @p580 :rule refl :args (@t390)) % 0.35/2.50 (step @p581 :rule nary_cong :premises (@p580 @p579) :args ((or @t390 (not @t389)))) % 0.35/2.50 (step @p582 :rule cnf_or_neg :args (@t390 0)) % 0.35/2.50 (step @p583 :rule eq_resolve :premises (@p582 @p581)) % 0.35/2.50 (step @p584 :rule reordering :premises (@p583) :args ((or @t388 @t390))) % 0.35/2.50 (step @p585 :rule chain_m_resolution :premises (@p584 @p576) :args (@t388 @t379 @t392)) % 0.35/2.50 (step @p586 :rule bool-double-not-elim :args (@t375)) % 0.35/2.50 (step @p587 :rule nary_cong :premises (@p558 @p586) :args ((or @t377 (not @t376)))) % 0.35/2.50 (step @p588 :rule cnf_or_neg :args (@t377 0)) % 0.35/2.50 (step @p589 :rule eq_resolve :premises (@p588 @p587)) % 0.35/2.50 (step @p590 :rule reordering :premises (@p589) :args ((or @t375 @t377))) % 0.35/2.50 (step @p591 :rule chain_m_resolution :premises (@p590 @p551) :args (@t375 @t379 @t380)) % 0.35/2.50 (step @p592 :rule cnf_or_pos :args (@t393)) % 0.35/2.50 (step @p593 :rule reordering :premises (@p592) :args ((or @t376 @t389 @t387 @t394))) % 0.35/2.50 (step @p594 :rule chain_m_resolution :premises (@p593 @p591 @p585 @p578) :args (@t394 (@list false false true) (@list @t375 @t388 @t387))) % 0.35/2.50 (assume-push @p609 @t395) % 0.35/2.50 (step @p596 :rule instantiate :premises (@p182) :args ((@list @t201 @t386))) % 0.35/2.50 (step-pop @p610 :rule scope :premises (@p596)) % 0.35/2.50 (step @p597 :rule process_scope :premises (@p610) :args (@t393)) % 0.35/2.50 (step @p599 :rule implies_elim :premises (@p597)) % 0.35/2.50 (step @p600 false :rule chain_m_resolution :premises (@p599 @p594 @p182) :args (false (@list true false) (@list @t393 @t395))) % 0.35/2.50 ) % 0.35/2.50 % SZS output end Proof % 0.35/2.50 % cvc5 exiting %------------------------------------------------------------------------------