%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO060^4 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 09:11:54 AM UTC 2026 % Result : Theorem 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO060^4 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.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 23:52:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.37/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.61 % SZS status Theorem % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort $$unsorted 0) % 0.37/0.61 (declare-const tptp.irel (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.a (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.b (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.ifalse (-> $$unsorted Bool)) % 0.37/0.61 (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)))))) % 0.37/0.61 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.61 (define tptp.mand () (let ((_let_1 (@var "U" $$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))))))) % 0.37/0.61 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.61 (define tptp.mbox_s4 () (let ((_let_1 (@var "Y" $$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)))))))) % 0.37/0.61 (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))))) % 0.37/0.61 (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))))) % 0.37/0.61 (define tptp.itrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.37/0.61 (define tptp.iand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.61 (define tptp.ior () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1)))))) % 0.37/0.61 (define tptp.iimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.61 (define tptp.iimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iimplies _let_3) _let_2) _let_1)))))) % 0.37/0.61 (define tptp.iequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.61 (define tptp.ixor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.inot (_ (_ tptp.iequiv _let_3) _let_2)) _let_1)))))) % 0.37/0.61 (define tptp.ivalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.61 (define tptp.isatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.61 (define tptp.icountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.61 (define tptp.iinvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.61 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.61 (define @t2 () (_ tptp.irel @t1)) % 0.37/0.61 (define @t3 () (@list @t1)) % 0.37/0.61 (define @t4 () (@var "Z" $$unsorted)) % 0.37/0.61 (define @t5 () (@var "Y" $$unsorted)) % 0.37/0.61 (define @t6 () (_ @t2 @t5)) % 0.37/0.61 (define @t7 () (_ tptp.inot (_ tptp.iatom tptp.b))) % 0.37/0.61 (define @t8 () (_ tptp.inot (_ tptp.iatom tptp.a))) % 0.37/0.61 (define @t9 () (not (_ tptp.ivalid (_ (_ tptp.ior @t7) @t8)))) % 0.37/0.61 (define @t10 () (@var "U" $$unsorted)) % 0.37/0.61 (define @t11 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.61 (define @t12 () (_ @t11 @t10)) % 0.37/0.61 (define @t13 () (lambda (@list @t11 @t10) (not @t12))) % 0.37/0.61 (define @t14 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.61 (define @t15 () (_ @t14 @t10)) % 0.37/0.61 (define @t16 () (@list @t11 @t14 @t10)) % 0.37/0.61 (define @t17 () (lambda @t16 (or @t12 @t15))) % 0.37/0.61 (define @t18 () (lambda @t16 (and @t12 @t15))) % 0.37/0.61 (define @t19 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.61 (define @t20 () (@var "V" (-> $$unsorted Bool))) % 0.37/0.61 (define @t21 () (@var "U" (-> $$unsorted Bool))) % 0.37/0.61 (define @t22 () (lambda (@list @t21 @t20 @t19) (_ (_ (_ tptp.mor (_ tptp.mnot @t21)) @t20) @t19))) % 0.37/0.61 (define @t23 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.61 (define @t24 () (_ @t23 @t5)) % 0.37/0.61 (define @t25 () (@list @t5)) % 0.37/0.61 (define @t26 () (forall @t25 (=> @t6 @t24))) % 0.37/0.61 (define @t27 () (@list @t23 @t1)) % 0.37/0.61 (define @t28 () (lambda @t27 @t26)) % 0.37/0.61 (define @t29 () (@list @t23 @t19)) % 0.37/0.61 (define @t30 () (lambda @t29 (_ @t23 @t19))) % 0.37/0.61 (define @t31 () (_ tptp.mbox_s4 @t23)) % 0.37/0.61 (define @t32 () (lambda @t29 (_ (_ tptp.mnot @t31) @t19))) % 0.37/0.61 (define @t33 () (@var "W" $$unsorted)) % 0.37/0.61 (define @t34 () (@list @t33)) % 0.37/0.61 (define @t35 () (lambda @t34 true)) % 0.37/0.61 (define @t36 () (@var "Q" (-> $$unsorted Bool))) % 0.37/0.61 (define @t37 () (@list @t23 @t36 @t19)) % 0.37/0.61 (define @t38 () (lambda @t37 (_ (_ (_ tptp.mand @t23) @t36) @t19))) % 0.37/0.61 (define @t39 () (_ tptp.mbox_s4 @t36)) % 0.37/0.61 (define @t40 () (lambda @t37 (_ (_ (_ tptp.mor @t31) @t39) @t19))) % 0.37/0.61 (define @t41 () (lambda @t37 (_ (_ (_ tptp.mimplies @t31) @t39) @t19))) % 0.37/0.61 (define @t42 () (_ (_ tptp.iimplies @t36) @t23)) % 0.37/0.61 (define @t43 () (lambda @t37 (_ @t42 @t19))) % 0.37/0.61 (define @t44 () (lambda @t37 (_ (_ (_ tptp.iand (_ (_ tptp.iimplies @t23) @t36)) @t42) @t19))) % 0.37/0.61 (define @t45 () (lambda @t37 (_ (_ tptp.inot (_ (_ tptp.iequiv @t23) @t36)) @t19))) % 0.37/0.61 (define @t46 () (@var "Phi" (-> $$unsorted Bool))) % 0.37/0.61 (define @t47 () (_ @t46 @t33)) % 0.37/0.61 (define @t48 () (forall @t34 @t47)) % 0.37/0.61 (define @t49 () (@list @t46)) % 0.37/0.61 (define @t50 () (lambda @t49 @t48)) % 0.37/0.61 (define @t51 () (lambda @t49 (exists @t34 @t47))) % 0.37/0.61 (define @t52 () (not @t47)) % 0.37/0.61 (define @t53 () (lambda @t49 (exists @t34 @t52))) % 0.37/0.61 (define @t54 () (lambda @t49 (forall @t34 @t52))) % 0.37/0.61 (define @t55 () (@var "BOUND_VARIABLE_8087" $$unsorted)) % 0.37/0.61 (define @t56 () (tptp.b @t55)) % 0.37/0.61 (define @t57 () (@var "BOUND_VARIABLE_8128" $$unsorted)) % 0.37/0.61 (define @t58 () (@list @t55)) % 0.37/0.61 (define @t59 () (not (forall @t58 (or (not (tptp.irel @t57 @t55)) @t56)))) % 0.37/0.61 (define @t60 () (not (tptp.irel @t33 @t57))) % 0.37/0.61 (define @t61 () (@var "BOUND_VARIABLE_8044" $$unsorted)) % 0.37/0.61 (define @t62 () (tptp.a @t61)) % 0.37/0.61 (define @t63 () (@var "BOUND_VARIABLE_8118" $$unsorted)) % 0.37/0.61 (define @t64 () (@list @t61)) % 0.37/0.61 (define @t65 () (not (forall @t64 (or (not (tptp.irel @t63 @t61)) @t62)))) % 0.37/0.61 (define @t66 () (not (tptp.irel @t33 @t63))) % 0.37/0.61 (define @t67 () (or @t66 @t65 @t60 @t59)) % 0.37/0.61 (define @t68 () (or @t60 @t59)) % 0.37/0.61 (define @t69 () (or @t66 @t65)) % 0.37/0.61 (define @t70 () (or @t69 @t68)) % 0.37/0.61 (define @t71 () (@list @t33 @t63 @t57)) % 0.37/0.61 (define @t72 () (forall @t71 @t70)) % 0.37/0.61 (define @t73 () (forall (@list @t63 @t57) @t70)) % 0.37/0.61 (define @t74 () (forall (@list @t57) @t68)) % 0.37/0.61 (define @t75 () (@list @t5)) % 0.37/0.61 (define @t76 () (forall (@list @t63) @t69)) % 0.37/0.61 (define @t77 () (or @t76 @t74)) % 0.37/0.61 (define @t78 () (not (forall @t58 (or (not (tptp.irel @t5 @t55)) @t56)))) % 0.37/0.61 (define @t79 () (not (tptp.irel @t33 @t5))) % 0.37/0.61 (define @t80 () (forall @t25 (or @t79 @t78))) % 0.37/0.61 (define @t81 () (not (forall @t64 (or (not (tptp.irel @t5 @t61)) @t62)))) % 0.37/0.61 (define @t82 () (forall @t25 (or @t79 @t81))) % 0.37/0.61 (define @t83 () (or @t82 @t80)) % 0.37/0.61 (define @t84 () (not (tptp.irel @t19 @t5))) % 0.37/0.61 (define @t85 () (forall @t25 (or @t84 @t78))) % 0.37/0.61 (define @t86 () (forall @t25 (or @t84 @t81))) % 0.37/0.61 (define @t87 () (@list @t19)) % 0.37/0.61 (define @t88 () (lambda @t87 (or @t86 @t85))) % 0.37/0.61 (define @t89 () (_ @t88 @t33)) % 0.37/0.61 (define @t90 () (forall @t34 @t89)) % 0.37/0.61 (define @t91 () (_ @t46 @t33)) % 0.37/0.61 (define @t92 () (lambda @t49 (forall @t34 @t91))) % 0.37/0.61 (define @t93 () (tptp.b @t5)) % 0.37/0.61 (define @t94 () (forall @t25 (or @t84 @t93))) % 0.37/0.61 (define @t95 () (not @t94)) % 0.37/0.61 (define @t96 () (lambda @t87 @t95)) % 0.37/0.61 (define @t97 () (or @t84 (_ @t96 @t5))) % 0.37/0.61 (define @t98 () (forall @t25 @t97)) % 0.37/0.61 (define @t99 () (or @t86 @t98)) % 0.37/0.61 (define @t100 () (lambda @t87 @t99)) % 0.37/0.61 (define @t101 () (_ @t36 @t5)) % 0.37/0.61 (define @t102 () (forall @t25 (or @t84 @t101))) % 0.37/0.61 (define @t103 () (@list @t36 @t19)) % 0.37/0.61 (define @t104 () (_ tptp.b @t5)) % 0.37/0.61 (define @t105 () (or @t84 @t104)) % 0.37/0.61 (define @t106 () (lambda @t87 (_ tptp.b @t19))) % 0.37/0.61 (define @t107 () (_ @t106 @t5)) % 0.37/0.61 (define @t108 () (or @t84 @t107)) % 0.37/0.61 (define @t109 () (forall @t25 @t108)) % 0.37/0.61 (define @t110 () (not @t109)) % 0.37/0.61 (define @t111 () (lambda @t87 @t110)) % 0.37/0.61 (define @t112 () (_ @t23 @t5)) % 0.37/0.61 (define @t113 () (forall @t25 (or @t84 @t112))) % 0.37/0.61 (define @t114 () (not @t113)) % 0.37/0.61 (define @t115 () (lambda @t29 @t114)) % 0.37/0.61 (define @t116 () (_ @t30 tptp.b)) % 0.37/0.61 (define @t117 () (tptp.a @t5)) % 0.37/0.61 (define @t118 () (forall @t25 (or @t84 @t117))) % 0.37/0.61 (define @t119 () (not @t118)) % 0.37/0.61 (define @t120 () (lambda @t87 @t119)) % 0.37/0.61 (define @t121 () (or @t84 (_ @t120 @t5))) % 0.37/0.61 (define @t122 () (forall @t25 @t121)) % 0.37/0.61 (define @t123 () (or @t122 @t102)) % 0.37/0.61 (define @t124 () (lambda @t103 @t123)) % 0.37/0.61 (define @t125 () (or @t113 @t102)) % 0.37/0.61 (define @t126 () (lambda @t37 @t125)) % 0.37/0.61 (define @t127 () (_ tptp.a @t5)) % 0.37/0.61 (define @t128 () (or @t84 @t127)) % 0.37/0.61 (define @t129 () (lambda @t87 (_ tptp.a @t19))) % 0.37/0.61 (define @t130 () (_ @t129 @t5)) % 0.37/0.61 (define @t131 () (or @t84 @t130)) % 0.37/0.61 (define @t132 () (forall @t25 @t131)) % 0.37/0.61 (define @t133 () (not @t132)) % 0.37/0.61 (define @t134 () (lambda @t87 @t133)) % 0.37/0.61 (define @t135 () (_ @t30 tptp.a)) % 0.37/0.61 (define @t136 () (not (tptp.irel @t10 @t5))) % 0.37/0.61 (define @t137 () (forall @t25 (or @t136 @t112))) % 0.37/0.61 (define @t138 () (@list @t10)) % 0.37/0.61 (define @t139 () (tptp.irel @t1 @t5)) % 0.37/0.61 (define @t140 () (not @t139)) % 0.37/0.61 (define @t141 () (forall @t25 (or @t140 @t112))) % 0.37/0.61 (define @t142 () (lambda @t3 @t141)) % 0.37/0.61 (define @t143 () (_ @t142 @t10)) % 0.37/0.61 (define @t144 () (not @t143)) % 0.37/0.61 (define @t145 () (lambda @t138 @t144)) % 0.37/0.61 (define @t146 () (lambda @t27 @t141)) % 0.37/0.61 (define @t147 () (not @t6)) % 0.37/0.61 (define @t148 () (or @t147 @t24)) % 0.37/0.61 (define @t149 () (forall @t25 (or @t136 @t101))) % 0.37/0.61 (define @t150 () (lambda @t3 (forall @t25 (or @t140 @t101)))) % 0.37/0.61 (define @t151 () (_ @t150 @t10)) % 0.37/0.61 (define @t152 () (or @t137 @t151)) % 0.37/0.61 (define @t153 () (lambda @t138 @t152)) % 0.37/0.61 (define @t154 () (@list @t14 @t10)) % 0.37/0.61 (define @t155 () (or @t143 @t15)) % 0.37/0.61 (define @t156 () (lambda @t154 @t155)) % 0.37/0.61 (define @t157 () (@var "BOUND_VARIABLE_8174" $$unsorted)) % 0.37/0.61 (define @t158 () (not (forall @t64 (or (not (tptp.irel @t157 @t61)) @t62)))) % 0.37/0.61 (define @t159 () (not (tptp.irel @t33 @t157))) % 0.37/0.61 (define @t160 () (@var "BOUND_VARIABLE_8164" $$unsorted)) % 0.37/0.61 (define @t161 () (not (forall @t58 (or (not (tptp.irel @t160 @t55)) @t56)))) % 0.37/0.61 (define @t162 () (not (tptp.irel @t33 @t160))) % 0.37/0.61 (define @t163 () (or @t162 @t161 @t159 @t158)) % 0.37/0.61 (define @t164 () (or @t159 @t158)) % 0.37/0.61 (define @t165 () (or @t162 @t161)) % 0.37/0.61 (define @t166 () (or @t165 @t164)) % 0.37/0.61 (define @t167 () (@list @t33 @t160 @t157)) % 0.37/0.61 (define @t168 () (forall @t167 @t166)) % 0.37/0.61 (define @t169 () (forall (@list @t160 @t157) @t166)) % 0.37/0.61 (define @t170 () (forall (@list @t157) @t164)) % 0.37/0.61 (define @t171 () (forall (@list @t160) @t165)) % 0.37/0.61 (define @t172 () (or @t171 @t170)) % 0.37/0.61 (define @t173 () (or @t80 @t82)) % 0.37/0.61 (define @t174 () (lambda @t87 (or @t85 @t86))) % 0.37/0.61 (define @t175 () (_ @t174 @t33)) % 0.37/0.61 (define @t176 () (forall @t34 @t175)) % 0.37/0.61 (define @t177 () (or @t85 @t122)) % 0.37/0.61 (define @t178 () (lambda @t87 @t177)) % 0.37/0.61 (define @t179 () (or @t98 @t102)) % 0.37/0.61 (define @t180 () (lambda @t103 @t179)) % 0.37/0.61 (define @t181 () (forall @t167 @t163)) % 0.37/0.61 (define @t182 () (@quantifiers_skolemize @t181 2)) % 0.37/0.61 (define @t183 () (forall @t64 (or (not (tptp.irel @t182 @t61)) @t62))) % 0.37/0.61 (define @t184 () (not @t183)) % 0.37/0.61 (define @t185 () (@quantifiers_skolemize @t181 0)) % 0.37/0.61 (define @t186 () (tptp.irel @t185 @t182)) % 0.37/0.61 (define @t187 () (not @t186)) % 0.37/0.61 (define @t188 () (@quantifiers_skolemize @t181 1)) % 0.37/0.61 (define @t189 () (forall @t58 (or (not (tptp.irel @t188 @t55)) @t56))) % 0.37/0.61 (define @t190 () (not @t189)) % 0.37/0.61 (define @t191 () (tptp.irel @t185 @t188)) % 0.37/0.61 (define @t192 () (not @t191)) % 0.37/0.61 (define @t193 () (or @t192 @t190 @t187 @t184)) % 0.37/0.61 (define @t194 () (@list true)) % 0.37/0.61 (define @t195 () (@list @t193)) % 0.37/0.61 (define @t196 () (or @t187 @t184 @t192 @t190)) % 0.37/0.61 (define @t197 () (not @t196)) % 0.37/0.61 (define @t198 () (forall @t71 @t67)) % 0.37/0.61 (assume @p1 (forall @t3 (_ @t2 @t1))) % 0.37/0.61 (assume @p2 (forall (@list @t1 @t5 @t4) (=> (and @t6 (_ (_ tptp.irel @t5) @t4)) (_ @t2 @t4)))) % 0.37/0.61 (assume @p3 (= tptp.ifalse (_ tptp.inot tptp.itrue))) % 0.37/0.61 (assume @p4 (_ tptp.ivalid (_ (_ tptp.ior @t8) @t7))) % 0.37/0.61 (assume @p5 @t9) % 0.37/0.61 (assume @p6 true) % 0.37/0.61 (step @p7 (= tptp.mnot @t13) :rule refl :args (@t13)) % 0.37/0.61 (step @p8 (= tptp.mor @t17) :rule refl :args (@t17)) % 0.37/0.61 (step @p9 (= tptp.mand @t18) :rule refl :args (@t18)) % 0.37/0.61 (step @p10 (= tptp.mimplies @t22) :rule refl :args (@t22)) % 0.37/0.61 (step @p11 (= tptp.mbox_s4 @t28) :rule refl :args (@t28)) % 0.37/0.61 (step @p12 (= tptp.iatom @t30) :rule refl :args (@t30)) % 0.37/0.61 (step @p13 (= tptp.inot @t32) :rule refl :args (@t32)) % 0.37/0.61 (step @p14 (= tptp.itrue @t35) :rule refl :args (@t35)) % 0.37/0.61 (step @p15 (= tptp.iand @t38) :rule refl :args (@t38)) % 0.37/0.61 (step @p16 (= tptp.ior @t40) :rule refl :args (@t40)) % 0.37/0.61 (step @p17 (= tptp.iimplies @t41) :rule refl :args (@t41)) % 0.37/0.61 (step @p18 (= tptp.iimplied @t43) :rule refl :args (@t43)) % 0.37/0.61 (step @p19 (= tptp.iequiv @t44) :rule refl :args (@t44)) % 0.37/0.61 (step @p20 (= tptp.ixor @t45) :rule refl :args (@t45)) % 0.37/0.61 (step @p21 (= tptp.ivalid @t50) :rule refl :args (@t50)) % 0.37/0.61 (step @p22 (= tptp.isatisfiable @t51) :rule refl :args (@t51)) % 0.37/0.61 (step @p23 (= tptp.icountersatisfiable @t53) :rule refl :args (@t53)) % 0.37/0.61 (step @p24 (= tptp.iinvalid @t54) :rule refl :args (@t54)) % 0.37/0.61 (step @p25 :rule aci_norm :args ((= @t70 @t67))) % 0.37/0.61 (step @p26 :rule cong :premises (@p25) :args (@t72)) % 0.37/0.61 (step @p27 :rule quant-merge-prenex :args ((= (forall @t34 @t73) @t72))) % 0.37/0.61 (step @p28 :rule alpha_equiv :args (@t74 (@list @t57) @t75)) % 0.37/0.61 (step @p29 :rule alpha_equiv :args (@t76 (@list @t63) @t75)) % 0.37/0.61 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t77)) % 0.37/0.61 (step @p31 :rule quant-miniscope-or :args ((= @t73 @t77))) % 0.37/0.61 (step @p32 :rule trans :premises (@p31 @p30)) % 0.37/0.61 (step @p33 :rule symm :premises (@p32)) % 0.37/0.61 (step @p34 :rule cong :premises (@p33) :args ((forall @t34 @t83))) % 0.37/0.61 (step @p35 :rule trans :premises (@p34 @p27)) % 0.37/0.61 (step @p36 :rule trans :premises (@p35 @p26)) % 0.37/0.61 (step @p37 :rule beta-reduce :args ((= @t89 @t83))) % 0.37/0.61 (step @p38 :rule cong :premises (@p37) :args (@t90)) % 0.37/0.61 (step @p39 :rule trans :premises (@p38 @p36)) % 0.37/0.61 (step @p40 :rule beta-reduce :args ((= (_ @t92 @t88) @t90))) % 0.37/0.61 (step @p41 :rule trans :premises (@p40 @p39)) % 0.37/0.61 (step @p42 :rule beta-reduce :args ((= (_ (lambda @t87 (not (forall @t58 (or (not (tptp.irel @t19 @t55)) @t56)))) @t5) @t78))) % 0.37/0.61 (step @p43 :rule refl :args (@t5)) % 0.37/0.61 (step @p44 :rule alpha_equiv :args (@t94 @t75 (@list @t55))) % 0.37/0.61 (step @p45 :rule cong :premises (@p44) :args (@t95)) % 0.37/0.61 (step @p46 :rule cong :premises (@p45) :args (@t96)) % 0.37/0.61 (step @p47 :rule ho_cong :premises (@p46 @p43)) % 0.37/0.61 (step @p48 :rule trans :premises (@p47 @p42)) % 0.37/0.61 (step @p49 :rule refl :args (@t84)) % 0.37/0.61 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t97)) % 0.37/0.61 (step @p51 :rule cong :premises (@p50) :args (@t98)) % 0.37/0.61 (step @p52 :rule refl :args (@t86)) % 0.37/0.61 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t99)) % 0.37/0.61 (step @p54 :rule cong :premises (@p53) :args (@t100)) % 0.37/0.61 (step @p55 :rule beta-reduce :args ((= (_ (lambda @t103 (or @t86 @t102)) @t96) @t100))) % 0.37/0.61 (step @p56 :rule trans :premises (@p55 @p54)) % 0.37/0.61 (step @p57 :rule refl :args (@t93)) % 0.37/0.61 (step @p58 :rule refl :args (@t104)) % 0.37/0.61 (step @p59 :rule cong :premises (@p58 @p57) :args ((= @t104 @t93))) % 0.37/0.61 (step @p60 :rule symm :premises (@p59)) % 0.37/0.61 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.37/0.61 (step @p62 :rule refl :args (@t84)) % 0.37/0.61 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t105)) % 0.37/0.61 (step @p64 :rule cong :premises (@p63) :args ((forall @t25 @t105))) % 0.37/0.61 (step @p65 :rule beta-reduce :args ((= @t107 @t104))) % 0.37/0.61 (step @p66 :rule nary_cong :premises (@p49 @p65) :args (@t108)) % 0.37/0.61 (step @p67 :rule cong :premises (@p66) :args (@t109)) % 0.37/0.61 (step @p68 :rule trans :premises (@p67 @p64)) % 0.37/0.61 (step @p69 :rule cong :premises (@p68) :args (@t110)) % 0.37/0.61 (step @p70 :rule cong :premises (@p69) :args (@t111)) % 0.37/0.61 (step @p71 :rule beta-reduce :args ((= (_ @t115 @t106) @t111))) % 0.37/0.61 (step @p72 :rule trans :premises (@p71 @p70)) % 0.37/0.61 (step @p73 :rule beta-reduce :args ((= @t116 @t106))) % 0.37/0.61 (step @p74 :rule refl :args (@t115)) % 0.37/0.61 (step @p75 :rule ho_cong :premises (@p74 @p73)) % 0.37/0.61 (step @p76 :rule trans :premises (@p75 @p72)) % 0.37/0.61 (step @p77 :rule refl :args (@t102)) % 0.37/0.61 (step @p78 :rule beta-reduce :args ((= (_ (lambda @t87 (not (forall @t64 (or (not (tptp.irel @t19 @t61)) @t62)))) @t5) @t81))) % 0.37/0.61 (step @p79 :rule alpha_equiv :args (@t118 @t75 (@list @t61))) % 0.37/0.61 (step @p80 :rule cong :premises (@p79) :args (@t119)) % 0.37/0.61 (step @p81 :rule cong :premises (@p80) :args (@t120)) % 0.37/0.61 (step @p82 :rule ho_cong :premises (@p81 @p43)) % 0.37/0.61 (step @p83 :rule trans :premises (@p82 @p78)) % 0.37/0.61 (step @p84 :rule nary_cong :premises (@p49 @p83) :args (@t121)) % 0.37/0.61 (step @p85 :rule cong :premises (@p84) :args (@t122)) % 0.37/0.61 (step @p86 :rule nary_cong :premises (@p85 @p77) :args (@t123)) % 0.37/0.61 (step @p87 :rule cong :premises (@p86) :args (@t124)) % 0.37/0.61 (step @p88 :rule beta-reduce :args ((= (_ @t126 @t120) @t124))) % 0.37/0.61 (step @p89 :rule trans :premises (@p88 @p87)) % 0.37/0.61 (step @p90 :rule refl :args (@t117)) % 0.37/0.61 (step @p91 :rule refl :args (@t127)) % 0.37/0.61 (step @p92 :rule cong :premises (@p91 @p90) :args ((= @t127 @t117))) % 0.37/0.61 (step @p93 :rule symm :premises (@p92)) % 0.37/0.61 (step @p94 :rule eq_resolve :premises (@p91 @p93)) % 0.37/0.61 (step @p95 :rule nary_cong :premises (@p62 @p94) :args (@t128)) % 0.37/0.61 (step @p96 :rule cong :premises (@p95) :args ((forall @t25 @t128))) % 0.37/0.61 (step @p97 :rule beta-reduce :args ((= @t130 @t127))) % 0.37/0.61 (step @p98 :rule nary_cong :premises (@p49 @p97) :args (@t131)) % 0.37/0.61 (step @p99 :rule cong :premises (@p98) :args (@t132)) % 0.37/0.61 (step @p100 :rule trans :premises (@p99 @p96)) % 0.37/0.61 (step @p101 :rule cong :premises (@p100) :args (@t133)) % 0.37/0.61 (step @p102 :rule cong :premises (@p101) :args (@t134)) % 0.37/0.61 (step @p103 :rule beta-reduce :args ((= (_ @t115 @t129) @t134))) % 0.37/0.61 (step @p104 :rule trans :premises (@p103 @p102)) % 0.37/0.61 (step @p105 :rule beta-reduce :args ((= @t135 @t129))) % 0.37/0.61 (step @p106 :rule ho_cong :premises (@p74 @p105)) % 0.37/0.61 (step @p107 :rule trans :premises (@p106 @p104)) % 0.37/0.61 (step @p108 :rule refl :args (@t126)) % 0.37/0.61 (step @p109 :rule ho_cong :premises (@p108 @p107)) % 0.37/0.61 (step @p110 :rule trans :premises (@p109 @p89)) % 0.37/0.61 (step @p111 :rule ho_cong :premises (@p110 @p76)) % 0.37/0.61 (step @p112 :rule trans :premises (@p111 @p56)) % 0.37/0.61 (step @p113 :rule refl :args (@t92)) % 0.37/0.61 (step @p114 :rule ho_cong :premises (@p113 @p112)) % 0.37/0.61 (step @p115 :rule trans :premises (@p114 @p41)) % 0.37/0.61 (step @p116 :rule refl :args (tptp.b)) % 0.37/0.61 (step @p117 :rule ho_cong :premises (@p12 @p116)) % 0.37/0.61 (step @p118 :rule beta-reduce :args ((= (_ (lambda @t138 (not @t137)) @t19) @t114))) % 0.37/0.61 (step @p119 :rule refl :args (@t19)) % 0.37/0.61 (step @p120 :rule beta-reduce :args ((= @t143 @t137))) % 0.37/0.61 (step @p121 :rule cong :premises (@p120) :args (@t144)) % 0.37/0.61 (step @p122 :rule cong :premises (@p121) :args (@t145)) % 0.37/0.61 (step @p123 :rule beta-reduce :args ((= (_ @t13 @t142) @t145))) % 0.37/0.61 (step @p124 :rule trans :premises (@p123 @p122)) % 0.37/0.61 (step @p125 :rule beta-reduce :args ((= (_ @t146 @t23) @t142))) % 0.37/0.61 (step @p126 :rule refl :args (@t13)) % 0.37/0.61 (step @p127 :rule ho_cong :premises (@p126 @p125)) % 0.37/0.61 (step @p128 :rule trans :premises (@p127 @p124)) % 0.37/0.61 (step @p129 :rule ho_cong :premises (@p128 @p119)) % 0.37/0.61 (step @p130 :rule trans :premises (@p129 @p118)) % 0.37/0.61 (step @p131 :rule refl :args (@t23)) % 0.37/0.61 (step @p132 :rule refl :args (@t112)) % 0.37/0.61 (step @p133 :rule refl :args (@t24)) % 0.37/0.61 (step @p134 :rule cong :premises (@p133 @p132) :args ((= @t24 @t112))) % 0.37/0.61 (step @p135 :rule symm :premises (@p134)) % 0.37/0.61 (step @p136 :rule eq_resolve :premises (@p133 @p135)) % 0.37/0.61 (step @p137 :rule refl :args (@t139)) % 0.37/0.61 (step @p138 :rule refl :args (@t6)) % 0.37/0.61 (step @p139 :rule cong :premises (@p138 @p137) :args ((= @t6 @t139))) % 0.37/0.61 (step @p140 :rule symm :premises (@p139)) % 0.37/0.61 (step @p141 :rule eq_resolve :premises (@p138 @p140)) % 0.37/0.61 (step @p142 :rule cong :premises (@p141) :args (@t147)) % 0.37/0.61 (step @p143 :rule nary_cong :premises (@p142 @p136) :args (@t148)) % 0.37/0.61 (step @p144 :rule cong :premises (@p143) :args ((forall @t25 @t148))) % 0.37/0.61 (step @p145 :rule bool-impl-elim :args (@t6 @t24)) % 0.37/0.61 (step @p146 :rule cong :premises (@p145) :args (@t26)) % 0.37/0.61 (step @p147 :rule trans :premises (@p146 @p144)) % 0.37/0.61 (step @p148 :rule cong :premises (@p147) :args (@t28)) % 0.37/0.61 (step @p149 :rule trans :premises (@p11 @p148)) % 0.37/0.61 (step @p150 :rule ho_cong :premises (@p149 @p131)) % 0.37/0.61 (step @p151 :rule ho_cong :premises (@p7 @p150)) % 0.37/0.61 (step @p152 :rule ho_cong :premises (@p151 @p119)) % 0.37/0.61 (step @p153 :rule trans :premises (@p152 @p130)) % 0.37/0.61 (step @p154 :rule cong :premises (@p153) :args (@t32)) % 0.37/0.61 (step @p155 :rule trans :premises (@p13 @p154)) % 0.37/0.61 (step @p156 :rule ho_cong :premises (@p155 @p117)) % 0.37/0.61 (step @p157 :rule refl :args (tptp.a)) % 0.37/0.61 (step @p158 :rule ho_cong :premises (@p12 @p157)) % 0.37/0.61 (step @p159 :rule ho_cong :premises (@p155 @p158)) % 0.37/0.61 (step @p160 :rule beta-reduce :args ((= (_ (lambda @t138 (or @t137 @t149)) @t19) @t125))) % 0.37/0.61 (step @p161 :rule beta-reduce :args ((= @t151 @t149))) % 0.37/0.61 (step @p162 :rule refl :args (@t137)) % 0.37/0.61 (step @p163 :rule nary_cong :premises (@p162 @p161) :args (@t152)) % 0.37/0.61 (step @p164 :rule cong :premises (@p163) :args (@t153)) % 0.37/0.61 (step @p165 :rule beta-reduce :args ((= (_ (lambda @t154 (or @t137 @t15)) @t150) @t153))) % 0.37/0.61 (step @p166 :rule trans :premises (@p165 @p164)) % 0.37/0.61 (step @p167 :rule beta-reduce :args ((= (_ @t146 @t36) @t150))) % 0.37/0.61 (step @p168 :rule refl :args (@t15)) % 0.37/0.61 (step @p169 :rule nary_cong :premises (@p120 @p168) :args (@t155)) % 0.37/0.61 (step @p170 :rule cong :premises (@p169) :args (@t156)) % 0.37/0.61 (step @p171 :rule beta-reduce :args ((= (_ @t17 @t142) @t156))) % 0.37/0.61 (step @p172 :rule trans :premises (@p171 @p170)) % 0.37/0.61 (step @p173 :rule refl :args (@t17)) % 0.37/0.61 (step @p174 :rule ho_cong :premises (@p173 @p125)) % 0.37/0.61 (step @p175 :rule trans :premises (@p174 @p172)) % 0.37/0.61 (step @p176 :rule ho_cong :premises (@p175 @p167)) % 0.37/0.61 (step @p177 :rule trans :premises (@p176 @p166)) % 0.37/0.61 (step @p178 :rule ho_cong :premises (@p177 @p119)) % 0.37/0.61 (step @p179 :rule trans :premises (@p178 @p160)) % 0.37/0.61 (step @p180 :rule refl :args (@t36)) % 0.37/0.61 (step @p181 :rule ho_cong :premises (@p149 @p180)) % 0.37/0.61 (step @p182 :rule ho_cong :premises (@p8 @p150)) % 0.37/0.61 (step @p183 :rule ho_cong :premises (@p182 @p181)) % 0.37/0.61 (step @p184 :rule ho_cong :premises (@p183 @p119)) % 0.37/0.61 (step @p185 :rule trans :premises (@p184 @p179)) % 0.37/0.61 (step @p186 :rule cong :premises (@p185) :args (@t40)) % 0.37/0.61 (step @p187 :rule trans :premises (@p16 @p186)) % 0.37/0.61 (step @p188 :rule ho_cong :premises (@p187 @p159)) % 0.37/0.61 (step @p189 :rule ho_cong :premises (@p188 @p156)) % 0.37/0.61 (step @p190 :rule refl :args (@t91)) % 0.37/0.61 (step @p191 :rule refl :args (@t47)) % 0.37/0.61 (step @p192 :rule cong :premises (@p191 @p190) :args ((= @t47 @t91))) % 0.37/0.61 (step @p193 :rule symm :premises (@p192)) % 0.37/0.61 (step @p194 :rule eq_resolve :premises (@p191 @p193)) % 0.37/0.61 (step @p195 :rule cong :premises (@p194) :args (@t48)) % 0.37/0.61 (step @p196 :rule cong :premises (@p195) :args (@t50)) % 0.37/0.61 (step @p197 :rule trans :premises (@p21 @p196)) % 0.37/0.61 (step @p198 :rule ho_cong :premises (@p197 @p189)) % 0.37/0.61 (step @p199 :rule trans :premises (@p198 @p115)) % 0.37/0.61 (step @p200 :rule eq_resolve :premises (@p4 @p199)) % 0.37/0.61 (step @p201 :rule aci_norm :args ((= @t166 @t163))) % 0.37/0.61 (step @p202 :rule cong :premises (@p201) :args (@t168)) % 0.37/0.61 (step @p203 :rule quant-merge-prenex :args ((= (forall @t34 @t169) @t168))) % 0.37/0.61 (step @p204 :rule alpha_equiv :args (@t170 (@list @t157) @t75)) % 0.37/0.61 (step @p205 :rule alpha_equiv :args (@t171 (@list @t160) @t75)) % 0.37/0.61 (step @p206 :rule nary_cong :premises (@p205 @p204) :args (@t172)) % 0.37/0.61 (step @p207 :rule quant-miniscope-or :args ((= @t169 @t172))) % 0.37/0.61 (step @p208 :rule trans :premises (@p207 @p206)) % 0.37/0.61 (step @p209 :rule symm :premises (@p208)) % 0.37/0.61 (step @p210 :rule cong :premises (@p209) :args ((forall @t34 @t173))) % 0.37/0.61 (step @p211 :rule trans :premises (@p210 @p203)) % 0.37/0.61 (step @p212 :rule trans :premises (@p211 @p202)) % 0.37/0.61 (step @p213 :rule beta-reduce :args ((= @t175 @t173))) % 0.37/0.61 (step @p214 :rule cong :premises (@p213) :args (@t176)) % 0.37/0.61 (step @p215 :rule trans :premises (@p214 @p212)) % 0.37/0.61 (step @p216 :rule beta-reduce :args ((= (_ @t92 @t174) @t176))) % 0.37/0.61 (step @p217 :rule trans :premises (@p216 @p215)) % 0.37/0.61 (step @p218 :rule refl :args (@t85)) % 0.37/0.61 (step @p219 :rule nary_cong :premises (@p218 @p85) :args (@t177)) % 0.37/0.61 (step @p220 :rule cong :premises (@p219) :args (@t178)) % 0.37/0.61 (step @p221 :rule beta-reduce :args ((= (_ (lambda @t103 (or @t85 @t102)) @t120) @t178))) % 0.37/0.61 (step @p222 :rule trans :premises (@p221 @p220)) % 0.37/0.61 (step @p223 :rule nary_cong :premises (@p51 @p77) :args (@t179)) % 0.37/0.61 (step @p224 :rule cong :premises (@p223) :args (@t180)) % 0.37/0.61 (step @p225 :rule beta-reduce :args ((= (_ @t126 @t96) @t180))) % 0.37/0.61 (step @p226 :rule trans :premises (@p225 @p224)) % 0.37/0.61 (step @p227 :rule ho_cong :premises (@p108 @p76)) % 0.37/0.61 (step @p228 :rule trans :premises (@p227 @p226)) % 0.37/0.61 (step @p229 :rule ho_cong :premises (@p228 @p107)) % 0.37/0.61 (step @p230 :rule trans :premises (@p229 @p222)) % 0.37/0.61 (step @p231 :rule ho_cong :premises (@p113 @p230)) % 0.37/0.61 (step @p232 :rule trans :premises (@p231 @p217)) % 0.37/0.61 (step @p233 :rule cong :premises (@p232) :args ((not (_ @t92 (_ (_ @t126 (_ @t115 @t116)) (_ @t115 @t135)))))) % 0.37/0.61 (step @p234 :rule ho_cong :premises (@p187 @p156)) % 0.37/0.61 (step @p235 :rule ho_cong :premises (@p234 @p159)) % 0.37/0.61 (step @p236 :rule ho_cong :premises (@p197 @p235)) % 0.37/0.61 (step @p237 :rule cong :premises (@p236) :args (@t9)) % 0.37/0.61 (step @p238 :rule trans :premises (@p237 @p233)) % 0.37/0.61 (step @p239 :rule eq_resolve :premises (@p5 @p238)) % 0.37/0.61 (step @p240 :rule skolemize :premises (@p239)) % 0.37/0.61 (step @p241 :rule bool-double-not-elim :args (@t183)) % 0.37/0.61 (step @p242 :rule refl :args (@t193)) % 0.37/0.61 (step @p243 :rule nary_cong :premises (@p242 @p241) :args ((or @t193 (not @t184)))) % 0.37/0.61 (step @p244 :rule cnf_or_neg :args (@t193 3)) % 0.37/0.61 (step @p245 :rule eq_resolve :premises (@p244 @p243)) % 0.37/0.61 (step @p246 :rule reordering :premises (@p245) :args ((or @t183 @t193))) % 0.37/0.61 (step @p247 :rule chain_m_resolution :premises (@p246 @p240) :args (@t183 @t194 @t195)) % 0.37/0.61 (step @p248 :rule bool-double-not-elim :args (@t186)) % 0.37/0.61 (step @p249 :rule nary_cong :premises (@p242 @p248) :args ((or @t193 (not @t187)))) % 0.37/0.61 (step @p250 :rule cnf_or_neg :args (@t193 2)) % 0.37/0.61 (step @p251 :rule eq_resolve :premises (@p250 @p249)) % 0.37/0.61 (step @p252 :rule reordering :premises (@p251) :args ((or @t186 @t193))) % 0.37/0.61 (step @p253 :rule chain_m_resolution :premises (@p252 @p240) :args (@t186 @t194 @t195)) % 0.37/0.61 (step @p254 :rule bool-double-not-elim :args (@t189)) % 0.37/0.61 (step @p255 :rule nary_cong :premises (@p242 @p254) :args ((or @t193 (not @t190)))) % 0.37/0.61 (step @p256 :rule cnf_or_neg :args (@t193 1)) % 0.37/0.61 (step @p257 :rule eq_resolve :premises (@p256 @p255)) % 0.37/0.61 (step @p258 :rule reordering :premises (@p257) :args ((or @t189 @t193))) % 0.37/0.61 (step @p259 :rule chain_m_resolution :premises (@p258 @p240) :args (@t189 @t194 @t195)) % 0.37/0.61 (step @p260 :rule bool-double-not-elim :args (@t191)) % 0.37/0.61 (step @p261 :rule nary_cong :premises (@p242 @p260) :args ((or @t193 (not @t192)))) % 0.37/0.61 (step @p262 :rule cnf_or_neg :args (@t193 0)) % 0.37/0.61 (step @p263 :rule eq_resolve :premises (@p262 @p261)) % 0.37/0.61 (step @p264 :rule reordering :premises (@p263) :args ((or @t191 @t193))) % 0.37/0.61 (step @p265 :rule chain_m_resolution :premises (@p264 @p240) :args (@t191 @t194 @t195)) % 0.37/0.61 (step @p266 :rule cnf_or_pos :args (@t196)) % 0.37/0.61 (step @p267 :rule reordering :premises (@p266) :args ((or @t192 @t190 @t187 @t184 @t197))) % 0.37/0.61 (step @p268 :rule chain_m_resolution :premises (@p267 @p265 @p259 @p253 @p247) :args (@t197 (@list false false false false) (@list @t191 @t189 @t186 @t183))) % 0.37/0.61 (assume-push @p275 @t198) % 0.37/0.61 (step @p270 :rule instantiate :premises (@p200) :args ((@list @t185 @t182 @t188))) % 0.37/0.61 (step-pop @p276 :rule scope :premises (@p270)) % 0.37/0.61 (step @p271 :rule process_scope :premises (@p276) :args (@t196)) % 0.37/0.61 (step @p273 :rule implies_elim :premises (@p271)) % 0.37/0.61 (step @p274 false :rule chain_m_resolution :premises (@p273 @p268 @p200) :args (false (@list true false) (@list @t196 @t198))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------