%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL584^1 : TPTP v9.3.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:07 AM UTC 2026 % Result : Theorem 0.20s 0.50s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL584^1 : TPTP v9.3.1. Released v3.6.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n011.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sun Sep 6 02:11:29 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.44 %----Proving TH0 % 0.20/0.50 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.20/0.50 % SZS status Theorem % 0.20/0.50 % SZS output start Proof % 0.20/0.50 ( % 0.20/0.50 (declare-sort $$unsorted 0) % 0.20/0.50 (declare-sort tptp.individuals 0) % 0.20/0.50 (declare-const tptp.a (-> $$unsorted Bool)) % 0.20/0.50 (declare-const tptp.r (-> $$unsorted $$unsorted Bool)) % 0.20/0.50 (declare-const tptp.b (-> $$unsorted Bool)) % 0.20/0.50 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 0.20/0.50 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 0.20/0.50 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.20/0.50 (define tptp.mor () (let ((_let_1 (@var "U" $$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))))))) % 0.20/0.50 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.20/0.50 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.20/0.50 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "U" (-> $$unsorted Bool)))) (let ((_let_3 (@var "V" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimpl _let_2) _let_3)) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.20/0.50 (define tptp.mbox () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.20/0.50 (define tptp.mdia () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.20/0.50 (define tptp.mall () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.20/0.50 (define tptp.mexists () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.20/0.50 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.20/0.50 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.20/0.50 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.20/0.50 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.20/0.50 (define @t1 () (_ tptp.mbox tptp.r)) % 0.20/0.50 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.miff (_ @t1 (_ (_ tptp.mand tptp.a) tptp.b))) (_ (_ tptp.mand (_ @t1 tptp.a)) (_ @t1 tptp.b)))))) % 0.20/0.50 (define @t3 () (@var "X" $$unsorted)) % 0.20/0.50 (define @t4 () (@list @t3)) % 0.20/0.50 (define @t5 () (lambda @t4 false)) % 0.20/0.50 (define @t6 () (lambda @t4 true)) % 0.20/0.50 (define @t7 () (@var "U" $$unsorted)) % 0.20/0.50 (define @t8 () (@var "X" (-> $$unsorted Bool))) % 0.20/0.50 (define @t9 () (_ @t8 @t7)) % 0.20/0.50 (define @t10 () (lambda (@list @t8 @t7) (not @t9))) % 0.20/0.50 (define @t11 () (@var "Y" (-> $$unsorted Bool))) % 0.20/0.50 (define @t12 () (_ @t11 @t7)) % 0.20/0.50 (define @t13 () (@list @t8 @t11 @t7)) % 0.20/0.50 (define @t14 () (lambda @t13 (or @t9 @t12))) % 0.20/0.50 (define @t15 () (lambda @t13 (and @t9 @t12))) % 0.20/0.50 (define @t16 () (@var "__flatten_var_0" $$unsorted)) % 0.20/0.50 (define @t17 () (@var "V" (-> $$unsorted Bool))) % 0.20/0.50 (define @t18 () (@var "U" (-> $$unsorted Bool))) % 0.20/0.50 (define @t19 () (@list @t18 @t17 @t16)) % 0.20/0.50 (define @t20 () (lambda @t19 (_ (_ (_ tptp.mor (_ tptp.mnot @t18)) @t17) @t16))) % 0.20/0.50 (define @t21 () (lambda @t19 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t18) @t17)) (_ (_ tptp.mimpl @t17) @t18)) @t16))) % 0.20/0.50 (define @t22 () (@var "Y" $$unsorted)) % 0.20/0.50 (define @t23 () (@var "P" (-> $$unsorted Bool))) % 0.20/0.50 (define @t24 () (_ @t23 @t22)) % 0.20/0.50 (define @t25 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.20/0.50 (define @t26 () (_ (_ @t25 @t3) @t22)) % 0.20/0.50 (define @t27 () (@list @t22)) % 0.20/0.50 (define @t28 () (forall @t27 (=> @t26 @t24))) % 0.20/0.50 (define @t29 () (@list @t25 @t23 @t3)) % 0.20/0.50 (define @t30 () (lambda @t29 @t28)) % 0.20/0.50 (define @t31 () (lambda @t29 (exists @t27 (and @t26 @t24)))) % 0.20/0.50 (define @t32 () (@var "W" $$unsorted)) % 0.20/0.50 (define @t33 () (@var "X" tptp.individuals)) % 0.20/0.50 (define @t34 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 0.20/0.50 (define @t35 () (_ (_ @t34 @t33) @t32)) % 0.20/0.50 (define @t36 () (@list @t33)) % 0.20/0.50 (define @t37 () (@list @t34 @t32)) % 0.20/0.50 (define @t38 () (lambda @t37 (forall @t36 @t35))) % 0.20/0.50 (define @t39 () (lambda @t37 (exists @t36 @t35))) % 0.20/0.50 (define @t40 () (_ @t23 @t32)) % 0.20/0.50 (define @t41 () (@list @t32)) % 0.20/0.50 (define @t42 () (forall @t41 @t40)) % 0.20/0.50 (define @t43 () (@list @t23)) % 0.20/0.50 (define @t44 () (lambda @t43 @t42)) % 0.20/0.50 (define @t45 () (lambda @t43 (exists @t41 @t40))) % 0.20/0.50 (define @t46 () (not @t40)) % 0.20/0.50 (define @t47 () (lambda @t43 (exists @t41 @t46))) % 0.20/0.50 (define @t48 () (lambda @t43 (forall @t41 @t46))) % 0.20/0.50 (define @t49 () (tptp.b @t22)) % 0.20/0.50 (define @t50 () (tptp.a @t22)) % 0.20/0.50 (define @t51 () (and @t50 @t49)) % 0.20/0.50 (define @t52 () (@var "BOUND_VARIABLE_7933" $$unsorted)) % 0.20/0.50 (define @t53 () (@var "BOUND_VARIABLE_7896" $$unsorted)) % 0.20/0.50 (define @t54 () (or (not (tptp.r @t53 @t52)) (tptp.b @t52))) % 0.20/0.50 (define @t55 () (@var "BOUND_VARIABLE_7927" $$unsorted)) % 0.20/0.50 (define @t56 () (or (not (tptp.r @t53 @t55)) (tptp.a @t55))) % 0.20/0.50 (define @t57 () (and @t56 @t54)) % 0.20/0.50 (define @t58 () (not (tptp.r @t53 @t22))) % 0.20/0.50 (define @t59 () (not (forall @t27 (or @t58 @t51)))) % 0.20/0.50 (define @t60 () (or @t59 @t57)) % 0.20/0.50 (define @t61 () (forall (@list @t53 @t55 @t52) @t60)) % 0.20/0.50 (define @t62 () (@quantifiers_skolemize @t61 0)) % 0.20/0.50 (define @t63 () (forall @t27 (or (not (tptp.r @t62 @t22)) @t51))) % 0.20/0.50 (define @t64 () (@quantifiers_skolemize @t61 2)) % 0.20/0.50 (define @t65 () (tptp.b @t64)) % 0.20/0.50 (define @t66 () (tptp.r @t62 @t64)) % 0.20/0.50 (define @t67 () (not @t66)) % 0.20/0.50 (define @t68 () (or @t67 @t65)) % 0.20/0.50 (define @t69 () (@quantifiers_skolemize @t61 1)) % 0.20/0.50 (define @t70 () (tptp.a @t69)) % 0.20/0.50 (define @t71 () (tptp.r @t62 @t69)) % 0.20/0.50 (define @t72 () (not @t71)) % 0.20/0.50 (define @t73 () (or @t72 @t70)) % 0.20/0.50 (define @t74 () (and @t73 @t68)) % 0.20/0.50 (define @t75 () (not @t63)) % 0.20/0.50 (define @t76 () (or @t75 @t74)) % 0.20/0.50 (define @t77 () (and @t70 (tptp.b @t69))) % 0.20/0.50 (define @t78 () (or @t72 @t77)) % 0.20/0.50 (define @t79 () (and (tptp.a @t64) @t65)) % 0.20/0.50 (define @t80 () (or @t67 @t79)) % 0.20/0.50 (define @t81 () (not @t80)) % 0.20/0.50 (define @t82 () (not @t76)) % 0.20/0.50 (define @t83 () (not @t61)) % 0.20/0.50 (define @t84 () (@list false)) % 0.20/0.50 (define @t85 () (@var "BOUND_VARIABLE_7943" $$unsorted)) % 0.20/0.50 (define @t86 () (and (tptp.a @t85) (tptp.b @t85))) % 0.20/0.50 (define @t87 () (@var "BOUND_VARIABLE_7911" $$unsorted)) % 0.20/0.50 (define @t88 () (not (tptp.r @t87 @t85))) % 0.20/0.50 (define @t89 () (not (tptp.r @t87 @t22))) % 0.20/0.50 (define @t90 () (not (forall @t27 (or @t89 @t49)))) % 0.20/0.50 (define @t91 () (not (forall @t27 (or @t89 @t50)))) % 0.20/0.50 (define @t92 () (or @t91 @t90 @t88 @t86)) % 0.20/0.50 (define @t93 () (or @t88 @t86)) % 0.20/0.50 (define @t94 () (or @t91 @t90 @t93)) % 0.20/0.50 (define @t95 () (@list @t87 @t85)) % 0.20/0.50 (define @t96 () (forall @t95 @t94)) % 0.20/0.50 (define @t97 () (@list @t85)) % 0.20/0.50 (define @t98 () (forall @t97 @t94)) % 0.20/0.50 (define @t99 () (@list @t87)) % 0.20/0.50 (define @t100 () (forall @t97 @t93)) % 0.20/0.50 (define @t101 () (@list @t22)) % 0.20/0.50 (define @t102 () (or @t91 @t90 @t100)) % 0.20/0.50 (define @t103 () (forall @t99 (or @t91 @t90 (forall @t27 (or @t89 @t51))))) % 0.20/0.50 (define @t104 () (@list @t55 @t52)) % 0.20/0.50 (define @t105 () (forall @t104 @t60)) % 0.20/0.50 (define @t106 () (@list @t53)) % 0.20/0.50 (define @t107 () (forall (@list @t52) @t54)) % 0.20/0.50 (define @t108 () (forall @t104 @t54)) % 0.20/0.50 (define @t109 () (forall (@list @t55) @t56)) % 0.20/0.50 (define @t110 () (forall @t104 @t56)) % 0.20/0.50 (define @t111 () (and @t110 @t108)) % 0.20/0.50 (define @t112 () (forall @t104 @t57)) % 0.20/0.50 (define @t113 () (or @t59 @t112)) % 0.20/0.50 (define @t114 () (forall @t106 (or @t59 (and (forall @t27 (or @t58 @t50)) (forall @t27 (or @t58 @t49)))))) % 0.20/0.50 (define @t115 () (not (tptp.r @t32 @t22))) % 0.20/0.50 (define @t116 () (forall @t27 (or @t115 @t51))) % 0.20/0.50 (define @t117 () (forall @t27 (or @t115 @t49))) % 0.20/0.50 (define @t118 () (not @t117)) % 0.20/0.50 (define @t119 () (forall @t27 (or @t115 @t50))) % 0.20/0.50 (define @t120 () (not @t119)) % 0.20/0.50 (define @t121 () (or @t120 @t118 @t116)) % 0.20/0.50 (define @t122 () (forall @t41 @t121)) % 0.20/0.50 (define @t123 () (@list @t32)) % 0.20/0.50 (define @t124 () (and @t119 @t117)) % 0.20/0.50 (define @t125 () (or (not @t116) @t124)) % 0.20/0.50 (define @t126 () (forall @t41 @t125)) % 0.20/0.50 (define @t127 () (and @t126 @t122)) % 0.20/0.50 (define @t128 () (or (not @t124) @t116)) % 0.20/0.50 (define @t129 () (and @t125 @t128)) % 0.20/0.50 (define @t130 () (not (tptp.r @t16 @t22))) % 0.20/0.50 (define @t131 () (forall @t27 (or @t130 @t51))) % 0.20/0.50 (define @t132 () (and (forall @t27 (or @t130 @t50)) (forall @t27 (or @t130 @t49)))) % 0.20/0.50 (define @t133 () (not @t131)) % 0.20/0.50 (define @t134 () (@list @t16)) % 0.20/0.50 (define @t135 () (lambda @t134 (and (or @t133 @t132) (or (not @t132) @t131)))) % 0.20/0.50 (define @t136 () (_ @t135 @t32)) % 0.20/0.50 (define @t137 () (forall @t41 @t136)) % 0.20/0.50 (define @t138 () (_ @t23 @t32)) % 0.20/0.50 (define @t139 () (lambda @t43 (forall @t41 @t138))) % 0.20/0.50 (define @t140 () (not (tptp.r @t7 @t22))) % 0.20/0.50 (define @t141 () (forall @t27 (or @t140 @t49))) % 0.20/0.50 (define @t142 () (forall @t27 (or @t140 @t50))) % 0.20/0.50 (define @t143 () (@list @t7)) % 0.20/0.50 (define @t144 () (lambda @t143 (and @t142 @t141))) % 0.20/0.50 (define @t145 () (_ @t144 @t16)) % 0.20/0.50 (define @t146 () (not @t145)) % 0.20/0.50 (define @t147 () (or @t146 @t131)) % 0.20/0.50 (define @t148 () (or @t133 @t145)) % 0.20/0.50 (define @t149 () (and @t148 @t147)) % 0.20/0.50 (define @t150 () (lambda @t134 @t149)) % 0.20/0.50 (define @t151 () (_ @t17 @t16)) % 0.20/0.50 (define @t152 () (not @t151)) % 0.20/0.50 (define @t153 () (@list @t17 @t16)) % 0.20/0.50 (define @t154 () (not (tptp.r @t3 @t22))) % 0.20/0.50 (define @t155 () (lambda @t4 (forall @t27 (or @t154 @t49)))) % 0.20/0.50 (define @t156 () (_ @t155 @t7)) % 0.20/0.50 (define @t157 () (and @t142 @t156)) % 0.20/0.50 (define @t158 () (lambda @t143 @t157)) % 0.20/0.50 (define @t159 () (@list @t11 @t7)) % 0.20/0.50 (define @t160 () (_ @t23 @t22)) % 0.20/0.50 (define @t161 () (lambda (@list @t23 @t3) (forall @t27 (or @t154 @t160)))) % 0.20/0.50 (define @t162 () (_ @t25 @t3 @t22)) % 0.20/0.50 (define @t163 () (_ (lambda @t29 (forall @t27 (or (not @t162) @t160))) tptp.r)) % 0.20/0.50 (define @t164 () (lambda @t4 (forall @t27 (or @t154 @t50)))) % 0.20/0.50 (define @t165 () (_ @t164 @t7)) % 0.20/0.50 (define @t166 () (and @t165 @t12)) % 0.20/0.50 (define @t167 () (lambda @t159 @t166)) % 0.20/0.50 (define @t168 () (lambda @t4 (forall @t27 (or @t154 @t51)))) % 0.20/0.50 (define @t169 () (_ @t168 @t16)) % 0.20/0.50 (define @t170 () (or @t152 @t169)) % 0.20/0.50 (define @t171 () (not @t169)) % 0.20/0.50 (define @t172 () (or @t171 @t151)) % 0.20/0.50 (define @t173 () (and @t172 @t170)) % 0.20/0.50 (define @t174 () (lambda @t153 @t173)) % 0.20/0.50 (define @t175 () (_ @t18 @t16)) % 0.20/0.50 (define @t176 () (or @t152 @t175)) % 0.20/0.50 (define @t177 () (not @t175)) % 0.20/0.50 (define @t178 () (or @t177 @t151)) % 0.20/0.50 (define @t179 () (and @t178 @t176)) % 0.20/0.50 (define @t180 () (lambda @t19 @t179)) % 0.20/0.50 (define @t181 () (_ tptp.b @t22)) % 0.20/0.50 (define @t182 () (_ tptp.a @t22)) % 0.20/0.50 (define @t183 () (and @t182 @t181)) % 0.20/0.50 (define @t184 () (or @t154 @t183)) % 0.20/0.50 (define @t185 () (_ tptp.a @t7)) % 0.20/0.50 (define @t186 () (lambda @t143 (and @t185 (_ tptp.b @t7)))) % 0.20/0.50 (define @t187 () (_ @t186 @t22)) % 0.20/0.50 (define @t188 () (or @t154 @t187)) % 0.20/0.50 (define @t189 () (forall @t27 @t188)) % 0.20/0.50 (define @t190 () (lambda @t4 @t189)) % 0.20/0.50 (define @t191 () (lambda @t159 (and @t185 @t12))) % 0.20/0.50 (define @t192 () (_ @t15 tptp.a)) % 0.20/0.50 (define @t193 () (not @t26)) % 0.20/0.50 (define @t194 () (or @t193 @t24)) % 0.20/0.50 (define @t195 () (_ @t18 @t7)) % 0.20/0.50 (define @t196 () (_ @t17 @t7)) % 0.20/0.50 (define @t197 () (or (not @t196) @t195)) % 0.20/0.50 (define @t198 () (not @t195)) % 0.20/0.50 (define @t199 () (or @t198 @t196)) % 0.20/0.50 (define @t200 () (lambda @t134 @t176)) % 0.20/0.50 (define @t201 () (_ @t200 @t7)) % 0.20/0.50 (define @t202 () (and @t199 @t201)) % 0.20/0.50 (define @t203 () (lambda @t143 @t202)) % 0.20/0.50 (define @t204 () (@var "BOUND_VARIABLE_7519" (-> $$unsorted Bool))) % 0.20/0.50 (define @t205 () (_ @t204 @t16)) % 0.20/0.50 (define @t206 () (lambda (@list @t204 @t16) (or @t152 @t205))) % 0.20/0.50 (define @t207 () (lambda @t19 @t178)) % 0.20/0.50 (define @t208 () (lambda @t134 @t178)) % 0.20/0.50 (define @t209 () (_ @t208 @t7)) % 0.20/0.50 (define @t210 () (and @t209 @t12)) % 0.20/0.50 (define @t211 () (lambda @t159 @t210)) % 0.20/0.50 (define @t212 () (lambda @t153 @t178)) % 0.20/0.50 (define @t213 () (lambda @t143 @t199)) % 0.20/0.50 (define @t214 () (lambda @t143 @t198)) % 0.20/0.50 (define @t215 () (_ @t214 @t7)) % 0.20/0.50 (define @t216 () (or @t215 @t12)) % 0.20/0.50 (define @t217 () (lambda @t159 @t216)) % 0.20/0.50 (define @t218 () (forall @t95 @t92)) % 0.20/0.50 (define @t219 () (not @t218)) % 0.20/0.50 (define @t220 () (@quantifiers_skolemize @t218 1)) % 0.20/0.50 (define @t221 () (tptp.b @t220)) % 0.20/0.50 (define @t222 () (tptp.a @t220)) % 0.20/0.50 (define @t223 () (and @t222 @t221)) % 0.20/0.50 (define @t224 () (@quantifiers_skolemize @t218 0)) % 0.20/0.50 (define @t225 () (tptp.r @t224 @t220)) % 0.20/0.50 (define @t226 () (not @t225)) % 0.20/0.50 (define @t227 () (not (tptp.r @t224 @t22))) % 0.20/0.50 (define @t228 () (forall @t27 (or @t227 @t49))) % 0.20/0.50 (define @t229 () (not @t228)) % 0.20/0.50 (define @t230 () (forall @t27 (or @t227 @t50))) % 0.20/0.50 (define @t231 () (not @t230)) % 0.20/0.50 (define @t232 () (or @t231 @t229 @t226 @t223)) % 0.20/0.50 (define @t233 () (not @t232)) % 0.20/0.50 (define @t234 () (@list true)) % 0.20/0.50 (define @t235 () (@list @t232)) % 0.20/0.50 (define @t236 () (@list @t220)) % 0.20/0.50 (define @t237 () (or @t226 @t222)) % 0.20/0.50 (define @t238 () (@list true false)) % 0.20/0.50 (define @t239 () (or @t226 @t221)) % 0.20/0.50 (define @t240 () (not @t239)) % 0.20/0.50 (assume @p1 @t2) % 0.20/0.50 (assume @p2 true) % 0.20/0.50 (step @p3 (= tptp.mfalse @t5) :rule refl :args (@t5)) % 0.20/0.50 (step @p4 (= tptp.mtrue @t6) :rule refl :args (@t6)) % 0.20/0.50 (step @p5 (= tptp.mnot @t10) :rule refl :args (@t10)) % 0.20/0.50 (step @p6 (= tptp.mor @t14) :rule refl :args (@t14)) % 0.20/0.50 (step @p7 (= tptp.mand @t15) :rule refl :args (@t15)) % 0.20/0.50 (step @p8 (= tptp.mimpl @t20) :rule refl :args (@t20)) % 0.20/0.50 (step @p9 (= tptp.miff @t21) :rule refl :args (@t21)) % 0.20/0.50 (step @p10 (= tptp.mbox @t30) :rule refl :args (@t30)) % 0.20/0.50 (step @p11 (= tptp.mdia @t31) :rule refl :args (@t31)) % 0.20/0.50 (step @p12 (= tptp.mall @t38) :rule refl :args (@t38)) % 0.20/0.50 (step @p13 (= tptp.mexists @t39) :rule refl :args (@t39)) % 0.20/0.50 (step @p14 (= tptp.mvalid @t44) :rule refl :args (@t44)) % 0.20/0.50 (step @p15 (= tptp.msatisfiable @t45) :rule refl :args (@t45)) % 0.20/0.50 (step @p16 (= tptp.mcountersatisfiable @t47) :rule refl :args (@t47)) % 0.20/0.50 (step @p17 (= tptp.minvalid @t48) :rule refl :args (@t48)) % 0.20/0.50 (step @p18 :rule bool-double-not-elim :args (@t63)) % 0.20/0.50 (step @p19 :rule refl :args (@t76)) % 0.20/0.50 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t76 (not @t75)))) % 0.20/0.50 (step @p21 :rule cnf_or_neg :args (@t76 0)) % 0.20/0.50 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.20/0.50 (step @p23 :rule reordering :premises (@p22) :args ((or @t63 @t76))) % 0.20/0.50 (step @p24 :rule cnf_or_neg :args (@t76 1)) % 0.20/0.50 (assume-push @p363 @t63) % 0.20/0.50 (step @p26 :rule instantiate :premises (@p363) :args ((@list @t69))) % 0.20/0.50 (step-pop @p364 :rule scope :premises (@p26)) % 0.20/0.50 (step @p27 :rule process_scope :premises (@p364) :args (@t78)) % 0.20/0.50 (step @p29 :rule implies_elim :premises (@p27)) % 0.20/0.50 (assume-push @p365 @t63) % 0.20/0.50 (step @p31 :rule instantiate :premises (@p365) :args ((@list @t64))) % 0.20/0.50 (step-pop @p366 :rule scope :premises (@p31)) % 0.20/0.50 (step @p32 :rule process_scope :premises (@p366) :args (@t80)) % 0.20/0.50 (step @p34 :rule implies_elim :premises (@p32)) % 0.20/0.50 (step @p35 :rule bool-double-not-elim :args (@t66)) % 0.20/0.50 (step @p36 :rule refl :args (@t68)) % 0.20/0.50 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t68 (not @t67)))) % 0.20/0.50 (step @p38 :rule cnf_or_neg :args (@t68 0)) % 0.20/0.50 (step @p39 :rule eq_resolve :premises (@p38 @p37)) % 0.20/0.50 (step @p40 :rule reordering :premises (@p39) :args ((or @t66 @t68))) % 0.20/0.50 (step @p41 :rule cnf_or_neg :args (@t68 1)) % 0.20/0.50 (step @p42 :rule cnf_or_pos :args (@t80)) % 0.20/0.50 (step @p43 :rule reordering :premises (@p42) :args ((or @t67 @t79 @t81))) % 0.20/0.50 (step @p44 :rule cnf_and_pos :args (@t79 1)) % 0.20/0.50 (step @p45 :rule reordering :premises (@p44) :args ((or @t65 (not @t79)))) % 0.20/0.50 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p41 @p40) :args ((or @t68 @t81) (@list false true false) (@list @t79 @t65 @t66))) % 0.20/0.50 (step @p47 :rule cnf_and_neg :args (@t74)) % 0.20/0.50 (step @p48 :rule bool-double-not-elim :args (@t71)) % 0.20/0.50 (step @p49 :rule refl :args (@t73)) % 0.20/0.50 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t73 (not @t72)))) % 0.20/0.50 (step @p51 :rule cnf_or_neg :args (@t73 0)) % 0.20/0.50 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.20/0.50 (step @p53 :rule reordering :premises (@p52) :args ((or @t71 @t73))) % 0.20/0.50 (step @p54 :rule cnf_or_neg :args (@t73 1)) % 0.20/0.50 (step @p55 :rule cnf_or_pos :args (@t78)) % 0.20/0.50 (step @p56 :rule reordering :premises (@p55) :args ((or @t72 @t77 (not @t78)))) % 0.20/0.50 (step @p57 :rule cnf_and_pos :args (@t77 0)) % 0.20/0.50 (step @p58 :rule reordering :premises (@p57) :args ((or @t70 (not @t77)))) % 0.20/0.50 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p54 @p53 @p47 @p46 @p34 @p29 @p24 @p23) :args (@t76 (@list false true false true false false false true false) (@list @t77 @t70 @t71 @t73 @t68 @t80 @t78 @t74 @t63))) % 0.20/0.50 (step @p60 :rule refl :args (@t82)) % 0.20/0.50 (step @p61 :rule bool-double-not-elim :args (@t61)) % 0.20/0.50 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or (not @t83) @t82))) % 0.20/0.50 (assume-push @p367 @t83) % 0.20/0.50 (step @p64 :rule skolemize :premises (@p367)) % 0.20/0.50 (step-pop @p368 :rule scope :premises (@p64)) % 0.20/0.50 (step @p65 :rule process_scope :premises (@p368) :args (@t82)) % 0.20/0.50 (step @p67 :rule implies_elim :premises (@p65)) % 0.20/0.50 (step @p68 :rule eq_resolve :premises (@p67 @p62)) % 0.20/0.50 (step @p69 :rule chain_m_resolution :premises (@p68 @p59) :args (@t61 @t84 (@list @t76))) % 0.20/0.50 (step @p70 :rule aci_norm :args ((= @t94 @t92))) % 0.20/0.50 (step @p71 :rule cong :premises (@p70) :args (@t96)) % 0.20/0.50 (step @p72 :rule quant-merge-prenex :args ((= (forall @t99 @t98) @t96))) % 0.20/0.50 (step @p73 :rule alpha_equiv :args (@t100 (@list @t85) @t101)) % 0.20/0.50 (step @p74 :rule refl :args (@t90)) % 0.20/0.50 (step @p75 :rule refl :args (@t91)) % 0.20/0.50 (step @p76 :rule nary_cong :premises (@p75 @p74 @p73) :args (@t102)) % 0.20/0.50 (step @p77 :rule quant-miniscope-or :args ((= @t98 @t102))) % 0.20/0.50 (step @p78 :rule trans :premises (@p77 @p76)) % 0.20/0.50 (step @p79 :rule symm :premises (@p78)) % 0.20/0.50 (step @p80 :rule cong :premises (@p79) :args (@t103)) % 0.20/0.50 (step @p81 :rule trans :premises (@p80 @p72)) % 0.20/0.50 (step @p82 :rule trans :premises (@p81 @p71)) % 0.20/0.50 (step @p83 :rule quant-merge-prenex :args ((= (forall @t106 @t105) @t61))) % 0.20/0.50 (step @p84 :rule alpha_equiv :args (@t107 (@list @t52) @t101)) % 0.20/0.50 (step @p85 :rule quant-unused-vars :args ((= @t108 @t107))) % 0.20/0.50 (step @p86 :rule trans :premises (@p85 @p84)) % 0.20/0.50 (step @p87 :rule alpha_equiv :args (@t109 (@list @t55) @t101)) % 0.20/0.50 (step @p88 :rule quant-unused-vars :args ((= @t110 @t109))) % 0.20/0.50 (step @p89 :rule trans :premises (@p88 @p87)) % 0.20/0.50 (step @p90 :rule nary_cong :premises (@p89 @p86) :args (@t111)) % 0.20/0.50 (step @p91 :rule quant-miniscope-and :args ((= @t112 @t111))) % 0.20/0.50 (step @p92 :rule trans :premises (@p91 @p90)) % 0.20/0.50 (step @p93 :rule refl :args (@t59)) % 0.20/0.50 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t113)) % 0.20/0.50 (step @p95 :rule quant-miniscope-or :args ((= @t105 @t113))) % 0.20/0.50 (step @p96 :rule trans :premises (@p95 @p94)) % 0.20/0.50 (step @p97 :rule symm :premises (@p96)) % 0.20/0.50 (step @p98 :rule cong :premises (@p97) :args (@t114)) % 0.20/0.50 (step @p99 :rule trans :premises (@p98 @p83)) % 0.20/0.50 (step @p100 :rule nary_cong :premises (@p99 @p82) :args ((and @t114 @t103))) % 0.20/0.50 (step @p101 :rule alpha_equiv :args (@t122 @t123 (@list @t87))) % 0.20/0.50 (step @p102 :rule alpha_equiv :args (@t126 @t123 (@list @t53))) % 0.20/0.50 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t127)) % 0.20/0.50 (step @p104 :rule quant-miniscope-and :args ((= (forall @t41 (and @t125 @t121)) @t127))) % 0.20/0.50 (step @p105 :rule trans :premises (@p104 @p103)) % 0.20/0.50 (step @p106 :rule trans :premises (@p105 @p100)) % 0.20/0.50 (step @p107 :rule aci_norm :args ((= (or (or @t120 @t118) @t116) @t121))) % 0.20/0.50 (step @p108 :rule refl :args (@t116)) % 0.20/0.50 (step @p109 :rule bool-and-de-morgan :args (@t119 @t117 true)) % 0.20/0.50 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t128)) % 0.20/0.50 (step @p111 :rule trans :premises (@p110 @p107)) % 0.20/0.50 (step @p112 :rule refl :args (@t125)) % 0.20/0.50 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t129)) % 0.20/0.50 (step @p114 :rule cong :premises (@p113) :args ((forall @t41 @t129))) % 0.20/0.50 (step @p115 :rule trans :premises (@p114 @p106)) % 0.20/0.50 (step @p116 :rule beta-reduce :args ((= @t136 @t129))) % 0.20/0.50 (step @p117 :rule cong :premises (@p116) :args (@t137)) % 0.20/0.50 (step @p118 :rule trans :premises (@p117 @p115)) % 0.20/0.50 (step @p119 :rule beta-reduce :args ((= (_ @t139 @t135) @t137))) % 0.20/0.50 (step @p120 :rule trans :premises (@p119 @p118)) % 0.20/0.50 (step @p121 :rule refl :args (@t131)) % 0.20/0.50 (step @p122 :rule beta-reduce :args ((= @t145 @t132))) % 0.20/0.50 (step @p123 :rule cong :premises (@p122) :args (@t146)) % 0.20/0.50 (step @p124 :rule nary_cong :premises (@p123 @p121) :args (@t147)) % 0.20/0.50 (step @p125 :rule refl :args (@t133)) % 0.20/0.50 (step @p126 :rule nary_cong :premises (@p125 @p122) :args (@t148)) % 0.20/0.50 (step @p127 :rule nary_cong :premises (@p126 @p124) :args (@t149)) % 0.20/0.50 (step @p128 :rule cong :premises (@p127) :args (@t150)) % 0.20/0.50 (step @p129 :rule beta-reduce :args ((= (_ (lambda @t153 (and (or @t133 @t151) (or @t152 @t131))) @t144) @t150))) % 0.20/0.50 (step @p130 :rule trans :premises (@p129 @p128)) % 0.20/0.50 (step @p131 :rule beta-reduce :args ((= @t156 @t141))) % 0.20/0.50 (step @p132 :rule refl :args (@t142)) % 0.20/0.50 (step @p133 :rule nary_cong :premises (@p132 @p131) :args (@t157)) % 0.20/0.50 (step @p134 :rule cong :premises (@p133) :args (@t158)) % 0.20/0.50 (step @p135 :rule beta-reduce :args ((= (_ (lambda @t159 (and @t142 @t12)) @t155) @t158))) % 0.20/0.50 (step @p136 :rule trans :premises (@p135 @p134)) % 0.20/0.50 (step @p137 :rule beta-reduce :args ((= (_ @t161 tptp.b) @t155))) % 0.20/0.50 (step @p138 :rule refl :args (tptp.b)) % 0.20/0.50 (step @p139 :rule beta-reduce :args ((= @t163 @t161))) % 0.20/0.50 (step @p140 :rule ho_cong :premises (@p139 @p138)) % 0.20/0.50 (step @p141 :rule trans :premises (@p140 @p137)) % 0.20/0.50 (step @p142 :rule refl :args (@t12)) % 0.20/0.50 (step @p143 :rule beta-reduce :args ((= @t165 @t142))) % 0.20/0.50 (step @p144 :rule nary_cong :premises (@p143 @p142) :args (@t166)) % 0.20/0.50 (step @p145 :rule cong :premises (@p144) :args (@t167)) % 0.20/0.50 (step @p146 :rule beta-reduce :args ((= (_ @t15 @t164) @t167))) % 0.20/0.50 (step @p147 :rule trans :premises (@p146 @p145)) % 0.20/0.50 (step @p148 :rule beta-reduce :args ((= (_ @t161 tptp.a) @t164))) % 0.20/0.50 (step @p149 :rule refl :args (tptp.a)) % 0.20/0.50 (step @p150 :rule ho_cong :premises (@p139 @p149)) % 0.20/0.50 (step @p151 :rule trans :premises (@p150 @p148)) % 0.20/0.50 (step @p152 :rule refl :args (@t15)) % 0.20/0.50 (step @p153 :rule ho_cong :premises (@p152 @p151)) % 0.20/0.50 (step @p154 :rule trans :premises (@p153 @p147)) % 0.20/0.50 (step @p155 :rule ho_cong :premises (@p154 @p141)) % 0.20/0.50 (step @p156 :rule trans :premises (@p155 @p136)) % 0.20/0.50 (step @p157 :rule beta-reduce :args ((= @t169 @t131))) % 0.20/0.50 (step @p158 :rule refl :args (@t152)) % 0.20/0.50 (step @p159 :rule nary_cong :premises (@p158 @p157) :args (@t170)) % 0.20/0.50 (step @p160 :rule refl :args (@t151)) % 0.20/0.50 (step @p161 :rule cong :premises (@p157) :args (@t171)) % 0.20/0.50 (step @p162 :rule nary_cong :premises (@p161 @p160) :args (@t172)) % 0.20/0.50 (step @p163 :rule nary_cong :premises (@p162 @p159) :args (@t173)) % 0.20/0.50 (step @p164 :rule cong :premises (@p163) :args (@t174)) % 0.20/0.50 (step @p165 :rule beta-reduce :args ((= (_ @t180 @t168) @t174))) % 0.20/0.50 (step @p166 :rule trans :premises (@p165 @p164)) % 0.20/0.50 (step @p167 :rule refl :args (@t49)) % 0.20/0.50 (step @p168 :rule refl :args (@t181)) % 0.20/0.50 (step @p169 :rule cong :premises (@p168 @p167) :args ((= @t181 @t49))) % 0.20/0.50 (step @p170 :rule symm :premises (@p169)) % 0.20/0.50 (step @p171 :rule eq_resolve :premises (@p168 @p170)) % 0.20/0.50 (step @p172 :rule refl :args (@t50)) % 0.20/0.50 (step @p173 :rule refl :args (@t182)) % 0.20/0.50 (step @p174 :rule cong :premises (@p173 @p172) :args ((= @t182 @t50))) % 0.20/0.50 (step @p175 :rule symm :premises (@p174)) % 0.20/0.50 (step @p176 :rule eq_resolve :premises (@p173 @p175)) % 0.20/0.50 (step @p177 :rule nary_cong :premises (@p176 @p171) :args (@t183)) % 0.20/0.50 (step @p178 :rule refl :args (@t154)) % 0.20/0.50 (step @p179 :rule nary_cong :premises (@p178 @p177) :args (@t184)) % 0.20/0.50 (step @p180 :rule cong :premises (@p179) :args ((forall @t27 @t184))) % 0.20/0.50 (step @p181 :rule beta-reduce :args ((= @t187 @t183))) % 0.20/0.50 (step @p182 :rule refl :args (@t154)) % 0.20/0.50 (step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t188)) % 0.20/0.50 (step @p184 :rule cong :premises (@p183) :args (@t189)) % 0.20/0.50 (step @p185 :rule trans :premises (@p184 @p180)) % 0.20/0.50 (step @p186 :rule cong :premises (@p185) :args (@t190)) % 0.20/0.50 (step @p187 :rule beta-reduce :args ((= (_ @t161 @t186) @t190))) % 0.20/0.50 (step @p188 :rule trans :premises (@p187 @p186)) % 0.20/0.50 (step @p189 :rule beta-reduce :args ((= (_ @t191 tptp.b) @t186))) % 0.20/0.50 (step @p190 :rule beta-reduce :args ((= @t192 @t191))) % 0.20/0.50 (step @p191 :rule ho_cong :premises (@p190 @p138)) % 0.20/0.50 (step @p192 :rule trans :premises (@p191 @p189)) % 0.20/0.50 (step @p193 :rule ho_cong :premises (@p139 @p192)) % 0.20/0.50 (step @p194 :rule trans :premises (@p193 @p188)) % 0.20/0.50 (step @p195 :rule refl :args (@t180)) % 0.20/0.50 (step @p196 :rule ho_cong :premises (@p195 @p194)) % 0.20/0.50 (step @p197 :rule trans :premises (@p196 @p166)) % 0.20/0.50 (step @p198 :rule ho_cong :premises (@p197 @p156)) % 0.20/0.50 (step @p199 :rule trans :premises (@p198 @p130)) % 0.20/0.50 (step @p200 :rule refl :args (@t139)) % 0.20/0.50 (step @p201 :rule ho_cong :premises (@p200 @p199)) % 0.20/0.50 (step @p202 :rule trans :premises (@p201 @p120)) % 0.20/0.50 (step @p203 :rule cong :premises (@p202) :args ((not (_ @t139 (_ (_ @t180 (_ @t163 (_ @t192 tptp.b))) (_ (_ @t15 (_ @t163 tptp.a)) (_ @t163 tptp.b))))))) % 0.20/0.50 (step @p204 :rule refl :args (tptp.r)) % 0.20/0.50 (step @p205 :rule refl :args (@t160)) % 0.20/0.50 (step @p206 :rule refl :args (@t24)) % 0.20/0.50 (step @p207 :rule cong :premises (@p206 @p205) :args ((= @t24 @t160))) % 0.20/0.50 (step @p208 :rule symm :premises (@p207)) % 0.20/0.50 (step @p209 :rule eq_resolve :premises (@p206 @p208)) % 0.20/0.50 (step @p210 :rule refl :args (@t162)) % 0.20/0.50 (step @p211 :rule refl :args (@t26)) % 0.20/0.50 (step @p212 :rule cong :premises (@p211 @p210) :args ((= @t26 @t162))) % 0.20/0.50 (step @p213 :rule symm :premises (@p212)) % 0.20/0.50 (step @p214 :rule eq_resolve :premises (@p211 @p213)) % 0.20/0.50 (step @p215 :rule cong :premises (@p214) :args (@t193)) % 0.20/0.50 (step @p216 :rule nary_cong :premises (@p215 @p209) :args (@t194)) % 0.20/0.50 (step @p217 :rule cong :premises (@p216) :args ((forall @t27 @t194))) % 0.20/0.50 (step @p218 :rule bool-impl-elim :args (@t26 @t24)) % 0.20/0.50 (step @p219 :rule cong :premises (@p218) :args (@t28)) % 0.20/0.50 (step @p220 :rule trans :premises (@p219 @p217)) % 0.20/0.50 (step @p221 :rule cong :premises (@p220) :args (@t30)) % 0.20/0.50 (step @p222 :rule trans :premises (@p10 @p221)) % 0.20/0.50 (step @p223 :rule ho_cong :premises (@p222 @p204)) % 0.20/0.50 (step @p224 :rule ho_cong :premises (@p223 @p138)) % 0.20/0.50 (step @p225 :rule ho_cong :premises (@p223 @p149)) % 0.20/0.50 (step @p226 :rule ho_cong :premises (@p7 @p225)) % 0.20/0.50 (step @p227 :rule ho_cong :premises (@p226 @p224)) % 0.20/0.50 (step @p228 :rule ho_cong :premises (@p7 @p149)) % 0.20/0.50 (step @p229 :rule ho_cong :premises (@p228 @p138)) % 0.20/0.50 (step @p230 :rule ho_cong :premises (@p223 @p229)) % 0.20/0.50 (step @p231 :rule beta-reduce :args ((= (_ (lambda @t143 (and @t199 @t197)) @t16) @t179))) % 0.20/0.50 (step @p232 :rule refl :args (@t16)) % 0.20/0.50 (step @p233 :rule beta-reduce :args ((= @t201 @t197))) % 0.20/0.50 (step @p234 :rule refl :args (@t199)) % 0.20/0.50 (step @p235 :rule nary_cong :premises (@p234 @p233) :args (@t202)) % 0.20/0.50 (step @p236 :rule cong :premises (@p235) :args (@t203)) % 0.20/0.50 (step @p237 :rule beta-reduce :args ((= (_ (lambda @t159 (and @t199 @t12)) @t200) @t203))) % 0.20/0.50 (step @p238 :rule trans :premises (@p237 @p236)) % 0.20/0.50 (step @p239 :rule beta-reduce :args ((= (_ @t206 @t18) @t200))) % 0.20/0.50 (step @p240 :rule refl :args (@t18)) % 0.20/0.50 (step @p241 :rule beta-reduce :args ((= (_ (lambda (@list @t18 @t204 @t16) (or @t177 @t205)) @t17) @t206))) % 0.20/0.50 (step @p242 :rule refl :args (@t17)) % 0.20/0.50 (step @p243 :rule alpha_equiv :args (@t207 (@list @t17) (@list @t204))) % 0.20/0.50 (step @p244 :rule ho_cong :premises (@p243 @p242)) % 0.20/0.50 (step @p245 :rule trans :premises (@p244 @p241)) % 0.20/0.50 (step @p246 :rule ho_cong :premises (@p245 @p240)) % 0.20/0.50 (step @p247 :rule trans :premises (@p246 @p239)) % 0.20/0.50 (step @p248 :rule beta-reduce :args ((= @t209 @t199))) % 0.20/0.50 (step @p249 :rule nary_cong :premises (@p248 @p142) :args (@t210)) % 0.20/0.50 (step @p250 :rule cong :premises (@p249) :args (@t211)) % 0.20/0.50 (step @p251 :rule beta-reduce :args ((= (_ @t15 @t208) @t211))) % 0.20/0.50 (step @p252 :rule trans :premises (@p251 @p250)) % 0.20/0.50 (step @p253 :rule beta-reduce :args ((= (_ @t212 @t17) @t208))) % 0.20/0.50 (step @p254 :rule refl :args (@t17)) % 0.20/0.51 (step @p255 :rule beta-reduce :args ((= (_ @t207 @t18) @t212))) % 0.20/0.51 (step @p256 :rule ho_cong :premises (@p255 @p254)) % 0.20/0.51 (step @p257 :rule trans :premises (@p256 @p253)) % 0.20/0.51 (step @p258 :rule ho_cong :premises (@p152 @p257)) % 0.20/0.51 (step @p259 :rule trans :premises (@p258 @p252)) % 0.20/0.51 (step @p260 :rule ho_cong :premises (@p259 @p247)) % 0.20/0.51 (step @p261 :rule trans :premises (@p260 @p238)) % 0.20/0.51 (step @p262 :rule ho_cong :premises (@p261 @p232)) % 0.20/0.51 (step @p263 :rule trans :premises (@p262 @p231)) % 0.20/0.51 (step @p264 :rule beta-reduce :args ((= (_ @t213 @t16) @t178))) % 0.20/0.51 (step @p265 :rule beta-reduce :args ((= (_ (lambda @t159 (or @t198 @t12)) @t17) @t213))) % 0.20/0.51 (step @p266 :rule beta-reduce :args ((= @t215 @t198))) % 0.20/0.51 (step @p267 :rule nary_cong :premises (@p266 @p142) :args (@t216)) % 0.20/0.51 (step @p268 :rule cong :premises (@p267) :args (@t217)) % 0.20/0.51 (step @p269 :rule beta-reduce :args ((= (_ @t14 @t214) @t217))) % 0.20/0.51 (step @p270 :rule trans :premises (@p269 @p268)) % 0.20/0.51 (step @p271 :rule beta-reduce :args ((= (_ @t10 @t18) @t214))) % 0.20/0.51 (step @p272 :rule refl :args (@t14)) % 0.20/0.51 (step @p273 :rule ho_cong :premises (@p272 @p271)) % 0.20/0.51 (step @p274 :rule trans :premises (@p273 @p270)) % 0.20/0.51 (step @p275 :rule ho_cong :premises (@p274 @p254)) % 0.20/0.51 (step @p276 :rule trans :premises (@p275 @p265)) % 0.20/0.51 (step @p277 :rule ho_cong :premises (@p276 @p232)) % 0.20/0.51 (step @p278 :rule trans :premises (@p277 @p264)) % 0.20/0.51 (step @p279 :rule ho_cong :premises (@p5 @p240)) % 0.20/0.51 (step @p280 :rule ho_cong :premises (@p6 @p279)) % 0.20/0.51 (step @p281 :rule ho_cong :premises (@p280 @p254)) % 0.20/0.51 (step @p282 :rule ho_cong :premises (@p281 @p232)) % 0.20/0.51 (step @p283 :rule trans :premises (@p282 @p278)) % 0.20/0.51 (step @p284 :rule cong :premises (@p283) :args (@t20)) % 0.20/0.51 (step @p285 :rule trans :premises (@p8 @p284)) % 0.20/0.51 (step @p286 :rule ho_cong :premises (@p285 @p254)) % 0.20/0.51 (step @p287 :rule ho_cong :premises (@p286 @p240)) % 0.20/0.51 (step @p288 :rule ho_cong :premises (@p285 @p240)) % 0.20/0.51 (step @p289 :rule ho_cong :premises (@p288 @p254)) % 0.20/0.51 (step @p290 :rule ho_cong :premises (@p7 @p289)) % 0.20/0.51 (step @p291 :rule ho_cong :premises (@p290 @p287)) % 0.20/0.51 (step @p292 :rule ho_cong :premises (@p291 @p232)) % 0.20/0.51 (step @p293 :rule trans :premises (@p292 @p263)) % 0.20/0.51 (step @p294 :rule cong :premises (@p293) :args (@t21)) % 0.20/0.51 (step @p295 :rule trans :premises (@p9 @p294)) % 0.20/0.51 (step @p296 :rule ho_cong :premises (@p295 @p230)) % 0.20/0.51 (step @p297 :rule ho_cong :premises (@p296 @p227)) % 0.20/0.51 (step @p298 :rule refl :args (@t138)) % 0.20/0.51 (step @p299 :rule refl :args (@t40)) % 0.20/0.51 (step @p300 :rule cong :premises (@p299 @p298) :args ((= @t40 @t138))) % 0.20/0.51 (step @p301 :rule symm :premises (@p300)) % 0.20/0.51 (step @p302 :rule eq_resolve :premises (@p299 @p301)) % 0.20/0.51 (step @p303 :rule cong :premises (@p302) :args (@t42)) % 0.20/0.51 (step @p304 :rule cong :premises (@p303) :args (@t44)) % 0.20/0.51 (step @p305 :rule trans :premises (@p14 @p304)) % 0.20/0.51 (step @p306 :rule ho_cong :premises (@p305 @p297)) % 0.20/0.51 (step @p307 :rule cong :premises (@p306) :args (@t2)) % 0.20/0.51 (step @p308 :rule trans :premises (@p307 @p203)) % 0.20/0.51 (step @p309 :rule eq_resolve :premises (@p1 @p308)) % 0.20/0.51 (step @p310 :rule not_and :premises (@p309)) % 0.20/0.51 (step @p311 :rule chain_m_resolution :premises (@p310 @p69) :args (@t219 @t84 (@list @t61))) % 0.20/0.51 (step @p312 :rule refl :args (@t233)) % 0.20/0.51 (step @p313 :rule bool-double-not-elim :args (@t218)) % 0.20/0.51 (step @p314 :rule nary_cong :premises (@p313 @p312) :args ((or (not @t219) @t233))) % 0.20/0.51 (assume-push @p369 @t219) % 0.20/0.51 (step @p316 :rule skolemize :premises (@p369)) % 0.20/0.51 (step-pop @p370 :rule scope :premises (@p316)) % 0.20/0.51 (step @p317 :rule process_scope :premises (@p370) :args (@t233)) % 0.20/0.51 (step @p319 :rule implies_elim :premises (@p317)) % 0.20/0.51 (step @p320 :rule eq_resolve :premises (@p319 @p314)) % 0.20/0.51 (step @p321 :rule chain_m_resolution :premises (@p320 @p311) :args (@t233 @t234 (@list @t218))) % 0.20/0.51 (step @p322 :rule bool-double-not-elim :args (@t228)) % 0.20/0.51 (step @p323 :rule refl :args (@t232)) % 0.20/0.51 (step @p324 :rule nary_cong :premises (@p323 @p322) :args ((or @t232 (not @t229)))) % 0.20/0.51 (step @p325 :rule cnf_or_neg :args (@t232 1)) % 0.20/0.51 (step @p326 :rule eq_resolve :premises (@p325 @p324)) % 0.20/0.51 (step @p327 :rule reordering :premises (@p326) :args ((or @t228 @t232))) % 0.20/0.51 (step @p328 :rule chain_m_resolution :premises (@p327 @p321) :args (@t228 @t234 @t235)) % 0.20/0.51 (step @p329 :rule bool-double-not-elim :args (@t230)) % 0.20/0.51 (step @p330 :rule nary_cong :premises (@p323 @p329) :args ((or @t232 (not @t231)))) % 0.20/0.51 (step @p331 :rule cnf_or_neg :args (@t232 0)) % 0.20/0.51 (step @p332 :rule eq_resolve :premises (@p331 @p330)) % 0.20/0.51 (step @p333 :rule reordering :premises (@p332) :args ((or @t230 @t232))) % 0.20/0.51 (step @p334 :rule chain_m_resolution :premises (@p333 @p321) :args (@t230 @t234 @t235)) % 0.20/0.51 (assume-push @p371 @t230) % 0.20/0.51 (step @p336 :rule instantiate :premises (@p371) :args (@t236)) % 0.20/0.51 (step-pop @p372 :rule scope :premises (@p336)) % 0.20/0.51 (step @p337 :rule process_scope :premises (@p372) :args (@t237)) % 0.20/0.51 (step @p339 :rule implies_elim :premises (@p337)) % 0.20/0.51 (step @p340 :rule chain_m_resolution :premises (@p339 @p334) :args (@t237 @t84 (@list @t230))) % 0.20/0.51 (step @p341 :rule bool-double-not-elim :args (@t225)) % 0.20/0.51 (step @p342 :rule nary_cong :premises (@p323 @p341) :args ((or @t232 (not @t226)))) % 0.20/0.51 (step @p343 :rule cnf_or_neg :args (@t232 2)) % 0.20/0.51 (step @p344 :rule eq_resolve :premises (@p343 @p342)) % 0.20/0.51 (step @p345 :rule reordering :premises (@p344) :args ((or @t225 @t232))) % 0.20/0.51 (step @p346 :rule chain_m_resolution :premises (@p345 @p321) :args (@t225 @t234 @t235)) % 0.20/0.51 (step @p347 :rule cnf_or_pos :args (@t237)) % 0.20/0.51 (step @p348 :rule reordering :premises (@p347) :args ((or @t226 @t222 (not @t237)))) % 0.20/0.51 (step @p349 :rule chain_m_resolution :premises (@p348 @p346 @p340) :args (@t222 (@list false false) (@list @t225 @t237))) % 0.20/0.51 (step @p350 :rule cnf_or_neg :args (@t232 3)) % 0.20/0.51 (step @p351 :rule chain_m_resolution :premises (@p350 @p321) :args ((not @t223) @t234 @t235)) % 0.20/0.51 (step @p352 :rule cnf_and_neg :args (@t223)) % 0.20/0.51 (step @p353 :rule chain_m_resolution :premises (@p352 @p351 @p349) :args ((not @t221) @t238 (@list @t223 @t222))) % 0.20/0.51 (step @p354 :rule cnf_or_pos :args (@t239)) % 0.20/0.51 (step @p355 :rule reordering :premises (@p354) :args ((or @t226 @t221 @t240))) % 0.20/0.51 (step @p356 :rule chain_m_resolution :premises (@p355 @p346 @p353) :args (@t240 (@list false true) (@list @t225 @t221))) % 0.20/0.51 (assume-push @p373 @t228) % 0.20/0.51 (step @p358 :rule instantiate :premises (@p373) :args (@t236)) % 0.20/0.51 (step-pop @p374 :rule scope :premises (@p358)) % 0.20/0.51 (step @p359 :rule process_scope :premises (@p374) :args (@t239)) % 0.20/0.51 (step @p361 :rule implies_elim :premises (@p359)) % 0.20/0.51 (step @p362 false :rule chain_m_resolution :premises (@p361 @p356 @p328) :args (false @t238 (@list @t239 @t228))) % 0.20/0.51 ) % 0.20/0.51 % SZS output end Proof % 0.20/0.51 % cvc5 exiting %------------------------------------------------------------------------------