%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV192^5 : 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 : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:55:35 AM UTC 2026 % Result : Theorem 151.01s 151.20s % Output : Proof 151.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEV192^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:18:14 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TH0 % 151.01/151.20 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.01/151.20 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 151.01/151.20 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 151.01/151.20 --- Run --ho-elim --full-saturate-quant at 18s... % 151.01/151.20 % SZS status Theorem % 151.01/151.20 % SZS output start Proof % 151.01/151.20 ( % 151.01/151.20 (declare-sort tptp.b 0) % 151.01/151.20 (declare-sort tptp.c 0) % 151.01/151.20 (declare-const tptp.c0 tptp.b) % 151.01/151.20 (declare-const tptp.cP (-> tptp.b tptp.b tptp.b)) % 151.01/151.20 (define @t1 () (@var "Xz" tptp.b)) % 151.01/151.20 (define @t2 () (@var "Xc" tptp.c)) % 151.01/151.20 (define @t3 () (@var "R" (-> tptp.c tptp.b Bool))) % 151.01/151.20 (define @t4 () (_ @t3 @t2)) % 151.01/151.20 (define @t5 () (_ @t4 @t1)) % 151.01/151.20 (define @t6 () (@var "S" (-> (-> tptp.c tptp.b Bool) Bool))) % 151.01/151.20 (define @t7 () (_ @t6 @t3)) % 151.01/151.20 (define @t8 () (@list @t3)) % 151.01/151.20 (define @t9 () (forall @t8 (=> @t7 @t5))) % 151.01/151.20 (define @t10 () (@var "Xy" tptp.b)) % 151.01/151.20 (define @t11 () (@var "Xx" tptp.b)) % 151.01/151.20 (define @t12 () (@var "R" (-> tptp.b tptp.b tptp.b Bool))) % 151.01/151.20 (define @t13 () (_ (_ @t12 @t11) @t10)) % 151.01/151.20 (define @t14 () (_ @t13 @t1)) % 151.01/151.20 (define @t15 () (@var "Xc0" tptp.b)) % 151.01/151.20 (define @t16 () (@var "Xb" tptp.b)) % 151.01/151.20 (define @t17 () (@var "Xa" tptp.b)) % 151.01/151.20 (define @t18 () (_ (_ (_ @t12 @t17) @t16) @t15)) % 151.01/151.20 (define @t19 () (@var "Xz2" tptp.b)) % 151.01/151.20 (define @t20 () (@var "Xy2" tptp.b)) % 151.01/151.20 (define @t21 () (@var "Xx2" tptp.b)) % 151.01/151.20 (define @t22 () (_ (_ (_ @t12 @t21) @t20) @t19)) % 151.01/151.20 (define @t23 () (@var "Xz1" tptp.b)) % 151.01/151.20 (define @t24 () (@var "Xy1" tptp.b)) % 151.01/151.20 (define @t25 () (@var "Xx1" tptp.b)) % 151.01/151.20 (define @t26 () (_ (_ (_ @t12 @t25) @t24) @t23)) % 151.01/151.20 (define @t27 () (_ (_ tptp.cP @t23) @t19)) % 151.01/151.20 (define @t28 () (= @t15 @t27)) % 151.01/151.20 (define @t29 () (_ (_ tptp.cP @t24) @t20)) % 151.01/151.20 (define @t30 () (= @t16 @t29)) % 151.01/151.20 (define @t31 () (_ (_ tptp.cP @t25) @t21)) % 151.01/151.20 (define @t32 () (= @t17 @t31)) % 151.01/151.20 (define @t33 () (and @t32 @t30 @t28 @t26 @t22)) % 151.01/151.20 (define @t34 () (@list @t25 @t21 @t24 @t20 @t23 @t19)) % 151.01/151.20 (define @t35 () (exists @t34 @t33)) % 151.01/151.20 (define @t36 () (= @t17 @t15)) % 151.01/151.20 (define @t37 () (and (= @t16 tptp.c0) @t36)) % 151.01/151.20 (define @t38 () (= @t16 @t15)) % 151.01/151.20 (define @t39 () (and (= @t17 tptp.c0) @t38)) % 151.01/151.20 (define @t40 () (or @t39 @t37 @t35)) % 151.01/151.20 (define @t41 () (=> @t40 @t18)) % 151.01/151.20 (define @t42 () (@list @t17 @t16 @t15)) % 151.01/151.20 (define @t43 () (forall @t42 @t41)) % 151.01/151.20 (define @t44 () (and true @t43)) % 151.01/151.20 (define @t45 () (=> @t44 @t14)) % 151.01/151.20 (define @t46 () (@list @t12)) % 151.01/151.20 (define @t47 () (forall @t46 @t45)) % 151.01/151.20 (define @t48 () (_ @t4 @t10)) % 151.01/151.20 (define @t49 () (forall @t8 (=> @t7 @t48))) % 151.01/151.20 (define @t50 () (_ @t4 @t11)) % 151.01/151.20 (define @t51 () (forall @t8 (=> @t7 @t50))) % 151.01/151.20 (define @t52 () (and @t51 @t49 @t47)) % 151.01/151.20 (define @t53 () (=> @t52 @t9)) % 151.01/151.20 (define @t54 () (@list @t11 @t10 @t1)) % 151.01/151.20 (define @t55 () (forall @t54 @t53)) % 151.01/151.20 (define @t56 () (_ @t13 @t10)) % 151.01/151.20 (define @t57 () (=> @t44 @t56)) % 151.01/151.20 (define @t58 () (forall @t46 @t57)) % 151.01/151.20 (define @t59 () (and @t49 @t58)) % 151.01/151.20 (define @t60 () (=> @t59 @t51)) % 151.01/151.20 (define @t61 () (@list @t11 @t10)) % 151.01/151.20 (define @t62 () (forall @t61 @t60)) % 151.01/151.20 (define @t63 () (_ @t4 tptp.c0)) % 151.01/151.20 (define @t64 () (forall @t8 (=> @t7 @t63))) % 151.01/151.20 (define @t65 () (and @t64 @t62 @t55)) % 151.01/151.20 (define @t66 () (@list @t2)) % 151.01/151.20 (define @t67 () (forall @t66 @t65)) % 151.01/151.20 (define @t68 () (@var "Xx" (-> tptp.c tptp.b Bool))) % 151.01/151.20 (define @t69 () (_ @t68 @t2)) % 151.01/151.20 (define @t70 () (_ @t69 @t1)) % 151.01/151.20 (define @t71 () (@var "Xx0" tptp.b)) % 151.01/151.20 (define @t72 () (_ (_ @t12 @t71) @t10)) % 151.01/151.20 (define @t73 () (_ @t72 @t1)) % 151.01/151.20 (define @t74 () (=> @t44 @t73)) % 151.01/151.20 (define @t75 () (forall @t46 @t74)) % 151.01/151.20 (define @t76 () (_ @t69 @t10)) % 151.01/151.20 (define @t77 () (_ @t69 @t71)) % 151.01/151.20 (define @t78 () (and @t77 @t76 @t75)) % 151.01/151.20 (define @t79 () (=> @t78 @t70)) % 151.01/151.20 (define @t80 () (@list @t71 @t10 @t1)) % 151.01/151.20 (define @t81 () (forall @t80 @t79)) % 151.01/151.20 (define @t82 () (_ @t72 @t10)) % 151.01/151.20 (define @t83 () (=> @t44 @t82)) % 151.01/151.20 (define @t84 () (forall @t46 @t83)) % 151.01/151.20 (define @t85 () (and @t76 @t84)) % 151.01/151.20 (define @t86 () (=> @t85 @t77)) % 151.01/151.20 (define @t87 () (@list @t71 @t10)) % 151.01/151.20 (define @t88 () (forall @t87 @t86)) % 151.01/151.20 (define @t89 () (_ @t69 tptp.c0)) % 151.01/151.20 (define @t90 () (and @t89 @t88 @t81)) % 151.01/151.20 (define @t91 () (forall @t66 @t90)) % 151.01/151.20 (define @t92 () (_ @t6 @t68)) % 151.01/151.20 (define @t93 () (=> @t92 @t91)) % 151.01/151.20 (define @t94 () (@list @t68)) % 151.01/151.20 (define @t95 () (forall @t94 @t93)) % 151.01/151.20 (define @t96 () (=> @t95 @t67)) % 151.01/151.20 (define @t97 () (@list @t6)) % 151.01/151.20 (define @t98 () (forall @t97 @t96)) % 151.01/151.20 (define @t99 () (not @t98)) % 151.01/151.20 (define @t100 () (@var "BOUND_VARIABLE_7897" tptp.b)) % 151.01/151.20 (define @t101 () (@var "BOUND_VARIABLE_7891" tptp.c)) % 151.01/151.20 (define @t102 () (@var "BOUND_VARIABLE_7925" (@ho-elim-sort (-> tptp.c tptp.b Bool)))) % 151.01/151.20 (define @t103 () (@const 0 (-> (@ho-elim-sort (-> tptp.c tptp.b Bool)) tptp.c (@ho-elim-sort (-> tptp.b Bool))))) % 151.01/151.20 (define @t104 () (@const 1 (-> (@ho-elim-sort (-> tptp.b Bool)) tptp.b Bool))) % 151.01/151.20 (define @t105 () (@var "BOUND_VARIABLE_7936" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.c tptp.b Bool)) Bool)))) % 151.01/151.20 (define @t106 () (@const 2 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.c tptp.b Bool)) Bool)) (@ho-elim-sort (-> tptp.c tptp.b Bool)) Bool))) % 151.01/151.20 (define @t107 () (@var "BOUND_VARIABLE_7895" tptp.b)) % 151.01/151.20 (define @t108 () (@var "BOUND_VARIABLE_7893" tptp.b)) % 151.01/151.20 (define @t109 () (@var "BOUND_VARIABLE_7945" (@ho-elim-sort (-> tptp.b tptp.b tptp.b Bool)))) % 151.01/151.20 (define @t110 () (@const 3 (-> (@ho-elim-sort (-> tptp.b tptp.b tptp.b Bool)) tptp.b (@ho-elim-sort (-> tptp.b tptp.b Bool))))) % 151.01/151.20 (define @t111 () (@const 4 (-> (@ho-elim-sort (-> tptp.b tptp.b Bool)) tptp.b (@ho-elim-sort (-> tptp.b Bool))))) % 151.01/151.20 (define @t112 () (@var "BOUND_VARIABLE_7592" tptp.b)) % 151.01/151.20 (define @t113 () (@var "BOUND_VARIABLE_7588" tptp.b)) % 151.01/151.20 (define @t114 () (@var "BOUND_VARIABLE_7584" tptp.b)) % 151.01/151.20 (define @t115 () (@var "BOUND_VARIABLE_7590" tptp.b)) % 151.01/151.20 (define @t116 () (@var "BOUND_VARIABLE_7586" tptp.b)) % 151.01/151.20 (define @t117 () (@var "BOUND_VARIABLE_7582" tptp.b)) % 151.01/151.20 (define @t118 () (@const 5 (@ho-elim-sort (-> tptp.b tptp.b tptp.b)))) % 151.01/151.20 (define @t119 () (@const 6 (-> (@ho-elim-sort (-> tptp.b tptp.b tptp.b)) tptp.b (@ho-elim-sort (-> tptp.b tptp.b))))) % 151.01/151.20 (define @t120 () (@const 7 (-> (@ho-elim-sort (-> tptp.b tptp.b)) tptp.b tptp.b))) % 151.01/151.20 (define @t121 () (= tptp.c0 @t16)) % 151.01/151.20 (define @t122 () (or (not @t121) (not @t36))) % 151.01/151.20 (define @t123 () (= tptp.c0 @t17)) % 151.01/151.20 (define @t124 () (or (not @t123) (not @t38))) % 151.01/151.20 (define @t125 () (@list @t17 @t16 @t15 @t117 @t114 @t116 @t113 @t115 @t112)) % 151.01/151.20 (define @t126 () (not (forall @t125 (or (and @t124 @t122 (or (not (= @t17 (_ @t120 (_ @t119 @t118 @t117) @t114))) (not (= @t16 (_ @t120 (_ @t119 @t118 @t116) @t113))) (not (= @t15 (_ @t120 (_ @t119 @t118 @t115) @t112))) (not (_ @t104 (_ @t111 (_ @t110 @t109 @t117) @t116) @t115)) (not (_ @t104 (_ @t111 (_ @t110 @t109 @t114) @t113) @t112)))) (_ @t104 (_ @t111 (_ @t110 @t109 @t17) @t16) @t15))))) % 151.01/151.20 (define @t127 () (@list @t109)) % 151.01/151.20 (define @t128 () (@var "BOUND_VARIABLE_8007" (@ho-elim-sort (-> tptp.c tptp.b Bool)))) % 151.01/151.20 (define @t129 () (_ @t103 @t128 @t101)) % 151.01/151.20 (define @t130 () (not (_ @t106 @t105 @t128))) % 151.01/151.20 (define @t131 () (@list @t128)) % 151.01/151.20 (define @t132 () (@var "BOUND_VARIABLE_7873" tptp.b)) % 151.01/151.20 (define @t133 () (@var "BOUND_VARIABLE_7871" tptp.c)) % 151.01/151.20 (define @t134 () (@var "BOUND_VARIABLE_8024" (@ho-elim-sort (-> tptp.c tptp.b Bool)))) % 151.01/151.20 (define @t135 () (@var "BOUND_VARIABLE_7875" tptp.b)) % 151.01/151.20 (define @t136 () (@var "BOUND_VARIABLE_7863" tptp.c)) % 151.01/151.20 (define @t137 () (@var "BOUND_VARIABLE_8049" (@ho-elim-sort (-> tptp.c tptp.b Bool)))) % 151.01/151.20 (define @t138 () (@var "BOUND_VARIABLE_7722" tptp.b)) % 151.01/151.20 (define @t139 () (@var "BOUND_VARIABLE_7716" tptp.c)) % 151.01/151.20 (define @t140 () (@var "BOUND_VARIABLE_8059" (@ho-elim-sort (-> tptp.c tptp.b Bool)))) % 151.01/151.20 (define @t141 () (_ @t103 @t140 @t139)) % 151.01/151.20 (define @t142 () (@var "BOUND_VARIABLE_7720" tptp.b)) % 151.01/151.20 (define @t143 () (@var "BOUND_VARIABLE_7718" tptp.b)) % 151.01/151.20 (define @t144 () (@var "BOUND_VARIABLE_7704" tptp.b)) % 151.01/151.20 (define @t145 () (@var "BOUND_VARIABLE_7702" tptp.c)) % 151.01/151.20 (define @t146 () (_ @t103 @t140 @t145)) % 151.01/151.20 (define @t147 () (@var "BOUND_VARIABLE_7706" tptp.b)) % 151.01/151.20 (define @t148 () (@var "BOUND_VARIABLE_7699" tptp.c)) % 151.01/151.20 (define @t149 () (and (_ @t104 (_ @t103 @t140 @t148) tptp.c0) (or (not (_ @t104 @t146 @t147)) (not (forall @t127 (or @t126 (_ @t104 (_ @t111 (_ @t110 @t109 @t144) @t147) @t147)))) (_ @t104 @t146 @t144)) (or (not (_ @t104 @t141 @t143)) (not (_ @t104 @t141 @t142)) (not (forall @t127 (or @t126 (_ @t104 (_ @t111 (_ @t110 @t109 @t143) @t142) @t138)))) (_ @t104 @t141 @t138)))) % 151.01/151.20 (define @t150 () (@list @t140 @t148 @t145 @t144 @t147 @t139 @t143 @t142 @t138)) % 151.01/151.20 (define @t151 () (forall (@list @t105 @t136 @t137 @t133 @t132 @t135 @t134 @t101 @t108 @t107 @t100 @t102) (or (not (forall @t150 (or (not (_ @t106 @t105 @t140)) @t149))) (and (or (not (_ @t106 @t105 @t137)) (_ @t104 (_ @t103 @t137 @t136) tptp.c0)) (or (not (forall @t131 (or @t130 (_ @t104 (_ @t103 @t128 @t133) @t135)))) (not (forall @t127 (or @t126 (_ @t104 (_ @t111 (_ @t110 @t109 @t132) @t135) @t135)))) (not (_ @t106 @t105 @t134)) (_ @t104 (_ @t103 @t134 @t133) @t132)) (or (not (forall @t131 (or @t130 (_ @t104 @t129 @t108)))) (not (forall @t131 (or @t130 (_ @t104 @t129 @t107)))) (not (forall @t127 (or @t126 (_ @t104 (_ @t111 (_ @t110 @t109 @t108) @t107) @t100)))) (not (_ @t106 @t105 @t102)) (_ @t104 (_ @t103 @t102 @t101) @t100)))))) % 151.01/151.20 (define @t152 () (@quantifiers_skolemize @t151 8)) % 151.01/151.20 (define @t153 () (@quantifiers_skolemize @t151 7)) % 151.01/151.20 (define @t154 () (_ @t103 @t128 @t153)) % 151.01/151.20 (define @t155 () (@quantifiers_skolemize @t151 0)) % 151.01/151.20 (define @t156 () (not (_ @t106 @t155 @t128))) % 151.01/151.20 (define @t157 () (forall @t131 (or @t156 (_ @t104 @t154 @t152)))) % 151.01/151.20 (define @t158 () (@quantifiers_skolemize @t151 10)) % 151.01/151.20 (define @t159 () (@quantifiers_skolemize @t151 11)) % 151.01/151.20 (define @t160 () (_ @t103 @t159 @t153)) % 151.01/151.20 (define @t161 () (_ @t104 @t160 @t158)) % 151.01/151.20 (define @t162 () (_ @t106 @t155 @t159)) % 151.01/151.20 (define @t163 () (not @t162)) % 151.01/151.20 (define @t164 () (@quantifiers_skolemize @t151 9)) % 151.01/151.20 (define @t165 () (forall @t127 (or @t126 (_ @t104 (_ @t111 (_ @t110 @t109 @t152) @t164) @t158)))) % 151.01/151.20 (define @t166 () (not @t165)) % 151.01/151.20 (define @t167 () (forall @t131 (or @t156 (_ @t104 @t154 @t164)))) % 151.01/151.20 (define @t168 () (not @t167)) % 151.01/151.20 (define @t169 () (not @t157)) % 151.01/151.20 (define @t170 () (or @t169 @t168 @t166 @t163 @t161)) % 151.01/151.20 (define @t171 () (@list @t159)) % 151.01/151.20 (define @t172 () (_ @t104 @t160 @t152)) % 151.01/151.20 (define @t173 () (or @t163 @t172)) % 151.01/151.20 (define @t174 () (_ @t104 @t160 @t164)) % 151.01/151.20 (define @t175 () (or @t163 @t174)) % 151.01/151.20 (define @t176 () (@var "BOUND_VARIABLE_7899" (-> tptp.c tptp.b Bool))) % 151.01/151.20 (define @t177 () (_ @t12 @t17 @t16 @t15)) % 151.01/151.20 (define @t178 () (or (not (= @t17 (tptp.cP @t117 @t114))) (not (= @t16 (tptp.cP @t116 @t113))) (not (= @t15 (tptp.cP @t115 @t112))) (not (_ @t12 @t117 @t116 @t115)) (not (_ @t12 @t114 @t113 @t112)))) % 151.01/151.20 (define @t179 () (and @t124 @t122 @t178)) % 151.01/151.20 (define @t180 () (or @t179 @t177)) % 151.01/151.20 (define @t181 () (forall @t125 @t180)) % 151.01/151.20 (define @t182 () (not @t181)) % 151.01/151.20 (define @t183 () (_ @t6 @t3)) % 151.01/151.20 (define @t184 () (not @t183)) % 151.01/151.20 (define @t185 () (or (not (forall @t8 (or @t184 (_ @t3 @t101 @t108)))) (not (forall @t8 (or @t184 (_ @t3 @t101 @t107)))) (not (forall @t46 (or @t182 (_ @t12 @t108 @t107 @t100)))) (not (_ @t6 @t176)) (_ @t176 @t101 @t100))) % 151.01/151.20 (define @t186 () (@var "BOUND_VARIABLE_7877" (-> tptp.c tptp.b Bool))) % 151.01/151.20 (define @t187 () (or (not (forall @t8 (or @t184 (_ @t3 @t133 @t135)))) (not (forall @t46 (or @t182 (_ @t12 @t132 @t135 @t135)))) (not (_ @t6 @t186)) (_ @t186 @t133 @t132))) % 151.01/151.20 (define @t188 () (@var "BOUND_VARIABLE_7865" (-> tptp.c tptp.b Bool))) % 151.01/151.20 (define @t189 () (or (not (_ @t6 @t188)) (_ @t188 @t136 tptp.c0))) % 151.01/151.20 (define @t190 () (and @t189 @t187 @t185)) % 151.01/151.20 (define @t191 () (or (not (_ @t68 @t139 @t143)) (not (_ @t68 @t139 @t142)) (not (forall @t46 (or @t182 (_ @t12 @t143 @t142 @t138)))) (_ @t68 @t139 @t138))) % 151.01/151.20 (define @t192 () (or (not (_ @t68 @t145 @t147)) (not (forall @t46 (or @t182 (_ @t12 @t144 @t147 @t147)))) (_ @t68 @t145 @t144))) % 151.01/151.20 (define @t193 () (_ @t68 @t148 tptp.c0)) % 151.01/151.20 (define @t194 () (and @t193 @t192 @t191)) % 151.01/151.20 (define @t195 () (_ @t6 @t68)) % 151.01/151.20 (define @t196 () (not @t195)) % 151.01/151.20 (define @t197 () (or @t196 @t194)) % 151.01/151.20 (define @t198 () (forall (@list @t68 @t148 @t145 @t144 @t147 @t139 @t143 @t142 @t138) @t197)) % 151.01/151.20 (define @t199 () (not @t198)) % 151.01/151.20 (define @t200 () (or @t199 @t190)) % 151.01/151.20 (define @t201 () (forall (@list @t6 @t136 @t188 @t133 @t132 @t135 @t186 @t101 @t108 @t107 @t100 @t176) @t200)) % 151.01/151.20 (define @t202 () (@list @t136 @t188 @t133 @t132 @t135 @t186 @t101 @t108 @t107 @t100 @t176)) % 151.01/151.20 (define @t203 () (forall @t202 @t200)) % 151.01/151.20 (define @t204 () (forall (@list @t101 @t108 @t107 @t100 @t176) @t185)) % 151.01/151.20 (define @t205 () (@var "BOUND_VARIABLE_7804" (-> tptp.c tptp.b Bool))) % 151.01/151.21 (define @t206 () (@var "BOUND_VARIABLE_7835" tptp.c)) % 151.01/151.21 (define @t207 () (forall @t202 @t185)) % 151.01/151.21 (define @t208 () (forall (@list @t133 @t132 @t135 @t186) @t187)) % 151.01/151.21 (define @t209 () (@var "BOUND_VARIABLE_7772" (-> tptp.c tptp.b Bool))) % 151.01/151.21 (define @t210 () (@var "BOUND_VARIABLE_7824" tptp.c)) % 151.01/151.21 (define @t211 () (forall @t202 @t187)) % 151.01/151.21 (define @t212 () (forall (@list @t136 @t188) @t189)) % 151.01/151.21 (define @t213 () (@var "BOUND_VARIABLE_7817" tptp.c)) % 151.01/151.21 (define @t214 () (forall @t202 @t189)) % 151.01/151.21 (define @t215 () (and @t214 @t211 @t207)) % 151.01/151.21 (define @t216 () (forall @t202 @t190)) % 151.01/151.21 (define @t217 () (or @t199 @t216)) % 151.01/151.21 (define @t218 () (not (_ @t6 @t205))) % 151.01/151.21 (define @t219 () (_ @t12 @t11 @t10 @t1)) % 151.01/151.21 (define @t220 () (forall @t46 (or @t182 @t219))) % 151.01/151.21 (define @t221 () (not @t220)) % 151.01/151.21 (define @t222 () (or (not (forall @t8 (or @t184 (_ @t3 @t206 @t11)))) (not (forall @t8 (or @t184 (_ @t3 @t206 @t10)))) @t221 @t218 (_ @t205 @t206 @t1))) % 151.01/151.21 (define @t223 () (forall (@list @t206 @t11 @t10 @t1 @t205) @t222)) % 151.01/151.21 (define @t224 () (not (_ @t6 @t209))) % 151.01/151.21 (define @t225 () (_ @t12 @t11 @t10 @t10)) % 151.01/151.21 (define @t226 () (forall @t46 (or @t182 @t225))) % 151.01/151.21 (define @t227 () (not @t226)) % 151.01/151.21 (define @t228 () (or (not (forall @t8 (or @t184 (_ @t3 @t210 @t10)))) @t227 @t224 (_ @t209 @t210 @t11))) % 151.01/151.21 (define @t229 () (forall (@list @t210 @t11 @t10 @t209) @t228)) % 151.01/151.21 (define @t230 () (or @t184 (_ @t3 @t213 tptp.c0))) % 151.01/151.21 (define @t231 () (forall (@list @t213 @t3) @t230)) % 151.01/151.21 (define @t232 () (and @t231 @t229 @t223)) % 151.01/151.21 (define @t233 () (@list @t11 @t10 @t1 @t205)) % 151.01/151.21 (define @t234 () (forall (@list @t206) (forall @t233 @t222))) % 151.01/151.21 (define @t235 () (@list @t11 @t10 @t209)) % 151.01/151.21 (define @t236 () (forall (@list @t210) (forall @t235 @t228))) % 151.01/151.21 (define @t237 () (forall (@list @t213) (forall @t8 @t230))) % 151.01/151.21 (define @t238 () (_ @t205 @t2 @t1)) % 151.01/151.21 (define @t239 () (_ @t3 @t2 @t10)) % 151.01/151.21 (define @t240 () (forall @t8 (or @t184 @t239))) % 151.01/151.21 (define @t241 () (not @t240)) % 151.01/151.21 (define @t242 () (_ @t3 @t2 @t11)) % 151.01/151.21 (define @t243 () (forall @t8 (or @t184 @t242))) % 151.01/151.21 (define @t244 () (not @t243)) % 151.01/151.21 (define @t245 () (or @t244 @t241 @t221 @t218 @t238)) % 151.01/151.21 (define @t246 () (forall @t233 @t245)) % 151.01/151.21 (define @t247 () (forall @t66 @t246)) % 151.01/151.21 (define @t248 () (@list @t2)) % 151.01/151.21 (define @t249 () (_ @t209 @t2 @t11)) % 151.01/151.21 (define @t250 () (or @t241 @t227 @t224 @t249)) % 151.01/151.21 (define @t251 () (forall @t235 @t250)) % 151.01/151.21 (define @t252 () (forall @t66 @t251)) % 151.01/151.21 (define @t253 () (_ @t3 @t2 tptp.c0)) % 151.01/151.21 (define @t254 () (forall @t8 (or @t184 @t253))) % 151.01/151.21 (define @t255 () (forall @t66 @t254)) % 151.01/151.21 (define @t256 () (and @t255 @t252 @t247)) % 151.01/151.21 (define @t257 () (or @t218 @t238)) % 151.01/151.21 (define @t258 () (or @t244 @t241 @t221 @t257)) % 151.01/151.21 (define @t259 () (forall @t233 @t258)) % 151.01/151.21 (define @t260 () (@list @t205)) % 151.01/151.21 (define @t261 () (forall @t260 @t258)) % 151.01/151.21 (define @t262 () (forall @t260 @t257)) % 151.01/151.21 (define @t263 () (@list @t3)) % 151.01/151.21 (define @t264 () (or @t244 @t241 @t221 @t262)) % 151.01/151.21 (define @t265 () (_ @t3 @t2 @t1)) % 151.01/151.21 (define @t266 () (forall @t8 (or @t184 @t265))) % 151.01/151.21 (define @t267 () (or @t244 @t241 @t221 @t266)) % 151.01/151.21 (define @t268 () (or @t244 @t241 @t221)) % 151.01/151.21 (define @t269 () (and @t243 @t240 @t220)) % 151.01/151.21 (define @t270 () (not @t7)) % 151.01/151.21 (define @t271 () (or @t270 @t5)) % 151.01/151.21 (define @t272 () (or @t182 @t14)) % 151.01/151.21 (define @t273 () (@list @t117 @t114 @t116 @t113 @t115 @t112)) % 151.01/151.21 (define @t274 () (forall @t273 @t180)) % 151.01/151.21 (define @t275 () (forall @t273 @t178)) % 151.01/151.21 (define @t276 () (forall @t273 @t122)) % 151.01/151.21 (define @t277 () (forall @t273 @t124)) % 151.01/151.21 (define @t278 () (and @t277 @t276 @t275)) % 151.01/151.21 (define @t279 () (forall @t273 @t179)) % 151.01/151.21 (define @t280 () (or @t279 @t177)) % 151.01/151.21 (define @t281 () (_ @t12 @t21 @t20 @t19)) % 151.01/151.21 (define @t282 () (_ @t12 @t25 @t24 @t23)) % 151.01/151.21 (define @t283 () (tptp.cP @t23 @t19)) % 151.01/151.21 (define @t284 () (tptp.cP @t24 @t20)) % 151.01/151.21 (define @t285 () (tptp.cP @t25 @t21)) % 151.01/151.21 (define @t286 () (forall @t34 (or (not (= @t17 @t285)) (not (= @t16 @t284)) (not (= @t15 @t283)) (not @t282) (not @t281)))) % 151.01/151.21 (define @t287 () (and @t124 @t122 @t286)) % 151.01/151.21 (define @t288 () (or @t287 @t18)) % 151.01/151.21 (define @t289 () (and @t121 @t36)) % 151.01/151.21 (define @t290 () (not @t289)) % 151.01/151.21 (define @t291 () (and @t123 @t38)) % 151.01/151.21 (define @t292 () (not @t291)) % 151.01/151.21 (define @t293 () (not @t286)) % 151.01/151.21 (define @t294 () (not @t293)) % 151.01/151.21 (define @t295 () (and @t292 @t290 @t294)) % 151.01/151.21 (define @t296 () (or @t291 @t289 @t293)) % 151.01/151.21 (define @t297 () (not @t22)) % 151.01/151.21 (define @t298 () (not @t26)) % 151.01/151.21 (define @t299 () (not @t28)) % 151.01/151.21 (define @t300 () (not @t30)) % 151.01/151.21 (define @t301 () (not @t32)) % 151.01/151.21 (define @t302 () (or @t301 @t300 @t299 @t298 @t297)) % 151.01/151.21 (define @t303 () (forall @t34 (not @t33))) % 151.01/151.21 (define @t304 () (not @t303)) % 151.01/151.21 (define @t305 () (or @t270 @t48)) % 151.01/151.21 (define @t306 () (or @t270 @t50)) % 151.01/151.21 (define @t307 () (or @t224 @t249)) % 151.01/151.21 (define @t308 () (or @t241 @t227 @t307)) % 151.01/151.21 (define @t309 () (forall @t235 @t308)) % 151.01/151.21 (define @t310 () (@list @t209)) % 151.01/151.21 (define @t311 () (forall @t310 @t308)) % 151.01/151.21 (define @t312 () (forall @t310 @t307)) % 151.01/151.21 (define @t313 () (or @t241 @t227 @t312)) % 151.01/151.21 (define @t314 () (or @t241 @t227 @t243)) % 151.01/151.21 (define @t315 () (and @t240 @t226)) % 151.01/151.21 (define @t316 () (or @t182 @t56)) % 151.01/151.21 (define @t317 () (or @t270 @t63)) % 151.01/151.21 (define @t318 () (@list @t148 @t145 @t144 @t147 @t139 @t143 @t142 @t138)) % 151.01/151.21 (define @t319 () (forall @t318 @t197)) % 151.01/151.21 (define @t320 () (forall (@list @t139 @t143 @t142 @t138) @t191)) % 151.01/151.21 (define @t321 () (@var "BOUND_VARIABLE_7671" tptp.c)) % 151.01/151.21 (define @t322 () (forall @t318 @t191)) % 151.01/151.21 (define @t323 () (forall (@list @t145 @t144 @t147) @t192)) % 151.01/151.21 (define @t324 () (@var "BOUND_VARIABLE_7662" tptp.c)) % 151.01/151.21 (define @t325 () (forall @t318 @t192)) % 151.01/151.21 (define @t326 () (forall (@list @t148) @t193)) % 151.01/151.21 (define @t327 () (@var "BOUND_VARIABLE_7656" tptp.c)) % 151.01/151.21 (define @t328 () (@list @t327)) % 151.01/151.21 (define @t329 () (forall @t318 @t193)) % 151.01/151.21 (define @t330 () (and @t329 @t325 @t322)) % 151.01/151.21 (define @t331 () (forall @t318 @t194)) % 151.01/151.21 (define @t332 () (or @t196 @t331)) % 151.01/151.21 (define @t333 () (_ @t12 @t71 @t10 @t1)) % 151.01/151.21 (define @t334 () (forall @t46 (or @t182 @t333))) % 151.01/151.21 (define @t335 () (not @t334)) % 151.01/151.21 (define @t336 () (or (not (_ @t68 @t321 @t71)) (not (_ @t68 @t321 @t10)) @t335 (_ @t68 @t321 @t1))) % 151.01/151.21 (define @t337 () (forall (@list @t321 @t71 @t10 @t1) @t336)) % 151.01/151.21 (define @t338 () (_ @t12 @t71 @t10 @t10)) % 151.01/151.21 (define @t339 () (forall @t46 (or @t182 @t338))) % 151.01/151.21 (define @t340 () (not @t339)) % 151.01/151.21 (define @t341 () (or (not (_ @t68 @t324 @t10)) @t340 (_ @t68 @t324 @t71))) % 151.01/151.21 (define @t342 () (forall (@list @t324 @t71 @t10) @t341)) % 151.01/151.21 (define @t343 () (_ @t68 @t327 tptp.c0)) % 151.01/151.21 (define @t344 () (@list @t327)) % 151.01/151.21 (define @t345 () (and (forall @t344 @t343) @t342 @t337)) % 151.01/151.21 (define @t346 () (not @t92)) % 151.01/151.21 (define @t347 () (or @t346 @t345)) % 151.01/151.21 (define @t348 () (forall (@list @t321) (forall @t80 @t336))) % 151.01/151.21 (define @t349 () (forall (@list @t324) (forall @t87 @t341))) % 151.01/151.21 (define @t350 () (_ (_ @t68 @t327) tptp.c0)) % 151.01/151.21 (define @t351 () (forall @t344 @t350)) % 151.01/151.21 (define @t352 () (_ @t68 @t2 @t1)) % 151.01/151.21 (define @t353 () (_ @t68 @t2 @t10)) % 151.01/151.21 (define @t354 () (not @t353)) % 151.01/151.21 (define @t355 () (_ @t68 @t2 @t71)) % 151.01/151.21 (define @t356 () (forall @t80 (or (not @t355) @t354 @t335 @t352))) % 151.01/151.21 (define @t357 () (forall @t66 @t356)) % 151.01/151.21 (define @t358 () (forall @t87 (or @t354 @t340 @t355))) % 151.01/151.21 (define @t359 () (forall @t66 @t358)) % 151.01/151.21 (define @t360 () (forall @t66 @t89)) % 151.01/151.21 (define @t361 () (and @t360 @t359 @t357)) % 151.01/151.21 (define @t362 () (not @t76)) % 151.01/151.21 (define @t363 () (not @t77)) % 151.01/151.21 (define @t364 () (or @t363 @t362 @t335 @t70)) % 151.01/151.21 (define @t365 () (or @t363 @t362 @t335)) % 151.01/151.21 (define @t366 () (and @t77 @t76 @t334)) % 151.01/151.21 (define @t367 () (or @t182 @t73)) % 151.01/151.21 (define @t368 () (or @t362 @t340 @t77)) % 151.01/151.21 (define @t369 () (and @t76 @t339)) % 151.01/151.21 (define @t370 () (or @t182 @t82)) % 151.01/151.21 (define @t371 () (forall @t150 (or (not (_ @t106 @t155 @t140)) @t149))) % 151.01/151.21 (define @t372 () (@quantifiers_skolemize @t151 4)) % 151.01/151.21 (define @t373 () (@quantifiers_skolemize @t151 3)) % 151.01/151.21 (define @t374 () (@quantifiers_skolemize @t151 6)) % 151.01/151.21 (define @t375 () (_ @t103 @t374 @t373)) % 151.01/151.21 (define @t376 () (_ @t104 @t375 @t372)) % 151.01/151.21 (define @t377 () (_ @t106 @t155 @t374)) % 151.01/151.21 (define @t378 () (not @t377)) % 151.01/151.21 (define @t379 () (@quantifiers_skolemize @t151 5)) % 151.01/151.21 (define @t380 () (_ @t110 @t109 @t372)) % 151.01/151.21 (define @t381 () (forall @t127 (or @t126 (_ @t104 (_ @t111 @t380 @t379) @t379)))) % 151.01/151.21 (define @t382 () (not @t381)) % 151.01/151.21 (define @t383 () (forall @t131 (or @t156 (_ @t104 (_ @t103 @t128 @t373) @t379)))) % 151.01/151.21 (define @t384 () (not @t383)) % 151.01/151.21 (define @t385 () (or @t384 @t382 @t378 @t376)) % 151.01/151.21 (define @t386 () (@quantifiers_skolemize @t151 1)) % 151.01/151.21 (define @t387 () (@quantifiers_skolemize @t151 2)) % 151.01/151.21 (define @t388 () (_ @t104 (_ @t103 @t387 @t386) tptp.c0)) % 151.01/151.21 (define @t389 () (_ @t106 @t155 @t387)) % 151.01/151.21 (define @t390 () (not @t389)) % 151.01/151.21 (define @t391 () (or @t390 @t388)) % 151.01/151.21 (define @t392 () (and @t391 @t385 @t170)) % 151.01/151.21 (define @t393 () (not @t371)) % 151.01/151.21 (define @t394 () (or @t393 @t392)) % 151.01/151.21 (define @t395 () (@list true)) % 151.01/151.21 (define @t396 () (@list @t394)) % 151.01/151.21 (define @t397 () (not @t174)) % 151.01/151.21 (define @t398 () (not @t172)) % 151.01/151.21 (define @t399 () (or @t398 @t397 @t166 @t161)) % 151.01/151.21 (define @t400 () (and (_ @t104 @t160 tptp.c0) (or (not @t161) (not (forall @t127 (or @t126 (_ @t104 (_ @t111 (_ @t110 @t109 @t158) @t158) @t158)))) @t161) @t399)) % 151.01/151.21 (define @t401 () (or @t163 @t400)) % 151.01/151.21 (define @t402 () (_ @t104 @t375 @t379)) % 151.01/151.21 (define @t403 () (or @t378 @t402)) % 151.01/151.21 (define @t404 () (not @t376)) % 151.01/151.21 (define @t405 () (not @t402)) % 151.01/151.21 (define @t406 () (or @t405 @t382 @t376)) % 151.01/151.21 (define @t407 () (and (_ @t104 @t375 tptp.c0) @t406 (or @t404 @t404 (not (forall @t127 (or @t126 (_ @t104 (_ @t111 @t380 @t372) @t372)))) @t376))) % 151.01/151.21 (define @t408 () (or @t378 @t407)) % 151.01/151.21 (define @t409 () (not @t388)) % 151.01/151.21 (define @t410 () (@list @t391)) % 151.01/151.21 (define @t411 () (not (forall @t127 (or @t126 (_ @t104 (_ @t111 (_ @t110 @t109 tptp.c0) tptp.c0) tptp.c0))))) % 151.01/151.21 (define @t412 () (and @t388 (or @t409 @t411 @t388) (or @t409 @t409 @t411 @t388))) % 151.01/151.21 (define @t413 () (or @t390 @t412)) % 151.01/151.21 (assume @p1 @t99) % 151.01/151.21 (assume @p2 true) % 151.01/151.21 (step @p3 :rule bool-double-not-elim :args (@t157)) % 151.01/151.21 (step @p4 :rule refl :args (@t170)) % 151.01/151.21 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t170 (not @t169)))) % 151.01/151.21 (step @p6 :rule cnf_or_neg :args (@t170 0)) % 151.01/151.21 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 151.01/151.21 (step @p8 :rule reordering :premises (@p7) :args ((or @t157 @t170))) % 151.01/151.21 (step @p9 :rule bool-double-not-elim :args (@t167)) % 151.01/151.21 (step @p10 :rule nary_cong :premises (@p4 @p9) :args ((or @t170 (not @t168)))) % 151.01/151.21 (step @p11 :rule cnf_or_neg :args (@t170 1)) % 151.01/151.21 (step @p12 :rule eq_resolve :premises (@p11 @p10)) % 151.01/151.21 (step @p13 :rule reordering :premises (@p12) :args ((or @t167 @t170))) % 151.01/151.21 (step @p14 :rule bool-double-not-elim :args (@t165)) % 151.01/151.21 (step @p15 :rule nary_cong :premises (@p4 @p14) :args ((or @t170 (not @t166)))) % 151.01/151.21 (step @p16 :rule cnf_or_neg :args (@t170 2)) % 151.01/151.21 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 151.01/151.21 (step @p18 :rule reordering :premises (@p17) :args ((or @t165 @t170))) % 151.01/151.21 (step @p19 :rule bool-double-not-elim :args (@t162)) % 151.01/151.21 (step @p20 :rule nary_cong :premises (@p4 @p19) :args ((or @t170 (not @t163)))) % 151.01/151.21 (step @p21 :rule cnf_or_neg :args (@t170 3)) % 151.01/151.21 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 151.01/151.21 (step @p23 :rule reordering :premises (@p22) :args ((or @t162 @t170))) % 151.01/151.21 (step @p24 :rule cnf_or_neg :args (@t170 4)) % 151.01/151.21 (assume-push @p539 @t157) % 151.01/151.21 (step @p26 :rule instantiate :premises (@p539) :args (@t171)) % 151.01/151.21 (step-pop @p540 :rule scope :premises (@p26)) % 151.01/151.21 (step @p27 :rule process_scope :premises (@p540) :args (@t173)) % 151.01/151.21 (step @p29 :rule implies_elim :premises (@p27)) % 151.01/151.21 (assume-push @p541 @t167) % 151.01/151.21 (step @p31 :rule instantiate :premises (@p541) :args (@t171)) % 151.01/151.21 (step-pop @p542 :rule scope :premises (@p31)) % 151.01/151.21 (step @p32 :rule process_scope :premises (@p542) :args (@t175)) % 151.01/151.21 (step @p34 :rule implies_elim :premises (@p32)) % 151.01/151.21 ; WARNING: add trust step for TRUST % 151.01/151.21 ; trust TRUST PREPROCESS_HO_ELIM % 151.01/151.21 (step @p35 :rule trust :premises () :args ((= (not @t201) (not @t151)))) % 151.01/151.21 (step @p36 :rule quant-merge-prenex :args ((= (forall @t97 @t203) @t201))) % 151.01/151.21 (step @p37 :rule alpha_equiv :args (@t204 (@list @t101 @t108 @t107 @t100 @t176) (@list @t206 @t11 @t10 @t1 @t205))) % 151.01/151.21 (step @p38 :rule quant-unused-vars :args ((= @t207 @t204))) % 151.01/151.21 (step @p39 :rule trans :premises (@p38 @p37)) % 151.01/151.21 (step @p40 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151.01/151.21 (step @p162 :rule trans :premises (@p161 @p160)) % 151.01/151.21 (step @p163 :rule trans :premises (@p162 @p158)) % 151.01/151.21 (step @p164 :rule trans :premises (@p163 @p152)) % 151.01/151.21 (step @p165 :rule nary_cong :premises (@p164 @p141) :args ((or (not @t296) @t18))) % 151.01/151.21 (step @p166 :rule bool-impl-elim :args (@t296 @t18)) % 151.01/151.21 (step @p167 :rule trans :premises (@p166 @p165)) % 151.01/151.21 (step @p168 :rule cong :premises (@p167) :args ((forall @t42 (=> @t296 @t18)))) % 151.01/151.21 (step @p169 :rule trans :premises (@p168 @p148)) % 151.01/151.21 (step @p170 :rule refl :args (@t18)) % 151.01/151.21 (step @p171 :rule refl :args (@t281)) % 151.01/151.21 (step @p172 :rule refl :args (@t22)) % 151.01/151.21 (step @p173 :rule cong :premises (@p172 @p171) :args ((= @t22 @t281))) % 151.01/151.21 (step @p174 :rule symm :premises (@p173)) % 151.01/151.21 (step @p175 :rule eq_resolve :premises (@p172 @p174)) % 151.01/151.21 (step @p176 :rule cong 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reordering :premises (@p478) :args ((or @t163 @t172 (not @t173)))) % 151.01/151.21 (step @p480 :rule cnf_or_pos :args (@t175)) % 151.01/151.21 (step @p481 :rule reordering :premises (@p480) :args ((or @t163 @t174 (not @t175)))) % 151.01/151.21 (step @p482 :rule cnf_and_pos :args (@t400 2)) % 151.01/151.21 (step @p483 :rule reordering :premises (@p482) :args ((or @t399 (not @t400)))) % 151.01/151.21 (step @p484 :rule cnf_or_pos :args (@t399)) % 151.01/151.21 (step @p485 :rule reordering :premises (@p484) :args ((or @t166 @t161 @t398 @t397 (not @t399)))) % 151.01/151.21 (step @p486 :rule chain_m_resolution :premises (@p485 @p483 @p481 @p479 @p477 @p475 @p34 @p29 @p24 @p23 @p18 @p13 @p8) :args (@t170 (@list false false false false false false false true false false false false) (@list @t399 @t174 @t172 @t400 @t401 @t175 @t173 @t161 @t162 @t165 @t167 @t157))) % 151.01/151.21 (step @p487 :rule bool-double-not-elim :args (@t383)) % 151.01/151.21 (step @p488 :rule refl :args (@t385)) % 151.01/151.21 (step @p489 :rule nary_cong :premises (@p488 @p487) :args ((or @t385 (not @t384)))) % 151.01/151.21 (step @p490 :rule cnf_or_neg :args (@t385 0)) % 151.01/151.21 (step @p491 :rule eq_resolve :premises (@p490 @p489)) % 151.01/151.21 (step @p492 :rule reordering :premises (@p491) :args ((or @t383 @t385))) % 151.01/151.21 (step @p493 :rule bool-double-not-elim :args (@t381)) % 151.01/151.21 (step @p494 :rule nary_cong :premises (@p488 @p493) :args ((or @t385 (not @t382)))) % 151.01/151.21 (step @p495 :rule cnf_or_neg :args (@t385 1)) % 151.01/151.21 (step @p496 :rule eq_resolve :premises (@p495 @p494)) % 151.01/151.21 (step @p497 :rule reordering :premises (@p496) :args ((or @t381 @t385))) % 151.01/151.21 (step @p498 :rule bool-double-not-elim :args (@t377)) % 151.01/151.21 (step @p499 :rule nary_cong :premises (@p488 @p498) :args ((or @t385 (not @t378)))) % 151.01/151.21 (step @p500 :rule cnf_or_neg :args (@t385 2)) % 151.01/151.21 (step @p501 :rule eq_resolve :premises (@p500 @p499)) % 151.01/151.21 (step @p502 :rule reordering :premises (@p501) :args ((or @t377 @t385))) % 151.01/151.21 (step @p503 :rule cnf_or_neg :args (@t385 3)) % 151.01/151.21 (assume-push @p543 @t383) % 151.01/151.21 (step @p505 :rule instantiate :premises (@p543) :args ((@list @t374))) % 151.01/151.21 (step-pop @p544 :rule scope :premises (@p505)) % 151.01/151.21 (step @p506 :rule process_scope :premises (@p544) :args (@t403)) % 151.01/151.21 (step @p508 :rule implies_elim :premises (@p506)) % 151.01/151.21 (step @p509 :rule cnf_or_pos :args (@t403)) % 151.01/151.21 (step @p510 :rule reordering :premises (@p509) :args ((or @t378 @t402 (not @t403)))) % 151.01/151.21 (step @p511 :rule instantiate :premises (@p474) :args ((@list @t374 @t373 @t373 @t372 @t379 @t373 @t372 @t372 @t372))) % 151.01/151.21 (step @p512 :rule cnf_or_pos :args (@t408)) % 151.01/151.21 (step @p513 :rule reordering :premises (@p512) :args ((or @t378 @t407 (not @t408)))) % 151.01/151.21 (step @p514 :rule cnf_or_pos :args (@t406)) % 151.01/151.21 (step @p515 :rule reordering :premises (@p514) :args ((or @t382 @t376 @t405 (not @t406)))) % 151.01/151.21 (step @p516 :rule cnf_and_pos :args (@t407 1)) % 151.01/151.21 (step @p517 :rule reordering :premises (@p516) :args ((or @t406 (not @t407)))) % 151.01/151.21 (step @p518 :rule chain_m_resolution :premises (@p517 @p515 @p513 @p511 @p510 @p508 @p503 @p502 @p497 @p492) :args (@t385 (@list true false false false false true false false false) (@list @t406 @t407 @t408 @t402 @t403 @t376 @t377 @t381 @t383))) % 151.01/151.21 (step @p519 :rule cnf_or_neg :args (@t394 1)) % 151.01/151.21 (step @p520 :rule chain_m_resolution :premises (@p519 @p467) :args ((not @t392) @t395 @t396)) % 151.01/151.21 (step @p521 :rule cnf_and_neg :args (@t392)) % 151.01/151.21 (step @p522 :rule chain_m_resolution :premises (@p521 @p520 @p518 @p486) :args ((not @t391) (@list true false false) (@list @t392 @t385 @t170))) % 151.01/151.21 (step @p523 :rule cnf_or_neg :args (@t391 1)) % 151.01/151.21 (step @p524 :rule chain_m_resolution :premises (@p523 @p522) :args (@t409 @t395 @t410)) % 151.01/151.21 (step @p525 :rule instantiate :premises (@p474) :args ((@list @t387 @t386 @t386 tptp.c0 tptp.c0 @t386 tptp.c0 tptp.c0 tptp.c0))) % 151.01/151.21 (step @p526 :rule bool-double-not-elim :args (@t389)) % 151.01/151.21 (step @p527 :rule refl :args (@t391)) % 151.01/151.21 (step @p528 :rule nary_cong :premises (@p527 @p526) :args ((or @t391 (not @t390)))) % 151.01/151.21 (step @p529 :rule cnf_or_neg :args (@t391 0)) % 151.01/151.21 (step @p530 :rule eq_resolve :premises (@p529 @p528)) % 151.01/151.21 (step @p531 :rule reordering :premises (@p530) :args ((or @t389 @t391))) % 151.01/151.21 (step @p532 :rule chain_m_resolution :premises (@p531 @p522) :args (@t389 @t395 @t410)) % 151.01/151.21 (step @p533 :rule cnf_or_pos :args (@t413)) % 151.01/151.21 (step @p534 :rule reordering :premises (@p533) :args ((or @t390 @t412 (not @t413)))) % 151.01/151.21 (step @p535 :rule chain_m_resolution :premises (@p534 @p532 @p525) :args (@t412 (@list false false) (@list @t389 @t413))) % 151.01/151.21 (step @p536 :rule cnf_and_pos :args (@t412 0)) % 151.01/151.21 (step @p537 :rule reordering :premises (@p536) :args ((or @t388 (not @t412)))) % 151.01/151.21 (step @p538 false :rule chain_m_resolution :premises (@p537 @p535 @p524) :args (false (@list false true) (@list @t412 @t388))) % 151.01/151.21 ) % 151.01/151.21 % SZS output end Proof % 151.01/151.21 % cvc5 exiting %------------------------------------------------------------------------------