%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP144^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:25:11 AM UTC 2026 % Result : Theorem 0.36s 0.69s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP144^1 : TPTP v9.2.1. Released v7.5.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.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 04:14:31 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.52 %----Proving TH0 % 0.36/0.69 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.69 % SZS status Theorem % 0.36/0.69 % SZS output start Proof % 0.36/0.69 ( % 0.36/0.69 (declare-sort tptp.a 0) % 0.36/0.69 (declare-sort tptp.b 0) % 0.36/0.69 (declare-sort tptp.set_b 0) % 0.36/0.69 (declare-sort tptp.set_set_b 0) % 0.36/0.69 (declare-const tptp.bot_bot_set_b tptp.set_b) % 0.36/0.69 (declare-const tptp.member_b (-> tptp.b tptp.set_b Bool)) % 0.36/0.69 (declare-const tptp.collect_b (-> (-> tptp.b Bool) tptp.set_b)) % 0.36/0.69 (declare-const tptp.top_top_set_b tptp.set_b) % 0.36/0.69 (declare-const tptp.p (-> tptp.a Bool)) % 0.36/0.69 (declare-const tptp.image_set_b_set_b (-> (-> tptp.set_b tptp.set_b) tptp.set_set_b tptp.set_set_b)) % 0.36/0.69 (declare-const tptp.member_set_b (-> tptp.set_b tptp.set_set_b Bool)) % 0.36/0.69 (declare-const tptp.inj_on_b_set_b (-> (-> tptp.b tptp.set_b) tptp.set_b Bool)) % 0.36/0.69 (declare-const tptp.hilbert_inv_into_b_b (-> tptp.set_b (-> tptp.b tptp.b) tptp.b tptp.b)) % 0.36/0.69 (declare-const tptp.inj_on_b_b (-> (-> tptp.b tptp.b) tptp.set_b Bool)) % 0.36/0.69 (declare-const tptp.the_elem_b (-> tptp.set_b tptp.b)) % 0.36/0.69 (declare-const tptp.q (-> tptp.a tptp.b Bool)) % 0.36/0.69 (declare-const tptp.bij_betw_b_b (-> (-> tptp.b tptp.b) tptp.set_b tptp.set_b Bool)) % 0.36/0.69 (declare-const tptp.image_b_b (-> (-> tptp.b tptp.b) tptp.set_b tptp.set_b)) % 0.36/0.69 (declare-const tptp.hilbert_Eps_b (-> (-> tptp.b Bool) tptp.b)) % 0.36/0.69 (define tptp.is_empty_b () (let ((_let_1 (@var "A3" tptp.set_b))) (lambda (@list _let_1) (= _let_1 tptp.bot_bot_set_b)))) % 0.36/0.69 (define tptp.bot_bot_b_o () (let ((_let_1 (@var "X4" tptp.b))) (lambda (@list _let_1) (_ (_ tptp.member_b _let_1) tptp.bot_bot_set_b)))) % 0.36/0.69 (define tptp.insert_b () (let ((_let_1 (@var "B4" tptp.set_b))) (let ((_let_2 (@var "X4" tptp.b))) (let ((_let_3 (@var "A4" tptp.b))) (lambda (@list _let_3 _let_1) (_ tptp.collect_b (lambda (@list _let_2) (or (= _let_2 _let_3) (_ (_ tptp.member_b _let_2) _let_1))))))))) % 0.36/0.69 (define tptp.top_top_b_o () (let ((_let_1 (@var "X4" tptp.b))) (lambda (@list _let_1) (_ (_ tptp.member_b _let_1) tptp.top_top_set_b)))) % 0.36/0.69 (define tptp.is_singleton_b () (let ((_let_1 (@var "X4" tptp.b))) (let ((_let_2 (@var "A3" tptp.set_b))) (lambda (@list _let_2) (exists (@list _let_1) (= _let_2 (_ (_ tptp.insert_b _let_1) tptp.bot_bot_set_b))))))) % 0.36/0.69 (define tptp.minus_minus_set_b () (let ((_let_1 (@var "B4" tptp.set_b))) (let ((_let_2 (@var "X4" tptp.b))) (let ((_let_3 (_ tptp.member_b _let_2))) (let ((_let_4 (@var "A3" tptp.set_b))) (lambda (@list _let_4 _let_1) (_ tptp.collect_b (lambda (@list _let_2) (and (_ _let_3 _let_4) (not (_ _let_3 _let_1))))))))))) % 0.36/0.69 (define tptp.remove_b () (let ((_let_1 (@var "X4" tptp.b))) (let ((_let_2 (@var "A3" tptp.set_b))) (lambda (@list _let_1 _let_2) (_ (_ tptp.minus_minus_set_b _let_2) (_ (_ tptp.insert_b _let_1) tptp.bot_bot_set_b)))))) % 0.36/0.69 (define @t1 () (@var "A" tptp.b)) % 0.36/0.69 (define @t2 () (@var "P" (-> tptp.b Bool))) % 0.36/0.69 (define @t3 () (_ tptp.hilbert_Eps_b @t2)) % 0.36/0.69 (define @t4 () (= @t3 @t1)) % 0.36/0.69 (define @t5 () (@var "X" tptp.b)) % 0.36/0.69 (define @t6 () (_ @t2 @t5)) % 0.36/0.69 (define @t7 () (@list @t5)) % 0.36/0.69 (define @t8 () (_ @t2 @t1)) % 0.36/0.69 (define @t9 () (@list @t2 @t1)) % 0.36/0.69 (define @t10 () (@var "X2" tptp.b)) % 0.36/0.69 (define @t11 () (@var "Y" tptp.b)) % 0.36/0.69 (define @t12 () (@list @t10)) % 0.36/0.69 (define @t13 () (@var "Z" tptp.b)) % 0.36/0.69 (define @t14 () (@var "Y2" tptp.b)) % 0.36/0.69 (define @t15 () (lambda (@list @t14 @t13) (= @t14 @t13))) % 0.36/0.69 (define @t16 () (@var "A2" Bool)) % 0.36/0.69 (define @t17 () (@var "X3" tptp.b)) % 0.36/0.69 (define @t18 () (_ @t2 @t17)) % 0.36/0.69 (define @t19 () (@list @t17)) % 0.36/0.69 (define @t20 () (exists @t19 @t18)) % 0.36/0.69 (define @t21 () (_ @t2 @t3)) % 0.36/0.69 (define @t22 () (=> (= @t21 @t16) (= @t20 @t16))) % 0.36/0.69 (define @t23 () (@list @t2 @t16)) % 0.36/0.69 (define @t24 () (forall @t23 @t22)) % 0.36/0.69 (define @t25 () (@var "X4" tptp.b)) % 0.36/0.69 (define @t26 () (@var "P3" (-> tptp.b Bool))) % 0.36/0.69 (define @t27 () (@list @t25)) % 0.36/0.69 (define @t28 () (@var "P2" (-> tptp.b Bool))) % 0.36/0.69 (define @t29 () (@var "Q" (-> tptp.b Bool))) % 0.36/0.69 (define @t30 () (_ @t29 @t5)) % 0.36/0.69 (define @t31 () (=> (forall @t7 (=> @t6 @t30)) (_ @t29 @t3))) % 0.36/0.69 (define @t32 () (forall @t19 @t18)) % 0.36/0.69 (define @t33 () (_ @t2 @t25)) % 0.36/0.69 (define @t34 () (not @t33)) % 0.36/0.69 (define @t35 () (_ tptp.hilbert_Eps_b (lambda @t27 @t34))) % 0.36/0.69 (define @t36 () (@var "B" tptp.b)) % 0.36/0.69 (define @t37 () (@var "A2" tptp.b)) % 0.36/0.69 (define @t38 () (@var "X_1" tptp.b)) % 0.36/0.69 (define @t39 () (exists (@list @t38) (_ @t2 @t38))) % 0.36/0.69 (define @t40 () (@list @t2)) % 0.36/0.69 (define @t41 () (@list @t2 @t29)) % 0.36/0.69 (define @t42 () (@var "A2" tptp.set_b)) % 0.36/0.69 (define @t43 () (_ tptp.member_b @t25)) % 0.36/0.69 (define @t44 () (_ @t43 @t42)) % 0.36/0.69 (define @t45 () (_ tptp.member_b @t5)) % 0.36/0.69 (define @t46 () (_ @t45 @t42)) % 0.36/0.69 (define @t47 () (@var "X5" tptp.b)) % 0.36/0.69 (define @t48 () (_ @t2 @t47)) % 0.36/0.69 (define @t49 () (@list @t47)) % 0.36/0.69 (define @t50 () (@var "B2" tptp.b)) % 0.36/0.69 (define @t51 () (@var "P4" (-> tptp.b Bool))) % 0.36/0.69 (define @t52 () (_ @t2 @t10)) % 0.36/0.69 (define @t53 () (@var "P5" (-> tptp.b Bool))) % 0.36/0.69 (define @t54 () (_ @t53 @t17)) % 0.36/0.69 (define @t55 () (forall @t7 (= @t6 (_ @t53 @t5)))) % 0.36/0.69 (define @t56 () (= @t10 @t35)) % 0.36/0.69 (define @t57 () (@list @t10 @t2 @t53)) % 0.36/0.69 (define @t58 () (@list @t10 @t2)) % 0.36/0.69 (define @t59 () (@var "Y3" tptp.b)) % 0.36/0.69 (define @t60 () (@list @t59)) % 0.36/0.69 (define @t61 () (= @t10 @t3)) % 0.36/0.69 (define @t62 () (@var "Y4" tptp.b)) % 0.36/0.69 (define @t63 () (= @t42 tptp.bot_bot_set_b)) % 0.36/0.69 (define @t64 () (not @t63)) % 0.36/0.69 (define @t65 () (lambda @t27 @t44)) % 0.36/0.69 (define @t66 () (@list @t42)) % 0.36/0.69 (define @t67 () (@var "C" tptp.b)) % 0.36/0.69 (define @t68 () (forall @t27 @t34)) % 0.36/0.69 (define @t69 () (_ tptp.collect_b @t2)) % 0.36/0.69 (define @t70 () (= @t69 tptp.bot_bot_set_b)) % 0.36/0.69 (define @t71 () (_ tptp.member_b @t67)) % 0.36/0.69 (define @t72 () (_ tptp.member_b @t1)) % 0.36/0.69 (define @t73 () (@list @t1)) % 0.36/0.69 (define @t74 () (_ @t72 @t42)) % 0.36/0.69 (define @t75 () (not @t74)) % 0.36/0.69 (define @t76 () (_ (_ tptp.member_b @t59) @t42)) % 0.36/0.69 (define @t77 () (_ tptp.is_singleton_b @t42)) % 0.36/0.69 (define @t78 () (_ tptp.member_b @t10)) % 0.36/0.69 (define @t79 () (@var "P" Bool)) % 0.36/0.69 (define @t80 () (_ tptp.collect_b (lambda (@list (@var "S" tptp.b)) @t79))) % 0.36/0.69 (define @t81 () (_ tptp.insert_b @t10)) % 0.36/0.69 (define @t82 () (_ @t81 tptp.bot_bot_set_b)) % 0.36/0.69 (define @t83 () (= @t1 @t50)) % 0.36/0.69 (define @t84 () (_ tptp.insert_b @t50)) % 0.36/0.69 (define @t85 () (_ @t72 (_ @t84 @t42))) % 0.36/0.69 (define @t86 () (@list @t1 @t50 @t42)) % 0.36/0.69 (define @t87 () (@var "B" tptp.set_b)) % 0.36/0.69 (define @t88 () (_ @t84 @t87)) % 0.36/0.69 (define @t89 () (_ @t72 @t88)) % 0.36/0.69 (define @t90 () (_ @t72 @t87)) % 0.36/0.69 (define @t91 () (@list @t1 @t87 @t50)) % 0.36/0.69 (define @t92 () (_ tptp.insert_b @t1)) % 0.36/0.69 (define @t93 () (_ @t92 tptp.bot_bot_set_b)) % 0.36/0.69 (define @t94 () (= @t25 @t1)) % 0.36/0.69 (define @t95 () (@var "B3" tptp.set_b)) % 0.36/0.69 (define @t96 () (@list @t95)) % 0.36/0.69 (define @t97 () (@list @t1 @t42)) % 0.36/0.69 (define @t98 () (@var "C2" tptp.set_b)) % 0.36/0.69 (define @t99 () (_ tptp.member_b @t50)) % 0.36/0.69 (define @t100 () (not @t83)) % 0.36/0.69 (define @t101 () (= @t42 @t87)) % 0.36/0.69 (define @t102 () (_ @t92 @t42)) % 0.36/0.69 (define @t103 () (_ @t81 @t87)) % 0.36/0.69 (define @t104 () (_ @t81 @t42)) % 0.36/0.69 (define @t105 () (_ @t78 @t87)) % 0.36/0.69 (define @t106 () (not @t105)) % 0.36/0.69 (define @t107 () (_ @t78 @t42)) % 0.36/0.69 (define @t108 () (not @t107)) % 0.36/0.69 (define @t109 () (@list @t10 @t42 @t87)) % 0.36/0.69 (define @t110 () (@list @t10 @t42)) % 0.36/0.69 (define @t111 () (_ @t92 @t87)) % 0.36/0.69 (define @t112 () (_ @t84 tptp.bot_bot_set_b)) % 0.36/0.69 (define @t113 () (@var "D" tptp.b)) % 0.36/0.69 (define @t114 () (_ tptp.insert_b @t67)) % 0.36/0.69 (define @t115 () (= @t50 @t1)) % 0.36/0.69 (define @t116 () (_ @t99 @t93)) % 0.36/0.69 (define @t117 () (@list @t50 @t1)) % 0.36/0.69 (define @t118 () (_ tptp.collect_b (lambda @t27 (and @t94 @t33)))) % 0.36/0.69 (define @t119 () (not @t8)) % 0.36/0.69 (define @t120 () (_ tptp.collect_b (lambda @t27 (and (= @t1 @t25) @t33)))) % 0.36/0.70 (define @t121 () (@var "A3" tptp.set_b)) % 0.36/0.70 (define @t122 () (@list @t121)) % 0.36/0.70 (define @t123 () (@var "F" (-> tptp.b tptp.b))) % 0.36/0.70 (define @t124 () (_ tptp.image_b_b @t123)) % 0.36/0.70 (define @t125 () (_ @t124 @t42)) % 0.36/0.70 (define @t126 () (_ @t99 @t125)) % 0.36/0.70 (define @t127 () (_ @t123 @t10)) % 0.36/0.70 (define @t128 () (= @t50 @t127)) % 0.36/0.70 (define @t129 () (@list @t123 @t42)) % 0.36/0.70 (define @t130 () (_ (_ tptp.image_b_b (lambda @t27 @t67)) @t42)) % 0.36/0.70 (define @t131 () (= @t130 (_ @t114 tptp.bot_bot_set_b))) % 0.36/0.70 (define @t132 () (_ tptp.bij_betw_b_b @t123)) % 0.36/0.70 (define @t133 () (_ (_ tptp.insert_b @t25) tptp.bot_bot_set_b)) % 0.36/0.70 (define @t134 () (@var "A5" tptp.set_b)) % 0.36/0.70 (define @t135 () (@var "X6" tptp.b)) % 0.36/0.70 (define @t136 () (_ tptp.inj_on_b_b @t123)) % 0.36/0.70 (define @t137 () (_ @t136 @t42)) % 0.36/0.70 (define @t138 () (_ tptp.member_b (_ @t123 @t1))) % 0.36/0.70 (define @t139 () (@list @t123 @t1 @t42)) % 0.36/0.70 (define @t140 () (_ tptp.minus_minus_set_b @t42)) % 0.36/0.70 (define @t141 () (_ @t140 @t93)) % 0.36/0.70 (define @t142 () (_ @t140 @t87)) % 0.36/0.70 (define @t143 () (_ @t71 @t142)) % 0.36/0.70 (define @t144 () (_ @t71 @t87)) % 0.36/0.70 (define @t145 () (not @t144)) % 0.36/0.70 (define @t146 () (_ @t71 @t42)) % 0.36/0.70 (define @t147 () (@list @t67 @t42 @t87)) % 0.36/0.70 (define @t148 () (_ tptp.minus_minus_set_b @t104)) % 0.36/0.70 (define @t149 () (_ @t148 @t87)) % 0.36/0.70 (define @t150 () (=> @t105 (= @t149 @t142))) % 0.36/0.70 (define @t151 () (@list @t10 @t87 @t42)) % 0.36/0.70 (define @t152 () (_ @t92 @t141)) % 0.36/0.70 (define @t153 () (_ @t140 @t111)) % 0.36/0.70 (define @t154 () (@list @t42 @t1 @t87)) % 0.36/0.70 (define @t155 () (@var "B" tptp.set_set_b)) % 0.36/0.70 (define @t156 () (@var "C3" tptp.set_b)) % 0.36/0.70 (define @t157 () (@var "X_12" tptp.b)) % 0.36/0.70 (define @t158 () (@var "X5" tptp.a)) % 0.36/0.70 (define @t159 () (_ (_ tptp.q @t158) @t157)) % 0.36/0.70 (define @t160 () (@list @t157)) % 0.36/0.70 (define @t161 () (exists @t160 @t159)) % 0.36/0.70 (define @t162 () (_ tptp.p @t158)) % 0.36/0.70 (define @t163 () (=> @t162 @t161)) % 0.36/0.70 (define @t164 () (@list @t158)) % 0.36/0.70 (define @t165 () (forall @t164 @t163)) % 0.36/0.70 (define @t166 () (@var "X" tptp.a)) % 0.36/0.70 (define @t167 () (_ tptp.q @t166)) % 0.36/0.70 (define @t168 () (_ tptp.hilbert_Eps_b @t167)) % 0.36/0.70 (define @t169 () (_ @t167 @t168)) % 0.36/0.70 (define @t170 () (_ tptp.p @t166)) % 0.36/0.70 (define @t171 () (not @t170)) % 0.36/0.70 (define @t172 () (or @t171 @t169)) % 0.36/0.70 (define @t173 () (@list @t166)) % 0.36/0.70 (define @t174 () (forall @t173 @t172)) % 0.36/0.70 (define @t175 () (not @t174)) % 0.36/0.70 (define @t176 () (lambda @t122 (= @t121 tptp.bot_bot_set_b))) % 0.36/0.70 (define @t177 () (lambda @t27 (_ @t43 tptp.bot_bot_set_b))) % 0.36/0.70 (define @t178 () (@var "B4" tptp.set_b)) % 0.36/0.70 (define @t179 () (_ @t43 @t178)) % 0.36/0.70 (define @t180 () (@var "A4" tptp.b)) % 0.36/0.70 (define @t181 () (lambda (@list @t180 @t178) (_ tptp.collect_b (lambda @t27 (or (= @t25 @t180) @t179))))) % 0.36/0.70 (define @t182 () (lambda @t27 (_ @t43 tptp.top_top_set_b))) % 0.36/0.70 (define @t183 () (lambda @t122 (exists @t27 (= @t121 @t133)))) % 0.36/0.70 (define @t184 () (lambda (@list @t121 @t178) (_ tptp.collect_b (lambda @t27 (and (_ @t43 @t121) (not @t179)))))) % 0.36/0.70 (define @t185 () (lambda (@list @t25 @t121) (_ (_ tptp.minus_minus_set_b @t121) @t133))) % 0.36/0.70 (define @t186 () (tptp.hilbert_Eps_b @t2)) % 0.36/0.70 (define @t187 () (_ @t2 @t186)) % 0.36/0.70 (define @t188 () (_ @t2 @t17)) % 0.36/0.70 (define @t189 () (not (forall @t19 (not @t188)))) % 0.36/0.70 (define @t190 () (= @t189 @t187)) % 0.36/0.70 (define @t191 () (not @t187)) % 0.36/0.70 (define @t192 () (or (= @t191 @t187) (= @t187 @t189))) % 0.36/0.70 (define @t193 () (= @t16 @t189)) % 0.36/0.70 (define @t194 () (not @t16)) % 0.36/0.70 (define @t195 () (= @t194 @t187)) % 0.36/0.70 (define @t196 () (@list @t16)) % 0.36/0.70 (define @t197 () (or @t195 @t195 @t193)) % 0.36/0.70 (define @t198 () (or @t195 @t193)) % 0.36/0.70 (define @t199 () (forall @t196 @t198)) % 0.36/0.70 (define @t200 () (forall @t40 @t199)) % 0.36/0.70 (define @t201 () (or (= @t187 @t194) @t193)) % 0.36/0.70 (define @t202 () (= @t21 @t194)) % 0.36/0.70 (define @t203 () (or @t202 @t193)) % 0.36/0.70 (define @t204 () (or (= @t194 @t21) @t193)) % 0.36/0.70 (define @t205 () (= @t16 @t21)) % 0.36/0.70 (define @t206 () (not @t18)) % 0.36/0.70 (define @t207 () (forall @t19 @t206)) % 0.36/0.70 (define @t208 () (not @t207)) % 0.36/0.70 (define @t209 () (tptp.hilbert_Eps_b @t167)) % 0.36/0.70 (define @t210 () (tptp.q @t166 @t209)) % 0.36/0.70 (define @t211 () (tptp.p @t166)) % 0.36/0.70 (define @t212 () (@quantifiers_skolemize (forall @t173 (or (not @t211) @t210)) 0)) % 0.36/0.70 (define @t213 () (tptp.q @t212 @t17)) % 0.36/0.70 (define @t214 () (forall @t19 (not @t213))) % 0.36/0.70 (define @t215 () (not @t214)) % 0.36/0.70 (define @t216 () (_ tptp.q @t212)) % 0.36/0.70 (define @t217 () (_ tptp.hilbert_Eps_b @t216)) % 0.36/0.70 (define @t218 () (tptp.hilbert_Eps_b @t216)) % 0.36/0.70 (define @t219 () (tptp.q @t212 @t218)) % 0.36/0.70 (define @t220 () (_ @t216 @t218)) % 0.36/0.70 (define @t221 () (= @t220 @t215)) % 0.36/0.70 (define @t222 () (forall @t40 @t190)) % 0.36/0.70 (define @t223 () (_ @t216 @t218)) % 0.36/0.70 (define @t224 () (_ @t216 @t17)) % 0.36/0.70 (define @t225 () (not @t224)) % 0.36/0.70 (define @t226 () (_ @t216 @t17)) % 0.36/0.70 (define @t227 () (not @t226)) % 0.36/0.70 (define @t228 () (forall @t19 @t227)) % 0.36/0.70 (define @t229 () (not @t228)) % 0.36/0.70 (define @t230 () (= @t229 @t223)) % 0.36/0.70 (define @t231 () (= @t219 @t215)) % 0.36/0.70 (define @t232 () (tptp.p @t212)) % 0.36/0.70 (define @t233 () (not @t232)) % 0.36/0.70 (define @t234 () (or @t233 @t219)) % 0.36/0.70 (define @t235 () (@list true)) % 0.36/0.70 (define @t236 () (@list @t234)) % 0.36/0.70 (define @t237 () (not @t231)) % 0.36/0.70 (define @t238 () (@list true false)) % 0.36/0.70 (define @t239 () (tptp.q @t158 @t157)) % 0.36/0.70 (define @t240 () (not (forall @t160 (not @t239)))) % 0.36/0.70 (define @t241 () (tptp.p @t158)) % 0.36/0.70 (define @t242 () (not @t162)) % 0.36/0.70 (define @t243 () (or @t242 @t240)) % 0.36/0.70 (define @t244 () (not @t159)) % 0.36/0.70 (define @t245 () (forall @t160 @t244)) % 0.36/0.70 (define @t246 () (not @t245)) % 0.36/0.70 (define @t247 () (forall @t160 (not (tptp.q @t212 @t157)))) % 0.36/0.70 (define @t248 () (not @t247)) % 0.36/0.70 (define @t249 () (or @t233 @t248)) % 0.36/0.70 (assume @p1 (forall @t9 (=> @t8 (=> (forall @t7 (=> @t6 (= @t5 @t1))) @t4)))) % 0.36/0.70 (assume @p2 (forall @t12 (= (_ tptp.hilbert_Eps_b (lambda (@list @t11) (= @t11 @t10))) @t10))) % 0.36/0.70 (assume @p3 (forall @t12 (= (_ tptp.hilbert_Eps_b (_ @t15 @t10)) @t10))) % 0.36/0.70 (assume @p4 @t24) % 0.36/0.70 (assume @p5 (= (lambda (@list @t28) (forall @t19 (_ @t28 @t17))) (lambda (@list @t26) (_ @t26 (_ tptp.hilbert_Eps_b (lambda @t27 (not (_ @t26 @t25)))))))) % 0.36/0.70 (assume @p6 (forall (@list @t2 @t1 @t29) (=> @t8 @t31))) % 0.36/0.70 (assume @p7 (forall @t23 (=> (= (_ @t2 @t35) @t16) (= @t32 @t16)))) % 0.36/0.70 (assume @p8 (forall (@list @t36 @t37 @t2) (=> (= @t36 @t37) (= (= @t3 @t37) (= @t3 @t36))))) % 0.36/0.70 (assume @p9 (forall @t40 (=> @t39 @t21))) % 0.36/0.70 (assume @p10 (forall @t41 (=> @t39 @t31))) % 0.36/0.70 (assume @p11 (forall (@list @t42 @t2 @t29) (=> (exists @t49 (and (_ (_ tptp.member_b @t47) @t42) @t48)) (=> (forall @t7 (=> (and @t46 @t6) @t30)) (_ @t29 (_ tptp.hilbert_Eps_b (lambda @t27 (and @t44 @t33)))))))) % 0.36/0.70 (assume @p12 (forall @t40 (= @t21 @t20))) % 0.36/0.70 (assume @p13 (forall (@list @t2 @t1 @t50) (=> @t4 (=> (_ @t2 @t50) @t8)))) % 0.36/0.70 (assume @p14 (forall (@list @t51 @t47) (=> (_ @t51 @t47) (_ @t51 (_ tptp.hilbert_Eps_b @t51))))) % 0.36/0.70 (assume @p15 (forall @t41 (=> (forall @t7 (= @t6 @t30)) (= @t3 (_ tptp.hilbert_Eps_b @t29))))) % 0.36/0.70 (assume @p16 (forall (@list @t2 @t10) (=> @t52 @t21))) % 0.36/0.70 (assume @p17 (forall @t57 (=> @t56 (=> @t55 (= (forall @t19 @t54) @t52))))) % 0.36/0.70 (assume @p18 (forall @t58 (=> @t56 (= @t32 @t52)))) % 0.36/0.70 (assume @p19 (forall @t9 (=> (exists @t49 (and @t48 (forall @t60 (=> (_ @t2 @t59) (= @t59 @t47))))) (=> @t8 @t4)))) % 0.36/0.70 (assume @p20 (forall @t57 (=> @t61 (=> @t55 (= (exists @t19 @t54) @t52))))) % 0.36/0.70 (assume @p21 (forall @t58 (=> @t61 (= @t20 @t52)))) % 0.36/0.70 (assume @p22 (forall (@list @t2 @t10 @t62) (=> @t52 (=> (not (_ @t2 @t62)) (=> (= @t3 @t62) (= @t3 @t10)))))) % 0.36/0.70 (assume @p23 (forall @t66 (= (_ (_ tptp.member_b (_ tptp.hilbert_Eps_b @t65)) @t42) @t64))) % 0.36/0.70 (assume @p24 (forall (@list @t2 @t67) (=> @t39 (=> (= @t67 @t3) (_ @t2 @t67))))) % 0.36/0.70 (assume @p25 (forall @t40 (= (= tptp.bot_bot_set_b @t69) @t68))) % 0.36/0.70 (assume @p26 (forall @t40 (= @t70 @t68))) % 0.36/0.70 (assume @p27 (forall @t66 (= (forall @t27 (not @t44)) @t63))) % 0.36/0.70 (assume @p28 (forall (@list @t67) (not (_ @t71 tptp.bot_bot_set_b)))) % 0.36/0.70 (assume @p29 (forall (@list @t1 @t2) (= (_ @t72 @t69) @t8))) % 0.36/0.70 (assume @p30 (forall @t66 (= (_ tptp.collect_b @t65) @t42))) % 0.36/0.70 (assume @p31 (= tptp.bot_bot_set_b (_ tptp.collect_b tptp.bot_bot_b_o))) % 0.36/0.70 (assume @p32 (forall @t73 (not (_ @t72 tptp.bot_bot_set_b)))) % 0.36/0.70 (assume @p33 (forall (@list @t42 @t1) (=> @t63 @t75))) % 0.36/0.70 (assume @p34 (forall @t66 (=> (forall @t60 (not @t76)) @t63))) % 0.36/0.70 (assume @p35 (forall @t66 (= (exists @t27 @t44) @t64))) % 0.36/0.70 (assume @p36 (= tptp.bot_bot_set_b (_ tptp.collect_b (lambda @t27 false)))) % 0.36/0.70 (assume @p37 (forall @t40 (= @t70 (= @t2 tptp.bot_bot_b_o)))) % 0.36/0.70 (assume @p38 (forall @t66 (=> @t64 (=> (forall (@list @t5 @t59) (=> @t46 (=> @t76 (= @t5 @t59)))) @t77)))) % 0.36/0.70 (assume @p39 (forall @t12 (_ @t78 tptp.top_top_set_b))) % 0.36/0.70 (assume @p40 (forall (@list @t79) (and (=> @t79 (= @t80 tptp.top_top_set_b)) (=> (not @t79) (= @t80 tptp.bot_bot_set_b))))) % 0.36/0.70 (assume @p41 (forall @t66 (=> (forall @t7 @t46) (= tptp.top_top_set_b @t42)))) % 0.36/0.70 (assume @p42 (exists @t7 (_ @t45 tptp.top_top_set_b))) % 0.36/0.70 (assume @p43 (not (= tptp.bot_bot_set_b tptp.top_top_set_b))) % 0.36/0.70 (assume @p44 (forall @t12 (_ tptp.is_singleton_b @t82))) % 0.36/0.70 (assume @p45 (forall @t86 (= @t85 (or @t83 @t74)))) % 0.36/0.70 (assume @p46 (forall @t91 (=> (=> (not @t90) @t83) @t89))) % 0.36/0.70 (assume @p47 (forall @t73 (_ @t72 @t93))) % 0.36/0.70 (assume @p48 (forall @t73 (= (_ tptp.collect_b (lambda @t27 @t94)) @t93))) % 0.36/0.70 (assume @p49 (forall @t73 (= (_ tptp.collect_b (_ @t15 @t1)) @t93))) % 0.36/0.70 (assume @p50 (forall @t97 (=> @t74 (exists @t96 (and (= @t42 (_ @t92 @t95)) (not (_ @t72 @t95))))))) % 0.36/0.70 (assume @p51 (forall (@list @t1 @t42 @t50 @t87) (=> @t75 (=> (not (_ @t99 @t87)) (= (= @t102 @t88) (and (=> @t83 @t101) (=> @t100 (exists (@list @t98) (and (= @t42 (_ @t84 @t98)) (not (_ @t99 @t98)) (= @t87 (_ @t92 @t98)) (not (_ @t72 @t98))))))))))) % 0.36/0.70 (assume @p52 (forall @t97 (=> @t74 (= @t102 @t42)))) % 0.36/0.70 (assume @p53 (forall @t109 (=> @t108 (=> @t106 (= (= @t104 @t103) @t101))))) % 0.36/0.70 (assume @p54 (forall @t110 (=> @t107 (not (forall @t96 (=> (= @t42 (_ @t81 @t95)) (_ @t78 @t95))))))) % 0.36/0.70 (assume @p55 (forall @t91 (=> @t90 @t89))) % 0.36/0.70 (assume @p56 (forall (@list @t1 @t87) (_ @t72 @t111))) % 0.36/0.70 (assume @p57 (forall @t86 (=> @t85 (=> @t100 @t74)))) % 0.36/0.70 (assume @p58 (forall (@list @t1 @t50) (=> (= @t93 @t112) @t83))) % 0.36/0.70 (assume @p59 (forall @t97 (not (= @t102 tptp.bot_bot_set_b)))) % 0.36/0.70 (assume @p60 (forall (@list @t1 @t50 @t67 @t113) (= (= (_ @t92 @t112) (_ @t114 (_ (_ tptp.insert_b @t113) tptp.bot_bot_set_b))) (or (and (= @t1 @t67) (= @t50 @t113)) (and (= @t1 @t113) (= @t50 @t67)))))) % 0.36/0.70 (assume @p61 (forall @t117 (= @t116 @t115))) % 0.36/0.70 (assume @p62 (forall @t117 (=> @t116 @t115))) % 0.36/0.70 (assume @p63 (forall @t9 (and (=> @t8 (= @t118 @t93)) (=> @t119 (= @t118 tptp.bot_bot_set_b))))) % 0.36/0.70 (assume @p64 (forall @t9 (and (=> @t8 (= @t120 @t93)) (=> @t119 (= @t120 tptp.bot_bot_set_b))))) % 0.36/0.70 (assume @p65 (forall @t66 (=> @t77 (not (forall @t7 (not (= @t42 (_ (_ tptp.insert_b @t5) tptp.bot_bot_set_b)))))))) % 0.36/0.70 (assume @p66 (= tptp.is_singleton_b (lambda @t122 (= @t121 (_ (_ tptp.insert_b (_ tptp.the_elem_b @t121)) tptp.bot_bot_set_b))))) % 0.36/0.70 (assume @p67 (forall @t12 (= (_ tptp.the_elem_b @t82) @t10))) % 0.36/0.70 (assume @p68 (forall (@list @t50 @t123 @t10 @t42) (=> @t128 (=> @t107 @t126)))) % 0.36/0.70 (assume @p69 (forall @t129 (= (= @t125 tptp.bot_bot_set_b) @t63))) % 0.36/0.70 (assume @p70 (forall @t129 (= (= tptp.bot_bot_set_b @t125) @t63))) % 0.36/0.70 (assume @p71 (forall (@list @t123) (= (_ @t124 tptp.bot_bot_set_b) tptp.bot_bot_set_b))) % 0.36/0.70 (assume @p72 (forall (@list @t50 @t123 @t42) (=> @t126 (not (forall @t7 (=> (= @t50 (_ @t123 @t5)) (not @t46))))))) % 0.36/0.70 (assume @p73 (forall (@list @t10 @t42 @t123) (=> @t107 (_ (_ tptp.member_b @t127) @t125)))) % 0.36/0.70 (assume @p74 (forall (@list @t10 @t42 @t50 @t123) (=> @t107 (=> @t128 @t126)))) % 0.36/0.70 (assume @p75 (forall (@list @t123 @t42 @t2) (= (_ tptp.collect_b (lambda @t27 (and (_ @t43 @t125) @t33))) (_ @t124 (_ tptp.collect_b (lambda @t27 (and @t44 (_ @t2 (_ @t123 @t25))))))))) % 0.36/0.70 (assume @p76 (forall (@list @t10 @t123 @t42) (=> (_ @t78 @t125) (_ (_ tptp.member_b (_ (_ (_ tptp.hilbert_inv_into_b_b @t42) @t123) @t10)) @t42)))) % 0.36/0.70 (assume @p77 (forall (@list @t10 @t42 @t67) (=> @t107 @t131))) % 0.36/0.70 (assume @p78 (forall (@list @t42 @t67) (and (=> @t63 (= @t130 tptp.bot_bot_set_b)) (=> @t64 @t131)))) % 0.36/0.70 (assume @p79 (forall @t129 (=> (_ (_ @t132 @t42) tptp.bot_bot_set_b) @t63))) % 0.36/0.70 (assume @p80 (forall @t129 (=> (_ (_ @t132 tptp.bot_bot_set_b) @t42) @t63))) % 0.36/0.70 (assume @p81 (forall @t66 (_ (_ tptp.inj_on_b_set_b (lambda @t27 @t133)) @t42))) % 0.36/0.70 (assume @p82 (forall (@list @t123 @t42 @t10 @t87) (=> @t137 (=> @t106 (=> (= @t103 @t125) (not (forall (@list @t135 @t134) (=> (not (_ (_ tptp.member_b @t135) @t134)) (=> (= @t42 (_ (_ tptp.insert_b @t135) @t134)) (=> (= @t10 (_ @t123 @t135)) (not (= @t87 (_ @t124 @t134))))))))))))) % 0.36/0.70 (assume @p83 (forall @t139 (=> (_ @t136 tptp.top_top_set_b) (= (_ @t138 @t125) @t74)))) % 0.36/0.70 (assume @p84 (forall @t139 (= (_ @t136 @t102) (and @t137 (not (_ @t138 (_ @t124 @t141))))))) % 0.36/0.70 (assume @p85 (forall @t147 (=> @t146 (=> @t145 @t143)))) % 0.36/0.70 (assume @p86 (forall @t147 (= @t143 (and @t146 @t145)))) % 0.36/0.70 (assume @p87 (forall @t66 (= (_ @t140 tptp.bot_bot_set_b) @t42))) % 0.36/0.70 (assume @p88 (forall @t66 (= (_ (_ tptp.minus_minus_set_b tptp.bot_bot_set_b) @t42) tptp.bot_bot_set_b))) % 0.36/0.70 (assume @p89 (forall @t66 (= (_ @t140 @t42) tptp.bot_bot_set_b))) % 0.36/0.70 (assume @p90 (forall @t151 @t150)) % 0.36/0.70 (assume @p91 (forall @t109 (=> @t108 (= (_ @t140 @t103) @t142)))) % 0.36/0.70 (assume @p92 (forall @t97 (= @t152 @t102))) % 0.36/0.70 (assume @p93 (forall @t66 (= (_ @t140 tptp.top_top_set_b) tptp.bot_bot_set_b))) % 0.36/0.70 (assume @p94 (forall @t110 (=> @t108 (= (_ @t148 @t82) @t42)))) % 0.36/0.70 (assume @p95 (forall @t154 (= @t153 (_ (_ tptp.minus_minus_set_b @t141) @t87)))) % 0.36/0.70 (assume @p96 (forall @t97 (=> @t74 (= @t152 @t42)))) % 0.36/0.70 (assume @p97 (forall @t154 (= @t153 (_ (_ tptp.minus_minus_set_b @t142) @t93)))) % 0.36/0.70 (assume @p98 (forall (@list @t155 @t10 @t42) (=> (forall (@list @t156) (=> (_ (_ tptp.member_set_b @t156) @t155) (not (_ @t78 @t156)))) (= (_ (_ tptp.member_set_b @t42) (_ (_ tptp.image_set_b_set_b @t81) @t155)) (and @t107 (_ (_ tptp.member_set_b (_ @t140 @t82)) @t155)))))) % 0.36/0.70 (assume @p99 (forall @t147 (=> @t143 (not (=> @t146 @t144))))) % 0.36/0.70 (assume @p100 (forall @t147 (=> @t143 @t146))) % 0.36/0.70 (assume @p101 (forall @t147 (=> @t143 @t145))) % 0.36/0.70 (assume @p102 (forall @t151 (and @t150 (=> @t106 (= @t149 (_ @t81 @t142)))))) % 0.36/0.70 (assume @p103 @t165) % 0.36/0.70 (assume @p104 @t175) % 0.36/0.70 (assume @p105 true) % 0.36/0.70 (step @p106 (= tptp.is_empty_b @t176) :rule refl :args (@t176)) % 0.36/0.70 (step @p107 (= tptp.bot_bot_b_o @t177) :rule refl :args (@t177)) % 0.36/0.70 (step @p108 (= tptp.insert_b @t181) :rule refl :args (@t181)) % 0.36/0.70 (step @p109 (= tptp.top_top_b_o @t182) :rule refl :args (@t182)) % 0.36/0.70 (step @p110 (= tptp.is_singleton_b @t183) :rule refl :args (@t183)) % 0.36/0.70 (step @p111 (= tptp.minus_minus_set_b @t184) :rule refl :args (@t184)) % 0.36/0.70 (step @p112 (= tptp.remove_b @t185) :rule refl :args (@t185)) % 0.36/0.70 (step @p113 :rule aci_norm :args ((= (or false @t190) @t190))) % 0.36/0.70 (step @p114 :rule eq-symm :args (@t187 @t189)) % 0.36/0.70 (step @p115 :rule bool-eq-nrefl :args (@t187)) % 0.36/0.70 (step @p116 :rule eq-symm :args (@t191 @t187)) % 0.36/0.70 (step @p117 :rule trans :premises (@p116 @p115)) % 0.36/0.70 (step @p118 :rule nary_cong :premises (@p117 @p114) :args (@t192)) % 0.36/0.70 (step @p119 :rule trans :premises (@p118 @p113)) % 0.36/0.70 (step @p120 :rule cong :premises (@p119) :args ((forall @t40 @t192))) % 0.36/0.70 (step @p121 :rule quant-var-elim-eq :args ((= (forall @t196 (or (not (= @t16 @t187)) @t195 @t193)) @t192))) % 0.36/0.70 (step @p122 :rule refl :args (@t193)) % 0.36/0.70 (step @p123 :rule refl :args (@t195)) % 0.36/0.70 (step @p124 :rule refl :args (@t187)) % 0.36/0.70 (step @p125 :rule bool-double-not-elim :args (@t16)) % 0.36/0.70 (step @p126 :rule cong :premises (@p125 @p124) :args ((= (not @t194) @t187))) % 0.36/0.70 (step @p127 :rule bool-not-eq-elim1 :args (@t194 @t187)) % 0.36/0.70 (step @p128 :rule trans :premises (@p127 @p126)) % 0.36/0.70 (step @p129 :rule cong :premises (@p128) :args ((not (not @t195)))) % 0.36/0.70 (step @p130 :rule bool-double-not-elim :args (@t195)) % 0.36/0.70 (step @p131 :rule symm :premises (@p130)) % 0.36/0.70 (step @p132 :rule trans :premises (@p131 @p129)) % 0.36/0.70 (step @p133 :rule nary_cong :premises (@p132 @p123 @p122) :args (@t197)) % 0.36/0.70 (step @p134 :rule aci_norm :args ((= @t198 @t197))) % 0.36/0.70 (step @p135 :rule trans :premises (@p134 @p133)) % 0.36/0.70 (step @p136 :rule cong :premises (@p135) :args (@t199)) % 0.36/0.70 (step @p137 :rule trans :premises (@p136 @p121)) % 0.36/0.70 (step @p138 :rule cong :premises (@p137) :args (@t200)) % 0.36/0.70 (step @p139 :rule quant-merge-prenex :args ((= @t200 (forall @t23 @t198)))) % 0.36/0.70 (step @p140 :rule symm :premises (@p139)) % 0.36/0.70 (step @p141 :rule trans :premises (@p140 @p138)) % 0.36/0.70 (step @p142 :rule trans :premises (@p141 @p120)) % 0.36/0.70 (step @p143 :rule refl :args (@t193)) % 0.36/0.70 (step @p144 :rule eq-symm :args (@t187 @t194)) % 0.36/0.70 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t201)) % 0.36/0.70 (step @p146 :rule cong :premises (@p145) :args ((forall @t23 @t201))) % 0.36/0.70 (step @p147 :rule trans :premises (@p146 @p142)) % 0.36/0.70 (step @p148 :rule refl :args (@t194)) % 0.36/0.70 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:rule implies_elim :premises (@p240)) % 0.36/0.70 (step @p242 :rule chain_m_resolution :premises (@p241 @p197) :args (@t231 (@list false) (@list @t222))) % 0.36/0.70 (step @p243 :rule refl :args ((tptp.q @t166 @t168))) % 0.36/0.70 (step @p244 :rule refl :args (@t209)) % 0.36/0.70 (step @p245 :rule refl :args (@t166)) % 0.36/0.70 (step @p246 :rule cong :premises (@p245 @p244) :args (@t210)) % 0.36/0.70 (step @p247 :rule trans :premises (@p246 @p243)) % 0.36/0.70 (step @p248 :rule refl :args (@t167)) % 0.36/0.70 (step @p249 :rule ho_cong :premises (@p248 @p244)) % 0.36/0.70 (step @p250 :rule cong :premises (@p249 @p247) :args ((= (_ @t167 @t209) @t210))) % 0.36/0.70 (step @p251 :rule symm :premises (@p250)) % 0.36/0.70 (step @p252 :rule refl :args (@t169)) % 0.36/0.70 (step @p253 :rule eq_resolve :premises (@p252 @p251)) % 0.36/0.70 (step @p254 :rule refl :args (@t168)) % 0.36/0.70 (step @p255 :rule cong :premises (@p254 @p244) :args ((= @t168 @t209))) % 0.36/0.70 (step @p256 :rule symm 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(step @p286 :rule eq_resolve :premises (@p283 @p285)) % 0.36/0.70 (step @p287 :rule cong :premises (@p286) :args (@t242)) % 0.36/0.70 (step @p288 :rule nary_cong :premises (@p287 @p281) :args (@t243)) % 0.36/0.70 (step @p289 :rule cong :premises (@p288) :args ((forall @t164 @t243))) % 0.36/0.70 (step @p290 :rule bool-impl-elim :args (@t162 @t240)) % 0.36/0.70 (step @p291 :rule cong :premises (@p290) :args ((forall @t164 (=> @t162 @t240)))) % 0.36/0.70 (step @p292 :rule trans :premises (@p291 @p289)) % 0.36/0.70 (step @p293 :rule refl :args (@t239)) % 0.36/0.70 (step @p294 :rule refl :args (@t159)) % 0.36/0.70 (step @p295 :rule cong :premises (@p294 @p293) :args ((= @t159 @t239))) % 0.36/0.70 (step @p296 :rule symm :premises (@p295)) % 0.36/0.70 (step @p297 :rule eq_resolve :premises (@p294 @p296)) % 0.36/0.70 (step @p298 :rule cong :premises (@p297) :args (@t244)) % 0.36/0.70 (step @p299 :rule cong :premises (@p298) :args (@t245)) % 0.36/0.70 (step @p300 :rule cong :premises (@p299) :args (@t246)) % 0.36/0.70 (step @p301 :rule exists-elim :args ((= @t161 @t246))) % 0.36/0.70 (step @p302 :rule trans :premises (@p301 @p300)) % 0.36/0.70 (step @p303 :rule refl :args (@t162)) % 0.36/0.70 (step @p304 :rule cong :premises (@p303 @p302) :args (@t163)) % 0.36/0.70 (step @p305 :rule cong :premises (@p304) :args (@t165)) % 0.36/0.70 (step @p306 :rule trans :premises (@p305 @p292)) % 0.36/0.70 (step @p307 :rule eq_resolve :premises (@p103 @p306)) % 0.53/0.70 (step @p308 :rule instantiate :premises (@p307) :args ((@list @t212))) % 0.53/0.70 (step @p309 :rule bool-double-not-elim :args (@t232)) % 0.53/0.70 (step @p310 :rule refl :args (@t234)) % 0.53/0.70 (step @p311 :rule nary_cong :premises (@p310 @p309) :args ((or @t234 (not @t233)))) % 0.53/0.70 (step @p312 :rule cnf_or_neg :args (@t234 0)) % 0.53/0.70 (step @p313 :rule eq_resolve :premises (@p312 @p311)) % 0.53/0.70 (step @p314 :rule reordering :premises (@p313) :args ((or @t232 @t234))) % 0.53/0.70 (step @p315 :rule chain_m_resolution :premises (@p314 @p270) :args (@t232 @t235 @t236)) % 0.53/0.70 (step @p316 :rule cnf_or_pos :args (@t249)) % 0.53/0.70 (step @p317 :rule reordering :premises (@p316) :args ((or @t233 @t248 (not @t249)))) % 0.53/0.70 (step @p318 :rule chain_m_resolution :premises (@p317 @p315 @p308) :args (@t248 (@list false false) (@list @t232 @t249))) % 0.53/0.70 (step @p319 :rule alpha_equiv :args (@t214 (@list @t17) (@list @t157))) % 0.53/0.70 (step @p320 :rule equiv_elim1 :premises (@p319)) % 0.53/0.70 (step @p321 false :rule chain_m_resolution :premises (@p320 @p318 @p280) :args (false @t238 (@list @t247 @t214))) % 0.53/0.70 ) % 0.53/0.70 % SZS output end Proof % 0.53/0.70 % cvc5 exiting %------------------------------------------------------------------------------