%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV406+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:01:22 AM UTC 2026 % Result : Theorem 0.45s 0.66s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV406+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 20:06:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.66 % SZS status Theorem % 0.45/0.66 % SZS output start Proof % 0.45/0.66 ( % 0.45/0.66 (declare-sort $$unsorted 0) % 0.45/0.66 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.bottom $$unsorted) % 0.45/0.66 (declare-const tptp.create_slb $$unsorted) % 0.45/0.66 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.ok (-> $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.bad $$unsorted) % 0.45/0.66 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (define @t1 () (@var "W" $$unsorted)) % 0.45/0.66 (define @t2 () (@var "U" $$unsorted)) % 0.45/0.66 (define @t3 () (@var "V" $$unsorted)) % 0.45/0.66 (define @t4 () (tptp.less_than @t2 @t3)) % 0.45/0.66 (define @t5 () (@list @t2 @t3 @t1)) % 0.45/0.66 (define @t6 () (tptp.less_than @t3 @t2)) % 0.45/0.66 (define @t7 () (@list @t2 @t3)) % 0.45/0.66 (define @t8 () (@list @t2)) % 0.45/0.66 (define @t9 () (tptp.pair @t3 @t1)) % 0.45/0.66 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.45/0.66 (define @t11 () (= @t3 @t1)) % 0.45/0.66 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.45/0.66 (define @t13 () (@var "X" $$unsorted)) % 0.45/0.66 (define @t14 () (tptp.pair @t3 @t13)) % 0.45/0.66 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.45/0.66 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.45/0.66 (define @t17 () (@var "Y" $$unsorted)) % 0.45/0.66 (define @t18 () (@list @t2 @t3 @t1 @t13 @t17)) % 0.45/0.66 (define @t19 () (forall @t18 (= (tptp.pair_in_list @t15 @t1 @t17) (or (tptp.pair_in_list @t2 @t1 @t17) (and @t11 (= @t13 @t17)))))) % 0.45/0.66 (define @t20 () (and (not @t11) @t12)) % 0.45/0.66 (define @t21 () (tptp.update_slb @t2 @t1)) % 0.45/0.66 (define @t22 () (tptp.update_slb @t15 @t1)) % 0.45/0.66 (define @t23 () (tptp.succ_cpq @t2 @t3)) % 0.45/0.66 (define @t24 () (tptp.triple @t2 tptp.create_slb @t3)) % 0.45/0.66 (define @t25 () (tptp.triple @t2 @t3 @t1)) % 0.45/0.66 (define @t26 () (tptp.check_cpq (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t13 @t17)) @t1))) % 0.45/0.66 (define @t27 () (= @t26 (tptp.check_cpq @t25))) % 0.45/0.66 (define @t28 () (tptp.less_than @t17 @t13)) % 0.45/0.66 (define @t29 () (forall @t18 (=> @t28 @t27))) % 0.45/0.66 (define @t30 () (tptp.strictly_less_than @t13 @t17)) % 0.45/0.66 (define @t31 () (=> @t30 (= @t26 false))) % 0.45/0.66 (define @t32 () (forall @t18 @t31)) % 0.45/0.66 (define @t33 () (tptp.contains_slb @t3 @t13)) % 0.45/0.66 (define @t34 () (tptp.triple @t2 @t3 tptp.bad)) % 0.45/0.66 (define @t35 () (tptp.remove_cpq @t25 @t13)) % 0.45/0.66 (define @t36 () (tptp.remove_slb @t3 @t13)) % 0.45/0.66 (define @t37 () (tptp.remove_pqp @t2 @t13)) % 0.45/0.66 (define @t38 () (tptp.lookup_slb @t3 @t13)) % 0.45/0.66 (define @t39 () (tptp.findmin_pqp_res @t2)) % 0.45/0.66 (define @t40 () (tptp.update_slb @t3 @t39)) % 0.45/0.66 (define @t41 () (tptp.findmin_cpq_eff @t25)) % 0.45/0.66 (define @t42 () (= @t41 (tptp.triple @t2 @t40 tptp.bad))) % 0.45/0.66 (define @t43 () (tptp.contains_slb @t3 @t39)) % 0.45/0.66 (define @t44 () (not (= @t3 tptp.create_slb))) % 0.45/0.66 (define @t45 () (tptp.lookup_slb @t3 @t39)) % 0.45/0.66 (define @t46 () (tptp.findmin_cpq_res @t2)) % 0.45/0.66 (define @t47 () (@var "X4" $$unsorted)) % 0.45/0.66 (define @t48 () (@var "X5" $$unsorted)) % 0.45/0.66 (define @t49 () (tptp.less_than @t48 @t47)) % 0.45/0.66 (define @t50 () (@var "X3" $$unsorted)) % 0.45/0.66 (define @t51 () (@var "X2" $$unsorted)) % 0.45/0.66 (define @t52 () (tptp.insert_slb @t2 (tptp.pair @t51 @t50))) % 0.45/0.66 (define @t53 () (tptp.pair_in_list @t52 @t47 @t48)) % 0.45/0.66 (define @t54 () (@list @t47 @t48)) % 0.45/0.66 (define @t55 () (forall @t54 (=> @t53 @t49))) % 0.45/0.66 (define @t56 () (@var "X1" $$unsorted)) % 0.45/0.66 (define @t57 () (@var "Z" $$unsorted)) % 0.45/0.66 (define @t58 () (tptp.check_cpq (tptp.triple @t57 @t52 @t56))) % 0.45/0.66 (define @t59 () (= @t58 @t55)) % 0.45/0.66 (define @t60 () (@list @t57 @t56 @t51 @t50)) % 0.45/0.66 (define @t61 () (forall @t60 @t59)) % 0.45/0.66 (define @t62 () (tptp.pair_in_list @t2 @t13 @t17)) % 0.45/0.66 (define @t63 () (@list @t13 @t17)) % 0.45/0.66 (define @t64 () (forall @t63 (=> @t62 @t28))) % 0.45/0.66 (define @t65 () (tptp.check_cpq (tptp.triple @t3 @t2 @t1))) % 0.45/0.66 (define @t66 () (= @t65 @t64)) % 0.45/0.66 (define @t67 () (@list @t3 @t1)) % 0.45/0.66 (define @t68 () (forall @t67 @t66)) % 0.45/0.66 (define @t69 () (=> @t68 @t61)) % 0.45/0.66 (define @t70 () (forall @t8 @t69)) % 0.45/0.66 (define @t71 () (not @t70)) % 0.45/0.66 (define @t72 () (not @t26)) % 0.45/0.66 (define @t73 () (@var "BOUND_VARIABLE_7813" $$unsorted)) % 0.45/0.66 (define @t74 () (@var "BOUND_VARIABLE_7811" $$unsorted)) % 0.45/0.67 (define @t75 () (tptp.insert_slb @t2 (tptp.pair @t74 @t73))) % 0.45/0.67 (define @t76 () (@var "BOUND_VARIABLE_7809" $$unsorted)) % 0.45/0.67 (define @t77 () (@var "BOUND_VARIABLE_7807" $$unsorted)) % 0.45/0.67 (define @t78 () (= (tptp.check_cpq (tptp.triple @t77 @t75 @t76)) (forall @t54 (or (not (tptp.pair_in_list @t75 @t47 @t48)) @t49)))) % 0.45/0.67 (define @t79 () (forall @t67 (= @t65 (forall @t63 (or (not @t62) @t28))))) % 0.45/0.67 (define @t80 () (not @t79)) % 0.45/0.67 (define @t81 () (or @t80 @t78)) % 0.45/0.67 (define @t82 () (forall (@list @t2 @t77 @t76 @t74 @t73) @t81)) % 0.45/0.67 (define @t83 () (@quantifiers_skolemize @t82 4)) % 0.45/0.67 (define @t84 () (@quantifiers_skolemize @t82 3)) % 0.45/0.67 (define @t85 () (@list @t84 @t83)) % 0.45/0.67 (define @t86 () (@quantifiers_skolemize @t82 2)) % 0.45/0.67 (define @t87 () (@quantifiers_skolemize @t82 0)) % 0.45/0.67 (define @t88 () (@quantifiers_skolemize @t82 1)) % 0.45/0.67 (define @t89 () (@list @t88 @t87 @t86 @t84 @t83)) % 0.45/0.67 (define @t90 () (tptp.check_cpq (tptp.triple @t88 @t87 @t86))) % 0.45/0.67 (define @t91 () (tptp.insert_slb @t87 (tptp.pair @t84 @t83))) % 0.45/0.67 (define @t92 () (tptp.check_cpq (tptp.triple @t88 @t91 @t86))) % 0.45/0.67 (define @t93 () (= @t92 @t90)) % 0.45/0.67 (define @t94 () (tptp.less_than @t83 @t84)) % 0.45/0.67 (define @t95 () (not @t94)) % 0.45/0.67 (define @t96 () (or @t95 @t93)) % 0.45/0.67 (define @t97 () (tptp.less_than @t84 @t83)) % 0.45/0.67 (define @t98 () (and @t97 @t95)) % 0.45/0.67 (define @t99 () (not @t98)) % 0.45/0.67 (define @t100 () (tptp.strictly_less_than @t84 @t83)) % 0.45/0.67 (define @t101 () (= @t100 @t98)) % 0.45/0.67 (define @t102 () (not @t101)) % 0.45/0.67 (define @t103 () (not @t100)) % 0.45/0.67 (define @t104 () (@list @t77 @t76 @t74 @t73)) % 0.45/0.67 (define @t105 () (forall @t104 @t81)) % 0.45/0.67 (define @t106 () (forall @t104 @t78)) % 0.45/0.67 (define @t107 () (or @t80 @t106)) % 0.45/0.67 (define @t108 () (forall @t60 (= @t58 (forall @t54 (or (not @t53) @t49))))) % 0.45/0.67 (define @t109 () (forall @t54 (or (not (tptp.pair_in_list @t91 @t47 @t48)) @t49))) % 0.45/0.67 (define @t110 () (= @t92 @t109)) % 0.45/0.67 (define @t111 () (forall @t63 (or (not (tptp.pair_in_list @t87 @t13 @t17)) @t28))) % 0.45/0.67 (define @t112 () (forall @t67 (= (tptp.check_cpq (tptp.triple @t3 @t87 @t1)) @t111))) % 0.45/0.67 (define @t113 () (not @t112)) % 0.45/0.67 (define @t114 () (or @t113 @t110)) % 0.45/0.67 (define @t115 () (@list true)) % 0.45/0.67 (define @t116 () (@list @t114)) % 0.45/0.67 (define @t117 () (@quantifiers_skolemize @t111 1)) % 0.45/0.67 (define @t118 () (@quantifiers_skolemize @t111 0)) % 0.45/0.67 (define @t119 () (tptp.less_than @t117 @t118)) % 0.45/0.67 (define @t120 () (tptp.pair_in_list @t91 @t118 @t117)) % 0.45/0.67 (define @t121 () (not @t120)) % 0.45/0.67 (define @t122 () (or @t121 @t119)) % 0.45/0.67 (define @t123 () (not @t93)) % 0.45/0.67 (define @t124 () (not @t90)) % 0.45/0.67 (define @t125 () (= @t90 @t111)) % 0.45/0.67 (define @t126 () (= @t111 @t90)) % 0.45/0.67 (define @t127 () (@list false)) % 0.45/0.67 (define @t128 () (not @t126)) % 0.45/0.67 (define @t129 () (not @t111)) % 0.45/0.67 (define @t130 () (tptp.pair_in_list @t87 @t118 @t117)) % 0.45/0.67 (define @t131 () (not @t130)) % 0.45/0.67 (define @t132 () (or @t131 @t119)) % 0.45/0.67 (define @t133 () (not @t132)) % 0.45/0.67 (define @t134 () (or @t130 (and (= @t84 @t118) (= @t83 @t117)))) % 0.45/0.67 (define @t135 () (= @t120 @t134)) % 0.45/0.67 (define @t136 () (not @t109)) % 0.45/0.67 (define @t137 () (@quantifiers_skolemize @t109 0)) % 0.45/0.67 (define @t138 () (@quantifiers_skolemize @t109 1)) % 0.45/0.67 (define @t139 () (tptp.less_than @t138 @t137)) % 0.45/0.67 (define @t140 () (tptp.pair_in_list @t91 @t137 @t138)) % 0.45/0.67 (define @t141 () (not @t140)) % 0.45/0.67 (define @t142 () (or @t141 @t139)) % 0.45/0.67 (define @t143 () (not @t142)) % 0.45/0.67 (define @t144 () (not @t92)) % 0.45/0.67 (define @t145 () (= @t83 @t138)) % 0.45/0.67 (define @t146 () (= @t84 @t137)) % 0.45/0.67 (define @t147 () (and @t146 @t145)) % 0.45/0.67 (define @t148 () (tptp.pair_in_list @t87 @t137 @t138)) % 0.45/0.67 (define @t149 () (or @t148 @t147)) % 0.45/0.67 (define @t150 () (= @t140 @t149)) % 0.45/0.67 (define @t151 () (tptp.less_than @t137 @t138)) % 0.45/0.67 (define @t152 () (or @t139 @t151)) % 0.45/0.67 (define @t153 () (@list @t137 @t138)) % 0.45/0.67 (define @t154 () (not @t148)) % 0.45/0.67 (define @t155 () (or @t154 @t139)) % 0.45/0.67 (define @t156 () (not @t151)) % 0.45/0.67 (define @t157 () (not @t139)) % 0.45/0.67 (define @t158 () (and @t151 @t157)) % 0.45/0.67 (define @t159 () (tptp.strictly_less_than @t137 @t138)) % 0.45/0.67 (define @t160 () (= @t159 @t158)) % 0.45/0.67 (define @t161 () (not @t147)) % 0.45/0.67 (define @t162 () (not @t145)) % 0.45/0.67 (define @t163 () (not @t146)) % 0.45/0.67 (define @t164 () (not @t159)) % 0.45/0.67 (define @t165 () (and @t103 @t146 @t145 @t159)) % 0.45/0.67 (define @t166 () (or @t94 @t97)) % 0.45/0.67 (define @t167 () (@list true false)) % 0.45/0.67 (define @t168 () (not @t97)) % 0.45/0.67 (define @t169 () (@list false false)) % 0.45/0.67 (define @t170 () (tptp.pair_in_list @t91 @t84 @t83)) % 0.45/0.67 (define @t171 () (tptp.pair_in_list @t87 @t84 @t83)) % 0.45/0.67 (define @t172 () (and (= @t84 @t84) (= @t83 @t83))) % 0.45/0.67 (define @t173 () (or @t171 @t172)) % 0.45/0.67 (define @t174 () (= @t170 @t173)) % 0.45/0.67 (define @t175 () (not @t170)) % 0.45/0.67 (define @t176 () (or @t175 @t94)) % 0.45/0.67 (define @t177 () (not @t176)) % 0.45/0.67 (define @t178 () (or @t103 @t144)) % 0.45/0.67 (define @t179 () (not @t178)) % 0.45/0.67 (define @t180 () (forall @t18 (or (not @t30) @t72))) % 0.45/0.67 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.45/0.67 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.45/0.67 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.45/0.67 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.45/0.67 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.45/0.67 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.45/0.67 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.45/0.67 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.45/0.67 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.45/0.67 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.45/0.67 (assume @p11 @t19) % 0.45/0.67 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.45/0.67 (assume @p13 (forall @t16 (=> @t20 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.45/0.67 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.45/0.67 (assume @p15 (forall @t16 (=> @t20 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.45/0.67 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.45/0.67 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t22 (tptp.insert_slb @t21 @t9))))) % 0.45/0.67 (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t22 (tptp.insert_slb @t21 @t14))))) % 0.45/0.67 (assume @p19 (forall @t8 (tptp.succ_cpq @t2 @t2))) % 0.45/0.67 (assume @p20 (forall @t5 (=> @t23 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1))))) % 0.45/0.67 (assume @p21 (forall @t5 (=> @t23 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1))))) % 0.45/0.67 (assume @p22 (forall @t7 (=> @t23 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3))))) % 0.45/0.67 (assume @p23 (forall @t7 (=> @t23 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3))))) % 0.45/0.67 (assume @p24 (forall @t7 (tptp.check_cpq @t24))) % 0.45/0.67 (assume @p25 @t29) % 0.45/0.67 (assume @p26 @t32) % 0.45/0.67 (assume @p27 (forall @t16 (= (tptp.contains_cpq @t25 @t13) @t33))) % 0.45/0.67 (assume @p28 (forall @t7 (= (tptp.ok @t34) false))) % 0.45/0.67 (assume @p29 (forall @t5 (=> (not (tptp.ok @t25)) (= @t1 tptp.bad)))) % 0.45/0.67 (assume @p30 (forall @t16 (= (tptp.insert_cpq @t25 @t13) (tptp.triple (tptp.insert_pqp @t2 @t13) (tptp.insert_slb @t3 (tptp.pair @t13 tptp.bottom)) @t1)))) % 0.45/0.67 (assume @p31 (forall @t16 (=> (not @t33) (= @t35 @t34)))) % 0.45/0.67 (assume @p32 (forall @t16 (=> (and @t33 (tptp.less_than @t38 @t13)) (= @t35 (tptp.triple @t37 @t36 @t1))))) % 0.45/0.67 (assume @p33 (forall @t16 (=> (and @t33 (tptp.strictly_less_than @t13 @t38)) (= @t35 (tptp.triple @t37 @t36 tptp.bad))))) % 0.45/0.67 (assume @p34 (forall @t7 (= (tptp.findmin_cpq_eff @t24) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 0.45/0.67 (assume @p35 (forall @t16 (=> (and @t44 (not @t43)) @t42))) % 0.45/0.67 (assume @p36 (forall @t16 (=> (and @t44 @t43 (tptp.strictly_less_than @t39 @t45)) @t42))) % 0.45/0.67 (assume @p37 (forall @t16 (=> (and @t44 @t43 (tptp.less_than @t45 @t39)) (= @t41 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@t109 @t100 @t101 @t98 @t93 @t96))) % 0.45/0.67 (step @p234 :rule cnf_or_pos :args (@t166)) % 0.45/0.67 (step @p235 :rule reordering :premises (@p234) :args ((or @t94 @t97 (not @t166)))) % 0.45/0.67 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p53) :args (@t97 @t167 (@list @t94 @t166))) % 0.45/0.67 (step @p237 :rule bool-double-not-elim :args (@t94)) % 0.45/0.67 (step @p238 :rule refl :args (@t168)) % 0.45/0.67 (step @p239 :rule refl :args (@t98)) % 0.45/0.67 (step @p240 :rule nary_cong :premises (@p239 @p238 @p237) :args ((or @t98 @t168 (not @t95)))) % 0.45/0.67 (step @p241 :rule cnf_and_neg :args (@t98)) % 0.45/0.67 (step @p242 :rule eq_resolve :premises (@p241 @p240)) % 0.45/0.67 (step @p243 :rule reordering :premises (@p242) :args ((or @t94 @t168 @t98))) % 0.45/0.67 (step @p244 :rule chain_m_resolution :premises (@p243 @p233 @p236) :args (@t98 @t167 (@list @t94 @t97))) % 0.45/0.67 (step @p245 :rule cnf_equiv_pos2 :args (@t101)) % 0.45/0.67 (step @p246 :rule reordering :premises (@p245) :args ((or @t100 @t99 @t102))) % 0.45/0.67 (step @p247 :rule chain_m_resolution :premises (@p246 @p244 @p52) :args (@t100 @t169 (@list @t98 @t101))) % 0.45/0.67 (step @p248 :rule bool-eq-true :args (@t170)) % 0.45/0.67 (step @p249 :rule absorb :args ((= (or @t171 true) true))) % 0.45/0.67 (step @p250 :rule evaluate :args ((and true true))) % 0.45/0.67 (step @p251 :rule eq-refl :args (@t83)) % 0.45/0.67 (step @p252 :rule eq-refl :args (@t84)) % 0.45/0.67 (step @p253 :rule nary_cong :premises (@p252 @p251) :args (@t172)) % 0.45/0.67 (step @p254 :rule trans :premises (@p253 @p250)) % 0.45/0.67 (step @p255 :rule refl :args (@t171)) % 0.45/0.67 (step @p256 :rule nary_cong :premises (@p255 @p254) :args (@t173)) % 0.45/0.67 (step @p257 :rule trans :premises (@p256 @p249)) % 0.45/0.67 (step @p258 :rule refl :args (@t170)) % 0.45/0.67 (step @p259 :rule cong :premises (@p258 @p257) :args (@t174)) % 0.45/0.67 (step @p260 :rule trans :premises (@p259 @p248)) % 0.45/0.67 (step @p261 :rule refl :args (@t19)) % 0.45/0.67 (step @p262 :rule cong :premises (@p261 @p260) :args ((=> @t19 @t174))) % 0.45/0.67 (assume-push @p315 @t19) % 0.45/0.67 (step @p264 :rule instantiate :premises (@p11) :args ((@list @t87 @t84 @t84 @t83 @t83))) % 0.45/0.67 (step-pop @p316 :rule scope :premises (@p264)) % 0.45/0.67 (step @p265 :rule process_scope :premises (@p316) :args (@t174)) % 0.45/0.67 (step @p267 :rule eq_resolve :premises (@p265 @p262)) % 0.45/0.67 (step @p268 :rule implies_elim :premises (@p267)) % 0.45/0.67 (step @p269 :rule chain_m_resolution :premises (@p268 @p11) :args (@t170 @t127 (@list @t19))) % 0.45/0.67 (step @p270 :rule cnf_or_pos :args (@t176)) % 0.45/0.67 (step @p271 :rule reordering :premises (@p270) :args ((or @t94 @t175 @t177))) % 0.45/0.67 (step @p272 :rule chain_m_resolution :premises (@p271 @p233 @p269) :args (@t177 @t167 (@list @t94 @t170))) % 0.45/0.67 (assume-push @p317 @t109) % 0.45/0.67 (step @p274 :rule instantiate :premises (@p317) :args (@t85)) % 0.45/0.67 (step-pop @p318 :rule scope :premises (@p274)) % 0.45/0.67 (step @p275 :rule process_scope :premises (@p318) :args (@t176)) % 0.45/0.67 (step @p277 :rule implies_elim :premises (@p275)) % 0.45/0.67 (step @p278 :rule chain_m_resolution :premises (@p277 @p272) :args (@t136 @t115 (@list @t176))) % 0.45/0.67 (step @p279 :rule chain_m_resolution :premises (@p146 @p278 @p93) :args (@t92 (@list true true) (@list @t109 @t110))) % 0.45/0.67 (step @p280 :rule cnf_or_pos :args (@t178)) % 0.45/0.67 (step @p281 :rule reordering :premises (@p280) :args ((or @t144 @t103 @t179))) % 0.45/0.67 (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p247) :args (@t179 @t169 (@list @t92 @t100))) % 0.45/0.67 (assume-push @p319 @t180) % 0.45/0.67 (step @p284 :rule instantiate :premises (@p51) :args (@t89)) % 0.45/0.67 (step-pop @p320 :rule scope :premises (@p284)) % 0.45/0.67 (step @p285 :rule process_scope :premises (@p320) :args (@t178)) % 0.45/0.67 (step @p287 :rule implies_elim :premises (@p285)) % 0.45/0.67 (step @p288 false :rule chain_m_resolution :premises (@p287 @p282 @p51) :args (false @t167 (@list @t178 @t180))) % 0.45/0.67 ) % 0.45/0.67 % SZS output end Proof % 0.45/0.67 % cvc5 exiting %------------------------------------------------------------------------------