%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV391+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 : n018.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 09:01:20 AM UTC 2026 % Result : Theorem 0.36s 0.62s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV391+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n018.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 20:06:20 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.62 % SZS status Theorem % 0.36/0.62 % SZS output start Proof % 0.36/0.62 ( % 0.36/0.62 (declare-sort $$unsorted 0) % 0.36/0.62 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.bottom $$unsorted) % 0.36/0.62 (declare-const tptp.create_slb $$unsorted) % 0.36/0.62 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.ok (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.bad $$unsorted) % 0.36/0.62 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (define @t1 () (@var "W" $$unsorted)) % 0.36/0.62 (define @t2 () (@var "U" $$unsorted)) % 0.36/0.62 (define @t3 () (@var "V" $$unsorted)) % 0.36/0.62 (define @t4 () (tptp.less_than @t2 @t3)) % 0.36/0.62 (define @t5 () (@list @t2 @t3 @t1)) % 0.36/0.62 (define @t6 () (tptp.less_than @t3 @t2)) % 0.36/0.62 (define @t7 () (@list @t2 @t3)) % 0.36/0.62 (define @t8 () (@list @t2)) % 0.36/0.62 (define @t9 () (tptp.pair @t3 @t1)) % 0.36/0.62 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.36/0.62 (define @t11 () (= @t3 @t1)) % 0.36/0.62 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.36/0.62 (define @t13 () (@var "X" $$unsorted)) % 0.36/0.62 (define @t14 () (tptp.pair @t3 @t13)) % 0.36/0.62 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.36/0.62 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.36/0.62 (define @t17 () (@var "Y" $$unsorted)) % 0.36/0.62 (define @t18 () (@list @t2 @t3 @t1 @t13 @t17)) % 0.36/0.62 (define @t19 () (and (not @t11) @t12)) % 0.36/0.62 (define @t20 () (tptp.update_slb @t2 @t1)) % 0.36/0.62 (define @t21 () (tptp.update_slb @t15 @t1)) % 0.36/0.62 (define @t22 () (tptp.succ_cpq @t2 @t3)) % 0.36/0.62 (define @t23 () (tptp.triple @t2 tptp.create_slb @t3)) % 0.36/0.62 (define @t24 () (tptp.triple @t2 @t3 @t1)) % 0.36/0.62 (define @t25 () (tptp.check_cpq @t24)) % 0.36/0.62 (define @t26 () (tptp.check_cpq (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t13 @t17)) @t1))) % 0.36/0.62 (define @t27 () (tptp.less_than @t17 @t13)) % 0.36/0.62 (define @t28 () (tptp.contains_slb @t3 @t13)) % 0.36/0.62 (define @t29 () (tptp.triple @t2 @t3 tptp.bad)) % 0.36/0.62 (define @t30 () (tptp.ok @t29)) % 0.36/0.62 (define @t31 () (forall @t7 (= @t30 false))) % 0.36/0.62 (define @t32 () (tptp.remove_cpq @t24 @t13)) % 0.36/0.62 (define @t33 () (not @t28)) % 0.36/0.62 (define @t34 () (tptp.remove_slb @t3 @t13)) % 0.36/0.62 (define @t35 () (tptp.remove_pqp @t2 @t13)) % 0.36/0.62 (define @t36 () (= @t32 (tptp.triple @t35 @t34 @t1))) % 0.36/0.62 (define @t37 () (tptp.lookup_slb @t3 @t13)) % 0.36/0.62 (define @t38 () (tptp.less_than @t37 @t13)) % 0.36/0.62 (define @t39 () (and @t28 @t38)) % 0.36/0.62 (define @t40 () (forall @t16 (=> @t39 @t36))) % 0.36/0.62 (define @t41 () (= @t32 (tptp.triple @t35 @t34 tptp.bad))) % 0.36/0.62 (define @t42 () (tptp.strictly_less_than @t13 @t37)) % 0.36/0.62 (define @t43 () (and @t28 @t42)) % 0.36/0.62 (define @t44 () (forall @t16 (=> @t43 @t41))) % 0.36/0.62 (define @t45 () (tptp.findmin_pqp_res @t2)) % 0.36/0.62 (define @t46 () (tptp.update_slb @t3 @t45)) % 0.36/0.62 (define @t47 () (tptp.findmin_cpq_eff @t24)) % 0.36/0.62 (define @t48 () (= @t47 (tptp.triple @t2 @t46 tptp.bad))) % 0.36/0.62 (define @t49 () (tptp.contains_slb @t3 @t45)) % 0.36/0.62 (define @t50 () (not (= @t3 tptp.create_slb))) % 0.36/0.62 (define @t51 () (tptp.lookup_slb @t3 @t45)) % 0.36/0.62 (define @t52 () (tptp.findmin_cpq_res @t2)) % 0.36/0.62 (define @t53 () (tptp.pair_in_list @t3 @t13 @t17)) % 0.36/0.62 (define @t54 () (=> @t53 @t27)) % 0.36/0.62 (define @t55 () (@list @t13 @t17)) % 0.36/0.62 (define @t56 () (forall @t55 @t54)) % 0.36/0.62 (define @t57 () (= @t25 @t56)) % 0.36/0.62 (define @t58 () (forall @t5 @t57)) % 0.36/0.62 (define @t59 () (= @t3 @t13)) % 0.36/0.62 (define @t60 () (tptp.pair_in_list (tptp.remove_slb @t2 @t13) @t3 @t1)) % 0.36/0.62 (define @t61 () (or @t60 @t59)) % 0.36/0.62 (define @t62 () (tptp.contains_slb @t2 @t13)) % 0.36/0.62 (define @t63 () (@list @t13)) % 0.36/0.62 (define @t64 () (forall @t63 (=> @t62 @t61))) % 0.36/0.62 (define @t65 () (tptp.pair_in_list @t2 @t3 @t1)) % 0.36/0.62 (define @t66 () (=> @t65 @t64)) % 0.36/0.62 (define @t67 () (forall @t5 @t66)) % 0.36/0.62 (define @t68 () (@list @t17)) % 0.36/0.62 (define @t69 () (forall @t68 @t54)) % 0.36/0.62 (define @t70 () (tptp.ok @t32)) % 0.36/0.62 (define @t71 () (tptp.check_cpq @t32)) % 0.36/0.62 (define @t72 () (and @t71 @t70)) % 0.36/0.62 (define @t73 () (=> @t72 @t69)) % 0.36/0.62 (define @t74 () (forall @t16 @t73)) % 0.36/0.62 (define @t75 () (forall @t16 (=> @t70 @t28))) % 0.36/0.62 (define @t76 () (forall @t16 (=> @t72 @t25))) % 0.36/0.62 (define @t77 () (not @t76)) % 0.36/0.62 (define @t78 () (not @t70)) % 0.36/0.62 (define @t79 () (not @t71)) % 0.36/0.62 (define @t80 () (or @t79 @t78 @t25)) % 0.36/0.62 (define @t81 () (forall @t16 @t80)) % 0.36/0.62 (define @t82 () (@quantifiers_skolemize @t81 2)) % 0.36/0.62 (define @t83 () (@quantifiers_skolemize @t81 1)) % 0.36/0.62 (define @t84 () (@quantifiers_skolemize @t81 0)) % 0.36/0.62 (define @t85 () (or @t79 @t78)) % 0.36/0.62 (define @t86 () (not @t72)) % 0.36/0.62 (define @t87 () (tptp.triple @t84 @t83 @t82)) % 0.36/0.62 (define @t88 () (tptp.check_cpq @t87)) % 0.36/0.62 (define @t89 () (@quantifiers_skolemize @t81 3)) % 0.36/0.62 (define @t90 () (tptp.remove_cpq @t87 @t89)) % 0.36/0.62 (define @t91 () (tptp.ok @t90)) % 0.36/0.62 (define @t92 () (not @t91)) % 0.36/0.62 (define @t93 () (tptp.check_cpq @t90)) % 0.36/0.62 (define @t94 () (not @t93)) % 0.36/0.62 (define @t95 () (or @t94 @t92 @t88)) % 0.36/0.62 (define @t96 () (@list true)) % 0.36/0.62 (define @t97 () (@list @t95)) % 0.36/0.62 (define @t98 () (forall @t55 (or (not (tptp.pair_in_list @t83 @t13 @t17)) @t27))) % 0.36/0.62 (define @t99 () (= @t88 @t98)) % 0.36/0.62 (define @t100 () (not @t98)) % 0.36/0.62 (define @t101 () (@list true false)) % 0.36/0.62 (define @t102 () (@quantifiers_skolemize @t98 1)) % 0.36/0.62 (define @t103 () (@quantifiers_skolemize @t98 0)) % 0.36/0.62 (define @t104 () (tptp.pair_in_list @t83 @t103 @t102)) % 0.36/0.62 (define @t105 () (tptp.less_than @t102 @t103)) % 0.36/0.62 (define @t106 () (not @t104)) % 0.36/0.62 (define @t107 () (or @t106 @t105)) % 0.36/0.62 (define @t108 () (@list @t107)) % 0.36/0.62 (define @t109 () (@var "BOUND_VARIABLE_7828" $$unsorted)) % 0.36/0.62 (define @t110 () (tptp.less_than @t109 @t13)) % 0.36/0.62 (define @t111 () (not (tptp.pair_in_list @t3 @t13 @t109))) % 0.36/0.62 (define @t112 () (or @t111 @t110)) % 0.36/0.62 (define @t113 () (or @t79 @t78 @t112)) % 0.36/0.62 (define @t114 () (forall (@list @t2 @t3 @t1 @t13 @t109) @t113)) % 0.36/0.62 (define @t115 () (@list @t109)) % 0.36/0.62 (define @t116 () (forall @t115 @t113)) % 0.36/0.62 (define @t117 () (forall @t115 @t112)) % 0.36/0.62 (define @t118 () (or @t79 @t78 @t117)) % 0.36/0.62 (define @t119 () (forall @t68 (or (not @t53) @t27))) % 0.36/0.62 (define @t120 () (or @t79 @t78 @t119)) % 0.36/0.62 (define @t121 () (@var "BOUND_VARIABLE_7805" $$unsorted)) % 0.36/0.62 (define @t122 () (= @t3 @t121)) % 0.36/0.62 (define @t123 () (tptp.pair_in_list (tptp.remove_slb @t2 @t121) @t3 @t1)) % 0.36/0.62 (define @t124 () (not (tptp.contains_slb @t2 @t121))) % 0.36/0.62 (define @t125 () (not @t65)) % 0.36/0.62 (define @t126 () (or @t125 @t124 @t123 @t122)) % 0.36/0.62 (define @t127 () (or @t124 @t123 @t122)) % 0.36/0.62 (define @t128 () (or @t125 @t127)) % 0.36/0.62 (define @t129 () (@list @t2 @t3 @t1 @t121)) % 0.36/0.62 (define @t130 () (forall @t129 @t128)) % 0.36/0.62 (define @t131 () (@list @t121)) % 0.36/0.62 (define @t132 () (forall @t131 @t128)) % 0.36/0.62 (define @t133 () (forall @t131 @t127)) % 0.36/0.62 (define @t134 () (or @t125 @t133)) % 0.36/0.62 (define @t135 () (not @t62)) % 0.36/0.62 (define @t136 () (or @t135 @t60 @t59)) % 0.36/0.62 (define @t137 () (forall @t63 @t136)) % 0.36/0.62 (define @t138 () (tptp.remove_slb @t83 @t89)) % 0.36/0.62 (define @t139 () (tptp.pair_in_list @t138 @t103 @t102)) % 0.36/0.62 (define @t140 () (tptp.contains_slb @t83 @t89)) % 0.36/0.62 (define @t141 () (not @t140)) % 0.36/0.62 (define @t142 () (or @t106 @t141 @t139 (= @t103 @t89))) % 0.36/0.62 (define @t143 () (forall @t129 @t126)) % 0.36/0.62 (define @t144 () (= @t89 @t103)) % 0.36/0.62 (define @t145 () (or @t106 @t141 @t139 @t144)) % 0.36/0.62 (define @t146 () (@list false)) % 0.36/0.62 (define @t147 () (tptp.remove_pqp @t84 @t89)) % 0.36/0.62 (define @t148 () (not @t38)) % 0.36/0.62 (define @t149 () (@list @t84 @t83 @t82 @t89)) % 0.36/0.62 (define @t150 () (tptp.lookup_slb @t83 @t89)) % 0.36/0.62 (define @t151 () (tptp.less_than @t89 @t150)) % 0.36/0.62 (define @t152 () (tptp.less_than @t150 @t89)) % 0.36/0.62 (define @t153 () (or @t152 @t151)) % 0.36/0.62 (define @t154 () (not @t42)) % 0.36/0.62 (define @t155 () (tptp.triple @t147 @t138 tptp.bad)) % 0.36/0.62 (define @t156 () (tptp.ok @t155)) % 0.36/0.62 (define @t157 () (= @t90 @t155)) % 0.36/0.62 (define @t158 () (not @t157)) % 0.36/0.62 (define @t159 () (not @t156)) % 0.36/0.62 (define @t160 () (= false true)) % 0.36/0.62 (define @t161 () (or @t92 @t140)) % 0.36/0.62 (define @t162 () (@list false false)) % 0.36/0.62 (define @t163 () (tptp.strictly_less_than @t89 @t150)) % 0.36/0.62 (define @t164 () (not @t163)) % 0.36/0.62 (define @t165 () (or @t141 @t164 @t157)) % 0.36/0.62 (define @t166 () (not @t152)) % 0.36/0.62 (define @t167 () (and @t151 @t166)) % 0.36/0.62 (define @t168 () (= @t163 @t167)) % 0.36/0.62 (define @t169 () (not @t167)) % 0.36/0.62 (define @t170 () (not @t151)) % 0.36/0.62 (define @t171 () (tptp.triple @t147 @t138 @t82)) % 0.36/0.62 (define @t172 () (= @t90 @t171)) % 0.36/0.62 (define @t173 () (or @t141 @t166 @t172)) % 0.36/0.62 (define @t174 () (tptp.check_cpq @t171)) % 0.36/0.62 (define @t175 () (not @t172)) % 0.36/0.62 (define @t176 () (not @t174)) % 0.36/0.62 (define @t177 () (forall @t55 (or (not (tptp.pair_in_list @t138 @t13 @t17)) @t27))) % 0.36/0.62 (define @t178 () (= @t174 @t177)) % 0.36/0.62 (define @t179 () (not @t139)) % 0.36/0.62 (define @t180 () (or @t179 @t105)) % 0.36/0.62 (define @t181 () (tptp.remove_cpq @t87 @t103)) % 0.36/0.62 (define @t182 () (tptp.check_cpq @t181)) % 0.36/0.62 (define @t183 () (and @t93 @t144)) % 0.36/0.62 (define @t184 () (tptp.ok @t181)) % 0.36/0.62 (define @t185 () (and @t91 @t144)) % 0.36/0.62 (define @t186 () (not @t184)) % 0.36/0.62 (define @t187 () (not @t182)) % 0.36/0.62 (define @t188 () (or @t187 @t186 @t106 @t105)) % 0.36/0.62 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.36/0.62 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.36/0.62 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.36/0.62 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.36/0.62 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.36/0.62 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.36/0.62 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.36/0.62 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.36/0.62 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.36/0.62 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.36/0.62 (assume @p11 (forall @t18 (= (tptp.pair_in_list @t15 @t1 @t17) (or (tptp.pair_in_list @t2 @t1 @t17) (and @t11 (= @t13 @t17)))))) % 0.36/0.62 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.36/0.62 (assume @p13 (forall @t16 (=> @t19 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.36/0.62 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.36/0.62 (assume @p15 (forall @t16 (=> @t19 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.36/0.62 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.36/0.62 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t21 (tptp.insert_slb @t20 @t9))))) % 0.36/0.62 (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t21 (tptp.insert_slb @t20 @t14))))) % 0.36/0.62 (assume @p19 (forall @t8 (tptp.succ_cpq @t2 @t2))) % 0.36/0.62 (assume @p20 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1))))) % 0.36/0.62 (assume @p21 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1))))) % 0.36/0.62 (assume @p22 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3))))) % 0.36/0.62 (assume @p23 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3))))) % 0.36/0.62 (assume @p24 (forall @t7 (tptp.check_cpq @t23))) % 0.36/0.62 (assume @p25 (forall @t18 (=> @t27 (= @t26 @t25)))) % 0.36/0.62 (assume @p26 (forall @t18 (=> (tptp.strictly_less_than @t13 @t17) (= @t26 false)))) % 0.36/0.62 (assume @p27 (forall @t16 (= (tptp.contains_cpq @t24 @t13) @t28))) % 0.36/0.62 (assume @p28 @t31) % 0.36/0.62 (assume @p29 (forall @t5 (=> (not (tptp.ok @t24)) (= @t1 tptp.bad)))) % 0.36/0.62 (assume @p30 (forall @t16 (= (tptp.insert_cpq @t24 @t13) (tptp.triple (tptp.insert_pqp @t2 @t13) (tptp.insert_slb @t3 (tptp.pair @t13 tptp.bottom)) @t1)))) % 0.36/0.62 (assume @p31 (forall @t16 (=> @t33 (= @t32 @t29)))) % 0.36/0.62 (assume @p32 @t40) % 0.36/0.62 (assume @p33 @t44) % 0.36/0.62 (assume @p34 (forall @t7 (= (tptp.findmin_cpq_eff @t23) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 0.36/0.62 (assume @p35 (forall @t16 (=> (and @t50 (not @t49)) @t48))) % 0.36/0.62 (assume @p36 (forall @t16 (=> (and @t50 @t49 (tptp.strictly_less_than @t45 @t51)) @t48))) % 0.36/0.62 (assume @p37 (forall @t16 (=> (and @t50 @t49 (tptp.less_than @t51 @t45)) (= @t47 (tptp.triple @t2 @t46 @t1))))) % 0.36/0.62 (assume @p38 (forall @t7 (= 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0.36/0.62 (step @p237 :rule refl :args (@t94)) % 0.36/0.62 (step @p238 :rule nary_cong :premises (@p237 @p236 @p235) :args ((or @t94 @t175 (not @t176)))) % 0.36/0.62 (assume-push @p325 @t93) % 0.36/0.62 (assume-push @p326 @t172) % 0.36/0.62 (assume-push @p327 @t176) % 0.36/0.62 (step @p190 :rule evaluate :args (@t160)) % 0.36/0.62 (step @p242 :rule true_intro :premises (@p234)) % 0.36/0.62 (step @p243 :rule symm :premises (@p326)) % 0.36/0.62 (step @p244 :rule cong :premises (@p243) :args (@t174)) % 0.36/0.62 (step @p245 :rule false_intro :premises (@p327)) % 0.36/0.62 (step @p246 :rule symm :premises (@p245)) % 0.36/0.62 (step @p247 :rule trans :premises (@p246 @p244 @p242)) % 0.36/0.62 (step @p248 false :rule eq_resolve :premises (@p247 @p190)) % 0.36/0.62 (step-pop @p328 :rule scope :premises (@p248)) % 0.36/0.62 (step-pop @p329 :rule scope :premises (@p328)) % 0.36/0.62 (step-pop @p330 :rule scope :premises (@p329)) % 0.36/0.62 (step @p249 :rule process_scope :premises (@p330) :args (false)) % 0.36/0.62 (step @p253 :rule not_and :premises (@p249)) % 0.36/0.62 (step @p254 :rule eq_resolve :premises (@p253 @p238)) % 0.36/0.62 (step @p255 :rule chain_m_resolution :premises (@p254 @p234 @p228) :args (@t174 @t162 (@list @t93 @t172))) % 0.36/0.62 (step @p256 :rule cnf_equiv_pos1 :args (@t178)) % 0.36/0.62 (step @p257 :rule reordering :premises (@p256) :args ((or @t177 @t176 (not @t178)))) % 0.36/0.62 (step @p258 :rule chain_m_resolution :premises (@p257 @p255 @p147) :args (@t177 @t162 (@list @t174 @t178))) % 0.36/0.62 (assume-push @p331 @t177) % 0.36/0.62 (step @p260 :rule instantiate :premises (@p331) :args ((@list @t103 @t102))) % 0.36/0.62 (step-pop @p332 :rule scope :premises (@p260)) % 0.36/0.62 (step @p261 :rule process_scope :premises (@p332) :args (@t180)) % 0.36/0.62 (step @p263 :rule implies_elim :premises (@p261)) % 0.36/0.62 (step @p264 :rule chain_m_resolution :premises (@p263 @p258) :args (@t180 @t146 (@list @t177))) % 0.36/0.62 (step @p265 :rule cnf_or_pos :args (@t180)) % 0.36/0.62 (step @p266 :rule reordering :premises (@p265) :args ((or @t105 @t179 (not @t180)))) % 0.36/0.62 (step @p267 :rule chain_m_resolution :premises (@p266 @p80 @p264) :args (@t179 @t101 (@list @t105 @t180))) % 0.36/0.62 (step @p268 :rule cnf_or_pos :args (@t145)) % 0.36/0.62 (step @p269 :rule reordering :premises (@p268) :args ((or @t141 @t106 @t139 @t144 (not @t145)))) % 0.36/0.62 (step @p270 :rule chain_m_resolution :premises (@p269 @p211 @p78 @p267 @p146) :args (@t144 (@list false false true false) (@list @t140 @t104 @t139 @t145))) % 0.36/0.62 (assume-push @p333 @t93) % 0.36/0.62 (assume-push @p334 @t144) % 0.36/0.62 (assume-push @p335 @t93) % 0.36/0.62 (assume-push @p336 @t144) % 0.36/0.62 (step @p242 :rule true_intro :premises (@p234)) % 0.36/0.62 (step @p275 :rule symm :premises (@p334)) % 0.36/0.62 (step @p276 :rule refl :args (@t87)) % 0.36/0.62 (step @p277 :rule cong :premises (@p276 @p275) :args (@t181)) % 0.36/0.62 (step @p278 :rule cong :premises (@p277) :args (@t182)) % 0.36/0.62 (step @p279 :rule trans :premises (@p278 @p242)) % 0.36/0.62 (step @p280 :rule true_elim :premises (@p279)) % 0.36/0.62 (step-pop @p337 :rule scope :premises (@p280)) % 0.36/0.62 (step-pop @p338 :rule scope :premises (@p337)) % 0.36/0.62 (step @p281 :rule process_scope :premises (@p338) :args (@t182)) % 0.36/0.62 (step @p284 :rule and_intro :premises (@p234 @p334)) % 0.36/0.62 (step @p285 :rule modus_ponens :premises (@p284 @p281)) % 0.36/0.62 (step-pop @p339 :rule scope :premises (@p285)) % 0.36/0.62 (step-pop @p340 :rule scope :premises (@p339)) % 0.36/0.62 (step @p286 :rule process_scope :premises (@p340) :args (@t182)) % 0.36/0.62 (step @p289 :rule implies_elim :premises (@p286)) % 0.36/0.62 (step @p290 :rule cnf_and_neg :args (@t183)) % 0.36/0.62 (step @p291 :rule resolution :premises (@p290 @p289) :args (true @t183)) % 0.36/0.62 (step @p292 :rule chain_m_resolution :premises (@p291 @p234 @p270) :args (@t182 @t162 (@list @t93 @t144))) % 0.36/0.62 (assume-push @p341 @t91) % 0.36/0.62 (assume-push @p342 @t144) % 0.36/0.62 (assume-push @p343 @t91) % 0.36/0.62 (assume-push @p344 @t144) % 0.36/0.62 (step @p191 :rule true_intro :premises (@p182)) % 0.36/0.62 (step @p297 :rule symm :premises (@p342)) % 0.36/0.62 (step @p276 :rule refl :args (@t87)) % 0.36/0.62 (step @p298 :rule cong :premises (@p276 @p297) :args (@t181)) % 0.36/0.62 (step @p299 :rule cong :premises (@p298) :args (@t184)) % 0.36/0.62 (step @p300 :rule trans :premises (@p299 @p191)) % 0.36/0.62 (step @p301 :rule true_elim :premises (@p300)) % 0.36/0.62 (step-pop @p345 :rule scope :premises (@p301)) % 0.36/0.62 (step-pop @p346 :rule scope :premises (@p345)) % 0.36/0.62 (step @p302 :rule process_scope :premises (@p346) :args (@t184)) % 0.36/0.62 (step @p305 :rule and_intro :premises (@p182 @p342)) % 0.36/0.62 (step @p306 :rule modus_ponens :premises (@p305 @p302)) % 0.36/0.62 (step-pop @p347 :rule scope :premises (@p306)) % 0.36/0.62 (step-pop @p348 :rule scope :premises (@p347)) % 0.36/0.62 (step @p307 :rule process_scope :premises (@p348) :args (@t184)) % 0.36/0.62 (step @p310 :rule implies_elim :premises (@p307)) % 0.36/0.62 (step @p311 :rule cnf_and_neg :args (@t185)) % 0.36/0.62 (step @p312 :rule resolution :premises (@p311 @p310) :args (true @t185)) % 0.36/0.62 (step @p313 :rule chain_m_resolution :premises (@p312 @p182 @p270) :args (@t184 @t162 (@list @t91 @t144))) % 0.36/0.62 (step @p314 :rule cnf_or_pos :args (@t188)) % 0.36/0.62 (step @p315 :rule reordering :premises (@p314) :args ((or @t106 @t105 @t187 @t186 (not @t188)))) % 0.36/0.62 (step @p316 false :rule chain_m_resolution :premises (@p315 @p313 @p292 @p108 @p80 @p78) :args (false (@list false false false true false) (@list @t184 @t182 @t188 @t105 @t104))) % 0.33/0.63 ) % 0.33/0.63 % SZS output end Proof % 0.33/0.63 % cvc5 exiting %------------------------------------------------------------------------------