%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV374+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 : n016.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 09:01:18 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV374+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n016.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 20:06:39 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.bottom $$unsorted) % 0.37/0.62 (declare-const tptp.create_slb $$unsorted) % 0.37/0.62 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.ok (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.bad $$unsorted) % 0.37/0.62 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (define @t1 () (@var "W" $$unsorted)) % 0.37/0.62 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.62 (define @t3 () (@var "V" $$unsorted)) % 0.37/0.62 (define @t4 () (tptp.less_than @t2 @t3)) % 0.37/0.62 (define @t5 () (@list @t2 @t3 @t1)) % 0.37/0.62 (define @t6 () (tptp.less_than @t3 @t2)) % 0.37/0.62 (define @t7 () (@list @t2 @t3)) % 0.37/0.62 (define @t8 () (@list @t2)) % 0.37/0.62 (define @t9 () (tptp.pair @t3 @t1)) % 0.37/0.62 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.37/0.62 (define @t11 () (= @t3 @t1)) % 0.37/0.62 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.37/0.62 (define @t13 () (@var "X" $$unsorted)) % 0.37/0.62 (define @t14 () (tptp.pair @t3 @t13)) % 0.37/0.62 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.37/0.62 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.37/0.62 (define @t17 () (@var "Y" $$unsorted)) % 0.37/0.62 (define @t18 () (@list @t2 @t3 @t1 @t13 @t17)) % 0.37/0.62 (define @t19 () (and (not @t11) @t12)) % 0.37/0.62 (define @t20 () (tptp.update_slb tptp.create_slb @t2)) % 0.37/0.62 (define @t21 () (forall @t8 (= @t20 tptp.create_slb))) % 0.37/0.62 (define @t22 () (tptp.update_slb @t2 @t1)) % 0.37/0.62 (define @t23 () (tptp.update_slb @t15 @t1)) % 0.37/0.62 (define @t24 () (tptp.succ_cpq @t2 @t3)) % 0.37/0.62 (define @t25 () (tptp.triple @t2 tptp.create_slb @t3)) % 0.37/0.62 (define @t26 () (tptp.triple @t2 @t3 @t1)) % 0.37/0.62 (define @t27 () (tptp.check_cpq (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t13 @t17)) @t1))) % 0.37/0.62 (define @t28 () (tptp.contains_slb @t3 @t13)) % 0.37/0.62 (define @t29 () (tptp.triple @t2 @t3 tptp.bad)) % 0.37/0.62 (define @t30 () (tptp.ok @t29)) % 0.37/0.62 (define @t31 () (forall @t7 (= @t30 false))) % 0.37/0.62 (define @t32 () (tptp.remove_cpq @t26 @t13)) % 0.37/0.62 (define @t33 () (tptp.remove_slb @t3 @t13)) % 0.37/0.62 (define @t34 () (tptp.remove_pqp @t2 @t13)) % 0.37/0.62 (define @t35 () (tptp.lookup_slb @t3 @t13)) % 0.37/0.62 (define @t36 () (tptp.findmin_pqp_res @t2)) % 0.37/0.62 (define @t37 () (tptp.update_slb @t3 @t36)) % 0.37/0.62 (define @t38 () (tptp.findmin_cpq_eff @t26)) % 0.37/0.62 (define @t39 () (= @t38 (tptp.triple @t2 @t37 tptp.bad))) % 0.37/0.62 (define @t40 () (tptp.contains_slb @t3 @t36)) % 0.37/0.62 (define @t41 () (not @t40)) % 0.37/0.62 (define @t42 () (= @t3 tptp.create_slb)) % 0.37/0.62 (define @t43 () (not @t42)) % 0.37/0.62 (define @t44 () (and @t43 @t41)) % 0.37/0.62 (define @t45 () (forall @t16 (=> @t44 @t39))) % 0.37/0.62 (define @t46 () (tptp.lookup_slb @t3 @t36)) % 0.37/0.62 (define @t47 () (tptp.strictly_less_than @t36 @t46)) % 0.37/0.62 (define @t48 () (and @t43 @t40 @t47)) % 0.37/0.62 (define @t49 () (forall @t16 (=> @t48 @t39))) % 0.37/0.62 (define @t50 () (tptp.less_than @t46 @t36)) % 0.37/0.62 (define @t51 () (and @t43 @t40 @t50)) % 0.37/0.62 (define @t52 () (tptp.findmin_cpq_res @t2)) % 0.37/0.62 (define @t53 () (tptp.ok @t38)) % 0.37/0.62 (define @t54 () (forall @t5 (=> @t53 @t51))) % 0.37/0.62 (define @t55 () (not @t54)) % 0.37/0.62 (define @t56 () (@var "BOUND_VARIABLE_7810" $$unsorted)) % 0.37/0.62 (define @t57 () (@var "BOUND_VARIABLE_7808" $$unsorted)) % 0.37/0.62 (define @t58 () (@var "BOUND_VARIABLE_7806" $$unsorted)) % 0.37/0.62 (define @t59 () (tptp.findmin_pqp_res @t58)) % 0.37/0.62 (define @t60 () (forall (@list @t58 @t57 @t56) (or (tptp.less_than (tptp.lookup_slb @t57 @t59) @t59) (not (tptp.ok (tptp.findmin_cpq_eff (tptp.triple @t58 @t57 @t56))))))) % 0.37/0.62 (define @t61 () (@quantifiers_skolemize @t60 0)) % 0.37/0.62 (define @t62 () (tptp.findmin_pqp_res @t61)) % 0.37/0.62 (define @t63 () (@quantifiers_skolemize @t60 1)) % 0.37/0.62 (define @t64 () (tptp.update_slb @t63 @t62)) % 0.37/0.62 (define @t65 () (@var "BOUND_VARIABLE_7795" $$unsorted)) % 0.37/0.62 (define @t66 () (@var "BOUND_VARIABLE_7793" $$unsorted)) % 0.37/0.62 (define @t67 () (@var "BOUND_VARIABLE_7791" $$unsorted)) % 0.37/0.62 (define @t68 () (forall (@list @t67 @t66 @t65) (or (tptp.contains_slb @t66 (tptp.findmin_pqp_res @t67)) (not (tptp.ok (tptp.findmin_cpq_eff (tptp.triple @t67 @t66 @t65))))))) % 0.37/0.62 (define @t69 () (@quantifiers_skolemize @t68 2)) % 0.37/0.62 (define @t70 () (@quantifiers_skolemize @t68 1)) % 0.37/0.62 (define @t71 () (@quantifiers_skolemize @t68 0)) % 0.37/0.62 (define @t72 () (tptp.findmin_cpq_eff (tptp.triple @t71 @t70 @t69))) % 0.37/0.62 (define @t73 () (tptp.ok @t72)) % 0.37/0.62 (define @t74 () (not @t73)) % 0.37/0.62 (define @t75 () (tptp.findmin_pqp_res @t71)) % 0.37/0.62 (define @t76 () (tptp.contains_slb @t70 @t75)) % 0.37/0.62 (define @t77 () (or @t76 @t74)) % 0.37/0.62 (define @t78 () (tptp.update_slb @t70 @t75)) % 0.37/0.62 (define @t79 () (tptp.triple @t71 tptp.create_slb @t69)) % 0.37/0.62 (define @t80 () (tptp.findmin_cpq_eff @t79)) % 0.37/0.62 (define @t81 () (= @t80 (tptp.triple @t71 tptp.create_slb tptp.bad))) % 0.37/0.62 (define @t82 () (not @t81)) % 0.37/0.62 (define @t83 () (tptp.triple @t71 @t78 tptp.bad)) % 0.37/0.62 (define @t84 () (tptp.ok @t83)) % 0.37/0.62 (define @t85 () (= tptp.create_slb (tptp.update_slb tptp.create_slb @t75))) % 0.37/0.62 (define @t86 () (not @t85)) % 0.37/0.62 (define @t87 () (= tptp.create_slb @t70)) % 0.37/0.62 (define @t88 () (not @t87)) % 0.37/0.62 (define @t89 () (not @t84)) % 0.37/0.62 (define @t90 () (not @t89)) % 0.37/0.62 (define @t91 () (= false true)) % 0.37/0.62 (define @t92 () (and @t73 @t87 @t81 @t85 @t89)) % 0.37/0.62 (define @t93 () (or @t42 @t40 @t39)) % 0.37/0.62 (define @t94 () (forall @t5 @t93)) % 0.37/0.62 (define @t95 () (not @t43)) % 0.37/0.62 (define @t96 () (= @t72 @t83)) % 0.37/0.62 (define @t97 () (or (= @t70 tptp.create_slb) @t76 @t96)) % 0.37/0.62 (define @t98 () (or @t87 @t76 @t96)) % 0.37/0.62 (define @t99 () (@list false)) % 0.37/0.62 (define @t100 () (@list @t94)) % 0.37/0.62 (define @t101 () (not @t96)) % 0.37/0.62 (define @t102 () (not @t77)) % 0.37/0.62 (define @t103 () (not @t68)) % 0.37/0.62 (define @t104 () (@var "BOUND_VARIABLE_7780" $$unsorted)) % 0.37/0.62 (define @t105 () (@var "BOUND_VARIABLE_7776" $$unsorted)) % 0.37/0.62 (define @t106 () (not (tptp.ok (tptp.findmin_cpq_eff (tptp.triple @t105 tptp.create_slb @t104))))) % 0.37/0.62 (define @t107 () (@list @t105 @t104)) % 0.37/0.62 (define @t108 () (forall @t107 @t106)) % 0.37/0.62 (define @t109 () (@quantifiers_skolemize @t108 0)) % 0.37/0.62 (define @t110 () (@quantifiers_skolemize @t108 1)) % 0.37/0.62 (define @t111 () (tptp.ok (tptp.findmin_cpq_eff (tptp.triple @t109 tptp.create_slb @t110)))) % 0.37/0.62 (define @t112 () (not @t108)) % 0.37/0.62 (define @t113 () (not (not @t111))) % 0.37/0.62 (define @t114 () (@list true)) % 0.37/0.62 (define @t115 () (not (= tptp.create_slb tptp.create_slb))) % 0.37/0.62 (define @t116 () (or @t115 @t106)) % 0.37/0.62 (define @t117 () (@var "BOUND_VARIABLE_7778" $$unsorted)) % 0.37/0.62 (define @t118 () (not (tptp.ok (tptp.findmin_cpq_eff (tptp.triple @t105 @t117 @t104))))) % 0.37/0.62 (define @t119 () (not (= tptp.create_slb @t117))) % 0.37/0.62 (define @t120 () (not (= @t117 tptp.create_slb))) % 0.37/0.62 (define @t121 () (@list @t117)) % 0.37/0.62 (define @t122 () (or @t119 @t119 @t118)) % 0.37/0.62 (define @t123 () (or @t119 @t118)) % 0.37/0.62 (define @t124 () (forall @t121 @t123)) % 0.37/0.62 (define @t125 () (forall @t107 @t124)) % 0.37/0.62 (define @t126 () (forall (@list @t105 @t104 @t117) @t123)) % 0.37/0.62 (define @t127 () (@list @t105 @t117 @t104)) % 0.37/0.62 (define @t128 () (or @t120 @t118)) % 0.37/0.62 (define @t129 () (forall @t127 @t128)) % 0.37/0.62 (define @t130 () (not @t53)) % 0.37/0.62 (define @t131 () (or @t50 @t130)) % 0.37/0.62 (define @t132 () (forall @t5 @t131)) % 0.37/0.62 (define @t133 () (@list @t2 @t3 @t1)) % 0.37/0.62 (define @t134 () (or @t40 @t130)) % 0.37/0.62 (define @t135 () (forall @t5 @t134)) % 0.37/0.62 (define @t136 () (or @t43 @t130)) % 0.37/0.62 (define @t137 () (forall @t5 @t136)) % 0.37/0.62 (define @t138 () (and @t137 @t135 @t132)) % 0.37/0.62 (define @t139 () (and @t136 @t134 @t131)) % 0.37/0.62 (define @t140 () (or @t51 @t130)) % 0.37/0.62 (define @t141 () (or @t130 @t51)) % 0.37/0.62 (define @t142 () (not @t60)) % 0.37/0.62 (define @t143 () (@list false false)) % 0.37/0.62 (define @t144 () (@quantifiers_skolemize @t60 2)) % 0.37/0.62 (define @t145 () (tptp.triple @t61 @t63 @t144)) % 0.37/0.62 (define @t146 () (tptp.findmin_cpq_eff @t145)) % 0.37/0.62 (define @t147 () (tptp.ok @t146)) % 0.37/0.62 (define @t148 () (not @t147)) % 0.37/0.62 (define @t149 () (tptp.lookup_slb @t63 @t62)) % 0.37/0.62 (define @t150 () (tptp.less_than @t149 @t62)) % 0.37/0.62 (define @t151 () (or @t150 @t148)) % 0.37/0.62 (define @t152 () (not @t151)) % 0.37/0.62 (define @t153 () (@list @t151)) % 0.37/0.62 (define @t154 () (= tptp.create_slb @t63)) % 0.37/0.62 (define @t155 () (tptp.update_slb tptp.create_slb @t62)) % 0.37/0.62 (define @t156 () (= tptp.create_slb @t155)) % 0.37/0.62 (define @t157 () (tptp.triple @t61 tptp.create_slb tptp.bad)) % 0.37/0.62 (define @t158 () (= (tptp.findmin_cpq_eff (tptp.triple @t61 tptp.create_slb @t144)) @t157)) % 0.37/0.62 (define @t159 () (tptp.triple @t61 @t64 tptp.bad)) % 0.37/0.62 (define @t160 () (= @t146 @t159)) % 0.37/0.62 (define @t161 () (and @t154 @t156 @t158)) % 0.37/0.62 (define @t162 () (tptp.contains_slb @t63 @t62)) % 0.37/0.62 (define @t163 () (= @t63 tptp.create_slb)) % 0.37/0.62 (define @t164 () (or @t163 @t162 @t160)) % 0.37/0.62 (define @t165 () (@list @t61 @t63 @t144)) % 0.37/0.62 (define @t166 () (or @t154 @t162 @t160)) % 0.37/0.62 (define @t167 () (not @t47)) % 0.37/0.62 (define @t168 () (or @t42 @t41 @t167 @t39)) % 0.37/0.62 (define @t169 () (forall @t5 @t168)) % 0.37/0.62 (define @t170 () (or @t95 @t41 @t167)) % 0.37/0.62 (define @t171 () (tptp.strictly_less_than @t62 @t149)) % 0.37/0.62 (define @t172 () (not @t171)) % 0.37/0.62 (define @t173 () (not @t162)) % 0.37/0.62 (define @t174 () (or @t163 @t173 @t172 @t160)) % 0.37/0.62 (define @t175 () (or @t154 @t173 @t172 @t160)) % 0.37/0.62 (define @t176 () (not @t150)) % 0.37/0.62 (define @t177 () (tptp.less_than @t62 @t149)) % 0.37/0.62 (define @t178 () (or @t150 @t177)) % 0.37/0.62 (define @t179 () (@list true false)) % 0.37/0.62 (define @t180 () (not @t177)) % 0.37/0.62 (define @t181 () (and @t177 @t176)) % 0.37/0.62 (define @t182 () (= @t171 @t181)) % 0.37/0.62 (define @t183 () (tptp.ok @t159)) % 0.37/0.62 (define @t184 () (not @t160)) % 0.37/0.62 (define @t185 () (not @t183)) % 0.37/0.62 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.37/0.62 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.37/0.62 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.37/0.62 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.37/0.62 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.37/0.62 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.37/0.62 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.37/0.62 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.37/0.62 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.37/0.62 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.37/0.62 (assume @p11 (forall @t18 (= (tptp.pair_in_list @t15 @t1 @t17) (or (tptp.pair_in_list @t2 @t1 @t17) (and @t11 (= @t13 @t17)))))) % 0.37/0.62 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.37/0.62 (assume @p13 (forall @t16 (=> @t19 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.37/0.62 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.37/0.62 (assume @p15 (forall @t16 (=> @t19 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.37/0.62 (assume @p16 @t21) % 0.37/0.62 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t23 (tptp.insert_slb @t22 @t9))))) % 0.37/0.62 (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t23 (tptp.insert_slb @t22 @t14))))) % 0.37/0.62 (assume @p19 (forall @t8 (tptp.succ_cpq @t2 @t2))) % 0.37/0.62 (assume @p20 (forall @t5 (=> @t24 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1))))) % 0.37/0.62 (assume @p21 (forall @t5 (=> @t24 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1))))) % 0.37/0.62 (assume @p22 (forall @t7 (=> @t24 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3))))) % 0.37/0.62 (assume @p23 (forall @t7 (=> @t24 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3))))) % 0.37/0.62 (assume @p24 (forall @t7 (tptp.check_cpq @t25))) % 0.37/0.62 (assume @p25 (forall @t18 (=> (tptp.less_than @t17 @t13) (= @t27 (tptp.check_cpq @t26))))) % 0.37/0.62 (assume @p26 (forall @t18 (=> (tptp.strictly_less_than @t13 @t17) (= @t27 false)))) % 0.37/0.62 (assume @p27 (forall @t16 (= (tptp.contains_cpq @t26 @t13) @t28))) % 0.37/0.62 (assume @p28 @t31) % 0.37/0.62 (assume @p29 (forall @t5 (=> (not (tptp.ok @t26)) (= @t1 tptp.bad)))) % 0.37/0.62 (assume @p30 (forall @t16 (= (tptp.insert_cpq @t26 @t13) (tptp.triple (tptp.insert_pqp @t2 @t13) (tptp.insert_slb @t3 (tptp.pair @t13 tptp.bottom)) @t1)))) % 0.37/0.62 (assume @p31 (forall @t16 (=> (not @t28) (= @t32 @t29)))) % 0.37/0.62 (assume @p32 (forall @t16 (=> (and @t28 (tptp.less_than @t35 @t13)) (= @t32 (tptp.triple @t34 @t33 @t1))))) % 0.37/0.62 (assume @p33 (forall @t16 (=> (and @t28 (tptp.strictly_less_than @t13 @t35)) (= @t32 (tptp.triple @t34 @t33 tptp.bad))))) % 0.37/0.62 (assume @p34 (forall @t7 (= (tptp.findmin_cpq_eff @t25) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 0.37/0.62 (assume @p35 @t45) % 0.37/0.62 (assume @p36 @t49) % 0.37/0.62 (assume @p37 (forall @t16 (=> @t51 (= @t38 (tptp.triple @t2 @t37 @t1))))) % 0.37/0.62 (assume @p38 (forall @t7 (= (tptp.findmin_cpq_res @t25) tptp.bottom))) % 0.37/0.62 (assume @p39 (forall @t16 (=> @t43 (= (tptp.findmin_cpq_res @t26) @t36)))) % 0.37/0.62 (assume @p40 (forall @t8 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t52)))) % 0.37/0.62 (assume @p41 (forall @t8 (= (tptp.removemin_cpq_res @t2) @t52))) % 0.37/0.62 (assume @p42 @t55) % 0.37/0.62 (assume @p43 true) % 0.37/0.62 (step @p44 :rule bool-eq-false :args (@t30)) % 0.37/0.62 (step @p45 :rule cong :premises (@p44) :args (@t31)) % 0.37/0.62 (step @p46 :rule eq_resolve :premises (@p28 @p45)) % 0.37/0.62 (step @p47 :rule instantiate :premises (@p46) :args ((@list @t61 @t64))) % 0.37/0.62 (step @p48 :rule cnf_or_neg :args (@t77 0)) % 0.37/0.62 (step @p49 :rule bool-double-not-elim :args (@t73)) % 0.37/0.62 (step @p50 :rule refl :args (@t77)) % 0.37/0.62 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t77 (not @t74)))) % 0.37/0.62 (step @p52 :rule cnf_or_neg :args (@t77 1)) % 0.37/0.62 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.37/0.62 (step @p54 :rule reordering :premises (@p53) :args ((or @t73 @t77))) % 0.37/0.62 (step @p55 :rule eq-symm :args (@t20 tptp.create_slb)) % 0.37/0.62 (step @p56 :rule cong :premises (@p55) :args (@t21)) % 0.37/0.62 (step @p57 :rule eq_resolve :premises (@p16 @p56)) % 0.37/0.62 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t75))) % 0.37/0.62 (step @p59 :rule instantiate :premises (@p46) :args ((@list @t71 @t78))) % 0.37/0.62 (step @p60 :rule instantiate :premises (@p34) :args ((@list @t71 @t69))) % 0.37/0.62 (step @p61 :rule refl :args (@t82)) % 0.37/0.62 (step @p62 :rule bool-double-not-elim :args (@t84)) % 0.37/0.62 (step @p63 :rule refl :args (@t86)) % 0.37/0.62 (step @p64 :rule refl :args (@t88)) % 0.37/0.62 (step @p65 :rule refl :args (@t74)) % 0.37/0.62 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63 @p62 @p61) :args ((or @t74 @t88 @t86 @t90 @t82))) % 0.37/0.62 (assume-push @p389 @t73) % 0.37/0.62 (assume-push @p390 @t87) % 0.37/0.62 (assume-push @p391 @t81) % 0.37/0.62 (assume-push @p392 @t85) % 0.37/0.62 (assume-push @p393 @t89) % 0.37/0.62 (step @p72 :rule evaluate :args (@t91)) % 0.37/0.62 (step @p73 :rule true_intro :premises (@p389)) % 0.37/0.62 (step @p74 :rule refl :args (@t69)) % 0.37/0.62 (step @p75 :rule refl :args (@t71)) % 0.37/0.62 (step @p76 :rule cong :premises (@p75 @p390 @p74) :args (@t79)) % 0.37/0.62 (step @p77 :rule cong :premises (@p76) :args (@t80)) % 0.37/0.62 (step @p78 :rule symm :premises (@p60)) % 0.37/0.62 (step @p79 :rule refl :args (tptp.bad)) % 0.37/0.62 (step @p80 :rule symm :premises (@p58)) % 0.37/0.62 (step @p81 :rule refl :args (@t75)) % 0.37/0.62 (step @p82 :rule symm :premises (@p390)) % 0.37/0.62 (step @p83 :rule cong :premises (@p82 @p81) :args (@t78)) % 0.37/0.62 (step @p84 :rule trans :premises (@p83 @p80)) % 0.37/0.62 (step @p85 :rule cong :premises (@p75 @p84 @p79) :args (@t83)) % 0.37/0.62 (step @p86 :rule trans :premises (@p85 @p78 @p77)) % 0.37/0.62 (step @p87 :rule cong :premises (@p86) :args (@t84)) % 0.37/0.62 (step @p88 :rule false_intro :premises (@p59)) % 0.37/0.62 (step @p89 :rule symm :premises (@p88)) % 0.37/0.62 (step @p90 :rule trans :premises (@p89 @p87 @p73)) % 0.37/0.62 (step @p91 false :rule eq_resolve :premises (@p90 @p72)) % 0.37/0.62 (step-pop @p394 :rule scope :premises (@p91)) % 0.37/0.62 (step-pop @p395 :rule scope :premises (@p394)) % 0.37/0.62 (step-pop @p396 :rule scope :premises (@p395)) % 0.37/0.62 (step-pop @p397 :rule scope :premises (@p396)) % 0.37/0.62 (step-pop @p398 :rule scope :premises (@p397)) % 0.37/0.62 (step @p92 :rule process_scope :premises (@p398) :args (false)) % 0.37/0.62 (assume-push @p399 @t73) % 0.37/0.62 (assume-push @p400 @t87) % 0.37/0.62 (assume-push @p401 @t85) % 0.37/0.62 (assume-push @p402 @t89) % 0.37/0.62 (assume-push @p403 @t81) % 0.37/0.62 (step @p103 :rule and_intro :premises (@p399 @p400 @p60 @p58 @p59)) % 0.37/0.62 (step-pop @p404 :rule scope :premises (@p103)) % 0.37/0.62 (step-pop @p405 :rule scope :premises (@p404)) % 0.37/0.62 (step-pop @p406 :rule scope :premises (@p405)) % 0.37/0.62 (step-pop @p407 :rule scope :premises (@p406)) % 0.37/0.62 (step-pop @p408 :rule scope :premises (@p407)) % 0.37/0.62 (step @p104 :rule process_scope :premises (@p408) :args (@t92)) % 0.37/0.62 (step @p110 :rule implies_elim :premises (@p104)) % 0.37/0.62 (step @p111 :rule resolution :premises (@p110 @p92) :args (true @t92)) % 0.37/0.62 (step @p112 :rule not_and :premises (@p111)) % 0.37/0.62 (step @p113 :rule eq_resolve :premises (@p112 @p66)) % 0.37/0.62 (step @p114 :rule reordering :premises (@p113) :args ((or @t74 @t88 @t84 @t86 @t82))) % 0.37/0.62 (step @p115 :rule quant-unused-vars :args ((= (forall @t16 @t93) @t94))) % 0.37/0.62 (step @p116 :rule aci_norm :args ((= (or (or @t42 @t40) @t39) @t93))) % 0.37/0.62 (step @p117 :rule refl :args (@t39)) % 0.37/0.62 (step @p118 :rule bool-double-not-elim :args (@t40)) % 0.37/0.62 (step @p119 :rule bool-double-not-elim :args (@t42)) % 0.37/0.62 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t95 (not @t41)))) % 0.37/0.62 (step @p121 :rule bool-and-de-morgan :args (@t43 @t41 true)) % 0.37/0.62 (step @p122 :rule trans :premises (@p121 @p120)) % 0.37/0.62 (step @p123 :rule nary_cong :premises (@p122 @p117) :args ((or (not @t44) @t39))) % 0.37/0.62 (step @p124 :rule trans :premises (@p123 @p116)) % 0.37/0.62 (step @p125 :rule bool-impl-elim :args (@t44 @t39)) % 0.37/0.62 (step @p126 :rule trans :premises (@p125 @p124)) % 0.37/0.62 (step @p127 :rule cong :premises (@p126) :args (@t45)) % 0.37/0.62 (step @p128 :rule trans :premises (@p127 @p115)) % 0.37/0.62 (step @p129 :rule eq_resolve :premises (@p35 @p128)) % 0.37/0.62 (step @p130 :rule refl :args (@t96)) % 0.37/0.62 (step @p131 :rule refl :args (@t76)) % 0.37/0.62 (step @p132 :rule eq-symm :args (@t70 tptp.create_slb)) % 0.37/0.62 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130) :args (@t97)) % 0.37/0.62 (step @p134 :rule refl :args (@t94)) % 0.37/0.62 (step @p135 :rule cong :premises (@p134 @p133) :args ((=> @t94 @t97))) % 0.37/0.62 (assume-push @p409 @t94) % 0.37/0.62 (step @p137 :rule instantiate :premises (@p129) :args ((@list @t71 @t70 @t69))) % 0.37/0.62 (step-pop @p410 :rule scope :premises (@p137)) % 0.37/0.62 (step @p138 :rule process_scope :premises (@p410) :args (@t97)) % 0.37/0.62 (step @p140 :rule eq_resolve :premises (@p138 @p135)) % 0.37/0.62 (step @p141 :rule implies_elim :premises (@p140)) % 0.37/0.62 (step @p142 :rule chain_m_resolution :premises (@p141 @p129) :args (@t98 @t99 @t100)) % 0.37/0.62 (step @p143 :rule cnf_or_pos :args (@t98)) % 0.37/0.62 (step @p144 :rule reordering :premises (@p143) :args ((or @t76 @t96 @t87 (not @t98)))) % 0.37/0.62 (step @p145 :rule refl :args (@t101)) % 0.37/0.62 (step @p146 :rule nary_cong :premises (@p65 @p145 @p62) :args ((or @t74 @t101 @t90))) % 0.37/0.62 (assume-push @p411 @t73) % 0.37/0.62 (assume-push @p412 @t96) % 0.37/0.62 (assume-push @p413 @t89) % 0.37/0.62 (step @p72 :rule evaluate :args (@t91)) % 0.37/0.62 (step @p150 :rule true_intro :premises (@p411)) % 0.37/0.62 (step @p151 :rule symm :premises (@p412)) % 0.37/0.62 (step @p152 :rule cong :premises (@p151) :args (@t84)) % 0.37/0.62 (step @p88 :rule false_intro :premises (@p59)) % 0.37/0.62 (step @p89 :rule symm :premises (@p88)) % 0.37/0.62 (step @p153 :rule trans :premises (@p89 @p152 @p150)) % 0.37/0.62 (step @p154 false :rule eq_resolve :premises (@p153 @p72)) % 0.37/0.62 (step-pop @p414 :rule scope :premises (@p154)) % 0.37/0.62 (step-pop @p415 :rule scope :premises (@p414)) % 0.37/0.62 (step-pop @p416 :rule scope :premises (@p415)) % 0.37/0.62 (step @p155 :rule process_scope :premises (@p416) :args (false)) % 0.37/0.62 (step @p159 :rule not_and :premises (@p155)) % 0.37/0.62 (step @p160 :rule eq_resolve :premises (@p159 @p146)) % 0.37/0.62 (step @p161 :rule chain_m_resolution :premises (@p160 @p59 @p144 @p142 @p114 @p60 @p59 @p58 @p54 @p48) :args (@t77 (@list true false false true false true false false true) (@list @t84 @t96 @t98 @t87 @t81 @t84 @t85 @t73 @t76))) % 0.37/0.62 (step @p162 :rule refl :args (@t102)) % 0.37/0.62 (step @p163 :rule bool-double-not-elim :args (@t68)) % 0.37/0.62 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or (not @t103) @t102))) % 0.37/0.62 (assume-push @p417 @t103) % 0.37/0.62 (step @p166 :rule skolemize :premises (@p417)) % 0.37/0.62 (step-pop @p418 :rule scope :premises (@p166)) % 0.37/0.62 (step @p167 :rule process_scope :premises (@p418) :args (@t102)) % 0.37/0.62 (step @p169 :rule implies_elim :premises (@p167)) % 0.37/0.62 (step @p170 :rule eq_resolve :premises (@p169 @p164)) % 0.37/0.62 (step @p171 :rule chain_m_resolution :premises (@p170 @p161) :args (@t68 @t99 (@list @t77))) % 0.37/0.62 (step @p172 :rule instantiate :premises (@p46) :args ((@list @t109 tptp.create_slb))) % 0.37/0.62 (step @p173 :rule false_intro :premises (@p172)) % 0.37/0.62 (step @p174 :rule instantiate :premises (@p34) :args ((@list @t109 @t110))) % 0.37/0.62 (step @p175 :rule cong :premises (@p174) :args (@t111)) % 0.37/0.62 (step @p176 :rule trans :premises (@p175 @p173)) % 0.37/0.62 (step @p177 :rule false_elim :premises (@p176)) % 0.37/0.62 (step @p178 :rule refl :args (@t111)) % 0.37/0.62 (step @p179 :rule bool-double-not-elim :args (@t108)) % 0.37/0.62 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or (not @t112) @t111))) % 0.37/0.62 (step @p181 :rule bool-double-not-elim :args (@t111)) % 0.37/0.62 (step @p182 :rule refl :args (@t112)) % 0.37/0.62 (step @p183 :rule cong :premises (@p182 @p181) :args ((=> @t112 @t113))) % 0.37/0.62 (assume-push @p419 @t112) % 0.37/0.62 (step @p185 :rule skolemize :premises (@p419)) % 0.37/0.62 (step-pop @p420 :rule scope :premises (@p185)) % 0.37/0.62 (step @p186 :rule process_scope :premises (@p420) :args (@t113)) % 0.37/0.62 (step @p188 :rule eq_resolve :premises (@p186 @p183)) % 0.37/0.62 (step @p189 :rule implies_elim :premises (@p188)) % 0.37/0.62 (step @p190 :rule eq_resolve :premises (@p189 @p180)) % 0.37/0.62 (step @p191 :rule chain_m_resolution :premises (@p190 @p177) :args (@t108 @t114 (@list @t111))) % 0.37/0.62 (step @p192 :rule refl :args (@t60)) % 0.37/0.62 (step @p193 :rule refl :args (@t68)) % 0.37/0.62 (step @p194 :rule aci_norm :args ((= (or false @t106) @t106))) % 0.37/0.62 (step @p195 :rule refl :args (@t106)) % 0.37/0.62 (step @p196 :rule evaluate :args ((not true))) % 0.37/0.62 (step @p197 :rule eq-refl :args (tptp.create_slb)) % 0.37/0.62 (step @p198 :rule cong :premises (@p197) :args (@t115)) % 0.37/0.62 (step @p199 :rule trans :premises (@p198 @p196)) % 0.37/0.62 (step @p200 :rule nary_cong :premises (@p199 @p195) :args (@t116)) % 0.37/0.62 (step @p201 :rule trans :premises (@p200 @p194)) % 0.37/0.62 (step @p202 :rule cong :premises (@p201) :args ((forall @t107 @t116))) % 0.37/0.62 (step @p203 :rule quant-var-elim-eq :args ((= (forall @t121 (or @t120 @t119 @t118)) @t116))) % 0.37/0.62 (step @p204 :rule refl :args (@t118)) % 0.37/0.62 (step @p205 :rule refl :args (@t119)) % 0.37/0.62 (step @p206 :rule eq-symm :args (tptp.create_slb @t117)) % 0.37/0.62 (step @p207 :rule cong :premises (@p206) :args (@t119)) % 0.37/0.62 (step @p208 :rule nary_cong :premises (@p207 @p205 @p204) :args (@t122)) % 0.37/0.62 (step @p209 :rule aci_norm :args ((= @t123 @t122))) % 0.37/0.62 (step @p210 :rule trans :premises (@p209 @p208)) % 0.37/0.62 (step @p211 :rule cong :premises (@p210) :args (@t124)) % 0.37/0.62 (step @p212 :rule trans :premises (@p211 @p203)) % 0.37/0.62 (step @p213 :rule cong :premises (@p212) :args (@t125)) % 0.37/0.62 (step @p214 :rule quant-merge-prenex :args ((= @t125 @t126))) % 0.37/0.62 (step @p215 :rule symm :premises (@p214)) % 0.37/0.62 (step @p216 :rule quant_var_reordering :args ((= (forall @t127 @t123) @t126))) % 0.37/0.62 (step @p217 :rule trans :premises (@p216 @p215 @p213)) % 0.37/0.62 (step @p218 :rule trans :premises (@p217 @p202)) % 0.37/0.62 (step @p219 :rule refl :args (@t118)) % 0.37/0.62 (step @p220 :rule eq-symm :args (@t117 tptp.create_slb)) % 0.37/0.62 (step @p221 :rule cong :premises (@p220) :args (@t120)) % 0.37/0.62 (step @p222 :rule nary_cong :premises (@p221 @p219) :args (@t128)) % 0.37/0.62 (step @p223 :rule cong :premises (@p222) :args (@t129)) % 0.37/0.62 (step @p224 :rule trans :premises (@p223 @p218)) % 0.37/0.62 (step @p225 :rule nary_cong :premises (@p224 @p193 @p192) :args ((and @t129 @t68 @t60))) % 0.37/0.62 (step @p226 :rule alpha_equiv :args (@t132 @t133 (@list @t58 @t57 @t56))) % 0.37/0.62 (step @p227 :rule alpha_equiv :args (@t135 @t133 (@list @t67 @t66 @t65))) % 0.37/0.62 (step @p228 :rule alpha_equiv :args (@t137 @t133 (@list @t105 @t117 @t104))) % 0.37/0.62 (step @p229 :rule nary_cong :premises (@p228 @p227 @p226) :args (@t138)) % 0.37/0.62 (step @p230 :rule quant-miniscope-and :args ((= (forall @t5 @t139) @t138))) % 0.37/0.62 (step @p231 :rule trans :premises (@p230 @p229)) % 0.37/0.62 (step @p232 :rule trans :premises (@p231 @p225)) % 0.37/0.62 (step @p233 :rule aci_norm :args ((= (and @t136 (and @t134 @t131)) @t139))) % 0.37/0.62 (step @p234 :rule bool-or-and-distrib :args (@t40 @t50 true @t130 false)) % 0.37/0.62 (step @p235 :rule refl :args (@t136)) % 0.37/0.62 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((and @t136 (or (and @t40 @t50) @t130)))) % 0.37/0.62 (step @p237 :rule bool-or-and-distrib :args (@t43 @t40 (and @t50) @t130 false)) % 0.37/0.62 (step @p238 :rule trans :premises (@p237 @p236)) % 0.37/0.62 (step @p239 :rule trans :premises (@p238 @p233)) % 0.37/0.62 (step @p240 :rule cong :premises (@p239) :args ((forall @t5 @t140))) % 0.37/0.62 (step @p241 :rule trans :premises (@p240 @p232)) % 0.37/0.62 (step @p242 :rule aci_norm :args ((= @t141 @t140))) % 0.37/0.62 (step @p243 :rule cong :premises (@p242) :args ((forall @t5 @t141))) % 0.37/0.62 (step @p244 :rule trans :premises (@p243 @p241)) % 0.37/0.62 (step @p245 :rule bool-impl-elim :args (@t53 @t51)) % 0.37/0.62 (step @p246 :rule cong :premises (@p245) :args (@t54)) % 0.37/0.62 (step @p247 :rule trans :premises (@p246 @p244)) % 0.37/0.62 (step @p248 :rule cong :premises (@p247) :args (@t55)) % 0.37/0.62 (step @p249 :rule eq_resolve :premises (@p42 @p248)) % 0.37/0.62 (step @p250 :rule not_and :premises (@p249)) % 0.37/0.62 (step @p251 :rule chain_m_resolution :premises (@p250 @p191 @p171) :args (@t142 @t143 (@list @t108 @t68))) % 0.37/0.62 (step @p252 :rule refl :args (@t152)) % 0.37/0.62 (step @p253 :rule bool-double-not-elim :args (@t60)) % 0.37/0.62 (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((or (not @t142) @t152))) % 0.37/0.62 (assume-push @p421 @t142) % 0.37/0.62 (step @p256 :rule skolemize :premises (@p421)) % 0.37/0.62 (step-pop @p422 :rule scope :premises (@p256)) % 0.37/0.62 (step @p257 :rule process_scope :premises (@p422) :args (@t152)) % 0.37/0.62 (step @p259 :rule implies_elim :premises (@p257)) % 0.37/0.62 (step @p260 :rule eq_resolve :premises (@p259 @p254)) % 0.37/0.62 (step @p261 :rule chain_m_resolution :premises (@p260 @p251) :args (@t152 @t114 (@list @t60))) % 0.37/0.62 (step @p262 :rule bool-double-not-elim :args (@t147)) % 0.37/0.62 (step @p263 :rule refl :args (@t151)) % 0.37/0.62 (step @p264 :rule nary_cong :premises (@p263 @p262) :args ((or @t151 (not @t148)))) % 0.37/0.62 (step @p265 :rule cnf_or_neg :args (@t151 1)) % 0.37/0.62 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 0.37/0.62 (step @p267 :rule reordering :premises (@p266) :args ((or @t147 @t151))) % 0.37/0.62 (step @p268 :rule chain_m_resolution :premises (@p267 @p261) :args (@t147 @t114 @t153)) % 0.37/0.62 (step @p269 :rule instantiate :premises (@p57) :args ((@list @t62))) % 0.37/0.62 (step @p270 :rule instantiate :premises (@p34) :args ((@list @t61 @t144))) % 0.37/0.62 (assume-push @p423 @t154) % 0.37/0.62 (assume-push @p424 @t156) % 0.37/0.62 (assume-push @p425 @t158) % 0.37/0.62 (assume-push @p426 @t154) % 0.37/0.62 (assume-push @p427 @t156) % 0.37/0.62 (assume-push @p428 @t158) % 0.37/0.62 (step @p79 :rule refl :args (tptp.bad)) % 0.37/0.62 (step @p277 :rule refl :args (@t62)) % 0.37/0.62 (step @p278 :rule cong :premises (@p423 @p277) :args (@t155)) % 0.37/0.62 (step @p279 :rule trans :premises (@p269 @p278)) % 0.37/0.62 (step @p280 :rule refl :args (@t61)) % 0.37/0.62 (step @p281 :rule cong :premises (@p280 @p279 @p79) :args (@t157)) % 0.37/0.62 (step @p282 :rule refl :args (@t144)) % 0.37/0.62 (step @p283 :rule symm :premises (@p423)) % 0.37/0.62 (step @p284 :rule cong :premises (@p280 @p283 @p282) :args (@t145)) % 0.37/0.62 (step @p285 :rule cong :premises (@p284) :args (@t146)) % 0.37/0.62 (step @p286 :rule trans :premises (@p285 @p270 @p281)) % 0.37/0.62 (step-pop @p429 :rule scope :premises (@p286)) % 0.37/0.62 (step-pop @p430 :rule scope :premises (@p429)) % 0.37/0.62 (step-pop @p431 :rule scope :premises (@p430)) % 0.37/0.62 (step @p287 :rule process_scope :premises (@p431) :args (@t160)) % 0.37/0.62 (step @p291 :rule and_intro :premises (@p423 @p269 @p270)) % 0.37/0.62 (step @p292 :rule modus_ponens :premises (@p291 @p287)) % 0.37/0.62 (step-pop @p432 :rule scope :premises (@p292)) % 0.37/0.62 (step-pop @p433 :rule scope :premises (@p432)) % 0.37/0.62 (step-pop @p434 :rule scope :premises (@p433)) % 0.37/0.62 (step @p293 :rule process_scope :premises (@p434) :args (@t160)) % 0.37/0.62 (step @p297 :rule implies_elim :premises (@p293)) % 0.37/0.62 (step @p298 :rule cnf_and_neg :args (@t161)) % 0.37/0.62 (step @p299 :rule resolution :premises (@p298 @p297) :args (true @t161)) % 0.37/0.62 (step @p300 :rule reordering :premises (@p299) :args ((or @t160 (not @t154) (not @t156) (not @t158)))) % 0.37/0.62 (step @p301 :rule refl :args (@t160)) % 0.37/0.62 (step @p302 :rule refl :args (@t162)) % 0.37/0.62 (step @p303 :rule eq-symm :args (@t63 tptp.create_slb)) % 0.37/0.62 (step @p304 :rule nary_cong :premises (@p303 @p302 @p301) :args (@t164)) % 0.37/0.62 (step @p305 :rule cong :premises (@p134 @p304) :args ((=> @t94 @t164))) % 0.37/0.62 (assume-push @p435 @t94) % 0.37/0.62 (step @p307 :rule instantiate :premises (@p129) :args (@t165)) % 0.37/0.62 (step-pop @p436 :rule scope :premises (@p307)) % 0.37/0.62 (step @p308 :rule process_scope :premises (@p436) :args (@t164)) % 0.37/0.62 (step @p310 :rule eq_resolve :premises (@p308 @p305)) % 0.37/0.62 (step @p311 :rule implies_elim :premises (@p310)) % 0.37/0.62 (step @p312 :rule chain_m_resolution :premises (@p311 @p129) :args (@t166 @t99 @t100)) % 0.37/0.62 (step @p313 :rule cnf_or_pos :args (@t166)) % 0.37/0.62 (step @p314 :rule reordering :premises (@p313) :args ((or @t162 @t160 @t154 (not @t166)))) % 0.37/0.62 (step @p315 :rule quant-unused-vars :args ((= (forall @t16 @t168) @t169))) % 0.37/0.62 (step @p316 :rule aci_norm :args ((= (or (or @t42 @t41 @t167) @t39) @t168))) % 0.37/0.62 (step @p317 :rule refl :args (@t167)) % 0.37/0.62 (step @p318 :rule refl :args (@t41)) % 0.37/0.62 (step @p319 :rule nary_cong :premises (@p119 @p318 @p317) :args (@t170)) % 0.37/0.62 (step @p320 :rule aci_norm :args ((= (or @t95 (or @t41 @t167)) @t170))) % 0.37/0.62 (step @p321 :rule trans :premises (@p320 @p319)) % 0.37/0.62 (step @p322 :rule bool-and-de-morgan :args (@t40 @t47 true)) % 0.37/0.62 (step @p323 :rule refl :args (@t95)) % 0.37/0.62 (step @p324 :rule nary_cong :premises (@p323 @p322) :args ((or @t95 (not (and @t40 @t47))))) % 0.37/0.62 (step @p325 :rule bool-and-de-morgan :args (@t43 @t40 (and @t47))) % 0.37/0.62 (step @p326 :rule trans :premises (@p325 @p324)) % 0.37/0.62 (step @p327 :rule trans :premises (@p326 @p321)) % 0.37/0.62 (step @p328 :rule nary_cong :premises (@p327 @p117) :args ((or (not @t48) @t39))) % 0.37/0.62 (step @p329 :rule trans :premises (@p328 @p316)) % 0.37/0.62 (step @p330 :rule bool-impl-elim :args (@t48 @t39)) % 0.37/0.62 (step @p331 :rule trans :premises (@p330 @p329)) % 0.37/0.62 (step @p332 :rule cong :premises (@p331) :args (@t49)) % 0.37/0.62 (step @p333 :rule trans :premises (@p332 @p315)) % 0.37/0.62 (step @p334 :rule eq_resolve :premises (@p36 @p333)) % 0.37/0.62 (step @p335 :rule refl :args (@t172)) % 0.37/0.62 (step @p336 :rule refl :args (@t173)) % 0.37/0.62 (step @p337 :rule nary_cong :premises (@p303 @p336 @p335 @p301) :args (@t174)) % 0.37/0.62 (step @p338 :rule refl :args (@t169)) % 0.37/0.62 (step @p339 :rule cong :premises (@p338 @p337) :args ((=> @t169 @t174))) % 0.37/0.62 (assume-push @p437 @t169) % 0.37/0.62 (step @p341 :rule instantiate :premises (@p334) :args (@t165)) % 0.37/0.62 (step-pop @p438 :rule scope :premises (@p341)) % 0.37/0.62 (step @p342 :rule process_scope :premises (@p438) :args (@t174)) % 0.37/0.62 (step @p344 :rule eq_resolve :premises (@p342 @p339)) % 0.37/0.62 (step @p345 :rule implies_elim :premises (@p344)) % 0.37/0.62 (step @p346 :rule chain_m_resolution :premises (@p345 @p334) :args (@t175 @t99 (@list @t169))) % 0.37/0.62 (step @p347 :rule instantiate :premises (@p4) :args ((@list @t62 @t149))) % 0.37/0.62 (step @p348 :rule instantiate :premises (@p2) :args ((@list @t149 @t62))) % 0.37/0.62 (step @p349 :rule cnf_or_neg :args (@t151 0)) % 0.37/0.62 (step @p350 :rule chain_m_resolution :premises (@p349 @p261) :args (@t176 @t114 @t153)) % 0.37/0.62 (step @p351 :rule cnf_or_pos :args (@t178)) % 0.37/0.62 (step @p352 :rule reordering :premises (@p351) :args ((or @t150 @t177 (not @t178)))) % 0.37/0.62 (step @p353 :rule chain_m_resolution :premises (@p352 @p350 @p348) :args (@t177 @t179 (@list @t150 @t178))) % 0.37/0.62 (step @p354 :rule bool-double-not-elim :args (@t150)) % 0.37/0.62 (step @p355 :rule refl :args (@t180)) % 0.37/0.62 (step @p356 :rule refl :args (@t181)) % 0.37/0.62 (step @p357 :rule nary_cong :premises (@p356 @p355 @p354) :args ((or @t181 @t180 (not @t176)))) % 0.37/0.62 (step @p358 :rule cnf_and_neg :args (@t181)) % 0.37/0.62 (step @p359 :rule eq_resolve :premises (@p358 @p357)) % 0.37/0.62 (step @p360 :rule reordering :premises (@p359) :args ((or @t150 @t180 @t181))) % 0.37/0.62 (step @p361 :rule chain_m_resolution :premises (@p360 @p350 @p353) :args (@t181 @t179 (@list @t150 @t177))) % 0.37/0.62 (step @p362 :rule cnf_equiv_pos2 :args (@t182)) % 0.37/0.62 (step @p363 :rule reordering :premises (@p362) :args ((or @t171 (not @t181) (not @t182)))) % 0.37/0.62 (step @p364 :rule chain_m_resolution :premises (@p363 @p361 @p347) :args (@t171 @t143 (@list @t181 @t182))) % 0.37/0.62 (step @p365 :rule cnf_or_pos :args (@t175)) % 0.37/0.62 (step @p366 :rule reordering :premises (@p365) :args ((or @t160 @t154 @t173 @t172 (not @t175)))) % 0.37/0.62 (step @p367 :rule chain_m_resolution :premises (@p366 @p364 @p346 @p314 @p312 @p300 @p270 @p269) :args (@t160 (@list false false false false true false false) (@list @t171 @t175 @t162 @t166 @t154 @t158 @t156))) % 0.37/0.62 (step @p368 :rule bool-double-not-elim :args (@t183)) % 0.37/0.62 (step @p369 :rule refl :args (@t184)) % 0.37/0.62 (step @p370 :rule refl :args (@t148)) % 0.37/0.62 (step @p371 :rule nary_cong :premises (@p370 @p369 @p368) :args ((or @t148 @t184 (not @t185)))) % 0.37/0.62 (assume-push @p439 @t147) % 0.37/0.62 (assume-push @p440 @t160) % 0.37/0.62 (assume-push @p441 @t185) % 0.37/0.62 (step @p72 :rule evaluate :args (@t91)) % 0.37/0.62 (step @p375 :rule true_intro :premises (@p439)) % 0.37/0.62 (step @p376 :rule symm :premises (@p440)) % 0.37/0.62 (step @p377 :rule cong :premises (@p376) :args (@t183)) % 0.37/0.62 (step @p378 :rule false_intro :premises (@p47)) % 0.37/0.62 (step @p379 :rule symm :premises (@p378)) % 0.37/0.62 (step @p380 :rule trans :premises (@p379 @p377 @p375)) % 0.37/0.62 (step @p381 false :rule eq_resolve :premises (@p380 @p72)) % 0.37/0.62 (step-pop @p442 :rule scope :premises (@p381)) % 0.37/0.62 (step-pop @p443 :rule scope :premises (@p442)) % 0.37/0.62 (step-pop @p444 :rule scope :premises (@p443)) % 0.37/0.62 (step @p382 :rule process_scope :premises (@p444) :args (false)) % 0.37/0.62 (step @p386 :rule not_and :premises (@p382)) % 0.37/0.62 (step @p387 :rule eq_resolve :premises (@p386 @p371)) % 0.37/0.62 (step @p388 false :rule chain_m_resolution :premises (@p387 @p367 @p268 @p47) :args (false (@list false false true) (@list @t160 @t147 @t183))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------