%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV380+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 09:01:19 AM UTC 2026 % Result : Theorem 0.39s 0.64s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV380+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n017.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 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 20:04:46 EDT 2026 % 0.18/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.64 % SZS status Theorem % 0.39/0.64 % SZS output start Proof % 0.39/0.64 ( % 0.39/0.64 (declare-sort $$unsorted 0) % 0.39/0.64 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.bottom $$unsorted) % 0.39/0.64 (declare-const tptp.create_slb $$unsorted) % 0.39/0.64 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.ok (-> $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.bad $$unsorted) % 0.39/0.64 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (define @t1 () (@var "W" $$unsorted)) % 0.39/0.64 (define @t2 () (@var "U" $$unsorted)) % 0.39/0.64 (define @t3 () (@var "V" $$unsorted)) % 0.39/0.64 (define @t4 () (tptp.less_than @t2 @t3)) % 0.39/0.64 (define @t5 () (@list @t2 @t3 @t1)) % 0.39/0.64 (define @t6 () (tptp.less_than @t3 @t2)) % 0.39/0.64 (define @t7 () (@list @t2 @t3)) % 0.39/0.64 (define @t8 () (@list @t2)) % 0.39/0.64 (define @t9 () (tptp.pair @t3 @t1)) % 0.39/0.64 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.39/0.64 (define @t11 () (= @t3 @t1)) % 0.39/0.64 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.39/0.64 (define @t13 () (@var "X" $$unsorted)) % 0.39/0.64 (define @t14 () (tptp.pair @t3 @t13)) % 0.39/0.64 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.39/0.64 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.39/0.64 (define @t17 () (@var "Y" $$unsorted)) % 0.39/0.64 (define @t18 () (@list @t2 @t3 @t1 @t13 @t17)) % 0.39/0.64 (define @t19 () (and (not @t11) @t12)) % 0.39/0.64 (define @t20 () (tptp.update_slb @t2 @t1)) % 0.39/0.64 (define @t21 () (tptp.update_slb @t15 @t1)) % 0.39/0.64 (define @t22 () (tptp.succ_cpq @t2 @t3)) % 0.39/0.64 (define @t23 () (tptp.triple @t2 tptp.create_slb @t3)) % 0.39/0.64 (define @t24 () (tptp.triple @t2 @t3 @t1)) % 0.39/0.64 (define @t25 () (tptp.check_cpq (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t13 @t17)) @t1))) % 0.39/0.64 (define @t26 () (tptp.contains_slb @t3 @t13)) % 0.39/0.64 (define @t27 () (tptp.triple @t2 @t3 tptp.bad)) % 0.39/0.64 (define @t28 () (tptp.ok @t27)) % 0.39/0.64 (define @t29 () (forall @t7 (= @t28 false))) % 0.39/0.64 (define @t30 () (= @t1 tptp.bad)) % 0.39/0.64 (define @t31 () (tptp.ok @t24)) % 0.39/0.64 (define @t32 () (not @t31)) % 0.39/0.64 (define @t33 () (forall @t5 (=> @t32 @t30))) % 0.39/0.64 (define @t34 () (tptp.remove_cpq @t24 @t13)) % 0.39/0.64 (define @t35 () (tptp.remove_slb @t3 @t13)) % 0.39/0.64 (define @t36 () (tptp.remove_pqp @t2 @t13)) % 0.39/0.64 (define @t37 () (tptp.lookup_slb @t3 @t13)) % 0.39/0.64 (define @t38 () (tptp.findmin_pqp_res @t2)) % 0.39/0.64 (define @t39 () (tptp.update_slb @t3 @t38)) % 0.39/0.64 (define @t40 () (tptp.findmin_cpq_eff @t24)) % 0.39/0.64 (define @t41 () (= @t40 (tptp.triple @t2 @t39 tptp.bad))) % 0.39/0.64 (define @t42 () (tptp.contains_slb @t3 @t38)) % 0.39/0.64 (define @t43 () (not @t42)) % 0.39/0.64 (define @t44 () (= @t3 tptp.create_slb)) % 0.39/0.64 (define @t45 () (not @t44)) % 0.39/0.64 (define @t46 () (and @t45 @t43)) % 0.39/0.64 (define @t47 () (forall @t16 (=> @t46 @t41))) % 0.39/0.64 (define @t48 () (tptp.lookup_slb @t3 @t38)) % 0.39/0.64 (define @t49 () (tptp.strictly_less_than @t38 @t48)) % 0.39/0.64 (define @t50 () (and @t45 @t42 @t49)) % 0.39/0.64 (define @t51 () (forall @t16 (=> @t50 @t41))) % 0.39/0.64 (define @t52 () (= @t40 (tptp.triple @t2 @t39 @t1))) % 0.39/0.64 (define @t53 () (tptp.less_than @t48 @t38)) % 0.39/0.64 (define @t54 () (and @t45 @t42 @t53)) % 0.39/0.64 (define @t55 () (forall @t16 (=> @t54 @t52))) % 0.39/0.64 (define @t56 () (tptp.findmin_cpq_res @t24)) % 0.39/0.64 (define @t57 () (=> @t45 (= @t56 @t38))) % 0.39/0.64 (define @t58 () (forall @t16 @t57)) % 0.39/0.64 (define @t59 () (tptp.findmin_cpq_res @t2)) % 0.39/0.64 (define @t60 () (not (tptp.ok @t34))) % 0.39/0.64 (define @t61 () (forall @t16 (=> @t32 @t60))) % 0.39/0.64 (define @t62 () (not (tptp.ok (tptp.removemin_cpq_eff @t24)))) % 0.39/0.64 (define @t63 () (forall @t5 (=> @t32 @t62))) % 0.39/0.64 (define @t64 () (not @t63)) % 0.39/0.64 (define @t65 () (not @t32)) % 0.39/0.64 (define @t66 () (forall @t5 (or @t31 @t62))) % 0.39/0.64 (define @t67 () (@quantifiers_skolemize @t66 2)) % 0.39/0.64 (define @t68 () (@quantifiers_skolemize @t66 1)) % 0.39/0.64 (define @t69 () (@quantifiers_skolemize @t66 0)) % 0.39/0.64 (define @t70 () (tptp.triple @t69 @t68 @t67)) % 0.39/0.64 (define @t71 () (tptp.ok @t70)) % 0.39/0.64 (define @t72 () (or @t71 (= @t67 tptp.bad))) % 0.39/0.64 (define @t73 () (forall @t5 (or @t31 @t30))) % 0.39/0.64 (define @t74 () (@list @t69 @t68 @t67)) % 0.39/0.64 (define @t75 () (= tptp.bad @t67)) % 0.39/0.64 (define @t76 () (or @t71 @t75)) % 0.39/0.64 (define @t77 () (@list false)) % 0.39/0.64 (define @t78 () (tptp.removemin_cpq_eff @t70)) % 0.39/0.64 (define @t79 () (tptp.ok @t78)) % 0.39/0.64 (define @t80 () (not @t79)) % 0.39/0.64 (define @t81 () (or @t71 @t80)) % 0.39/0.64 (define @t82 () (@list true)) % 0.39/0.64 (define @t83 () (@list @t81)) % 0.39/0.64 (define @t84 () (@list true false)) % 0.39/0.64 (define @t85 () (tptp.findmin_cpq_res @t70)) % 0.39/0.64 (define @t86 () (tptp.findmin_pqp_res @t69)) % 0.39/0.64 (define @t87 () (tptp.update_slb @t68 @t86)) % 0.39/0.64 (define @t88 () (tptp.triple @t69 @t87 tptp.bad)) % 0.39/0.64 (define @t89 () (tptp.remove_cpq @t88 @t85)) % 0.39/0.64 (define @t90 () (tptp.ok @t89)) % 0.39/0.64 (define @t91 () (not @t90)) % 0.39/0.64 (define @t92 () (tptp.ok @t88)) % 0.39/0.64 (define @t93 () (or @t92 @t91)) % 0.39/0.64 (define @t94 () (= @t38 @t56)) % 0.39/0.64 (define @t95 () (or @t44 @t94)) % 0.39/0.64 (define @t96 () (forall @t5 @t95)) % 0.39/0.64 (define @t97 () (not @t45)) % 0.39/0.64 (define @t98 () (= @t86 @t85)) % 0.39/0.64 (define @t99 () (= @t68 tptp.create_slb)) % 0.39/0.64 (define @t100 () (or @t99 @t98)) % 0.39/0.64 (define @t101 () (= tptp.create_slb @t68)) % 0.39/0.64 (define @t102 () (or @t101 @t98)) % 0.39/0.64 (define @t103 () (tptp.remove_cpq @t70 @t85)) % 0.39/0.64 (define @t104 () (tptp.ok @t103)) % 0.39/0.64 (define @t105 () (not @t104)) % 0.39/0.64 (define @t106 () (or @t71 @t105)) % 0.39/0.64 (define @t107 () (tptp.triple @t69 tptp.create_slb tptp.bad)) % 0.39/0.64 (define @t108 () (tptp.triple @t69 tptp.create_slb @t67)) % 0.39/0.64 (define @t109 () (tptp.findmin_cpq_eff @t108)) % 0.39/0.64 (define @t110 () (= @t109 @t107)) % 0.39/0.64 (define @t111 () (not @t110)) % 0.39/0.64 (define @t112 () (tptp.findmin_cpq_eff @t70)) % 0.39/0.64 (define @t113 () (= @t78 (tptp.remove_cpq @t112 @t85))) % 0.39/0.64 (define @t114 () (not @t113)) % 0.39/0.64 (define @t115 () (not @t101)) % 0.39/0.64 (define @t116 () (not @t75)) % 0.39/0.64 (define @t117 () (= false true)) % 0.39/0.64 (define @t118 () (and @t79 @t113 @t75 @t101 @t110 @t105)) % 0.39/0.64 (define @t119 () (not @t98)) % 0.39/0.64 (define @t120 () (= @t112 @t88)) % 0.39/0.64 (define @t121 () (not @t120)) % 0.39/0.64 (define @t122 () (and @t79 @t113 @t120 @t98 @t91)) % 0.39/0.64 (define @t123 () (not @t53)) % 0.39/0.64 (define @t124 () (or @t44 @t43 @t123 @t52)) % 0.39/0.64 (define @t125 () (forall @t5 @t124)) % 0.39/0.64 (define @t126 () (or @t97 @t43 @t123)) % 0.39/0.64 (define @t127 () (tptp.triple @t69 @t87 @t67)) % 0.39/0.64 (define @t128 () (= @t112 @t127)) % 0.39/0.64 (define @t129 () (tptp.lookup_slb @t68 @t86)) % 0.39/0.64 (define @t130 () (tptp.less_than @t129 @t86)) % 0.39/0.64 (define @t131 () (not @t130)) % 0.39/0.64 (define @t132 () (tptp.contains_slb @t68 @t86)) % 0.39/0.64 (define @t133 () (not @t132)) % 0.39/0.64 (define @t134 () (or @t99 @t133 @t131 @t128)) % 0.39/0.64 (define @t135 () (or @t101 @t133 @t131 @t128)) % 0.39/0.64 (define @t136 () (@list @t86 @t129)) % 0.39/0.64 (define @t137 () (not @t49)) % 0.39/0.64 (define @t138 () (or @t44 @t43 @t137 @t41)) % 0.39/0.64 (define @t139 () (forall @t5 @t138)) % 0.39/0.64 (define @t140 () (or @t97 @t43 @t137)) % 0.39/0.64 (define @t141 () (tptp.strictly_less_than @t86 @t129)) % 0.39/0.64 (define @t142 () (not @t141)) % 0.39/0.64 (define @t143 () (or @t99 @t133 @t142 @t120)) % 0.39/0.64 (define @t144 () (or @t101 @t133 @t142 @t120)) % 0.39/0.64 (define @t145 () (or @t44 @t42 @t41)) % 0.39/0.64 (define @t146 () (forall @t5 @t145)) % 0.39/0.64 (define @t147 () (or @t99 @t132 @t120)) % 0.39/0.64 (define @t148 () (or @t101 @t132 @t120)) % 0.39/0.64 (define @t149 () (tptp.less_than @t86 @t129)) % 0.39/0.64 (define @t150 () (and @t149 @t131)) % 0.39/0.64 (define @t151 () (= @t141 @t150)) % 0.39/0.64 (define @t152 () (not @t150)) % 0.39/0.64 (define @t153 () (not @t149)) % 0.39/0.64 (define @t154 () (or @t149 @t130)) % 0.39/0.64 (define @t155 () (not @t128)) % 0.39/0.64 (define @t156 () (and @t128 @t155)) % 0.39/0.64 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.39/0.64 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.39/0.64 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.39/0.64 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.39/0.64 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.39/0.64 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.39/0.64 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.39/0.64 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.39/0.64 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.39/0.64 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.39/0.64 (assume @p11 (forall @t18 (= (tptp.pair_in_list @t15 @t1 @t17) (or (tptp.pair_in_list @t2 @t1 @t17) (and @t11 (= @t13 @t17)))))) % 0.39/0.64 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.39/0.64 (assume @p13 (forall @t16 (=> @t19 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.39/0.64 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.39/0.64 (assume @p15 (forall @t16 (=> @t19 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.39/0.64 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.39/0.64 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t21 (tptp.insert_slb @t20 @t9))))) % 0.39/0.64 (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t21 (tptp.insert_slb @t20 @t14))))) % 0.39/0.64 (assume @p19 (forall @t8 (tptp.succ_cpq @t2 @t2))) % 0.39/0.64 (assume @p20 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1))))) % 0.39/0.64 (assume @p21 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1))))) % 0.39/0.64 (assume @p22 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3))))) % 0.39/0.64 (assume @p23 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3))))) % 0.39/0.64 (assume @p24 (forall @t7 (tptp.check_cpq @t23))) % 0.39/0.64 (assume @p25 (forall @t18 (=> (tptp.less_than @t17 @t13) (= @t25 (tptp.check_cpq @t24))))) % 0.39/0.64 (assume @p26 (forall @t18 (=> (tptp.strictly_less_than @t13 @t17) (= @t25 false)))) % 0.39/0.64 (assume @p27 (forall @t16 (= (tptp.contains_cpq @t24 @t13) @t26))) % 0.39/0.64 (assume @p28 @t29) % 0.39/0.64 (assume @p29 @t33) % 0.39/0.64 (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)))) % 0.39/0.64 (assume @p31 (forall @t16 (=> (not @t26) (= @t34 @t27)))) % 0.39/0.64 (assume @p32 (forall @t16 (=> (and @t26 (tptp.less_than @t37 @t13)) (= @t34 (tptp.triple @t36 @t35 @t1))))) % 0.39/0.64 (assume @p33 (forall @t16 (=> (and @t26 (tptp.strictly_less_than @t13 @t37)) (= @t34 (tptp.triple @t36 @t35 tptp.bad))))) % 0.39/0.64 (assume @p34 (forall @t7 (= (tptp.findmin_cpq_eff @t23) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 0.39/0.64 (assume @p35 @t47) % 0.39/0.64 (assume @p36 @t51) % 0.39/0.64 (assume @p37 @t55) % 0.39/0.64 (assume @p38 (forall @t7 (= (tptp.findmin_cpq_res @t23) tptp.bottom))) % 0.39/0.64 (assume @p39 @t58) % 0.39/0.64 (assume @p40 (forall @t8 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t59)))) % 0.39/0.64 (assume @p41 (forall @t8 (= (tptp.removemin_cpq_res @t2) @t59))) % 0.39/0.64 (assume @p42 @t61) % 0.39/0.64 (assume @p43 @t64) % 0.39/0.64 (assume @p44 true) % 0.39/0.64 (step @p45 :rule refl :args (@t30)) % 0.39/0.64 (step @p46 :rule bool-double-not-elim :args (@t31)) % 0.39/0.64 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t65 @t30))) % 0.39/0.64 (step @p48 :rule bool-impl-elim :args (@t32 @t30)) % 0.39/0.64 (step @p49 :rule trans :premises (@p48 @p47)) % 0.39/0.64 (step @p50 :rule cong :premises (@p49) :args (@t33)) % 0.39/0.64 (step @p51 :rule eq_resolve :premises (@p29 @p50)) % 0.39/0.64 (step @p52 :rule eq-symm :args (@t67 tptp.bad)) % 0.39/0.64 (step @p53 :rule refl :args (@t71)) % 0.39/0.64 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t72)) % 0.39/0.64 (step @p55 :rule refl :args (@t73)) % 0.39/0.64 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t73 @t72))) % 0.39/0.64 (assume-push @p395 @t73) % 0.39/0.64 (step @p58 :rule instantiate :premises (@p51) :args (@t74)) % 0.39/0.64 (step-pop @p396 :rule scope :premises (@p58)) % 0.39/0.64 (step @p59 :rule process_scope :premises (@p396) :args (@t72)) % 0.39/0.64 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 0.39/0.64 (step @p62 :rule implies_elim :premises (@p61)) % 0.39/0.64 (step @p63 :rule chain_m_resolution :premises (@p62 @p51) :args (@t76 @t77 (@list @t73))) % 0.39/0.64 (step @p64 :rule refl :args (@t62)) % 0.39/0.64 (step @p65 :rule nary_cong :premises (@p46 @p64) :args ((or @t65 @t62))) % 0.39/0.64 (step @p66 :rule bool-impl-elim :args (@t32 @t62)) % 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@p293) :args (@t144 @t77 (@list @t139))) % 0.39/0.64 (step @p306 :rule quant-unused-vars :args ((= (forall @t16 @t145) @t146))) % 0.39/0.64 (step @p307 :rule aci_norm :args ((= (or (or @t44 @t42) @t41) @t145))) % 0.39/0.64 (step @p308 :rule bool-double-not-elim :args (@t42)) % 0.39/0.64 (step @p309 :rule nary_cong :premises (@p94 @p308) :args ((or @t97 (not @t43)))) % 0.39/0.64 (step @p310 :rule bool-and-de-morgan :args (@t45 @t43 true)) % 0.39/0.64 (step @p311 :rule trans :premises (@p310 @p309)) % 0.39/0.64 (step @p312 :rule nary_cong :premises (@p311 @p277) :args ((or (not @t46) @t41))) % 0.39/0.64 (step @p313 :rule trans :premises (@p312 @p307)) % 0.39/0.64 (step @p314 :rule bool-impl-elim :args (@t46 @t41)) % 0.39/0.64 (step @p315 :rule trans :premises (@p314 @p313)) % 0.39/0.64 (step @p316 :rule cong :premises (@p315) :args (@t47)) % 0.39/0.64 (step @p317 :rule trans :premises (@p316 @p306)) % 0.39/0.64 (step @p318 :rule eq_resolve :premises (@p35 @p317)) % 0.39/0.64 (step @p319 :rule refl :args (@t132)) % 0.39/0.64 (step @p320 :rule nary_cong :premises (@p107 @p319 @p294) :args (@t147)) % 0.39/0.64 (step @p321 :rule refl :args (@t146)) % 0.39/0.64 (step @p322 :rule cong :premises (@p321 @p320) :args ((=> @t146 @t147))) % 0.39/0.64 (assume-push @p447 @t146) % 0.39/0.64 (step @p324 :rule instantiate :premises (@p318) :args (@t74)) % 0.39/0.64 (step-pop @p448 :rule scope :premises (@p324)) % 0.39/0.64 (step @p325 :rule process_scope :premises (@p448) :args (@t147)) % 0.39/0.64 (step @p327 :rule eq_resolve :premises (@p325 @p322)) % 0.39/0.64 (step @p328 :rule implies_elim :premises (@p327)) % 0.39/0.64 (step @p329 :rule chain_m_resolution :premises (@p328 @p318) :args (@t148 @t77 (@list @t146))) % 0.39/0.64 (step @p330 :rule cnf_or_pos :args (@t148)) % 0.39/0.64 (step @p331 :rule reordering :premises (@p330) :args ((or @t132 @t120 @t101 (not @t148)))) % 0.39/0.64 (step @p332 :rule chain_m_resolution :premises (@p331 @p239 @p193 @p329) :args (@t132 (@list true true false) (@list @t120 @t101 @t148))) % 0.39/0.64 (step @p333 :rule cnf_or_pos :args (@t144)) % 0.39/0.64 (step @p334 :rule reordering :premises (@p333) :args ((or @t120 @t101 @t133 @t142 (not @t144)))) % 0.39/0.64 (step @p335 :rule chain_m_resolution :premises (@p334 @p239 @p193 @p332 @p305) :args (@t142 (@list true true false false) (@list @t120 @t101 @t132 @t144))) % 0.39/0.64 (step @p336 :rule cnf_equiv_pos2 :args (@t151)) % 0.39/0.64 (step @p337 :rule reordering :premises (@p336) :args ((or @t141 @t152 (not @t151)))) % 0.39/0.64 (step @p338 :rule chain_m_resolution :premises (@p337 @p335 @p274) :args (@t152 @t84 (@list @t141 @t151))) % 0.39/0.64 (step @p339 :rule bool-double-not-elim :args (@t130)) % 0.39/0.64 (step @p340 :rule refl :args (@t153)) % 0.39/0.64 (step @p341 :rule refl :args (@t150)) % 0.39/0.64 (step @p342 :rule nary_cong :premises (@p341 @p340 @p339) :args ((or @t150 @t153 (not @t131)))) % 0.39/0.64 (step @p343 :rule cnf_and_neg :args (@t150)) % 0.39/0.64 (step @p344 :rule eq_resolve :premises (@p343 @p342)) % 0.39/0.64 (step @p345 :rule reordering :premises (@p344) :args ((or @t130 @t150 @t153))) % 0.39/0.64 (step @p346 :rule instantiate :premises (@p2) :args (@t136)) % 0.39/0.64 (step @p347 :rule cnf_or_pos :args (@t154)) % 0.39/0.64 (step @p348 :rule reordering :premises (@p347) :args ((or @t149 @t130 (not @t154)))) % 0.39/0.64 (step @p349 :rule chain_m_resolution :premises (@p348 @p346 @p345) :args ((or @t130 @t150) (@list false true) (@list @t154 @t149))) % 0.39/0.64 (step @p350 :rule chain_m_resolution :premises (@p349 @p338) :args (@t130 @t82 (@list @t150))) % 0.39/0.64 (step @p351 :rule cnf_or_pos :args (@t135)) % 0.39/0.64 (step @p352 :rule reordering :premises (@p351) :args ((or @t101 @t133 @t131 @t128 (not @t135)))) % 0.39/0.64 (step @p353 :rule chain_m_resolution :premises (@p352 @p193 @p332 @p350 @p273) :args (@t128 (@list true false false false) (@list @t101 @t132 @t130 @t135))) % 0.39/0.64 (step @p354 :rule refl :args (@t155)) % 0.39/0.64 (step @p355 :rule bool-double-not-elim :args (@t120)) % 0.39/0.64 (step @p356 :rule nary_cong :premises (@p134 @p355 @p354) :args ((or @t116 (not @t121) @t155))) % 0.39/0.64 (assume-push @p449 @t128) % 0.39/0.64 (assume-push @p450 @t155) % 0.39/0.64 (step @p143 :rule evaluate :args (@t117)) % 0.39/0.64 (step @p359 :rule true_intro :premises (@p449)) % 0.39/0.64 (step @p360 :rule false_intro :premises (@p450)) % 0.39/0.64 (step @p361 :rule symm :premises (@p360)) % 0.39/0.64 (step @p362 :rule trans :premises (@p361 @p359)) % 0.39/0.64 (step @p363 false :rule eq_resolve :premises (@p362 @p143)) % 0.39/0.64 (step-pop @p451 :rule scope :premises (@p363)) % 0.39/0.64 (step-pop @p452 :rule scope :premises (@p451)) % 0.39/0.64 (step @p364 :rule process_scope :premises (@p452) :args (false)) % 0.39/0.64 (assume-push @p453 @t75) % 0.39/0.64 (assume-push @p454 @t121) % 0.39/0.64 (assume-push @p455 @t128) % 0.39/0.64 (assume-push @p456 @t121) % 0.39/0.64 (assume-push @p457 @t75) % 0.39/0.64 (step @p372 :rule false_intro :premises (@p454)) % 0.39/0.64 (step @p152 :rule symm :premises (@p76)) % 0.39/0.64 (step @p373 :rule refl :args (@t87)) % 0.39/0.64 (step @p148 :rule refl :args (@t69)) % 0.39/0.64 (step @p374 :rule cong :premises (@p148 @p373 @p152) :args (@t127)) % 0.39/0.64 (step @p375 :rule refl :args (@t112)) % 0.39/0.64 (step @p376 :rule cong :premises (@p375 @p374) :args (@t128)) % 0.39/0.64 (step @p377 :rule trans :premises (@p376 @p372)) % 0.39/0.64 (step @p378 :rule false_elim :premises (@p377)) % 0.39/0.64 (step-pop @p458 :rule scope :premises (@p378)) % 0.39/0.64 (step-pop @p459 :rule scope :premises (@p458)) % 0.39/0.64 (step @p379 :rule process_scope :premises (@p459) :args (@t155)) % 0.39/0.64 (step @p382 :rule and_intro :premises (@p454 @p76)) % 0.39/0.64 (step @p383 :rule modus_ponens :premises (@p382 @p379)) % 0.39/0.64 (step @p384 :rule and_intro :premises (@p455 @p383)) % 0.39/0.64 (step-pop @p460 :rule scope :premises (@p384)) % 0.39/0.64 (step-pop @p461 :rule scope :premises (@p460)) % 0.39/0.64 (step-pop @p462 :rule scope :premises (@p461)) % 0.39/0.64 (step @p385 :rule process_scope :premises (@p462) :args (@t156)) % 0.39/0.64 (step @p389 :rule implies_elim :premises (@p385)) % 0.39/0.64 (step @p390 :rule resolution :premises (@p389 @p364) :args (true @t156)) % 0.39/0.64 (step @p391 :rule not_and :premises (@p390)) % 0.39/0.64 (step @p392 :rule eq_resolve :premises (@p391 @p356)) % 0.39/0.64 (step @p393 :rule reordering :premises (@p392) :args ((or @t120 @t116 @t155))) % 0.39/0.64 (step @p394 false :rule chain_m_resolution :premises (@p393 @p353 @p239 @p76) :args (false (@list false true false) (@list @t128 @t120 @t75))) % 0.39/0.64 ) % 0.39/0.64 % SZS output end Proof % 0.39/0.64 % cvc5 exiting %------------------------------------------------------------------------------