%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV381+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 : n029.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 % 0.12/0.13 % Problem : SWV381+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.20/0.35 % Computer : n029.cluster.edu % 0.20/0.35 % Model : x86_64 x86_64 % 0.20/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.20/0.35 % Memory : 8042.1875MB % 0.20/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.20/0.36 % CPULimit : 300 % 0.20/0.36 % WCLimit : 300 % 0.20/0.36 % DateTime : Tue Jun 2 20:06:17 EDT 2026 % 0.21/0.36 % CPUTime : % 0.30/0.53 %----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 $$unsorted 0) % 0.39/0.64 (declare-const tptp.phi (-> $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.pi_removemin (-> $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.pi_sharp_removemin (-> $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.pi_find_min (-> $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.pi_remove (-> $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.i (-> $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.ok (-> $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.removemin_pq_res (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.removemin_pq_eff (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.pi_sharp_remove (-> $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.remove_pq (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.findmin_pq_res (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.issmallestelement_pq (-> $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.isnonempty_pq (-> $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.findmin_pq_eff (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.contains_pq (-> $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.pi_sharp_find_min (-> $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.create_pq $$unsorted) % 0.39/0.64 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.bottom $$unsorted) % 0.39/0.64 (declare-const tptp.insert_pq (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.create_slb $$unsorted) % 0.39/0.64 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.bad $$unsorted) % 0.39/0.64 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 0.39/0.64 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 0.39/0.64 (declare-const tptp.triple (-> $$unsorted $$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" $$unsorted)) % 0.39/0.64 (define @t4 () (tptp.less_than @t3 @t1)) % 0.39/0.64 (define @t5 () (tptp.less_than @t2 @t3)) % 0.39/0.64 (define @t6 () (@list @t2 @t3 @t1)) % 0.39/0.64 (define @t7 () (tptp.less_than @t3 @t2)) % 0.39/0.64 (define @t8 () (@list @t2 @t3)) % 0.39/0.64 (define @t9 () (@list @t2)) % 0.39/0.64 (define @t10 () (tptp.insert_pq @t2 @t3)) % 0.39/0.64 (define @t11 () (= @t3 @t1)) % 0.39/0.64 (define @t12 () (tptp.contains_pq @t2 @t1)) % 0.39/0.64 (define @t13 () (@list @t1)) % 0.39/0.64 (define @t14 () (forall @t13 (=> @t12 @t4))) % 0.39/0.64 (define @t15 () (tptp.issmallestelement_pq @t2 @t3)) % 0.39/0.64 (define @t16 () (= @t15 @t14)) % 0.39/0.64 (define @t17 () (forall @t8 @t16)) % 0.39/0.64 (define @t18 () (not @t11)) % 0.39/0.64 (define @t19 () (tptp.contains_pq @t2 @t3)) % 0.39/0.64 (define @t20 () (and @t19 @t15)) % 0.39/0.64 (define @t21 () (tptp.pair @t3 @t1)) % 0.39/0.64 (define @t22 () (tptp.insert_slb @t2 @t21)) % 0.39/0.64 (define @t23 () (tptp.contains_slb @t2 @t1)) % 0.39/0.64 (define @t24 () (@var "X" $$unsorted)) % 0.39/0.64 (define @t25 () (tptp.pair @t3 @t24)) % 0.39/0.64 (define @t26 () (tptp.insert_slb @t2 @t25)) % 0.39/0.64 (define @t27 () (@list @t2 @t3 @t1 @t24)) % 0.39/0.64 (define @t28 () (@var "Y" $$unsorted)) % 0.39/0.64 (define @t29 () (@list @t2 @t3 @t1 @t24 @t28)) % 0.39/0.64 (define @t30 () (and @t18 @t23)) % 0.39/0.64 (define @t31 () (tptp.update_slb @t2 @t1)) % 0.39/0.64 (define @t32 () (tptp.update_slb @t26 @t1)) % 0.39/0.64 (define @t33 () (tptp.succ_cpq @t2 @t3)) % 0.39/0.64 (define @t34 () (tptp.triple @t2 tptp.create_slb @t3)) % 0.39/0.64 (define @t35 () (tptp.triple @t2 @t3 @t1)) % 0.39/0.64 (define @t36 () (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t24 @t28)) @t1)) % 0.39/0.64 (define @t37 () (tptp.check_cpq @t36)) % 0.39/0.64 (define @t38 () (tptp.contains_slb @t3 @t24)) % 0.39/0.64 (define @t39 () (tptp.contains_cpq @t35 @t24)) % 0.39/0.64 (define @t40 () (tptp.triple @t2 @t3 tptp.bad)) % 0.39/0.64 (define @t41 () (tptp.remove_cpq @t35 @t24)) % 0.39/0.64 (define @t42 () (tptp.remove_slb @t3 @t24)) % 0.39/0.64 (define @t43 () (tptp.remove_pqp @t2 @t24)) % 0.39/0.64 (define @t44 () (tptp.lookup_slb @t3 @t24)) % 0.39/0.64 (define @t45 () (tptp.findmin_pqp_res @t2)) % 0.39/0.64 (define @t46 () (tptp.update_slb @t3 @t45)) % 0.39/0.64 (define @t47 () (tptp.findmin_cpq_eff @t35)) % 0.39/0.64 (define @t48 () (= @t47 (tptp.triple @t2 @t46 tptp.bad))) % 0.39/0.64 (define @t49 () (tptp.contains_slb @t3 @t45)) % 0.39/0.64 (define @t50 () (not (= @t3 tptp.create_slb))) % 0.39/0.64 (define @t51 () (tptp.lookup_slb @t3 @t45)) % 0.39/0.64 (define @t52 () (tptp.findmin_cpq_res @t35)) % 0.39/0.64 (define @t53 () (tptp.findmin_cpq_res @t2)) % 0.39/0.64 (define @t54 () (tptp.i @t35)) % 0.39/0.64 (define @t55 () (tptp.i @t2)) % 0.39/0.64 (define @t56 () (@list @t3)) % 0.39/0.64 (define @t57 () (exists @t56 (tptp.pi_sharp_find_min @t55 @t3))) % 0.39/0.64 (define @t58 () (forall @t27 (= @t39 (tptp.contains_pq @t54 @t24)))) % 0.39/0.64 (define @t59 () (tptp.phi @t47)) % 0.39/0.64 (define @t60 () (not @t59)) % 0.39/0.64 (define @t61 () (tptp.strictly_less_than @t24 @t52)) % 0.39/0.64 (define @t62 () (and @t39 @t61)) % 0.39/0.64 (define @t63 () (@list @t24)) % 0.39/0.64 (define @t64 () (exists @t63 @t62)) % 0.39/0.64 (define @t65 () (=> @t64 @t60)) % 0.39/0.64 (define @t66 () (forall @t6 @t65)) % 0.39/0.64 (define @t67 () (tptp.issmallestelement_pq @t54 @t52)) % 0.39/0.64 (define @t68 () (forall @t6 (=> @t59 @t67))) % 0.39/0.64 (define @t69 () (not @t68)) % 0.39/0.64 (define @t70 () (@var "BOUND_VARIABLE_7971" $$unsorted)) % 0.39/0.64 (define @t71 () (not (tptp.strictly_less_than @t70 @t52))) % 0.39/0.64 (define @t72 () (not (tptp.contains_cpq @t35 @t70))) % 0.39/0.64 (define @t73 () (or @t60 @t72 @t71)) % 0.39/0.64 (define @t74 () (or @t72 @t71)) % 0.39/0.64 (define @t75 () (or @t74 @t60)) % 0.39/0.64 (define @t76 () (@list @t2 @t3 @t1 @t70)) % 0.39/0.64 (define @t77 () (forall @t76 @t75)) % 0.39/0.64 (define @t78 () (@list @t70)) % 0.39/0.64 (define @t79 () (forall @t78 @t75)) % 0.39/0.64 (define @t80 () (forall @t78 @t74)) % 0.39/0.64 (define @t81 () (or @t80 @t60)) % 0.39/0.64 (define @t82 () (forall @t63 (or (not @t39) (not @t61)))) % 0.39/0.64 (define @t83 () (not @t82)) % 0.39/0.64 (define @t84 () (forall @t63 (not @t62))) % 0.39/0.64 (define @t85 () (not @t84)) % 0.39/0.64 (define @t86 () (forall @t6 (or @t60 @t67))) % 0.39/0.64 (define @t87 () (@quantifiers_skolemize @t86 2)) % 0.39/0.64 (define @t88 () (@quantifiers_skolemize @t86 1)) % 0.39/0.64 (define @t89 () (@quantifiers_skolemize @t86 0)) % 0.39/0.64 (define @t90 () (tptp.triple @t89 @t88 @t87)) % 0.39/0.64 (define @t91 () (tptp.findmin_cpq_res @t90)) % 0.39/0.64 (define @t92 () (tptp.i @t90)) % 0.39/0.64 (define @t93 () (forall @t13 (or (not (tptp.contains_pq @t92 @t1)) (tptp.less_than @t91 @t1)))) % 0.39/0.64 (define @t94 () (@quantifiers_skolemize @t93 0)) % 0.39/0.64 (define @t95 () (tptp.contains_cpq @t90 @t94)) % 0.39/0.64 (define @t96 () (tptp.contains_pq @t92 @t94)) % 0.39/0.64 (define @t97 () (= @t95 @t96)) % 0.39/0.64 (define @t98 () (@list @t89 @t88 @t87 @t94)) % 0.39/0.64 (define @t99 () (= @t96 @t95)) % 0.39/0.64 (define @t100 () (tptp.issmallestelement_pq @t92 @t91)) % 0.39/0.64 (define @t101 () (tptp.phi (tptp.findmin_cpq_eff @t90))) % 0.39/0.64 (define @t102 () (not @t101)) % 0.39/0.64 (define @t103 () (or @t102 @t100)) % 0.39/0.64 (define @t104 () (@list true)) % 0.39/0.64 (define @t105 () (@list @t103)) % 0.39/0.64 (define @t106 () (= @t100 @t93)) % 0.39/0.64 (define @t107 () (not @t93)) % 0.39/0.64 (define @t108 () (@list true false)) % 0.39/0.64 (define @t109 () (tptp.less_than @t91 @t94)) % 0.39/0.64 (define @t110 () (not @t96)) % 0.39/0.64 (define @t111 () (or @t110 @t109)) % 0.39/0.64 (define @t112 () (@list @t111)) % 0.39/0.64 (define @t113 () (@list false false)) % 0.39/0.64 (define @t114 () (not @t109)) % 0.39/0.64 (define @t115 () (tptp.less_than @t94 @t91)) % 0.39/0.64 (define @t116 () (or @t109 @t115)) % 0.39/0.64 (define @t117 () (not @t115)) % 0.39/0.64 (define @t118 () (and @t115 @t114)) % 0.39/0.64 (define @t119 () (tptp.strictly_less_than @t94 @t91)) % 0.39/0.64 (define @t120 () (= @t119 @t118)) % 0.39/0.64 (define @t121 () (not @t119)) % 0.39/0.64 (define @t122 () (not @t95)) % 0.39/0.64 (define @t123 () (or @t102 @t122 @t121)) % 0.39/0.64 (define @t124 () (not @t123)) % 0.39/0.64 (define @t125 () (forall @t76 @t73)) % 0.39/0.64 (assume @p1 (forall @t6 (=> (and @t5 @t4) (tptp.less_than @t2 @t1)))) % 0.39/0.64 (assume @p2 (forall @t8 (or @t5 @t7))) % 0.39/0.64 (assume @p3 (forall @t9 (tptp.less_than @t2 @t2))) % 0.39/0.64 (assume @p4 (forall @t8 (= (tptp.strictly_less_than @t2 @t3) (and @t5 (not @t7))))) % 0.39/0.64 (assume @p5 (forall @t9 (tptp.less_than tptp.bottom @t2))) % 0.39/0.64 (assume @p6 (not (tptp.isnonempty_pq tptp.create_pq))) % 0.39/0.64 (assume @p7 (forall @t8 (tptp.isnonempty_pq @t10))) % 0.39/0.64 (assume @p8 (forall @t9 (not (tptp.contains_pq tptp.create_pq @t2)))) % 0.39/0.64 (assume @p9 (forall @t6 (= (tptp.contains_pq @t10 @t1) (or @t12 @t11)))) % 0.39/0.64 (assume @p10 @t17) % 0.39/0.64 (assume @p11 (forall @t8 (= (tptp.remove_pq @t10 @t3) @t2))) % 0.39/0.64 (assume @p12 (forall @t6 (=> (and @t12 @t18) (= (tptp.remove_pq @t10 @t1) (tptp.insert_pq (tptp.remove_pq @t2 @t1) @t3))))) % 0.39/0.64 (assume @p13 (forall @t8 (=> @t20 (= (tptp.findmin_pq_eff @t2 @t3) @t2)))) % 0.39/0.64 (assume @p14 (forall @t8 (=> @t20 (= (tptp.findmin_pq_res @t2 @t3) @t3)))) % 0.39/0.64 (assume @p15 (forall @t8 (=> @t20 (= (tptp.removemin_pq_eff @t2 @t3) (tptp.remove_pq @t2 @t3))))) % 0.39/0.64 (assume @p16 (forall @t8 (=> @t20 (= (tptp.removemin_pq_res @t2 @t3) @t3)))) % 0.39/0.64 (assume @p17 (forall @t6 (= (tptp.insert_pq @t10 @t1) (tptp.insert_pq (tptp.insert_pq @t2 @t1) @t3)))) % 0.39/0.64 (assume @p18 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.39/0.64 (assume @p19 (forall @t6 (tptp.isnonempty_slb @t22))) % 0.39/0.64 (assume @p20 (forall @t9 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.39/0.64 (assume @p21 (forall @t27 (= (tptp.contains_slb @t26 @t1) (or @t23 @t11)))) % 0.39/0.64 (assume @p22 (forall @t8 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.39/0.64 (assume @p23 (forall @t29 (= (tptp.pair_in_list @t26 @t1 @t28) (or (tptp.pair_in_list @t2 @t1 @t28) (and @t11 (= @t24 @t28)))))) % 0.39/0.64 (assume @p24 (forall @t6 (= (tptp.remove_slb @t22 @t3) @t2))) % 0.39/0.64 (assume @p25 (forall @t27 (=> @t30 (= (tptp.remove_slb @t26 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t25))))) % 0.39/0.64 (assume @p26 (forall @t6 (= (tptp.lookup_slb @t22 @t3) @t1))) % 0.39/0.64 (assume @p27 (forall @t27 (=> @t30 (= (tptp.lookup_slb @t26 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.39/0.64 (assume @p28 (forall @t9 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.39/0.64 (assume @p29 (forall @t27 (=> (tptp.strictly_less_than @t24 @t1) (= @t32 (tptp.insert_slb @t31 @t21))))) % 0.39/0.64 (assume @p30 (forall @t27 (=> (tptp.less_than @t1 @t24) (= @t32 (tptp.insert_slb @t31 @t25))))) % 0.39/0.64 (assume @p31 (forall @t9 (tptp.succ_cpq @t2 @t2))) % 0.39/0.64 (assume @p32 (forall @t6 (=> @t33 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1))))) % 0.39/0.64 (assume @p33 (forall @t6 (=> @t33 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1))))) % 0.39/0.64 (assume @p34 (forall @t8 (=> @t33 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3))))) % 0.39/0.64 (assume @p35 (forall @t8 (=> @t33 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3))))) % 0.39/0.64 (assume @p36 (forall @t8 (tptp.check_cpq @t34))) % 0.39/0.64 (assume @p37 (forall @t29 (=> (tptp.less_than @t28 @t24) (= @t37 (tptp.check_cpq @t35))))) % 0.39/0.64 (assume @p38 (forall @t29 (=> (tptp.strictly_less_than @t24 @t28) (= @t37 false)))) % 0.39/0.64 (assume @p39 (forall @t27 (= @t39 @t38))) % 0.39/0.64 (assume @p40 (forall @t8 (= (tptp.ok @t40) false))) % 0.39/0.64 (assume @p41 (forall @t6 (=> (not (tptp.ok @t35)) (= @t1 tptp.bad)))) % 0.39/0.64 (assume @p42 (forall @t27 (= (tptp.insert_cpq @t35 @t24) (tptp.triple (tptp.insert_pqp @t2 @t24) (tptp.insert_slb @t3 (tptp.pair @t24 tptp.bottom)) @t1)))) % 0.39/0.64 (assume @p43 (forall @t27 (=> (not @t38) (= @t41 @t40)))) % 0.39/0.64 (assume @p44 (forall @t27 (=> (and @t38 (tptp.less_than @t44 @t24)) (= @t41 (tptp.triple @t43 @t42 @t1))))) % 0.39/0.64 (assume @p45 (forall @t27 (=> (and @t38 (tptp.strictly_less_than @t24 @t44)) (= @t41 (tptp.triple @t43 @t42 tptp.bad))))) % 0.39/0.64 (assume @p46 (forall @t8 (= (tptp.findmin_cpq_eff @t34) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 0.39/0.64 (assume @p47 (forall @t27 (=> (and @t50 (not @t49)) @t48))) % 0.39/0.64 (assume @p48 (forall @t27 (=> (and @t50 @t49 (tptp.strictly_less_than @t45 @t51)) @t48))) % 0.39/0.64 (assume @p49 (forall @t27 (=> (and @t50 @t49 (tptp.less_than @t51 @t45)) (= @t47 (tptp.triple @t2 @t46 @t1))))) % 0.39/0.64 (assume @p50 (forall @t8 (= (tptp.findmin_cpq_res @t34) tptp.bottom))) % 0.39/0.64 (assume @p51 (forall @t27 (=> @t50 (= @t52 @t45)))) % 0.39/0.64 (assume @p52 (forall @t9 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t53)))) % 0.39/0.64 (assume @p53 (forall @t9 (= (tptp.removemin_cpq_res @t2) @t53))) % 0.39/0.64 (assume @p54 (forall @t8 (= (tptp.i @t34) tptp.create_pq))) % 0.39/0.64 (assume @p55 (forall @t29 (= (tptp.i @t36) (tptp.insert_pq @t54 @t24)))) % 0.39/0.64 (assume @p56 (forall @t8 (= (tptp.pi_sharp_remove @t2 @t3) @t19))) % 0.39/0.64 (assume @p57 (forall @t8 (= (tptp.pi_remove @t2 @t3) (tptp.pi_sharp_remove @t55 @t3)))) % 0.39/0.64 (assume @p58 (forall @t8 (= (tptp.pi_sharp_find_min @t2 @t3) @t20))) % 0.39/0.64 (assume @p59 (forall @t9 (= (tptp.pi_find_min @t2) @t57))) % 0.39/0.64 (assume @p60 (forall @t8 (= (tptp.pi_sharp_removemin @t2 @t3) @t20))) % 0.39/0.64 (assume @p61 (forall @t9 (= (tptp.pi_removemin @t2) @t57))) % 0.39/0.64 (assume @p62 (forall @t9 (= (tptp.phi @t2) (exists @t56 (and @t33 (tptp.ok @t3) (tptp.check_cpq @t3)))))) % 0.39/0.64 (assume @p63 @t58) % 0.39/0.64 (assume @p64 @t66) % 0.39/0.64 (assume @p65 @t69) % 0.39/0.64 (assume @p66 true) % 0.39/0.64 (step @p67 :rule aci_norm :args ((= @t75 @t73))) % 0.39/0.64 (step @p68 :rule cong :premises (@p67) :args (@t77)) % 0.39/0.64 (step @p69 :rule quant-merge-prenex :args ((= (forall @t6 @t79) @t77))) % 0.39/0.64 (step @p70 :rule refl :args (@t60)) % 0.39/0.64 (step @p71 :rule alpha_equiv :args (@t80 (@list @t70) (@list @t24))) % 0.39/0.64 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t81)) % 0.39/0.64 (step @p73 :rule quant-miniscope-or :args ((= @t79 @t81))) % 0.39/0.64 (step @p74 :rule trans :premises (@p73 @p72)) % 0.39/0.64 (step @p75 :rule symm :premises (@p74)) % 0.39/0.64 (step @p76 :rule cong :premises (@p75) :args ((forall @t6 (or @t82 @t60)))) % 0.39/0.64 (step @p77 :rule trans :premises (@p76 @p69)) % 0.39/0.64 (step @p78 :rule trans :premises (@p77 @p68)) % 0.39/0.64 (step @p79 :rule bool-double-not-elim :args (@t82)) % 0.39/0.64 (step @p80 :rule nary_cong :premises (@p79 @p70) :args ((or (not @t83) @t60))) % 0.39/0.64 (step @p81 :rule bool-impl-elim :args (@t83 @t60)) % 0.39/0.64 (step @p82 :rule trans :premises (@p81 @p80)) % 0.39/0.64 (step @p83 :rule cong :premises (@p82) :args ((forall @t6 (=> @t83 @t60)))) % 0.39/0.64 (step @p84 :rule trans :premises (@p83 @p78)) % 0.39/0.64 (step @p85 :rule refl :args (@t60)) % 0.39/0.64 (step @p86 :rule bool-and-de-morgan :args (@t39 @t61 true)) % 0.39/0.64 (step @p87 :rule cong :premises (@p86) :args (@t84)) % 0.39/0.64 (step @p88 :rule cong :premises (@p87) :args (@t85)) % 0.39/0.64 (step @p89 :rule exists-elim :args ((= @t64 @t85))) % 0.39/0.64 (step @p90 :rule trans :premises (@p89 @p88)) % 0.39/0.64 (step @p91 :rule cong :premises (@p90 @p85) :args (@t65)) % 0.39/0.64 (step @p92 :rule cong :premises (@p91) :args (@t66)) % 0.39/0.64 (step @p93 :rule trans :premises (@p92 @p84)) % 0.39/0.64 (step @p94 :rule eq_resolve :premises (@p64 @p93)) % 0.39/0.64 (step @p95 :rule eq-symm :args (@t95 @t96)) % 0.39/0.64 (step @p96 :rule refl :args (@t58)) % 0.39/0.64 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t58 @t97))) % 0.39/0.64 (assume-push @p167 @t58) % 0.39/0.64 (step @p99 :rule instantiate :premises (@p63) :args (@t98)) % 0.39/0.64 (step-pop @p168 :rule scope :premises (@p99)) % 0.39/0.64 (step @p100 :rule process_scope :premises (@p168) :args (@t97)) % 0.39/0.64 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 0.39/0.64 (step @p103 :rule implies_elim :premises (@p102)) % 0.39/0.64 (step @p104 :rule chain_m_resolution :premises (@p103 @p63) :args (@t99 (@list false) (@list @t58))) % 0.39/0.64 (step @p105 :rule bool-impl-elim :args (@t12 @t4)) % 0.39/0.64 (step @p106 :rule cong :premises (@p105) :args (@t14)) % 0.39/0.64 (step @p107 :rule refl :args (@t15)) % 0.39/0.64 (step @p108 :rule cong :premises (@p107 @p106) :args (@t16)) % 0.39/0.64 (step @p109 :rule cong :premises (@p108) :args (@t17)) % 0.39/0.64 (step @p110 :rule eq_resolve :premises (@p10 @p109)) % 0.39/0.64 (step @p111 :rule instantiate :premises (@p110) :args ((@list @t92 @t91))) % 0.39/0.64 (step @p112 :rule bool-impl-elim :args (@t59 @t67)) % 0.39/0.64 (step @p113 :rule cong :premises (@p112) :args (@t68)) % 0.39/0.64 (step @p114 :rule cong :premises (@p113) :args (@t69)) % 0.39/0.64 (step @p115 :rule eq_resolve :premises (@p65 @p114)) % 0.39/0.64 (step @p116 :rule skolemize :premises (@p115)) % 0.39/0.64 (step @p117 :rule cnf_or_neg :args (@t103 1)) % 0.39/0.64 (step @p118 :rule chain_m_resolution :premises (@p117 @p116) :args ((not @t100) @t104 @t105)) % 0.39/0.64 (step @p119 :rule cnf_equiv_pos2 :args (@t106)) % 0.39/0.64 (step @p120 :rule reordering :premises (@p119) :args ((or @t100 @t107 (not @t106)))) % 0.39/0.64 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p111) :args (@t107 @t108 (@list @t100 @t106))) % 0.39/0.64 (step @p122 :rule skolemize :premises (@p121)) % 0.39/0.64 (step @p123 :rule bool-double-not-elim :args (@t96)) % 0.39/0.64 (step @p124 :rule refl :args (@t111)) % 0.39/0.64 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t111 (not @t110)))) % 0.39/0.64 (step @p126 :rule cnf_or_neg :args (@t111 0)) % 0.39/0.65 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 0.39/0.65 (step @p128 :rule reordering :premises (@p127) :args ((or @t96 @t111))) % 0.39/0.65 (step @p129 :rule chain_m_resolution :premises (@p128 @p122) :args (@t96 @t104 @t112)) % 0.39/0.65 (step @p130 :rule cnf_equiv_pos1 :args (@t99)) % 0.39/0.65 (step @p131 :rule reordering :premises (@p130) :args ((or @t110 @t95 (not @t99)))) % 0.39/0.65 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p104) :args (@t95 @t113 (@list @t96 @t99))) % 0.39/0.65 (step @p133 :rule instantiate :premises (@p4) :args ((@list @t94 @t91))) % 0.39/0.65 (step @p134 :rule instantiate :premises (@p2) :args ((@list @t91 @t94))) % 0.39/0.65 (step @p135 :rule cnf_or_neg :args (@t111 1)) % 0.39/0.65 (step @p136 :rule chain_m_resolution :premises (@p135 @p122) :args (@t114 @t104 @t112)) % 0.39/0.65 (step @p137 :rule cnf_or_pos :args (@t116)) % 0.39/0.65 (step @p138 :rule reordering :premises (@p137) :args ((or @t109 @t115 (not @t116)))) % 0.39/0.65 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p134) :args (@t115 @t108 (@list @t109 @t116))) % 0.39/0.65 (step @p140 :rule bool-double-not-elim :args (@t109)) % 0.39/0.65 (step @p141 :rule refl :args (@t117)) % 0.39/0.65 (step @p142 :rule refl :args (@t118)) % 0.39/0.65 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140) :args ((or @t118 @t117 (not @t114)))) % 0.39/0.65 (step @p144 :rule cnf_and_neg :args (@t118)) % 0.39/0.65 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.39/0.65 (step @p146 :rule reordering :premises (@p145) :args ((or @t109 @t117 @t118))) % 0.39/0.65 (step @p147 :rule chain_m_resolution :premises (@p146 @p136 @p139) :args (@t118 @t108 (@list @t109 @t115))) % 0.39/0.65 (step @p148 :rule cnf_equiv_pos2 :args (@t120)) % 0.39/0.65 (step @p149 :rule reordering :premises (@p148) :args ((or @t119 (not @t118) (not @t120)))) % 0.39/0.65 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p133) :args (@t119 @t113 (@list @t118 @t120))) % 0.39/0.65 (step @p151 :rule bool-double-not-elim :args (@t101)) % 0.39/0.65 (step @p152 :rule refl :args (@t103)) % 0.39/0.65 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or @t103 (not @t102)))) % 0.39/0.65 (step @p154 :rule cnf_or_neg :args (@t103 0)) % 0.39/0.65 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 0.39/0.65 (step @p156 :rule reordering :premises (@p155) :args ((or @t101 @t103))) % 0.39/0.65 (step @p157 :rule chain_m_resolution :premises (@p156 @p116) :args (@t101 @t104 @t105)) % 0.39/0.65 (step @p158 :rule cnf_or_pos :args (@t123)) % 0.39/0.65 (step @p159 :rule reordering :premises (@p158) :args ((or @t102 @t121 @t122 @t124))) % 0.39/0.65 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p150 @p132) :args (@t124 (@list false false false) (@list @t101 @t119 @t95))) % 0.39/0.65 (assume-push @p169 @t125) % 0.39/0.65 (step @p162 :rule instantiate :premises (@p94) :args (@t98)) % 0.39/0.65 (step-pop @p170 :rule scope :premises (@p162)) % 0.39/0.65 (step @p163 :rule process_scope :premises (@p170) :args (@t123)) % 0.39/0.65 (step @p165 :rule implies_elim :premises (@p163)) % 0.39/0.65 (step @p166 false :rule chain_m_resolution :premises (@p165 @p160 @p94) :args (false @t108 (@list @t123 @t125))) % 0.39/0.65 ) % 0.39/0.65 % SZS output end Proof % 0.39/0.65 % cvc5 exiting %------------------------------------------------------------------------------