%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV417+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:01:24 AM UTC 2026 % Result : Theorem 0.38s 0.63s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV417+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 : n015.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 % 0.20/0.35 % CPULimit : 300 % 0.20/0.35 % WCLimit : 300 % 0.20/0.35 % DateTime : Tue Jun 2 20:07:19 EDT 2026 % 0.20/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.63 % SZS status Theorem % 0.38/0.63 % SZS output start Proof % 0.38/0.63 ( % 0.38/0.63 (declare-sort $$unsorted 0) % 0.38/0.63 (declare-const tptp.phi (-> $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.pi_removemin (-> $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.pi_sharp_removemin (-> $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.pi_find_min (-> $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.pi_remove (-> $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.i (-> $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.ok (-> $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.removemin_pq_res (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.removemin_pq_eff (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.pi_sharp_remove (-> $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.remove_pq (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.findmin_pq_res (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.issmallestelement_pq (-> $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.isnonempty_pq (-> $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.findmin_pq_eff (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.contains_pq (-> $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.pi_sharp_find_min (-> $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.create_pq $$unsorted) % 0.38/0.63 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.bottom $$unsorted) % 0.38/0.63 (declare-const tptp.insert_pq (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.create_slb $$unsorted) % 0.38/0.63 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.bad $$unsorted) % 0.38/0.63 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (define @t1 () (@var "W" $$unsorted)) % 0.38/0.63 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.63 (define @t3 () (@var "V" $$unsorted)) % 0.38/0.63 (define @t4 () (tptp.less_than @t3 @t1)) % 0.38/0.63 (define @t5 () (tptp.less_than @t2 @t3)) % 0.38/0.63 (define @t6 () (@list @t2 @t3 @t1)) % 0.38/0.63 (define @t7 () (tptp.less_than @t3 @t2)) % 0.38/0.63 (define @t8 () (@list @t2 @t3)) % 0.38/0.63 (define @t9 () (@list @t2)) % 0.38/0.63 (define @t10 () (tptp.insert_pq @t2 @t3)) % 0.38/0.63 (define @t11 () (= @t3 @t1)) % 0.38/0.63 (define @t12 () (tptp.contains_pq @t2 @t1)) % 0.38/0.63 (define @t13 () (tptp.issmallestelement_pq @t2 @t3)) % 0.38/0.63 (define @t14 () (not @t11)) % 0.38/0.63 (define @t15 () (tptp.contains_pq @t2 @t3)) % 0.38/0.63 (define @t16 () (and @t15 @t13)) % 0.38/0.63 (define @t17 () (tptp.findmin_pq_res @t2 @t3)) % 0.38/0.63 (define @t18 () (=> @t16 (= @t17 @t3))) % 0.38/0.63 (define @t19 () (forall @t8 @t18)) % 0.38/0.63 (define @t20 () (tptp.pair @t3 @t1)) % 0.38/0.63 (define @t21 () (tptp.insert_slb @t2 @t20)) % 0.38/0.63 (define @t22 () (tptp.contains_slb @t2 @t1)) % 0.38/0.63 (define @t23 () (@var "X" $$unsorted)) % 0.38/0.63 (define @t24 () (tptp.pair @t3 @t23)) % 0.38/0.63 (define @t25 () (tptp.insert_slb @t2 @t24)) % 0.38/0.63 (define @t26 () (@list @t2 @t3 @t1 @t23)) % 0.38/0.63 (define @t27 () (@var "Y" $$unsorted)) % 0.38/0.63 (define @t28 () (@list @t2 @t3 @t1 @t23 @t27)) % 0.38/0.63 (define @t29 () (and @t14 @t22)) % 0.38/0.63 (define @t30 () (tptp.update_slb @t2 @t1)) % 0.38/0.63 (define @t31 () (tptp.update_slb @t25 @t1)) % 0.38/0.63 (define @t32 () (tptp.succ_cpq @t2 @t3)) % 0.38/0.63 (define @t33 () (tptp.triple @t2 tptp.create_slb @t3)) % 0.38/0.63 (define @t34 () (tptp.triple @t2 @t3 @t1)) % 0.38/0.63 (define @t35 () (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t23 @t27)) @t1)) % 0.38/0.63 (define @t36 () (tptp.check_cpq @t35)) % 0.38/0.63 (define @t37 () (tptp.contains_slb @t3 @t23)) % 0.38/0.63 (define @t38 () (tptp.triple @t2 @t3 tptp.bad)) % 0.38/0.63 (define @t39 () (tptp.remove_cpq @t34 @t23)) % 0.38/0.63 (define @t40 () (tptp.remove_slb @t3 @t23)) % 0.38/0.63 (define @t41 () (tptp.remove_pqp @t2 @t23)) % 0.38/0.63 (define @t42 () (tptp.lookup_slb @t3 @t23)) % 0.38/0.63 (define @t43 () (tptp.findmin_pqp_res @t2)) % 0.38/0.63 (define @t44 () (tptp.update_slb @t3 @t43)) % 0.38/0.63 (define @t45 () (tptp.findmin_cpq_eff @t34)) % 0.38/0.63 (define @t46 () (= @t45 (tptp.triple @t2 @t44 tptp.bad))) % 0.38/0.63 (define @t47 () (tptp.contains_slb @t3 @t43)) % 0.38/0.63 (define @t48 () (not (= @t3 tptp.create_slb))) % 0.38/0.63 (define @t49 () (tptp.lookup_slb @t3 @t43)) % 0.38/0.63 (define @t50 () (tptp.findmin_cpq_res @t34)) % 0.38/0.63 (define @t51 () (tptp.findmin_cpq_res @t2)) % 0.38/0.63 (define @t52 () (tptp.i @t34)) % 0.38/0.63 (define @t53 () (tptp.i @t2)) % 0.38/0.63 (define @t54 () (tptp.pi_sharp_find_min @t2 @t3)) % 0.38/0.63 (define @t55 () (forall @t8 (= @t54 @t16))) % 0.38/0.63 (define @t56 () (@list @t3)) % 0.38/0.63 (define @t57 () (exists @t56 (tptp.pi_sharp_find_min @t53 @t3))) % 0.38/0.63 (define @t58 () (tptp.pi_sharp_find_min @t52 @t50)) % 0.38/0.63 (define @t59 () (tptp.phi @t45)) % 0.38/0.63 (define @t60 () (forall @t6 (=> @t59 @t58))) % 0.38/0.63 (define @t61 () (= @t50 (tptp.findmin_pq_res @t52 @t23))) % 0.38/0.63 (define @t62 () (tptp.pi_sharp_find_min @t52 @t23)) % 0.38/0.63 (define @t63 () (and @t62 @t61)) % 0.38/0.63 (define @t64 () (@list @t23)) % 0.38/0.63 (define @t65 () (exists @t64 @t63)) % 0.38/0.63 (define @t66 () (=> @t59 @t65)) % 0.38/0.63 (define @t67 () (tptp.pi_find_min @t34)) % 0.38/0.63 (define @t68 () (=> @t67 @t66)) % 0.38/0.63 (define @t69 () (forall @t6 @t68)) % 0.38/0.63 (define @t70 () (not @t69)) % 0.38/0.63 (define @t71 () (= @t3 @t17)) % 0.38/0.63 (define @t72 () (not @t13)) % 0.38/0.63 (define @t73 () (not @t15)) % 0.38/0.63 (define @t74 () (or @t73 @t72 @t71)) % 0.38/0.63 (define @t75 () (not (forall @t64 (or (not @t62) (not @t61))))) % 0.38/0.63 (define @t76 () (not @t59)) % 0.38/0.63 (define @t77 () (not @t67)) % 0.38/0.63 (define @t78 () (or @t77 @t76 @t75)) % 0.38/0.63 (define @t79 () (forall @t6 @t78)) % 0.38/0.63 (define @t80 () (@quantifiers_skolemize @t79 2)) % 0.38/0.63 (define @t81 () (@quantifiers_skolemize @t79 1)) % 0.38/0.63 (define @t82 () (@quantifiers_skolemize @t79 0)) % 0.38/0.63 (define @t83 () (tptp.triple @t82 @t81 @t80)) % 0.38/0.63 (define @t84 () (tptp.findmin_cpq_res @t83)) % 0.38/0.63 (define @t85 () (tptp.i @t83)) % 0.38/0.63 (define @t86 () (tptp.issmallestelement_pq @t85 @t84)) % 0.38/0.63 (define @t87 () (tptp.contains_pq @t85 @t84)) % 0.38/0.63 (define @t88 () (and @t87 @t86)) % 0.38/0.63 (define @t89 () (tptp.pi_sharp_find_min @t85 @t84)) % 0.38/0.63 (define @t90 () (forall @t8 (= @t16 @t54))) % 0.38/0.63 (define @t91 () (= @t88 @t89)) % 0.38/0.63 (define @t92 () (@list @t85 @t84)) % 0.38/0.63 (define @t93 () (= @t89 @t88)) % 0.38/0.63 (define @t94 () (@list false)) % 0.38/0.63 (define @t95 () (=> @t59 @t75)) % 0.38/0.63 (define @t96 () (forall @t64 (not @t63))) % 0.38/0.63 (define @t97 () (not @t96)) % 0.38/0.63 (define @t98 () (tptp.phi (tptp.findmin_cpq_eff @t83))) % 0.38/0.63 (define @t99 () (forall @t64 (or (not (tptp.pi_sharp_find_min @t85 @t23)) (not (= @t84 (tptp.findmin_pq_res @t85 @t23)))))) % 0.38/0.63 (define @t100 () (not @t99)) % 0.38/0.63 (define @t101 () (not @t98)) % 0.38/0.63 (define @t102 () (or (not (tptp.pi_find_min @t83)) @t101 @t100)) % 0.38/0.63 (define @t103 () (@list true)) % 0.38/0.63 (define @t104 () (@list @t102)) % 0.38/0.63 (define @t105 () (or @t101 @t89)) % 0.38/0.63 (define @t106 () (@list false false)) % 0.38/0.63 (define @t107 () (not @t89)) % 0.38/0.63 (define @t108 () (not @t88)) % 0.38/0.63 (define @t109 () (@list @t88)) % 0.38/0.63 (define @t110 () (= @t84 (tptp.findmin_pq_res @t85 @t84))) % 0.38/0.63 (define @t111 () (not @t110)) % 0.38/0.63 (define @t112 () (or @t107 @t111)) % 0.38/0.63 (define @t113 () (not @t86)) % 0.38/0.63 (define @t114 () (not @t87)) % 0.38/0.63 (define @t115 () (or @t114 @t113 @t110)) % 0.38/0.63 (define @t116 () (not @t115)) % 0.38/0.63 (define @t117 () (forall @t8 @t74)) % 0.38/0.63 (assume @p1 (forall @t6 (=> (and @t5 @t4) (tptp.less_than @t2 @t1)))) % 0.38/0.63 (assume @p2 (forall @t8 (or @t5 @t7))) % 0.38/0.63 (assume @p3 (forall @t9 (tptp.less_than @t2 @t2))) % 0.38/0.63 (assume @p4 (forall @t8 (= (tptp.strictly_less_than @t2 @t3) (and @t5 (not @t7))))) % 0.38/0.63 (assume @p5 (forall @t9 (tptp.less_than tptp.bottom @t2))) % 0.38/0.63 (assume @p6 (not (tptp.isnonempty_pq tptp.create_pq))) % 0.38/0.63 (assume @p7 (forall @t8 (tptp.isnonempty_pq @t10))) % 0.38/0.63 (assume @p8 (forall @t9 (not (tptp.contains_pq tptp.create_pq @t2)))) % 0.38/0.63 (assume @p9 (forall @t6 (= (tptp.contains_pq @t10 @t1) (or @t12 @t11)))) % 0.38/0.63 (assume @p10 (forall @t8 (= @t13 (forall (@list @t1) (=> @t12 @t4))))) % 0.38/0.63 (assume @p11 (forall @t8 (= (tptp.remove_pq @t10 @t3) @t2))) % 0.38/0.63 (assume @p12 (forall @t6 (=> (and @t12 @t14) (= (tptp.remove_pq @t10 @t1) (tptp.insert_pq (tptp.remove_pq @t2 @t1) @t3))))) % 0.38/0.63 (assume @p13 (forall @t8 (=> @t16 (= (tptp.findmin_pq_eff @t2 @t3) @t2)))) % 0.38/0.63 (assume @p14 @t19) % 0.38/0.63 (assume @p15 (forall @t8 (=> @t16 (= (tptp.removemin_pq_eff @t2 @t3) (tptp.remove_pq @t2 @t3))))) % 0.38/0.63 (assume @p16 (forall @t8 (=> @t16 (= (tptp.removemin_pq_res @t2 @t3) @t3)))) % 0.38/0.63 (assume @p17 (forall @t6 (= (tptp.insert_pq @t10 @t1) (tptp.insert_pq (tptp.insert_pq @t2 @t1) @t3)))) % 0.38/0.63 (assume @p18 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.38/0.63 (assume @p19 (forall @t6 (tptp.isnonempty_slb @t21))) % 0.38/0.63 (assume @p20 (forall @t9 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.38/0.63 (assume @p21 (forall @t26 (= (tptp.contains_slb @t25 @t1) (or @t22 @t11)))) % 0.38/0.63 (assume @p22 (forall @t8 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.38/0.63 (assume @p23 (forall @t28 (= (tptp.pair_in_list @t25 @t1 @t27) (or (tptp.pair_in_list @t2 @t1 @t27) (and @t11 (= @t23 @t27)))))) % 0.38/0.63 (assume @p24 (forall @t6 (= (tptp.remove_slb @t21 @t3) @t2))) % 0.38/0.63 (assume @p25 (forall @t26 (=> @t29 (= (tptp.remove_slb @t25 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t24))))) % 0.38/0.63 (assume @p26 (forall @t6 (= (tptp.lookup_slb @t21 @t3) @t1))) % 0.38/0.63 (assume @p27 (forall @t26 (=> @t29 (= (tptp.lookup_slb @t25 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.38/0.63 (assume @p28 (forall @t9 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.38/0.63 (assume @p29 (forall @t26 (=> (tptp.strictly_less_than @t23 @t1) (= @t31 (tptp.insert_slb @t30 @t20))))) % 0.38/0.63 (assume @p30 (forall @t26 (=> (tptp.less_than @t1 @t23) (= @t31 (tptp.insert_slb @t30 @t24))))) % 0.38/0.63 (assume @p31 (forall @t9 (tptp.succ_cpq @t2 @t2))) % 0.38/0.63 (assume @p32 (forall @t6 (=> @t32 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1))))) % 0.38/0.63 (assume @p33 (forall @t6 (=> @t32 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1))))) % 0.38/0.63 (assume @p34 (forall @t8 (=> @t32 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3))))) % 0.38/0.63 (assume @p35 (forall @t8 (=> @t32 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3))))) % 0.38/0.63 (assume @p36 (forall @t8 (tptp.check_cpq @t33))) % 0.38/0.63 (assume @p37 (forall @t28 (=> (tptp.less_than @t27 @t23) (= @t36 (tptp.check_cpq @t34))))) % 0.38/0.63 (assume @p38 (forall @t28 (=> (tptp.strictly_less_than @t23 @t27) (= @t36 false)))) % 0.38/0.63 (assume @p39 (forall @t26 (= (tptp.contains_cpq @t34 @t23) @t37))) % 0.38/0.63 (assume @p40 (forall @t8 (= (tptp.ok @t38) false))) % 0.38/0.63 (assume @p41 (forall @t6 (=> (not (tptp.ok @t34)) (= @t1 tptp.bad)))) % 0.38/0.63 (assume @p42 (forall @t26 (= (tptp.insert_cpq @t34 @t23) (tptp.triple (tptp.insert_pqp @t2 @t23) (tptp.insert_slb @t3 (tptp.pair @t23 tptp.bottom)) @t1)))) % 0.38/0.63 (assume @p43 (forall @t26 (=> (not @t37) (= @t39 @t38)))) % 0.38/0.63 (assume @p44 (forall @t26 (=> (and @t37 (tptp.less_than @t42 @t23)) (= @t39 (tptp.triple @t41 @t40 @t1))))) % 0.38/0.63 (assume @p45 (forall @t26 (=> (and @t37 (tptp.strictly_less_than @t23 @t42)) (= @t39 (tptp.triple @t41 @t40 tptp.bad))))) % 0.38/0.63 (assume @p46 (forall @t8 (= (tptp.findmin_cpq_eff @t33) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 0.38/0.63 (assume @p47 (forall @t26 (=> (and @t48 (not @t47)) @t46))) % 0.38/0.63 (assume @p48 (forall @t26 (=> (and @t48 @t47 (tptp.strictly_less_than @t43 @t49)) @t46))) % 0.38/0.63 (assume @p49 (forall @t26 (=> (and @t48 @t47 (tptp.less_than @t49 @t43)) (= @t45 (tptp.triple @t2 @t44 @t1))))) % 0.38/0.63 (assume @p50 (forall @t8 (= (tptp.findmin_cpq_res @t33) tptp.bottom))) % 0.38/0.63 (assume @p51 (forall @t26 (=> @t48 (= @t50 @t43)))) % 0.38/0.63 (assume @p52 (forall @t9 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t51)))) % 0.38/0.63 (assume @p53 (forall @t9 (= (tptp.removemin_cpq_res @t2) @t51))) % 0.38/0.63 (assume @p54 (forall @t8 (= (tptp.i @t33) tptp.create_pq))) % 0.38/0.63 (assume @p55 (forall @t28 (= (tptp.i @t35) (tptp.insert_pq @t52 @t23)))) % 0.38/0.63 (assume @p56 (forall @t8 (= (tptp.pi_sharp_remove @t2 @t3) @t15))) % 0.38/0.63 (assume @p57 (forall @t8 (= (tptp.pi_remove @t2 @t3) (tptp.pi_sharp_remove @t53 @t3)))) % 0.38/0.63 (assume @p58 @t55) % 0.38/0.63 (assume @p59 (forall @t9 (= (tptp.pi_find_min @t2) @t57))) % 0.38/0.63 (assume @p60 (forall @t8 (= (tptp.pi_sharp_removemin @t2 @t3) @t16))) % 0.38/0.63 (assume @p61 (forall @t9 (= (tptp.pi_removemin @t2) @t57))) % 0.38/0.63 (assume @p62 (forall @t9 (= (tptp.phi @t2) (exists @t56 (and @t32 (tptp.ok @t3) (tptp.check_cpq @t3)))))) % 0.38/0.63 (assume @p63 @t60) % 0.38/0.63 (assume @p64 @t70) % 0.38/0.63 (assume @p65 true) % 0.38/0.63 (step @p66 :rule aci_norm :args ((= (or (or @t73 @t72) @t71) @t74))) % 0.38/0.63 (step @p67 :rule refl :args (@t71)) % 0.38/0.63 (step @p68 :rule bool-and-de-morgan :args (@t15 @t13 true)) % 0.38/0.63 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or (not @t16) @t71))) % 0.38/0.63 (step @p70 :rule trans :premises (@p69 @p66)) % 0.38/0.63 (step @p71 :rule bool-impl-elim :args (@t16 @t71)) % 0.38/0.63 (step @p72 :rule trans :premises (@p71 @p70)) % 0.38/0.63 (step @p73 :rule cong :premises (@p72) :args ((forall @t8 (=> @t16 @t71)))) % 0.38/0.63 (step @p74 :rule eq-symm :args (@t17 @t3)) % 0.38/0.63 (step @p75 :rule refl :args (@t16)) % 0.38/0.63 (step @p76 :rule cong :premises (@p75 @p74) :args (@t18)) % 0.38/0.63 (step @p77 :rule cong :premises (@p76) :args (@t19)) % 0.38/0.63 (step @p78 :rule trans :premises (@p77 @p73)) % 0.38/0.63 (step @p79 :rule eq_resolve :premises (@p14 @p78)) % 0.38/0.63 (step @p80 :rule eq-symm :args (@t54 @t16)) % 0.38/0.63 (step @p81 :rule cong :premises (@p80) :args (@t55)) % 0.38/0.63 (step @p82 :rule eq_resolve :premises (@p58 @p81)) % 0.38/0.63 (step @p83 :rule eq-symm :args (@t88 @t89)) % 0.38/0.63 (step @p84 :rule refl :args (@t90)) % 0.38/0.63 (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t90 @t91))) % 0.38/0.63 (assume-push @p157 @t90) % 0.38/0.63 (step @p87 :rule instantiate :premises (@p82) :args (@t92)) % 0.38/0.63 (step-pop @p158 :rule scope :premises (@p87)) % 0.38/0.63 (step @p88 :rule process_scope :premises (@p158) :args (@t91)) % 0.38/0.63 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.38/0.63 (step @p91 :rule implies_elim :premises (@p90)) % 0.38/0.63 (step @p92 :rule chain_m_resolution :premises (@p91 @p82) :args (@t93 @t94 (@list @t90))) % 0.38/0.63 (step @p93 :rule bool-impl-elim :args (@t59 @t58)) % 0.38/0.63 (step @p94 :rule cong :premises (@p93) :args (@t60)) % 0.38/0.63 (step @p95 :rule eq_resolve :premises (@p63 @p94)) % 0.38/0.63 (step @p96 :rule instantiate :premises (@p95) :args ((@list @t82 @t81 @t80))) % 0.38/0.63 (step @p97 :rule aci_norm :args ((= (or @t77 (or @t76 @t75)) @t78))) % 0.38/0.63 (step @p98 :rule bool-impl-elim :args (@t59 @t75)) % 0.38/0.63 (step @p99 :rule refl :args (@t77)) % 0.38/0.63 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t77 @t95))) % 0.38/0.63 (step @p101 :rule trans :premises (@p100 @p97)) % 0.38/0.63 (step @p102 :rule bool-impl-elim :args (@t67 @t95)) % 0.38/0.63 (step @p103 :rule trans :premises (@p102 @p101)) % 0.38/0.63 (step @p104 :rule cong :premises (@p103) :args ((forall @t6 (=> @t67 @t95)))) % 0.38/0.63 (step @p105 :rule bool-and-de-morgan :args (@t62 @t61 true)) % 0.38/0.63 (step @p106 :rule cong :premises (@p105) :args (@t96)) % 0.38/0.63 (step @p107 :rule cong :premises (@p106) :args (@t97)) % 0.38/0.63 (step @p108 :rule exists-elim :args ((= @t65 @t97))) % 0.38/0.63 (step @p109 :rule trans :premises (@p108 @p107)) % 0.38/0.63 (step @p110 :rule refl :args (@t59)) % 0.38/0.63 (step @p111 :rule cong :premises (@p110 @p109) :args (@t66)) % 0.38/0.63 (step @p112 :rule refl :args (@t67)) % 0.38/0.63 (step @p113 :rule cong :premises (@p112 @p111) :args (@t68)) % 0.38/0.63 (step @p114 :rule cong :premises (@p113) :args (@t69)) % 0.38/0.63 (step @p115 :rule trans :premises (@p114 @p104)) % 0.38/0.63 (step @p116 :rule cong :premises (@p115) :args (@t70)) % 0.38/0.63 (step @p117 :rule eq_resolve :premises (@p64 @p116)) % 0.38/0.63 (step @p118 :rule skolemize :premises (@p117)) % 0.38/0.63 (step @p119 :rule bool-double-not-elim :args (@t98)) % 0.38/0.63 (step @p120 :rule refl :args (@t102)) % 0.38/0.63 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t102 (not @t101)))) % 0.38/0.63 (step @p122 :rule cnf_or_neg :args (@t102 1)) % 0.38/0.63 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.38/0.63 (step @p124 :rule reordering :premises (@p123) :args ((or @t98 @t102))) % 0.38/0.63 (step @p125 :rule chain_m_resolution :premises (@p124 @p118) :args (@t98 @t103 @t104)) % 0.38/0.63 (step @p126 :rule cnf_or_pos :args (@t105)) % 0.38/0.63 (step @p127 :rule reordering :premises (@p126) :args ((or @t101 @t89 (not @t105)))) % 0.38/0.63 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p96) :args (@t89 @t106 (@list @t98 @t105))) % 0.38/0.63 (step @p129 :rule cnf_equiv_pos1 :args (@t93)) % 0.38/0.63 (step @p130 :rule reordering :premises (@p129) :args ((or @t107 @t88 (not @t93)))) % 0.38/0.63 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p92) :args (@t88 @t106 (@list @t89 @t93))) % 0.38/0.63 (step @p132 :rule cnf_and_pos :args (@t88 1)) % 0.38/0.63 (step @p133 :rule reordering :premises (@p132) :args ((or @t86 @t108))) % 0.38/0.63 (step @p134 :rule chain_m_resolution :premises (@p133 @p131) :args (@t86 @t94 @t109)) % 0.38/0.63 (step @p135 :rule cnf_and_pos :args (@t88 0)) % 0.38/0.63 (step @p136 :rule reordering :premises (@p135) :args ((or @t87 @t108))) % 0.38/0.63 (step @p137 :rule chain_m_resolution :premises (@p136 @p131) :args (@t87 @t94 @t109)) % 0.38/0.63 (step @p138 :rule bool-double-not-elim :args (@t99)) % 0.38/0.63 (step @p139 :rule nary_cong :premises (@p120 @p138) :args ((or @t102 (not @t100)))) % 0.38/0.63 (step @p140 :rule cnf_or_neg :args (@t102 2)) % 0.38/0.63 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 0.38/0.63 (step @p142 :rule reordering :premises (@p141) :args ((or @t99 @t102))) % 0.38/0.63 (step @p143 :rule chain_m_resolution :premises (@p142 @p118) :args (@t99 @t103 @t104)) % 0.38/0.63 (step @p144 :rule instantiate :premises (@p143) :args ((@list @t84))) % 0.38/0.63 (step @p145 :rule cnf_or_pos :args (@t112)) % 0.38/0.63 (step @p146 :rule reordering :premises (@p145) :args ((or @t107 @t111 (not @t112)))) % 0.38/0.63 (step @p147 :rule chain_m_resolution :premises (@p146 @p128 @p144) :args (@t111 @t106 (@list @t89 @t112))) % 0.38/0.63 (step @p148 :rule cnf_or_pos :args (@t115)) % 0.38/0.63 (step @p149 :rule reordering :premises (@p148) :args ((or @t110 @t114 @t113 @t116))) % 0.38/0.63 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p137 @p134) :args (@t116 (@list true false false) (@list @t110 @t87 @t86))) % 0.38/0.63 (assume-push @p159 @t117) % 0.38/0.63 (step @p152 :rule instantiate :premises (@p79) :args (@t92)) % 0.38/0.63 (step-pop @p160 :rule scope :premises (@p152)) % 0.38/0.63 (step @p153 :rule process_scope :premises (@p160) :args (@t115)) % 0.38/0.63 (step @p155 :rule implies_elim :premises (@p153)) % 0.38/0.63 (step @p156 false :rule chain_m_resolution :premises (@p155 @p150 @p79) :args (false (@list true false) (@list @t115 @t117))) % 0.38/0.63 ) % 0.38/0.63 % SZS output end Proof % 0.38/0.63 % cvc5 exiting %------------------------------------------------------------------------------