%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV408+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 : 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 09:01:22 AM UTC 2026 % Result : Theorem 0.36s 0.61s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV408+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 % 0.17/0.35 % Computer : n017.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 20:05:31 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.61 % SZS status Theorem % 0.36/0.61 % SZS output start Proof % 0.36/0.61 ( % 0.36/0.61 (declare-sort $$unsorted 0) % 0.36/0.61 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.bottom $$unsorted) % 0.36/0.61 (declare-const tptp.create_slb $$unsorted) % 0.36/0.61 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.ok (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.bad $$unsorted) % 0.36/0.61 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (define @t1 () (@var "W" $$unsorted)) % 0.36/0.61 (define @t2 () (@var "U" $$unsorted)) % 0.36/0.61 (define @t3 () (@var "V" $$unsorted)) % 0.36/0.61 (define @t4 () (tptp.less_than @t2 @t3)) % 0.36/0.61 (define @t5 () (@list @t2 @t3 @t1)) % 0.36/0.61 (define @t6 () (tptp.less_than @t3 @t2)) % 0.36/0.61 (define @t7 () (@list @t2 @t3)) % 0.36/0.61 (define @t8 () (@list @t2)) % 0.36/0.61 (define @t9 () (tptp.pair @t3 @t1)) % 0.36/0.61 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.36/0.61 (define @t11 () (= @t3 @t1)) % 0.36/0.61 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.36/0.61 (define @t13 () (@var "X" $$unsorted)) % 0.36/0.61 (define @t14 () (tptp.pair @t3 @t13)) % 0.36/0.61 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.36/0.61 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.36/0.61 (define @t17 () (@var "Y" $$unsorted)) % 0.36/0.61 (define @t18 () (@list @t2 @t3 @t1 @t13 @t17)) % 0.36/0.61 (define @t19 () (and (not @t11) @t12)) % 0.36/0.61 (define @t20 () (tptp.update_slb @t2 @t1)) % 0.36/0.61 (define @t21 () (tptp.update_slb @t15 @t1)) % 0.36/0.61 (define @t22 () (tptp.less_than @t1 @t13)) % 0.36/0.61 (define @t23 () (tptp.succ_cpq @t2 @t3)) % 0.36/0.61 (define @t24 () (tptp.triple @t2 tptp.create_slb @t3)) % 0.36/0.61 (define @t25 () (tptp.triple @t2 @t3 @t1)) % 0.36/0.61 (define @t26 () (tptp.check_cpq (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t13 @t17)) @t1))) % 0.36/0.61 (define @t27 () (tptp.contains_slb @t3 @t13)) % 0.36/0.61 (define @t28 () (tptp.triple @t2 @t3 tptp.bad)) % 0.36/0.62 (define @t29 () (tptp.remove_cpq @t25 @t13)) % 0.36/0.62 (define @t30 () (not @t27)) % 0.36/0.62 (define @t31 () (tptp.remove_slb @t3 @t13)) % 0.36/0.62 (define @t32 () (tptp.remove_pqp @t2 @t13)) % 0.36/0.62 (define @t33 () (tptp.lookup_slb @t3 @t13)) % 0.36/0.62 (define @t34 () (tptp.findmin_pqp_res @t2)) % 0.36/0.62 (define @t35 () (tptp.update_slb @t3 @t34)) % 0.36/0.62 (define @t36 () (tptp.findmin_cpq_eff @t25)) % 0.36/0.62 (define @t37 () (= @t36 (tptp.triple @t2 @t35 tptp.bad))) % 0.36/0.62 (define @t38 () (tptp.contains_slb @t3 @t34)) % 0.36/0.62 (define @t39 () (= @t3 tptp.create_slb)) % 0.36/0.62 (define @t40 () (not @t39)) % 0.36/0.62 (define @t41 () (tptp.lookup_slb @t3 @t34)) % 0.36/0.62 (define @t42 () (tptp.findmin_cpq_res @t25)) % 0.36/0.62 (define @t43 () (=> @t40 (= @t42 @t34))) % 0.36/0.62 (define @t44 () (forall @t16 @t43)) % 0.36/0.62 (define @t45 () (tptp.findmin_cpq_res @t2)) % 0.36/0.62 (define @t46 () (tptp.pair_in_list @t20 @t3 @t13)) % 0.36/0.62 (define @t47 () (and @t46 @t22)) % 0.36/0.62 (define @t48 () (@list @t13)) % 0.36/0.62 (define @t49 () (exists @t48 @t47)) % 0.36/0.62 (define @t50 () (tptp.pair_in_list @t20 @t3 @t1)) % 0.36/0.62 (define @t51 () (or @t50 @t49)) % 0.36/0.62 (define @t52 () (tptp.strictly_less_than @t3 @t1)) % 0.36/0.62 (define @t53 () (tptp.contains_slb @t2 @t3)) % 0.36/0.62 (define @t54 () (and @t53 @t52)) % 0.36/0.62 (define @t55 () (=> @t54 @t51)) % 0.36/0.62 (define @t56 () (forall @t5 @t55)) % 0.36/0.62 (define @t57 () (tptp.less_than @t34 @t17)) % 0.36/0.62 (define @t58 () (tptp.pair_in_list @t35 @t13 @t17)) % 0.36/0.62 (define @t59 () (and @t58 @t57)) % 0.36/0.62 (define @t60 () (@list @t17)) % 0.36/0.62 (define @t61 () (exists @t60 @t59)) % 0.36/0.62 (define @t62 () (tptp.pair_in_list @t35 @t13 @t34)) % 0.36/0.62 (define @t63 () (or @t62 @t61)) % 0.36/0.62 (define @t64 () (tptp.strictly_less_than @t13 @t42)) % 0.36/0.62 (define @t65 () (and @t27 @t64)) % 0.36/0.62 (define @t66 () (=> @t65 @t63)) % 0.36/0.62 (define @t67 () (forall @t16 @t66)) % 0.36/0.62 (define @t68 () (not @t67)) % 0.36/0.62 (define @t69 () (not (forall @t60 (or (not @t58) (not @t57))))) % 0.36/0.62 (define @t70 () (not @t64)) % 0.36/0.62 (define @t71 () (or @t30 @t70 @t62 @t69)) % 0.36/0.62 (define @t72 () (or @t62 @t69)) % 0.36/0.62 (define @t73 () (forall @t60 (not @t59))) % 0.36/0.62 (define @t74 () (not @t73)) % 0.36/0.62 (define @t75 () (forall @t16 @t71)) % 0.36/0.62 (define @t76 () (@quantifiers_skolemize @t75 2)) % 0.36/0.62 (define @t77 () (@quantifiers_skolemize @t75 1)) % 0.36/0.62 (define @t78 () (@quantifiers_skolemize @t75 0)) % 0.36/0.62 (define @t79 () (tptp.findmin_cpq_res (tptp.triple @t78 @t77 @t76))) % 0.36/0.62 (define @t80 () (@quantifiers_skolemize @t75 3)) % 0.36/0.62 (define @t81 () (tptp.strictly_less_than @t80 @t79)) % 0.36/0.62 (define @t82 () (tptp.findmin_pqp_res @t78)) % 0.36/0.62 (define @t83 () (tptp.update_slb @t77 @t82)) % 0.36/0.62 (define @t84 () (forall @t60 (or (not (tptp.pair_in_list @t83 @t80 @t17)) (not (tptp.less_than @t82 @t17))))) % 0.36/0.62 (define @t85 () (not @t84)) % 0.36/0.62 (define @t86 () (tptp.pair_in_list @t83 @t80 @t82)) % 0.36/0.62 (define @t87 () (not @t81)) % 0.36/0.62 (define @t88 () (tptp.contains_slb @t77 @t80)) % 0.36/0.62 (define @t89 () (not @t88)) % 0.36/0.62 (define @t90 () (or @t89 @t87 @t86 @t85)) % 0.36/0.62 (define @t91 () (@list true)) % 0.36/0.62 (define @t92 () (@list @t90)) % 0.36/0.62 (define @t93 () (not (forall @t48 (or (not @t46) (not @t22))))) % 0.36/0.62 (define @t94 () (not @t52)) % 0.36/0.62 (define @t95 () (not @t53)) % 0.36/0.62 (define @t96 () (or @t50 @t93)) % 0.36/0.62 (define @t97 () (forall @t48 (not @t47))) % 0.36/0.62 (define @t98 () (not @t97)) % 0.36/0.62 (define @t99 () (forall @t48 (or (not (tptp.pair_in_list @t83 @t80 @t13)) (not (tptp.less_than @t82 @t13))))) % 0.36/0.62 (define @t100 () (@list false)) % 0.36/0.62 (define @t101 () (not @t99)) % 0.36/0.62 (define @t102 () (tptp.strictly_less_than @t80 @t82)) % 0.36/0.62 (define @t103 () (not @t102)) % 0.36/0.62 (define @t104 () (or @t89 @t103 @t86 @t101)) % 0.36/0.62 (define @t105 () (= @t34 @t42)) % 0.36/0.62 (define @t106 () (or @t39 @t105)) % 0.36/0.62 (define @t107 () (forall @t5 @t106)) % 0.36/0.62 (define @t108 () (or (= @t77 tptp.create_slb) (= @t82 @t79))) % 0.36/0.62 (define @t109 () (= @t79 @t82)) % 0.36/0.62 (define @t110 () (= tptp.create_slb @t77)) % 0.36/0.62 (define @t111 () (or @t110 @t109)) % 0.36/0.62 (define @t112 () (tptp.contains_slb tptp.create_slb @t80)) % 0.36/0.62 (define @t113 () (not @t110)) % 0.36/0.62 (define @t114 () (not @t112)) % 0.36/0.62 (define @t115 () (= false true)) % 0.36/0.62 (define @t116 () (not @t109)) % 0.36/0.62 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.36/0.62 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.36/0.62 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.36/0.62 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.36/0.62 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.36/0.62 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.36/0.62 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.36/0.62 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.36/0.62 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.36/0.62 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.36/0.62 (assume @p11 (forall @t18 (= (tptp.pair_in_list @t15 @t1 @t17) (or (tptp.pair_in_list @t2 @t1 @t17) (and @t11 (= @t13 @t17)))))) % 0.36/0.62 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.36/0.62 (assume @p13 (forall @t16 (=> @t19 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.36/0.62 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.36/0.62 (assume @p15 (forall @t16 (=> @t19 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.36/0.62 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.36/0.62 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t21 (tptp.insert_slb @t20 @t9))))) % 0.36/0.62 (assume @p18 (forall @t16 (=> @t22 (= @t21 (tptp.insert_slb @t20 @t14))))) % 0.36/0.62 (assume @p19 (forall @t8 (tptp.succ_cpq @t2 @t2))) % 0.36/0.62 (assume @p20 (forall @t5 (=> @t23 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1))))) % 0.36/0.62 (assume @p21 (forall @t5 (=> @t23 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1))))) % 0.36/0.62 (assume @p22 (forall @t7 (=> @t23 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3))))) % 0.36/0.62 (assume @p23 (forall @t7 (=> @t23 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3))))) % 0.36/0.62 (assume @p24 (forall @t7 (tptp.check_cpq @t24))) % 0.36/0.62 (assume @p25 (forall @t18 (=> (tptp.less_than @t17 @t13) (= @t26 (tptp.check_cpq @t25))))) % 0.36/0.62 (assume @p26 (forall @t18 (=> (tptp.strictly_less_than @t13 @t17) (= @t26 false)))) % 0.36/0.62 (assume @p27 (forall @t16 (= (tptp.contains_cpq @t25 @t13) @t27))) % 0.36/0.62 (assume @p28 (forall @t7 (= (tptp.ok @t28) false))) % 0.36/0.62 (assume @p29 (forall @t5 (=> (not (tptp.ok @t25)) (= @t1 tptp.bad)))) % 0.36/0.62 (assume @p30 (forall @t16 (= (tptp.insert_cpq @t25 @t13) (tptp.triple (tptp.insert_pqp @t2 @t13) (tptp.insert_slb @t3 (tptp.pair @t13 tptp.bottom)) @t1)))) % 0.36/0.62 (assume @p31 (forall @t16 (=> @t30 (= @t29 @t28)))) % 0.36/0.62 (assume @p32 (forall @t16 (=> (and @t27 (tptp.less_than @t33 @t13)) (= @t29 (tptp.triple @t32 @t31 @t1))))) % 0.36/0.62 (assume @p33 (forall @t16 (=> (and @t27 (tptp.strictly_less_than @t13 @t33)) (= @t29 (tptp.triple @t32 @t31 tptp.bad))))) % 0.36/0.62 (assume @p34 (forall @t7 (= (tptp.findmin_cpq_eff @t24) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 0.36/0.62 (assume @p35 (forall @t16 (=> (and @t40 (not @t38)) @t37))) % 0.36/0.62 (assume @p36 (forall @t16 (=> (and @t40 @t38 (tptp.strictly_less_than @t34 @t41)) @t37))) % 0.36/0.62 (assume @p37 (forall @t16 (=> (and @t40 @t38 (tptp.less_than @t41 @t34)) (= @t36 (tptp.triple @t2 @t35 @t1))))) % 0.36/0.62 (assume @p38 (forall @t7 (= (tptp.findmin_cpq_res @t24) tptp.bottom))) % 0.36/0.62 (assume @p39 @t44) % 0.36/0.62 (assume @p40 (forall @t8 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t45)))) % 0.36/0.62 (assume @p41 (forall @t8 (= (tptp.removemin_cpq_res @t2) @t45))) % 0.36/0.62 (assume @p42 @t56) % 0.36/0.62 (assume @p43 @t68) % 0.36/0.62 (assume @p44 true) % 0.36/0.62 (step @p45 :rule aci_norm :args ((= (or (or @t30 @t70) @t72) @t71))) % 0.36/0.62 (step @p46 :rule refl :args (@t72)) % 0.36/0.62 (step @p47 :rule bool-and-de-morgan :args (@t27 @t64 true)) % 0.36/0.62 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t65) @t72))) % 0.36/0.62 (step @p49 :rule trans :premises (@p48 @p45)) % 0.36/0.62 (step @p50 :rule bool-impl-elim :args (@t65 @t72)) % 0.36/0.62 (step @p51 :rule trans :premises (@p50 @p49)) % 0.36/0.62 (step @p52 :rule cong :premises (@p51) :args ((forall @t16 (=> @t65 @t72)))) % 0.36/0.62 (step @p53 :rule bool-and-de-morgan :args (@t58 @t57 true)) % 0.36/0.62 (step @p54 :rule cong :premises (@p53) :args (@t73)) % 0.36/0.62 (step @p55 :rule cong :premises (@p54) :args (@t74)) % 0.36/0.62 (step @p56 :rule exists-elim :args ((= @t61 @t74))) % 0.36/0.62 (step @p57 :rule trans :premises (@p56 @p55)) % 0.36/0.62 (step @p58 :rule refl :args (@t62)) % 0.36/0.62 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t63)) % 0.36/0.62 (step @p60 :rule refl :args (@t65)) % 0.36/0.62 (step @p61 :rule cong :premises (@p60 @p59) :args (@t66)) % 0.36/0.62 (step @p62 :rule cong :premises (@p61) :args (@t67)) % 0.36/0.62 (step @p63 :rule trans :premises (@p62 @p52)) % 0.36/0.62 (step @p64 :rule cong :premises (@p63) :args (@t68)) % 0.36/0.62 (step @p65 :rule eq_resolve :premises (@p43 @p64)) % 0.36/0.62 (step @p66 :rule skolemize :premises (@p65)) % 0.36/0.62 (step @p67 :rule bool-double-not-elim :args (@t81)) % 0.36/0.62 (step @p68 :rule refl :args (@t90)) % 0.36/0.62 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t90 (not @t87)))) % 0.36/0.62 (step @p70 :rule cnf_or_neg :args (@t90 1)) % 0.36/0.62 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.36/0.62 (step @p72 :rule reordering :premises (@p71) :args ((or @t81 @t90))) % 0.36/0.62 (step @p73 :rule chain_m_resolution :premises (@p72 @p66) :args (@t81 @t91 @t92)) % 0.36/0.62 (step @p74 :rule aci_norm :args ((= (or (or @t95 @t94) @t96) (or @t95 @t94 @t50 @t93)))) % 0.36/0.62 (step @p75 :rule refl :args (@t96)) % 0.36/0.62 (step @p76 :rule bool-and-de-morgan :args (@t53 @t52 true)) % 0.36/0.62 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or (not @t54) @t96))) % 0.36/0.62 (step @p78 :rule trans :premises (@p77 @p74)) % 0.36/0.62 (step @p79 :rule bool-impl-elim :args (@t54 @t96)) % 0.36/0.62 (step @p80 :rule trans :premises (@p79 @p78)) % 0.36/0.62 (step @p81 :rule cong :premises (@p80) :args ((forall @t5 (=> @t54 @t96)))) % 0.36/0.62 (step @p82 :rule bool-and-de-morgan :args (@t46 @t22 true)) % 0.36/0.62 (step @p83 :rule cong :premises (@p82) :args (@t97)) % 0.36/0.62 (step @p84 :rule cong :premises (@p83) :args (@t98)) % 0.36/0.62 (step @p85 :rule exists-elim :args ((= @t49 @t98))) % 0.36/0.62 (step @p86 :rule trans :premises (@p85 @p84)) % 0.36/0.62 (step @p87 :rule refl :args (@t50)) % 0.36/0.62 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t51)) % 0.36/0.62 (step @p89 :rule refl :args (@t54)) % 0.36/0.62 (step @p90 :rule cong :premises (@p89 @p88) :args (@t55)) % 0.36/0.62 (step @p91 :rule cong :premises (@p90) :args (@t56)) % 0.36/0.62 (step @p92 :rule trans :premises (@p91 @p81)) % 0.36/0.62 (step @p93 :rule eq_resolve :premises (@p42 @p92)) % 0.36/0.62 (step @p94 :rule instantiate :premises (@p93) :args ((@list @t77 @t80 @t82))) % 0.36/0.62 (step @p95 :rule bool-double-not-elim :args (@t84)) % 0.36/0.62 (step @p96 :rule nary_cong :premises (@p68 @p95) :args ((or @t90 (not @t85)))) % 0.36/0.62 (step @p97 :rule cnf_or_neg :args (@t90 3)) % 0.36/0.62 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.36/0.62 (step @p99 :rule reordering :premises (@p98) :args ((or @t84 @t90))) % 0.36/0.62 (step @p100 :rule chain_m_resolution :premises (@p99 @p66) :args (@t84 @t91 @t92)) % 0.36/0.62 (step @p101 :rule alpha_equiv :args (@t84 (@list @t17) (@list @t13))) % 0.36/0.62 (step @p102 :rule equiv_elim1 :premises (@p101)) % 0.36/0.62 (step @p103 :rule chain_m_resolution :premises (@p102 @p100) :args (@t99 @t100 (@list @t84))) % 0.36/0.62 (step @p104 :rule cnf_or_neg :args (@t90 2)) % 0.36/0.62 (step @p105 :rule chain_m_resolution :premises (@p104 @p66) :args ((not @t86) @t91 @t92)) % 0.36/0.62 (step @p106 :rule bool-double-not-elim :args (@t88)) % 0.36/0.62 (step @p107 :rule nary_cong :premises (@p68 @p106) :args ((or @t90 (not @t89)))) % 0.36/0.62 (step @p108 :rule cnf_or_neg :args (@t90 0)) % 0.36/0.62 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.36/0.62 (step @p110 :rule reordering :premises (@p109) :args ((or @t88 @t90))) % 0.36/0.62 (step @p111 :rule chain_m_resolution :premises (@p110 @p66) :args (@t88 @t91 @t92)) % 0.36/0.62 (step @p112 :rule cnf_or_pos :args (@t104)) % 0.36/0.62 (step @p113 :rule reordering :premises (@p112) :args ((or @t89 @t86 @t103 @t101 (not @t104)))) % 0.36/0.62 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p105 @p103 @p94) :args (@t103 (@list false true false false) (@list @t88 @t86 @t99 @t104))) % 0.36/0.62 (step @p115 :rule quant-unused-vars :args ((= (forall @t16 @t106) @t107))) % 0.36/0.62 (step @p116 :rule refl :args (@t105)) % 0.36/0.62 (step @p117 :rule bool-double-not-elim :args (@t39)) % 0.36/0.62 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or (not @t40) @t105))) % 0.36/0.62 (step @p119 :rule bool-impl-elim :args (@t40 @t105)) % 0.36/0.62 (step @p120 :rule trans :premises (@p119 @p118)) % 0.36/0.62 (step @p121 :rule cong :premises (@p120) :args ((forall @t16 (=> @t40 @t105)))) % 0.36/0.62 (step @p122 :rule trans :premises (@p121 @p115)) % 0.36/0.62 (step @p123 :rule eq-symm :args (@t42 @t34)) % 0.36/0.62 (step @p124 :rule refl :args (@t40)) % 0.36/0.62 (step @p125 :rule cong :premises (@p124 @p123) :args (@t43)) % 0.36/0.62 (step @p126 :rule cong :premises (@p125) :args (@t44)) % 0.36/0.62 (step @p127 :rule trans :premises (@p126 @p122)) % 0.36/0.62 (step @p128 :rule eq_resolve :premises (@p39 @p127)) % 0.36/0.62 (step @p129 :rule eq-symm :args (@t82 @t79)) % 0.36/0.62 (step @p130 :rule eq-symm :args (@t77 tptp.create_slb)) % 0.36/0.62 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t108)) % 0.36/0.62 (step @p132 :rule refl :args (@t107)) % 0.36/0.62 (step @p133 :rule cong :premises (@p132 @p131) :args ((=> @t107 @t108))) % 0.36/0.62 (assume-push @p189 @t107) % 0.36/0.62 (step @p135 :rule instantiate :premises (@p128) :args ((@list @t78 @t77 @t76))) % 0.36/0.62 (step-pop @p190 :rule scope :premises (@p135)) % 0.36/0.62 (step @p136 :rule process_scope :premises (@p190) :args (@t108)) % 0.36/0.62 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 0.36/0.62 (step @p139 :rule implies_elim :premises (@p138)) % 0.36/0.62 (step @p140 :rule chain_m_resolution :premises (@p139 @p128) :args (@t111 @t100 (@list @t107))) % 0.36/0.62 (step @p141 :rule instantiate :premises (@p8) :args ((@list @t80))) % 0.36/0.62 (step @p142 :rule bool-double-not-elim :args (@t112)) % 0.36/0.62 (step @p143 :rule refl :args (@t113)) % 0.36/0.62 (step @p144 :rule refl :args (@t89)) % 0.36/0.62 (step @p145 :rule nary_cong :premises (@p144 @p143 @p142) :args ((or @t89 @t113 (not @t114)))) % 0.36/0.62 (assume-push @p191 @t88) % 0.36/0.62 (assume-push @p192 @t110) % 0.36/0.62 (assume-push @p193 @t114) % 0.36/0.62 (step @p149 :rule evaluate :args (@t115)) % 0.36/0.62 (step @p150 :rule true_intro :premises (@p111)) % 0.36/0.62 (step @p151 :rule refl :args (@t80)) % 0.36/0.62 (step @p152 :rule cong :premises (@p192 @p151) :args (@t112)) % 0.36/0.62 (step @p153 :rule false_intro :premises (@p141)) % 0.36/0.62 (step @p154 :rule symm :premises (@p153)) % 0.36/0.62 (step @p155 :rule trans :premises (@p154 @p152 @p150)) % 0.36/0.62 (step @p156 false :rule eq_resolve :premises (@p155 @p149)) % 0.36/0.62 (step-pop @p194 :rule scope :premises (@p156)) % 0.36/0.62 (step-pop @p195 :rule scope :premises (@p194)) % 0.36/0.62 (step-pop @p196 :rule scope :premises (@p195)) % 0.36/0.62 (step @p157 :rule process_scope :premises (@p196) :args (false)) % 0.36/0.62 (step @p161 :rule not_and :premises (@p157)) % 0.36/0.62 (step @p162 :rule eq_resolve :premises (@p161 @p145)) % 0.36/0.62 (step @p163 :rule chain_m_resolution :premises (@p162 @p111 @p141) :args (@t113 (@list false true) (@list @t88 @t112))) % 0.36/0.62 (step @p164 :rule cnf_or_pos :args (@t111)) % 0.36/0.62 (step @p165 :rule reordering :premises (@p164) :args ((or @t110 @t109 (not @t111)))) % 0.36/0.62 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p140) :args (@t109 (@list true false) (@list @t110 @t111))) % 0.36/0.62 (step @p167 :rule bool-double-not-elim :args (@t102)) % 0.36/0.62 (step @p168 :rule refl :args (@t116)) % 0.36/0.62 (step @p169 :rule refl :args (@t87)) % 0.36/0.62 (step @p170 :rule nary_cong :premises (@p169 @p168 @p167) :args ((or @t87 @t116 (not @t103)))) % 0.36/0.62 (assume-push @p197 @t81) % 0.36/0.62 (assume-push @p198 @t109) % 0.36/0.62 (assume-push @p199 @t103) % 0.36/0.62 (step @p149 :rule evaluate :args (@t115)) % 0.36/0.62 (step @p174 :rule true_intro :premises (@p73)) % 0.36/0.62 (step @p175 :rule symm :premises (@p198)) % 0.36/0.62 (step @p151 :rule refl :args (@t80)) % 0.36/0.62 (step @p176 :rule cong :premises (@p151 @p175) :args (@t102)) % 0.36/0.62 (step @p177 :rule false_intro :premises (@p114)) % 0.36/0.62 (step @p178 :rule symm :premises (@p177)) % 0.36/0.62 (step @p179 :rule trans :premises (@p178 @p176 @p174)) % 0.36/0.62 (step @p180 false :rule eq_resolve :premises (@p179 @p149)) % 0.36/0.62 (step-pop @p200 :rule scope :premises (@p180)) % 0.36/0.62 (step-pop @p201 :rule scope :premises (@p200)) % 0.36/0.62 (step-pop @p202 :rule scope :premises (@p201)) % 0.36/0.62 (step @p181 :rule process_scope :premises (@p202) :args (false)) % 0.36/0.62 (step @p185 :rule not_and :premises (@p181)) % 0.36/0.62 (step @p186 :rule eq_resolve :premises (@p185 @p170)) % 0.36/0.62 (step @p187 :rule reordering :premises (@p186) :args ((or @t87 @t102 @t116))) % 0.36/0.62 (step @p188 false :rule chain_m_resolution :premises (@p187 @p166 @p114 @p73) :args (false (@list false true false) (@list @t109 @t102 @t81))) % 0.36/0.62 ) % 0.36/0.62 % SZS output end Proof % 0.36/0.62 % cvc5 exiting %------------------------------------------------------------------------------