%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV373+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 : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:01:18 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV373+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n006.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 20:06:04 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.bottom $$unsorted) % 0.38/0.61 (declare-const tptp.create_slb $$unsorted) % 0.38/0.61 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.ok (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.bad $$unsorted) % 0.38/0.61 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (define @t1 () (@var "W" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.61 (define @t3 () (@var "V" $$unsorted)) % 0.38/0.61 (define @t4 () (tptp.less_than @t2 @t3)) % 0.38/0.61 (define @t5 () (@list @t2 @t3 @t1)) % 0.38/0.61 (define @t6 () (tptp.less_than @t3 @t2)) % 0.38/0.61 (define @t7 () (@list @t2 @t3)) % 0.38/0.61 (define @t8 () (@list @t2)) % 0.38/0.61 (define @t9 () (tptp.pair @t3 @t1)) % 0.38/0.61 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.38/0.61 (define @t11 () (= @t3 @t1)) % 0.38/0.61 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.38/0.61 (define @t13 () (@var "X" $$unsorted)) % 0.38/0.61 (define @t14 () (tptp.pair @t3 @t13)) % 0.38/0.61 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.38/0.61 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.38/0.61 (define @t17 () (@var "Y" $$unsorted)) % 0.38/0.61 (define @t18 () (@list @t2 @t3 @t1 @t13 @t17)) % 0.38/0.61 (define @t19 () (and (not @t11) @t12)) % 0.38/0.61 (define @t20 () (tptp.update_slb @t2 @t1)) % 0.38/0.61 (define @t21 () (tptp.update_slb @t15 @t1)) % 0.38/0.61 (define @t22 () (tptp.succ_cpq @t2 @t3)) % 0.38/0.61 (define @t23 () (tptp.triple @t2 tptp.create_slb @t3)) % 0.38/0.61 (define @t24 () (tptp.triple @t2 @t3 @t1)) % 0.38/0.61 (define @t25 () (tptp.check_cpq (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t13 @t17)) @t1))) % 0.38/0.61 (define @t26 () (tptp.contains_slb @t3 @t13)) % 0.38/0.61 (define @t27 () (tptp.triple @t2 @t3 tptp.bad)) % 0.38/0.61 (define @t28 () (tptp.remove_cpq @t24 @t13)) % 0.38/0.61 (define @t29 () (tptp.remove_slb @t3 @t13)) % 0.38/0.61 (define @t30 () (tptp.remove_pqp @t2 @t13)) % 0.38/0.61 (define @t31 () (tptp.lookup_slb @t3 @t13)) % 0.38/0.61 (define @t32 () (tptp.findmin_pqp_res @t2)) % 0.38/0.61 (define @t33 () (tptp.update_slb @t3 @t32)) % 0.38/0.61 (define @t34 () (tptp.findmin_cpq_eff @t24)) % 0.38/0.61 (define @t35 () (= @t34 (tptp.triple @t2 @t33 tptp.bad))) % 0.38/0.61 (define @t36 () (tptp.contains_slb @t3 @t32)) % 0.38/0.61 (define @t37 () (= @t3 tptp.create_slb)) % 0.38/0.61 (define @t38 () (not @t37)) % 0.38/0.61 (define @t39 () (tptp.lookup_slb @t3 @t32)) % 0.38/0.61 (define @t40 () (tptp.less_than @t39 @t32)) % 0.38/0.61 (define @t41 () (and @t38 @t36 @t40)) % 0.38/0.61 (define @t42 () (tptp.findmin_cpq_res @t24)) % 0.38/0.61 (define @t43 () (=> @t38 (= @t42 @t32))) % 0.38/0.61 (define @t44 () (forall @t16 @t43)) % 0.38/0.61 (define @t45 () (tptp.findmin_cpq_res @t2)) % 0.38/0.61 (define @t46 () (tptp.ok @t34)) % 0.38/0.61 (define @t47 () (forall @t5 (=> @t46 @t41))) % 0.38/0.61 (define @t48 () (not @t46)) % 0.38/0.61 (define @t49 () (tptp.contains_cpq @t24 @t42)) % 0.38/0.61 (define @t50 () (not @t49)) % 0.38/0.61 (define @t51 () (forall @t5 (=> @t50 @t48))) % 0.38/0.61 (define @t52 () (not @t51)) % 0.38/0.61 (define @t53 () (forall @t5 (or @t49 @t48))) % 0.38/0.61 (define @t54 () (@quantifiers_skolemize @t53 2)) % 0.38/0.61 (define @t55 () (@quantifiers_skolemize @t53 1)) % 0.38/0.61 (define @t56 () (@quantifiers_skolemize @t53 0)) % 0.38/0.61 (define @t57 () (tptp.triple @t56 @t55 @t54)) % 0.38/0.61 (define @t58 () (tptp.findmin_cpq_res @t57)) % 0.38/0.61 (define @t59 () (tptp.ok (tptp.findmin_cpq_eff @t57))) % 0.38/0.61 (define @t60 () (not @t59)) % 0.38/0.61 (define @t61 () (tptp.contains_cpq @t57 @t58)) % 0.38/0.61 (define @t62 () (or @t61 @t60)) % 0.38/0.61 (define @t63 () (@list true)) % 0.38/0.61 (define @t64 () (@list @t62)) % 0.38/0.61 (define @t65 () (tptp.contains_slb @t55 @t58)) % 0.38/0.61 (define @t66 () (= @t61 @t65)) % 0.38/0.61 (define @t67 () (not @t65)) % 0.38/0.61 (define @t68 () (@list true false)) % 0.38/0.61 (define @t69 () (@var "BOUND_VARIABLE_7814" $$unsorted)) % 0.38/0.61 (define @t70 () (@var "BOUND_VARIABLE_7812" $$unsorted)) % 0.38/0.61 (define @t71 () (@var "BOUND_VARIABLE_7810" $$unsorted)) % 0.38/0.61 (define @t72 () (tptp.findmin_pqp_res @t71)) % 0.38/0.61 (define @t73 () (forall (@list @t71 @t70 @t69) (or (tptp.less_than (tptp.lookup_slb @t70 @t72) @t72) (not (tptp.ok (tptp.findmin_cpq_eff (tptp.triple @t71 @t70 @t69))))))) % 0.38/0.61 (define @t74 () (@var "BOUND_VARIABLE_7799" $$unsorted)) % 0.38/0.61 (define @t75 () (@var "BOUND_VARIABLE_7797" $$unsorted)) % 0.38/0.61 (define @t76 () (@var "BOUND_VARIABLE_7795" $$unsorted)) % 0.38/0.61 (define @t77 () (forall (@list @t76 @t75 @t74) (or (tptp.contains_slb @t75 (tptp.findmin_pqp_res @t76)) (not (tptp.ok (tptp.findmin_cpq_eff (tptp.triple @t76 @t75 @t74))))))) % 0.38/0.61 (define @t78 () (@var "BOUND_VARIABLE_7784" $$unsorted)) % 0.38/0.61 (define @t79 () (@var "BOUND_VARIABLE_7780" $$unsorted)) % 0.38/0.61 (define @t80 () (not (tptp.ok (tptp.findmin_cpq_eff (tptp.triple @t79 tptp.create_slb @t78))))) % 0.38/0.61 (define @t81 () (not (= tptp.create_slb tptp.create_slb))) % 0.38/0.61 (define @t82 () (or @t81 @t80)) % 0.38/0.61 (define @t83 () (@list @t79 @t78)) % 0.38/0.61 (define @t84 () (@var "BOUND_VARIABLE_7782" $$unsorted)) % 0.38/0.61 (define @t85 () (not (tptp.ok (tptp.findmin_cpq_eff (tptp.triple @t79 @t84 @t78))))) % 0.38/0.61 (define @t86 () (not (= tptp.create_slb @t84))) % 0.38/0.61 (define @t87 () (not (= @t84 tptp.create_slb))) % 0.38/0.61 (define @t88 () (@list @t84)) % 0.38/0.61 (define @t89 () (or @t86 @t86 @t85)) % 0.38/0.61 (define @t90 () (or @t86 @t85)) % 0.38/0.61 (define @t91 () (forall @t88 @t90)) % 0.38/0.61 (define @t92 () (forall @t83 @t91)) % 0.38/0.61 (define @t93 () (forall (@list @t79 @t78 @t84) @t90)) % 0.38/0.61 (define @t94 () (@list @t79 @t84 @t78)) % 0.38/0.61 (define @t95 () (or @t87 @t85)) % 0.38/0.61 (define @t96 () (forall @t94 @t95)) % 0.38/0.61 (define @t97 () (or @t40 @t48)) % 0.38/0.61 (define @t98 () (forall @t5 @t97)) % 0.38/0.61 (define @t99 () (@list @t2 @t3 @t1)) % 0.38/0.61 (define @t100 () (or @t36 @t48)) % 0.38/0.61 (define @t101 () (forall @t5 @t100)) % 0.38/0.61 (define @t102 () (or @t38 @t48)) % 0.38/0.61 (define @t103 () (forall @t5 @t102)) % 0.38/0.61 (define @t104 () (and @t103 @t101 @t98)) % 0.38/0.61 (define @t105 () (and @t102 @t100 @t97)) % 0.38/0.61 (define @t106 () (or @t41 @t48)) % 0.38/0.61 (define @t107 () (or @t48 @t41)) % 0.38/0.61 (define @t108 () (@list @t56 @t55 @t54)) % 0.38/0.61 (define @t109 () (tptp.findmin_pqp_res @t56)) % 0.38/0.61 (define @t110 () (tptp.contains_slb @t55 @t109)) % 0.38/0.61 (define @t111 () (or @t110 @t60)) % 0.38/0.61 (define @t112 () (= @t32 @t42)) % 0.38/0.61 (define @t113 () (or @t37 @t112)) % 0.38/0.61 (define @t114 () (forall @t5 @t113)) % 0.38/0.61 (define @t115 () (or (= @t55 tptp.create_slb) (= @t109 @t58))) % 0.38/0.61 (define @t116 () (= @t58 @t109)) % 0.38/0.61 (define @t117 () (= tptp.create_slb @t55)) % 0.38/0.61 (define @t118 () (or @t117 @t116)) % 0.38/0.61 (define @t119 () (tptp.contains_slb tptp.create_slb @t109)) % 0.38/0.61 (define @t120 () (not @t117)) % 0.38/0.61 (define @t121 () (not @t110)) % 0.38/0.61 (define @t122 () (not @t119)) % 0.38/0.61 (define @t123 () (not @t116)) % 0.38/0.61 (define @t124 () (and @t67 @t116 @t110)) % 0.38/0.61 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.38/0.61 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.38/0.61 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.38/0.61 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.38/0.61 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.38/0.61 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.38/0.61 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.38/0.61 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.38/0.61 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.38/0.61 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.38/0.61 (assume @p11 (forall @t18 (= (tptp.pair_in_list @t15 @t1 @t17) (or (tptp.pair_in_list @t2 @t1 @t17) (and @t11 (= @t13 @t17)))))) % 0.38/0.61 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.38/0.61 (assume @p13 (forall @t16 (=> @t19 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.38/0.61 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.38/0.61 (assume @p15 (forall @t16 (=> @t19 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.38/0.61 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.38/0.61 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t21 (tptp.insert_slb @t20 @t9))))) % 0.38/0.61 (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t21 (tptp.insert_slb @t20 @t14))))) % 0.38/0.61 (assume @p19 (forall @t8 (tptp.succ_cpq @t2 @t2))) % 0.38/0.61 (assume @p20 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1))))) % 0.38/0.61 (assume @p21 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1))))) % 0.38/0.61 (assume @p22 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3))))) % 0.38/0.61 (assume @p23 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3))))) % 0.38/0.61 (assume @p24 (forall @t7 (tptp.check_cpq @t23))) % 0.38/0.61 (assume @p25 (forall @t18 (=> (tptp.less_than @t17 @t13) (= @t25 (tptp.check_cpq @t24))))) % 0.38/0.61 (assume @p26 (forall @t18 (=> (tptp.strictly_less_than @t13 @t17) (= @t25 false)))) % 0.38/0.61 (assume @p27 (forall @t16 (= (tptp.contains_cpq @t24 @t13) @t26))) % 0.38/0.61 (assume @p28 (forall @t7 (= (tptp.ok @t27) false))) % 0.38/0.61 (assume @p29 (forall @t5 (=> (not (tptp.ok @t24)) (= @t1 tptp.bad)))) % 0.38/0.61 (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)))) % 0.38/0.61 (assume @p31 (forall @t16 (=> (not @t26) (= @t28 @t27)))) % 0.38/0.61 (assume @p32 (forall @t16 (=> (and @t26 (tptp.less_than @t31 @t13)) (= @t28 (tptp.triple @t30 @t29 @t1))))) % 0.38/0.61 (assume @p33 (forall @t16 (=> (and @t26 (tptp.strictly_less_than @t13 @t31)) (= @t28 (tptp.triple @t30 @t29 tptp.bad))))) % 0.38/0.61 (assume @p34 (forall @t7 (= (tptp.findmin_cpq_eff @t23) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 0.38/0.61 (assume @p35 (forall @t16 (=> (and @t38 (not @t36)) @t35))) % 0.38/0.61 (assume @p36 (forall @t16 (=> (and @t38 @t36 (tptp.strictly_less_than @t32 @t39)) @t35))) % 0.38/0.61 (assume @p37 (forall @t16 (=> @t41 (= @t34 (tptp.triple @t2 @t33 @t1))))) % 0.38/0.61 (assume @p38 (forall @t7 (= (tptp.findmin_cpq_res @t23) tptp.bottom))) % 0.38/0.61 (assume @p39 @t44) % 0.38/0.61 (assume @p40 (forall @t8 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t45)))) % 0.38/0.61 (assume @p41 (forall @t8 (= (tptp.removemin_cpq_res @t2) @t45))) % 0.38/0.61 (assume @p42 @t47) % 0.38/0.61 (assume @p43 @t52) % 0.38/0.61 (assume @p44 true) % 0.38/0.61 (step @p45 :rule instantiate :premises (@p27) :args ((@list @t56 @t55 @t54 @t58))) % 0.38/0.61 (step @p46 :rule refl :args (@t48)) % 0.38/0.61 (step @p47 :rule bool-double-not-elim :args (@t49)) % 0.38/0.61 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t50) @t48))) % 0.38/0.61 (step @p49 :rule bool-impl-elim :args (@t50 @t48)) % 0.38/0.61 (step @p50 :rule trans :premises (@p49 @p48)) % 0.38/0.61 (step @p51 :rule cong :premises (@p50) :args (@t51)) % 0.38/0.61 (step @p52 :rule cong :premises (@p51) :args (@t52)) % 0.38/0.61 (step @p53 :rule eq_resolve :premises (@p43 @p52)) % 0.38/0.61 (step @p54 :rule skolemize :premises (@p53)) % 0.38/0.61 (step @p55 :rule cnf_or_neg :args (@t62 0)) % 0.38/0.61 (step @p56 :rule chain_m_resolution :premises (@p55 @p54) :args ((not @t61) @t63 @t64)) % 0.38/0.61 (step @p57 :rule cnf_equiv_pos2 :args (@t66)) % 0.38/0.61 (step @p58 :rule reordering :premises (@p57) :args ((or @t61 @t67 (not @t66)))) % 0.38/0.61 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p45) :args (@t67 @t68 (@list @t61 @t66))) % 0.38/0.61 (step @p60 :rule refl :args (@t73)) % 0.38/0.61 (step @p61 :rule refl :args (@t77)) % 0.38/0.61 (step @p62 :rule aci_norm :args ((= (or false @t80) @t80))) % 0.38/0.61 (step @p63 :rule refl :args (@t80)) % 0.38/0.61 (step @p64 :rule evaluate :args ((not true))) % 0.38/0.61 (step @p65 :rule eq-refl :args (tptp.create_slb)) % 0.38/0.61 (step @p66 :rule cong :premises (@p65) :args (@t81)) % 0.38/0.61 (step @p67 :rule trans :premises (@p66 @p64)) % 0.38/0.61 (step @p68 :rule nary_cong :premises (@p67 @p63) :args (@t82)) % 0.38/0.61 (step @p69 :rule trans :premises (@p68 @p62)) % 0.38/0.61 (step @p70 :rule cong :premises (@p69) :args ((forall @t83 @t82))) % 0.38/0.61 (step @p71 :rule quant-var-elim-eq :args ((= (forall @t88 (or @t87 @t86 @t85)) @t82))) % 0.38/0.61 (step @p72 :rule refl :args (@t85)) % 0.38/0.61 (step @p73 :rule refl :args (@t86)) % 0.38/0.61 (step @p74 :rule eq-symm :args (tptp.create_slb @t84)) % 0.38/0.61 (step @p75 :rule cong :premises (@p74) :args (@t86)) % 0.38/0.61 (step @p76 :rule nary_cong :premises (@p75 @p73 @p72) :args (@t89)) % 0.38/0.61 (step @p77 :rule aci_norm :args ((= @t90 @t89))) % 0.38/0.61 (step @p78 :rule trans :premises (@p77 @p76)) % 0.38/0.61 (step @p79 :rule cong :premises (@p78) :args (@t91)) % 0.38/0.61 (step @p80 :rule trans :premises (@p79 @p71)) % 0.38/0.61 (step @p81 :rule cong :premises (@p80) :args (@t92)) % 0.38/0.61 (step @p82 :rule quant-merge-prenex :args ((= @t92 @t93))) % 0.38/0.61 (step @p83 :rule symm :premises (@p82)) % 0.38/0.61 (step @p84 :rule quant_var_reordering :args ((= (forall @t94 @t90) @t93))) % 0.38/0.61 (step @p85 :rule trans :premises (@p84 @p83 @p81)) % 0.38/0.61 (step @p86 :rule trans :premises (@p85 @p70)) % 0.38/0.61 (step @p87 :rule refl :args (@t85)) % 0.38/0.61 (step @p88 :rule eq-symm :args (@t84 tptp.create_slb)) % 0.38/0.61 (step @p89 :rule cong :premises (@p88) :args (@t87)) % 0.38/0.61 (step @p90 :rule nary_cong :premises (@p89 @p87) :args (@t95)) % 0.38/0.61 (step @p91 :rule cong :premises (@p90) :args (@t96)) % 0.38/0.61 (step @p92 :rule trans :premises (@p91 @p86)) % 0.38/0.61 (step @p93 :rule nary_cong :premises (@p92 @p61 @p60) :args ((and @t96 @t77 @t73))) % 0.38/0.61 (step @p94 :rule alpha_equiv :args (@t98 @t99 (@list @t71 @t70 @t69))) % 0.38/0.61 (step @p95 :rule alpha_equiv :args (@t101 @t99 (@list @t76 @t75 @t74))) % 0.38/0.61 (step @p96 :rule alpha_equiv :args (@t103 @t99 (@list @t79 @t84 @t78))) % 0.38/0.61 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94) :args (@t104)) % 0.38/0.61 (step @p98 :rule quant-miniscope-and :args ((= (forall @t5 @t105) @t104))) % 0.38/0.61 (step @p99 :rule trans :premises (@p98 @p97)) % 0.38/0.61 (step @p100 :rule trans :premises (@p99 @p93)) % 0.38/0.61 (step @p101 :rule aci_norm :args ((= (and @t102 (and @t100 @t97)) @t105))) % 0.38/0.61 (step @p102 :rule bool-or-and-distrib :args (@t36 @t40 true @t48 false)) % 0.38/0.61 (step @p103 :rule refl :args (@t102)) % 0.38/0.61 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((and @t102 (or (and @t36 @t40) @t48)))) % 0.38/0.61 (step @p105 :rule bool-or-and-distrib :args (@t38 @t36 (and @t40) @t48 false)) % 0.38/0.61 (step @p106 :rule trans :premises (@p105 @p104)) % 0.38/0.61 (step @p107 :rule trans :premises (@p106 @p101)) % 0.38/0.61 (step @p108 :rule cong :premises (@p107) :args ((forall @t5 @t106))) % 0.38/0.61 (step @p109 :rule trans :premises (@p108 @p100)) % 0.38/0.61 (step @p110 :rule aci_norm :args ((= @t107 @t106))) % 0.38/0.61 (step @p111 :rule cong :premises (@p110) :args ((forall @t5 @t107))) % 0.38/0.61 (step @p112 :rule trans :premises (@p111 @p109)) % 0.38/0.61 (step @p113 :rule bool-impl-elim :args (@t46 @t41)) % 0.38/0.61 (step @p114 :rule cong :premises (@p113) :args (@t47)) % 0.38/0.61 (step @p115 :rule trans :premises (@p114 @p112)) % 0.38/0.61 (step @p116 :rule eq_resolve :premises (@p42 @p115)) % 0.38/0.61 (step @p117 :rule and_elim :premises (@p116) :args (1)) % 0.38/0.61 (step @p118 :rule instantiate :premises (@p117) :args (@t108)) % 0.38/0.61 (step @p119 :rule bool-double-not-elim :args (@t59)) % 0.38/0.61 (step @p120 :rule refl :args (@t62)) % 0.38/0.61 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t62 (not @t60)))) % 0.38/0.61 (step @p122 :rule cnf_or_neg :args (@t62 1)) % 0.38/0.61 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.38/0.61 (step @p124 :rule reordering :premises (@p123) :args ((or @t59 @t62))) % 0.38/0.61 (step @p125 :rule chain_m_resolution :premises (@p124 @p54) :args (@t59 @t63 @t64)) % 0.38/0.61 (step @p126 :rule cnf_or_pos :args (@t111)) % 0.38/0.61 (step @p127 :rule reordering :premises (@p126) :args ((or @t60 @t110 (not @t111)))) % 0.38/0.61 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p118) :args (@t110 (@list false false) (@list @t59 @t111))) % 0.38/0.61 (step @p129 :rule quant-unused-vars :args ((= (forall @t16 @t113) @t114))) % 0.38/0.61 (step @p130 :rule refl :args (@t112)) % 0.38/0.61 (step @p131 :rule bool-double-not-elim :args (@t37)) % 0.38/0.61 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or (not @t38) @t112))) % 0.38/0.61 (step @p133 :rule bool-impl-elim :args (@t38 @t112)) % 0.38/0.61 (step @p134 :rule trans :premises (@p133 @p132)) % 0.38/0.61 (step @p135 :rule cong :premises (@p134) :args ((forall @t16 (=> @t38 @t112)))) % 0.38/0.61 (step @p136 :rule trans :premises (@p135 @p129)) % 0.38/0.61 (step @p137 :rule eq-symm :args (@t42 @t32)) % 0.38/0.61 (step @p138 :rule refl :args (@t38)) % 0.38/0.61 (step @p139 :rule cong :premises (@p138 @p137) :args (@t43)) % 0.38/0.61 (step @p140 :rule cong :premises (@p139) :args (@t44)) % 0.38/0.61 (step @p141 :rule trans :premises (@p140 @p136)) % 0.38/0.61 (step @p142 :rule eq_resolve :premises (@p39 @p141)) % 0.38/0.61 (step @p143 :rule eq-symm :args (@t109 @t58)) % 0.38/0.61 (step @p144 :rule eq-symm :args (@t55 tptp.create_slb)) % 0.38/0.61 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t115)) % 0.38/0.61 (step @p146 :rule refl :args (@t114)) % 0.38/0.61 (step @p147 :rule cong :premises (@p146 @p145) :args ((=> @t114 @t115))) % 0.38/0.61 (assume-push @p213 @t114) % 0.38/0.61 (step @p149 :rule instantiate :premises (@p142) :args (@t108)) % 0.38/0.61 (step-pop @p214 :rule scope :premises (@p149)) % 0.38/0.61 (step @p150 :rule process_scope :premises (@p214) :args (@t115)) % 0.38/0.61 (step @p152 :rule eq_resolve :premises (@p150 @p147)) % 0.38/0.61 (step @p153 :rule implies_elim :premises (@p152)) % 0.38/0.61 (step @p154 :rule chain_m_resolution :premises (@p153 @p142) :args (@t118 (@list false) (@list @t114))) % 0.38/0.61 (step @p155 :rule instantiate :premises (@p8) :args ((@list @t109))) % 0.38/0.61 (step @p156 :rule bool-double-not-elim :args (@t119)) % 0.38/0.61 (step @p157 :rule refl :args (@t120)) % 0.38/0.61 (step @p158 :rule refl :args (@t121)) % 0.38/0.61 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156) :args ((or @t121 @t120 (not @t122)))) % 0.38/0.61 (assume-push @p215 @t110) % 0.38/0.61 (assume-push @p216 @t117) % 0.38/0.61 (assume-push @p217 @t122) % 0.38/0.61 (step @p163 :rule evaluate :args ((= false true))) % 0.38/0.61 (step @p164 :rule true_intro :premises (@p128)) % 0.38/0.61 (step @p165 :rule refl :args (@t109)) % 0.38/0.61 (step @p166 :rule cong :premises (@p216 @p165) :args (@t119)) % 0.38/0.61 (step @p167 :rule false_intro :premises (@p155)) % 0.38/0.61 (step @p168 :rule symm :premises (@p167)) % 0.38/0.61 (step @p169 :rule trans :premises (@p168 @p166 @p164)) % 0.38/0.61 (step @p170 false :rule eq_resolve :premises (@p169 @p163)) % 0.38/0.61 (step-pop @p218 :rule scope :premises (@p170)) % 0.38/0.61 (step-pop @p219 :rule scope :premises (@p218)) % 0.38/0.61 (step-pop @p220 :rule scope :premises (@p219)) % 0.38/0.61 (step @p171 :rule process_scope :premises (@p220) :args (false)) % 0.38/0.61 (step @p175 :rule not_and :premises (@p171)) % 0.38/0.61 (step @p176 :rule eq_resolve :premises (@p175 @p159)) % 0.38/0.61 (step @p177 :rule chain_m_resolution :premises (@p176 @p128 @p155) :args (@t120 (@list false true) (@list @t110 @t119))) % 0.38/0.61 (step @p178 :rule cnf_or_pos :args (@t118)) % 0.38/0.61 (step @p179 :rule reordering :premises (@p178) :args ((or @t117 @t116 (not @t118)))) % 0.38/0.61 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p154) :args (@t116 @t68 (@list @t117 @t118))) % 0.38/0.61 (step @p181 :rule bool-double-not-elim :args (@t65)) % 0.38/0.61 (step @p182 :rule refl :args (@t123)) % 0.38/0.61 (step @p183 :rule nary_cong :premises (@p158 @p182 @p181) :args ((or @t121 @t123 (not @t67)))) % 0.38/0.61 (assume-push @p221 @t67) % 0.38/0.61 (assume-push @p222 @t116) % 0.38/0.61 (assume-push @p223 @t110) % 0.38/0.61 (step @p187 :rule evaluate :args ((= true false))) % 0.38/0.61 (step @p188 :rule false_intro :premises (@p59)) % 0.38/0.61 (step @p189 :rule symm :premises (@p222)) % 0.38/0.61 (step @p190 :rule refl :args (@t55)) % 0.38/0.61 (step @p191 :rule cong :premises (@p190 @p189) :args (@t110)) % 0.38/0.61 (step @p164 :rule true_intro :premises (@p128)) % 0.38/0.61 (step @p192 :rule symm :premises (@p164)) % 0.38/0.61 (step @p193 :rule trans :premises (@p192 @p191 @p188)) % 0.38/0.61 (step @p194 false :rule eq_resolve :premises (@p193 @p187)) % 0.38/0.61 (step-pop @p224 :rule scope :premises (@p194)) % 0.38/0.61 (step-pop @p225 :rule scope :premises (@p224)) % 0.38/0.61 (step-pop @p226 :rule scope :premises (@p225)) % 0.38/0.61 (step @p195 :rule process_scope :premises (@p226) :args (false)) % 0.38/0.61 (assume-push @p227 @t110) % 0.38/0.61 (assume-push @p228 @t116) % 0.38/0.61 (assume-push @p229 @t67) % 0.38/0.61 (step @p202 :rule and_intro :premises (@p59 @p228 @p128)) % 0.38/0.61 (step-pop @p230 :rule scope :premises (@p202)) % 0.38/0.61 (step-pop @p231 :rule scope :premises (@p230)) % 0.38/0.61 (step-pop @p232 :rule scope :premises (@p231)) % 0.38/0.61 (step @p203 :rule process_scope :premises (@p232) :args (@t124)) % 0.38/0.61 (step @p207 :rule implies_elim :premises (@p203)) % 0.38/0.61 (step @p208 :rule resolution :premises (@p207 @p195) :args (true @t124)) % 0.38/0.61 (step @p209 :rule not_and :premises (@p208)) % 0.38/0.61 (step @p210 :rule eq_resolve :premises (@p209 @p183)) % 0.38/0.61 (step @p211 :rule reordering :premises (@p210) :args ((or @t65 @t121 @t123))) % 0.38/0.61 (step @p212 false :rule chain_m_resolution :premises (@p211 @p180 @p128 @p59) :args (false (@list false false true) (@list @t116 @t110 @t65))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------