%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV404+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 0.44s 0.64s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV404+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 20:07:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.64 % SZS status Theorem % 0.44/0.64 % SZS output start Proof % 0.44/0.64 ( % 0.44/0.64 (declare-sort $$unsorted 0) % 0.44/0.64 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.bottom $$unsorted) % 0.44/0.64 (declare-const tptp.create_slb $$unsorted) % 0.44/0.64 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.ok (-> $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.bad $$unsorted) % 0.44/0.64 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (define @t1 () (@var "W" $$unsorted)) % 0.44/0.64 (define @t2 () (@var "U" $$unsorted)) % 0.44/0.64 (define @t3 () (@var "V" $$unsorted)) % 0.44/0.64 (define @t4 () (tptp.less_than @t2 @t3)) % 0.44/0.64 (define @t5 () (@list @t2 @t3 @t1)) % 0.44/0.64 (define @t6 () (tptp.less_than @t3 @t2)) % 0.44/0.64 (define @t7 () (@list @t2 @t3)) % 0.44/0.64 (define @t8 () (@list @t2)) % 0.44/0.64 (define @t9 () (tptp.pair @t3 @t1)) % 0.44/0.64 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.44/0.64 (define @t11 () (= @t3 @t1)) % 0.44/0.64 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.44/0.64 (define @t13 () (@var "X" $$unsorted)) % 0.44/0.64 (define @t14 () (tptp.pair @t3 @t13)) % 0.44/0.64 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.44/0.64 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.44/0.64 (define @t17 () (@var "Y" $$unsorted)) % 0.44/0.64 (define @t18 () (@list @t2 @t3 @t1 @t13 @t17)) % 0.44/0.64 (define @t19 () (and (not @t11) @t12)) % 0.44/0.64 (define @t20 () (tptp.update_slb @t2 @t1)) % 0.44/0.64 (define @t21 () (tptp.update_slb @t15 @t1)) % 0.44/0.64 (define @t22 () (tptp.succ_cpq @t2 @t3)) % 0.44/0.64 (define @t23 () (tptp.triple @t2 tptp.create_slb @t3)) % 0.44/0.64 (define @t24 () (tptp.triple @t2 @t3 @t1)) % 0.44/0.64 (define @t25 () (tptp.check_cpq @t24)) % 0.44/0.64 (define @t26 () (tptp.check_cpq (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t13 @t17)) @t1))) % 0.44/0.64 (define @t27 () (tptp.contains_slb @t3 @t13)) % 0.44/0.64 (define @t28 () (tptp.triple @t2 @t3 tptp.bad)) % 0.44/0.64 (define @t29 () (tptp.remove_cpq @t24 @t13)) % 0.44/0.64 (define @t30 () (tptp.remove_slb @t3 @t13)) % 0.44/0.64 (define @t31 () (tptp.remove_pqp @t2 @t13)) % 0.44/0.64 (define @t32 () (tptp.lookup_slb @t3 @t13)) % 0.44/0.64 (define @t33 () (tptp.findmin_pqp_res @t2)) % 0.44/0.64 (define @t34 () (tptp.update_slb @t3 @t33)) % 0.44/0.64 (define @t35 () (tptp.findmin_cpq_eff @t24)) % 0.44/0.64 (define @t36 () (= @t35 (tptp.triple @t2 @t34 tptp.bad))) % 0.44/0.64 (define @t37 () (tptp.contains_slb @t3 @t33)) % 0.44/0.64 (define @t38 () (not @t37)) % 0.44/0.64 (define @t39 () (= @t3 tptp.create_slb)) % 0.44/0.64 (define @t40 () (not @t39)) % 0.44/0.64 (define @t41 () (and @t40 @t38)) % 0.44/0.64 (define @t42 () (forall @t16 (=> @t41 @t36))) % 0.44/0.64 (define @t43 () (tptp.lookup_slb @t3 @t33)) % 0.44/0.64 (define @t44 () (tptp.strictly_less_than @t33 @t43)) % 0.44/0.64 (define @t45 () (and @t40 @t37 @t44)) % 0.44/0.64 (define @t46 () (forall @t16 (=> @t45 @t36))) % 0.44/0.64 (define @t47 () (= @t35 (tptp.triple @t2 @t34 @t1))) % 0.44/0.64 (define @t48 () (tptp.less_than @t43 @t33)) % 0.44/0.64 (define @t49 () (and @t40 @t37 @t48)) % 0.44/0.64 (define @t50 () (forall @t16 (=> @t49 @t47))) % 0.44/0.64 (define @t51 () (tptp.findmin_cpq_res @t2)) % 0.44/0.64 (define @t52 () (tptp.ok @t29)) % 0.44/0.64 (define @t53 () (tptp.check_cpq @t29)) % 0.44/0.64 (define @t54 () (and @t53 @t52)) % 0.44/0.64 (define @t55 () (forall @t16 (=> @t54 @t25))) % 0.44/0.64 (define @t56 () (not (tptp.check_cpq @t35))) % 0.44/0.64 (define @t57 () (not @t25)) % 0.44/0.64 (define @t58 () (forall @t5 (=> @t57 @t56))) % 0.44/0.64 (define @t59 () (tptp.removemin_cpq_eff @t24)) % 0.44/0.64 (define @t60 () (tptp.ok @t59)) % 0.44/0.64 (define @t61 () (tptp.check_cpq @t59)) % 0.44/0.64 (define @t62 () (and @t61 @t60)) % 0.44/0.64 (define @t63 () (forall @t5 (=> @t62 @t25))) % 0.44/0.64 (define @t64 () (not @t63)) % 0.44/0.64 (define @t65 () (not @t60)) % 0.44/0.64 (define @t66 () (not @t61)) % 0.44/0.64 (define @t67 () (or @t66 @t65 @t25)) % 0.44/0.64 (define @t68 () (forall @t5 @t67)) % 0.44/0.64 (define @t69 () (@quantifiers_skolemize @t68 2)) % 0.44/0.64 (define @t70 () (@quantifiers_skolemize @t68 1)) % 0.44/0.64 (define @t71 () (@quantifiers_skolemize @t68 0)) % 0.44/0.64 (define @t72 () (tptp.triple @t71 @t70 @t69)) % 0.44/0.64 (define @t73 () (tptp.check_cpq @t72)) % 0.44/0.64 (define @t74 () (tptp.removemin_cpq_eff @t72)) % 0.44/0.64 (define @t75 () (tptp.ok @t74)) % 0.44/0.64 (define @t76 () (not @t75)) % 0.44/0.64 (define @t77 () (tptp.check_cpq @t74)) % 0.44/0.64 (define @t78 () (not @t77)) % 0.44/0.64 (define @t79 () (or @t78 @t76 @t73)) % 0.44/0.64 (define @t80 () (not @t73)) % 0.44/0.64 (define @t81 () (@list true)) % 0.44/0.64 (define @t82 () (@list @t79)) % 0.44/0.64 (define @t83 () (or @t39 @t37 @t36)) % 0.44/0.64 (define @t84 () (forall @t5 @t83)) % 0.44/0.64 (define @t85 () (not @t40)) % 0.44/0.64 (define @t86 () (tptp.findmin_pqp_res @t71)) % 0.44/0.64 (define @t87 () (tptp.update_slb @t70 @t86)) % 0.44/0.64 (define @t88 () (tptp.triple @t71 @t87 tptp.bad)) % 0.44/0.64 (define @t89 () (tptp.findmin_cpq_eff @t72)) % 0.44/0.64 (define @t90 () (= @t89 @t88)) % 0.44/0.64 (define @t91 () (tptp.contains_slb @t70 @t86)) % 0.44/0.64 (define @t92 () (= @t70 tptp.create_slb)) % 0.44/0.64 (define @t93 () (or @t92 @t91 @t90)) % 0.44/0.64 (define @t94 () (@list @t71 @t70 @t69)) % 0.44/0.64 (define @t95 () (= tptp.create_slb @t70)) % 0.44/0.64 (define @t96 () (or @t95 @t91 @t90)) % 0.44/0.64 (define @t97 () (@list false)) % 0.44/0.64 (define @t98 () (tptp.check_cpq @t89)) % 0.44/0.64 (define @t99 () (not @t98)) % 0.44/0.64 (define @t100 () (or @t73 @t99)) % 0.44/0.64 (define @t101 () (tptp.check_cpq @t88)) % 0.44/0.64 (define @t102 () (not @t101)) % 0.44/0.64 (define @t103 () (not @t90)) % 0.44/0.64 (define @t104 () (not @t99)) % 0.44/0.64 (define @t105 () (and @t90 @t99)) % 0.44/0.64 (define @t106 () (tptp.findmin_cpq_res @t72)) % 0.44/0.64 (define @t107 () (= @t74 (tptp.remove_cpq @t89 @t106))) % 0.44/0.64 (define @t108 () (tptp.remove_cpq @t88 @t106)) % 0.44/0.64 (define @t109 () (tptp.check_cpq @t108)) % 0.44/0.64 (define @t110 () (and @t77 @t90 @t107)) % 0.44/0.64 (define @t111 () (tptp.ok @t108)) % 0.44/0.64 (define @t112 () (and @t75 @t90 @t107)) % 0.44/0.64 (define @t113 () (not @t52)) % 0.44/0.64 (define @t114 () (not @t53)) % 0.44/0.64 (define @t115 () (not @t111)) % 0.44/0.64 (define @t116 () (not @t109)) % 0.44/0.64 (define @t117 () (or @t116 @t115 @t101)) % 0.44/0.64 (define @t118 () (@list false false false false false false false true true)) % 0.44/0.64 (define @t119 () (not @t44)) % 0.44/0.64 (define @t120 () (or @t39 @t38 @t119 @t36)) % 0.44/0.64 (define @t121 () (forall @t5 @t120)) % 0.44/0.64 (define @t122 () (or @t85 @t38 @t119)) % 0.44/0.64 (define @t123 () (tptp.lookup_slb @t70 @t86)) % 0.44/0.64 (define @t124 () (tptp.strictly_less_than @t86 @t123)) % 0.44/0.64 (define @t125 () (not @t124)) % 0.44/0.64 (define @t126 () (not @t91)) % 0.44/0.64 (define @t127 () (or @t92 @t126 @t125 @t90)) % 0.44/0.64 (define @t128 () (or @t95 @t126 @t125 @t90)) % 0.44/0.64 (define @t129 () (tptp.triple @t71 @t87 @t69)) % 0.44/0.64 (define @t130 () (tptp.check_cpq @t129)) % 0.44/0.64 (define @t131 () (not @t130)) % 0.44/0.64 (define @t132 () (= @t89 @t129)) % 0.44/0.64 (define @t133 () (not @t132)) % 0.44/0.64 (define @t134 () (and @t99 @t132)) % 0.44/0.64 (define @t135 () (tptp.remove_cpq @t129 @t106)) % 0.44/0.64 (define @t136 () (tptp.check_cpq @t135)) % 0.44/0.64 (define @t137 () (and @t77 @t107 @t132)) % 0.44/0.64 (define @t138 () (tptp.ok @t135)) % 0.44/0.64 (define @t139 () (and @t75 @t107 @t132)) % 0.44/0.64 (define @t140 () (not @t138)) % 0.44/0.64 (define @t141 () (not @t136)) % 0.44/0.64 (define @t142 () (or @t141 @t140 @t130)) % 0.44/0.64 (define @t143 () (not @t48)) % 0.44/0.64 (define @t144 () (or @t39 @t38 @t143 @t47)) % 0.44/0.64 (define @t145 () (forall @t5 @t144)) % 0.44/0.64 (define @t146 () (or @t85 @t38 @t143)) % 0.44/0.64 (define @t147 () (tptp.less_than @t123 @t86)) % 0.44/0.64 (define @t148 () (not @t147)) % 0.44/0.64 (define @t149 () (or @t92 @t126 @t148 @t132)) % 0.44/0.64 (define @t150 () (or @t95 @t126 @t148 @t132)) % 0.44/0.64 (define @t151 () (@list @t86 @t123)) % 0.44/0.64 (define @t152 () (tptp.less_than @t86 @t123)) % 0.44/0.64 (define @t153 () (and @t152 @t148)) % 0.44/0.64 (define @t154 () (= @t124 @t153)) % 0.44/0.64 (define @t155 () (not @t152)) % 0.44/0.64 (define @t156 () (or @t152 @t147)) % 0.44/0.64 (define @t157 () (tptp.check_cpq (tptp.triple @t71 tptp.create_slb @t69))) % 0.44/0.64 (define @t158 () (not @t157)) % 0.44/0.64 (define @t159 () (not @t95)) % 0.44/0.64 (define @t160 () (and @t157 @t95 @t80)) % 0.44/0.64 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.44/0.64 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.44/0.64 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.44/0.64 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.44/0.64 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.44/0.64 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.44/0.64 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.44/0.64 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.44/0.64 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.44/0.64 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.44/0.64 (assume @p11 (forall @t18 (= (tptp.pair_in_list @t15 @t1 @t17) (or (tptp.pair_in_list @t2 @t1 @t17) (and @t11 (= @t13 @t17)))))) % 0.44/0.64 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.44/0.64 (assume @p13 (forall @t16 (=> @t19 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.44/0.64 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.44/0.64 (assume @p15 (forall @t16 (=> @t19 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.44/0.64 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.44/0.64 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t21 (tptp.insert_slb @t20 @t9))))) % 0.44/0.64 (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t21 (tptp.insert_slb @t20 @t14))))) % 0.44/0.64 (assume @p19 (forall @t8 (tptp.succ_cpq @t2 @t2))) % 0.44/0.64 (assume @p20 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1))))) % 0.44/0.64 (assume @p21 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1))))) % 0.44/0.64 (assume @p22 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3))))) % 0.44/0.64 (assume @p23 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3))))) % 0.44/0.64 (assume @p24 (forall @t7 (tptp.check_cpq @t23))) % 0.44/0.64 (assume @p25 (forall @t18 (=> (tptp.less_than @t17 @t13) (= @t26 @t25)))) % 0.44/0.64 (assume @p26 (forall @t18 (=> (tptp.strictly_less_than @t13 @t17) (= @t26 false)))) % 0.44/0.64 (assume @p27 (forall @t16 (= (tptp.contains_cpq @t24 @t13) @t27))) % 0.44/0.64 (assume @p28 (forall @t7 (= (tptp.ok @t28) false))) % 0.44/0.64 (assume @p29 (forall @t5 (=> (not (tptp.ok @t24)) (= @t1 tptp.bad)))) % 0.44/0.64 (assume @p30 (forall @t16 (= (tptp.insert_cpq @t24 @t13) (tptp.triple (tptp.insert_pqp @t2 @t13) (tptp.insert_slb @t3 (tptp.pair @t13 tptp.bottom)) @t1)))) % 0.44/0.64 (assume @p31 (forall @t16 (=> (not @t27) (= @t29 @t28)))) % 0.44/0.64 (assume @p32 (forall @t16 (=> (and @t27 (tptp.less_than @t32 @t13)) (= @t29 (tptp.triple @t31 @t30 @t1))))) % 0.44/0.64 (assume @p33 (forall @t16 (=> (and @t27 (tptp.strictly_less_than @t13 @t32)) (= @t29 (tptp.triple @t31 @t30 tptp.bad))))) % 0.44/0.64 (assume @p34 (forall @t7 (= (tptp.findmin_cpq_eff @t23) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 0.44/0.64 (assume @p35 @t42) % 0.44/0.64 (assume @p36 @t46) % 0.44/0.64 (assume @p37 @t50) % 0.44/0.64 (assume @p38 (forall @t7 (= (tptp.findmin_cpq_res @t23) tptp.bottom))) % 0.44/0.64 (assume @p39 (forall @t16 (=> @t40 (= (tptp.findmin_cpq_res @t24) @t33)))) % 0.44/0.64 (assume @p40 (forall @t8 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t51)))) % 0.44/0.64 (assume @p41 (forall @t8 (= (tptp.removemin_cpq_res @t2) @t51))) % 0.44/0.64 (assume @p42 @t55) % 0.44/0.64 (assume @p43 @t58) % 0.44/0.64 (assume @p44 @t64) % 0.44/0.64 (assume @p45 true) % 0.44/0.64 (step @p46 :rule aci_norm :args ((= (or (or @t66 @t65) @t25) @t67))) % 0.44/0.64 (step @p47 :rule refl :args (@t25)) % 0.44/0.64 (step 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0.44/0.64 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75) :args (@t93)) % 0.44/0.64 (step @p79 :rule refl :args (@t84)) % 0.44/0.64 (step @p80 :rule cong :premises (@p79 @p78) :args ((=> @t84 @t93))) % 0.44/0.64 (assume-push @p400 @t84) % 0.44/0.64 (step @p82 :rule instantiate :premises (@p74) :args (@t94)) % 0.44/0.64 (step-pop @p401 :rule scope :premises (@p82)) % 0.44/0.64 (step @p83 :rule process_scope :premises (@p401) :args (@t93)) % 0.44/0.64 (step @p85 :rule eq_resolve :premises (@p83 @p80)) % 0.44/0.64 (step @p86 :rule implies_elim :premises (@p85)) % 0.44/0.64 (step @p87 :rule chain_m_resolution :premises (@p86 @p74) :args (@t96 @t97 (@list @t84))) % 0.44/0.64 (step @p88 :rule refl :args (@t56)) % 0.44/0.64 (step @p89 :rule bool-double-not-elim :args (@t25)) % 0.44/0.64 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t57) @t56))) % 0.44/0.64 (step @p91 :rule bool-impl-elim :args (@t57 @t56)) % 0.44/0.64 (step @p92 :rule trans :premises (@p91 @p90)) % 0.44/0.64 (step @p93 :rule cong :premises (@p92) :args (@t58)) % 0.44/0.64 (step @p94 :rule eq_resolve :premises (@p43 @p93)) % 0.44/0.64 (step @p95 :rule instantiate :premises (@p94) :args (@t94)) % 0.44/0.64 (step @p96 :rule cnf_or_pos :args (@t100)) % 0.44/0.64 (step @p97 :rule reordering :premises (@p96) :args ((or @t73 @t99 (not @t100)))) % 0.44/0.64 (step @p98 :rule chain_m_resolution :premises (@p97 @p58 @p95) :args (@t99 (@list true false) (@list @t73 @t100))) % 0.44/0.64 (step @p99 :rule refl :args (@t102)) % 0.44/0.64 (step @p100 :rule bool-double-not-elim :args (@t98)) % 0.44/0.64 (step @p101 :rule refl :args (@t103)) % 0.44/0.64 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99) :args ((or @t103 @t104 @t102))) % 0.44/0.64 (assume-push @p402 @t90) % 0.44/0.64 (assume-push @p403 @t99) % 0.44/0.64 (assume-push @p404 @t99) % 0.44/0.64 (assume-push @p405 @t90) % 0.44/0.64 (step @p107 :rule false_intro :premises (@p98)) % 0.44/0.64 (step @p108 :rule symm :premises (@p402)) % 0.44/0.64 (step @p109 :rule cong :premises (@p108) :args (@t101)) % 0.44/0.64 (step @p110 :rule trans :premises (@p109 @p107)) % 0.44/0.64 (step @p111 :rule false_elim :premises (@p110)) % 0.44/0.64 (step-pop @p406 :rule scope :premises (@p111)) % 0.44/0.64 (step-pop @p407 :rule scope :premises (@p406)) % 0.44/0.64 (step @p112 :rule process_scope :premises (@p407) :args (@t102)) % 0.44/0.64 (step @p115 :rule and_intro :premises (@p98 @p402)) % 0.44/0.64 (step @p116 :rule modus_ponens :premises (@p115 @p112)) % 0.44/0.64 (step-pop @p408 :rule scope :premises (@p116)) % 0.44/0.64 (step-pop @p409 :rule scope :premises (@p408)) % 0.44/0.64 (step @p117 :rule process_scope :premises (@p409) :args (@t102)) % 0.44/0.64 (step @p120 :rule implies_elim :premises (@p117)) % 0.44/0.64 (step @p121 :rule cnf_and_neg :args (@t105)) % 0.44/0.64 (step @p122 :rule resolution :premises (@p121 @p120) :args (true @t105)) % 0.44/0.64 (step @p123 :rule eq_resolve :premises (@p122 @p102)) % 0.44/0.64 (step @p124 :rule reordering :premises (@p123) :args ((or @t98 @t103 @t102))) % 0.44/0.64 (step @p125 :rule bool-double-not-elim :args (@t77)) % 0.44/0.64 (step @p126 :rule refl :args (@t79)) % 0.44/0.64 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t79 (not @t78)))) % 0.44/0.64 (step @p128 :rule cnf_or_neg :args (@t79 0)) % 0.44/0.64 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 0.44/0.64 (step @p130 :rule reordering :premises (@p129) :args ((or @t77 @t79))) % 0.44/0.64 (step @p131 :rule chain_m_resolution :premises (@p130 @p56) :args (@t77 @t81 @t82)) % 0.44/0.64 (step @p132 :rule instantiate :premises (@p40) :args ((@list @t72))) % 0.44/0.64 (assume-push @p410 @t77) % 0.44/0.64 (assume-push @p411 @t90) % 0.44/0.64 (assume-push @p412 @t107) % 0.44/0.64 (assume-push @p413 @t77) % 0.44/0.64 (assume-push @p414 @t107) % 0.44/0.64 (assume-push @p415 @t90) % 0.44/0.64 (step @p139 :rule true_intro :premises (@p131)) % 0.44/0.64 (step @p140 :rule symm :premises (@p132)) % 0.44/0.64 (step @p141 :rule refl :args (@t106)) % 0.44/0.64 (step @p142 :rule symm :premises (@p411)) % 0.44/0.64 (step @p143 :rule cong :premises (@p142 @p141) :args (@t108)) % 0.44/0.64 (step @p144 :rule trans :premises (@p143 @p140)) % 0.44/0.64 (step @p145 :rule cong :premises (@p144) :args (@t109)) % 0.44/0.64 (step @p146 :rule trans :premises (@p145 @p139)) % 0.44/0.64 (step @p147 :rule true_elim :premises (@p146)) % 0.44/0.64 (step-pop @p416 :rule scope :premises (@p147)) % 0.44/0.64 (step-pop @p417 :rule scope :premises (@p416)) % 0.44/0.64 (step-pop @p418 :rule scope :premises (@p417)) % 0.44/0.64 (step @p148 :rule process_scope :premises (@p418) :args (@t109)) % 0.44/0.64 (step @p152 :rule and_intro :premises (@p131 @p132 @p411)) % 0.44/0.64 (step @p153 :rule modus_ponens :premises (@p152 @p148)) % 0.44/0.64 (step-pop @p419 :rule scope :premises (@p153)) % 0.44/0.64 (step-pop @p420 :rule scope :premises (@p419)) % 0.44/0.64 (step-pop @p421 :rule scope :premises (@p420)) % 0.44/0.64 (step @p154 :rule process_scope :premises (@p421) :args (@t109)) % 0.44/0.64 (step @p158 :rule implies_elim :premises (@p154)) % 0.44/0.64 (step @p159 :rule cnf_and_neg :args (@t110)) % 0.44/0.64 (step @p160 :rule resolution :premises (@p159 @p158) :args (true @t110)) % 0.44/0.64 (step @p161 :rule bool-double-not-elim :args (@t75)) % 0.44/0.64 (step @p162 :rule nary_cong :premises (@p126 @p161) :args ((or @t79 (not @t76)))) % 0.44/0.64 (step @p163 :rule cnf_or_neg :args (@t79 1)) % 0.44/0.64 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.44/0.64 (step @p165 :rule reordering :premises (@p164) :args ((or @t75 @t79))) % 0.44/0.64 (step @p166 :rule chain_m_resolution :premises (@p165 @p56) :args (@t75 @t81 @t82)) % 0.44/0.64 (assume-push @p422 @t75) % 0.44/0.64 (assume-push @p423 @t90) % 0.44/0.64 (assume-push @p424 @t107) % 0.44/0.64 (assume-push @p425 @t75) % 0.44/0.64 (assume-push @p426 @t107) % 0.44/0.64 (assume-push @p427 @t90) % 0.44/0.64 (step @p173 :rule 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scope :premises (@p431)) % 0.44/0.64 (step-pop @p433 :rule scope :premises (@p432)) % 0.44/0.64 (step @p186 :rule process_scope :premises (@p433) :args (@t111)) % 0.44/0.64 (step @p190 :rule implies_elim :premises (@p186)) % 0.44/0.64 (step @p191 :rule cnf_and_neg :args (@t112)) % 0.44/0.64 (step @p192 :rule resolution :premises (@p191 @p190) :args (true @t112)) % 0.44/0.64 (step @p193 :rule aci_norm :args ((= (or (or @t114 @t113) @t25) (or @t114 @t113 @t25)))) % 0.44/0.64 (step @p194 :rule bool-and-de-morgan :args (@t53 @t52 true)) % 0.44/0.64 (step @p195 :rule nary_cong :premises (@p194 @p47) :args ((or (not @t54) @t25))) % 0.44/0.64 (step @p196 :rule trans :premises (@p195 @p193)) % 0.44/0.64 (step @p197 :rule bool-impl-elim :args (@t54 @t25)) % 0.44/0.64 (step @p198 :rule trans :premises (@p197 @p196)) % 0.44/0.64 (step @p199 :rule cong :premises (@p198) :args (@t55)) % 0.44/0.64 (step @p200 :rule eq_resolve :premises (@p42 @p199)) % 0.44/0.64 (step @p201 :rule instantiate :premises (@p200) :args ((@list @t71 @t87 tptp.bad @t106))) % 0.44/0.64 (step @p202 :rule cnf_or_pos :args (@t117)) % 0.44/0.64 (step @p203 :rule reordering :premises (@p202) :args ((or @t101 @t116 @t115 (not @t117)))) % 0.44/0.64 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p192 @p132 @p166 @p160 @p132 @p131 @p124 @p98) :args (@t103 @t118 (@list @t117 @t111 @t107 @t75 @t109 @t107 @t77 @t101 @t98))) % 0.44/0.64 (step @p205 :rule cnf_or_pos :args (@t96)) % 0.44/0.64 (step @p206 :rule reordering :premises (@p205) :args ((or @t91 @t90 @t95 (not @t96)))) % 0.44/0.64 (step @p207 :rule quant-unused-vars :args ((= (forall @t16 @t120) @t121))) % 0.44/0.64 (step @p208 :rule aci_norm :args ((= (or (or @t39 @t38 @t119) @t36) @t120))) % 0.44/0.64 (step @p209 :rule refl :args (@t119)) % 0.44/0.64 (step @p210 :rule refl :args (@t38)) % 0.44/0.64 (step @p211 :rule nary_cong :premises (@p64 @p210 @p209) :args (@t122)) % 0.44/0.64 (step @p212 :rule aci_norm :args ((= (or @t85 (or @t38 @t119)) @t122))) % 0.44/0.64 (step @p213 :rule trans :premises (@p212 @p211)) % 0.44/0.64 (step @p214 :rule bool-and-de-morgan :args (@t37 @t44 true)) % 0.44/0.64 (step @p215 :rule refl :args (@t85)) % 0.44/0.64 (step @p216 :rule nary_cong :premises (@p215 @p214) :args ((or @t85 (not (and @t37 @t44))))) % 0.44/0.64 (step @p217 :rule bool-and-de-morgan :args (@t40 @t37 (and @t44))) % 0.44/0.64 (step @p218 :rule trans :premises (@p217 @p216)) % 0.44/0.64 (step @p219 :rule trans :premises (@p218 @p213)) % 0.44/0.64 (step @p220 :rule nary_cong :premises (@p219 @p62) :args ((or (not @t45) @t36))) % 0.44/0.64 (step @p221 :rule trans :premises (@p220 @p208)) % 0.44/0.64 (step @p222 :rule bool-impl-elim :args (@t45 @t36)) % 0.44/0.64 (step @p223 :rule trans :premises (@p222 @p221)) % 0.44/0.64 (step @p224 :rule cong :premises (@p223) :args (@t46)) % 0.44/0.64 (step @p225 :rule trans :premises (@p224 @p207)) % 0.44/0.64 (step @p226 :rule eq_resolve :premises (@p36 @p225)) % 0.44/0.64 (step @p227 :rule refl :args (@t125)) % 0.44/0.64 (step @p228 :rule refl :args (@t126)) % 0.44/0.64 (step @p229 :rule nary_cong :premises (@p77 @p228 @p227 @p75) :args (@t127)) % 0.44/0.64 (step @p230 :rule refl :args (@t121)) % 0.44/0.64 (step @p231 :rule cong :premises (@p230 @p229) :args ((=> @t121 @t127))) % 0.44/0.64 (assume-push @p434 @t121) % 0.44/0.64 (step @p233 :rule instantiate :premises (@p226) :args (@t94)) % 0.44/0.64 (step-pop @p435 :rule scope :premises (@p233)) % 0.44/0.64 (step @p234 :rule process_scope :premises (@p435) :args (@t127)) % 0.44/0.64 (step @p236 :rule eq_resolve :premises (@p234 @p231)) % 0.44/0.64 (step @p237 :rule implies_elim :premises (@p236)) % 0.44/0.64 (step @p238 :rule chain_m_resolution :premises (@p237 @p226) :args (@t128 @t97 (@list @t121))) % 0.44/0.64 (step @p239 :rule cnf_or_pos :args (@t128)) % 0.44/0.64 (step @p240 :rule reordering :premises (@p239) :args ((or @t90 @t95 @t126 @t125 (not @t128)))) % 0.44/0.64 (step @p241 :rule refl :args (@t131)) % 0.44/0.64 (step @p242 :rule refl :args (@t133)) % 0.44/0.64 (step @p243 :rule nary_cong :premises (@p100 @p242 @p241) :args ((or @t104 @t133 @t131))) % 0.44/0.64 (assume-push @p436 @t99) % 0.44/0.64 (assume-push @p437 @t132) % 0.44/0.64 (assume-push @p438 @t99) % 0.44/0.64 (assume-push @p439 @t132) % 0.44/0.64 (step @p107 :rule false_intro :premises (@p98)) % 0.44/0.64 (step @p248 :rule symm :premises (@p437)) % 0.44/0.64 (step @p249 :rule cong :premises (@p248) :args (@t130)) % 0.44/0.64 (step @p250 :rule trans :premises (@p249 @p107)) % 0.44/0.64 (step @p251 :rule false_elim :premises (@p250)) % 0.44/0.64 (step-pop @p440 :rule scope :premises (@p251)) % 0.44/0.64 (step-pop @p441 :rule scope :premises (@p440)) % 0.44/0.64 (step @p252 :rule process_scope :premises (@p441) :args (@t131)) % 0.44/0.64 (step @p255 :rule and_intro :premises (@p98 @p437)) % 0.44/0.64 (step @p256 :rule modus_ponens :premises (@p255 @p252)) % 0.44/0.64 (step-pop @p442 :rule scope :premises (@p256)) % 0.44/0.64 (step-pop @p443 :rule scope :premises (@p442)) % 0.44/0.64 (step @p257 :rule process_scope :premises (@p443) :args (@t131)) % 0.44/0.64 (step @p260 :rule implies_elim :premises (@p257)) % 0.44/0.64 (step @p261 :rule cnf_and_neg :args (@t134)) % 0.44/0.64 (step @p262 :rule resolution :premises (@p261 @p260) :args (true @t134)) % 0.44/0.64 (step @p263 :rule eq_resolve :premises (@p262 @p243)) % 0.44/0.64 (assume-push @p444 @t77) % 0.44/0.64 (assume-push @p445 @t107) % 0.44/0.64 (assume-push @p446 @t132) % 0.44/0.64 (assume-push @p447 @t77) % 0.44/0.64 (assume-push @p448 @t107) % 0.44/0.64 (assume-push @p449 @t132) % 0.44/0.64 (step @p139 :rule true_intro :premises (@p131)) % 0.44/0.64 (step @p140 :rule symm :premises (@p132)) % 0.44/0.64 (step @p141 :rule refl :args (@t106)) % 0.44/0.64 (step @p270 :rule symm :premises (@p446)) % 0.44/0.64 (step @p271 :rule cong :premises (@p270 @p141) :args (@t135)) % 0.44/0.64 (step @p272 :rule trans :premises (@p271 @p140)) % 0.44/0.64 (step @p273 :rule cong :premises (@p272) :args (@t136)) % 0.44/0.64 (step @p274 :rule trans :premises (@p273 @p139)) % 0.44/0.64 (step @p275 :rule true_elim :premises (@p274)) % 0.44/0.64 (step-pop @p450 :rule scope :premises (@p275)) % 0.44/0.64 (step-pop @p451 :rule scope :premises (@p450)) % 0.44/0.64 (step-pop @p452 :rule scope :premises (@p451)) % 0.44/0.64 (step @p276 :rule process_scope :premises (@p452) :args (@t136)) % 0.44/0.64 (step @p280 :rule and_intro :premises (@p131 @p132 @p446)) % 0.44/0.64 (step @p281 :rule modus_ponens :premises (@p280 @p276)) % 0.44/0.64 (step-pop @p453 :rule scope :premises (@p281)) % 0.44/0.64 (step-pop @p454 :rule scope :premises (@p453)) % 0.44/0.64 (step-pop @p455 :rule scope :premises (@p454)) % 0.44/0.64 (step @p282 :rule process_scope :premises (@p455) :args (@t136)) % 0.44/0.64 (step @p286 :rule implies_elim :premises (@p282)) % 0.44/0.64 (step @p287 :rule cnf_and_neg :args (@t137)) % 0.44/0.64 (step @p288 :rule resolution :premises (@p287 @p286) :args (true @t137)) % 0.44/0.64 (assume-push @p456 @t75) % 0.44/0.64 (assume-push @p457 @t107) % 0.44/0.64 (assume-push @p458 @t132) % 0.44/0.64 (assume-push @p459 @t75) % 0.44/0.64 (assume-push @p460 @t107) % 0.44/0.64 (assume-push @p461 @t132) % 0.44/0.64 (step @p173 :rule true_intro :premises (@p166)) % 0.44/0.64 (step @p140 :rule symm :premises (@p132)) % 0.44/0.64 (step @p141 :rule refl :args (@t106)) % 0.44/0.64 (step @p295 :rule symm :premises (@p458)) % 0.44/0.64 (step @p296 :rule cong :premises (@p295 @p141) :args (@t135)) % 0.44/0.64 (step @p297 :rule trans :premises (@p296 @p140)) % 0.44/0.64 (step @p298 :rule cong :premises (@p297) :args (@t138)) % 0.44/0.64 (step @p299 :rule trans :premises (@p298 @p173)) % 0.44/0.64 (step @p300 :rule true_elim :premises (@p299)) % 0.44/0.64 (step-pop @p462 :rule scope :premises (@p300)) % 0.44/0.64 (step-pop @p463 :rule scope :premises (@p462)) % 0.44/0.64 (step-pop @p464 :rule scope :premises (@p463)) % 0.44/0.64 (step @p301 :rule process_scope :premises (@p464) :args (@t138)) % 0.44/0.64 (step @p305 :rule and_intro :premises (@p166 @p132 @p458)) % 0.44/0.64 (step @p306 :rule modus_ponens :premises (@p305 @p301)) % 0.44/0.64 (step-pop @p465 :rule scope :premises (@p306)) % 0.44/0.64 (step-pop @p466 :rule scope :premises (@p465)) % 0.44/0.64 (step-pop @p467 :rule scope :premises (@p466)) % 0.44/0.64 (step @p307 :rule process_scope :premises (@p467) :args (@t138)) % 0.44/0.64 (step @p311 :rule implies_elim :premises (@p307)) % 0.44/0.64 (step @p312 :rule cnf_and_neg :args (@t139)) % 0.44/0.64 (step @p313 :rule resolution :premises (@p312 @p311) :args (true @t139)) % 0.44/0.64 (step @p314 :rule instantiate :premises (@p200) :args ((@list @t71 @t87 @t69 @t106))) % 0.44/0.64 (step @p315 :rule cnf_or_pos :args (@t142)) % 0.44/0.64 (step @p316 :rule reordering :premises (@p315) :args ((or @t141 @t140 @t130 (not @t142)))) % 0.44/0.64 (step @p317 :rule chain_m_resolution :premises (@p316 @p314 @p313 @p132 @p166 @p288 @p132 @p131 @p263 @p98) :args (@t133 @t118 (@list @t142 @t138 @t107 @t75 @t136 @t107 @t77 @t130 @t98))) % 0.44/0.64 (step @p318 :rule quant-unused-vars :args ((= (forall @t16 @t144) @t145))) % 0.44/0.64 (step @p319 :rule aci_norm :args ((= (or (or @t39 @t38 @t143) @t47) @t144))) % 0.44/0.64 (step @p320 :rule refl :args (@t47)) % 0.44/0.64 (step @p321 :rule refl :args (@t143)) % 0.44/0.64 (step @p322 :rule nary_cong :premises (@p64 @p210 @p321) :args (@t146)) % 0.44/0.64 (step @p323 :rule aci_norm :args ((= (or @t85 (or @t38 @t143)) @t146))) % 0.44/0.64 (step @p324 :rule trans :premises (@p323 @p322)) % 0.44/0.64 (step @p325 :rule bool-and-de-morgan :args (@t37 @t48 true)) % 0.44/0.64 (step @p326 :rule nary_cong :premises (@p215 @p325) :args ((or @t85 (not (and @t37 @t48))))) % 0.44/0.64 (step @p327 :rule bool-and-de-morgan :args (@t40 @t37 (and @t48))) % 0.44/0.64 (step @p328 :rule trans :premises (@p327 @p326)) % 0.44/0.64 (step @p329 :rule trans :premises (@p328 @p324)) % 0.44/0.64 (step @p330 :rule nary_cong :premises (@p329 @p320) :args ((or (not @t49) @t47))) % 0.44/0.64 (step @p331 :rule trans :premises (@p330 @p319)) % 0.44/0.64 (step @p332 :rule bool-impl-elim :args (@t49 @t47)) % 0.44/0.64 (step @p333 :rule trans :premises (@p332 @p331)) % 0.44/0.64 (step @p334 :rule cong :premises (@p333) :args (@t50)) % 0.44/0.64 (step @p335 :rule trans :premises (@p334 @p318)) % 0.44/0.64 (step @p336 :rule eq_resolve :premises (@p37 @p335)) % 0.44/0.64 (step @p337 :rule refl :args (@t132)) % 0.44/0.64 (step @p338 :rule refl :args (@t148)) % 0.44/0.64 (step @p339 :rule nary_cong :premises (@p77 @p228 @p338 @p337) :args (@t149)) % 0.44/0.64 (step @p340 :rule refl :args (@t145)) % 0.44/0.64 (step @p341 :rule cong :premises (@p340 @p339) :args ((=> @t145 @t149))) % 0.44/0.64 (assume-push @p468 @t145) % 0.44/0.64 (step @p343 :rule instantiate :premises (@p336) :args (@t94)) % 0.44/0.64 (step-pop @p469 :rule scope :premises (@p343)) % 0.44/0.64 (step @p344 :rule process_scope :premises (@p469) :args (@t149)) % 0.44/0.64 (step @p346 :rule eq_resolve :premises (@p344 @p341)) % 0.44/0.64 (step @p347 :rule implies_elim :premises (@p346)) % 0.44/0.64 (step @p348 :rule chain_m_resolution :premises (@p347 @p336) :args (@t150 @t97 (@list @t145))) % 0.44/0.64 (step @p349 :rule cnf_or_pos :args (@t150)) % 0.44/0.64 (step @p350 :rule reordering :premises (@p349) :args ((or @t95 @t126 @t148 @t132 (not @t150)))) % 0.44/0.64 (step @p351 :rule instantiate :premises (@p4) :args (@t151)) % 0.44/0.64 (step @p352 :rule cnf_equiv_pos2 :args (@t154)) % 0.44/0.64 (step @p353 :rule reordering :premises (@p352) :args ((or @t124 (not @t153) (not @t154)))) % 0.44/0.64 (step @p354 :rule bool-double-not-elim :args (@t147)) % 0.44/0.64 (step @p355 :rule refl :args (@t155)) % 0.44/0.64 (step @p356 :rule refl :args (@t153)) % 0.44/0.64 (step @p357 :rule nary_cong :premises (@p356 @p355 @p354) :args ((or @t153 @t155 (not @t148)))) % 0.44/0.64 (step @p358 :rule cnf_and_neg :args (@t153)) % 0.44/0.64 (step @p359 :rule eq_resolve :premises (@p358 @p357)) % 0.44/0.64 (step @p360 :rule reordering :premises (@p359) :args ((or @t147 @t153 @t155))) % 0.44/0.64 (step @p361 :rule instantiate :premises (@p2) :args (@t151)) % 0.44/0.64 (step @p362 :rule cnf_or_pos :args (@t156)) % 0.44/0.64 (step @p363 :rule reordering :premises (@p362) :args ((or @t152 @t147 (not @t156)))) % 0.44/0.64 (step @p364 :rule chain_m_resolution :premises (@p363 @p361 @p360 @p353 @p351 @p350 @p348 @p317 @p240 @p204 @p238 @p206 @p204 @p87) :args (@t95 (@list false true true false true false true true true false false true false) (@list @t156 @t152 @t153 @t154 @t147 @t150 @t132 @t124 @t90 @t128 @t91 @t90 @t96))) % 0.44/0.64 (step @p365 :rule refl :args (@t158)) % 0.44/0.64 (step @p366 :rule refl :args (@t159)) % 0.44/0.64 (step @p367 :rule bool-double-not-elim :args (@t73)) % 0.44/0.64 (step @p368 :rule nary_cong :premises (@p367 @p366 @p365) :args ((or (not @t80) @t159 @t158))) % 0.44/0.64 (assume-push @p470 @t157) % 0.44/0.64 (assume-push @p471 @t95) % 0.44/0.64 (assume-push @p472 @t80) % 0.44/0.64 (step @p372 :rule evaluate :args ((= false true))) % 0.44/0.64 (step @p373 :rule true_intro :premises (@p59)) % 0.44/0.64 (step @p374 :rule refl :args (@t69)) % 0.44/0.64 (step @p375 :rule symm :premises (@p471)) % 0.44/0.64 (step @p376 :rule refl :args (@t71)) % 0.44/0.64 (step @p377 :rule cong :premises (@p376 @p375 @p374) :args (@t72)) % 0.44/0.64 (step @p378 :rule cong :premises (@p377) :args (@t73)) % 0.44/0.64 (step @p379 :rule false_intro :premises (@p58)) % 0.44/0.64 (step @p380 :rule symm :premises (@p379)) % 0.44/0.64 (step @p381 :rule trans :premises (@p380 @p378 @p373)) % 0.44/0.64 (step @p382 false :rule eq_resolve :premises (@p381 @p372)) % 0.44/0.64 (step-pop @p473 :rule scope :premises (@p382)) % 0.44/0.64 (step-pop @p474 :rule scope :premises (@p473)) % 0.44/0.64 (step-pop @p475 :rule scope :premises (@p474)) % 0.44/0.64 (step @p383 :rule process_scope :premises (@p475) :args (false)) % 0.44/0.64 (assume-push @p476 @t80) % 0.44/0.64 (assume-push @p477 @t95) % 0.44/0.64 (assume-push @p478 @t157) % 0.44/0.64 (step @p390 :rule and_intro :premises (@p59 @p477 @p58)) % 0.44/0.64 (step-pop @p479 :rule scope :premises (@p390)) % 0.44/0.64 (step-pop @p480 :rule scope :premises (@p479)) % 0.44/0.64 (step-pop @p481 :rule scope :premises (@p480)) % 0.44/0.64 (step @p391 :rule process_scope :premises (@p481) :args (@t160)) % 0.44/0.64 (step @p395 :rule implies_elim :premises (@p391)) % 0.44/0.64 (step @p396 :rule resolution :premises (@p395 @p383) :args (true @t160)) % 0.44/0.64 (step @p397 :rule not_and :premises (@p396)) % 0.44/0.64 (step @p398 :rule eq_resolve :premises (@p397 @p368)) % 0.44/0.64 (step @p399 false :rule chain_m_resolution :premises (@p398 @p364 @p59 @p58) :args (false (@list false false true) (@list @t95 @t157 @t73))) % 0.44/0.64 ) % 0.44/0.64 % SZS output end Proof % 0.44/0.64 % cvc5 exiting %------------------------------------------------------------------------------