%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV416+2 : 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 : n009.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 09:01:23 AM UTC 2026 % Result : Theorem 6.53s 6.78s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV416+2 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 20:06:44 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 6.53/6.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 6.53/6.78 % SZS status Theorem % 6.53/6.78 % SZS output start Proof % 6.53/6.78 ( % 6.53/6.78 (declare-sort $$unsorted 0) % 6.53/6.78 (declare-const tptp.phi (-> $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.pi_removemin (-> $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.pi_sharp_removemin (-> $$unsorted $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.pi_find_min (-> $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.pi_remove (-> $$unsorted $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.i (-> $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.ok (-> $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.removemin_pq_res (-> $$unsorted $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.removemin_pq_eff (-> $$unsorted $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.pi_sharp_remove (-> $$unsorted $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.remove_pq (-> $$unsorted $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.findmin_pq_res (-> $$unsorted $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.issmallestelement_pq (-> $$unsorted $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.isnonempty_pq (-> $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.findmin_pq_eff (-> $$unsorted $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.contains_pq (-> $$unsorted $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.pi_sharp_find_min (-> $$unsorted $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.create_pq $$unsorted) % 6.53/6.78 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.bottom $$unsorted) % 6.53/6.78 (declare-const tptp.insert_pq (-> $$unsorted $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.create_slb $$unsorted) % 6.53/6.78 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.bad $$unsorted) % 6.53/6.78 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 6.53/6.78 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 6.53/6.78 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.53/6.78 (define @t1 () (@var "W" $$unsorted)) % 6.53/6.78 (define @t2 () (@var "U" $$unsorted)) % 6.53/6.78 (define @t3 () (@var "V" $$unsorted)) % 6.53/6.78 (define @t4 () (tptp.less_than @t3 @t1)) % 6.53/6.78 (define @t5 () (tptp.less_than @t2 @t3)) % 6.53/6.78 (define @t6 () (@list @t2 @t3 @t1)) % 6.53/6.78 (define @t7 () (tptp.less_than @t3 @t2)) % 6.53/6.78 (define @t8 () (@list @t2 @t3)) % 6.53/6.78 (define @t9 () (@list @t2)) % 6.53/6.78 (define @t10 () (tptp.insert_pq @t2 @t3)) % 6.53/6.78 (define @t11 () (= @t3 @t1)) % 6.53/6.78 (define @t12 () (tptp.contains_pq @t2 @t1)) % 6.53/6.78 (define @t13 () (forall @t6 (= (tptp.contains_pq @t10 @t1) (or @t12 @t11)))) % 6.53/6.78 (define @t14 () (tptp.issmallestelement_pq @t2 @t3)) % 6.53/6.78 (define @t15 () (tptp.remove_pq @t10 @t3)) % 6.53/6.78 (define @t16 () (forall @t8 (= @t15 @t2))) % 6.53/6.78 (define @t17 () (= (tptp.remove_pq @t10 @t1) (tptp.insert_pq (tptp.remove_pq @t2 @t1) @t3))) % 6.53/6.78 (define @t18 () (not @t11)) % 6.53/6.78 (define @t19 () (and @t12 @t18)) % 6.53/6.78 (define @t20 () (forall @t6 (=> @t19 @t17))) % 6.53/6.78 (define @t21 () (tptp.contains_pq @t2 @t3)) % 6.53/6.78 (define @t22 () (and @t21 @t14)) % 6.53/6.78 (define @t23 () (tptp.pair @t3 @t1)) % 6.53/6.78 (define @t24 () (tptp.insert_slb @t2 @t23)) % 6.53/6.78 (define @t25 () (tptp.contains_slb @t2 @t1)) % 6.53/6.78 (define @t26 () (@var "X" $$unsorted)) % 6.53/6.78 (define @t27 () (tptp.pair @t3 @t26)) % 6.53/6.78 (define @t28 () (tptp.insert_slb @t2 @t27)) % 6.53/6.78 (define @t29 () (@list @t2 @t3 @t1 @t26)) % 6.53/6.78 (define @t30 () (forall @t29 (= (tptp.contains_slb @t28 @t1) (or @t25 @t11)))) % 6.53/6.78 (define @t31 () (@var "Y" $$unsorted)) % 6.53/6.78 (define @t32 () (@list @t2 @t3 @t1 @t26 @t31)) % 6.53/6.78 (define @t33 () (tptp.remove_slb @t24 @t3)) % 6.53/6.78 (define @t34 () (forall @t6 (= @t33 @t2))) % 6.53/6.78 (define @t35 () (= (tptp.remove_slb @t28 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t27))) % 6.53/6.78 (define @t36 () (and @t18 @t25)) % 6.53/6.78 (define @t37 () (forall @t29 (=> @t36 @t35))) % 6.53/6.78 (define @t38 () (= (tptp.lookup_slb @t28 @t1) (tptp.lookup_slb @t2 @t1))) % 6.53/6.78 (define @t39 () (forall @t29 (=> @t36 @t38))) % 6.53/6.78 (define @t40 () (tptp.update_slb @t2 @t1)) % 6.53/6.78 (define @t41 () (tptp.update_slb @t28 @t1)) % 6.53/6.78 (define @t42 () (tptp.succ_cpq @t2 @t3)) % 6.53/6.78 (define @t43 () (tptp.triple @t2 tptp.create_slb @t3)) % 6.53/6.78 (define @t44 () (tptp.triple @t2 @t3 @t1)) % 6.53/6.78 (define @t45 () (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t26 @t31)) @t1)) % 6.53/6.78 (define @t46 () (tptp.check_cpq @t45)) % 6.53/6.78 (define @t47 () (tptp.contains_slb @t3 @t26)) % 6.53/6.78 (define @t48 () (tptp.triple @t2 @t3 tptp.bad)) % 6.53/6.78 (define @t49 () (tptp.remove_cpq @t44 @t26)) % 6.53/6.78 (define @t50 () (not @t47)) % 6.53/6.78 (define @t51 () (=> @t50 (= @t49 @t48))) % 6.53/6.78 (define @t52 () (forall @t29 @t51)) % 6.53/6.78 (define @t53 () (tptp.remove_slb @t3 @t26)) % 6.53/6.78 (define @t54 () (tptp.remove_pqp @t2 @t26)) % 6.53/6.78 (define @t55 () (= @t49 (tptp.triple @t54 @t53 @t1))) % 6.53/6.78 (define @t56 () (tptp.lookup_slb @t3 @t26)) % 6.53/6.78 (define @t57 () (tptp.less_than @t56 @t26)) % 6.53/6.78 (define @t58 () (and @t47 @t57)) % 6.53/6.78 (define @t59 () (forall @t29 (=> @t58 @t55))) % 6.53/6.78 (define @t60 () (= @t49 (tptp.triple @t54 @t53 tptp.bad))) % 6.53/6.78 (define @t61 () (tptp.strictly_less_than @t26 @t56)) % 6.53/6.78 (define @t62 () (and @t47 @t61)) % 6.53/6.78 (define @t63 () (forall @t29 (=> @t62 @t60))) % 6.53/6.78 (define @t64 () (tptp.findmin_pqp_res @t2)) % 6.53/6.78 (define @t65 () (tptp.update_slb @t3 @t64)) % 6.53/6.78 (define @t66 () (tptp.findmin_cpq_eff @t44)) % 6.53/6.78 (define @t67 () (= @t66 (tptp.triple @t2 @t65 tptp.bad))) % 6.53/6.78 (define @t68 () (tptp.contains_slb @t3 @t64)) % 6.53/6.78 (define @t69 () (not (= @t3 tptp.create_slb))) % 6.53/6.78 (define @t70 () (tptp.lookup_slb @t3 @t64)) % 6.53/6.78 (define @t71 () (tptp.findmin_cpq_res @t2)) % 6.53/6.78 (define @t72 () (tptp.i @t43)) % 6.53/6.78 (define @t73 () (forall @t8 (= @t72 tptp.create_pq))) % 6.53/6.78 (define @t74 () (tptp.i @t44)) % 6.53/6.78 (define @t75 () (tptp.pi_sharp_remove @t2 @t3)) % 6.53/6.78 (define @t76 () (forall @t8 (= @t75 @t21))) % 6.53/6.78 (define @t77 () (tptp.i @t2)) % 6.53/6.78 (define @t78 () (@list @t3)) % 6.53/6.78 (define @t79 () (exists @t78 (tptp.pi_sharp_find_min @t77 @t3))) % 6.53/6.78 (define @t80 () (@var "X14" $$unsorted)) % 6.53/6.78 (define @t81 () (@var "X12" $$unsorted)) % 6.53/6.78 (define @t82 () (@var "X11" $$unsorted)) % 6.53/6.78 (define @t83 () (@var "X13" $$unsorted)) % 6.53/6.78 (define @t84 () (@var "X10" $$unsorted)) % 6.53/6.78 (define @t85 () (forall (@list @t84 @t82 @t81 @t83 @t80) (= (tptp.i (tptp.triple @t84 @t81 @t83)) (tptp.i (tptp.triple @t82 @t81 @t80))))) % 6.53/6.78 (define @t86 () (@var "X7" $$unsorted)) % 6.53/6.78 (define @t87 () (@var "X9" $$unsorted)) % 6.53/6.78 (define @t88 () (@var "X8" $$unsorted)) % 6.53/6.78 (define @t89 () (tptp.insert_slb @t31 (tptp.pair @t88 @t87))) % 6.53/6.78 (define @t90 () (@var "X5" $$unsorted)) % 6.53/6.78 (define @t91 () (@var "X6" $$unsorted)) % 6.53/6.78 (define @t92 () (@var "X4" $$unsorted)) % 6.53/6.78 (define @t93 () (forall (@list @t92 @t90 @t91 @t86 @t88 @t87) (= (tptp.i (tptp.triple @t92 @t89 @t91)) (tptp.i (tptp.triple @t90 @t89 @t86))))) % 6.53/6.78 (define @t94 () (@var "X3" $$unsorted)) % 6.53/6.78 (define @t95 () (@var "X1" $$unsorted)) % 6.53/6.78 (define @t96 () (@var "X2" $$unsorted)) % 6.53/6.78 (define @t97 () (@var "Z" $$unsorted)) % 6.53/6.78 (define @t98 () (@list @t97 @t95 @t96 @t94)) % 6.53/6.78 (define @t99 () (forall @t98 (= (tptp.i (tptp.triple @t97 @t31 @t96)) (tptp.i (tptp.triple @t95 @t31 @t94))))) % 6.53/6.78 (define @t100 () (@list @t31)) % 6.53/6.78 (define @t101 () (forall @t100 (=> @t99 @t93))) % 6.53/6.78 (define @t102 () (forall @t29 (= (tptp.i (tptp.triple @t2 tptp.create_slb @t1)) (tptp.i (tptp.triple @t3 tptp.create_slb @t26))))) % 6.53/6.78 (define @t103 () (and @t102 @t101)) % 6.53/6.78 (define @t104 () (=> @t103 @t85)) % 6.53/6.78 (define @t105 () (tptp.triple @t86 @t88 @t87)) % 6.53/6.78 (define @t106 () (tptp.i @t105)) % 6.53/6.78 (define @t107 () (= (tptp.i (tptp.remove_cpq @t105 @t84)) (tptp.remove_pq @t106 @t84))) % 6.53/6.78 (define @t108 () (tptp.contains_pq @t106 @t84)) % 6.53/6.78 (define @t109 () (@list @t86 @t88 @t87 @t84)) % 6.53/6.78 (define @t110 () (forall @t109 (=> @t108 @t107))) % 6.53/6.78 (define @t111 () (tptp.triple @t96 (tptp.insert_slb @t26 (tptp.pair @t90 @t91)) @t94)) % 6.53/6.78 (define @t112 () (tptp.i @t111)) % 6.53/6.78 (define @t113 () (= (tptp.i (tptp.remove_cpq @t111 @t92)) (tptp.remove_pq @t112 @t92))) % 6.53/6.78 (define @t114 () (tptp.contains_pq @t112 @t92)) % 6.53/6.78 (define @t115 () (@list @t96 @t94 @t92 @t90 @t91)) % 6.53/6.78 (define @t116 () (forall @t115 (=> @t114 @t113))) % 6.53/6.78 (define @t117 () (tptp.triple @t31 @t26 @t97)) % 6.53/6.78 (define @t118 () (tptp.i @t117)) % 6.53/6.78 (define @t119 () (= (tptp.i (tptp.remove_cpq @t117 @t95)) (tptp.remove_pq @t118 @t95))) % 6.53/6.78 (define @t120 () (tptp.contains_pq @t118 @t95)) % 6.53/6.78 (define @t121 () (@list @t31 @t97 @t95)) % 6.53/6.78 (define @t122 () (forall @t121 (=> @t120 @t119))) % 6.53/6.78 (define @t123 () (=> @t122 @t116)) % 6.53/6.78 (define @t124 () (@list @t26)) % 6.53/6.78 (define @t125 () (forall @t124 @t123)) % 6.53/6.78 (define @t126 () (= (tptp.i (tptp.remove_cpq @t43 @t1)) (tptp.remove_pq @t72 @t1))) % 6.53/6.78 (define @t127 () (tptp.contains_pq @t72 @t1)) % 6.53/6.78 (define @t128 () (forall @t6 (=> @t127 @t126))) % 6.53/6.78 (define @t129 () (and @t128 @t125)) % 6.53/6.78 (define @t130 () (=> @t129 @t110)) % 6.53/6.78 (define @t131 () (tptp.triple @t96 (tptp.insert_slb @t26 (tptp.pair @t92 @t90)) @t94)) % 6.53/6.78 (define @t132 () (tptp.contains_cpq @t43 @t1)) % 6.53/6.78 (define @t133 () (and (tptp.pi_sharp_remove @t74 @t26) (= (tptp.i @t49) (tptp.remove_pq @t74 @t26)))) % 6.53/6.78 (define @t134 () (tptp.phi @t49)) % 6.53/6.78 (define @t135 () (=> @t134 @t133)) % 6.53/6.78 (define @t136 () (tptp.pi_remove @t44 @t26)) % 6.53/6.78 (define @t137 () (forall @t29 (=> @t136 @t135))) % 6.53/6.78 (define @t138 () (not @t137)) % 6.53/6.78 (define @t139 () (@var "BOUND_VARIABLE_8115" $$unsorted)) % 6.53/6.78 (define @t140 () (@var "BOUND_VARIABLE_8113" $$unsorted)) % 6.53/6.78 (define @t141 () (@var "BOUND_VARIABLE_8119" $$unsorted)) % 6.53/6.78 (define @t142 () (@var "BOUND_VARIABLE_8117" $$unsorted)) % 6.53/6.78 (define @t143 () (@var "BOUND_VARIABLE_8111" $$unsorted)) % 6.53/6.78 (define @t144 () (tptp.triple @t143 (tptp.insert_slb @t26 (tptp.pair @t142 @t141)) @t140)) % 6.53/6.78 (define @t145 () (tptp.i @t144)) % 6.53/6.78 (define @t146 () (= (tptp.i (tptp.remove_cpq @t144 @t139)) (tptp.remove_pq @t145 @t139))) % 6.53/6.78 (define @t147 () (not (tptp.contains_pq @t145 @t139))) % 6.53/6.78 (define @t148 () (forall @t121 (or (not @t120) @t119))) % 6.53/6.78 (define @t149 () (not @t148)) % 6.53/6.78 (define @t150 () (or @t149 @t147 @t146)) % 6.53/6.78 (define @t151 () (@list @t26 @t143 @t140 @t139 @t142 @t141)) % 6.53/6.78 (define @t152 () (forall @t151 @t150)) % 6.53/6.78 (define @t153 () (@quantifiers_skolemize @t152 5)) % 6.53/6.78 (define @t154 () (@quantifiers_skolemize @t152 4)) % 6.53/6.78 (define @t155 () (@quantifiers_skolemize @t152 2)) % 6.53/6.78 (define @t156 () (@quantifiers_skolemize @t152 0)) % 6.53/6.78 (define @t157 () (@quantifiers_skolemize @t152 1)) % 6.53/6.78 (define @t158 () (tptp.triple @t157 @t156 @t155)) % 6.53/6.78 (define @t159 () (tptp.i @t158)) % 6.53/6.78 (define @t160 () (tptp.triple @t157 @t156 tptp.bad)) % 6.53/6.78 (define @t161 () (tptp.i @t160)) % 6.53/6.78 (define @t162 () (@var "BOUND_VARIABLE_8078" $$unsorted)) % 6.53/6.78 (define @t163 () (@var "BOUND_VARIABLE_8082" $$unsorted)) % 6.53/6.78 (define @t164 () (@var "BOUND_VARIABLE_8080" $$unsorted)) % 6.53/6.78 (define @t165 () (tptp.insert_slb @t31 (tptp.pair @t164 @t163))) % 6.53/6.78 (define @t166 () (@var "BOUND_VARIABLE_8074" $$unsorted)) % 6.53/6.78 (define @t167 () (@var "BOUND_VARIABLE_8076" $$unsorted)) % 6.53/6.78 (define @t168 () (@var "BOUND_VARIABLE_8072" $$unsorted)) % 6.53/6.78 (define @t169 () (= (tptp.i (tptp.triple @t168 @t165 @t167)) (tptp.i (tptp.triple @t166 @t165 @t162)))) % 6.53/6.78 (define @t170 () (not @t99)) % 6.53/6.78 (define @t171 () (or @t170 @t169)) % 6.53/6.78 (define @t172 () (forall (@list @t31 @t168 @t166 @t167 @t162 @t164 @t163) @t171)) % 6.53/6.78 (define @t173 () (@quantifiers_skolemize @t172 0)) % 6.53/6.78 (define @t174 () (forall @t98 (= (tptp.i (tptp.triple @t97 @t173 @t96)) (tptp.i (tptp.triple @t95 @t173 @t94))))) % 6.53/6.78 (define @t175 () (@quantifiers_skolemize @t172 4)) % 6.53/6.78 (define @t176 () (@quantifiers_skolemize @t172 6)) % 6.53/6.78 (define @t177 () (@quantifiers_skolemize @t172 5)) % 6.53/6.78 (define @t178 () (tptp.insert_slb @t173 (tptp.pair @t177 @t176))) % 6.53/6.78 (define @t179 () (@quantifiers_skolemize @t172 2)) % 6.53/6.78 (define @t180 () (tptp.i (tptp.triple @t179 @t178 @t175))) % 6.53/6.78 (define @t181 () (@quantifiers_skolemize @t172 3)) % 6.53/6.78 (define @t182 () (@quantifiers_skolemize @t172 1)) % 6.53/6.78 (define @t183 () (tptp.i (tptp.triple @t182 @t178 @t181))) % 6.53/6.78 (define @t184 () (= @t183 @t180)) % 6.53/6.78 (define @t185 () (not @t174)) % 6.53/6.78 (define @t186 () (or @t185 @t184)) % 6.53/6.78 (define @t187 () (tptp.i (tptp.triple @t182 @t173 @t181))) % 6.53/6.78 (define @t188 () (tptp.i (tptp.triple @t179 @t173 @t175))) % 6.53/6.78 (define @t189 () (= @t187 @t188)) % 6.53/6.78 (define @t190 () (= @t180 (tptp.insert_pq @t188 @t177))) % 6.53/6.78 (define @t191 () (tptp.insert_pq @t187 @t177)) % 6.53/6.78 (define @t192 () (= @t183 @t191)) % 6.53/6.78 (define @t193 () (= @t188 @t187)) % 6.53/6.78 (define @t194 () (and @t190 @t192 @t193)) % 6.53/6.78 (define @t195 () (not @t186)) % 6.53/6.78 (define @t196 () (not @t172)) % 6.53/6.78 (define @t197 () (@list false)) % 6.53/6.78 (define @t198 () (@quantifiers_skolemize @t102 3)) % 6.53/6.78 (define @t199 () (@quantifiers_skolemize @t102 1)) % 6.53/6.78 (define @t200 () (@quantifiers_skolemize @t102 2)) % 6.53/6.78 (define @t201 () (@quantifiers_skolemize @t102 0)) % 6.53/6.78 (define @t202 () (= (tptp.i (tptp.triple @t201 tptp.create_slb @t200)) (tptp.i (tptp.triple @t199 tptp.create_slb @t198)))) % 6.53/6.78 (define @t203 () (not @t202)) % 6.53/6.78 (define @t204 () (not @t102)) % 6.53/6.78 (define @t205 () (and @t102 @t172)) % 6.53/6.78 (define @t206 () (@list false false)) % 6.53/6.78 (define @t207 () (@list @t168 @t166 @t167 @t162 @t164 @t163)) % 6.53/6.78 (define @t208 () (forall @t207 @t171)) % 6.53/6.78 (define @t209 () (forall @t207 @t169)) % 6.53/6.78 (define @t210 () (or @t170 @t209)) % 6.53/6.78 (define @t211 () (tptp.pair @t154 @t153)) % 6.53/6.78 (define @t212 () (tptp.insert_slb @t156 @t211)) % 6.53/6.78 (define @t213 () (tptp.triple @t157 @t212 tptp.bad)) % 6.53/6.78 (define @t214 () (tptp.i @t213)) % 6.53/6.78 (define @t215 () (tptp.triple @t157 @t212 @t155)) % 6.53/6.78 (define @t216 () (tptp.i @t215)) % 6.53/6.78 (define @t217 () (= @t216 @t214)) % 6.53/6.78 (define @t218 () (@list @t85)) % 6.53/6.78 (define @t219 () (forall @t6 (or (not @t127) @t126))) % 6.53/6.78 (define @t220 () (@quantifiers_skolemize @t219 2)) % 6.53/6.78 (define @t221 () (@quantifiers_skolemize @t219 1)) % 6.53/6.78 (define @t222 () (@quantifiers_skolemize @t219 0)) % 6.53/6.78 (define @t223 () (tptp.triple @t222 tptp.create_slb @t221)) % 6.53/6.78 (define @t224 () (tptp.i @t223)) % 6.53/6.78 (define @t225 () (tptp.contains_pq @t224 @t220)) % 6.53/6.78 (define @t226 () (not @t225)) % 6.53/6.78 (define @t227 () (or @t226 (= (tptp.i (tptp.remove_cpq @t223 @t220)) (tptp.remove_pq @t224 @t220)))) % 6.53/6.78 (define @t228 () (@list true)) % 6.53/6.78 (define @t229 () (not @t227)) % 6.53/6.78 (define @t230 () (not @t219)) % 6.53/6.78 (define @t231 () (not @t134)) % 6.53/6.78 (define @t232 () (not @t136)) % 6.53/6.78 (define @t233 () (or @t232 @t231 @t133)) % 6.53/6.78 (define @t234 () (forall @t29 @t233)) % 6.53/6.78 (define @t235 () (@quantifiers_skolemize @t234 3)) % 6.53/6.78 (define @t236 () (@quantifiers_skolemize @t234 2)) % 6.53/6.78 (define @t237 () (@quantifiers_skolemize @t234 1)) % 6.53/6.78 (define @t238 () (@quantifiers_skolemize @t234 0)) % 6.53/6.78 (define @t239 () (tptp.triple @t238 @t237 @t236)) % 6.53/6.78 (define @t240 () (tptp.i @t239)) % 6.53/6.78 (define @t241 () (tptp.contains_pq @t240 @t235)) % 6.53/6.78 (define @t242 () (tptp.pi_sharp_remove @t240 @t235)) % 6.53/6.78 (define @t243 () (forall @t8 (= @t21 @t75))) % 6.53/6.78 (define @t244 () (= @t241 @t242)) % 6.53/6.78 (define @t245 () (= @t242 @t241)) % 6.53/6.78 (define @t246 () (tptp.pi_remove @t239 @t235)) % 6.53/6.78 (define @t247 () (tptp.remove_cpq @t239 @t235)) % 6.53/6.78 (define @t248 () (= (tptp.i @t247) (tptp.remove_pq @t240 @t235))) % 6.53/6.78 (define @t249 () (and @t242 @t248)) % 6.53/6.78 (define @t250 () (not @t246)) % 6.53/6.78 (define @t251 () (or @t250 (not (tptp.phi @t247)) @t249)) % 6.53/6.78 (define @t252 () (@list @t251)) % 6.53/6.78 (define @t253 () (= @t246 @t242)) % 6.53/6.78 (define @t254 () (@list true false)) % 6.53/6.78 (define @t255 () (not @t241)) % 6.53/6.78 (define @t256 () (or @t255 @t248)) % 6.53/6.78 (define @t257 () (not @t256)) % 6.53/6.78 (define @t258 () (forall @t109 (or (not @t108) @t107))) % 6.53/6.78 (define @t259 () (or @t147 @t146)) % 6.53/6.78 (define @t260 () (or @t149 @t259)) % 6.53/6.78 (define @t261 () (forall @t151 @t260)) % 6.53/6.78 (define @t262 () (@list @t143 @t140 @t139 @t142 @t141)) % 6.53/6.78 (define @t263 () (forall @t262 @t260)) % 6.53/6.78 (define @t264 () (forall @t262 @t259)) % 6.53/6.78 (define @t265 () (or @t149 @t264)) % 6.53/6.78 (define @t266 () (forall @t115 (or (not @t114) @t113))) % 6.53/6.78 (define @t267 () (and @t219 @t152)) % 6.53/6.78 (define @t268 () (not @t267)) % 6.53/6.78 (define @t269 () (not @t152)) % 6.53/6.78 (define @t270 () (@quantifiers_skolemize @t152 3)) % 6.53/6.78 (define @t271 () (tptp.remove_cpq @t215 @t270)) % 6.53/6.78 (define @t272 () (tptp.i @t271)) % 6.53/6.78 (define @t273 () (= @t272 (tptp.remove_pq @t216 @t270))) % 6.53/6.78 (define @t274 () (tptp.contains_pq @t216 @t270)) % 6.53/6.78 (define @t275 () (not @t274)) % 6.53/6.78 (define @t276 () (tptp.triple @t31 @t156 @t97)) % 6.53/6.78 (define @t277 () (tptp.i @t276)) % 6.53/6.78 (define @t278 () (forall @t121 (or (not (tptp.contains_pq @t277 @t95)) (= (tptp.i (tptp.remove_cpq @t276 @t95)) (tptp.remove_pq @t277 @t95))))) % 6.53/6.78 (define @t279 () (not @t278)) % 6.53/6.78 (define @t280 () (or @t279 @t275 @t273)) % 6.53/6.78 (define @t281 () (not @t280)) % 6.53/6.78 (define @t282 () (not @t273)) % 6.53/6.78 (define @t283 () (@list @t280)) % 6.53/6.78 (define @t284 () (= @t48 @t49)) % 6.53/6.78 (define @t285 () (tptp.contains_slb @t212 @t270)) % 6.53/6.78 (define @t286 () (or @t285 (= @t213 @t271))) % 6.53/6.78 (define @t287 () (forall @t29 (or @t47 @t284))) % 6.53/6.78 (define @t288 () (@list @t157 @t212 @t155 @t270)) % 6.53/6.78 (define @t289 () (= @t271 @t213)) % 6.53/6.78 (define @t290 () (or @t285 @t289)) % 6.53/6.78 (define @t291 () (tptp.contains_slb @t156 @t270)) % 6.53/6.78 (define @t292 () (= @t154 @t270)) % 6.53/6.78 (define @t293 () (or @t291 @t292)) % 6.53/6.78 (define @t294 () (= @t285 @t293)) % 6.53/6.78 (define @t295 () (@list @t156 @t154 @t270 @t153)) % 6.53/6.78 (define @t296 () (= @t270 @t154)) % 6.53/6.78 (define @t297 () (or @t291 @t296)) % 6.53/6.78 (define @t298 () (= @t285 @t297)) % 6.53/6.78 (define @t299 () (not @t298)) % 6.53/6.78 (define @t300 () (not @t285)) % 6.53/6.78 (define @t301 () (not @t57)) % 6.53/6.78 (define @t302 () (or @t50 @t301 @t55)) % 6.53/6.78 (define @t303 () (tptp.remove_slb @t212 @t270)) % 6.53/6.78 (define @t304 () (tptp.remove_pqp @t157 @t270)) % 6.53/6.78 (define @t305 () (tptp.triple @t304 @t303 @t155)) % 6.53/6.78 (define @t306 () (= @t271 @t305)) % 6.53/6.78 (define @t307 () (tptp.lookup_slb @t212 @t270)) % 6.53/6.78 (define @t308 () (tptp.less_than @t307 @t270)) % 6.53/6.78 (define @t309 () (not @t308)) % 6.53/6.78 (define @t310 () (or @t300 @t309 @t306)) % 6.53/6.78 (define @t311 () (tptp.remove_cpq @t213 @t270)) % 6.53/6.78 (define @t312 () (tptp.triple @t304 @t303 tptp.bad)) % 6.53/6.78 (define @t313 () (or @t300 @t309 (= @t311 @t312))) % 6.53/6.78 (define @t314 () (forall @t29 @t302)) % 6.53/6.78 (define @t315 () (@list @t157 @t212 tptp.bad @t270)) % 6.53/6.78 (define @t316 () (= @t312 @t311)) % 6.53/6.78 (define @t317 () (or @t300 @t309 @t316)) % 6.53/6.78 (define @t318 () (tptp.i @t305)) % 6.53/6.78 (define @t319 () (tptp.i @t312)) % 6.53/6.78 (define @t320 () (= @t319 @t318)) % 6.53/6.78 (define @t321 () (tptp.remove_pq @t214 @t270)) % 6.53/6.78 (define @t322 () (tptp.i @t311)) % 6.53/6.78 (define @t323 () (= @t322 @t321)) % 6.53/6.78 (define @t324 () (not @t323)) % 6.53/6.78 (define @t325 () (not @t320)) % 6.53/6.78 (define @t326 () (not @t316)) % 6.53/6.78 (define @t327 () (not @t217)) % 6.53/6.78 (define @t328 () (tptp.insert_pq @t159 @t154)) % 6.53/6.78 (define @t329 () (= @t216 @t328)) % 6.53/6.78 (define @t330 () (not @t329)) % 6.53/6.78 (define @t331 () (not @t306)) % 6.53/6.78 (define @t332 () (not @t282)) % 6.53/6.78 (define @t333 () (tptp.remove_pq @t328 @t270)) % 6.53/6.78 (define @t334 () (and @t282 @t306 @t329 @t217 @t316 @t320)) % 6.53/6.78 (define @t335 () (tptp.contains_pq @t159 @t270)) % 6.53/6.78 (define @t336 () (or @t335 @t292)) % 6.53/6.78 (define @t337 () (tptp.contains_pq @t328 @t270)) % 6.53/6.78 (define @t338 () (= @t337 @t336)) % 6.53/6.78 (define @t339 () (@list @t159 @t154 @t270)) % 6.53/6.78 (define @t340 () (or @t335 @t296)) % 6.53/6.78 (define @t341 () (= @t337 @t340)) % 6.53/6.78 (define @t342 () (and @t274 @t329)) % 6.53/6.78 (define @t343 () (not @t12)) % 6.53/6.78 (define @t344 () (or @t343 @t11 @t17)) % 6.53/6.78 (define @t345 () (not @t18)) % 6.53/6.78 (define @t346 () (tptp.remove_pq @t159 @t270)) % 6.53/6.78 (define @t347 () (= @t333 (tptp.insert_pq @t346 @t154))) % 6.53/6.78 (define @t348 () (not @t335)) % 6.53/6.78 (define @t349 () (or @t348 @t292 @t347)) % 6.53/6.78 (define @t350 () (forall @t6 @t344)) % 6.53/6.78 (define @t351 () (or @t348 @t296 @t347)) % 6.53/6.78 (define @t352 () (not @t297)) % 6.53/6.78 (define @t353 () (not @t25)) % 6.53/6.78 (define @t354 () (or @t11 @t353 @t35)) % 6.53/6.78 (define @t355 () (or @t11 @t353)) % 6.53/6.78 (define @t356 () (not @t36)) % 6.53/6.78 (define @t357 () (tptp.remove_slb @t156 @t270)) % 6.53/6.78 (define @t358 () (tptp.insert_slb @t357 @t211)) % 6.53/6.78 (define @t359 () (= @t303 @t358)) % 6.53/6.78 (define @t360 () (not @t291)) % 6.53/6.78 (define @t361 () (or @t292 @t360 @t359)) % 6.53/6.78 (define @t362 () (forall @t29 @t354)) % 6.53/6.78 (define @t363 () (or @t296 @t360 @t359)) % 6.53/6.78 (define @t364 () (or @t11 @t353 @t38)) % 6.53/6.78 (define @t365 () (tptp.lookup_slb @t156 @t270)) % 6.53/6.78 (define @t366 () (= @t307 @t365)) % 6.53/6.78 (define @t367 () (or @t292 @t360 @t366)) % 6.53/6.78 (define @t368 () (forall @t29 @t364)) % 6.53/6.78 (define @t369 () (or @t296 @t360 @t366)) % 6.53/6.78 (define @t370 () (tptp.remove_pq @t328 @t154)) % 6.53/6.78 (define @t371 () (= @t159 @t370)) % 6.53/6.78 (define @t372 () (tptp.insert_pq @t161 @t154)) % 6.53/6.78 (define @t373 () (= @t214 @t372)) % 6.53/6.78 (define @t374 () (tptp.remove_pq @t372 @t154)) % 6.53/6.78 (define @t375 () (= @t161 @t374)) % 6.53/6.78 (define @t376 () (tptp.contains_pq @t161 @t270)) % 6.53/6.78 (define @t377 () (and @t329 @t335 @t371 @t373 @t375 @t217)) % 6.53/6.78 (define @t378 () (tptp.less_than @t365 @t270)) % 6.53/6.78 (define @t379 () (and @t308 @t366)) % 6.53/6.78 (define @t380 () (tptp.remove_pq @t161 @t270)) % 6.53/6.78 (define @t381 () (tptp.remove_cpq @t160 @t270)) % 6.53/6.78 (define @t382 () (= (tptp.i @t381) @t380)) % 6.53/6.78 (define @t383 () (not @t376)) % 6.53/6.78 (define @t384 () (or @t383 @t382)) % 6.53/6.78 (define @t385 () (@list @t278)) % 6.53/6.78 (define @t386 () (tptp.triple @t304 @t357 tptp.bad)) % 6.53/6.78 (define @t387 () (= @t381 @t386)) % 6.53/6.78 (define @t388 () (not @t378)) % 6.53/6.78 (define @t389 () (or @t360 @t388 @t387)) % 6.53/6.78 (define @t390 () (tptp.i @t386)) % 6.53/6.78 (define @t391 () (tptp.insert_pq @t390 @t154)) % 6.53/6.78 (define @t392 () (= (tptp.i (tptp.triple @t304 @t358 tptp.bad)) @t391)) % 6.53/6.78 (define @t393 () (and @t329 @t371 @t347 @t359 @t373 @t375 @t217 @t382 @t316 @t387 @t392)) % 6.53/6.78 (define @t394 () (not @t392)) % 6.53/6.78 (define @t395 () (not @t375)) % 6.53/6.78 (define @t396 () (not @t373)) % 6.53/6.78 (define @t397 () (not @t359)) % 6.53/6.78 (define @t398 () (not @t347)) % 6.53/6.78 (define @t399 () (not @t371)) % 6.53/6.78 (define @t400 () (forall @t6 (= @t127 @t132))) % 6.53/6.78 (define @t401 () (@quantifiers_skolemize @t400 1)) % 6.53/6.78 (define @t402 () (@quantifiers_skolemize @t400 0)) % 6.53/6.78 (define @t403 () (tptp.i (tptp.triple @t402 @t156 @t401))) % 6.53/6.78 (define @t404 () (= @t159 @t403)) % 6.53/6.78 (define @t405 () (@quantifiers_skolemize @t258 2)) % 6.53/6.78 (define @t406 () (tptp.remove_pqp (@quantifiers_skolemize @t258 0) (@quantifiers_skolemize @t258 3))) % 6.53/6.78 (define @t407 () (tptp.triple @t406 @t303 @t405)) % 6.53/6.78 (define @t408 () (tptp.i @t407)) % 6.53/6.78 (define @t409 () (= @t318 @t408)) % 6.53/6.78 (define @t410 () (forall @t98 (= (tptp.i (tptp.triple @t97 @t156 @t96)) (tptp.i (tptp.triple @t95 @t156 @t94))))) % 6.53/6.78 (define @t411 () (@quantifiers_skolemize @t410 3)) % 6.53/6.78 (define @t412 () (@quantifiers_skolemize @t410 1)) % 6.53/6.78 (define @t413 () (tptp.i (tptp.triple @t412 @t156 @t411))) % 6.53/6.78 (define @t414 () (= @t403 @t413)) % 6.53/6.78 (define @t415 () (@quantifiers_skolemize @t410 2)) % 6.53/6.78 (define @t416 () (@quantifiers_skolemize @t410 0)) % 6.53/6.78 (define @t417 () (tptp.i (tptp.triple @t416 @t156 @t415))) % 6.53/6.78 (define @t418 () (@quantifiers_skolemize @t278 1)) % 6.53/6.78 (define @t419 () (@quantifiers_skolemize @t278 0)) % 6.53/6.78 (define @t420 () (tptp.i (tptp.triple @t419 @t156 @t418))) % 6.53/6.78 (define @t421 () (= @t417 @t420)) % 6.53/6.78 (define @t422 () (= @t420 @t417)) % 6.53/6.78 (define @t423 () (tptp.i (tptp.triple @t222 @t212 tptp.bad))) % 6.53/6.78 (define @t424 () (= @t216 @t423)) % 6.53/6.78 (define @t425 () (= @t413 @t417)) % 6.53/6.78 (define @t426 () (= @t417 @t413)) % 6.53/6.78 (define @t427 () (= @t420 (tptp.i (tptp.triple @t406 @t156 @t405)))) % 6.53/6.78 (define @t428 () (= @t156 (tptp.remove_slb @t212 @t154))) % 6.53/6.78 (define @t429 () (tptp.insert_pq (tptp.i (tptp.triple @t222 @t156 tptp.bad)) @t154)) % 6.53/6.78 (define @t430 () (= @t423 @t429)) % 6.53/6.78 (define @t431 () (tptp.remove_pq @t429 @t154)) % 6.53/6.78 (define @t432 () (and @t428 @t329 @t296 @t371 @t217 @t404 @t409 @t426 @t430 @t414 @t422 @t424 @t427 @t316 @t320)) % 6.53/6.78 (define @t433 () (not @t427)) % 6.53/6.78 (define @t434 () (not @t424)) % 6.53/6.78 (define @t435 () (not @t422)) % 6.53/6.78 (define @t436 () (not @t414)) % 6.53/6.78 (define @t437 () (not @t430)) % 6.53/6.78 (define @t438 () (not @t426)) % 6.53/6.78 (define @t439 () (not @t409)) % 6.53/6.78 (define @t440 () (not @t404)) % 6.53/6.78 (define @t441 () (not @t296)) % 6.53/6.78 (define @t442 () (not @t428)) % 6.53/6.78 (define @t443 () (tptp.less_than @t270 @t307)) % 6.53/6.78 (define @t444 () (or @t308 @t443)) % 6.53/6.78 (define @t445 () (not @t443)) % 6.53/6.78 (define @t446 () (and @t443 @t309)) % 6.53/6.78 (define @t447 () (tptp.strictly_less_than @t270 @t307)) % 6.53/6.78 (define @t448 () (= @t447 @t446)) % 6.53/6.78 (define @t449 () (not @t61)) % 6.53/6.78 (define @t450 () (= @t271 @t312)) % 6.53/6.78 (define @t451 () (not @t447)) % 6.53/6.78 (define @t452 () (or @t300 @t451 @t450)) % 6.53/6.78 (define @t453 () (and @t428 @t450 @t329 @t296 @t371 @t404 @t409 @t426 @t430 @t414 @t422 @t424 @t427 @t320)) % 6.53/6.78 (define @t454 () (not @t450)) % 6.53/6.78 (define @t455 () (tptp.remove_cpq @t158 @t270)) % 6.53/6.78 (define @t456 () (tptp.i @t455)) % 6.53/6.78 (define @t457 () (or @t348 (= @t456 @t346))) % 6.53/6.78 (define @t458 () (= @t346 @t456)) % 6.53/6.78 (define @t459 () (or @t348 @t458)) % 6.53/6.78 (define @t460 () (tptp.strictly_less_than @t270 @t365)) % 6.53/6.78 (define @t461 () (and @t447 @t366)) % 6.53/6.78 (define @t462 () (@list @t157 @t156 @t155 @t270)) % 6.53/6.78 (define @t463 () (= @t455 @t386)) % 6.53/6.78 (define @t464 () (not @t460)) % 6.53/6.78 (define @t465 () (or @t360 @t464 @t463)) % 6.53/6.78 (define @t466 () (and @t450 @t329 @t347 @t359 @t392 @t458 @t463)) % 6.53/6.78 (define @t467 () (not @t458)) % 6.53/6.78 (define @t468 () (= @t213 @t311)) % 6.53/6.78 (define @t469 () (or @t285 @t468)) % 6.53/6.78 (define @t470 () (@list @t297)) % 6.53/6.78 (define @t471 () (= @t160 @t455)) % 6.53/6.78 (define @t472 () (or @t291 @t471)) % 6.53/6.78 (define @t473 () (not @t471)) % 6.53/6.78 (define @t474 () (not @t468)) % 6.53/6.78 (define @t475 () (not @t289)) % 6.53/6.78 (define @t476 () (and @t323 @t324)) % 6.53/6.78 (assume @p1 (forall @t6 (=> (and @t5 @t4) (tptp.less_than @t2 @t1)))) % 6.53/6.78 (assume @p2 (forall @t8 (or @t5 @t7))) % 6.53/6.78 (assume @p3 (forall @t9 (tptp.less_than @t2 @t2))) % 6.53/6.78 (assume @p4 (forall @t8 (= (tptp.strictly_less_than @t2 @t3) (and @t5 (not @t7))))) % 6.53/6.78 (assume @p5 (forall @t9 (tptp.less_than tptp.bottom @t2))) % 6.53/6.78 (assume @p6 (not (tptp.isnonempty_pq tptp.create_pq))) % 6.53/6.78 (assume @p7 (forall @t8 (tptp.isnonempty_pq @t10))) % 6.53/6.78 (assume @p8 (forall @t9 (not (tptp.contains_pq tptp.create_pq @t2)))) % 6.53/6.78 (assume @p9 @t13) % 6.53/6.78 (assume @p10 (forall @t8 (= @t14 (forall (@list @t1) (=> @t12 @t4))))) % 6.53/6.78 (assume @p11 @t16) % 6.53/6.78 (assume @p12 @t20) % 6.53/6.78 (assume @p13 (forall @t8 (=> @t22 (= (tptp.findmin_pq_eff @t2 @t3) @t2)))) % 6.53/6.78 (assume @p14 (forall @t8 (=> @t22 (= (tptp.findmin_pq_res @t2 @t3) @t3)))) % 6.53/6.78 (assume @p15 (forall @t8 (=> @t22 (= (tptp.removemin_pq_eff @t2 @t3) (tptp.remove_pq @t2 @t3))))) % 6.53/6.78 (assume @p16 (forall @t8 (=> @t22 (= (tptp.removemin_pq_res @t2 @t3) @t3)))) % 6.53/6.78 (assume @p17 (forall @t6 (= (tptp.insert_pq @t10 @t1) (tptp.insert_pq (tptp.insert_pq @t2 @t1) @t3)))) % 6.53/6.78 (assume @p18 (not (tptp.isnonempty_slb tptp.create_slb))) % 6.53/6.78 (assume @p19 (forall @t6 (tptp.isnonempty_slb @t24))) % 6.53/6.78 (assume @p20 (forall @t9 (not (tptp.contains_slb tptp.create_slb @t2)))) % 6.53/6.78 (assume @p21 @t30) % 6.53/6.78 (assume @p22 (forall @t8 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 6.53/6.78 (assume @p23 (forall @t32 (= (tptp.pair_in_list @t28 @t1 @t31) (or (tptp.pair_in_list @t2 @t1 @t31) (and @t11 (= @t26 @t31)))))) % 6.53/6.78 (assume @p24 @t34) % 6.53/6.78 (assume @p25 @t37) % 6.53/6.78 (assume @p26 (forall @t6 (= (tptp.lookup_slb @t24 @t3) @t1))) % 6.53/6.78 (assume @p27 @t39) % 6.53/6.78 (assume @p28 (forall @t9 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 6.53/6.78 (assume @p29 (forall @t29 (=> (tptp.strictly_less_than @t26 @t1) (= @t41 (tptp.insert_slb @t40 @t23))))) % 6.53/6.78 (assume @p30 (forall @t29 (=> (tptp.less_than @t1 @t26) (= @t41 (tptp.insert_slb @t40 @t27))))) % 6.53/6.78 (assume @p31 (forall @t9 (tptp.succ_cpq @t2 @t2))) % 6.53/6.78 (assume @p32 (forall @t6 (=> @t42 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1))))) % 6.53/6.78 (assume @p33 (forall @t6 (=> @t42 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1))))) % 6.53/6.78 (assume @p34 (forall @t8 (=> @t42 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3))))) % 6.53/6.78 (assume @p35 (forall @t8 (=> @t42 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3))))) % 6.53/6.78 (assume @p36 (forall @t8 (tptp.check_cpq @t43))) % 6.53/6.78 (assume @p37 (forall @t32 (=> (tptp.less_than @t31 @t26) (= @t46 (tptp.check_cpq @t44))))) % 6.53/6.78 (assume @p38 (forall @t32 (=> (tptp.strictly_less_than @t26 @t31) (= @t46 false)))) % 6.53/6.78 (assume @p39 (forall @t29 (= (tptp.contains_cpq @t44 @t26) @t47))) % 6.53/6.78 (assume @p40 (forall @t8 (= (tptp.ok @t48) false))) % 6.53/6.78 (assume @p41 (forall @t6 (=> (not (tptp.ok @t44)) (= @t1 tptp.bad)))) % 6.53/6.78 (assume @p42 (forall @t29 (= (tptp.insert_cpq @t44 @t26) (tptp.triple (tptp.insert_pqp @t2 @t26) (tptp.insert_slb @t3 (tptp.pair @t26 tptp.bottom)) @t1)))) % 6.53/6.78 (assume @p43 @t52) % 6.53/6.78 (assume @p44 @t59) % 6.53/6.78 (assume @p45 @t63) % 6.53/6.78 (assume @p46 (forall @t8 (= (tptp.findmin_cpq_eff @t43) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 6.53/6.78 (assume @p47 (forall @t29 (=> (and @t69 (not @t68)) @t67))) % 6.53/6.78 (assume @p48 (forall @t29 (=> (and @t69 @t68 (tptp.strictly_less_than @t64 @t70)) @t67))) % 6.53/6.78 (assume @p49 (forall @t29 (=> (and @t69 @t68 (tptp.less_than @t70 @t64)) (= @t66 (tptp.triple @t2 @t65 @t1))))) % 6.53/6.78 (assume @p50 (forall @t8 (= (tptp.findmin_cpq_res @t43) tptp.bottom))) % 6.53/6.78 (assume @p51 (forall @t29 (=> @t69 (= (tptp.findmin_cpq_res @t44) @t64)))) % 6.53/6.78 (assume @p52 (forall @t9 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t71)))) % 6.53/6.78 (assume @p53 (forall @t9 (= (tptp.removemin_cpq_res @t2) @t71))) % 6.53/6.78 (assume @p54 @t73) % 6.53/6.78 (assume @p55 (forall @t32 (= (tptp.i @t45) (tptp.insert_pq @t74 @t26)))) % 6.53/6.78 (assume @p56 @t76) % 6.53/6.78 (assume @p57 (forall @t8 (= (tptp.pi_remove @t2 @t3) (tptp.pi_sharp_remove @t77 @t3)))) % 6.53/6.78 (assume @p58 (forall @t8 (= (tptp.pi_sharp_find_min @t2 @t3) @t22))) % 6.53/6.78 (assume @p59 (forall @t9 (= (tptp.pi_find_min @t2) @t79))) % 6.53/6.78 (assume @p60 (forall @t8 (= (tptp.pi_sharp_removemin @t2 @t3) @t22))) % 6.53/6.78 (assume @p61 (forall @t9 (= (tptp.pi_removemin @t2) @t79))) % 6.53/6.78 (assume @p62 (forall @t9 (= (tptp.phi @t2) (exists @t78 (and @t42 (tptp.ok @t3) (tptp.check_cpq @t3)))))) % 6.53/6.78 (assume @p63 @t104) % 6.53/6.78 (assume @p64 @t130) % 6.53/6.78 (assume @p65 (=> (and (forall @t6 (= @t132 @t127)) (forall @t124 (=> (forall @t121 (= (tptp.contains_cpq @t117 @t95) @t120)) (forall @t115 (= (tptp.contains_cpq @t131 @t91) (tptp.contains_pq (tptp.i @t131) @t91)))))) (forall @t109 (= (tptp.contains_cpq @t105 @t84) @t108)))) % 6.53/6.78 (assume @p66 @t138) % 6.53/6.78 (assume @p67 true) % 6.53/6.78 (step @p68 :rule instantiate :premises (@p55) :args ((@list @t157 @t156 @t155 @t154 @t153))) % 6.53/6.78 (step @p69 :rule eq-symm :args (@t15 @t2)) % 6.53/6.78 (step @p70 :rule cong :premises (@p69) :args (@t16)) % 6.53/6.78 (step @p71 :rule eq_resolve :premises (@p11 @p70)) % 6.53/6.78 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t159 @t154))) % 6.53/6.78 (step @p73 :rule instantiate :premises (@p55) :args ((@list @t157 @t156 tptp.bad @t154 @t153))) % 6.53/6.78 (step @p74 :rule instantiate :premises (@p71) :args ((@list @t161 @t154))) % 6.53/6.78 (step @p75 :rule bool-double-not-elim :args (@t174)) % 6.53/6.78 (step @p76 :rule refl :args (@t186)) % 6.53/6.78 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t186 (not @t185)))) % 6.53/6.78 (step @p78 :rule cnf_or_neg :args (@t186 0)) % 6.53/6.78 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 6.53/6.78 (step @p80 :rule reordering :premises (@p79) :args ((or @t174 @t186))) % 6.53/6.78 (step @p81 :rule cnf_or_neg :args (@t186 1)) % 6.53/6.78 (step @p82 :rule eq-symm :args (@t187 @t188)) % 6.53/6.78 (step @p83 :rule refl :args (@t174)) % 6.53/6.78 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t174 @t189))) % 6.53/6.78 (assume-push @p1173 @t174) % 6.53/6.78 (step @p86 :rule instantiate :premises (@p1173) :args ((@list @t182 @t179 @t181 @t175))) % 6.53/6.78 (step-pop @p1174 :rule scope :premises (@p86)) % 6.53/6.78 (step @p87 :rule process_scope :premises (@p1174) :args (@t189)) % 6.53/6.78 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 6.53/6.78 (step @p90 :rule implies_elim :premises (@p89)) % 6.53/6.78 (step @p91 :rule instantiate :premises (@p55) :args ((@list @t179 @t173 @t175 @t177 @t176))) % 6.53/6.78 (step @p92 :rule instantiate :premises (@p55) :args ((@list @t182 @t173 @t181 @t177 @t176))) % 6.53/6.78 (assume-push @p1175 @t190) % 6.53/6.78 (assume-push @p1176 @t192) % 6.53/6.78 (assume-push @p1177 @t193) % 6.53/6.78 (assume-push @p1178 @t190) % 6.53/6.78 (assume-push @p1179 @t193) % 6.53/6.78 (assume-push @p1180 @t192) % 6.53/6.78 (step @p99 :rule symm :premises (@p91)) % 6.53/6.78 (step @p100 :rule refl :args (@t177)) % 6.53/6.78 (step @p101 :rule symm :premises (@p1177)) % 6.53/6.78 (step @p102 :rule cong :premises (@p101 @p100) :args (@t191)) % 6.53/6.78 (step @p103 :rule trans :premises (@p92 @p102 @p99)) % 6.53/6.78 (step-pop @p1181 :rule scope :premises (@p103)) % 6.53/6.78 (step-pop @p1182 :rule scope :premises (@p1181)) % 6.53/6.78 (step-pop @p1183 :rule scope :premises (@p1182)) % 6.53/6.78 (step @p104 :rule process_scope :premises (@p1183) :args (@t184)) % 6.53/6.78 (step @p108 :rule and_intro :premises (@p91 @p1177 @p92)) % 6.53/6.78 (step @p109 :rule modus_ponens :premises (@p108 @p104)) % 6.53/6.78 (step-pop @p1184 :rule scope :premises (@p109)) % 6.53/6.78 (step-pop @p1185 :rule scope :premises (@p1184)) % 6.53/6.78 (step-pop @p1186 :rule scope :premises (@p1185)) % 6.53/6.78 (step @p110 :rule process_scope :premises (@p1186) :args (@t184)) % 6.53/6.78 (step @p114 :rule implies_elim :premises (@p110)) % 6.53/6.78 (step @p115 :rule cnf_and_neg :args (@t194)) % 6.53/6.78 (step @p116 :rule resolution :premises (@p115 @p114) :args (true @t194)) % 6.53/6.78 (step @p117 :rule reordering :premises (@p116) :args ((or @t184 (not @t190) (not @t192) (not @t193)))) % 6.53/6.78 (step @p118 :rule chain_m_resolution :premises (@p117 @p92 @p91 @p90 @p81 @p80) :args (@t186 (@list false false false true false) (@list @t192 @t190 @t193 @t184 @t174))) % 6.53/6.78 (step @p119 :rule refl :args (@t195)) % 6.53/6.78 (step @p120 :rule bool-double-not-elim :args (@t172)) % 6.53/6.78 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or (not @t196) @t195))) % 6.53/6.78 (assume-push @p1187 @t196) % 6.53/6.78 (step @p123 :rule skolemize :premises (@p1187)) % 6.53/6.78 (step-pop @p1188 :rule scope :premises (@p123)) % 6.53/6.78 (step @p124 :rule process_scope :premises (@p1188) :args (@t195)) % 6.53/6.78 (step @p126 :rule implies_elim :premises (@p124)) % 6.53/6.78 (step @p127 :rule eq_resolve :premises (@p126 @p121)) % 6.53/6.78 (step @p128 :rule chain_m_resolution :premises (@p127 @p118) :args (@t172 @t197 (@list @t186))) % 6.53/6.78 (step @p129 :rule eq-symm :args (@t72 tptp.create_pq)) % 6.53/6.78 (step @p130 :rule cong :premises (@p129) :args (@t73)) % 6.53/6.78 (step @p131 :rule eq_resolve :premises (@p54 @p130)) % 6.53/6.78 (step @p132 :rule instantiate :premises (@p131) :args ((@list @t199 @t198))) % 6.53/6.78 (step @p133 :rule instantiate :premises (@p131) :args ((@list @t201 @t200))) % 6.53/6.78 (step @p134 :rule symm :premises (@p133)) % 6.53/6.78 (step @p135 :rule trans :premises (@p134 @p132)) % 6.53/6.78 (step @p136 :rule refl :args (@t203)) % 6.53/6.78 (step @p137 :rule bool-double-not-elim :args (@t102)) % 6.53/6.78 (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((or (not @t204) @t203))) % 6.53/6.78 (assume-push @p1189 @t204) % 6.53/6.78 (step @p140 :rule skolemize :premises (@p1189)) % 6.53/6.78 (step-pop @p1190 :rule scope :premises (@p140)) % 6.53/6.78 (step @p141 :rule process_scope :premises (@p1190) :args (@t203)) % 6.53/6.78 (step @p143 :rule implies_elim :premises (@p141)) % 6.53/6.78 (step @p144 :rule eq_resolve :premises (@p143 @p138)) % 6.53/6.78 (step @p145 :rule chain_m_resolution :premises (@p144 @p135) :args (@t102 @t197 (@list @t202))) % 6.53/6.78 (step @p146 :rule cnf_and_neg :args (@t205)) % 6.53/6.78 (step @p147 :rule chain_m_resolution :premises (@p146 @p145 @p128) :args (@t205 @t206 (@list @t102 @t172))) % 6.53/6.78 (step @p148 :rule refl :args (@t85)) % 6.53/6.78 (step @p149 :rule quant-merge-prenex :args ((= (forall @t100 @t208) @t172))) % 6.53/6.78 (step @p150 :rule alpha_equiv :args (@t209 (@list @t168 @t166 @t167 @t162 @t164 @t163) (@list @t92 @t90 @t91 @t86 @t88 @t87))) % 6.53/6.78 (step @p151 :rule refl :args (@t170)) % 6.53/6.78 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t210)) % 6.53/6.78 (step @p153 :rule quant-miniscope-or :args ((= @t208 @t210))) % 6.53/6.78 (step @p154 :rule trans :premises (@p153 @p152)) % 6.53/6.78 (step @p155 :rule symm :premises (@p154)) % 6.53/6.78 (step @p156 :rule cong :premises (@p155) :args ((forall @t100 (or @t170 @t93)))) % 6.53/6.78 (step @p157 :rule trans :premises (@p156 @p149)) % 6.53/6.78 (step @p158 :rule bool-impl-elim :args (@t99 @t93)) % 6.53/6.78 (step @p159 :rule cong :premises (@p158) :args (@t101)) % 6.53/6.78 (step @p160 :rule trans :premises (@p159 @p157)) % 6.53/6.78 (step @p161 :rule refl :args (@t102)) % 6.53/6.78 (step @p162 :rule nary_cong :premises (@p161 @p160) :args (@t103)) % 6.53/6.78 (step @p163 :rule cong :premises (@p162 @p148) :args (@t104)) % 6.53/6.78 (step @p164 :rule eq_resolve :premises (@p63 @p163)) % 6.53/6.78 (step @p165 :rule implies_elim :premises (@p164)) % 6.53/6.78 (step @p166 :rule reordering :premises (@p165) :args ((or @t85 (not @t205)))) % 6.53/6.78 (step @p167 :rule chain_m_resolution :premises (@p166 @p147) :args (@t85 @t197 (@list @t205))) % 6.53/6.78 (assume-push @p1191 @t85) % 6.53/6.78 (step @p169 :rule instantiate :premises (@p1191) :args ((@list @t157 @t157 @t212 @t155 tptp.bad))) % 6.53/6.78 (step-pop @p1192 :rule scope :premises (@p169)) % 6.53/6.78 (step @p170 :rule process_scope :premises (@p1192) :args (@t217)) % 6.53/6.78 (step @p172 :rule implies_elim :premises (@p170)) % 6.53/6.78 (step @p173 :rule chain_m_resolution :premises (@p172 @p167) :args (@t217 @t197 @t218)) % 6.53/6.78 (step @p174 :rule instantiate :premises (@p8) :args ((@list @t220))) % 6.53/6.78 (step @p175 :rule false_intro :premises (@p174)) % 6.53/6.78 (step @p176 :rule refl :args (@t220)) % 6.53/6.78 (step @p177 :rule instantiate :premises (@p131) :args ((@list @t222 @t221))) % 6.53/6.78 (step @p178 :rule symm :premises (@p177)) % 6.53/6.78 (step @p179 :rule cong :premises (@p178 @p176) :args (@t225)) % 6.53/6.78 (step @p180 :rule trans :premises (@p179 @p175)) % 6.53/6.78 (step @p181 :rule false_elim :premises (@p180)) % 6.53/6.78 (step @p182 :rule bool-double-not-elim :args (@t225)) % 6.53/6.78 (step @p183 :rule refl :args (@t227)) % 6.53/6.78 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t227 (not @t226)))) % 6.53/6.78 (step @p185 :rule cnf_or_neg :args (@t227 0)) % 6.53/6.78 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 6.53/6.78 (step @p187 :rule reordering :premises (@p186) :args ((or @t225 @t227))) % 6.53/6.78 (step @p188 :rule chain_m_resolution :premises (@p187 @p181) :args (@t227 @t228 (@list @t225))) % 6.53/6.78 (step @p189 :rule refl :args (@t229)) % 6.53/6.78 (step @p190 :rule bool-double-not-elim :args (@t219)) % 6.53/6.78 (step @p191 :rule nary_cong :premises (@p190 @p189) :args ((or (not @t230) @t229))) % 6.53/6.78 (assume-push @p1193 @t230) % 6.53/6.78 (step @p193 :rule skolemize :premises (@p1193)) % 6.53/6.78 (step-pop @p1194 :rule scope :premises (@p193)) % 6.53/6.78 (step @p194 :rule process_scope :premises (@p1194) :args (@t229)) % 6.53/6.78 (step @p196 :rule implies_elim :premises 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:args (@t474)) % 6.53/6.79 (step @p1059 :rule refl :args (@t395)) % 6.53/6.79 (step @p1060 :rule refl :args (@t396)) % 6.53/6.79 (step @p1061 :rule refl :args (@t398)) % 6.53/6.79 (step @p1062 :rule refl :args (@t399)) % 6.53/6.79 (step @p1063 :rule refl :args (@t475)) % 6.53/6.79 (step @p1064 :rule nary_cong :premises (@p374 @p1063 @p372 @p1062 @p1061 @p1060 @p1059 @p371 @p1058 @p1057 @p1056) :args ((or @t332 @t475 @t330 @t399 @t398 @t396 @t395 @t327 @t474 @t473 @t467))) % 6.53/6.79 (assume-push @p1495 @t323) % 6.53/6.79 (assume-push @p1496 @t324) % 6.53/6.79 (step @p1067 :rule evaluate :args ((= false true))) % 6.53/6.79 (step @p1068 :rule true_intro :premises (@p1495)) % 6.53/6.79 (step @p1069 :rule false_intro :premises (@p1496)) % 6.53/6.79 (step @p1070 :rule symm :premises (@p1069)) % 6.53/6.79 (step @p1071 :rule trans :premises (@p1070 @p1068)) % 6.53/6.79 (step @p1072 false :rule eq_resolve :premises (@p1071 @p1067)) % 6.53/6.79 (step-pop @p1497 :rule scope :premises (@p1072)) % 6.53/6.79 (step-pop @p1498 :rule scope :premises (@p1497)) % 6.53/6.79 (step @p1073 :rule process_scope :premises (@p1498) :args (false)) % 6.53/6.79 (assume-push @p1499 @t282) % 6.53/6.79 (assume-push @p1500 @t289) % 6.53/6.79 (assume-push @p1501 @t329) % 6.53/6.79 (assume-push @p1502 @t371) % 6.53/6.79 (assume-push @p1503 @t347) % 6.53/6.79 (assume-push @p1504 @t373) % 6.53/6.79 (assume-push @p1505 @t375) % 6.53/6.79 (assume-push @p1506 @t217) % 6.53/6.79 (assume-push @p1507 @t468) % 6.53/6.79 (assume-push @p1508 @t471) % 6.53/6.79 (assume-push @p1509 @t458) % 6.53/6.79 (assume-push @p1510 @t282) % 6.53/6.79 (assume-push @p1511 @t289) % 6.53/6.79 (assume-push @p1512 @t468) % 6.53/6.79 (assume-push @p1513 @t329) % 6.53/6.79 (assume-push @p1514 @t217) % 6.53/6.79 (step @p1092 :rule false_intro :premises (@p1499)) % 6.53/6.79 (step @p389 :rule refl :args (@t270)) % 6.53/6.79 (step @p390 :rule symm :premises (@p68)) % 6.53/6.79 (step @p391 :rule cong :premises (@p390 @p389) :args (@t333)) % 6.53/6.79 (step @p1093 :rule symm :premises (@p1506)) % 6.53/6.79 (step @p1094 :rule trans :premises (@p1093 @p68)) % 6.53/6.79 (step @p1095 :rule cong :premises (@p1094 @p389) :args (@t321)) % 6.53/6.79 (step @p1096 :rule trans :premises (@p1095 @p391)) % 6.53/6.79 (step @p1097 :rule symm :premises (@p1500)) % 6.53/6.79 (step @p1098 :rule symm :premises (@p1507)) % 6.53/6.79 (step @p1099 :rule trans :premises (@p1098 @p1097)) % 6.53/6.79 (step @p1100 :rule cong :premises (@p1099) :args (@t322)) % 6.53/6.79 (step @p1101 :rule cong :premises (@p1100 @p1096) :args (@t323)) % 6.53/6.79 (step @p1102 :rule trans :premises (@p1101 @p1092)) % 6.53/6.79 (step @p1103 :rule false_elim :premises (@p1102)) % 6.53/6.79 (step-pop @p1515 :rule scope :premises (@p1103)) % 6.53/6.79 (step-pop @p1516 :rule scope :premises (@p1515)) % 6.53/6.79 (step-pop @p1517 :rule scope :premises (@p1516)) % 6.53/6.79 (step-pop @p1518 :rule scope :premises (@p1517)) % 6.53/6.79 (step-pop @p1519 :rule scope :premises (@p1518)) % 6.53/6.79 (step @p1104 :rule process_scope :premises (@p1519) :args (@t324)) % 6.53/6.79 (step @p1110 :rule and_intro :premises (@p1499 @p1500 @p1507 @p68 @p1506)) % 6.53/6.79 (step @p1111 :rule modus_ponens :premises (@p1110 @p1104)) % 6.53/6.79 (assume-push @p1520 @t217) % 6.53/6.79 (assume-push @p1521 @t329) % 6.53/6.79 (assume-push @p1522 @t347) % 6.53/6.79 (assume-push @p1523 @t458) % 6.53/6.79 (assume-push @p1524 @t471) % 6.53/6.79 (assume-push @p1525 @t375) % 6.53/6.79 (assume-push @p1526 @t373) % 6.53/6.79 (assume-push @p1527 @t371) % 6.53/6.79 (assume-push @p1528 @t289) % 6.53/6.79 (assume-push @p1529 @t468) % 6.53/6.79 (step @p389 :rule refl :args (@t270)) % 6.53/6.79 (step @p390 :rule symm :premises (@p68)) % 6.53/6.79 (step @p1122 :rule trans :premises (@p390 @p1506)) % 6.53/6.79 (step @p1123 :rule cong :premises (@p1122 @p389) :args (@t333)) % 6.53/6.79 (step @p1124 :rule symm :premises (@p1503)) % 6.53/6.79 (step @p560 :rule refl :args (@t154)) % 6.53/6.79 (step @p1125 :rule symm :premises (@p1509)) % 6.53/6.79 (step @p1126 :rule cong :premises (@p1508) :args (@t161)) % 6.53/6.79 (step @p1127 :rule trans :premises (@p1126 @p1125)) % 6.53/6.79 (step @p1128 :rule symm :premises (@p74)) % 6.53/6.79 (step @p1129 :rule trans :premises (@p1506 @p73)) % 6.53/6.79 (step @p1130 :rule trans :premises (@p390 @p1129)) % 6.53/6.79 (step @p1131 :rule cong :premises (@p1130 @p560) :args (@t370)) % 6.53/6.79 (step @p1132 :rule trans :premises (@p72 @p1131 @p1128)) % 6.53/6.79 (step @p1133 :rule trans :premises (@p1132 @p1127)) % 6.53/6.79 (step @p1134 :rule cong :premises (@p1133 @p560) :args (@t328)) % 6.53/6.79 (step @p1135 :rule symm :premises (@p1506)) % 6.53/6.79 (step @p1136 :rule cong :premises (@p1500) :args (@t272)) % 6.53/6.79 (step @p1137 :rule symm :premises (@p1500)) % 6.53/6.79 (step @p1138 :rule symm :premises (@p1507)) % 6.53/6.79 (step @p1139 :rule trans :premises (@p1138 @p1137)) % 6.53/6.79 (step @p1140 :rule cong :premises (@p1139) :args (@t322)) % 6.53/6.79 (step @p1141 :rule trans :premises (@p1140 @p1136 @p1135 @p68 @p1134 @p1124 @p1123)) % 6.53/6.79 (step-pop @p1530 :rule scope :premises (@p1141)) % 6.53/6.79 (step-pop @p1531 :rule scope :premises (@p1530)) % 6.53/6.79 (step-pop @p1532 :rule scope :premises (@p1531)) % 6.53/6.79 (step-pop @p1533 :rule scope :premises (@p1532)) % 6.53/6.79 (step-pop @p1534 :rule scope :premises (@p1533)) % 6.53/6.79 (step-pop @p1535 :rule scope :premises (@p1534)) % 0.36/6.80 (step-pop @p1536 :rule scope :premises (@p1535)) % 0.36/6.80 (step-pop @p1537 :rule scope :premises (@p1536)) % 0.36/6.80 (step-pop @p1538 :rule scope :premises (@p1537)) % 0.36/6.80 (step-pop @p1539 :rule scope :premises (@p1538)) % 0.36/6.80 (step @p1142 :rule process_scope :premises (@p1539) :args (@t323)) % 0.36/6.80 (step @p1153 :rule and_intro :premises (@p1506 @p68 @p1503 @p1509 @p1508 @p74 @p73 @p72 @p1500 @p1507)) % 0.36/6.80 (step @p1154 :rule modus_ponens :premises (@p1153 @p1142)) % 0.36/6.80 (step @p1155 :rule and_intro :premises (@p1154 @p1111)) % 0.36/6.80 (step-pop @p1540 :rule scope :premises (@p1155)) % 0.36/6.80 (step-pop @p1541 :rule scope :premises (@p1540)) % 0.36/6.80 (step-pop @p1542 :rule scope :premises (@p1541)) % 0.36/6.80 (step-pop @p1543 :rule scope :premises (@p1542)) % 0.36/6.80 (step-pop @p1544 :rule scope :premises (@p1543)) % 0.36/6.80 (step-pop @p1545 :rule scope :premises (@p1544)) % 0.36/6.80 (step-pop @p1546 :rule scope :premises (@p1545)) % 0.36/6.80 (step-pop @p1547 :rule scope :premises (@p1546)) % 0.36/6.80 (step-pop @p1548 :rule scope :premises (@p1547)) % 0.36/6.80 (step-pop @p1549 :rule scope :premises (@p1548)) % 0.36/6.80 (step-pop @p1550 :rule scope :premises (@p1549)) % 0.36/6.80 (step @p1156 :rule process_scope :premises (@p1550) :args (@t476)) % 0.36/6.80 (step @p1168 :rule implies_elim :premises (@p1156)) % 0.36/6.80 (step @p1169 :rule resolution :premises (@p1168 @p1073) :args (true @t476)) % 0.36/6.80 (step @p1170 :rule not_and :premises (@p1169)) % 0.36/6.80 (step @p1171 :rule eq_resolve :premises (@p1170 @p1064)) % 0.36/6.80 (step @p1172 false :rule chain_m_resolution :premises (@p1171 @p1055 @p1054 @p1050 @p1041 @p1037 @p295 @p173 @p74 @p73 @p72 @p68) :args (false (@list false false false false false true false false false false false) (@list @t458 @t347 @t471 @t468 @t289 @t273 @t217 @t375 @t373 @t371 @t329))) % 0.36/6.80 ) % 0.36/6.80 % SZS output end Proof % 0.36/6.80 % cvc5 exiting %------------------------------------------------------------------------------