TSTP Solution File: LCL024-10 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL024-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 13:43:28 EDT 2022
% Result : Unsatisfiable 27.90s 28.24s
% Output : Refutation 27.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL024-10 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.10 % Command : tptp2X_and_run_prover9 %d %s
% 0.10/0.30 % Computer : n015.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Mon Jul 4 15:50:16 EDT 2022
% 0.10/0.31 % CPUTime :
% 27.90/28.24 ============================== Prover9 ===============================
% 27.90/28.24 Prover9 (32) version 2009-11A, November 2009.
% 27.90/28.24 Process 24116 was started by sandbox2 on n015.cluster.edu,
% 27.90/28.24 Mon Jul 4 15:50:17 2022
% 27.90/28.24 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_23963_n015.cluster.edu".
% 27.90/28.24 ============================== end of head ===========================
% 27.90/28.24
% 27.90/28.24 ============================== INPUT =================================
% 27.90/28.24
% 27.90/28.24 % Reading from file /tmp/Prover9_23963_n015.cluster.edu
% 27.90/28.24
% 27.90/28.24 set(prolog_style_variables).
% 27.90/28.24 set(auto2).
% 27.90/28.24 % set(auto2) -> set(auto).
% 27.90/28.24 % set(auto) -> set(auto_inference).
% 27.90/28.24 % set(auto) -> set(auto_setup).
% 27.90/28.24 % set(auto_setup) -> set(predicate_elim).
% 27.90/28.24 % set(auto_setup) -> assign(eq_defs, unfold).
% 27.90/28.24 % set(auto) -> set(auto_limits).
% 27.90/28.24 % set(auto_limits) -> assign(max_weight, "100.000").
% 27.90/28.24 % set(auto_limits) -> assign(sos_limit, 20000).
% 27.90/28.24 % set(auto) -> set(auto_denials).
% 27.90/28.24 % set(auto) -> set(auto_process).
% 27.90/28.24 % set(auto2) -> assign(new_constants, 1).
% 27.90/28.24 % set(auto2) -> assign(fold_denial_max, 3).
% 27.90/28.24 % set(auto2) -> assign(max_weight, "200.000").
% 27.90/28.24 % set(auto2) -> assign(max_hours, 1).
% 27.90/28.24 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 27.90/28.24 % set(auto2) -> assign(max_seconds, 0).
% 27.90/28.24 % set(auto2) -> assign(max_minutes, 5).
% 27.90/28.24 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 27.90/28.24 % set(auto2) -> set(sort_initial_sos).
% 27.90/28.24 % set(auto2) -> assign(sos_limit, -1).
% 27.90/28.24 % set(auto2) -> assign(lrs_ticks, 3000).
% 27.90/28.24 % set(auto2) -> assign(max_megs, 400).
% 27.90/28.24 % set(auto2) -> assign(stats, some).
% 27.90/28.24 % set(auto2) -> clear(echo_input).
% 27.90/28.24 % set(auto2) -> set(quiet).
% 27.90/28.24 % set(auto2) -> clear(print_initial_clauses).
% 27.90/28.24 % set(auto2) -> clear(print_given).
% 27.90/28.24 assign(lrs_ticks,-1).
% 27.90/28.24 assign(sos_limit,10000).
% 27.90/28.24 assign(order,kbo).
% 27.90/28.24 set(lex_order_vars).
% 27.90/28.24 clear(print_given).
% 27.90/28.24
% 27.90/28.24 % formulas(sos). % not echoed (4 formulas)
% 27.90/28.24
% 27.90/28.24 ============================== end of input ==========================
% 27.90/28.24
% 27.90/28.24 % From the command line: assign(max_seconds, 300).
% 27.90/28.24
% 27.90/28.24 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 27.90/28.24
% 27.90/28.24 % Formulas that are not ordinary clauses:
% 27.90/28.24
% 27.90/28.24 ============================== end of process non-clausal formulas ===
% 27.90/28.24
% 27.90/28.24 ============================== PROCESS INITIAL CLAUSES ===============
% 27.90/28.24
% 27.90/28.24 ============================== PREDICATE ELIMINATION =================
% 27.90/28.24
% 27.90/28.24 ============================== end predicate elimination =============
% 27.90/28.24
% 27.90/28.24 Auto_denials:
% 27.90/28.24 % copying label prove_pyo to answer in negative clause
% 27.90/28.24
% 27.90/28.24 Term ordering decisions:
% 27.90/28.24
% 27.90/28.24 % Assigning unary symbol is_a_theorem kb_weight 0 and highest precedence (8).
% 27.90/28.24 Function symbol KB weights: true=1. a=1. b=1. c=1. equivalent=1. ifeq=1. is_a_theorem=0.
% 27.90/28.24
% 27.90/28.24 ============================== end of process initial clauses ========
% 27.90/28.24
% 27.90/28.24 ============================== CLAUSES FOR SEARCH ====================
% 27.90/28.24
% 27.90/28.24 ============================== end of clauses for search =============
% 27.90/28.24
% 27.90/28.24 ============================== SEARCH ================================
% 27.90/28.24
% 27.90/28.24 % Starting search at 0.01 seconds.
% 27.90/28.24
% 27.90/28.24 Low Water (keep): wt=46.000, iters=3336
% 27.90/28.24
% 27.90/28.24 Low Water (keep): wt=42.000, iters=3393
% 27.90/28.24
% 27.90/28.24 Low Water (keep): wt=38.000, iters=3345
% 27.90/28.24
% 27.90/28.24 Low Water (keep): wt=34.000, iters=3349
% 27.90/28.24
% 27.90/28.24 Low Water (keep): wt=30.000, iters=3335
% 27.90/28.24
% 27.90/28.24 Low Water (keep): wt=29.000, iters=3345
% 27.90/28.24
% 27.90/28.24 Low Water (keep): wt=26.000, iters=3336
% 27.90/28.24
% 27.90/28.24 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 5.56 sec).
% 27.90/28.24
% 27.90/28.24 Low Water (displace): id=1931, wt=62.000
% 27.90/28.24
% 27.90/28.24 Low Water (displace): id=5764, wt=58.000
% 27.90/28.24
% 27.90/28.24 Low Water (displace): id=12837, wt=22.000
% 27.90/28.24
% 27.90/28.24 Low Water (displace): id=12883, wt=18.000
% 27.90/28.24
% 27.90/28.24 Low Water (keep): wt=25.000, iters=3336
% 27.90/28.24
% 27.90/28.24 Low Water (keep): wt=22.000, iters=3348
% 27.90/28.24
% 27.90/28.24 ============================== PROOF =================================
% 27.90/28.24 % SZS status Unsatisfiable
% 27.90/28.24 % SZS output start Refutation
% 27.90/28.24
% 27.90/28.24 % Proof 1 at 26.27 (+ 0.98) seconds: prove_pyo.
% 27.90/28.24 % Length of proof is 60.
% 27.90/28.24 % Level of proof is 32.
% 27.90/28.24 % Maximum clause weight is 25.000.
% 27.90/28.24 % Given clauses 2552.
% 27.90/28.24
% 27.90/28.24 1 ifeq(A,A,B,C) = B # label(ifeq_axiom) # label(axiom). [assumption].
% 27.90/28.24 2 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(C,A)),equivalent(C,B)))) = true # label(xgk) # label(axiom). [assumption].
% 27.90/28.24 3 ifeq(is_a_theorem(equivalent(A,B)),true,ifeq(is_a_theorem(A),true,is_a_theorem(B),true),true) = true # label(condensed_detachment) # label(axiom). [assumption].
% 27.90/28.24 4 is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))) != true # label(prove_pyo) # label(negated_conjecture) # answer(prove_pyo). [assumption].
% 27.90/28.24 5 ifeq(is_a_theorem(A),true,is_a_theorem(equivalent(equivalent(B,equivalent(C,A)),equivalent(C,B))),true) = true. [para(2(a,1),3(a,1,1)),rewrite([1(13)])].
% 27.90/28.24 6 ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(C,A)),equivalent(C,B))),D)),true,is_a_theorem(D),true) = true. [para(2(a,1),3(a,1,3,1)),rewrite([1(13)])].
% 27.90/28.24 8 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(equivalent(D,equivalent(E,C)),equivalent(E,D))))),equivalent(B,A))) = true. [para(2(a,1),5(a,1,1)),rewrite([1(14)])].
% 27.90/28.24 11 ifeq(is_a_theorem(equivalent(A,equivalent(B,equivalent(C,equivalent(equivalent(D,equivalent(E,C)),equivalent(E,D)))))),true,is_a_theorem(equivalent(B,A)),true) = true. [para(8(a,1),3(a,1,1)),rewrite([1(17)])].
% 27.90/28.24 15 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(B,A)),equivalent(C,D)),D)) = true. [para(8(a,1),6(a,1,1)),rewrite([1(12)])].
% 27.90/28.24 17 ifeq(is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(B,A)),equivalent(C,D))),true,is_a_theorem(D),true) = true. [para(15(a,1),3(a,1,1)),rewrite([1(15)])].
% 27.90/28.24 25 is_a_theorem(equivalent(A,A)) = true. [para(15(a,1),17(a,1,1)),rewrite([1(6)])].
% 27.90/28.24 32 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,C))),equivalent(B,A))) = true. [para(25(a,1),5(a,1,1)),rewrite([1(10)])].
% 27.90/28.24 40 ifeq(is_a_theorem(equivalent(A,equivalent(B,equivalent(C,C)))),true,is_a_theorem(equivalent(B,A)),true) = true. [para(32(a,1),3(a,1,1)),rewrite([1(13)])].
% 27.90/28.24 43 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(D,equivalent(E,E))),equivalent(D,C)))),equivalent(B,A))) = true. [para(32(a,1),5(a,1,1)),rewrite([1(14)])].
% 27.90/28.24 44 is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),B)) = true. [para(32(a,1),6(a,1,1)),rewrite([1(8)])].
% 27.90/28.24 52 ifeq(is_a_theorem(equivalent(A,equivalent(A,B))),true,is_a_theorem(B),true) = true. [para(44(a,1),3(a,1,1)),rewrite([1(11)])].
% 27.90/28.24 53 ifeq(is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(A,B)),B),C)),true,is_a_theorem(C),true) = true. [para(44(a,1),3(a,1,3,1)),rewrite([1(11)])].
% 27.90/28.24 55 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(C,D)),D))),equivalent(B,A))) = true. [para(44(a,1),5(a,1,1)),rewrite([1(12)])].
% 27.90/28.24 137 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,equivalent(C,D)),equivalent(C,B)),equivalent(D,equivalent(A,equivalent(E,E)))))) = true. [para(15(a,1),40(a,1,1)),rewrite([1(14)])].
% 27.90/28.24 141 is_a_theorem(equivalent(A,equivalent(B,equivalent(B,equivalent(A,equivalent(C,C)))))) = true. [para(44(a,1),40(a,1,1)),rewrite([1(10)])].
% 27.90/28.24 185 is_a_theorem(equivalent(A,equivalent(B,equivalent(B,A)))) = true. [para(141(a,1),11(a,1,1)),rewrite([1(8)])].
% 27.90/28.24 194 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(D,equivalent(D,C))))),equivalent(B,A))) = true. [para(185(a,1),5(a,1,1)),rewrite([1(12)])].
% 27.90/28.24 969 ifeq(is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(C,D)),D)))),true,is_a_theorem(equivalent(B,A)),true) = true. [para(55(a,1),3(a,1,1)),rewrite([1(15)])].
% 27.90/28.24 991 is_a_theorem(equivalent(A,equivalent(B,equivalent(B,equivalent(A,equivalent(equivalent(C,equivalent(C,D)),D)))))) = true. [para(55(a,1),53(a,1,1)),rewrite([1(12)])].
% 27.90/28.24 1646 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(A,equivalent(C,C))),D)),D)) = true. [para(43(a,1),6(a,1,1)),rewrite([1(12)])].
% 27.90/28.24 1846 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(A,B)),equivalent(B,C)),C)) = true. [para(194(a,1),6(a,1,1)),rewrite([1(10)])].
% 27.90/28.24 1890 ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),equivalent(B,C))),true,is_a_theorem(C),true) = true. [para(1846(a,1),3(a,1,1)),rewrite([1(13)])].
% 27.90/28.24 5430 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(C,B)),A)))) = true. [para(991(a,1),11(a,1,1)),rewrite([1(10)])].
% 27.90/28.24 5479 is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),equivalent(equivalent(C,equivalent(D,B)),equivalent(D,C)))) = true. [para(5430(a,1),17(a,1,1)),rewrite([1(12)])].
% 27.90/28.24 5520 is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),equivalent(C,equivalent(C,B)))) = true. [para(5430(a,1),1890(a,1,1)),rewrite([1(10)])].
% 27.90/28.24 5675 ifeq(is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(A,B)),equivalent(C,equivalent(C,B))),D)),true,is_a_theorem(D),true) = true. [para(5520(a,1),3(a,1,3,1)),rewrite([1(13)])].
% 27.90/28.24 8151 ifeq(is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(A,equivalent(C,C))),D))),true,is_a_theorem(D),true) = true. [para(1646(a,1),3(a,1,1)),rewrite([1(15)])].
% 27.90/28.24 9454 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(B,A)),equivalent(D,equivalent(D,C)))) = true. [para(137(a,1),11(a,1,1)),rewrite([1(12)])].
% 27.90/28.24 9887 ifeq(is_a_theorem(equivalent(A,equivalent(A,B))),true,is_a_theorem(equivalent(equivalent(C,equivalent(D,B)),equivalent(D,C))),true) = true. [para(5479(a,1),3(a,1,1)),rewrite([1(15)])].
% 27.90/28.24 13757 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(B,A)),C)),equivalent(D,equivalent(D,C)))) = true. [para(5479(a,1),969(a,1,1)),rewrite([1(12)])].
% 27.90/28.24 15352 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,C))),equivalent(D,equivalent(D,equivalent(B,A))))) = true. [para(43(a,1),5675(a,1,1)),rewrite([1(12)])].
% 27.90/28.24 15400 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,equivalent(B,A)),equivalent(D,D))))) = true. [para(15352(a,1),11(a,1,1)),rewrite([1(12)])].
% 27.90/28.24 15598 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(C,equivalent(B,A))))),equivalent(D,D))) = true. [para(15400(a,1),1890(a,1,1)),rewrite([1(12)])].
% 27.90/28.24 15792 is_a_theorem(equivalent(A,equivalent(B,equivalent(C,equivalent(C,equivalent(B,A)))))) = true. [para(15598(a,1),52(a,1,1)),rewrite([1(10)])].
% 27.90/28.24 15804 ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(C,equivalent(B,A))))),D)),true,is_a_theorem(D),true) = true. [para(15792(a,1),3(a,1,3,1)),rewrite([1(13)])].
% 27.90/28.24 16078 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(A,C)),equivalent(D,D))),C)) = true. [para(9454(a,1),8151(a,1,1)),rewrite([1(12)])].
% 27.90/28.24 16086 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(A,B)),C),equivalent(B,equivalent(D,D))),C)) = true. [para(13757(a,1),8151(a,1,1)),rewrite([1(12)])].
% 27.90/28.24 16162 ifeq(is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(A,C)),equivalent(D,D)))),true,is_a_theorem(C),true) = true. [para(16078(a,1),3(a,1,1)),rewrite([1(15)])].
% 27.90/28.24 16184 ifeq(is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(A,B)),C),equivalent(B,equivalent(D,D)))),true,is_a_theorem(C),true) = true. [para(16086(a,1),3(a,1,1)),rewrite([1(15)])].
% 27.90/28.24 19212 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(A,equivalent(B,equivalent(C,C)))),equivalent(D,D))) = true. [para(16078(a,1),16184(a,1,1)),rewrite([1(12)])].
% 27.90/28.24 19219 is_a_theorem(equivalent(equivalent(A,B),equivalent(A,equivalent(B,equivalent(C,C))))) = true. [para(19212(a,1),52(a,1,1)),rewrite([1(10)])].
% 27.90/28.24 19224 ifeq(is_a_theorem(equivalent(A,B)),true,is_a_theorem(equivalent(A,equivalent(B,equivalent(C,C)))),true) = true. [para(19219(a,1),3(a,1,1)),rewrite([1(13)])].
% 27.90/28.24 19227 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(C,equivalent(C,equivalent(B,A)))),equivalent(D,D)))) = true. [para(19219(a,1),15804(a,1,1)),rewrite([1(12)])].
% 27.90/28.24 19252 is_a_theorem(equivalent(A,equivalent(B,equivalent(A,B)))) = true. [para(19227(a,1),16162(a,1,1)),rewrite([1(8)])].
% 27.90/28.24 19298 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(A,B)),equivalent(C,C)))) = true. [para(19252(a,1),19224(a,1,1)),rewrite([1(10)])].
% 27.90/28.24 19321 is_a_theorem(equivalent(equivalent(A,equivalent(B,A)),B)) = true. [para(19298(a,1),40(a,1,1)),rewrite([1(8)])].
% 27.90/28.24 19333 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(D,C)),D))),equivalent(B,A))) = true. [para(19321(a,1),5(a,1,1)),rewrite([1(12)])].
% 27.90/28.24 19713 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(A,B)),C)),C)) = true. [para(19333(a,1),6(a,1,1)),rewrite([1(10)])].
% 27.90/28.24 19717 ifeq(is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(A,B)),C))),true,is_a_theorem(C),true) = true. [para(19713(a,1),3(a,1,1)),rewrite([1(13)])].
% 27.90/28.24 19753 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(B,A)),equivalent(C,C))) = true. [para(15400(a,1),19717(a,1,1)),rewrite([1(10)])].
% 27.90/28.24 19784 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,D),equivalent(D,C)))),equivalent(B,A))) = true. [para(19753(a,1),9887(a,1,1)),rewrite([1(12)])].
% 27.90/28.24 20769 is_a_theorem(equivalent(equivalent(A,B),equivalent(C,equivalent(C,equivalent(B,A))))) = true. [para(19784(a,1),5675(a,1,1)),rewrite([1(10)])].
% 27.90/28.24 21006 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(C,equivalent(B,A))))) = true. [para(20769(a,1),17(a,1,1)),rewrite([1(10)])].
% 27.90/28.24 21408 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),C),equivalent(B,A))) = true. [para(21006(a,1),11(a,1,1)),rewrite([1(10)])].
% 27.90/28.24 21409 $F # answer(prove_pyo). [resolve(21408,a,4,a)].
% 27.90/28.24
% 27.90/28.24 % SZS output end Refutation
% 27.90/28.24 ============================== end of proof ==========================
% 27.90/28.24
% 27.90/28.24 ============================== STATISTICS ============================
% 27.90/28.24
% 27.90/28.24 Given=2552. Generated=1835017. Kept=21408. proofs=1.
% 27.90/28.24 Usable=2523. Sos=9999. Demods=12525. Limbo=4, Disabled=8885. Hints=0.
% 27.90/28.24 Megabytes=20.18.
% 27.90/28.24 User_CPU=26.28, System_CPU=0.98, Wall_clock=27.
% 27.90/28.24
% 27.90/28.24 ============================== end of statistics =====================
% 27.90/28.24
% 27.90/28.24 ============================== end of search =========================
% 27.90/28.24
% 27.90/28.24 THEOREM PROVED
% 27.90/28.24 % SZS status Unsatisfiable
% 27.90/28.24
% 27.90/28.24 Exiting with 1 proof.
% 27.90/28.24
% 27.90/28.24 Process 24116 exit (max_proofs) Mon Jul 4 15:50:44 2022
% 27.90/28.24 Prover9 interrupted
%------------------------------------------------------------------------------