TSTP Solution File: LAT394-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT394-2 : TPTP v8.1.0. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n004.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 06:28:37 EDT 2022
% Result : Unsatisfiable 1.73s 2.01s
% Output : Refutation 1.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT394-2 : TPTP v8.1.0. Released v5.4.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 20:07:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.73/2.01 ============================== Prover9 ===============================
% 1.73/2.01 Prover9 (32) version 2009-11A, November 2009.
% 1.73/2.01 Process 1522 was started by sandbox2 on n004.cluster.edu,
% 1.73/2.01 Wed Jun 29 20:07:38 2022
% 1.73/2.01 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_1367_n004.cluster.edu".
% 1.73/2.01 ============================== end of head ===========================
% 1.73/2.01
% 1.73/2.01 ============================== INPUT =================================
% 1.73/2.01
% 1.73/2.01 % Reading from file /tmp/Prover9_1367_n004.cluster.edu
% 1.73/2.01
% 1.73/2.01 set(prolog_style_variables).
% 1.73/2.01 set(auto2).
% 1.73/2.01 % set(auto2) -> set(auto).
% 1.73/2.01 % set(auto) -> set(auto_inference).
% 1.73/2.01 % set(auto) -> set(auto_setup).
% 1.73/2.01 % set(auto_setup) -> set(predicate_elim).
% 1.73/2.01 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.73/2.01 % set(auto) -> set(auto_limits).
% 1.73/2.01 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.73/2.01 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.73/2.01 % set(auto) -> set(auto_denials).
% 1.73/2.01 % set(auto) -> set(auto_process).
% 1.73/2.01 % set(auto2) -> assign(new_constants, 1).
% 1.73/2.01 % set(auto2) -> assign(fold_denial_max, 3).
% 1.73/2.01 % set(auto2) -> assign(max_weight, "200.000").
% 1.73/2.01 % set(auto2) -> assign(max_hours, 1).
% 1.73/2.01 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.73/2.01 % set(auto2) -> assign(max_seconds, 0).
% 1.73/2.01 % set(auto2) -> assign(max_minutes, 5).
% 1.73/2.01 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.73/2.01 % set(auto2) -> set(sort_initial_sos).
% 1.73/2.01 % set(auto2) -> assign(sos_limit, -1).
% 1.73/2.01 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.73/2.01 % set(auto2) -> assign(max_megs, 400).
% 1.73/2.01 % set(auto2) -> assign(stats, some).
% 1.73/2.01 % set(auto2) -> clear(echo_input).
% 1.73/2.01 % set(auto2) -> set(quiet).
% 1.73/2.01 % set(auto2) -> clear(print_initial_clauses).
% 1.73/2.01 % set(auto2) -> clear(print_given).
% 1.73/2.01 assign(lrs_ticks,-1).
% 1.73/2.01 assign(sos_limit,10000).
% 1.73/2.01 assign(order,kbo).
% 1.73/2.01 set(lex_order_vars).
% 1.73/2.01 clear(print_given).
% 1.73/2.01
% 1.73/2.01 % formulas(sos). % not echoed (2 formulas)
% 1.73/2.01
% 1.73/2.01 ============================== end of input ==========================
% 1.73/2.01
% 1.73/2.01 % From the command line: assign(max_seconds, 300).
% 1.73/2.01
% 1.73/2.01 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.73/2.01
% 1.73/2.01 % Formulas that are not ordinary clauses:
% 1.73/2.01
% 1.73/2.01 ============================== end of process non-clausal formulas ===
% 1.73/2.01
% 1.73/2.01 ============================== PROCESS INITIAL CLAUSES ===============
% 1.73/2.01
% 1.73/2.01 ============================== PREDICATE ELIMINATION =================
% 1.73/2.01
% 1.73/2.01 ============================== end predicate elimination =============
% 1.73/2.01
% 1.73/2.01 Auto_denials:
% 1.73/2.01 % copying label goals to answer in negative clause
% 1.73/2.01
% 1.73/2.01 Term ordering decisions:
% 1.73/2.01 Function symbol KB weights: x0=1. x1=1. f=1.
% 1.73/2.01
% 1.73/2.01 ============================== end of process initial clauses ========
% 1.73/2.01
% 1.73/2.01 ============================== CLAUSES FOR SEARCH ====================
% 1.73/2.01
% 1.73/2.01 ============================== end of clauses for search =============
% 1.73/2.01
% 1.73/2.01 ============================== SEARCH ================================
% 1.73/2.01
% 1.73/2.01 % Starting search at 0.01 seconds.
% 1.73/2.01
% 1.73/2.01 ============================== PROOF =================================
% 1.73/2.01 % SZS status Unsatisfiable
% 1.73/2.01 % SZS output start Refutation
% 1.73/2.01
% 1.73/2.01 % Proof 1 at 1.02 (+ 0.01) seconds: goals.
% 1.73/2.01 % Length of proof is 51.
% 1.73/2.01 % Level of proof is 23.
% 1.73/2.01 % Maximum clause weight is 149.000.
% 1.73/2.01 % Given clauses 59.
% 1.73/2.01
% 1.73/2.01 1 f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))) = B # label(sos) # label(axiom). [assumption].
% 1.73/2.01 2 f(x0,f(x0,x0)) != f(x1,f(x1,x1)) # label(goals) # label(negated_conjecture) # answer(goals). [assumption].
% 1.73/2.01 3 f(x1,f(x1,x1)) != f(x0,f(x0,x0)) # answer(goals). [copy(2),flip(a)].
% 1.73/2.01 4 f(f(f(A,f(f(A,f(f(A,f(f(B,B),B)),C)),D)),E),f(f(A,f(f(A,f(f(B,B),B)),C)),f(f(f(A,f(f(A,f(f(B,B),B)),C)),f(f(f(f(f(B,A),f(A,C)),F),f(f(f(B,A),f(A,C)),F)),f(f(f(B,A),f(A,C)),F))),D))) = f(A,f(f(A,f(f(B,B),B)),C)). [para(1(a,1),1(a,1,1,1,1))].
% 1.73/2.01 5 f(f(f(f(A,f(f(f(B,C),f(C,D)),E)),C),F),f(f(f(f(B,C),f(C,D)),E),f(f(f(f(f(B,C),f(C,D)),E),f(f(A,A),A)),f(C,f(f(C,f(f(B,B),B)),D))))) = f(f(f(B,C),f(C,D)),E). [para(1(a,1),1(a,1,1,1,2))].
% 1.73/2.01 7 f(A,f(f(A,B),f(f(f(A,B),f(f(f(C,A),f(C,A)),f(C,A))),D))) = f(A,B). [para(1(a,1),1(a,1,1))].
% 1.73/2.01 9 f(f(f(f(A,f(f(B,f(f(B,f(f(B,f(f(C,C),C)),D)),E)),F)),f(B,f(f(B,f(f(C,C),C)),D))),V6),f(f(f(B,f(f(B,f(f(B,f(f(C,C),C)),D)),E)),F),f(f(f(f(B,f(f(B,f(f(B,f(f(C,C),C)),D)),E)),F),f(f(A,A),A)),f(f(B,f(f(B,f(f(C,C),C)),D)),f(f(f(B,f(f(B,f(f(C,C),C)),D)),f(f(f(f(f(C,B),f(B,D)),V7),f(f(f(C,B),f(B,D)),V7)),f(f(f(C,B),f(B,D)),V7))),E))))) = f(f(B,f(f(B,f(f(B,f(f(C,C),C)),D)),E)),F). [para(4(a,1),1(a,1,1,1,2))].
% 1.73/2.01 20 f(f(f(f(A,B),f(B,f(f(f(B,f(f(A,A),A)),C),f(f(f(f(B,f(f(A,A),A)),C),f(f(f(D,f(B,f(f(A,A),A))),f(D,f(B,f(f(A,A),A)))),f(D,f(B,f(f(A,A),A))))),E)))),F),f(B,f(f(B,f(f(A,A),A)),C))) = B. [para(7(a,1),1(a,1,2,2))].
% 1.73/2.01 21 f(f(f(f(A,B),f(B,f(f(f(B,f(f(A,A),A)),f(f(f(C,B),f(C,B)),f(C,B))),D))),E),f(B,f(f(A,A),A))) = B. [para(7(a,1),1(a,1,2))].
% 1.73/2.01 23 f(f(A,B),f(f(f(A,B),f(B,C)),B)) = f(f(A,B),f(B,C)). [para(1(a,1),7(a,1,2,2))].
% 1.73/2.01 37 f(f(f(f(A,B),f(B,C)),B),f(B,B)) = B. [para(1(a,1),23(a,1,2,1)),rewrite([1(16)])].
% 1.73/2.01 51 f(f(A,A),f(A,A)) = A. [para(1(a,1),37(a,1,1,1))].
% 1.73/2.01 62 f(f(A,B),f(A,f(f(A,f(f(A,A),A)),A))) = A. [para(51(a,1),1(a,1,1,1))].
% 1.73/2.01 102 f(f(f(f(A,f(B,C)),B),D),f(f(B,C),f(f(f(B,C),f(f(A,A),A)),f(B,f(f(B,f(f(B,B),B)),B))))) = f(B,C). [para(51(a,1),5(a,1,1,1,1,2,1)),rewrite([51(7),51(8),51(20)])].
% 1.73/2.01 137 f(A,f(f(A,B),f(A,B))) = f(A,B). [para(62(a,1),7(a,1,2,2))].
% 1.73/2.01 138 f(A,f(f(A,f(f(A,f(f(A,A),A)),A)),B)) = f(A,A). [para(62(a,1),23(a,1,1)),rewrite([62(7),62(13),62(8)]),flip(a)].
% 1.73/2.01 140 f(A,f(f(A,f(f(A,A),A)),A)) = f(A,A). [para(62(a,1),37(a,1,1,1,1)),rewrite([138(7),62(7),62(11)]),flip(a)].
% 1.73/2.01 163 f(A,f(f(A,A),B)) = f(A,A). [back_rewrite(138),rewrite([140(5)])].
% 1.73/2.01 172 f(f(f(f(A,f(B,C)),B),D),f(f(B,C),f(f(f(B,C),f(f(A,A),A)),f(B,B)))) = f(B,C). [back_rewrite(102),rewrite([163(12),163(12)])].
% 1.73/2.01 173 f(f(A,B),f(A,A)) = A. [back_rewrite(62),rewrite([163(4),163(4)])].
% 1.73/2.01 189 f(f(f(A,A),B),A) = f(A,A). [para(173(a,1),173(a,1,2))].
% 1.73/2.01 220 f(f(A,A),f(A,B)) = A. [para(173(a,1),163(a,1,2,1)),rewrite([173(6)])].
% 1.73/2.01 286 f(f(f(A,B),f(A,B)),A) = f(A,B). [para(173(a,1),220(a,1,2))].
% 1.73/2.01 363 f(f(f(f(A,B),f(B,C)),D),f(B,B)) = B. [para(1(a,1),137(a,1,2,1)),rewrite([1(14),1(16)])].
% 1.73/2.01 381 f(f(A,A),f(f(f(B,A),f(A,C)),D)) = A. [para(1(a,1),286(a,1,1,1)),rewrite([1(10),1(16)])].
% 1.73/2.01 446 f(f(A,B),f(B,B)) = B. [para(173(a,1),363(a,1,1))].
% 1.73/2.01 480 f(A,f(f(B,A),f(B,A))) = f(B,A). [para(446(a,1),173(a,1,1))].
% 1.73/2.01 481 f(f(A,f(B,B)),B) = f(B,B). [para(173(a,1),446(a,1,2))].
% 1.73/2.01 483 f(f(A,A),f(B,A)) = A. [para(446(a,1),286(a,1,1,1)),rewrite([446(3),446(6)])].
% 1.73/2.01 513 f(A,f(B,f(A,A))) = f(A,A). [para(483(a,1),5(a,2)),rewrite([220(3),220(9),220(12),163(18),163(18),172(19)])].
% 1.73/2.01 527 f(f(A,f(f(A,f(f(B,B),B)),C)),f(A,f(f(A,f(f(B,B),B)),C))) = A. [para(481(a,1),1(a,1))].
% 1.73/2.01 668 f(f(f(f(A,B),f(C,B)),D),f(B,B)) = B. [para(480(a,1),363(a,1,1,1,2))].
% 1.73/2.01 692 f(A,f(f(A,f(f(A,f(f(B,B),B)),C)),D)) = f(A,f(f(A,f(f(B,B),B)),C)). [para(4(a,1),381(a,1,2,1)),rewrite([527(11)])].
% 1.73/2.01 707 f(f(A,B),f(A,f(f(A,f(f(C,C),C)),D))) = A. [para(381(a,1),9(a,1,2,2,1)),rewrite([692(7),692(12),527(11),692(7),692(12),527(11),220(7),692(8),692(13),527(12),692(8),692(35),692(14),692(19),527(18)])].
% 1.73/2.01 713 f(f(A,A),f(f(f(B,A),f(C,A)),D)) = A. [para(480(a,1),381(a,1,2,1,2))].
% 1.73/2.01 921 f(A,f(f(A,f(f(B,B),B)),C)) = f(A,A). [para(20(a,1),446(a,1,1)),rewrite([707(11)]),flip(a)].
% 1.73/2.01 1017 f(A,f(f(f(B,f(A,A)),f(C,f(A,A))),D)) = f(A,A). [para(173(a,1),713(a,1,1))].
% 1.73/2.01 1099 f(f(f(f(A,f(B,f(f(f(A,A),A),f(f(A,A),A)))),f(f(B,f(f(f(A,A),A),f(f(A,A),A))),f(f(f(f(f(A,A),A),f(f(A,A),A)),f(f(f(C,f(B,f(f(f(A,A),A),f(f(A,A),A)))),f(C,f(B,f(f(f(A,A),A),f(f(A,A),A))))),f(C,f(B,f(f(f(A,A),A),f(f(A,A),A)))))),D))),E),f(f(f(A,A),A),f(f(A,A),A))) = f(B,f(f(f(A,A),A),f(f(A,A),A))). [para(481(a,1),21(a,1,1,1,2,2,1,1)),rewrite([481(55)])].
% 1.73/2.01 1102 f(f(A,B),f(A,f(f(C,C),C))) = A. [para(513(a,1),21(a,1,1,1,2)),rewrite([446(3)])].
% 1.73/2.01 1105 f(A,f(f(B,B),B)) = f(A,A). [para(21(a,1),381(a,1,2,1,1)),rewrite([1102(7),921(5),163(3)]),flip(a)].
% 1.73/2.01 1112 f(f(A,B),f(f(f(C,C),C),f(f(C,C),C))) = f(f(C,C),C). [para(21(a,1),668(a,1,1,1))].
% 1.73/2.01 1119 f(f(f(f(A,A),A),f(f(A,A),A)),f(B,C)) = f(f(A,A),A). [para(21(a,1),713(a,1,2,1))].
% 1.73/2.01 1128 f(f(f(f(A,A),A),f(f(A,A),A)),B) = f(f(A,A),A). [para(21(a,1),21(a,1,1,1,2,2,1,1)),rewrite([480(8),1119(17),1017(32),1119(16),163(9),480(11),1119(20),1017(35),1119(19),480(22),1119(31),1017(46),1119(30),480(29),1119(38),1017(53),1119(37),480(37),1119(46),1017(61),1119(45),1119(40),1119(16),480(9),1119(18),1017(33),1119(17),1119(17),189(12),173(9),480(8),1119(17),1017(32),1119(16)]),flip(a)].
% 1.73/2.01 1131 f(A,f(f(f(B,B),B),f(f(B,B),B))) = f(f(B,B),B). [back_rewrite(1099),rewrite([1128(42),1112(25)]),flip(a)].
% 1.73/2.01 1147 f(f(f(A,A),A),B) = f(B,B). [para(1105(a,1),480(a,2)),rewrite([1102(9)])].
% 1.73/2.01 1265 f(f(f(A,A),A),f(f(A,A),A)) = f(f(f(B,B),B),f(f(B,B),B)). [para(1147(a,1),1105(a,1))].
% 1.73/2.01 1277 f(f(f(A,A),A),f(f(A,A),A)) = c_0. [new_symbol(1265)].
% 1.73/2.01 1279 f(f(A,A),A) = f(B,c_0). [back_rewrite(1131),rewrite([1277(5)]),flip(a)].
% 1.73/2.01 1619 f(A,f(A,A)) = f(B,c_0). [para(173(a,1),1279(a,1,1))].
% 1.73/2.01 2073 f(x0,f(x0,x0)) != f(A,c_0) # answer(goals). [para(1619(a,1),3(a,1)),flip(a)].
% 1.73/2.01 2074 $F # answer(goals). [resolve(2073,a,1619,a)].
% 1.73/2.01
% 1.73/2.01 % SZS output end Refutation
% 1.73/2.01 ============================== end of proof ==========================
% 1.73/2.01
% 1.73/2.01 ============================== STATISTICS ============================
% 1.73/2.01
% 1.73/2.01 Given=59. Generated=9909. Kept=2072. proofs=1.
% 1.73/2.01 Usable=40. Sos=970. Demods=814. Limbo=0, Disabled=1063. Hints=0.
% 1.73/2.01 Megabytes=4.56.
% 1.73/2.01 User_CPU=1.02, System_CPU=0.01, Wall_clock=1.
% 1.73/2.01
% 1.73/2.01 ============================== end of statistics =====================
% 1.73/2.01
% 1.73/2.01 ============================== end of search =========================
% 1.73/2.01
% 1.73/2.01 THEOREM PROVED
% 1.73/2.01 % SZS status Unsatisfiable
% 1.73/2.01
% 1.73/2.01 Exiting with 1 proof.
% 1.73/2.01
% 1.73/2.01 Process 1522 exit (max_proofs) Wed Jun 29 20:07:39 2022
% 1.73/2.01 Prover9 interrupted
%------------------------------------------------------------------------------