TSTP Solution File: LCL103-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL103-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n016.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 13:44:01 EDT 2022
% Result : Unsatisfiable 3.56s 3.87s
% Output : Refutation 3.56s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LCL103-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 3 10:29:15 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.56/3.87 ============================== Prover9 ===============================
% 3.56/3.87 Prover9 (32) version 2009-11A, November 2009.
% 3.56/3.87 Process 30256 was started by sandbox on n016.cluster.edu,
% 3.56/3.87 Sun Jul 3 10:29:16 2022
% 3.56/3.87 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_30102_n016.cluster.edu".
% 3.56/3.87 ============================== end of head ===========================
% 3.56/3.87
% 3.56/3.87 ============================== INPUT =================================
% 3.56/3.87
% 3.56/3.87 % Reading from file /tmp/Prover9_30102_n016.cluster.edu
% 3.56/3.87
% 3.56/3.87 set(prolog_style_variables).
% 3.56/3.87 set(auto2).
% 3.56/3.87 % set(auto2) -> set(auto).
% 3.56/3.87 % set(auto) -> set(auto_inference).
% 3.56/3.87 % set(auto) -> set(auto_setup).
% 3.56/3.87 % set(auto_setup) -> set(predicate_elim).
% 3.56/3.87 % set(auto_setup) -> assign(eq_defs, unfold).
% 3.56/3.87 % set(auto) -> set(auto_limits).
% 3.56/3.87 % set(auto_limits) -> assign(max_weight, "100.000").
% 3.56/3.87 % set(auto_limits) -> assign(sos_limit, 20000).
% 3.56/3.87 % set(auto) -> set(auto_denials).
% 3.56/3.87 % set(auto) -> set(auto_process).
% 3.56/3.87 % set(auto2) -> assign(new_constants, 1).
% 3.56/3.87 % set(auto2) -> assign(fold_denial_max, 3).
% 3.56/3.87 % set(auto2) -> assign(max_weight, "200.000").
% 3.56/3.87 % set(auto2) -> assign(max_hours, 1).
% 3.56/3.87 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 3.56/3.87 % set(auto2) -> assign(max_seconds, 0).
% 3.56/3.87 % set(auto2) -> assign(max_minutes, 5).
% 3.56/3.87 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 3.56/3.87 % set(auto2) -> set(sort_initial_sos).
% 3.56/3.87 % set(auto2) -> assign(sos_limit, -1).
% 3.56/3.87 % set(auto2) -> assign(lrs_ticks, 3000).
% 3.56/3.87 % set(auto2) -> assign(max_megs, 400).
% 3.56/3.87 % set(auto2) -> assign(stats, some).
% 3.56/3.87 % set(auto2) -> clear(echo_input).
% 3.56/3.87 % set(auto2) -> set(quiet).
% 3.56/3.87 % set(auto2) -> clear(print_initial_clauses).
% 3.56/3.87 % set(auto2) -> clear(print_given).
% 3.56/3.87 assign(lrs_ticks,-1).
% 3.56/3.87 assign(sos_limit,10000).
% 3.56/3.87 assign(order,kbo).
% 3.56/3.87 set(lex_order_vars).
% 3.56/3.87 clear(print_given).
% 3.56/3.87
% 3.56/3.87 % formulas(sos). % not echoed (4 formulas)
% 3.56/3.87
% 3.56/3.87 ============================== end of input ==========================
% 3.56/3.87
% 3.56/3.87 % From the command line: assign(max_seconds, 300).
% 3.56/3.87
% 3.56/3.87 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 3.56/3.87
% 3.56/3.87 % Formulas that are not ordinary clauses:
% 3.56/3.87
% 3.56/3.87 ============================== end of process non-clausal formulas ===
% 3.56/3.87
% 3.56/3.87 ============================== PROCESS INITIAL CLAUSES ===============
% 3.56/3.87
% 3.56/3.87 ============================== PREDICATE ELIMINATION =================
% 3.56/3.87
% 3.56/3.87 ============================== end predicate elimination =============
% 3.56/3.87
% 3.56/3.87 Auto_denials:
% 3.56/3.87 % copying label prove_lg_2 to answer in negative clause
% 3.56/3.87
% 3.56/3.87 Term ordering decisions:
% 3.56/3.87 Function symbol KB weights: a=1. b=1. c=1. e=1. equivalent=1.
% 3.56/3.87
% 3.56/3.87 ============================== end of process initial clauses ========
% 3.56/3.87
% 3.56/3.87 ============================== CLAUSES FOR SEARCH ====================
% 3.56/3.87
% 3.56/3.87 ============================== end of clauses for search =============
% 3.56/3.87
% 3.56/3.87 ============================== SEARCH ================================
% 3.56/3.87
% 3.56/3.87 % Starting search at 0.01 seconds.
% 3.56/3.87
% 3.56/3.87 Low Water (keep): wt=52.000, iters=3383
% 3.56/3.87
% 3.56/3.87 Low Water (keep): wt=48.000, iters=3383
% 3.56/3.87
% 3.56/3.87 Low Water (keep): wt=44.000, iters=3416
% 3.56/3.87
% 3.56/3.87 Low Water (keep): wt=40.000, iters=3343
% 3.56/3.87
% 3.56/3.87 Low Water (keep): wt=36.000, iters=3358
% 3.56/3.87
% 3.56/3.87 Low Water (keep): wt=32.000, iters=3401
% 3.56/3.87
% 3.56/3.87 Low Water (keep): wt=28.000, iters=3399
% 3.56/3.87
% 3.56/3.87 Low Water (keep): wt=24.000, iters=3350
% 3.56/3.87
% 3.56/3.87 Low Water (displace): id=3103, wt=84.000
% 3.56/3.87
% 3.56/3.87 Low Water (displace): id=3656, wt=80.000
% 3.56/3.87
% 3.56/3.87 Low Water (displace): id=5614, wt=76.000
% 3.56/3.87
% 3.56/3.87 Low Water (displace): id=5612, wt=72.000
% 3.56/3.87
% 3.56/3.87 Low Water (displace): id=5018, wt=68.000
% 3.56/3.87
% 3.56/3.87 Low Water (displace): id=5615, wt=64.000
% 3.56/3.87
% 3.56/3.87 Low Water (displace): id=5639, wt=60.000
% 3.56/3.87
% 3.56/3.87 Low Water (displace): id=5636, wt=56.000
% 3.56/3.87
% 3.56/3.87 Low Water (displace): id=5638, wt=52.000
% 3.56/3.87
% 3.56/3.87 Low Water (displace): id=5630, wt=48.000
% 3.56/3.87
% 3.56/3.87 Low Water (displace): id=5928, wt=44.000
% 3.56/3.87
% 3.56/3.87 Low Water (displace): id=10912, wt=20.000
% 3.56/3.87
% 3.56/3.87 Low Water (displace): id=11105, wt=16.000
% 3.56/3.87
% 3.56/3.87 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 12434 (0.00 of 2.64 sec).
% 3.56/3.87
% 3.56/3.87 ============================== PROOF =================================
% 3.56/3.87 % SZS status Unsatisfiable
% 3.56/3.87 % SZS output start Refutation
% 3.56/3.87
% 3.56/3.87 % Proof 1 at 2.81 (+ 0.10) seconds: prove_lg_2.
% 3.56/3.87 % Length of proof is 21.
% 3.56/3.87 % Level of proof is 12.
% 3.56/3.87 % Maximum clause weight is 20.000.
% 3.56/3.87 % Given clauses 548.
% 3.56/3.87
% 3.56/3.87 1 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,A),C)),C)) # label(q_3) # label(axiom). [assumption].
% 3.56/3.87 2 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(D,B),equivalent(equivalent(A,D),C)))) # label(p_1) # label(axiom). [assumption].
% 3.56/3.87 3 -is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),e)) # label(prove_lg_2) # label(negated_conjecture) # answer(prove_lg_2). [assumption].
% 3.56/3.87 4 -is_a_theorem(equivalent(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 3.56/3.87 5 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,D),A),equivalent(equivalent(E,D),equivalent(equivalent(C,E),B))))). [hyper(4,a,2,a,b,2,a)].
% 3.56/3.87 6 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),D)),equivalent(equivalent(equivalent(C,B),A),D))). [hyper(4,a,2,a,b,1,a)].
% 3.56/3.87 9 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,A),equivalent(C,B)))). [hyper(4,a,1,a,b,5,a)].
% 3.56/3.87 12 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(A,equivalent(equivalent(D,B),equivalent(D,C))))). [hyper(4,a,9,a,b,9,a)].
% 3.56/3.87 17 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),D)),equivalent(A,equivalent(equivalent(E,C),equivalent(equivalent(B,E),D))))). [hyper(4,a,9,a,b,2,a)].
% 3.56/3.87 18 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,B),D))),equivalent(A,D))). [hyper(4,a,9,a,b,1,a)].
% 3.56/3.87 19 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,D),E))),equivalent(A,equivalent(equivalent(equivalent(D,C),B),E)))). [hyper(4,a,9,a,b,6,a)].
% 3.56/3.87 23 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(B,C))). [hyper(4,a,6,a,b,9,a)].
% 3.56/3.87 31 is_a_theorem(equivalent(A,equivalent(equivalent(B,B),A))). [hyper(4,a,23,a,b,2,a)].
% 3.56/3.87 325 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(C,C)),equivalent(B,A)))). [hyper(4,a,12,a,b,31,a)].
% 3.56/3.87 436 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),B),C),equivalent(B,C))). [hyper(4,a,6,a,b,325,a)].
% 3.56/3.87 661 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,B),A)))). [hyper(4,a,436,a,b,2,a)].
% 3.56/3.87 960 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(D,B),equivalent(equivalent(C,D),A))))). [hyper(4,a,17,a,b,661,a)].
% 3.56/3.87 9893 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(B,D)),equivalent(equivalent(D,C),A)))). [hyper(4,a,19,a,b,960,a)].
% 3.56/3.87 12059 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,B),equivalent(D,C))),A))). [hyper(4,a,19,a,b,9893,a)].
% 3.56/3.87 13398 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(B,C)),D),D)). [hyper(4,a,18,a,b,12059,a)].
% 3.56/3.87 13399 $F # answer(prove_lg_2). [resolve(13398,a,3,a)].
% 3.56/3.87
% 3.56/3.87 % SZS output end Refutation
% 3.56/3.87 ============================== end of proof ==========================
% 3.56/3.87
% 3.56/3.87 ============================== STATISTICS ============================
% 3.56/3.87
% 3.56/3.87 Given=548. Generated=218896. Kept=13398. proofs=1.
% 3.56/3.87 Usable=548. Sos=9999. Demods=0. Limbo=14, Disabled=2840. Hints=0.
% 3.56/3.87 Megabytes=11.49.
% 3.56/3.87 User_CPU=2.81, System_CPU=0.10, Wall_clock=2.
% 3.56/3.87
% 3.56/3.87 ============================== end of statistics =====================
% 3.56/3.87
% 3.56/3.87 ============================== end of search =========================
% 3.56/3.87
% 3.56/3.87 THEOREM PROVED
% 3.56/3.87 % SZS status Unsatisfiable
% 3.56/3.87
% 3.56/3.87 Exiting with 1 proof.
% 3.56/3.87
% 3.56/3.87 Process 30256 exit (max_proofs) Sun Jul 3 10:29:18 2022
% 3.56/3.87 Prover9 interrupted
%------------------------------------------------------------------------------