TSTP Solution File: LCL011-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL011-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n006.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 13:43:23 EDT 2022
% Result : Unsatisfiable 1.58s 1.88s
% Output : Refutation 1.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n006.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 22:07:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.58/1.88 ============================== Prover9 ===============================
% 1.58/1.88 Prover9 (32) version 2009-11A, November 2009.
% 1.58/1.88 Process 1123 was started by sandbox on n006.cluster.edu,
% 1.58/1.88 Sun Jul 3 22:07:23 2022
% 1.58/1.88 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_928_n006.cluster.edu".
% 1.58/1.88 ============================== end of head ===========================
% 1.58/1.88
% 1.58/1.88 ============================== INPUT =================================
% 1.58/1.88
% 1.58/1.88 % Reading from file /tmp/Prover9_928_n006.cluster.edu
% 1.58/1.88
% 1.58/1.88 set(prolog_style_variables).
% 1.58/1.88 set(auto2).
% 1.58/1.88 % set(auto2) -> set(auto).
% 1.58/1.88 % set(auto) -> set(auto_inference).
% 1.58/1.88 % set(auto) -> set(auto_setup).
% 1.58/1.88 % set(auto_setup) -> set(predicate_elim).
% 1.58/1.88 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.58/1.88 % set(auto) -> set(auto_limits).
% 1.58/1.88 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.58/1.88 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.58/1.88 % set(auto) -> set(auto_denials).
% 1.58/1.88 % set(auto) -> set(auto_process).
% 1.58/1.88 % set(auto2) -> assign(new_constants, 1).
% 1.58/1.88 % set(auto2) -> assign(fold_denial_max, 3).
% 1.58/1.88 % set(auto2) -> assign(max_weight, "200.000").
% 1.58/1.88 % set(auto2) -> assign(max_hours, 1).
% 1.58/1.88 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.58/1.88 % set(auto2) -> assign(max_seconds, 0).
% 1.58/1.88 % set(auto2) -> assign(max_minutes, 5).
% 1.58/1.88 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.58/1.88 % set(auto2) -> set(sort_initial_sos).
% 1.58/1.88 % set(auto2) -> assign(sos_limit, -1).
% 1.58/1.88 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.58/1.88 % set(auto2) -> assign(max_megs, 400).
% 1.58/1.88 % set(auto2) -> assign(stats, some).
% 1.58/1.88 % set(auto2) -> clear(echo_input).
% 1.58/1.88 % set(auto2) -> set(quiet).
% 1.58/1.88 % set(auto2) -> clear(print_initial_clauses).
% 1.58/1.88 % set(auto2) -> clear(print_given).
% 1.58/1.88 assign(lrs_ticks,-1).
% 1.58/1.88 assign(sos_limit,10000).
% 1.58/1.88 assign(order,kbo).
% 1.58/1.88 set(lex_order_vars).
% 1.58/1.88 clear(print_given).
% 1.58/1.88
% 1.58/1.88 % formulas(sos). % not echoed (3 formulas)
% 1.58/1.88
% 1.58/1.88 ============================== end of input ==========================
% 1.58/1.88
% 1.58/1.88 % From the command line: assign(max_seconds, 300).
% 1.58/1.88
% 1.58/1.88 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.58/1.88
% 1.58/1.88 % Formulas that are not ordinary clauses:
% 1.58/1.88
% 1.58/1.88 ============================== end of process non-clausal formulas ===
% 1.58/1.88
% 1.58/1.88 ============================== PROCESS INITIAL CLAUSES ===============
% 1.58/1.88
% 1.58/1.88 ============================== PREDICATE ELIMINATION =================
% 1.58/1.88
% 1.58/1.88 ============================== end predicate elimination =============
% 1.58/1.88
% 1.58/1.88 Auto_denials:
% 1.58/1.88 % copying label prove_yqf to answer in negative clause
% 1.58/1.88
% 1.58/1.88 Term ordering decisions:
% 1.58/1.88 Function symbol KB weights: a=1. b=1. c=1. equivalent=1.
% 1.58/1.88
% 1.58/1.88 ============================== end of process initial clauses ========
% 1.58/1.88
% 1.58/1.88 ============================== CLAUSES FOR SEARCH ====================
% 1.58/1.88
% 1.58/1.88 ============================== end of clauses for search =============
% 1.58/1.88
% 1.58/1.88 ============================== SEARCH ================================
% 1.58/1.88
% 1.58/1.88 % Starting search at 0.01 seconds.
% 1.58/1.88
% 1.58/1.88 Low Water (keep): wt=36.000, iters=3351
% 1.58/1.88
% 1.58/1.88 Low Water (keep): wt=32.000, iters=3410
% 1.58/1.88
% 1.58/1.88 Low Water (keep): wt=28.000, iters=3345
% 1.58/1.88
% 1.58/1.88 Low Water (keep): wt=24.000, iters=3368
% 1.58/1.88
% 1.58/1.88 Low Water (keep): wt=20.000, iters=3419
% 1.58/1.88
% 1.58/1.88 ============================== PROOF =================================
% 1.58/1.88 % SZS status Unsatisfiable
% 1.58/1.88 % SZS output start Refutation
% 1.58/1.88
% 1.58/1.88 % Proof 1 at 0.86 (+ 0.01) seconds: prove_yqf.
% 1.58/1.88 % Length of proof is 16.
% 1.58/1.88 % Level of proof is 10.
% 1.58/1.88 % Maximum clause weight is 20.000.
% 1.58/1.88 % Given clauses 208.
% 1.58/1.88
% 1.58/1.88 1 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,A),equivalent(B,C)))) # label(yqj) # label(axiom). [assumption].
% 1.58/1.88 2 -is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))) # label(prove_yqf) # label(negated_conjecture) # answer(prove_yqf). [assumption].
% 1.58/1.88 3 -is_a_theorem(equivalent(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 1.58/1.88 4 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(equivalent(D,B),equivalent(C,D)),A))). [hyper(3,a,1,a,b,1,a)].
% 1.58/1.88 5 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(D,B))),equivalent(E,A)),equivalent(E,equivalent(C,D)))). [hyper(3,a,4,a,b,4,a)].
% 1.58/1.88 7 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(D,B),A)),equivalent(C,D))). [hyper(3,a,4,a,b,1,a)].
% 1.58/1.88 10 is_a_theorem(equivalent(A,equivalent(B,equivalent(A,B)))). [hyper(3,a,7,a,b,4,a)].
% 1.58/1.88 12 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,B),A)),C)). [hyper(3,a,4,a,b,10,a)].
% 1.58/1.88 29 is_a_theorem(equivalent(A,A)). [hyper(3,a,12,a,b,4,a)].
% 1.58/1.88 36 is_a_theorem(equivalent(A,equivalent(equivalent(B,B),A))). [hyper(3,a,10,a,b,29,a)].
% 1.58/1.88 38 is_a_theorem(equivalent(equivalent(A,B),equivalent(B,A))). [hyper(3,a,1,a,b,29,a)].
% 1.58/1.88 52 is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(B,C),equivalent(C,B)))). [hyper(3,a,36,a,b,38,a)].
% 1.58/1.88 56 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(C,B),A))). [hyper(3,a,1,a,b,38,a)].
% 1.58/1.88 564 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(B,C)),equivalent(C,A))). [hyper(3,a,5,a,b,52,a)].
% 1.58/1.88 8464 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,C),equivalent(C,B)))). [hyper(3,a,56,a,b,564,a)].
% 1.58/1.88 8465 $F # answer(prove_yqf). [resolve(8464,a,2,a)].
% 1.58/1.88
% 1.58/1.88 % SZS output end Refutation
% 1.58/1.88 ============================== end of proof ==========================
% 1.58/1.88
% 1.58/1.88 ============================== STATISTICS ============================
% 1.58/1.88
% 1.58/1.88 Given=208. Generated=24990. Kept=8464. proofs=1.
% 1.58/1.88 Usable=208. Sos=8241. Demods=0. Limbo=14, Disabled=3. Hints=0.
% 1.58/1.88 Megabytes=6.70.
% 1.58/1.88 User_CPU=0.86, System_CPU=0.01, Wall_clock=1.
% 1.58/1.88
% 1.58/1.88 ============================== end of statistics =====================
% 1.58/1.88
% 1.58/1.88 ============================== end of search =========================
% 1.58/1.88
% 1.58/1.88 THEOREM PROVED
% 1.58/1.88 % SZS status Unsatisfiable
% 1.58/1.88
% 1.58/1.88 Exiting with 1 proof.
% 1.58/1.88
% 1.58/1.88 Process 1123 exit (max_proofs) Sun Jul 3 22:07:24 2022
% 1.58/1.88 Prover9 interrupted
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