TSTP Solution File: LCL250-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL250-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.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 13:45:28 EDT 2022
% Result : Unsatisfiable 1.45s 1.75s
% Output : Refutation 1.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LCL250-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.05/0.11 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jul 3 04:07:10 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.57/0.86 ============================== Prover9 ===============================
% 0.57/0.86 Prover9 (32) version 2009-11A, November 2009.
% 0.57/0.86 Process 24335 was started by sandbox on n025.cluster.edu,
% 0.57/0.86 Sun Jul 3 04:07:11 2022
% 0.57/0.86 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_24181_n025.cluster.edu".
% 0.57/0.86 ============================== end of head ===========================
% 0.57/0.86
% 0.57/0.86 ============================== INPUT =================================
% 0.57/0.86
% 0.57/0.86 % Reading from file /tmp/Prover9_24181_n025.cluster.edu
% 0.57/0.86
% 0.57/0.86 set(prolog_style_variables).
% 0.57/0.86 set(auto2).
% 0.57/0.86 % set(auto2) -> set(auto).
% 0.57/0.86 % set(auto) -> set(auto_inference).
% 0.57/0.86 % set(auto) -> set(auto_setup).
% 0.57/0.86 % set(auto_setup) -> set(predicate_elim).
% 0.57/0.86 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.57/0.86 % set(auto) -> set(auto_limits).
% 0.57/0.86 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.57/0.86 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.57/0.86 % set(auto) -> set(auto_denials).
% 0.57/0.86 % set(auto) -> set(auto_process).
% 0.57/0.86 % set(auto2) -> assign(new_constants, 1).
% 0.57/0.86 % set(auto2) -> assign(fold_denial_max, 3).
% 0.57/0.86 % set(auto2) -> assign(max_weight, "200.000").
% 0.57/0.86 % set(auto2) -> assign(max_hours, 1).
% 0.57/0.86 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.57/0.86 % set(auto2) -> assign(max_seconds, 0).
% 0.57/0.86 % set(auto2) -> assign(max_minutes, 5).
% 0.57/0.86 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.57/0.86 % set(auto2) -> set(sort_initial_sos).
% 0.57/0.86 % set(auto2) -> assign(sos_limit, -1).
% 0.57/0.86 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.57/0.86 % set(auto2) -> assign(max_megs, 400).
% 0.57/0.86 % set(auto2) -> assign(stats, some).
% 0.57/0.86 % set(auto2) -> clear(echo_input).
% 0.57/0.86 % set(auto2) -> set(quiet).
% 0.57/0.86 % set(auto2) -> clear(print_initial_clauses).
% 0.57/0.86 % set(auto2) -> clear(print_given).
% 0.57/0.86 assign(lrs_ticks,-1).
% 0.57/0.86 assign(sos_limit,10000).
% 0.57/0.86 assign(order,kbo).
% 0.57/0.86 set(lex_order_vars).
% 0.57/0.86 clear(print_given).
% 0.57/0.86
% 0.57/0.86 % formulas(sos). % not echoed (9 formulas)
% 0.57/0.86
% 0.57/0.86 ============================== end of input ==========================
% 0.57/0.86
% 0.57/0.86 % From the command line: assign(max_seconds, 300).
% 0.57/0.86
% 0.57/0.86 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.57/0.86
% 0.57/0.86 % Formulas that are not ordinary clauses:
% 0.57/0.86
% 0.57/0.86 ============================== end of process non-clausal formulas ===
% 0.57/0.86
% 0.57/0.86 ============================== PROCESS INITIAL CLAUSES ===============
% 0.57/0.86
% 0.57/0.86 ============================== PREDICATE ELIMINATION =================
% 0.57/0.86 1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom). [assumption].
% 0.57/0.86 2 axiom(or(not(or(A,A)),A)) # label(axiom_1_2) # label(axiom). [assumption].
% 0.57/0.86 3 axiom(or(not(A),or(B,A))) # label(axiom_1_3) # label(axiom). [assumption].
% 0.57/0.86 4 axiom(or(not(or(A,B)),or(B,A))) # label(axiom_1_4) # label(axiom). [assumption].
% 0.57/0.86 5 axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom). [assumption].
% 0.57/0.86 6 axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) # label(axiom_1_6) # label(axiom). [assumption].
% 0.57/0.86 Derived: theorem(or(not(or(A,A)),A)). [resolve(1,b,2,a)].
% 0.57/0.86 Derived: theorem(or(not(A),or(B,A))). [resolve(1,b,3,a)].
% 0.57/0.86 Derived: theorem(or(not(or(A,B)),or(B,A))). [resolve(1,b,4,a)].
% 0.57/0.86 Derived: theorem(or(not(or(A,or(B,C))),or(B,or(A,C)))). [resolve(1,b,5,a)].
% 0.57/0.86 Derived: theorem(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))). [resolve(1,b,6,a)].
% 0.57/0.86 7 theorem(A) | -axiom(or(not(B),A)) | -theorem(B) # label(rule_2) # label(axiom). [assumption].
% 0.57/0.86 Derived: theorem(A) | -theorem(or(A,A)). [resolve(7,b,2,a)].
% 0.57/0.86 Derived: theorem(or(A,B)) | -theorem(B). [resolve(7,b,3,a)].
% 0.57/0.86 Derived: theorem(or(A,B)) | -theorem(or(B,A)). [resolve(7,b,4,a)].
% 0.57/0.86 Derived: theorem(or(A,or(B,C))) | -theorem(or(B,or(A,C))). [resolve(7,b,5,a)].
% 0.57/0.86 Derived: theorem(or(not(or(A,B)),or(A,C))) | -theorem(or(not(B),C)). [resolve(7,b,6,a)].
% 0.57/0.86 8 theorem(or(not(A),B)) | -axiom(or(not(A),C)) | -theorem(or(not(C),B)) # label(rule_3) # label(axiom). [assumption].
% 0.57/0.86 Derived: theorem(or(not(or(A,A)),B)) | -theorem(or(not(A),B)). [resolve(8,b,2,a)].
% 0.57/0.86 Derived: theorem(or(not(A),B)) | -theorem(or(not(or(C,A)),B)). [resolve(8,b,3,a)].
% 0.57/0.86 Derived: theorem(or(not(or(A,B)),C)) | -theorem(or(not(or(B,A)),C)). [resolve(8,b,4,a)].
% 0.57/0.86 Derived: theorem(or(not(or(A,or(B,C))),D)) | -theorem(or(not(or(B,or(A,C))),D)). [resolve(8,b,5,a)].
% 1.45/1.75 Derived: theorem(or(not(or(not(A),B)),C)) | -theorem(or(not(or(not(or(D,A)),or(D,B))),C)). [resolve(8,b,6,a)].
% 1.45/1.75
% 1.45/1.75 ============================== end predicate elimination =============
% 1.45/1.75
% 1.45/1.75 Auto_denials:
% 1.45/1.75 % copying label prove_this to answer in negative clause
% 1.45/1.75
% 1.45/1.75 Term ordering decisions:
% 1.45/1.75
% 1.45/1.75 % Assigning unary symbol not kb_weight 0 and highest precedence (6).
% 1.45/1.75 Function symbol KB weights: p=1. q=1. r=1. or=1. not=0.
% 1.45/1.75
% 1.45/1.75 ============================== end of process initial clauses ========
% 1.45/1.75
% 1.45/1.75 ============================== CLAUSES FOR SEARCH ====================
% 1.45/1.75
% 1.45/1.75 ============================== end of clauses for search =============
% 1.45/1.75
% 1.45/1.75 ============================== SEARCH ================================
% 1.45/1.75
% 1.45/1.75 % Starting search at 0.01 seconds.
% 1.45/1.75
% 1.45/1.75 Low Water (keep): wt=35.000, iters=3380
% 1.45/1.75
% 1.45/1.75 Low Water (keep): wt=34.000, iters=3407
% 1.45/1.75
% 1.45/1.75 Low Water (keep): wt=30.000, iters=3358
% 1.45/1.75
% 1.45/1.75 Low Water (keep): wt=28.000, iters=3363
% 1.45/1.75
% 1.45/1.75 Low Water (keep): wt=25.000, iters=3349
% 1.45/1.75
% 1.45/1.75 Low Water (keep): wt=24.000, iters=3355
% 1.45/1.75
% 1.45/1.75 ============================== PROOF =================================
% 1.45/1.75 % SZS status Unsatisfiable
% 1.45/1.75 % SZS output start Refutation
% 1.45/1.75
% 1.45/1.75 % Proof 1 at 0.88 (+ 0.02) seconds: prove_this.
% 1.45/1.75 % Length of proof is 25.
% 1.45/1.75 % Level of proof is 8.
% 1.45/1.75 % Maximum clause weight is 20.000.
% 1.45/1.75 % Given clauses 2227.
% 1.45/1.75
% 1.45/1.75 1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom). [assumption].
% 1.45/1.75 2 axiom(or(not(or(A,A)),A)) # label(axiom_1_2) # label(axiom). [assumption].
% 1.45/1.75 3 axiom(or(not(A),or(B,A))) # label(axiom_1_3) # label(axiom). [assumption].
% 1.45/1.75 4 axiom(or(not(or(A,B)),or(B,A))) # label(axiom_1_4) # label(axiom). [assumption].
% 1.45/1.75 5 axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom). [assumption].
% 1.45/1.75 6 axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) # label(axiom_1_6) # label(axiom). [assumption].
% 1.45/1.75 7 theorem(A) | -axiom(or(not(B),A)) | -theorem(B) # label(rule_2) # label(axiom). [assumption].
% 1.45/1.75 8 theorem(or(not(A),B)) | -axiom(or(not(A),C)) | -theorem(or(not(C),B)) # label(rule_3) # label(axiom). [assumption].
% 1.45/1.75 9 -theorem(or(not(or(not(q),r)),or(not(not(or(not(p),not(q)))),r))) # label(prove_this) # label(negated_conjecture) # answer(prove_this). [assumption].
% 1.45/1.75 10 theorem(or(not(or(A,A)),A)). [resolve(1,b,2,a)].
% 1.45/1.75 18 theorem(or(A,or(B,C))) | -theorem(or(B,or(A,C))). [resolve(7,b,5,a)].
% 1.45/1.75 19 theorem(or(not(or(A,B)),or(A,C))) | -theorem(or(not(B),C)). [resolve(7,b,6,a)].
% 1.45/1.75 21 theorem(or(not(A),B)) | -theorem(or(not(or(C,A)),B)). [resolve(8,b,3,a)].
% 1.45/1.75 22 theorem(or(not(or(A,B)),C)) | -theorem(or(not(or(B,A)),C)). [resolve(8,b,4,a)].
% 1.45/1.75 23 theorem(or(not(or(A,or(B,C))),D)) | -theorem(or(not(or(B,or(A,C))),D)). [resolve(8,b,5,a)].
% 1.45/1.75 24 theorem(or(not(or(not(A),B)),C)) | -theorem(or(not(or(not(or(D,A)),or(D,B))),C)). [resolve(8,b,6,a)].
% 1.45/1.75 48 theorem(or(not(or(A,or(B,B))),or(A,B))). [ur(19,b,10,a)].
% 1.45/1.75 59 -theorem(or(not(or(r,not(q))),or(not(not(or(not(p),not(q)))),r))) # answer(prove_this). [resolve(22,a,9,a)].
% 1.45/1.75 501 theorem(or(not(or(not(A),B)),or(not(or(B,A)),B))). [ur(24,b,48,a)].
% 1.45/1.75 712 -theorem(or(not(or(A,or(r,not(q)))),or(not(not(or(not(p),not(q)))),r))) # answer(prove_this). [resolve(59,a,21,a)].
% 1.45/1.75 3341 theorem(or(not(or(A,not(B))),or(not(or(A,B)),A))). [ur(22,b,501,a)].
% 1.45/1.75 7896 theorem(or(not(not(A)),or(not(or(B,A)),B))). [ur(21,b,3341,a)].
% 1.45/1.75 7904 theorem(or(not(or(A,B)),or(not(not(B)),A))). [ur(18,b,7896,a)].
% 1.45/1.75 7920 theorem(or(not(or(A,or(B,C))),or(not(not(or(A,C))),B))). [ur(23,b,7904,a)].
% 1.45/1.75 7921 $F # answer(prove_this). [resolve(7920,a,712,a)].
% 1.45/1.75
% 1.45/1.75 % SZS output end Refutation
% 1.45/1.75 ============================== end of proof ==========================
% 1.45/1.75
% 1.45/1.75 ============================== STATISTICS ============================
% 1.45/1.75
% 1.45/1.75 Given=2227. Generated=18744. Kept=7912. proofs=1.
% 1.45/1.75 Usable=1702. Sos=4422. Demods=0. Limbo=1, Disabled=1810. Hints=0.
% 1.45/1.75 Megabytes=6.45.
% 1.45/1.75 User_CPU=0.88, System_CPU=0.02, Wall_clock=0.
% 1.45/1.75
% 1.45/1.75 ============================== end of statistics =====================
% 1.45/1.75
% 1.45/1.75 ============================== end of search =========================
% 1.45/1.75
% 1.45/1.75 THEOREM PROVED
% 1.45/1.75 % SZS status Unsatisfiable
% 1.45/1.75
% 1.45/1.75 Exiting with 1 proof.
% 1.45/1.75
% 1.45/1.75 Process 24335 exit (max_proofs) Sun Jul 3 04:07:11 2022
% 1.45/1.75 Prover9 interrupted
%------------------------------------------------------------------------------