TSTP Solution File: LCL234-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL234-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n008.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 13:45:16 EDT 2022
% Result : Unsatisfiable 1.21s 1.48s
% Output : Refutation 1.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL234-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 4 04:25:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.66/0.98 ============================== Prover9 ===============================
% 0.66/0.98 Prover9 (32) version 2009-11A, November 2009.
% 0.66/0.98 Process 19686 was started by sandbox on n008.cluster.edu,
% 0.66/0.98 Mon Jul 4 04:25:23 2022
% 0.66/0.98 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_19533_n008.cluster.edu".
% 0.66/0.98 ============================== end of head ===========================
% 0.66/0.98
% 0.66/0.98 ============================== INPUT =================================
% 0.66/0.98
% 0.66/0.98 % Reading from file /tmp/Prover9_19533_n008.cluster.edu
% 0.66/0.98
% 0.66/0.98 set(prolog_style_variables).
% 0.66/0.98 set(auto2).
% 0.66/0.98 % set(auto2) -> set(auto).
% 0.66/0.98 % set(auto) -> set(auto_inference).
% 0.66/0.98 % set(auto) -> set(auto_setup).
% 0.66/0.98 % set(auto_setup) -> set(predicate_elim).
% 0.66/0.98 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.66/0.98 % set(auto) -> set(auto_limits).
% 0.66/0.98 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.66/0.98 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.66/0.98 % set(auto) -> set(auto_denials).
% 0.66/0.98 % set(auto) -> set(auto_process).
% 0.66/0.98 % set(auto2) -> assign(new_constants, 1).
% 0.66/0.98 % set(auto2) -> assign(fold_denial_max, 3).
% 0.66/0.98 % set(auto2) -> assign(max_weight, "200.000").
% 0.66/0.98 % set(auto2) -> assign(max_hours, 1).
% 0.66/0.98 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.66/0.98 % set(auto2) -> assign(max_seconds, 0).
% 0.66/0.98 % set(auto2) -> assign(max_minutes, 5).
% 0.66/0.98 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.66/0.98 % set(auto2) -> set(sort_initial_sos).
% 0.66/0.98 % set(auto2) -> assign(sos_limit, -1).
% 0.66/0.98 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.66/0.98 % set(auto2) -> assign(max_megs, 400).
% 0.66/0.98 % set(auto2) -> assign(stats, some).
% 0.66/0.98 % set(auto2) -> clear(echo_input).
% 0.66/0.98 % set(auto2) -> set(quiet).
% 0.66/0.98 % set(auto2) -> clear(print_initial_clauses).
% 0.66/0.98 % set(auto2) -> clear(print_given).
% 0.66/0.98 assign(lrs_ticks,-1).
% 0.66/0.98 assign(sos_limit,10000).
% 0.66/0.98 assign(order,kbo).
% 0.66/0.98 set(lex_order_vars).
% 0.66/0.98 clear(print_given).
% 0.66/0.98
% 0.66/0.98 % formulas(sos). % not echoed (9 formulas)
% 0.66/0.98
% 0.66/0.98 ============================== end of input ==========================
% 0.66/0.98
% 0.66/0.98 % From the command line: assign(max_seconds, 300).
% 0.66/0.98
% 0.66/0.98 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.66/0.98
% 0.66/0.98 % Formulas that are not ordinary clauses:
% 0.66/0.98
% 0.66/0.98 ============================== end of process non-clausal formulas ===
% 0.66/0.98
% 0.66/0.98 ============================== PROCESS INITIAL CLAUSES ===============
% 0.66/0.98
% 0.66/0.98 ============================== PREDICATE ELIMINATION =================
% 0.66/0.98 1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom). [assumption].
% 0.66/0.98 2 axiom(or(not(or(A,A)),A)) # label(axiom_1_2) # label(axiom). [assumption].
% 0.66/0.98 3 axiom(or(not(A),or(B,A))) # label(axiom_1_3) # label(axiom). [assumption].
% 0.66/0.98 4 axiom(or(not(or(A,B)),or(B,A))) # label(axiom_1_4) # label(axiom). [assumption].
% 0.66/0.98 5 axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom). [assumption].
% 0.66/0.98 6 axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) # label(axiom_1_6) # label(axiom). [assumption].
% 0.66/0.98 Derived: theorem(or(not(or(A,A)),A)). [resolve(1,b,2,a)].
% 0.66/0.98 Derived: theorem(or(not(A),or(B,A))). [resolve(1,b,3,a)].
% 0.66/0.98 Derived: theorem(or(not(or(A,B)),or(B,A))). [resolve(1,b,4,a)].
% 0.66/0.98 Derived: theorem(or(not(or(A,or(B,C))),or(B,or(A,C)))). [resolve(1,b,5,a)].
% 0.66/0.98 Derived: theorem(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))). [resolve(1,b,6,a)].
% 0.66/0.98 7 theorem(A) | -axiom(or(not(B),A)) | -theorem(B) # label(rule_2) # label(axiom). [assumption].
% 0.66/0.98 Derived: theorem(A) | -theorem(or(A,A)). [resolve(7,b,2,a)].
% 0.66/0.98 Derived: theorem(or(A,B)) | -theorem(B). [resolve(7,b,3,a)].
% 0.66/0.98 Derived: theorem(or(A,B)) | -theorem(or(B,A)). [resolve(7,b,4,a)].
% 0.66/0.98 Derived: theorem(or(A,or(B,C))) | -theorem(or(B,or(A,C))). [resolve(7,b,5,a)].
% 0.66/0.98 Derived: theorem(or(not(or(A,B)),or(A,C))) | -theorem(or(not(B),C)). [resolve(7,b,6,a)].
% 0.66/0.98 8 theorem(or(not(A),B)) | -axiom(or(not(A),C)) | -theorem(or(not(C),B)) # label(rule_3) # label(axiom). [assumption].
% 0.66/0.98 Derived: theorem(or(not(or(A,A)),B)) | -theorem(or(not(A),B)). [resolve(8,b,2,a)].
% 0.66/0.98 Derived: theorem(or(not(A),B)) | -theorem(or(not(or(C,A)),B)). [resolve(8,b,3,a)].
% 0.66/0.98 Derived: theorem(or(not(or(A,B)),C)) | -theorem(or(not(or(B,A)),C)). [resolve(8,b,4,a)].
% 0.66/0.98 Derived: theorem(or(not(or(A,or(B,C))),D)) | -theorem(or(not(or(B,or(A,C))),D)). [resolve(8,b,5,a)].
% 1.21/1.48 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)].
% 1.21/1.48
% 1.21/1.48 ============================== end predicate elimination =============
% 1.21/1.48
% 1.21/1.48 Auto_denials:
% 1.21/1.48 % copying label prove_this to answer in negative clause
% 1.21/1.48
% 1.21/1.48 Term ordering decisions:
% 1.21/1.48
% 1.21/1.48 % Assigning unary symbol not kb_weight 0 and highest precedence (5).
% 1.21/1.48 Function symbol KB weights: p=1. q=1. or=1. not=0.
% 1.21/1.48
% 1.21/1.48 ============================== end of process initial clauses ========
% 1.21/1.48
% 1.21/1.48 ============================== CLAUSES FOR SEARCH ====================
% 1.21/1.48
% 1.21/1.48 ============================== end of clauses for search =============
% 1.21/1.48
% 1.21/1.48 ============================== SEARCH ================================
% 1.21/1.48
% 1.21/1.48 % Starting search at 0.01 seconds.
% 1.21/1.48
% 1.21/1.48 ============================== PROOF =================================
% 1.21/1.48 % SZS status Unsatisfiable
% 1.21/1.48 % SZS output start Refutation
% 1.21/1.48
% 1.21/1.48 % Proof 1 at 0.50 (+ 0.02) seconds: prove_this.
% 1.21/1.48 % Length of proof is 25.
% 1.21/1.48 % Level of proof is 7.
% 1.21/1.48 % Maximum clause weight is 26.000.
% 1.21/1.48 % Given clauses 1464.
% 1.21/1.48
% 1.21/1.48 1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom). [assumption].
% 1.21/1.48 2 axiom(or(not(or(A,A)),A)) # label(axiom_1_2) # label(axiom). [assumption].
% 1.21/1.48 3 axiom(or(not(A),or(B,A))) # label(axiom_1_3) # label(axiom). [assumption].
% 1.21/1.48 4 axiom(or(not(or(A,B)),or(B,A))) # label(axiom_1_4) # label(axiom). [assumption].
% 1.21/1.48 5 axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom). [assumption].
% 1.21/1.48 6 axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) # label(axiom_1_6) # label(axiom). [assumption].
% 1.21/1.48 7 theorem(A) | -axiom(or(not(B),A)) | -theorem(B) # label(rule_2) # label(axiom). [assumption].
% 1.21/1.48 8 theorem(or(not(A),B)) | -axiom(or(not(A),C)) | -theorem(or(not(C),B)) # label(rule_3) # label(axiom). [assumption].
% 1.21/1.48 9 -theorem(or(not(p),or(not(q),not(or(not(p),not(q)))))) # label(prove_this) # label(negated_conjecture) # answer(prove_this). [assumption].
% 1.21/1.48 12 theorem(or(not(or(A,B)),or(B,A))). [resolve(1,b,4,a)].
% 1.21/1.48 15 theorem(A) | -theorem(or(A,A)). [resolve(7,b,2,a)].
% 1.21/1.48 16 theorem(or(A,B)) | -theorem(B). [resolve(7,b,3,a)].
% 1.21/1.48 17 theorem(or(A,B)) | -theorem(or(B,A)). [resolve(7,b,4,a)].
% 1.21/1.48 18 theorem(or(A,or(B,C))) | -theorem(or(B,or(A,C))). [resolve(7,b,5,a)].
% 1.21/1.48 19 theorem(or(not(or(A,B)),or(A,C))) | -theorem(or(not(B),C)). [resolve(7,b,6,a)].
% 1.21/1.48 21 theorem(or(not(A),B)) | -theorem(or(not(or(C,A)),B)). [resolve(8,b,3,a)].
% 1.21/1.48 25 -theorem(or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(p),or(not(q),not(or(not(p),not(q))))))) # answer(prove_this). [resolve(15,a,9,a)].
% 1.21/1.48 56 theorem(or(not(A),or(A,B))). [ur(21,b,12,a)].
% 1.21/1.48 70 -theorem(or(not(p),or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(q),not(or(not(p),not(q))))))) # answer(prove_this). [resolve(25,a,18,a)].
% 1.21/1.48 124 theorem(or(not(or(A,B)),or(A,or(B,C)))). [ur(19,b,56,a)].
% 1.21/1.48 831 theorem(or(or(A,or(B,C)),not(or(A,B)))). [ur(17,b,124,a)].
% 1.21/1.48 1132 -theorem(or(or(not(p),or(not(q),not(or(not(p),not(q))))),or(not(q),not(or(not(p),not(q)))))) # answer(prove_this). [resolve(70,a,16,a)].
% 1.21/1.48 1750 theorem(or(A,or(or(B,or(C,D)),not(or(B,C))))). [ur(16,b,831,a)].
% 1.21/1.48 5135 theorem(or(or(A,or(B,C)),or(D,not(or(A,B))))). [ur(18,b,1750,a)].
% 1.21/1.48 5136 $F # answer(prove_this). [resolve(5135,a,1132,a)].
% 1.21/1.48
% 1.21/1.48 % SZS output end Refutation
% 1.21/1.48 ============================== end of proof ==========================
% 1.21/1.48
% 1.21/1.48 ============================== STATISTICS ============================
% 1.21/1.48
% 1.21/1.48 Given=1464. Generated=13072. Kept=5127. proofs=1.
% 1.21/1.48 Usable=1460. Sos=3247. Demods=0. Limbo=1, Disabled=442. Hints=0.
% 1.21/1.48 Megabytes=4.27.
% 1.21/1.48 User_CPU=0.50, System_CPU=0.02, Wall_clock=1.
% 1.21/1.48
% 1.21/1.48 ============================== end of statistics =====================
% 1.21/1.48
% 1.21/1.48 ============================== end of search =========================
% 1.21/1.48
% 1.21/1.48 THEOREM PROVED
% 1.21/1.48 % SZS status Unsatisfiable
% 1.21/1.48
% 1.21/1.48 Exiting with 1 proof.
% 1.21/1.48
% 1.21/1.48 Process 19686 exit (max_proofs) Mon Jul 4 04:25:24 2022
% 1.21/1.48 Prover9 interrupted
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