TSTP Solution File: LCL238-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL238-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n018.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 13:45:19 EDT 2022
% Result : Unsatisfiable 0.67s 0.94s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LCL238-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jul 5 00:18:36 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.67/0.94 ============================== Prover9 ===============================
% 0.67/0.94 Prover9 (32) version 2009-11A, November 2009.
% 0.67/0.94 Process 917 was started by sandbox on n018.cluster.edu,
% 0.67/0.94 Tue Jul 5 00:18:37 2022
% 0.67/0.94 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_751_n018.cluster.edu".
% 0.67/0.94 ============================== end of head ===========================
% 0.67/0.94
% 0.67/0.94 ============================== INPUT =================================
% 0.67/0.94
% 0.67/0.94 % Reading from file /tmp/Prover9_751_n018.cluster.edu
% 0.67/0.94
% 0.67/0.94 set(prolog_style_variables).
% 0.67/0.94 set(auto2).
% 0.67/0.94 % set(auto2) -> set(auto).
% 0.67/0.94 % set(auto) -> set(auto_inference).
% 0.67/0.94 % set(auto) -> set(auto_setup).
% 0.67/0.94 % set(auto_setup) -> set(predicate_elim).
% 0.67/0.94 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.67/0.94 % set(auto) -> set(auto_limits).
% 0.67/0.94 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.67/0.94 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.67/0.94 % set(auto) -> set(auto_denials).
% 0.67/0.94 % set(auto) -> set(auto_process).
% 0.67/0.94 % set(auto2) -> assign(new_constants, 1).
% 0.67/0.94 % set(auto2) -> assign(fold_denial_max, 3).
% 0.67/0.94 % set(auto2) -> assign(max_weight, "200.000").
% 0.67/0.94 % set(auto2) -> assign(max_hours, 1).
% 0.67/0.94 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.67/0.94 % set(auto2) -> assign(max_seconds, 0).
% 0.67/0.94 % set(auto2) -> assign(max_minutes, 5).
% 0.67/0.94 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.67/0.94 % set(auto2) -> set(sort_initial_sos).
% 0.67/0.94 % set(auto2) -> assign(sos_limit, -1).
% 0.67/0.94 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.67/0.94 % set(auto2) -> assign(max_megs, 400).
% 0.67/0.94 % set(auto2) -> assign(stats, some).
% 0.67/0.94 % set(auto2) -> clear(echo_input).
% 0.67/0.94 % set(auto2) -> set(quiet).
% 0.67/0.94 % set(auto2) -> clear(print_initial_clauses).
% 0.67/0.94 % set(auto2) -> clear(print_given).
% 0.67/0.94 assign(lrs_ticks,-1).
% 0.67/0.94 assign(sos_limit,10000).
% 0.67/0.94 assign(order,kbo).
% 0.67/0.94 set(lex_order_vars).
% 0.67/0.94 clear(print_given).
% 0.67/0.94
% 0.67/0.94 % formulas(sos). % not echoed (9 formulas)
% 0.67/0.94
% 0.67/0.94 ============================== end of input ==========================
% 0.67/0.94
% 0.67/0.94 % From the command line: assign(max_seconds, 300).
% 0.67/0.94
% 0.67/0.94 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.67/0.94
% 0.67/0.94 % Formulas that are not ordinary clauses:
% 0.67/0.94
% 0.67/0.94 ============================== end of process non-clausal formulas ===
% 0.67/0.94
% 0.67/0.94 ============================== PROCESS INITIAL CLAUSES ===============
% 0.67/0.94
% 0.67/0.94 ============================== PREDICATE ELIMINATION =================
% 0.67/0.94 1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom). [assumption].
% 0.67/0.94 2 axiom(or(not(or(A,A)),A)) # label(axiom_1_2) # label(axiom). [assumption].
% 0.67/0.94 3 axiom(or(not(A),or(B,A))) # label(axiom_1_3) # label(axiom). [assumption].
% 0.67/0.94 4 axiom(or(not(or(A,B)),or(B,A))) # label(axiom_1_4) # label(axiom). [assumption].
% 0.67/0.94 5 axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom). [assumption].
% 0.67/0.94 6 axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) # label(axiom_1_6) # label(axiom). [assumption].
% 0.67/0.94 Derived: theorem(or(not(or(A,A)),A)). [resolve(1,b,2,a)].
% 0.67/0.94 Derived: theorem(or(not(A),or(B,A))). [resolve(1,b,3,a)].
% 0.67/0.94 Derived: theorem(or(not(or(A,B)),or(B,A))). [resolve(1,b,4,a)].
% 0.67/0.94 Derived: theorem(or(not(or(A,or(B,C))),or(B,or(A,C)))). [resolve(1,b,5,a)].
% 0.67/0.94 Derived: theorem(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))). [resolve(1,b,6,a)].
% 0.67/0.94 7 theorem(A) | -axiom(or(not(B),A)) | -theorem(B) # label(rule_2) # label(axiom). [assumption].
% 0.67/0.94 Derived: theorem(A) | -theorem(or(A,A)). [resolve(7,b,2,a)].
% 0.67/0.94 Derived: theorem(or(A,B)) | -theorem(B). [resolve(7,b,3,a)].
% 0.67/0.94 Derived: theorem(or(A,B)) | -theorem(or(B,A)). [resolve(7,b,4,a)].
% 0.67/0.94 Derived: theorem(or(A,or(B,C))) | -theorem(or(B,or(A,C))). [resolve(7,b,5,a)].
% 0.67/0.94 Derived: theorem(or(not(or(A,B)),or(A,C))) | -theorem(or(not(B),C)). [resolve(7,b,6,a)].
% 0.67/0.94 8 theorem(or(not(A),B)) | -axiom(or(not(A),C)) | -theorem(or(not(C),B)) # label(rule_3) # label(axiom). [assumption].
% 0.67/0.94 Derived: theorem(or(not(or(A,A)),B)) | -theorem(or(not(A),B)). [resolve(8,b,2,a)].
% 0.67/0.94 Derived: theorem(or(not(A),B)) | -theorem(or(not(or(C,A)),B)). [resolve(8,b,3,a)].
% 0.67/0.94 Derived: theorem(or(not(or(A,B)),C)) | -theorem(or(not(or(B,A)),C)). [resolve(8,b,4,a)].
% 0.67/0.94 Derived: theorem(or(not(or(A,or(B,C))),D)) | -theorem(or(not(or(B,or(A,C))),D)). [resolve(8,b,5,a)].
% 0.67/0.94 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)].
% 0.67/0.94
% 0.67/0.94 ============================== end predicate elimination =============
% 0.67/0.94
% 0.67/0.94 Auto_denials:
% 0.67/0.94 % copying label prove_this to answer in negative clause
% 0.67/0.94
% 0.67/0.94 Term ordering decisions:
% 0.67/0.94
% 0.67/0.94 % Assigning unary symbol not kb_weight 0 and highest precedence (5).
% 0.67/0.94 Function symbol KB weights: p=1. q=1. or=1. not=0.
% 0.67/0.94
% 0.67/0.94 ============================== end of process initial clauses ========
% 0.67/0.94
% 0.67/0.94 ============================== CLAUSES FOR SEARCH ====================
% 0.67/0.94
% 0.67/0.94 ============================== end of clauses for search =============
% 0.67/0.94
% 0.67/0.94 ============================== SEARCH ================================
% 0.67/0.94
% 0.67/0.94 % Starting search at 0.01 seconds.
% 0.67/0.94
% 0.67/0.94 ============================== PROOF =================================
% 0.67/0.94 % SZS status Unsatisfiable
% 0.67/0.94 % SZS output start Refutation
% 0.67/0.94
% 0.67/0.94 % Proof 1 at 0.02 (+ 0.00) seconds: prove_this.
% 0.67/0.94 % Length of proof is 16.
% 0.67/0.94 % Level of proof is 5.
% 0.67/0.94 % Maximum clause weight is 15.000.
% 0.67/0.94 % Given clauses 23.
% 0.67/0.94
% 0.67/0.94 1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom). [assumption].
% 0.67/0.94 2 axiom(or(not(or(A,A)),A)) # label(axiom_1_2) # label(axiom). [assumption].
% 0.67/0.94 3 axiom(or(not(A),or(B,A))) # label(axiom_1_3) # label(axiom). [assumption].
% 0.67/0.94 4 axiom(or(not(or(A,B)),or(B,A))) # label(axiom_1_4) # label(axiom). [assumption].
% 0.67/0.94 7 theorem(A) | -axiom(or(not(B),A)) | -theorem(B) # label(rule_2) # label(axiom). [assumption].
% 0.67/0.94 8 theorem(or(not(A),B)) | -axiom(or(not(A),C)) | -theorem(or(not(C),B)) # label(rule_3) # label(axiom). [assumption].
% 0.67/0.94 9 -theorem(or(not(not(or(not(p),not(q)))),not(or(not(q),not(p))))) # label(prove_this) # label(negated_conjecture) # answer(prove_this). [assumption].
% 0.67/0.94 10 theorem(or(not(or(A,A)),A)). [resolve(1,b,2,a)].
% 0.67/0.94 17 theorem(or(A,B)) | -theorem(or(B,A)). [resolve(7,b,4,a)].
% 0.67/0.94 21 theorem(or(not(A),B)) | -theorem(or(not(or(C,A)),B)). [resolve(8,b,3,a)].
% 0.67/0.94 22 theorem(or(not(or(A,B)),C)) | -theorem(or(not(or(B,A)),C)). [resolve(8,b,4,a)].
% 0.67/0.94 32 -theorem(or(not(or(not(q),not(p))),not(not(or(not(p),not(q)))))) # answer(prove_this). [resolve(17,a,9,a)].
% 0.67/0.94 57 theorem(or(not(A),A)). [ur(21,b,10,a)].
% 0.67/0.94 86 theorem(or(A,not(A))). [ur(17,b,57,a)].
% 0.67/0.94 89 theorem(or(not(or(A,B)),not(not(or(B,A))))). [ur(22,b,86,a)].
% 0.67/0.94 90 $F # answer(prove_this). [resolve(89,a,32,a)].
% 0.67/0.94
% 0.67/0.94 % SZS output end Refutation
% 0.67/0.94 ============================== end of proof ==========================
% 0.67/0.94
% 0.67/0.94 ============================== STATISTICS ============================
% 0.67/0.94
% 0.67/0.94 Given=23. Generated=126. Kept=81. proofs=1.
% 0.67/0.94 Usable=23. Sos=54. Demods=0. Limbo=2, Disabled=25. Hints=0.
% 0.67/0.94 Megabytes=0.12.
% 0.67/0.94 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.67/0.94
% 0.67/0.94 ============================== end of statistics =====================
% 0.67/0.94
% 0.67/0.94 ============================== end of search =========================
% 0.67/0.94
% 0.67/0.94 THEOREM PROVED
% 0.67/0.94 % SZS status Unsatisfiable
% 0.67/0.94
% 0.67/0.94 Exiting with 1 proof.
% 0.67/0.94
% 0.67/0.94 Process 917 exit (max_proofs) Tue Jul 5 00:18:37 2022
% 0.67/0.94 Prover9 interrupted
%------------------------------------------------------------------------------