TSTP Solution File: LCL265-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL265-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n020.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 13:45:35 EDT 2022
% Result : Unsatisfiable 2.14s 2.45s
% Output : Refutation 2.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL265-3 : TPTP v8.1.0. Released v2.3.0.
% 0.10/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 05:44:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.26/1.52 ============================== Prover9 ===============================
% 1.26/1.52 Prover9 (32) version 2009-11A, November 2009.
% 1.26/1.52 Process 11282 was started by sandbox2 on n020.cluster.edu,
% 1.26/1.52 Sun Jul 3 05:44:15 2022
% 1.26/1.52 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_11129_n020.cluster.edu".
% 1.26/1.52 ============================== end of head ===========================
% 1.26/1.52
% 1.26/1.52 ============================== INPUT =================================
% 1.26/1.52
% 1.26/1.52 % Reading from file /tmp/Prover9_11129_n020.cluster.edu
% 1.26/1.52
% 1.26/1.52 set(prolog_style_variables).
% 1.26/1.52 set(auto2).
% 1.26/1.52 % set(auto2) -> set(auto).
% 1.26/1.52 % set(auto) -> set(auto_inference).
% 1.26/1.52 % set(auto) -> set(auto_setup).
% 1.26/1.52 % set(auto_setup) -> set(predicate_elim).
% 1.26/1.52 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.26/1.52 % set(auto) -> set(auto_limits).
% 1.26/1.52 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.26/1.52 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.26/1.52 % set(auto) -> set(auto_denials).
% 1.26/1.52 % set(auto) -> set(auto_process).
% 1.26/1.52 % set(auto2) -> assign(new_constants, 1).
% 1.26/1.52 % set(auto2) -> assign(fold_denial_max, 3).
% 1.26/1.52 % set(auto2) -> assign(max_weight, "200.000").
% 1.26/1.52 % set(auto2) -> assign(max_hours, 1).
% 1.26/1.52 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.26/1.52 % set(auto2) -> assign(max_seconds, 0).
% 1.26/1.52 % set(auto2) -> assign(max_minutes, 5).
% 1.26/1.52 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.26/1.52 % set(auto2) -> set(sort_initial_sos).
% 1.26/1.52 % set(auto2) -> assign(sos_limit, -1).
% 1.26/1.52 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.26/1.52 % set(auto2) -> assign(max_megs, 400).
% 1.26/1.52 % set(auto2) -> assign(stats, some).
% 1.26/1.52 % set(auto2) -> clear(echo_input).
% 1.26/1.52 % set(auto2) -> set(quiet).
% 1.26/1.52 % set(auto2) -> clear(print_initial_clauses).
% 1.26/1.52 % set(auto2) -> clear(print_given).
% 1.26/1.52 assign(lrs_ticks,-1).
% 1.26/1.52 assign(sos_limit,10000).
% 1.26/1.52 assign(order,kbo).
% 1.26/1.52 set(lex_order_vars).
% 1.26/1.52 clear(print_given).
% 1.26/1.52
% 1.26/1.52 % formulas(sos). % not echoed (11 formulas)
% 1.26/1.52
% 1.26/1.52 ============================== end of input ==========================
% 1.26/1.52
% 1.26/1.52 % From the command line: assign(max_seconds, 300).
% 1.26/1.52
% 1.26/1.52 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.26/1.52
% 1.26/1.52 % Formulas that are not ordinary clauses:
% 1.26/1.52
% 1.26/1.52 ============================== end of process non-clausal formulas ===
% 1.26/1.52
% 1.26/1.52 ============================== PROCESS INITIAL CLAUSES ===============
% 1.26/1.52
% 1.26/1.52 ============================== PREDICATE ELIMINATION =================
% 1.26/1.52 1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom). [assumption].
% 1.26/1.52 2 axiom(implies(or(A,A),A)) # label(axiom_1_2) # label(axiom). [assumption].
% 1.26/1.52 3 axiom(implies(A,or(B,A))) # label(axiom_1_3) # label(axiom). [assumption].
% 1.26/1.52 4 axiom(implies(or(A,B),or(B,A))) # label(axiom_1_4) # label(axiom). [assumption].
% 1.26/1.52 5 axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom). [assumption].
% 1.26/1.52 6 axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) # label(axiom_1_6) # label(axiom). [assumption].
% 1.26/1.52 Derived: theorem(implies(or(A,A),A)). [resolve(1,b,2,a)].
% 1.26/1.52 Derived: theorem(implies(A,or(B,A))). [resolve(1,b,3,a)].
% 1.26/1.52 Derived: theorem(implies(or(A,B),or(B,A))). [resolve(1,b,4,a)].
% 1.26/1.52 Derived: theorem(implies(or(A,or(B,C)),or(B,or(A,C)))). [resolve(1,b,5,a)].
% 1.26/1.52 Derived: theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))). [resolve(1,b,6,a)].
% 1.26/1.52
% 1.26/1.52 ============================== end predicate elimination =============
% 1.26/1.52
% 1.26/1.52 Auto_denials:
% 1.26/1.52 % copying label prove_this to answer in negative clause
% 1.26/1.52
% 1.26/1.52 Term ordering decisions:
% 1.26/1.52
% 1.26/1.52 % Assigning unary symbol not kb_weight 0 and highest precedence (8).
% 1.26/1.52 Function symbol KB weights: p=1. or=1. implies=1. and=1. equivalent=1. not=0.
% 1.26/1.52
% 1.26/1.52 ============================== end of process initial clauses ========
% 1.26/1.52
% 1.26/1.52 ============================== CLAUSES FOR SEARCH ====================
% 1.26/1.52
% 1.26/1.52 ============================== end of clauses for search =============
% 1.26/1.52
% 1.26/1.52 ============================== SEARCH ================================
% 1.26/1.52
% 1.26/1.52 % Starting search at 0.01 seconds.
% 1.26/1.52
% 1.26/1.52 Low Water (keep): wt=44.000, iters=3388
% 1.26/1.52
% 1.26/1.52 Low Water (keep): wt=41.000, iters=3390
% 1.26/1.52
% 1.26/1.52 Low Water (keep): wt=37.000, iters=3366
% 1.26/1.52
% 1.26/1.52 Low Water (keep): wt=35.000, iters=3372
% 1.26/1.52
% 1.26/1.52 Low Water (keep): wt=34.000, iters=3335
% 1.26/1.52
% 1.26/1.52 Low Water (keep): wt=30.000, iters=3369
% 2.14/2.45
% 2.14/2.45 Low Water (keep): wt=27.000, iters=3335
% 2.14/2.45
% 2.14/2.45 Low Water (keep): wt=26.000, iters=3354
% 2.14/2.45
% 2.14/2.45 Low Water (keep): wt=24.000, iters=3360
% 2.14/2.45
% 2.14/2.45 Low Water (keep): wt=22.000, iters=3418
% 2.14/2.45
% 2.14/2.45 ============================== PROOF =================================
% 2.14/2.45 % SZS status Unsatisfiable
% 2.14/2.45 % SZS output start Refutation
% 2.14/2.45
% 2.14/2.45 % Proof 1 at 1.43 (+ 0.02) seconds: prove_this.
% 2.14/2.45 % Length of proof is 33.
% 2.14/2.45 % Level of proof is 10.
% 2.14/2.45 % Maximum clause weight is 23.000.
% 2.14/2.45 % Given clauses 260.
% 2.14/2.45
% 2.14/2.45 1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom). [assumption].
% 2.14/2.45 3 axiom(implies(A,or(B,A))) # label(axiom_1_3) # label(axiom). [assumption].
% 2.14/2.45 4 axiom(implies(or(A,B),or(B,A))) # label(axiom_1_4) # label(axiom). [assumption].
% 2.14/2.45 5 axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom). [assumption].
% 2.14/2.45 6 axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) # label(axiom_1_6) # label(axiom). [assumption].
% 2.14/2.45 7 implies(A,B) = or(not(A),B) # label(implies_definition) # label(axiom). [assumption].
% 2.14/2.45 8 and(A,B) = not(or(not(A),not(B))) # label(and_defn) # label(axiom). [assumption].
% 2.14/2.45 9 equivalent(A,B) = and(implies(A,B),implies(B,A)) # label(equivalent_defn) # label(axiom). [assumption].
% 2.14/2.45 10 equivalent(A,B) = not(or(not(or(not(A),B)),not(or(not(B),A)))). [copy(9),rewrite([7(2),7(4),8(6)])].
% 2.14/2.45 11 -theorem(equivalent(p,not(not(p)))) # label(prove_this) # label(negated_conjecture) # answer(prove_this). [assumption].
% 2.14/2.45 12 -theorem(not(or(not(or(not(p),not(not(p)))),not(or(not(not(not(p))),p))))) # answer(prove_this). [copy(11),rewrite([10(5)])].
% 2.14/2.45 13 theorem(A) | -theorem(implies(B,A)) | -theorem(B) # label(rule_2) # label(axiom). [assumption].
% 2.14/2.45 14 theorem(A) | -theorem(or(not(B),A)) | -theorem(B). [copy(13),rewrite([7(2)])].
% 2.14/2.45 17 theorem(implies(A,or(B,A))). [resolve(1,b,3,a)].
% 2.14/2.45 18 theorem(or(not(A),or(B,A))). [copy(17),rewrite([7(2)])].
% 2.14/2.45 19 theorem(implies(or(A,B),or(B,A))). [resolve(1,b,4,a)].
% 2.14/2.45 20 theorem(or(not(or(A,B)),or(B,A))). [copy(19),rewrite([7(3)])].
% 2.14/2.45 21 theorem(implies(or(A,or(B,C)),or(B,or(A,C)))). [resolve(1,b,5,a)].
% 2.14/2.45 22 theorem(or(not(or(A,or(B,C))),or(B,or(A,C)))). [copy(21),rewrite([7(5)])].
% 2.14/2.45 23 theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))). [resolve(1,b,6,a)].
% 2.14/2.45 24 theorem(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))). [copy(23),rewrite([7(1),7(5),7(7)])].
% 2.14/2.45 38 theorem(or(A,or(not(or(B,A)),B))). [hyper(14,b,22,a,c,20,a)].
% 2.14/2.45 39 theorem(or(A,or(not(B),B))). [hyper(14,b,22,a,c,18,a)].
% 2.14/2.45 47 theorem(or(not(or(A,or(B,C))),or(A,or(C,B)))). [hyper(14,b,24,a,c,20,a)].
% 2.14/2.45 106 theorem(or(not(A),A)). [hyper(14,b,39,a,c,39,a)].
% 2.14/2.45 119 theorem(or(A,not(A))). [hyper(14,b,20,a,c,106,a)].
% 2.14/2.45 178 theorem(or(not(or(A,B)),or(A,not(not(B))))). [hyper(14,b,24,a,c,119,a)].
% 2.14/2.45 199 -theorem(or(not(or(A,not(A))),not(or(not(or(not(p),not(not(p)))),not(or(not(not(not(p))),p)))))) # answer(prove_this). [ur(14,a,12,a,c,119,a)].
% 2.14/2.45 5502 theorem(or(A,or(B,not(or(B,A))))). [hyper(14,b,47,a,c,38,a)].
% 2.14/2.45 9469 theorem(or(A,not(not(not(A))))). [hyper(14,b,178,a,c,119,a)].
% 2.14/2.45 9650 theorem(or(not(not(not(A))),A)). [hyper(14,b,20,a,c,9469,a)].
% 2.14/2.45 9791 theorem(or(A,not(or(A,not(or(not(not(not(B))),B)))))). [hyper(14,b,5502,a,c,9650,a)].
% 2.14/2.45 9792 $F # answer(prove_this). [resolve(9791,a,199,a)].
% 2.14/2.45
% 2.14/2.45 % SZS output end Refutation
% 2.14/2.45 ============================== end of proof ==========================
% 2.14/2.45
% 2.14/2.45 ============================== STATISTICS ============================
% 2.14/2.45
% 2.14/2.45 Given=260. Generated=24715. Kept=9777. proofs=1.
% 2.14/2.45 Usable=260. Sos=9472. Demods=3. Limbo=6, Disabled=54. Hints=0.
% 2.14/2.45 Megabytes=8.69.
% 2.14/2.45 User_CPU=1.43, System_CPU=0.02, Wall_clock=2.
% 2.14/2.45
% 2.14/2.45 ============================== end of statistics =====================
% 2.14/2.45
% 2.14/2.45 ============================== end of search =========================
% 2.14/2.45
% 2.14/2.45 THEOREM PROVED
% 2.14/2.45 % SZS status Unsatisfiable
% 2.14/2.45
% 2.14/2.45 Exiting with 1 proof.
% 2.14/2.45
% 2.14/2.45 Process 11282 exit (max_proofs) Sun Jul 3 05:44:17 2022
% 2.14/2.45 Prover9 interrupted
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