TSTP Solution File: LCL191-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL191-1 : TPTP v8.1.0. Released v1.1.0.
% 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 13:44:45 EDT 2022
% Result : Unsatisfiable 5.63s 5.98s
% Output : Refutation 5.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL191-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n006.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 20:04:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.66/0.99 ============================== Prover9 ===============================
% 0.66/0.99 Prover9 (32) version 2009-11A, November 2009.
% 0.66/0.99 Process 23323 was started by sandbox on n006.cluster.edu,
% 0.66/0.99 Mon Jul 4 20:04:22 2022
% 0.66/0.99 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_23170_n006.cluster.edu".
% 0.66/0.99 ============================== end of head ===========================
% 0.66/0.99
% 0.66/0.99 ============================== INPUT =================================
% 0.66/0.99
% 0.66/0.99 % Reading from file /tmp/Prover9_23170_n006.cluster.edu
% 0.66/0.99
% 0.66/0.99 set(prolog_style_variables).
% 0.66/0.99 set(auto2).
% 0.66/0.99 % set(auto2) -> set(auto).
% 0.66/0.99 % set(auto) -> set(auto_inference).
% 0.66/0.99 % set(auto) -> set(auto_setup).
% 0.66/0.99 % set(auto_setup) -> set(predicate_elim).
% 0.66/0.99 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.66/0.99 % set(auto) -> set(auto_limits).
% 0.66/0.99 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.66/0.99 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.66/0.99 % set(auto) -> set(auto_denials).
% 0.66/0.99 % set(auto) -> set(auto_process).
% 0.66/0.99 % set(auto2) -> assign(new_constants, 1).
% 0.66/0.99 % set(auto2) -> assign(fold_denial_max, 3).
% 0.66/0.99 % set(auto2) -> assign(max_weight, "200.000").
% 0.66/0.99 % set(auto2) -> assign(max_hours, 1).
% 0.66/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.66/0.99 % set(auto2) -> assign(max_seconds, 0).
% 0.66/0.99 % set(auto2) -> assign(max_minutes, 5).
% 0.66/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.66/0.99 % set(auto2) -> set(sort_initial_sos).
% 0.66/0.99 % set(auto2) -> assign(sos_limit, -1).
% 0.66/0.99 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.66/0.99 % set(auto2) -> assign(max_megs, 400).
% 0.66/0.99 % set(auto2) -> assign(stats, some).
% 0.66/0.99 % set(auto2) -> clear(echo_input).
% 0.66/0.99 % set(auto2) -> set(quiet).
% 0.66/0.99 % set(auto2) -> clear(print_initial_clauses).
% 0.66/0.99 % set(auto2) -> clear(print_given).
% 0.66/0.99 assign(lrs_ticks,-1).
% 0.66/0.99 assign(sos_limit,10000).
% 0.66/0.99 assign(order,kbo).
% 0.66/0.99 set(lex_order_vars).
% 0.66/0.99 clear(print_given).
% 0.66/0.99
% 0.66/0.99 % formulas(sos). % not echoed (9 formulas)
% 0.66/0.99
% 0.66/0.99 ============================== end of input ==========================
% 0.66/0.99
% 0.66/0.99 % From the command line: assign(max_seconds, 300).
% 0.66/0.99
% 0.66/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.66/0.99
% 0.66/0.99 % Formulas that are not ordinary clauses:
% 0.66/0.99
% 0.66/0.99 ============================== end of process non-clausal formulas ===
% 0.66/0.99
% 0.66/0.99 ============================== PROCESS INITIAL CLAUSES ===============
% 0.66/0.99
% 0.66/0.99 ============================== PREDICATE ELIMINATION =================
% 0.66/0.99 1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom). [assumption].
% 0.66/0.99 2 axiom(or(not(or(A,A)),A)) # label(axiom_1_2) # label(axiom). [assumption].
% 0.66/0.99 3 axiom(or(not(A),or(B,A))) # label(axiom_1_3) # label(axiom). [assumption].
% 0.66/0.99 4 axiom(or(not(or(A,B)),or(B,A))) # label(axiom_1_4) # label(axiom). [assumption].
% 0.66/0.99 5 axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom). [assumption].
% 0.66/0.99 6 axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) # label(axiom_1_6) # label(axiom). [assumption].
% 0.66/0.99 Derived: theorem(or(not(or(A,A)),A)). [resolve(1,b,2,a)].
% 0.66/0.99 Derived: theorem(or(not(A),or(B,A))). [resolve(1,b,3,a)].
% 0.66/0.99 Derived: theorem(or(not(or(A,B)),or(B,A))). [resolve(1,b,4,a)].
% 0.66/0.99 Derived: theorem(or(not(or(A,or(B,C))),or(B,or(A,C)))). [resolve(1,b,5,a)].
% 0.66/0.99 Derived: theorem(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))). [resolve(1,b,6,a)].
% 0.66/0.99 7 theorem(A) | -axiom(or(not(B),A)) | -theorem(B) # label(rule_2) # label(axiom). [assumption].
% 0.66/0.99 Derived: theorem(A) | -theorem(or(A,A)). [resolve(7,b,2,a)].
% 0.66/0.99 Derived: theorem(or(A,B)) | -theorem(B). [resolve(7,b,3,a)].
% 0.66/0.99 Derived: theorem(or(A,B)) | -theorem(or(B,A)). [resolve(7,b,4,a)].
% 0.66/0.99 Derived: theorem(or(A,or(B,C))) | -theorem(or(B,or(A,C))). [resolve(7,b,5,a)].
% 0.66/0.99 Derived: theorem(or(not(or(A,B)),or(A,C))) | -theorem(or(not(B),C)). [resolve(7,b,6,a)].
% 0.66/0.99 8 theorem(or(not(A),B)) | -axiom(or(not(A),C)) | -theorem(or(not(C),B)) # label(rule_3) # label(axiom). [assumption].
% 0.66/0.99 Derived: theorem(or(not(or(A,A)),B)) | -theorem(or(not(A),B)). [resolve(8,b,2,a)].
% 0.66/0.99 Derived: theorem(or(not(A),B)) | -theorem(or(not(or(C,A)),B)). [resolve(8,b,3,a)].
% 0.66/0.99 Derived: theorem(or(not(or(A,B)),C)) | -theorem(or(not(or(B,A)),C)). [resolve(8,b,4,a)].
% 0.66/0.99 Derived: theorem(or(not(or(A,or(B,C))),D)) | -theorem(or(not(or(B,or(A,C))),D)). [resolve(8,b,5,a)].
% 5.63/5.98 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)].
% 5.63/5.98
% 5.63/5.98 ============================== end predicate elimination =============
% 5.63/5.98
% 5.63/5.98 Auto_denials:
% 5.63/5.98 % copying label prove_this to answer in negative clause
% 5.63/5.98
% 5.63/5.98 Term ordering decisions:
% 5.63/5.98
% 5.63/5.98 % Assigning unary symbol not kb_weight 0 and highest precedence (6).
% 5.63/5.98 Function symbol KB weights: p=1. q=1. r=1. or=1. not=0.
% 5.63/5.98
% 5.63/5.98 ============================== end of process initial clauses ========
% 5.63/5.98
% 5.63/5.98 ============================== CLAUSES FOR SEARCH ====================
% 5.63/5.98
% 5.63/5.98 ============================== end of clauses for search =============
% 5.63/5.98
% 5.63/5.98 ============================== SEARCH ================================
% 5.63/5.98
% 5.63/5.98 % Starting search at 0.01 seconds.
% 5.63/5.98
% 5.63/5.98 Low Water (keep): wt=39.000, iters=3443
% 5.63/5.98
% 5.63/5.98 Low Water (keep): wt=31.000, iters=3386
% 5.63/5.98
% 5.63/5.98 Low Water (keep): wt=28.000, iters=3350
% 5.63/5.98
% 5.63/5.98 Low Water (keep): wt=24.000, iters=3345
% 5.63/5.98
% 5.63/5.98 Low Water (keep): wt=23.000, iters=3335
% 5.63/5.98
% 5.63/5.98 Low Water (keep): wt=21.000, iters=3340
% 5.63/5.98
% 5.63/5.98 Low Water (keep): wt=20.000, iters=3375
% 5.63/5.98
% 5.63/5.98 Low Water (keep): wt=19.000, iters=3335
% 5.63/5.98
% 5.63/5.98 Low Water (keep): wt=18.000, iters=3363
% 5.63/5.98
% 5.63/5.98 Low Water (keep): wt=17.000, iters=3334
% 5.63/5.98
% 5.63/5.98 Low Water (keep): wt=16.000, iters=3348
% 5.63/5.98
% 5.63/5.98 Low Water (keep): wt=15.000, iters=3333
% 5.63/5.98
% 5.63/5.98 ============================== PROOF =================================
% 5.63/5.98 % SZS status Unsatisfiable
% 5.63/5.98 % SZS output start Refutation
% 5.63/5.98
% 5.63/5.98 % Proof 1 at 4.93 (+ 0.06) seconds: prove_this.
% 5.63/5.98 % Length of proof is 35.
% 5.63/5.98 % Level of proof is 10.
% 5.63/5.98 % Maximum clause weight is 30.000.
% 5.63/5.98 % Given clauses 9797.
% 5.63/5.98
% 5.63/5.98 1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom). [assumption].
% 5.63/5.98 2 axiom(or(not(or(A,A)),A)) # label(axiom_1_2) # label(axiom). [assumption].
% 5.63/5.98 3 axiom(or(not(A),or(B,A))) # label(axiom_1_3) # label(axiom). [assumption].
% 5.63/5.98 4 axiom(or(not(or(A,B)),or(B,A))) # label(axiom_1_4) # label(axiom). [assumption].
% 5.63/5.98 5 axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom). [assumption].
% 5.63/5.98 6 axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) # label(axiom_1_6) # label(axiom). [assumption].
% 5.63/5.98 7 theorem(A) | -axiom(or(not(B),A)) | -theorem(B) # label(rule_2) # label(axiom). [assumption].
% 5.63/5.98 8 theorem(or(not(A),B)) | -axiom(or(not(A),C)) | -theorem(or(not(C),B)) # label(rule_3) # label(axiom). [assumption].
% 5.63/5.98 9 -theorem(or(not(or(p,or(q,r))),or(or(p,q),r))) # label(prove_this) # label(negated_conjecture) # answer(prove_this). [assumption].
% 5.63/5.98 12 theorem(or(not(or(A,B)),or(B,A))). [resolve(1,b,4,a)].
% 5.63/5.98 15 theorem(A) | -theorem(or(A,A)). [resolve(7,b,2,a)].
% 5.63/5.98 16 theorem(or(A,B)) | -theorem(B). [resolve(7,b,3,a)].
% 5.63/5.98 17 theorem(or(A,B)) | -theorem(or(B,A)). [resolve(7,b,4,a)].
% 5.63/5.98 18 theorem(or(A,or(B,C))) | -theorem(or(B,or(A,C))). [resolve(7,b,5,a)].
% 5.63/5.98 19 theorem(or(not(or(A,B)),or(A,C))) | -theorem(or(not(B),C)). [resolve(7,b,6,a)].
% 5.63/5.98 21 theorem(or(not(A),B)) | -theorem(or(not(or(C,A)),B)). [resolve(8,b,3,a)].
% 5.63/5.98 22 theorem(or(not(or(A,B)),C)) | -theorem(or(not(or(B,A)),C)). [resolve(8,b,4,a)].
% 5.63/5.98 23 theorem(or(not(or(A,or(B,C))),D)) | -theorem(or(not(or(B,or(A,C))),D)). [resolve(8,b,5,a)].
% 5.63/5.98 56 theorem(or(not(A),or(A,B))). [ur(21,b,12,a)].
% 5.63/5.98 63 -theorem(or(not(or(q,or(p,r))),or(or(p,q),r))) # answer(prove_this). [resolve(23,a,9,a)].
% 5.63/5.98 114 theorem(or(not(or(A,B)),or(or(B,A),C))). [ur(22,b,56,a)].
% 5.63/5.98 660 theorem(or(not(A),or(or(A,B),C))). [ur(21,b,114,a)].
% 5.63/5.98 671 theorem(or(not(or(A,B)),or(A,or(or(B,C),D)))). [ur(19,b,660,a)].
% 5.63/5.98 776 -theorem(or(not(or(or(p,r),q)),or(or(p,q),r))) # answer(prove_this). [resolve(63,a,22,a)].
% 5.63/5.98 3550 theorem(or(A,or(not(or(A,B)),or(or(B,C),D)))). [ur(18,b,671,a)].
% 5.63/5.98 3626 -theorem(or(not(or(A,or(or(p,r),q))),or(or(p,q),r))) # answer(prove_this). [resolve(776,a,21,a)].
% 5.63/5.98 7858 theorem(or(or(not(or(A,B)),or(or(B,C),D)),A)). [ur(17,b,3550,a)].
% 5.63/5.98 11529 theorem(or(A,or(or(not(or(B,C)),or(or(C,D),E)),B))). [ur(16,b,7858,a)].
% 5.63/5.98 12104 -theorem(or(not(or(or(p,r),or(A,q))),or(or(p,q),r))) # answer(prove_this). [resolve(3626,a,23,a)].
% 5.63/5.98 12684 -theorem(or(not(or(or(A,q),or(p,r))),or(or(p,q),r))) # answer(prove_this). [resolve(12104,a,22,a)].
% 5.63/5.98 13652 -theorem(or(not(or(p,or(or(A,q),r))),or(or(p,q),r))) # answer(prove_this). [resolve(12684,a,23,a)].
% 5.63/5.98 14416 -theorem(or(not(or(or(or(A,q),r),p)),or(or(p,q),r))) # answer(prove_this). [resolve(13652,a,22,a)].
% 5.63/5.98 14768 -theorem(or(or(not(or(or(or(A,q),r),p)),or(or(p,q),r)),or(not(or(or(or(A,q),r),p)),or(or(p,q),r)))) # answer(prove_this). [resolve(14416,a,15,a)].
% 5.63/5.98 20671 theorem(or(or(not(or(A,B)),or(or(B,C),D)),or(E,A))). [ur(18,b,11529,a)].
% 5.63/5.98 20672 $F # answer(prove_this). [resolve(20671,a,14768,a)].
% 5.63/5.98
% 5.63/5.98 % SZS output end Refutation
% 5.63/5.98 ============================== end of proof ==========================
% 5.63/5.98
% 5.63/5.98 ============================== STATISTICS ============================
% 5.63/5.98
% 5.63/5.98 Given=9797. Generated=78437. Kept=20663. proofs=1.
% 5.63/5.98 Usable=9145. Sos=8990. Demods=0. Limbo=0, Disabled=2551. Hints=0.
% 5.63/5.98 Megabytes=16.83.
% 5.63/5.98 User_CPU=4.93, System_CPU=0.06, Wall_clock=5.
% 5.63/5.98
% 5.63/5.98 ============================== end of statistics =====================
% 5.63/5.98
% 5.63/5.98 ============================== end of search =========================
% 5.63/5.98
% 5.63/5.98 THEOREM PROVED
% 5.63/5.98 % SZS status Unsatisfiable
% 5.63/5.98
% 5.63/5.98 Exiting with 1 proof.
% 5.63/5.98
% 5.63/5.98 Process 23323 exit (max_proofs) Mon Jul 4 20:04:27 2022
% 5.63/5.98 Prover9 interrupted
%------------------------------------------------------------------------------