TSTP Solution File: LCL182-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL182-3 : TPTP v8.1.0. Released 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 13:44:39 EDT 2022
% Result : Unsatisfiable 1.26s 1.55s
% Output : Refutation 1.26s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL182-3 : TPTP v8.1.0. Released v2.3.0.
% 0.10/0.12 % 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 09:29:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.26/1.55 ============================== Prover9 ===============================
% 1.26/1.55 Prover9 (32) version 2009-11A, November 2009.
% 1.26/1.55 Process 31890 was started by sandbox2 on n008.cluster.edu,
% 1.26/1.55 Mon Jul 4 09:29:39 2022
% 1.26/1.55 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_31737_n008.cluster.edu".
% 1.26/1.55 ============================== end of head ===========================
% 1.26/1.55
% 1.26/1.55 ============================== INPUT =================================
% 1.26/1.55
% 1.26/1.55 % Reading from file /tmp/Prover9_31737_n008.cluster.edu
% 1.26/1.55
% 1.26/1.55 set(prolog_style_variables).
% 1.26/1.55 set(auto2).
% 1.26/1.55 % set(auto2) -> set(auto).
% 1.26/1.55 % set(auto) -> set(auto_inference).
% 1.26/1.55 % set(auto) -> set(auto_setup).
% 1.26/1.55 % set(auto_setup) -> set(predicate_elim).
% 1.26/1.55 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.26/1.55 % set(auto) -> set(auto_limits).
% 1.26/1.55 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.26/1.55 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.26/1.55 % set(auto) -> set(auto_denials).
% 1.26/1.55 % set(auto) -> set(auto_process).
% 1.26/1.55 % set(auto2) -> assign(new_constants, 1).
% 1.26/1.55 % set(auto2) -> assign(fold_denial_max, 3).
% 1.26/1.55 % set(auto2) -> assign(max_weight, "200.000").
% 1.26/1.55 % set(auto2) -> assign(max_hours, 1).
% 1.26/1.55 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.26/1.55 % set(auto2) -> assign(max_seconds, 0).
% 1.26/1.55 % set(auto2) -> assign(max_minutes, 5).
% 1.26/1.55 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.26/1.55 % set(auto2) -> set(sort_initial_sos).
% 1.26/1.55 % set(auto2) -> assign(sos_limit, -1).
% 1.26/1.55 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.26/1.55 % set(auto2) -> assign(max_megs, 400).
% 1.26/1.55 % set(auto2) -> assign(stats, some).
% 1.26/1.55 % set(auto2) -> clear(echo_input).
% 1.26/1.55 % set(auto2) -> set(quiet).
% 1.26/1.55 % set(auto2) -> clear(print_initial_clauses).
% 1.26/1.55 % set(auto2) -> clear(print_given).
% 1.26/1.55 assign(lrs_ticks,-1).
% 1.26/1.55 assign(sos_limit,10000).
% 1.26/1.55 assign(order,kbo).
% 1.26/1.55 set(lex_order_vars).
% 1.26/1.55 clear(print_given).
% 1.26/1.55
% 1.26/1.55 % formulas(sos). % not echoed (9 formulas)
% 1.26/1.55
% 1.26/1.55 ============================== end of input ==========================
% 1.26/1.55
% 1.26/1.55 % From the command line: assign(max_seconds, 300).
% 1.26/1.55
% 1.26/1.55 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.26/1.55
% 1.26/1.55 % Formulas that are not ordinary clauses:
% 1.26/1.55
% 1.26/1.55 ============================== end of process non-clausal formulas ===
% 1.26/1.55
% 1.26/1.55 ============================== PROCESS INITIAL CLAUSES ===============
% 1.26/1.55
% 1.26/1.55 ============================== PREDICATE ELIMINATION =================
% 1.26/1.55 1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom). [assumption].
% 1.26/1.55 2 axiom(implies(or(A,A),A)) # label(axiom_1_2) # label(axiom). [assumption].
% 1.26/1.55 3 axiom(implies(A,or(B,A))) # label(axiom_1_3) # label(axiom). [assumption].
% 1.26/1.55 4 axiom(implies(or(A,B),or(B,A))) # label(axiom_1_4) # label(axiom). [assumption].
% 1.26/1.55 5 axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom). [assumption].
% 1.26/1.55 6 axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) # label(axiom_1_6) # label(axiom). [assumption].
% 1.26/1.55 Derived: theorem(implies(or(A,A),A)). [resolve(1,b,2,a)].
% 1.26/1.55 Derived: theorem(implies(A,or(B,A))). [resolve(1,b,3,a)].
% 1.26/1.55 Derived: theorem(implies(or(A,B),or(B,A))). [resolve(1,b,4,a)].
% 1.26/1.55 Derived: theorem(implies(or(A,or(B,C)),or(B,or(A,C)))). [resolve(1,b,5,a)].
% 1.26/1.55 Derived: theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))). [resolve(1,b,6,a)].
% 1.26/1.55
% 1.26/1.55 ============================== end predicate elimination =============
% 1.26/1.55
% 1.26/1.55 Auto_denials:
% 1.26/1.55 % copying label prove_this to answer in negative clause
% 1.26/1.55
% 1.26/1.55 Term ordering decisions:
% 1.26/1.55
% 1.26/1.55 % Assigning unary symbol not kb_weight 0 and highest precedence (7).
% 1.26/1.55 Function symbol KB weights: p=1. q=1. or=1. implies=1. not=0.
% 1.26/1.55
% 1.26/1.55 ============================== end of process initial clauses ========
% 1.26/1.55
% 1.26/1.55 ============================== CLAUSES FOR SEARCH ====================
% 1.26/1.55
% 1.26/1.55 ============================== end of clauses for search =============
% 1.26/1.55
% 1.26/1.55 ============================== SEARCH ================================
% 1.26/1.55
% 1.26/1.55 % Starting search at 0.01 seconds.
% 1.26/1.55
% 1.26/1.55 Low Water (keep): wt=33.000, iters=3368
% 1.26/1.55
% 1.26/1.55 Low Water (keep): wt=31.000, iters=3382
% 1.26/1.55
% 1.26/1.55 Low Water (keep): wt=26.000, iters=3409
% 1.26/1.55
% 1.26/1.55 Low Water (keep): wt=24.000, iters=3350
% 1.26/1.55
% 1.26/1.55 Low Water (keep): wt=23.000, iters=3490
% 1.26/1.55
% 1.26/1.55 Low Water (keep): wt=20.000, iters=3357
% 1.26/1.55
% 1.26/1.55 ============================== PROOF =================================
% 1.26/1.55 % SZS status Unsatisfiable
% 1.26/1.55 % SZS output start Refutation
% 1.26/1.55
% 1.26/1.55 % Proof 1 at 0.60 (+ 0.01) seconds: prove_this.
% 1.26/1.55 % Length of proof is 26.
% 1.26/1.55 % Level of proof is 7.
% 1.26/1.55 % Maximum clause weight is 23.000.
% 1.26/1.55 % Given clauses 144.
% 1.26/1.55
% 1.26/1.55 1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom). [assumption].
% 1.26/1.55 3 axiom(implies(A,or(B,A))) # label(axiom_1_3) # label(axiom). [assumption].
% 1.26/1.55 4 axiom(implies(or(A,B),or(B,A))) # label(axiom_1_4) # label(axiom). [assumption].
% 1.26/1.55 5 axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom). [assumption].
% 1.26/1.55 6 axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) # label(axiom_1_6) # label(axiom). [assumption].
% 1.26/1.55 7 implies(A,B) = or(not(A),B) # label(implies_definition) # label(axiom). [assumption].
% 1.26/1.55 8 -theorem(implies(implies(p,q),implies(not(q),not(p)))) # label(prove_this) # label(negated_conjecture) # answer(prove_this). [assumption].
% 1.26/1.55 9 -theorem(or(not(or(not(p),q)),or(not(not(q)),not(p)))) # answer(prove_this). [copy(8),rewrite([7(3),7(9),7(11)])].
% 1.26/1.55 10 theorem(A) | -theorem(implies(B,A)) | -theorem(B) # label(rule_2) # label(axiom). [assumption].
% 1.26/1.55 11 theorem(A) | -theorem(or(not(B),A)) | -theorem(B). [copy(10),rewrite([7(2)])].
% 1.26/1.55 14 theorem(implies(A,or(B,A))). [resolve(1,b,3,a)].
% 1.26/1.55 15 theorem(or(not(A),or(B,A))). [copy(14),rewrite([7(2)])].
% 1.26/1.55 16 theorem(implies(or(A,B),or(B,A))). [resolve(1,b,4,a)].
% 1.26/1.55 17 theorem(or(not(or(A,B)),or(B,A))). [copy(16),rewrite([7(3)])].
% 1.26/1.55 18 theorem(implies(or(A,or(B,C)),or(B,or(A,C)))). [resolve(1,b,5,a)].
% 1.26/1.55 19 theorem(or(not(or(A,or(B,C))),or(B,or(A,C)))). [copy(18),rewrite([7(5)])].
% 1.26/1.55 20 theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))). [resolve(1,b,6,a)].
% 1.26/1.55 21 theorem(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))). [copy(20),rewrite([7(1),7(5),7(7)])].
% 1.26/1.55 32 -theorem(or(not(or(not(or(A,B)),or(B,A))),or(not(or(not(p),q)),or(not(not(q)),not(p))))) # answer(prove_this). [ur(11,a,9,a,c,17,a)].
% 1.26/1.55 38 theorem(or(A,or(not(B),B))). [hyper(11,b,19,a,c,15,a)].
% 1.26/1.55 43 theorem(or(not(or(A,B)),or(not(or(not(B),C)),or(A,C)))). [hyper(11,b,19,a,c,21,a)].
% 1.26/1.55 108 theorem(or(not(A),A)). [hyper(11,b,38,a,c,38,a)].
% 1.26/1.55 121 theorem(or(A,not(A))). [hyper(11,b,17,a,c,108,a)].
% 1.26/1.55 183 theorem(or(not(or(A,B)),or(A,not(not(B))))). [hyper(11,b,21,a,c,121,a)].
% 1.26/1.55 5290 -theorem(or(not(or(not(p),q)),or(not(p),not(not(q))))) # answer(prove_this). [ur(11,a,32,a,b,43,a)].
% 1.26/1.55 5291 $F # answer(prove_this). [resolve(5290,a,183,a)].
% 1.26/1.55
% 1.26/1.55 % SZS output end Refutation
% 1.26/1.55 ============================== end of proof ==========================
% 1.26/1.55
% 1.26/1.55 ============================== STATISTICS ============================
% 1.26/1.55
% 1.26/1.55 Given=144. Generated=7953. Kept=5277. proofs=1.
% 1.26/1.55 Usable=144. Sos=5053. Demods=1. Limbo=61, Disabled=32. Hints=0.
% 1.26/1.55 Megabytes=4.60.
% 1.26/1.55 User_CPU=0.60, System_CPU=0.01, Wall_clock=0.
% 1.26/1.55
% 1.26/1.55 ============================== end of statistics =====================
% 1.26/1.55
% 1.26/1.55 ============================== end of search =========================
% 1.26/1.55
% 1.26/1.55 THEOREM PROVED
% 1.26/1.55 % SZS status Unsatisfiable
% 1.26/1.55
% 1.26/1.55 Exiting with 1 proof.
% 1.26/1.55
% 1.26/1.55 Process 31890 exit (max_proofs) Mon Jul 4 09:29:39 2022
% 1.26/1.55 Prover9 interrupted
%------------------------------------------------------------------------------