TSTP Solution File: LCL025-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL025-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n026.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 13:43:28 EDT 2022
% Result : Unsatisfiable 1.42s 1.70s
% Output : Refutation 1.42s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL025-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jul 2 17:12:20 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.42/1.70 ============================== Prover9 ===============================
% 1.42/1.70 Prover9 (32) version 2009-11A, November 2009.
% 1.42/1.70 Process 10537 was started by sandbox on n026.cluster.edu,
% 1.42/1.70 Sat Jul 2 17:12:21 2022
% 1.42/1.70 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_10384_n026.cluster.edu".
% 1.42/1.70 ============================== end of head ===========================
% 1.42/1.70
% 1.42/1.70 ============================== INPUT =================================
% 1.42/1.70
% 1.42/1.70 % Reading from file /tmp/Prover9_10384_n026.cluster.edu
% 1.42/1.70
% 1.42/1.70 set(prolog_style_variables).
% 1.42/1.70 set(auto2).
% 1.42/1.70 % set(auto2) -> set(auto).
% 1.42/1.70 % set(auto) -> set(auto_inference).
% 1.42/1.70 % set(auto) -> set(auto_setup).
% 1.42/1.70 % set(auto_setup) -> set(predicate_elim).
% 1.42/1.70 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.42/1.70 % set(auto) -> set(auto_limits).
% 1.42/1.70 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.42/1.70 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.42/1.70 % set(auto) -> set(auto_denials).
% 1.42/1.70 % set(auto) -> set(auto_process).
% 1.42/1.70 % set(auto2) -> assign(new_constants, 1).
% 1.42/1.70 % set(auto2) -> assign(fold_denial_max, 3).
% 1.42/1.70 % set(auto2) -> assign(max_weight, "200.000").
% 1.42/1.70 % set(auto2) -> assign(max_hours, 1).
% 1.42/1.70 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.42/1.70 % set(auto2) -> assign(max_seconds, 0).
% 1.42/1.70 % set(auto2) -> assign(max_minutes, 5).
% 1.42/1.70 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.42/1.70 % set(auto2) -> set(sort_initial_sos).
% 1.42/1.70 % set(auto2) -> assign(sos_limit, -1).
% 1.42/1.70 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.42/1.70 % set(auto2) -> assign(max_megs, 400).
% 1.42/1.70 % set(auto2) -> assign(stats, some).
% 1.42/1.70 % set(auto2) -> clear(echo_input).
% 1.42/1.70 % set(auto2) -> set(quiet).
% 1.42/1.70 % set(auto2) -> clear(print_initial_clauses).
% 1.42/1.70 % set(auto2) -> clear(print_given).
% 1.42/1.70 assign(lrs_ticks,-1).
% 1.42/1.70 assign(sos_limit,10000).
% 1.42/1.70 assign(order,kbo).
% 1.42/1.70 set(lex_order_vars).
% 1.42/1.70 clear(print_given).
% 1.42/1.70
% 1.42/1.70 % formulas(sos). % not echoed (5 formulas)
% 1.42/1.70
% 1.42/1.70 ============================== end of input ==========================
% 1.42/1.70
% 1.42/1.70 % From the command line: assign(max_seconds, 300).
% 1.42/1.70
% 1.42/1.70 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.42/1.70
% 1.42/1.70 % Formulas that are not ordinary clauses:
% 1.42/1.70
% 1.42/1.70 ============================== end of process non-clausal formulas ===
% 1.42/1.70
% 1.42/1.70 ============================== PROCESS INITIAL CLAUSES ===============
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% 1.42/1.70 ============================== PREDICATE ELIMINATION =================
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% 1.42/1.70 ============================== end predicate elimination =============
% 1.42/1.70
% 1.42/1.70 Auto_denials:
% 1.42/1.70 % copying label prove_c0_1 to answer in negative clause
% 1.42/1.70
% 1.42/1.70 Term ordering decisions:
% 1.42/1.70 Function symbol KB weights: falsehood=1. a=1. b=1. c=1. implies=1.
% 1.42/1.70
% 1.42/1.70 ============================== end of process initial clauses ========
% 1.42/1.70
% 1.42/1.70 ============================== CLAUSES FOR SEARCH ====================
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% 1.42/1.70 ============================== end of clauses for search =============
% 1.42/1.70
% 1.42/1.70 ============================== SEARCH ================================
% 1.42/1.70
% 1.42/1.70 % Starting search at 0.01 seconds.
% 1.42/1.70
% 1.42/1.70 Low Water (keep): wt=46.000, iters=3418
% 1.42/1.70
% 1.42/1.70 Low Water (keep): wt=44.000, iters=3416
% 1.42/1.70
% 1.42/1.70 Low Water (keep): wt=36.000, iters=3339
% 1.42/1.70
% 1.42/1.70 Low Water (keep): wt=32.000, iters=3340
% 1.42/1.70
% 1.42/1.70 Low Water (keep): wt=28.000, iters=3336
% 1.42/1.70
% 1.42/1.70 Low Water (keep): wt=26.000, iters=3348
% 1.42/1.70
% 1.42/1.70 Low Water (keep): wt=24.000, iters=3355
% 1.42/1.70
% 1.42/1.70 Low Water (keep): wt=22.000, iters=3395
% 1.42/1.70
% 1.42/1.70 Low Water (keep): wt=20.000, iters=3336
% 1.42/1.70
% 1.42/1.70 ============================== PROOF =================================
% 1.42/1.70 % SZS status Unsatisfiable
% 1.42/1.70 % SZS output start Refutation
% 1.42/1.70
% 1.42/1.70 % Proof 1 at 0.63 (+ 0.04) seconds: prove_c0_1.
% 1.42/1.70 % Length of proof is 17.
% 1.42/1.70 % Level of proof is 8.
% 1.42/1.70 % Maximum clause weight is 24.000.
% 1.42/1.70 % Given clauses 270.
% 1.42/1.70
% 1.42/1.70 1 is_a_theorem(implies(A,implies(B,A))) # label(c0_2) # label(axiom). [assumption].
% 1.42/1.70 3 is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))) # label(c0_6) # label(axiom). [assumption].
% 1.42/1.70 4 -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) # label(prove_c0_1) # label(negated_conjecture) # answer(prove_c0_1). [assumption].
% 1.42/1.70 5 -is_a_theorem(implies(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 1.42/1.70 6 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(A,B)),implies(implies(A,implies(B,C)),implies(A,C)))). [hyper(5,a,3,a,b,3,a)].
% 1.42/1.70 10 is_a_theorem(implies(A,implies(implies(B,implies(C,D)),implies(implies(B,C),implies(B,D))))). [hyper(5,a,1,a,b,3,a)].
% 1.42/1.70 12 is_a_theorem(implies(A,implies(B,implies(C,B)))). [hyper(5,a,1,a,b,1,a)].
% 1.42/1.70 31 is_a_theorem(implies(implies(A,implies(implies(B,A),C)),implies(A,C))). [hyper(5,a,6,a,b,12,a)].
% 1.42/1.70 33 is_a_theorem(implies(A,implies(B,implies(C,implies(D,C))))). [hyper(5,a,1,a,b,12,a)].
% 1.42/1.70 42 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(implies(implies(A,B),implies(A,C)),D)),implies(implies(A,implies(B,C)),D))). [hyper(5,a,6,a,b,10,a)].
% 1.42/1.70 69 is_a_theorem(implies(implies(A,implies(implies(B,implies(C,B)),D)),implies(A,D))). [hyper(5,a,6,a,b,33,a)].
% 1.42/1.70 170 is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))). [hyper(5,a,31,a,b,10,a)].
% 1.42/1.70 2473 is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))). [hyper(5,a,69,a,b,170,a)].
% 1.42/1.70 2505 is_a_theorem(implies(A,implies(implies(implies(B,C),D),implies(C,D)))). [hyper(5,a,1,a,b,2473,a)].
% 1.42/1.70 5421 is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))). [hyper(5,a,42,a,b,2505,a)].
% 1.42/1.70 8078 is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))). [hyper(5,a,5421,a,b,170,a)].
% 1.42/1.70 8079 $F # answer(prove_c0_1). [resolve(8078,a,4,a)].
% 1.42/1.70
% 1.42/1.70 % SZS output end Refutation
% 1.42/1.70 ============================== end of proof ==========================
% 1.42/1.70
% 1.42/1.70 ============================== STATISTICS ============================
% 1.42/1.70
% 1.42/1.70 Given=270. Generated=45485. Kept=8078. proofs=1.
% 1.42/1.70 Usable=262. Sos=7177. Demods=0. Limbo=76, Disabled=567. Hints=0.
% 1.42/1.70 Megabytes=7.08.
% 1.42/1.70 User_CPU=0.63, System_CPU=0.04, Wall_clock=0.
% 1.42/1.70
% 1.42/1.70 ============================== end of statistics =====================
% 1.42/1.70
% 1.42/1.70 ============================== end of search =========================
% 1.42/1.70
% 1.42/1.70 THEOREM PROVED
% 1.42/1.70 % SZS status Unsatisfiable
% 1.42/1.70
% 1.42/1.70 Exiting with 1 proof.
% 1.42/1.70
% 1.42/1.70 Process 10537 exit (max_proofs) Sat Jul 2 17:12:21 2022
% 1.42/1.70 Prover9 interrupted
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