TSTP Solution File: LCL091-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL091-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.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 13:43:56 EDT 2022
% Result : Unsatisfiable 0.72s 1.05s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL091-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n028.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 : Sat Jul 2 15:29:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/1.05 ============================== Prover9 ===============================
% 0.72/1.05 Prover9 (32) version 2009-11A, November 2009.
% 0.72/1.05 Process 5770 was started by sandbox on n028.cluster.edu,
% 0.72/1.05 Sat Jul 2 15:29:18 2022
% 0.72/1.05 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_5616_n028.cluster.edu".
% 0.72/1.05 ============================== end of head ===========================
% 0.72/1.05
% 0.72/1.05 ============================== INPUT =================================
% 0.72/1.05
% 0.72/1.05 % Reading from file /tmp/Prover9_5616_n028.cluster.edu
% 0.72/1.05
% 0.72/1.05 set(prolog_style_variables).
% 0.72/1.05 set(auto2).
% 0.72/1.05 % set(auto2) -> set(auto).
% 0.72/1.05 % set(auto) -> set(auto_inference).
% 0.72/1.05 % set(auto) -> set(auto_setup).
% 0.72/1.05 % set(auto_setup) -> set(predicate_elim).
% 0.72/1.05 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.72/1.05 % set(auto) -> set(auto_limits).
% 0.72/1.05 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.72/1.05 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.72/1.05 % set(auto) -> set(auto_denials).
% 0.72/1.05 % set(auto) -> set(auto_process).
% 0.72/1.05 % set(auto2) -> assign(new_constants, 1).
% 0.72/1.05 % set(auto2) -> assign(fold_denial_max, 3).
% 0.72/1.05 % set(auto2) -> assign(max_weight, "200.000").
% 0.72/1.05 % set(auto2) -> assign(max_hours, 1).
% 0.72/1.05 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.72/1.05 % set(auto2) -> assign(max_seconds, 0).
% 0.72/1.05 % set(auto2) -> assign(max_minutes, 5).
% 0.72/1.05 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.72/1.05 % set(auto2) -> set(sort_initial_sos).
% 0.72/1.05 % set(auto2) -> assign(sos_limit, -1).
% 0.72/1.05 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.72/1.05 % set(auto2) -> assign(max_megs, 400).
% 0.72/1.05 % set(auto2) -> assign(stats, some).
% 0.72/1.05 % set(auto2) -> clear(echo_input).
% 0.72/1.05 % set(auto2) -> set(quiet).
% 0.72/1.05 % set(auto2) -> clear(print_initial_clauses).
% 0.72/1.05 % set(auto2) -> clear(print_given).
% 0.72/1.05 assign(lrs_ticks,-1).
% 0.72/1.05 assign(sos_limit,10000).
% 0.72/1.05 assign(order,kbo).
% 0.72/1.05 set(lex_order_vars).
% 0.72/1.05 clear(print_given).
% 0.72/1.05
% 0.72/1.05 % formulas(sos). % not echoed (3 formulas)
% 0.72/1.05
% 0.72/1.05 ============================== end of input ==========================
% 0.72/1.05
% 0.72/1.05 % From the command line: assign(max_seconds, 300).
% 0.72/1.05
% 0.72/1.05 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.72/1.05
% 0.72/1.05 % Formulas that are not ordinary clauses:
% 0.72/1.05
% 0.72/1.05 ============================== end of process non-clausal formulas ===
% 0.72/1.05
% 0.72/1.05 ============================== PROCESS INITIAL CLAUSES ===============
% 0.72/1.05
% 0.72/1.05 ============================== PREDICATE ELIMINATION =================
% 0.72/1.05
% 0.72/1.05 ============================== end predicate elimination =============
% 0.72/1.05
% 0.72/1.05 Auto_denials:
% 0.72/1.05 % copying label prove_ic_2 to answer in negative clause
% 0.72/1.05
% 0.72/1.05 Term ordering decisions:
% 0.72/1.05 Function symbol KB weights: a=1. b=1. implies=1.
% 0.72/1.05
% 0.72/1.05 ============================== end of process initial clauses ========
% 0.72/1.05
% 0.72/1.05 ============================== CLAUSES FOR SEARCH ====================
% 0.72/1.05
% 0.72/1.05 ============================== end of clauses for search =============
% 0.72/1.05
% 0.72/1.05 ============================== SEARCH ================================
% 0.72/1.05
% 0.72/1.05 % Starting search at 0.01 seconds.
% 0.72/1.05
% 0.72/1.05 ============================== PROOF =================================
% 0.72/1.05 % SZS status Unsatisfiable
% 0.72/1.05 % SZS output start Refutation
% 0.72/1.05
% 0.72/1.05 % Proof 1 at 0.07 (+ 0.01) seconds: prove_ic_2.
% 0.72/1.05 % Length of proof is 23.
% 0.72/1.05 % Level of proof is 20.
% 0.72/1.05 % Maximum clause weight is 24.000.
% 0.72/1.05 % Given clauses 72.
% 0.72/1.05
% 0.72/1.05 1 is_a_theorem(implies(implies(implies(A,B),implies(C,D)),implies(implies(D,A),implies(E,implies(C,A))))) # label(ic_JLukasiewicz_5) # label(axiom). [assumption].
% 0.72/1.05 2 -is_a_theorem(implies(a,implies(b,a))) # label(prove_ic_2) # label(negated_conjecture) # answer(prove_ic_2). [assumption].
% 0.72/1.05 3 -is_a_theorem(implies(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 0.72/1.05 4 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(C,D)),implies(E,implies(implies(F,C),implies(C,D))))). [hyper(3,a,1,a,b,1,a)].
% 0.72/1.05 5 is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(implies(D,E),implies(E,C)))))). [hyper(3,a,4,a,b,4,a)].
% 0.72/1.05 7 is_a_theorem(implies(implies(A,B),implies(B,implies(implies(C,D),implies(D,B))))). [hyper(3,a,5,a,b,5,a)].
% 0.72/1.05 11 is_a_theorem(implies(implies(implies(implies(A,B),implies(B,C)),D),implies(E,implies(C,D)))). [hyper(3,a,1,a,b,7,a)].
% 0.72/1.05 18 is_a_theorem(implies(implies(implies(A,B),implies(implies(C,D),implies(D,A))),implies(E,implies(F,implies(implies(C,D),implies(D,A)))))). [hyper(3,a,1,a,b,11,a)].
% 0.72/1.05 58 is_a_theorem(implies(A,implies(B,implies(implies(C,D),implies(D,implies(D,D)))))). [hyper(3,a,18,a,b,1,a)].
% 0.72/1.05 105 is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(C,C))))). [hyper(3,a,58,a,b,58,a)].
% 0.72/1.05 109 is_a_theorem(implies(implies(A,B),implies(B,implies(B,B)))). [hyper(3,a,105,a,b,105,a)].
% 0.72/1.05 114 is_a_theorem(implies(implies(implies(A,A),B),implies(C,implies(A,B)))). [hyper(3,a,1,a,b,109,a)].
% 0.72/1.05 120 is_a_theorem(implies(implies(implies(A,B),implies(A,A)),implies(C,implies(D,implies(A,A))))). [hyper(3,a,1,a,b,114,a)].
% 0.72/1.05 379 is_a_theorem(implies(A,implies(B,implies(implies(C,C),implies(C,C))))). [hyper(3,a,120,a,b,114,a)].
% 0.72/1.05 385 is_a_theorem(implies(A,implies(implies(B,B),implies(B,B)))). [hyper(3,a,379,a,b,379,a)].
% 0.72/1.05 394 is_a_theorem(implies(implies(A,A),implies(A,A))). [hyper(3,a,385,a,b,385,a)].
% 0.72/1.05 397 is_a_theorem(implies(A,implies(B,implies(C,C)))). [hyper(3,a,120,a,b,394,a)].
% 0.72/1.05 408 is_a_theorem(implies(A,implies(B,B))). [hyper(3,a,397,a,b,397,a)].
% 0.72/1.05 417 is_a_theorem(implies(A,A)). [hyper(3,a,408,a,b,408,a)].
% 0.72/1.05 424 is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(D,C))))). [hyper(3,a,4,a,b,417,a)].
% 0.72/1.05 481 is_a_theorem(implies(implies(A,B),implies(B,implies(C,B)))). [hyper(3,a,424,a,b,424,a)].
% 0.72/1.05 489 is_a_theorem(implies(A,implies(B,A))). [hyper(3,a,481,a,b,417,a)].
% 0.72/1.05 490 $F # answer(prove_ic_2). [resolve(489,a,2,a)].
% 0.72/1.05
% 0.72/1.05 % SZS output end Refutation
% 0.72/1.05 ============================== end of proof ==========================
% 0.72/1.05
% 0.72/1.05 ============================== STATISTICS ============================
% 0.72/1.05
% 0.72/1.05 Given=72. Generated=3124. Kept=489. proofs=1.
% 0.72/1.05 Usable=35. Sos=210. Demods=0. Limbo=3, Disabled=243. Hints=0.
% 0.72/1.05 Megabytes=0.47.
% 0.72/1.05 User_CPU=0.07, System_CPU=0.01, Wall_clock=0.
% 0.72/1.05
% 0.72/1.05 ============================== end of statistics =====================
% 0.72/1.05
% 0.72/1.05 ============================== end of search =========================
% 0.72/1.05
% 0.72/1.05 THEOREM PROVED
% 0.72/1.05 % SZS status Unsatisfiable
% 0.72/1.05
% 0.72/1.05 Exiting with 1 proof.
% 0.72/1.05
% 0.72/1.05 Process 5770 exit (max_proofs) Sat Jul 2 15:29:18 2022
% 0.72/1.05 Prover9 interrupted
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