TSTP Solution File: LCL083-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL083-1 : 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 13:43:52 EDT 2022
% Result : Unsatisfiable 0.81s 1.15s
% Output : Refutation 0.81s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : LCL083-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.10 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.31 % Computer : n026.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Sun Jul 3 19:20:51 EDT 2022
% 0.17/0.31 % CPUTime :
% 0.81/1.15 ============================== Prover9 ===============================
% 0.81/1.15 Prover9 (32) version 2009-11A, November 2009.
% 0.81/1.15 Process 4747 was started by sandbox2 on n026.cluster.edu,
% 0.81/1.15 Sun Jul 3 19:20:52 2022
% 0.81/1.15 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_4591_n026.cluster.edu".
% 0.81/1.15 ============================== end of head ===========================
% 0.81/1.15
% 0.81/1.15 ============================== INPUT =================================
% 0.81/1.15
% 0.81/1.15 % Reading from file /tmp/Prover9_4591_n026.cluster.edu
% 0.81/1.15
% 0.81/1.15 set(prolog_style_variables).
% 0.81/1.15 set(auto2).
% 0.81/1.15 % set(auto2) -> set(auto).
% 0.81/1.15 % set(auto) -> set(auto_inference).
% 0.81/1.15 % set(auto) -> set(auto_setup).
% 0.81/1.15 % set(auto_setup) -> set(predicate_elim).
% 0.81/1.15 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.81/1.15 % set(auto) -> set(auto_limits).
% 0.81/1.15 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.81/1.15 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.81/1.15 % set(auto) -> set(auto_denials).
% 0.81/1.15 % set(auto) -> set(auto_process).
% 0.81/1.15 % set(auto2) -> assign(new_constants, 1).
% 0.81/1.15 % set(auto2) -> assign(fold_denial_max, 3).
% 0.81/1.15 % set(auto2) -> assign(max_weight, "200.000").
% 0.81/1.15 % set(auto2) -> assign(max_hours, 1).
% 0.81/1.15 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.81/1.15 % set(auto2) -> assign(max_seconds, 0).
% 0.81/1.15 % set(auto2) -> assign(max_minutes, 5).
% 0.81/1.15 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.81/1.15 % set(auto2) -> set(sort_initial_sos).
% 0.81/1.15 % set(auto2) -> assign(sos_limit, -1).
% 0.81/1.15 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.81/1.15 % set(auto2) -> assign(max_megs, 400).
% 0.81/1.15 % set(auto2) -> assign(stats, some).
% 0.81/1.15 % set(auto2) -> clear(echo_input).
% 0.81/1.15 % set(auto2) -> set(quiet).
% 0.81/1.15 % set(auto2) -> clear(print_initial_clauses).
% 0.81/1.15 % set(auto2) -> clear(print_given).
% 0.81/1.15 assign(lrs_ticks,-1).
% 0.81/1.15 assign(sos_limit,10000).
% 0.81/1.15 assign(order,kbo).
% 0.81/1.15 set(lex_order_vars).
% 0.81/1.15 clear(print_given).
% 0.81/1.15
% 0.81/1.15 % formulas(sos). % not echoed (3 formulas)
% 0.81/1.15
% 0.81/1.15 ============================== end of input ==========================
% 0.81/1.15
% 0.81/1.15 % From the command line: assign(max_seconds, 300).
% 0.81/1.15
% 0.81/1.15 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.81/1.15
% 0.81/1.15 % Formulas that are not ordinary clauses:
% 0.81/1.15
% 0.81/1.15 ============================== end of process non-clausal formulas ===
% 0.81/1.15
% 0.81/1.15 ============================== PROCESS INITIAL CLAUSES ===============
% 0.81/1.15
% 0.81/1.15 ============================== PREDICATE ELIMINATION =================
% 0.81/1.15
% 0.81/1.15 ============================== end predicate elimination =============
% 0.81/1.15
% 0.81/1.15 Auto_denials:
% 0.81/1.15 % copying label prove_ic_3 to answer in negative clause
% 0.81/1.15
% 0.81/1.15 Term ordering decisions:
% 0.81/1.15 Function symbol KB weights: a=1. b=1. implies=1.
% 0.81/1.15
% 0.81/1.15 ============================== end of process initial clauses ========
% 0.81/1.15
% 0.81/1.15 ============================== CLAUSES FOR SEARCH ====================
% 0.81/1.15
% 0.81/1.15 ============================== end of clauses for search =============
% 0.81/1.15
% 0.81/1.15 ============================== SEARCH ================================
% 0.81/1.15
% 0.81/1.15 % Starting search at 0.01 seconds.
% 0.81/1.15
% 0.81/1.15 ============================== PROOF =================================
% 0.81/1.15 % SZS status Unsatisfiable
% 0.81/1.15 % SZS output start Refutation
% 0.81/1.15
% 0.81/1.15 % Proof 1 at 0.20 (+ 0.02) seconds: prove_ic_3.
% 0.81/1.15 % Length of proof is 20.
% 0.81/1.15 % Level of proof is 16.
% 0.81/1.15 % Maximum clause weight is 24.000.
% 0.81/1.15 % Given clauses 170.
% 0.81/1.15
% 0.81/1.15 1 is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A)))) # label(ic_JLukasiewicz) # label(axiom). [assumption].
% 0.81/1.15 2 -is_a_theorem(implies(implies(implies(a,b),a),a)) # label(prove_ic_3) # label(negated_conjecture) # answer(prove_ic_3). [assumption].
% 0.81/1.15 3 -is_a_theorem(implies(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 0.81/1.15 4 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),implies(B,D)),implies(E,implies(B,D)))). [hyper(3,a,1,a,b,1,a)].
% 0.81/1.15 5 is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(B,C))))). [hyper(3,a,4,a,b,4,a)].
% 0.81/1.15 6 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(E,B))),implies(F,implies(implies(D,B),implies(E,B))))). [hyper(3,a,1,a,b,4,a)].
% 0.81/1.15 7 is_a_theorem(implies(implies(A,B),implies(B,implies(A,B)))). [hyper(3,a,5,a,b,5,a)].
% 0.81/1.15 9 is_a_theorem(implies(implies(implies(A,implies(B,A)),B),implies(C,B))). [hyper(3,a,1,a,b,7,a)].
% 0.81/1.15 24 is_a_theorem(implies(A,implies(implies(B,C),implies(C,C)))). [hyper(3,a,6,a,b,9,a)].
% 0.81/1.15 26 is_a_theorem(implies(implies(A,B),implies(B,B))). [hyper(3,a,24,a,b,24,a)].
% 0.81/1.15 31 is_a_theorem(implies(implies(A,B),implies(A,B))). [hyper(3,a,26,a,b,9,a)].
% 0.81/1.15 33 is_a_theorem(implies(implies(implies(A,B),A),implies(C,A))). [hyper(3,a,1,a,b,31,a)].
% 0.81/1.15 56 is_a_theorem(implies(implies(implies(A,B),implies(B,C)),implies(D,implies(B,C)))). [hyper(3,a,1,a,b,33,a)].
% 0.81/1.15 103 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(D,B)),implies(E,implies(D,B)))). [hyper(3,a,1,a,b,56,a)].
% 0.81/1.15 491 is_a_theorem(implies(A,implies(implies(implies(implies(B,C),D),C),implies(B,C)))). [hyper(3,a,103,a,b,1,a)].
% 0.81/1.15 492 is_a_theorem(implies(implies(implies(implies(A,B),C),B),implies(A,B))). [hyper(3,a,491,a,b,491,a)].
% 0.81/1.15 501 is_a_theorem(implies(implies(implies(A,B),implies(implies(A,B),C)),implies(D,implies(implies(A,B),C)))). [hyper(3,a,1,a,b,492,a)].
% 0.81/1.15 1155 is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))). [hyper(3,a,501,a,b,33,a)].
% 0.81/1.15 1171 is_a_theorem(implies(implies(implies(A,B),A),A)). [hyper(3,a,1155,a,b,1155,a)].
% 0.81/1.15 1172 $F # answer(prove_ic_3). [resolve(1171,a,2,a)].
% 0.81/1.15
% 0.81/1.15 % SZS output end Refutation
% 0.81/1.15 ============================== end of proof ==========================
% 0.81/1.15
% 0.81/1.15 ============================== STATISTICS ============================
% 0.81/1.15
% 0.81/1.15 Given=170. Generated=21740. Kept=1171. proofs=1.
% 0.81/1.15 Usable=150. Sos=819. Demods=0. Limbo=0, Disabled=204. Hints=0.
% 0.81/1.15 Megabytes=1.33.
% 0.81/1.15 User_CPU=0.20, System_CPU=0.02, Wall_clock=0.
% 0.81/1.15
% 0.81/1.15 ============================== end of statistics =====================
% 0.81/1.15
% 0.81/1.15 ============================== end of search =========================
% 0.81/1.15
% 0.81/1.15 THEOREM PROVED
% 0.81/1.15 % SZS status Unsatisfiable
% 0.81/1.15
% 0.81/1.15 Exiting with 1 proof.
% 0.81/1.15
% 0.81/1.15 Process 4747 exit (max_proofs) Sun Jul 3 19:20:52 2022
% 0.81/1.15 Prover9 interrupted
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