TSTP Solution File: COL081-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : COL081-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : Fri Jul 15 00:39:57 EDT 2022
% Result : Unsatisfiable 0.72s 1.02s
% 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
% 0.12/0.13 % Problem : COL081-1 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue May 31 09:19:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.72/1.02 ============================== Prover9 ===============================
% 0.72/1.02 Prover9 (32) version 2009-11A, November 2009.
% 0.72/1.02 Process 15862 was started by sandbox2 on n026.cluster.edu,
% 0.72/1.02 Tue May 31 09:19:41 2022
% 0.72/1.02 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_15481_n026.cluster.edu".
% 0.72/1.02 ============================== end of head ===========================
% 0.72/1.02
% 0.72/1.02 ============================== INPUT =================================
% 0.72/1.02
% 0.72/1.02 % Reading from file /tmp/Prover9_15481_n026.cluster.edu
% 0.72/1.02
% 0.72/1.02 set(prolog_style_variables).
% 0.72/1.02 set(auto2).
% 0.72/1.02 % set(auto2) -> set(auto).
% 0.72/1.02 % set(auto) -> set(auto_inference).
% 0.72/1.02 % set(auto) -> set(auto_setup).
% 0.72/1.02 % set(auto_setup) -> set(predicate_elim).
% 0.72/1.02 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.72/1.02 % set(auto) -> set(auto_limits).
% 0.72/1.02 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.72/1.02 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.72/1.02 % set(auto) -> set(auto_denials).
% 0.72/1.02 % set(auto) -> set(auto_process).
% 0.72/1.02 % set(auto2) -> assign(new_constants, 1).
% 0.72/1.02 % set(auto2) -> assign(fold_denial_max, 3).
% 0.72/1.02 % set(auto2) -> assign(max_weight, "200.000").
% 0.72/1.02 % set(auto2) -> assign(max_hours, 1).
% 0.72/1.02 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.72/1.02 % set(auto2) -> assign(max_seconds, 0).
% 0.72/1.02 % set(auto2) -> assign(max_minutes, 5).
% 0.72/1.02 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.72/1.02 % set(auto2) -> set(sort_initial_sos).
% 0.72/1.02 % set(auto2) -> assign(sos_limit, -1).
% 0.72/1.02 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.72/1.02 % set(auto2) -> assign(max_megs, 400).
% 0.72/1.02 % set(auto2) -> assign(stats, some).
% 0.72/1.02 % set(auto2) -> clear(echo_input).
% 0.72/1.02 % set(auto2) -> set(quiet).
% 0.72/1.02 % set(auto2) -> clear(print_initial_clauses).
% 0.72/1.02 % set(auto2) -> clear(print_given).
% 0.72/1.02 assign(lrs_ticks,-1).
% 0.72/1.02 assign(sos_limit,10000).
% 0.72/1.02 assign(order,kbo).
% 0.72/1.02 set(lex_order_vars).
% 0.72/1.02 clear(print_given).
% 0.72/1.02
% 0.72/1.02 % formulas(sos). % not echoed (12 formulas)
% 0.72/1.02
% 0.72/1.02 ============================== end of input ==========================
% 0.72/1.02
% 0.72/1.02 % From the command line: assign(max_seconds, 300).
% 0.72/1.02
% 0.72/1.02 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.72/1.02
% 0.72/1.02 % Formulas that are not ordinary clauses:
% 0.72/1.02
% 0.72/1.02 ============================== end of process non-clausal formulas ===
% 0.72/1.02
% 0.72/1.02 ============================== PROCESS INITIAL CLAUSES ===============
% 0.72/1.02
% 0.72/1.02 ============================== PREDICATE ELIMINATION =================
% 0.72/1.02
% 0.72/1.02 ============================== end predicate elimination =============
% 0.72/1.02
% 0.72/1.02 Auto_denials: (non-Horn, no changes).
% 0.72/1.02
% 0.72/1.02 Term ordering decisions:
% 0.72/1.02
% 0.72/1.02 % Assigning unary symbol k kb_weight 0 and highest precedence (11).
% 0.72/1.02 Function symbol KB weights: projection1=1. projection2=1. eq=1. abstraction=1. identity=1. b=1. apply=1. pair=1. n=1. k=0.
% 0.72/1.02
% 0.72/1.02 ============================== end of process initial clauses ========
% 0.72/1.02
% 0.72/1.02 ============================== CLAUSES FOR SEARCH ====================
% 0.72/1.02
% 0.72/1.02 ============================== end of clauses for search =============
% 0.72/1.02
% 0.72/1.02 ============================== SEARCH ================================
% 0.72/1.02
% 0.72/1.02 % Starting search at 0.01 seconds.
% 0.72/1.02
% 0.72/1.02 ============================== PROOF =================================
% 0.72/1.02 % SZS status Unsatisfiable
% 0.72/1.02 % SZS output start Refutation
% 0.72/1.02
% 0.72/1.02 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.72/1.02 % Length of proof is 9.
% 0.72/1.02 % Level of proof is 3.
% 0.72/1.02 % Maximum clause weight is 18.000.
% 0.72/1.02 % Given clauses 16.
% 0.72/1.02
% 0.72/1.02 2 apply(k(A),B) = A # label(k_definition) # label(axiom). [assumption].
% 0.72/1.02 10 apply(apply(apply(abstraction,A),B),C) = apply(apply(A,k(C)),apply(B,C)) # label(abstraction) # label(axiom). [assumption].
% 0.72/1.02 13 k(k(b)) != apply(abstraction,k(k(b))) # label(prove_TRC2c) # label(negated_conjecture). [assumption].
% 0.72/1.02 14 apply(abstraction,k(k(b))) != k(k(b)). [copy(13),flip(a)].
% 0.72/1.02 15 A = B | apply(A,n(A,B)) != apply(B,n(A,B)) # label(extensionality2) # label(axiom). [assumption].
% 0.72/1.02 16 A = B | apply(B,n(A,B)) != apply(A,n(A,B)). [copy(15),flip(b)].
% 0.72/1.02 40 apply(apply(apply(abstraction,k(A)),B),C) = apply(A,apply(B,C)). [para(2(a,1),10(a,2,1))].
% 0.72/1.02 51 apply(apply(abstraction,k(k(b))),n(apply(abstraction,k(k(b))),k(k(b)))) != k(b). [ur(16,a,14,a),rewrite([2(13)]),flip(a)].
% 0.72/1.02 78 $F. [ur(16,a,51,a),rewrite([2(21),40(35),2(32)]),xx(a)].
% 0.72/1.02
% 0.72/1.02 % SZS output end Refutation
% 0.72/1.02 ============================== end of proof ==========================
% 0.72/1.02
% 0.72/1.02 ============================== STATISTICS ============================
% 0.72/1.02
% 0.72/1.02 Given=16. Generated=99. Kept=73. proofs=1.
% 0.72/1.02 Usable=15. Sos=54. Demods=27. Limbo=0, Disabled=16. Hints=0.
% 0.72/1.02 Megabytes=0.14.
% 0.72/1.02 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.72/1.02
% 0.72/1.02 ============================== end of statistics =====================
% 0.72/1.02
% 0.72/1.02 ============================== end of search =========================
% 0.72/1.02
% 0.72/1.02 THEOREM PROVED
% 0.72/1.02 % SZS status Unsatisfiable
% 0.72/1.02
% 0.72/1.02 Exiting with 1 proof.
% 0.72/1.02
% 0.72/1.02 Process 15862 exit (max_proofs) Tue May 31 09:19:41 2022
% 0.72/1.02 Prover9 interrupted
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