TSTP Solution File: COL075-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : COL075-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n017.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 00:39:56 EDT 2022
% Result : Unsatisfiable 0.90s 1.17s
% Output : Refutation 0.90s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL075-1 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue May 31 11:44:41 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.90/1.17 ============================== Prover9 ===============================
% 0.90/1.17 Prover9 (32) version 2009-11A, November 2009.
% 0.90/1.17 Process 23110 was started by sandbox2 on n017.cluster.edu,
% 0.90/1.17 Tue May 31 11:44:41 2022
% 0.90/1.17 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_22956_n017.cluster.edu".
% 0.90/1.17 ============================== end of head ===========================
% 0.90/1.17
% 0.90/1.17 ============================== INPUT =================================
% 0.90/1.17
% 0.90/1.17 % Reading from file /tmp/Prover9_22956_n017.cluster.edu
% 0.90/1.17
% 0.90/1.17 set(prolog_style_variables).
% 0.90/1.17 set(auto2).
% 0.90/1.17 % set(auto2) -> set(auto).
% 0.90/1.17 % set(auto) -> set(auto_inference).
% 0.90/1.17 % set(auto) -> set(auto_setup).
% 0.90/1.17 % set(auto_setup) -> set(predicate_elim).
% 0.90/1.17 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.90/1.17 % set(auto) -> set(auto_limits).
% 0.90/1.17 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.90/1.17 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.90/1.17 % set(auto) -> set(auto_denials).
% 0.90/1.17 % set(auto) -> set(auto_process).
% 0.90/1.17 % set(auto2) -> assign(new_constants, 1).
% 0.90/1.17 % set(auto2) -> assign(fold_denial_max, 3).
% 0.90/1.17 % set(auto2) -> assign(max_weight, "200.000").
% 0.90/1.17 % set(auto2) -> assign(max_hours, 1).
% 0.90/1.17 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.90/1.17 % set(auto2) -> assign(max_seconds, 0).
% 0.90/1.17 % set(auto2) -> assign(max_minutes, 5).
% 0.90/1.17 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.90/1.17 % set(auto2) -> set(sort_initial_sos).
% 0.90/1.17 % set(auto2) -> assign(sos_limit, -1).
% 0.90/1.17 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.90/1.17 % set(auto2) -> assign(max_megs, 400).
% 0.90/1.17 % set(auto2) -> assign(stats, some).
% 0.90/1.17 % set(auto2) -> clear(echo_input).
% 0.90/1.17 % set(auto2) -> set(quiet).
% 0.90/1.17 % set(auto2) -> clear(print_initial_clauses).
% 0.90/1.17 % set(auto2) -> clear(print_given).
% 0.90/1.17 assign(lrs_ticks,-1).
% 0.90/1.17 assign(sos_limit,10000).
% 0.90/1.17 assign(order,kbo).
% 0.90/1.17 set(lex_order_vars).
% 0.90/1.17 clear(print_given).
% 0.90/1.17
% 0.90/1.17 % formulas(sos). % not echoed (11 formulas)
% 0.90/1.17
% 0.90/1.17 ============================== end of input ==========================
% 0.90/1.17
% 0.90/1.17 % From the command line: assign(max_seconds, 300).
% 0.90/1.17
% 0.90/1.17 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.90/1.17
% 0.90/1.17 % Formulas that are not ordinary clauses:
% 0.90/1.17
% 0.90/1.17 ============================== end of process non-clausal formulas ===
% 0.90/1.17
% 0.90/1.17 ============================== PROCESS INITIAL CLAUSES ===============
% 0.90/1.17
% 0.90/1.17 ============================== PREDICATE ELIMINATION =================
% 0.90/1.17
% 0.90/1.17 ============================== end predicate elimination =============
% 0.90/1.17
% 0.90/1.17 Auto_denials: (non-Horn, no changes).
% 0.90/1.17
% 0.90/1.17 Term ordering decisions:
% 0.90/1.17 Function symbol KB weights: projection1=1. projection2=1. eq=1. k=1. abstraction=1. apply=1. pair=1. n=1. b=1. c=1.
% 0.90/1.17
% 0.90/1.17 ============================== end of process initial clauses ========
% 0.90/1.17
% 0.90/1.17 ============================== CLAUSES FOR SEARCH ====================
% 0.90/1.17
% 0.90/1.17 ============================== end of clauses for search =============
% 0.90/1.17
% 0.90/1.17 ============================== SEARCH ================================
% 0.90/1.17
% 0.90/1.17 % Starting search at 0.01 seconds.
% 0.90/1.17
% 0.90/1.17 ============================== PROOF =================================
% 0.90/1.17 % SZS status Unsatisfiable
% 0.90/1.17 % SZS output start Refutation
% 0.90/1.17
% 0.90/1.17 % Proof 1 at 0.20 (+ 0.01) seconds.
% 0.90/1.17 % Length of proof is 7.
% 0.90/1.17 % Level of proof is 4.
% 0.90/1.17 % Maximum clause weight is 17.000.
% 0.90/1.17 % Given clauses 120.
% 0.90/1.17
% 0.90/1.17 1 apply(apply(k,A),B) = A # label(k_definition) # label(axiom). [assumption].
% 0.90/1.17 9 apply(apply(apply(abstraction,A),B),C) = apply(apply(A,apply(k,C)),apply(B,C)) # label(abstraction) # label(axiom). [assumption].
% 0.90/1.17 10 apply(apply(A,apply(k,B)),apply(C,B)) = apply(apply(apply(abstraction,A),C),B). [copy(9),flip(a)].
% 0.90/1.17 13 apply(apply(A,b(A)),c(A)) != apply(b(A),b(A)) # label(prove_diagonal_combinator) # label(negated_conjecture). [assumption].
% 0.90/1.17 33 apply(apply(apply(abstraction,A),apply(k,B)),C) = apply(apply(A,apply(k,C)),B). [para(1(a,1),10(a,1,2)),flip(a)].
% 0.90/1.17 1491 apply(apply(apply(apply(abstraction,abstraction),k),A),B) = apply(A,A). [para(10(a,1),33(a,1,1)),rewrite([1(12)])].
% 0.90/1.17 1492 $F. [resolve(1491,a,13,a)].
% 0.90/1.17
% 0.90/1.17 % SZS output end Refutation
% 0.90/1.17 ============================== end of proof ==========================
% 0.90/1.17
% 0.90/1.17 ============================== STATISTICS ============================
% 0.90/1.17
% 0.90/1.17 Given=120. Generated=3743. Kept=1487. proofs=1.
% 0.90/1.17 Usable=99. Sos=1136. Demods=276. Limbo=4, Disabled=258. Hints=0.
% 0.90/1.17 Megabytes=2.42.
% 0.90/1.17 User_CPU=0.20, System_CPU=0.01, Wall_clock=1.
% 0.90/1.17
% 0.90/1.17 ============================== end of statistics =====================
% 0.90/1.17
% 0.90/1.17 ============================== end of search =========================
% 0.90/1.17
% 0.90/1.17 THEOREM PROVED
% 0.90/1.17 % SZS status Unsatisfiable
% 0.90/1.17
% 0.90/1.17 Exiting with 1 proof.
% 0.90/1.17
% 0.90/1.17 Process 23110 exit (max_proofs) Tue May 31 11:44:42 2022
% 0.90/1.17 Prover9 interrupted
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