TSTP Solution File: COL074-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : COL074-3 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n032.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 0.59s 0.89s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : COL074-3 : TPTP v8.1.0. Released v1.2.0.
% 0.08/0.11 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.31 % Computer : n032.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 : Tue May 31 06:26:58 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.59/0.89 ============================== Prover9 ===============================
% 0.59/0.89 Prover9 (32) version 2009-11A, November 2009.
% 0.59/0.89 Process 11538 was started by sandbox on n032.cluster.edu,
% 0.59/0.89 Tue May 31 06:26:58 2022
% 0.59/0.89 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_11384_n032.cluster.edu".
% 0.59/0.89 ============================== end of head ===========================
% 0.59/0.89
% 0.59/0.89 ============================== INPUT =================================
% 0.59/0.89
% 0.59/0.89 % Reading from file /tmp/Prover9_11384_n032.cluster.edu
% 0.59/0.89
% 0.59/0.89 set(prolog_style_variables).
% 0.59/0.89 set(auto2).
% 0.59/0.89 % set(auto2) -> set(auto).
% 0.59/0.89 % set(auto) -> set(auto_inference).
% 0.59/0.89 % set(auto) -> set(auto_setup).
% 0.59/0.89 % set(auto_setup) -> set(predicate_elim).
% 0.59/0.89 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.59/0.89 % set(auto) -> set(auto_limits).
% 0.59/0.89 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.59/0.89 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.59/0.89 % set(auto) -> set(auto_denials).
% 0.59/0.89 % set(auto) -> set(auto_process).
% 0.59/0.89 % set(auto2) -> assign(new_constants, 1).
% 0.59/0.89 % set(auto2) -> assign(fold_denial_max, 3).
% 0.59/0.89 % set(auto2) -> assign(max_weight, "200.000").
% 0.59/0.89 % set(auto2) -> assign(max_hours, 1).
% 0.59/0.89 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.59/0.89 % set(auto2) -> assign(max_seconds, 0).
% 0.59/0.89 % set(auto2) -> assign(max_minutes, 5).
% 0.59/0.89 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.59/0.89 % set(auto2) -> set(sort_initial_sos).
% 0.59/0.89 % set(auto2) -> assign(sos_limit, -1).
% 0.59/0.89 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.59/0.89 % set(auto2) -> assign(max_megs, 400).
% 0.59/0.89 % set(auto2) -> assign(stats, some).
% 0.59/0.89 % set(auto2) -> clear(echo_input).
% 0.59/0.89 % set(auto2) -> set(quiet).
% 0.59/0.89 % set(auto2) -> clear(print_initial_clauses).
% 0.59/0.89 % set(auto2) -> clear(print_given).
% 0.59/0.89 assign(lrs_ticks,-1).
% 0.59/0.89 assign(sos_limit,10000).
% 0.59/0.89 assign(order,kbo).
% 0.59/0.89 set(lex_order_vars).
% 0.59/0.89 clear(print_given).
% 0.59/0.89
% 0.59/0.89 % formulas(sos). % not echoed (13 formulas)
% 0.59/0.89
% 0.59/0.89 ============================== end of input ==========================
% 0.59/0.89
% 0.59/0.89 % From the command line: assign(max_seconds, 300).
% 0.59/0.89
% 0.59/0.89 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.59/0.89
% 0.59/0.89 % Formulas that are not ordinary clauses:
% 0.59/0.89
% 0.59/0.89 ============================== end of process non-clausal formulas ===
% 0.59/0.89
% 0.59/0.89 ============================== PROCESS INITIAL CLAUSES ===============
% 0.59/0.89
% 0.59/0.89 ============================== PREDICATE ELIMINATION =================
% 0.59/0.89
% 0.59/0.89 ============================== end predicate elimination =============
% 0.59/0.89
% 0.59/0.89 Auto_denials: (non-Horn, no changes).
% 0.59/0.89
% 0.59/0.89 Term ordering decisions:
% 0.59/0.89 Function symbol KB weights: k=1. projection2=1. projection1=1. eq=1. s=1. abstraction=1. k_projection1=1. k_projection2=1. apply=1. pair=1. n=1.
% 0.59/0.89
% 0.59/0.89 ============================== end of process initial clauses ========
% 0.59/0.89
% 0.59/0.89 ============================== CLAUSES FOR SEARCH ====================
% 0.59/0.89
% 0.59/0.89 ============================== end of clauses for search =============
% 0.59/0.89
% 0.59/0.89 ============================== SEARCH ================================
% 0.59/0.89
% 0.59/0.89 % Starting search at 0.01 seconds.
% 0.59/0.89
% 0.59/0.89 ============================== PROOF =================================
% 0.59/0.89 % SZS status Unsatisfiable
% 0.59/0.89 % SZS output start Refutation
% 0.59/0.89
% 0.59/0.89 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.59/0.89 % Length of proof is 11.
% 0.59/0.89 % Level of proof is 4.
% 0.59/0.89 % Maximum clause weight is 10.000.
% 0.59/0.89 % Given clauses 20.
% 0.59/0.89
% 0.59/0.89 2 apply(k,projection2) = k_projection2 # label(k_projection2) # label(axiom). [assumption].
% 0.59/0.89 3 apply(apply(k,A),B) = A # label(k_definition) # label(negated_conjecture). [assumption].
% 0.59/0.89 6 apply(eq,pair(A,A)) = projection1 # label(equality) # label(axiom). [assumption].
% 0.59/0.89 8 A = B | apply(eq,pair(A,B)) = projection2 # label(extensionality1) # label(axiom). [assumption].
% 0.59/0.89 9 s = apply(eq,pair(apply(k,s),apply(k,projection2))) # label(self_referential) # label(axiom). [assumption].
% 0.59/0.89 10 apply(eq,pair(apply(k,s),k_projection2)) = s. [copy(9),rewrite([2(8)]),flip(a)].
% 0.59/0.89 15 projection1 != projection2 # label(different_projections) # label(axiom). [assumption].
% 0.59/0.89 20 apply(k_projection2,A) = projection2. [para(2(a,1),3(a,1,1))].
% 0.59/0.89 21 apply(k,s) = k_projection2 | s = projection2. [para(10(a,1),8(b,1))].
% 0.59/0.89 92 s = projection2. [para(21(a,1),3(a,1,1)),rewrite([20(5)]),flip(b),merge(b)].
% 0.59/0.89 96 $F. [back_rewrite(10),rewrite([92(3),2(4),6(5),92(2)]),unit_del(a,15)].
% 0.59/0.89
% 0.59/0.89 % SZS output end Refutation
% 0.59/0.89 ============================== end of proof ==========================
% 0.59/0.89
% 0.59/0.89 ============================== STATISTICS ============================
% 0.59/0.89
% 0.59/0.89 Given=20. Generated=122. Kept=91. proofs=1.
% 0.59/0.89 Usable=18. Sos=59. Demods=43. Limbo=4, Disabled=23. Hints=0.
% 0.59/0.89 Megabytes=0.18.
% 0.59/0.89 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.59/0.89
% 0.59/0.89 ============================== end of statistics =====================
% 0.59/0.89
% 0.59/0.89 ============================== end of search =========================
% 0.59/0.89
% 0.59/0.89 THEOREM PROVED
% 0.59/0.89 % SZS status Unsatisfiable
% 0.59/0.89
% 0.59/0.89 Exiting with 1 proof.
% 0.59/0.89
% 0.59/0.89 Process 11538 exit (max_proofs) Tue May 31 06:26:58 2022
% 0.59/0.89 Prover9 interrupted
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