TSTP Solution File: COL076-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : COL076-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.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 4.95s 5.28s
% Output : Refutation 4.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COL076-2 : TPTP v8.1.0. Released v1.2.0.
% 0.00/0.11 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Tue May 31 11:08:13 EDT 2022
% 0.11/0.32 % CPUTime :
% 4.95/5.24 ============================== Prover9 ===============================
% 4.95/5.24 Prover9 (32) version 2009-11A, November 2009.
% 4.95/5.24 Process 9692 was started by sandbox on n025.cluster.edu,
% 4.95/5.24 Tue May 31 11:08:13 2022
% 4.95/5.24 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_9529_n025.cluster.edu".
% 4.95/5.24 ============================== end of head ===========================
% 4.95/5.24
% 4.95/5.24 ============================== INPUT =================================
% 4.95/5.24
% 4.95/5.24 % Reading from file /tmp/Prover9_9529_n025.cluster.edu
% 4.95/5.24
% 4.95/5.24 set(prolog_style_variables).
% 4.95/5.24 set(auto2).
% 4.95/5.24 % set(auto2) -> set(auto).
% 4.95/5.24 % set(auto) -> set(auto_inference).
% 4.95/5.24 % set(auto) -> set(auto_setup).
% 4.95/5.24 % set(auto_setup) -> set(predicate_elim).
% 4.95/5.24 % set(auto_setup) -> assign(eq_defs, unfold).
% 4.95/5.24 % set(auto) -> set(auto_limits).
% 4.95/5.24 % set(auto_limits) -> assign(max_weight, "100.000").
% 4.95/5.24 % set(auto_limits) -> assign(sos_limit, 20000).
% 4.95/5.24 % set(auto) -> set(auto_denials).
% 4.95/5.24 % set(auto) -> set(auto_process).
% 4.95/5.24 % set(auto2) -> assign(new_constants, 1).
% 4.95/5.24 % set(auto2) -> assign(fold_denial_max, 3).
% 4.95/5.24 % set(auto2) -> assign(max_weight, "200.000").
% 4.95/5.24 % set(auto2) -> assign(max_hours, 1).
% 4.95/5.24 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 4.95/5.24 % set(auto2) -> assign(max_seconds, 0).
% 4.95/5.24 % set(auto2) -> assign(max_minutes, 5).
% 4.95/5.24 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 4.95/5.24 % set(auto2) -> set(sort_initial_sos).
% 4.95/5.24 % set(auto2) -> assign(sos_limit, -1).
% 4.95/5.24 % set(auto2) -> assign(lrs_ticks, 3000).
% 4.95/5.24 % set(auto2) -> assign(max_megs, 400).
% 4.95/5.24 % set(auto2) -> assign(stats, some).
% 4.95/5.24 % set(auto2) -> clear(echo_input).
% 4.95/5.24 % set(auto2) -> set(quiet).
% 4.95/5.24 % set(auto2) -> clear(print_initial_clauses).
% 4.95/5.24 % set(auto2) -> clear(print_given).
% 4.95/5.24 assign(lrs_ticks,-1).
% 4.95/5.24 assign(sos_limit,10000).
% 4.95/5.24 assign(order,kbo).
% 4.95/5.24 set(lex_order_vars).
% 4.95/5.24 clear(print_given).
% 4.95/5.24
% 4.95/5.24 % formulas(sos). % not echoed (9 formulas)
% 4.95/5.24
% 4.95/5.24 ============================== end of input ==========================
% 4.95/5.24
% 4.95/5.24 % From the command line: assign(max_seconds, 300).
% 4.95/5.24
% 4.95/5.24 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 4.95/5.24
% 4.95/5.24 % Formulas that are not ordinary clauses:
% 4.95/5.24
% 4.95/5.24 ============================== end of process non-clausal formulas ===
% 4.95/5.24
% 4.95/5.24 ============================== PROCESS INITIAL CLAUSES ===============
% 4.95/5.24
% 4.95/5.24 ============================== PREDICATE ELIMINATION =================
% 4.95/5.24
% 4.95/5.24 ============================== end predicate elimination =============
% 4.95/5.24
% 4.95/5.24 Auto_denials:
% 4.95/5.24 % copying label prove_self_referential to answer in negative clause
% 4.95/5.24
% 4.95/5.24 Term ordering decisions:
% 4.95/5.24 Function symbol KB weights: k=1. projection1=1. projection2=1. abstraction=1. f=1. eq=1. apply=1. pair=1. n=1.
% 4.95/5.24
% 4.95/5.24 ============================== end of process initial clauses ========
% 4.95/5.24
% 4.95/5.24 ============================== CLAUSES FOR SEARCH ====================
% 4.95/5.24
% 4.95/5.24 ============================== end of clauses for search =============
% 4.95/5.24
% 4.95/5.24 ============================== SEARCH ================================
% 4.95/5.24
% 4.95/5.24 % Starting search at 0.01 seconds.
% 4.95/5.24
% 4.95/5.24 Low Water (keep): wt=55.000, iters=3349
% 4.95/5.24
% 4.95/5.24 Low Water (keep): wt=45.000, iters=3334
% 4.95/5.24
% 4.95/5.24 Low Water (keep): wt=37.000, iters=3481
% 4.95/5.24
% 4.95/5.24 Low Water (keep): wt=33.000, iters=3368
% 4.95/5.24
% 4.95/5.24 Low Water (keep): wt=31.000, iters=3471
% 4.95/5.24
% 4.95/5.24 Low Water (keep): wt=30.000, iters=3352
% 4.95/5.24
% 4.95/5.24 Low Water (keep): wt=29.000, iters=3434
% 4.95/5.24
% 4.95/5.24 Low Water (keep): wt=27.000, iters=3357
% 4.95/5.24
% 4.95/5.24 Low Water (keep): wt=25.000, iters=3513
% 4.95/5.24
% 4.95/5.24 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 31 (0.00 of 2.15 sec).
% 4.95/5.24
% 4.95/5.24 Low Water (keep): wt=23.000, iters=3354
% 4.95/5.24
% 4.95/5.24 Low Water (keep): wt=22.000, iters=3333
% 4.95/5.24
% 4.95/5.24 Low Water (keep): wt=21.000, iters=3492
% 4.95/5.24
% 4.95/5.24 Low Water (displace): id=4309, wt=67.000
% 4.95/5.24
% 4.95/5.24 Low Water (displace): id=4294, wt=63.000
% 4.95/5.24
% 4.95/5.24 Low Water (displace): id=4301, wt=53.000
% 4.95/5.24
% 4.95/5.24 Low Water (displace): id=6929, wt=52.000
% 4.95/5.24
% 4.95/5.24 Low Water (displace): id=6930, wt=50.000
% 4.95/5.24
% 4.95/5.24 Low Water (displace): id=4229, wt=49.000
% 4.95/5.24
% 4.95/5.24 Low Water (displace): id=4310, wt=47.000
% 4.95/5.24
% 4.95/5.24 Low Water (displace): id=6927, wt=46.000
% 4.95/5.24
% 4.95/5.24 Low Water (displace): id=6616, wt=45.000
% 4.95/5.24
% 4.95/5.24 Low Water (displace): id=6647, wt=44.000
% 4.95/5.24
% 4.95/5.24 Low Water (displace): id=6624, wt=43.000
% 4.95/5.24
% 4.95/5.24 Low Water (displace): id=6923, wt=42.000
% 4.95/5.24
% 4.95/5.24 Low Water (displace): id=6604, wt=41.000
% 4.95/5.24
% 4.95/5.24 Low Water (displace): id=6928, wt=40.000
% 4.95/5.28
% 4.95/5.28 ============================== PROOF =================================
% 4.95/5.28 % SZS status Unsatisfiable
% 4.95/5.28 % SZS output start Refutation
% 4.95/5.28
% 4.95/5.28 % Proof 1 at 4.12 (+ 0.07) seconds: prove_self_referential.
% 4.95/5.28 % Length of proof is 22.
% 4.95/5.28 % Level of proof is 7.
% 4.95/5.28 % Maximum clause weight is 45.000.
% 4.95/5.28 % Given clauses 757.
% 4.95/5.28
% 4.95/5.28 1 apply(apply(k,A),B) = A # label(k_definition) # label(axiom). [assumption].
% 4.95/5.28 5 apply(apply(f,A),B) = apply(A,A) # label(diagonal_combinator) # label(axiom). [assumption].
% 4.95/5.28 6 apply(pair(A,B),C) = pair(apply(A,C),apply(B,C)) # label(pairwise_application) # label(axiom). [assumption].
% 4.95/5.28 7 pair(apply(A,B),apply(C,B)) = apply(pair(A,C),B). [copy(6),flip(a)].
% 4.95/5.28 8 apply(apply(apply(abstraction,A),B),C) = apply(apply(A,apply(k,C)),apply(B,C)) # label(abstraction) # label(axiom). [assumption].
% 4.95/5.28 9 apply(apply(A,apply(k,B)),apply(C,B)) = apply(apply(apply(abstraction,A),C),B). [copy(8),flip(a)].
% 4.95/5.28 10 A != apply(eq,pair(apply(k,A),apply(k,projection2))) # label(prove_self_referential) # label(negated_conjecture) # answer(prove_self_referential). [assumption].
% 4.95/5.28 11 apply(eq,pair(apply(k,A),apply(k,projection2))) != A # answer(prove_self_referential). [copy(10),flip(a)].
% 4.95/5.28 12 A = B | apply(A,n(A,B)) != apply(B,n(A,B)) # label(extensionality2) # label(axiom). [assumption].
% 4.95/5.28 13 A = B | apply(B,n(A,B)) != apply(A,n(A,B)). [copy(12),flip(b)].
% 4.95/5.28 19 apply(apply(f,A),B) = apply(apply(f,A),C). [para(5(a,2),5(a,2))].
% 4.95/5.28 21 apply(pair(A,apply(k,B)),C) = pair(apply(A,C),B). [para(1(a,1),7(a,1,2)),flip(a)].
% 4.95/5.28 34 apply(apply(apply(abstraction,apply(k,A)),B),C) = apply(A,apply(B,C)). [para(1(a,1),9(a,1,1)),flip(a)].
% 4.95/5.28 56 apply(k,A) = B | apply(B,n(B,apply(k,A))) != A. [para(1(a,1),13(b,1)),flip(a),flip(b)].
% 4.95/5.28 278 apply(apply(apply(abstraction,A),pair(B,apply(k,C))),D) = apply(apply(A,apply(k,D)),pair(apply(B,D),C)). [para(21(a,1),9(a,1,2)),flip(a)].
% 4.95/5.28 1519 apply(A,apply(apply(f,B),C)) = apply(A,apply(B,B)). [para(5(a,1),34(a,2,2)),rewrite([34(8)])].
% 4.95/5.28 1525 apply(apply(apply(abstraction,apply(abstraction,apply(k,A))),B),C) = apply(A,C). [para(34(a,1),9(a,1)),rewrite([1(4)]),flip(a)].
% 4.95/5.28 2445 apply(eq,pair(apply(k,apply(apply(f,A),B)),apply(k,projection2))) != apply(A,A) # answer(prove_self_referential). [para(1519(a,2),11(a,1,2,1))].
% 4.95/5.28 5528 apply(k,apply(apply(f,A),B)) = apply(f,A). [hyper(56,b,19,a)].
% 4.95/5.28 5759 apply(eq,pair(apply(f,A),apply(k,projection2))) != apply(A,A) # answer(prove_self_referential). [back_rewrite(2445),rewrite([5528(6)])].
% 4.95/5.28 15172 apply(apply(A,apply(k,apply(apply(abstraction,A),pair(B,apply(k,C))))),pair(apply(B,apply(apply(abstraction,A),pair(B,apply(k,C)))),C)) != apply(eq,pair(apply(f,apply(apply(abstraction,A),pair(B,apply(k,C)))),apply(k,projection2))) # answer(prove_self_referential). [para(278(a,1),5759(a,2)),flip(a)].
% 4.95/5.28 15173 $F # answer(prove_self_referential). [resolve(15172,a,1525,a)].
% 4.95/5.28
% 4.95/5.28 % SZS output end Refutation
% 4.95/5.28 ============================== end of proof ==========================
% 4.95/5.28
% 4.95/5.28 ============================== STATISTICS ============================
% 4.95/5.28
% 4.95/5.28 Given=757. Generated=68363. Kept=15168. proofs=1.
% 4.95/5.28 Usable=543. Sos=9999. Demods=3424. Limbo=4, Disabled=4630. Hints=0.
% 4.95/5.28 Megabytes=21.44.
% 4.95/5.28 User_CPU=4.12, System_CPU=0.07, Wall_clock=5.
% 4.95/5.28
% 4.95/5.28 ============================== end of statistics =====================
% 4.95/5.28
% 4.95/5.28 ============================== end of search =========================
% 4.95/5.28
% 4.95/5.28 THEOREM PROVED
% 4.95/5.28 % SZS status Unsatisfiable
% 4.95/5.28
% 4.95/5.28 Exiting with 1 proof.
% 4.95/5.28
% 4.95/5.28 Process 9692 exit (max_proofs) Tue May 31 11:08:18 2022
% 4.95/5.28 Prover9 interrupted
%------------------------------------------------------------------------------