TSTP Solution File: COL011-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : COL011-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n022.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 00:39:43 EDT 2022
% Result : Unsatisfiable 6.16s 6.43s
% Output : Refutation 6.16s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COL011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue May 31 08:32:07 EDT 2022
% 0.14/0.34 % CPUTime :
% 6.16/6.43 ============================== Prover9 ===============================
% 6.16/6.43 Prover9 (32) version 2009-11A, November 2009.
% 6.16/6.43 Process 8714 was started by sandbox2 on n022.cluster.edu,
% 6.16/6.43 Tue May 31 08:32:08 2022
% 6.16/6.43 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_8561_n022.cluster.edu".
% 6.16/6.43 ============================== end of head ===========================
% 6.16/6.43
% 6.16/6.43 ============================== INPUT =================================
% 6.16/6.43
% 6.16/6.43 % Reading from file /tmp/Prover9_8561_n022.cluster.edu
% 6.16/6.43
% 6.16/6.43 set(prolog_style_variables).
% 6.16/6.43 set(auto2).
% 6.16/6.43 % set(auto2) -> set(auto).
% 6.16/6.43 % set(auto) -> set(auto_inference).
% 6.16/6.43 % set(auto) -> set(auto_setup).
% 6.16/6.43 % set(auto_setup) -> set(predicate_elim).
% 6.16/6.43 % set(auto_setup) -> assign(eq_defs, unfold).
% 6.16/6.43 % set(auto) -> set(auto_limits).
% 6.16/6.43 % set(auto_limits) -> assign(max_weight, "100.000").
% 6.16/6.43 % set(auto_limits) -> assign(sos_limit, 20000).
% 6.16/6.43 % set(auto) -> set(auto_denials).
% 6.16/6.43 % set(auto) -> set(auto_process).
% 6.16/6.43 % set(auto2) -> assign(new_constants, 1).
% 6.16/6.43 % set(auto2) -> assign(fold_denial_max, 3).
% 6.16/6.43 % set(auto2) -> assign(max_weight, "200.000").
% 6.16/6.43 % set(auto2) -> assign(max_hours, 1).
% 6.16/6.43 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 6.16/6.43 % set(auto2) -> assign(max_seconds, 0).
% 6.16/6.43 % set(auto2) -> assign(max_minutes, 5).
% 6.16/6.43 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 6.16/6.43 % set(auto2) -> set(sort_initial_sos).
% 6.16/6.43 % set(auto2) -> assign(sos_limit, -1).
% 6.16/6.43 % set(auto2) -> assign(lrs_ticks, 3000).
% 6.16/6.43 % set(auto2) -> assign(max_megs, 400).
% 6.16/6.43 % set(auto2) -> assign(stats, some).
% 6.16/6.43 % set(auto2) -> clear(echo_input).
% 6.16/6.43 % set(auto2) -> set(quiet).
% 6.16/6.43 % set(auto2) -> clear(print_initial_clauses).
% 6.16/6.43 % set(auto2) -> clear(print_given).
% 6.16/6.43 assign(lrs_ticks,-1).
% 6.16/6.43 assign(sos_limit,10000).
% 6.16/6.43 assign(order,kbo).
% 6.16/6.43 set(lex_order_vars).
% 6.16/6.43 clear(print_given).
% 6.16/6.43
% 6.16/6.43 % formulas(sos). % not echoed (3 formulas)
% 6.16/6.43
% 6.16/6.43 ============================== end of input ==========================
% 6.16/6.43
% 6.16/6.43 % From the command line: assign(max_seconds, 300).
% 6.16/6.43
% 6.16/6.43 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 6.16/6.43
% 6.16/6.43 % Formulas that are not ordinary clauses:
% 6.16/6.43
% 6.16/6.43 ============================== end of process non-clausal formulas ===
% 6.16/6.43
% 6.16/6.43 ============================== PROCESS INITIAL CLAUSES ===============
% 6.16/6.43
% 6.16/6.43 ============================== PREDICATE ELIMINATION =================
% 6.16/6.43
% 6.16/6.43 ============================== end predicate elimination =============
% 6.16/6.43
% 6.16/6.43 Auto_denials:
% 6.16/6.43 % copying label prove_fixed_point to answer in negative clause
% 6.16/6.43
% 6.16/6.43 Term ordering decisions:
% 6.16/6.43 Function symbol KB weights: o=1. q1=1. combinator=1. apply=1.
% 6.16/6.43
% 6.16/6.43 ============================== end of process initial clauses ========
% 6.16/6.43
% 6.16/6.43 ============================== CLAUSES FOR SEARCH ====================
% 6.16/6.43
% 6.16/6.43 ============================== end of clauses for search =============
% 6.16/6.43
% 6.16/6.43 ============================== SEARCH ================================
% 6.16/6.43
% 6.16/6.43 % Starting search at 0.01 seconds.
% 6.16/6.43
% 6.16/6.43 Low Water (keep): wt=57.000, iters=3471
% 6.16/6.43
% 6.16/6.43 Low Water (keep): wt=55.000, iters=3427
% 6.16/6.43
% 6.16/6.43 Low Water (keep): wt=53.000, iters=3406
% 6.16/6.43
% 6.16/6.43 Low Water (keep): wt=47.000, iters=3364
% 6.16/6.43
% 6.16/6.43 Low Water (keep): wt=45.000, iters=3368
% 6.16/6.43
% 6.16/6.43 Low Water (keep): wt=43.000, iters=3531
% 6.16/6.43
% 6.16/6.43 Low Water (keep): wt=41.000, iters=3369
% 6.16/6.43
% 6.16/6.43 ============================== PROOF =================================
% 6.16/6.43 % SZS status Unsatisfiable
% 6.16/6.43 % SZS output start Refutation
% 6.16/6.43
% 6.16/6.43 % Proof 1 at 5.42 (+ 0.03) seconds: prove_fixed_point.
% 6.16/6.43 % Length of proof is 12.
% 6.16/6.43 % Level of proof is 4.
% 6.16/6.43 % Maximum clause weight is 31.000.
% 6.16/6.43 % Given clauses 89.
% 6.16/6.43
% 6.16/6.43 1 apply(apply(o,A),B) = apply(B,apply(A,B)) # label(o_definition) # label(axiom). [assumption].
% 6.16/6.43 2 apply(apply(apply(q1,A),B),C) = apply(A,apply(C,B)) # label(q1_definition) # label(axiom). [assumption].
% 6.16/6.43 3 A != apply(combinator,A) # label(prove_fixed_point) # label(negated_conjecture) # answer(prove_fixed_point). [assumption].
% 6.16/6.43 4 apply(combinator,A) != A # answer(prove_fixed_point). [copy(3),flip(a)].
% 6.16/6.43 8 apply(A,apply(apply(B,apply(apply(q1,A),C)),C)) = apply(apply(o,B),apply(apply(q1,A),C)). [para(2(a,1),1(a,2)),flip(a)].
% 6.16/6.43 9 apply(A,apply(apply(o,B),C)) = apply(A,apply(C,apply(B,C))). [para(1(a,1),2(a,2,2)),rewrite([2(6)])].
% 6.16/6.43 18 apply(apply(o,apply(apply(o,A),B)),C) = apply(C,apply(apply(B,apply(A,B)),C)). [para(9(a,2),1(a,1,1))].
% 6.16/6.43 124 apply(apply(o,apply(q1,A)),apply(apply(q1,B),C)) = apply(B,apply(A,apply(C,apply(apply(q1,B),C)))). [para(2(a,1),8(a,1,2)),flip(a)].
% 6.16/6.43 125 apply(apply(o,A),apply(apply(q1,combinator),B)) != apply(apply(A,apply(apply(q1,combinator),B)),B) # answer(prove_fixed_point). [para(8(a,1),4(a,1))].
% 6.16/6.43 2146 apply(apply(o,apply(q1,A)),apply(apply(q1,combinator),B)) != apply(A,apply(B,apply(apply(q1,combinator),B))) # answer(prove_fixed_point). [para(2(a,1),125(a,2))].
% 6.16/6.43 7598 apply(apply(o,apply(A,apply(B,apply(C,apply(apply(q1,A),C))))),D) = apply(D,apply(apply(apply(o,apply(q1,B)),apply(apply(q1,A),C)),D)). [para(124(a,1),18(a,1,1,2)),rewrite([1(19,R)])].
% 6.16/6.43 7599 $F # answer(prove_fixed_point). [resolve(7598,a,2146,a)].
% 6.16/6.43
% 6.16/6.43 % SZS output end Refutation
% 6.16/6.43 ============================== end of proof ==========================
% 6.16/6.43
% 6.16/6.43 ============================== STATISTICS ============================
% 6.16/6.43
% 6.16/6.43 Given=89. Generated=29622. Kept=7597. proofs=1.
% 6.16/6.43 Usable=83. Sos=6682. Demods=1249. Limbo=88, Disabled=746. Hints=0.
% 6.16/6.43 Megabytes=12.94.
% 6.16/6.43 User_CPU=5.42, System_CPU=0.03, Wall_clock=5.
% 6.16/6.43
% 6.16/6.43 ============================== end of statistics =====================
% 6.16/6.43
% 6.16/6.43 ============================== end of search =========================
% 6.16/6.43
% 6.16/6.43 THEOREM PROVED
% 6.16/6.43 % SZS status Unsatisfiable
% 6.16/6.43
% 6.16/6.43 Exiting with 1 proof.
% 6.16/6.43
% 6.16/6.43 Process 8714 exit (max_proofs) Tue May 31 08:32:13 2022
% 6.16/6.43 Prover9 interrupted
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