TSTP Solution File: COL003-4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : COL003-4 : TPTP v8.1.0. Released v1.0.0.
% 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 00:39:41 EDT 2022
% Result : Unsatisfiable 0.88s 1.16s
% Output : Refutation 0.88s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : COL003-4 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.10 % Command : tptp2X_and_run_prover9 %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Tue May 31 09:48:43 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.88/1.16 ============================== Prover9 ===============================
% 0.88/1.16 Prover9 (32) version 2009-11A, November 2009.
% 0.88/1.16 Process 21046 was started by sandbox2 on n032.cluster.edu,
% 0.88/1.16 Tue May 31 09:48:44 2022
% 0.88/1.16 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_20892_n032.cluster.edu".
% 0.88/1.16 ============================== end of head ===========================
% 0.88/1.16
% 0.88/1.16 ============================== INPUT =================================
% 0.88/1.16
% 0.88/1.16 % Reading from file /tmp/Prover9_20892_n032.cluster.edu
% 0.88/1.16
% 0.88/1.16 set(prolog_style_variables).
% 0.88/1.16 set(auto2).
% 0.88/1.16 % set(auto2) -> set(auto).
% 0.88/1.16 % set(auto) -> set(auto_inference).
% 0.88/1.16 % set(auto) -> set(auto_setup).
% 0.88/1.16 % set(auto_setup) -> set(predicate_elim).
% 0.88/1.16 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.88/1.16 % set(auto) -> set(auto_limits).
% 0.88/1.16 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.88/1.16 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.88/1.16 % set(auto) -> set(auto_denials).
% 0.88/1.16 % set(auto) -> set(auto_process).
% 0.88/1.16 % set(auto2) -> assign(new_constants, 1).
% 0.88/1.16 % set(auto2) -> assign(fold_denial_max, 3).
% 0.88/1.16 % set(auto2) -> assign(max_weight, "200.000").
% 0.88/1.16 % set(auto2) -> assign(max_hours, 1).
% 0.88/1.16 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.88/1.16 % set(auto2) -> assign(max_seconds, 0).
% 0.88/1.16 % set(auto2) -> assign(max_minutes, 5).
% 0.88/1.16 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.88/1.16 % set(auto2) -> set(sort_initial_sos).
% 0.88/1.16 % set(auto2) -> assign(sos_limit, -1).
% 0.88/1.16 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.88/1.16 % set(auto2) -> assign(max_megs, 400).
% 0.88/1.16 % set(auto2) -> assign(stats, some).
% 0.88/1.16 % set(auto2) -> clear(echo_input).
% 0.88/1.16 % set(auto2) -> set(quiet).
% 0.88/1.16 % set(auto2) -> clear(print_initial_clauses).
% 0.88/1.16 % set(auto2) -> clear(print_given).
% 0.88/1.16 assign(lrs_ticks,-1).
% 0.88/1.16 assign(sos_limit,10000).
% 0.88/1.16 assign(order,kbo).
% 0.88/1.16 set(lex_order_vars).
% 0.88/1.16 clear(print_given).
% 0.88/1.16
% 0.88/1.16 % formulas(sos). % not echoed (4 formulas)
% 0.88/1.16
% 0.88/1.16 ============================== end of input ==========================
% 0.88/1.16
% 0.88/1.16 % From the command line: assign(max_seconds, 300).
% 0.88/1.16
% 0.88/1.16 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.88/1.16
% 0.88/1.16 % Formulas that are not ordinary clauses:
% 0.88/1.16
% 0.88/1.16 ============================== end of process non-clausal formulas ===
% 0.88/1.16
% 0.88/1.16 ============================== PROCESS INITIAL CLAUSES ===============
% 0.88/1.16
% 0.88/1.16 ============================== PREDICATE ELIMINATION =================
% 0.88/1.16
% 0.88/1.16 ============================== end predicate elimination =============
% 0.88/1.16
% 0.88/1.16 Auto_denials:
% 0.88/1.16 % copying label prove_strong_fixed_point to answer in negative clause
% 0.88/1.16
% 0.88/1.16 Term ordering decisions:
% 0.88/1.16 Function symbol KB weights: fixed_pt=1. b=1. w=1. apply=1.
% 0.88/1.16
% 0.88/1.16 ============================== end of process initial clauses ========
% 0.88/1.16
% 0.88/1.16 ============================== CLAUSES FOR SEARCH ====================
% 0.88/1.16
% 0.88/1.16 ============================== end of clauses for search =============
% 0.88/1.16
% 0.88/1.16 ============================== SEARCH ================================
% 0.88/1.16
% 0.88/1.16 % Starting search at 0.01 seconds.
% 0.88/1.16
% 0.88/1.16 ============================== PROOF =================================
% 0.88/1.16 % SZS status Unsatisfiable
% 0.88/1.16 % SZS output start Refutation
% 0.88/1.16
% 0.88/1.16 % Proof 1 at 0.39 (+ 0.01) seconds: prove_strong_fixed_point.
% 0.88/1.16 % Length of proof is 11.
% 0.88/1.16 % Level of proof is 4.
% 0.88/1.16 % Maximum clause weight is 25.000.
% 0.88/1.16 % Given clauses 82.
% 0.88/1.16
% 0.88/1.16 1 apply(apply(w,A),B) = apply(apply(A,B),B) # label(w_definition) # label(axiom). [assumption].
% 0.88/1.16 2 apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)) # label(b_definition) # label(axiom). [assumption].
% 0.88/1.16 3 -fixed_point(apply(apply(b,apply(apply(b,apply(w,w)),apply(apply(b,w),b))),b)) # label(prove_strong_fixed_point) # label(negated_conjecture) # answer(prove_strong_fixed_point). [assumption].
% 0.88/1.16 4 apply(A,fixed_pt) != apply(fixed_pt,apply(A,fixed_pt)) | fixed_point(A) # label(strong_fixed_point) # label(axiom). [assumption].
% 0.88/1.16 5 apply(fixed_pt,apply(A,fixed_pt)) != apply(A,fixed_pt) | fixed_point(A). [copy(4),flip(a)].
% 0.88/1.16 7 apply(apply(w,w),A) = apply(apply(A,A),A). [para(1(a,1),1(a,2))].
% 0.88/1.16 10 apply(apply(w,apply(b,A)),B) = apply(A,apply(B,B)). [para(2(a,1),1(a,2))].
% 0.88/1.16 13 apply(fixed_pt,apply(apply(w,w),apply(w,apply(b,apply(b,fixed_pt))))) != apply(apply(w,w),apply(w,apply(b,apply(b,fixed_pt)))) # answer(prove_strong_fixed_point). [ur(5,b,3,a),rewrite([2(18),2(16),2(13),2(30),2(28),2(25)])].
% 0.88/1.16 43 apply(apply(apply(w,apply(b,apply(b,A))),B),C) = apply(A,apply(apply(B,B),C)). [para(10(a,2),2(a,1,1))].
% 0.88/1.16 2216 apply(A,apply(apply(w,w),apply(w,apply(b,apply(b,A))))) = apply(apply(w,w),apply(w,apply(b,apply(b,A)))). [para(43(a,1),7(a,2)),rewrite([7(30,R)]),flip(a)].
% 0.88/1.16 2217 $F # answer(prove_strong_fixed_point). [resolve(2216,a,13,a)].
% 0.88/1.16
% 0.88/1.16 % SZS output end Refutation
% 0.88/1.16 ============================== end of proof ==========================
% 0.88/1.16
% 0.88/1.16 ============================== STATISTICS ============================
% 0.88/1.16
% 0.88/1.16 Given=82. Generated=8866. Kept=2215. proofs=1.
% 0.88/1.16 Usable=72. Sos=1885. Demods=452. Limbo=20, Disabled=241. Hints=0.
% 0.88/1.16 Megabytes=3.22.
% 0.88/1.16 User_CPU=0.39, System_CPU=0.01, Wall_clock=0.
% 0.88/1.16
% 0.88/1.16 ============================== end of statistics =====================
% 0.88/1.16
% 0.88/1.16 ============================== end of search =========================
% 0.88/1.16
% 0.88/1.16 THEOREM PROVED
% 0.88/1.16 % SZS status Unsatisfiable
% 0.88/1.16
% 0.88/1.16 Exiting with 1 proof.
% 0.88/1.16
% 0.88/1.16 Process 21046 exit (max_proofs) Tue May 31 09:48:44 2022
% 0.88/1.16 Prover9 interrupted
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