TSTP Solution File: COL002-2 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : COL002-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.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 00:39:39 EDT 2022
% Result : Unsatisfiable 0.47s 1.03s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : COL002-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue May 31 06:25:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.47/1.03 ============================== Prover9 ===============================
% 0.47/1.03 Prover9 (32) version 2009-11A, November 2009.
% 0.47/1.03 Process 30807 was started by sandbox2 on n028.cluster.edu,
% 0.47/1.03 Tue May 31 06:25:06 2022
% 0.47/1.03 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_30654_n028.cluster.edu".
% 0.47/1.03 ============================== end of head ===========================
% 0.47/1.03
% 0.47/1.03 ============================== INPUT =================================
% 0.47/1.03
% 0.47/1.03 % Reading from file /tmp/Prover9_30654_n028.cluster.edu
% 0.47/1.03
% 0.47/1.03 set(prolog_style_variables).
% 0.47/1.03 set(auto2).
% 0.47/1.03 % set(auto2) -> set(auto).
% 0.47/1.03 % set(auto) -> set(auto_inference).
% 0.47/1.03 % set(auto) -> set(auto_setup).
% 0.47/1.03 % set(auto_setup) -> set(predicate_elim).
% 0.47/1.03 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.47/1.03 % set(auto) -> set(auto_limits).
% 0.47/1.03 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.47/1.03 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.47/1.03 % set(auto) -> set(auto_denials).
% 0.47/1.03 % set(auto) -> set(auto_process).
% 0.47/1.03 % set(auto2) -> assign(new_constants, 1).
% 0.47/1.03 % set(auto2) -> assign(fold_denial_max, 3).
% 0.47/1.03 % set(auto2) -> assign(max_weight, "200.000").
% 0.47/1.03 % set(auto2) -> assign(max_hours, 1).
% 0.47/1.03 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.47/1.03 % set(auto2) -> assign(max_seconds, 0).
% 0.47/1.03 % set(auto2) -> assign(max_minutes, 5).
% 0.47/1.03 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.47/1.03 % set(auto2) -> set(sort_initial_sos).
% 0.47/1.03 % set(auto2) -> assign(sos_limit, -1).
% 0.47/1.03 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.47/1.03 % set(auto2) -> assign(max_megs, 400).
% 0.47/1.03 % set(auto2) -> assign(stats, some).
% 0.47/1.03 % set(auto2) -> clear(echo_input).
% 0.47/1.03 % set(auto2) -> set(quiet).
% 0.47/1.03 % set(auto2) -> clear(print_initial_clauses).
% 0.47/1.03 % set(auto2) -> clear(print_given).
% 0.47/1.03 assign(lrs_ticks,-1).
% 0.47/1.03 assign(sos_limit,10000).
% 0.47/1.03 assign(order,kbo).
% 0.47/1.03 set(lex_order_vars).
% 0.47/1.03 clear(print_given).
% 0.47/1.03
% 0.47/1.03 % formulas(sos). % not echoed (6 formulas)
% 0.47/1.03
% 0.47/1.03 ============================== end of input ==========================
% 0.47/1.03
% 0.47/1.03 % From the command line: assign(max_seconds, 300).
% 0.47/1.03
% 0.47/1.03 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.47/1.03
% 0.47/1.03 % Formulas that are not ordinary clauses:
% 0.47/1.03
% 0.47/1.03 ============================== end of process non-clausal formulas ===
% 0.47/1.03
% 0.47/1.03 ============================== PROCESS INITIAL CLAUSES ===============
% 0.47/1.03
% 0.47/1.03 ============================== PREDICATE ELIMINATION =================
% 0.47/1.03
% 0.47/1.03 ============================== end predicate elimination =============
% 0.47/1.03
% 0.47/1.03 Auto_denials:
% 0.47/1.03 % copying label prove_weak_fixed_point to answer in negative clause
% 0.47/1.03
% 0.47/1.03 Term ordering decisions:
% 0.47/1.03 Function symbol KB weights: b=1. c=1. fixed_pt=1. i=1. s=1. apply=1.
% 0.47/1.03
% 0.47/1.03 ============================== end of process initial clauses ========
% 0.47/1.03
% 0.47/1.03 ============================== CLAUSES FOR SEARCH ====================
% 0.47/1.03
% 0.47/1.03 ============================== end of clauses for search =============
% 0.47/1.03
% 0.47/1.03 ============================== SEARCH ================================
% 0.47/1.03
% 0.47/1.03 % Starting search at 0.01 seconds.
% 0.47/1.03
% 0.47/1.03 ============================== PROOF =================================
% 0.47/1.03 % SZS status Unsatisfiable
% 0.47/1.03 % SZS output start Refutation
% 0.47/1.03
% 0.47/1.03 % Proof 1 at 0.02 (+ 0.00) seconds: prove_weak_fixed_point.
% 0.47/1.03 % Length of proof is 10.
% 0.47/1.03 % Level of proof is 3.
% 0.47/1.03 % Maximum clause weight is 33.000.
% 0.47/1.03 % Given clauses 15.
% 0.47/1.03
% 0.47/1.03 1 apply(i,A) = A # label(i_definition) # label(axiom). [assumption].
% 0.47/1.03 2 apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)) # label(b_definition) # label(axiom). [assumption].
% 0.47/1.03 4 apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)) # label(s_definition) # label(axiom). [assumption].
% 0.47/1.03 5 -fixed_point(apply(apply(apply(s,apply(b,A)),i),apply(apply(s,apply(b,A)),i))) # label(prove_weak_fixed_point) # label(negated_conjecture) # answer(prove_weak_fixed_point). [assumption].
% 0.47/1.03 6 A != apply(fixed_pt,A) | fixed_point(A) # label(weak_fixed_point) # label(axiom). [assumption].
% 0.47/1.03 7 apply(fixed_pt,A) != A | fixed_point(A). [copy(6),flip(a)].
% 0.47/1.03 9 apply(apply(apply(s,A),i),B) = apply(apply(A,B),B). [para(1(a,1),4(a,2,2))].
% 0.47/1.03 28 apply(fixed_pt,apply(apply(apply(s,apply(b,A)),i),apply(apply(s,apply(b,A)),i))) != apply(apply(apply(s,apply(b,A)),i),apply(apply(s,apply(b,A)),i)) # answer(prove_weak_fixed_point). [ur(7,b,5,a)].
% 0.47/1.03 112 apply(apply(apply(s,apply(b,A)),i),B) = apply(A,apply(B,B)). [para(9(a,2),2(a,1))].
% 0.47/1.03 113 $F # answer(prove_weak_fixed_point). [resolve(112,a,28,a(flip))].
% 0.47/1.03
% 0.47/1.03 % SZS output end Refutation
% 0.47/1.03 ============================== end of proof ==========================
% 0.47/1.03
% 0.47/1.03 ============================== STATISTICS ============================
% 0.47/1.03
% 0.47/1.03 Given=15. Generated=208. Kept=111. proofs=1.
% 0.47/1.03 Usable=15. Sos=93. Demods=19. Limbo=2, Disabled=6. Hints=0.
% 0.47/1.03 Megabytes=0.20.
% 0.47/1.03 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.47/1.03
% 0.47/1.03 ============================== end of statistics =====================
% 0.47/1.03
% 0.47/1.03 ============================== end of search =========================
% 0.47/1.03
% 0.47/1.03 THEOREM PROVED
% 0.47/1.03 % SZS status Unsatisfiable
% 0.47/1.03
% 0.47/1.03 Exiting with 1 proof.
% 0.47/1.03
% 0.47/1.03 Process 30807 exit (max_proofs) Tue May 31 06:25:06 2022
% 0.47/1.03 Prover9 interrupted
%------------------------------------------------------------------------------