TSTP Solution File: COL042-8 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : COL042-8 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n021.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 00:39:47 EDT 2022
% Result : Unsatisfiable 0.99s 1.30s
% Output : Refutation 0.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL042-8 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue May 31 04:16:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.99/1.30 ============================== Prover9 ===============================
% 0.99/1.30 Prover9 (32) version 2009-11A, November 2009.
% 0.99/1.30 Process 5340 was started by sandbox2 on n021.cluster.edu,
% 0.99/1.30 Tue May 31 04:16:45 2022
% 0.99/1.30 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_5187_n021.cluster.edu".
% 0.99/1.30 ============================== end of head ===========================
% 0.99/1.30
% 0.99/1.30 ============================== INPUT =================================
% 0.99/1.30
% 0.99/1.30 % Reading from file /tmp/Prover9_5187_n021.cluster.edu
% 0.99/1.30
% 0.99/1.30 set(prolog_style_variables).
% 0.99/1.30 set(auto2).
% 0.99/1.30 % set(auto2) -> set(auto).
% 0.99/1.30 % set(auto) -> set(auto_inference).
% 0.99/1.30 % set(auto) -> set(auto_setup).
% 0.99/1.30 % set(auto_setup) -> set(predicate_elim).
% 0.99/1.30 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.99/1.30 % set(auto) -> set(auto_limits).
% 0.99/1.30 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.99/1.30 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.99/1.30 % set(auto) -> set(auto_denials).
% 0.99/1.30 % set(auto) -> set(auto_process).
% 0.99/1.30 % set(auto2) -> assign(new_constants, 1).
% 0.99/1.30 % set(auto2) -> assign(fold_denial_max, 3).
% 0.99/1.30 % set(auto2) -> assign(max_weight, "200.000").
% 0.99/1.30 % set(auto2) -> assign(max_hours, 1).
% 0.99/1.30 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.99/1.30 % set(auto2) -> assign(max_seconds, 0).
% 0.99/1.30 % set(auto2) -> assign(max_minutes, 5).
% 0.99/1.30 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.99/1.30 % set(auto2) -> set(sort_initial_sos).
% 0.99/1.30 % set(auto2) -> assign(sos_limit, -1).
% 0.99/1.30 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.99/1.30 % set(auto2) -> assign(max_megs, 400).
% 0.99/1.30 % set(auto2) -> assign(stats, some).
% 0.99/1.30 % set(auto2) -> clear(echo_input).
% 0.99/1.30 % set(auto2) -> set(quiet).
% 0.99/1.30 % set(auto2) -> clear(print_initial_clauses).
% 0.99/1.30 % set(auto2) -> clear(print_given).
% 0.99/1.30 assign(lrs_ticks,-1).
% 0.99/1.30 assign(sos_limit,10000).
% 0.99/1.30 assign(order,kbo).
% 0.99/1.30 set(lex_order_vars).
% 0.99/1.30 clear(print_given).
% 0.99/1.30
% 0.99/1.30 % formulas(sos). % not echoed (4 formulas)
% 0.99/1.30
% 0.99/1.30 ============================== end of input ==========================
% 0.99/1.30
% 0.99/1.30 % From the command line: assign(max_seconds, 300).
% 0.99/1.30
% 0.99/1.30 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.99/1.30
% 0.99/1.30 % Formulas that are not ordinary clauses:
% 0.99/1.30
% 0.99/1.30 ============================== end of process non-clausal formulas ===
% 0.99/1.30
% 0.99/1.30 ============================== PROCESS INITIAL CLAUSES ===============
% 0.99/1.30
% 0.99/1.30 ============================== PREDICATE ELIMINATION =================
% 0.99/1.30
% 0.99/1.30 ============================== end predicate elimination =============
% 0.99/1.30
% 0.99/1.30 Auto_denials:
% 0.99/1.30 % copying label prove_strong_fixed_point to answer in negative clause
% 0.99/1.30
% 0.99/1.30 Term ordering decisions:
% 0.99/1.30 Function symbol KB weights: b=1. w1=1. strong_fixed_point=1. fixed_pt=1. apply=1.
% 0.99/1.30
% 0.99/1.30 ============================== end of process initial clauses ========
% 0.99/1.30
% 0.99/1.30 ============================== CLAUSES FOR SEARCH ====================
% 0.99/1.30
% 0.99/1.30 ============================== end of clauses for search =============
% 0.99/1.30
% 0.99/1.30 ============================== SEARCH ================================
% 0.99/1.30
% 0.99/1.30 % Starting search at 0.01 seconds.
% 0.99/1.30
% 0.99/1.30 ============================== PROOF =================================
% 0.99/1.30 % SZS status Unsatisfiable
% 0.99/1.30 % SZS output start Refutation
% 0.99/1.30
% 0.99/1.30 % Proof 1 at 0.33 (+ 0.01) seconds: prove_strong_fixed_point.
% 0.99/1.30 % Length of proof is 11.
% 0.99/1.30 % Level of proof is 4.
% 0.99/1.30 % Maximum clause weight is 29.000.
% 0.99/1.30 % Given clauses 53.
% 0.99/1.30
% 0.99/1.30 1 apply(apply(w1,A),B) = apply(apply(B,A),A) # label(w1_definition) # label(axiom). [assumption].
% 0.99/1.30 2 apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)) # label(b_definition) # label(axiom). [assumption].
% 0.99/1.30 3 strong_fixed_point = apply(apply(b,apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),b))),b) # label(strong_fixed_point) # label(axiom). [assumption].
% 0.99/1.30 4 apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) # label(prove_strong_fixed_point) # label(negated_conjecture) # answer(prove_strong_fixed_point). [assumption].
% 0.99/1.30 5 apply(fixed_pt,apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt))))) != apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt)))) # answer(prove_strong_fixed_point). [copy(4),rewrite([3(1),2(19),2(17),2(14),3(15),2(33),2(31),2(28)]),flip(a)].
% 0.99/1.30 7 apply(apply(w1,A),w1) = apply(apply(A,A),A). [para(1(a,1),1(a,2))].
% 0.99/1.30 14 apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1)) # answer(prove_strong_fixed_point). [para(1(a,1),5(a,1,2)),rewrite([2(12)]),flip(a)].
% 0.99/1.30 27 apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1)) != apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1) # answer(prove_strong_fixed_point). [para(1(a,1),14(a,1)),rewrite([2(11)]),flip(a)].
% 0.99/1.30 30 apply(apply(A,apply(B,apply(apply(b,A),B))),apply(apply(b,A),B)) = apply(apply(w1,apply(apply(b,A),B)),w1). [para(2(a,1),7(a,2,1)),flip(a)].
% 0.99/1.30 1917 apply(A,apply(apply(w1,apply(apply(b,apply(b,A)),B)),B)) = apply(apply(w1,apply(apply(b,apply(b,A)),B)),w1). [para(30(a,1),2(a,1)),rewrite([1(21,R)]),flip(a)].
% 0.99/1.30 1918 $F # answer(prove_strong_fixed_point). [resolve(1917,a,27,a)].
% 0.99/1.30
% 0.99/1.30 % SZS output end Refutation
% 0.99/1.30 ============================== end of proof ==========================
% 0.99/1.30
% 0.99/1.30 ============================== STATISTICS ============================
% 0.99/1.30
% 0.99/1.30 Given=53. Generated=6720. Kept=1916. proofs=1.
% 0.99/1.30 Usable=53. Sos=1683. Demods=777. Limbo=3, Disabled=180. Hints=0.
% 0.99/1.30 Megabytes=2.84.
% 0.99/1.30 User_CPU=0.33, System_CPU=0.01, Wall_clock=0.
% 0.99/1.30
% 0.99/1.30 ============================== end of statistics =====================
% 0.99/1.30
% 0.99/1.30 ============================== end of search =========================
% 0.99/1.30
% 0.99/1.30 THEOREM PROVED
% 0.99/1.30 % SZS status Unsatisfiable
% 0.99/1.30
% 0.99/1.30 Exiting with 1 proof.
% 0.99/1.30
% 0.99/1.30 Process 5340 exit (max_proofs) Tue May 31 04:16:45 2022
% 0.99/1.30 Prover9 interrupted
%------------------------------------------------------------------------------