TSTP Solution File: COL061-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : COL061-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n018.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 00:39:51 EDT 2022
% Result : Unsatisfiable 0.75s 1.12s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL061-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue May 31 08:04:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.75/1.12 ============================== Prover9 ===============================
% 0.75/1.12 Prover9 (32) version 2009-11A, November 2009.
% 0.75/1.12 Process 20453 was started by sandbox2 on n018.cluster.edu,
% 0.75/1.12 Tue May 31 08:04:28 2022
% 0.75/1.12 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_20300_n018.cluster.edu".
% 0.75/1.12 ============================== end of head ===========================
% 0.75/1.12
% 0.75/1.12 ============================== INPUT =================================
% 0.75/1.12
% 0.75/1.12 % Reading from file /tmp/Prover9_20300_n018.cluster.edu
% 0.75/1.12
% 0.75/1.12 set(prolog_style_variables).
% 0.75/1.12 set(auto2).
% 0.75/1.12 % set(auto2) -> set(auto).
% 0.75/1.12 % set(auto) -> set(auto_inference).
% 0.75/1.12 % set(auto) -> set(auto_setup).
% 0.75/1.12 % set(auto_setup) -> set(predicate_elim).
% 0.75/1.12 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.75/1.12 % set(auto) -> set(auto_limits).
% 0.75/1.12 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.75/1.12 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.75/1.12 % set(auto) -> set(auto_denials).
% 0.75/1.12 % set(auto) -> set(auto_process).
% 0.75/1.12 % set(auto2) -> assign(new_constants, 1).
% 0.75/1.12 % set(auto2) -> assign(fold_denial_max, 3).
% 0.75/1.12 % set(auto2) -> assign(max_weight, "200.000").
% 0.75/1.12 % set(auto2) -> assign(max_hours, 1).
% 0.75/1.12 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.75/1.12 % set(auto2) -> assign(max_seconds, 0).
% 0.75/1.12 % set(auto2) -> assign(max_minutes, 5).
% 0.75/1.12 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.75/1.12 % set(auto2) -> set(sort_initial_sos).
% 0.75/1.12 % set(auto2) -> assign(sos_limit, -1).
% 0.75/1.12 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.75/1.12 % set(auto2) -> assign(max_megs, 400).
% 0.75/1.12 % set(auto2) -> assign(stats, some).
% 0.75/1.12 % set(auto2) -> clear(echo_input).
% 0.75/1.12 % set(auto2) -> set(quiet).
% 0.75/1.12 % set(auto2) -> clear(print_initial_clauses).
% 0.75/1.12 % set(auto2) -> clear(print_given).
% 0.75/1.12 assign(lrs_ticks,-1).
% 0.75/1.12 assign(sos_limit,10000).
% 0.75/1.12 assign(order,kbo).
% 0.75/1.12 set(lex_order_vars).
% 0.75/1.12 clear(print_given).
% 0.75/1.12
% 0.75/1.12 % formulas(sos). % not echoed (3 formulas)
% 0.75/1.12
% 0.75/1.12 ============================== end of input ==========================
% 0.75/1.12
% 0.75/1.12 % From the command line: assign(max_seconds, 300).
% 0.75/1.12
% 0.75/1.12 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.75/1.12
% 0.75/1.12 % Formulas that are not ordinary clauses:
% 0.75/1.12
% 0.75/1.12 ============================== end of process non-clausal formulas ===
% 0.75/1.12
% 0.75/1.12 ============================== PROCESS INITIAL CLAUSES ===============
% 0.75/1.12
% 0.75/1.12 ============================== PREDICATE ELIMINATION =================
% 0.75/1.12
% 0.75/1.12 ============================== end predicate elimination =============
% 0.75/1.12
% 0.75/1.12 Auto_denials:
% 0.75/1.12 % copying label prove_q1_combinator to answer in negative clause
% 0.75/1.12
% 0.75/1.12 Term ordering decisions:
% 0.75/1.12 Function symbol KB weights: b=1. t=1. apply=1. f=1. g=1. h=1.
% 0.75/1.12
% 0.75/1.12 ============================== end of process initial clauses ========
% 0.75/1.12
% 0.75/1.12 ============================== CLAUSES FOR SEARCH ====================
% 0.75/1.12
% 0.75/1.12 ============================== end of clauses for search =============
% 0.75/1.12
% 0.75/1.12 ============================== SEARCH ================================
% 0.75/1.12
% 0.75/1.12 % Starting search at 0.01 seconds.
% 0.75/1.12
% 0.75/1.12 ============================== PROOF =================================
% 0.75/1.12 % SZS status Unsatisfiable
% 0.75/1.12 % SZS output start Refutation
% 0.75/1.12
% 0.75/1.12 % Proof 1 at 0.12 (+ 0.00) seconds: prove_q1_combinator.
% 0.75/1.12 % Length of proof is 9.
% 0.75/1.12 % Level of proof is 6.
% 0.75/1.12 % Maximum clause weight is 83.000.
% 0.75/1.12 % Given clauses 161.
% 0.75/1.12
% 0.75/1.12 1 apply(apply(t,A),B) = apply(B,A) # label(t_definition) # label(axiom). [assumption].
% 0.75/1.12 2 apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)) # label(b_definition) # label(axiom). [assumption].
% 0.75/1.12 3 apply(apply(apply(A,f(A)),g(A)),h(A)) != apply(f(A),apply(h(A),g(A))) # label(prove_q1_combinator) # label(negated_conjecture) # answer(prove_q1_combinator). [assumption].
% 0.75/1.12 6 apply(apply(apply(A,apply(B,f(apply(apply(b,A),B)))),g(apply(apply(b,A),B))),h(apply(apply(b,A),B))) != apply(f(apply(apply(b,A),B)),apply(h(apply(apply(b,A),B)),g(apply(apply(b,A),B)))) # answer(prove_q1_combinator). [para(2(a,1),3(a,1,1,1))].
% 0.75/1.12 14 apply(apply(apply(apply(A,f(apply(apply(b,apply(t,B)),A))),B),g(apply(apply(b,apply(t,B)),A))),h(apply(apply(b,apply(t,B)),A))) != apply(f(apply(apply(b,apply(t,B)),A)),apply(h(apply(apply(b,apply(t,B)),A)),g(apply(apply(b,apply(t,B)),A)))) # answer(prove_q1_combinator). [para(1(a,1),6(a,1,1,1))].
% 0.75/1.12 42 apply(apply(apply(apply(A,apply(B,f(apply(apply(b,apply(t,C)),apply(apply(b,A),B))))),C),g(apply(apply(b,apply(t,C)),apply(apply(b,A),B)))),h(apply(apply(b,apply(t,C)),apply(apply(b,A),B)))) != apply(f(apply(apply(b,apply(t,C)),apply(apply(b,A),B))),apply(h(apply(apply(b,apply(t,C)),apply(apply(b,A),B))),g(apply(apply(b,apply(t,C)),apply(apply(b,A),B))))) # answer(prove_q1_combinator). [para(2(a,1),14(a,1,1,1,1))].
% 0.75/1.12 187 apply(apply(apply(A,f(apply(apply(b,apply(t,B)),apply(apply(b,b),A)))),apply(B,g(apply(apply(b,apply(t,B)),apply(apply(b,b),A))))),h(apply(apply(b,apply(t,B)),apply(apply(b,b),A)))) != apply(f(apply(apply(b,apply(t,B)),apply(apply(b,b),A))),apply(h(apply(apply(b,apply(t,B)),apply(apply(b,b),A))),g(apply(apply(b,apply(t,B)),apply(apply(b,b),A))))) # answer(prove_q1_combinator). [para(2(a,1),42(a,1,1))].
% 0.75/1.12 425 apply(f(apply(apply(b,apply(t,A)),apply(apply(b,b),b))),apply(apply(A,g(apply(apply(b,apply(t,A)),apply(apply(b,b),b)))),h(apply(apply(b,apply(t,A)),apply(apply(b,b),b))))) != apply(f(apply(apply(b,apply(t,A)),apply(apply(b,b),b))),apply(h(apply(apply(b,apply(t,A)),apply(apply(b,b),b))),g(apply(apply(b,apply(t,A)),apply(apply(b,b),b))))) # answer(prove_q1_combinator). [para(2(a,1),187(a,1))].
% 0.75/1.12 437 $F # answer(prove_q1_combinator). [para(1(a,1),425(a,1,2)),xx(a)].
% 0.75/1.12
% 0.75/1.12 % SZS output end Refutation
% 0.75/1.12 ============================== end of proof ==========================
% 0.75/1.12
% 0.75/1.12 ============================== STATISTICS ============================
% 0.75/1.12
% 0.75/1.12 Given=161. Generated=553. Kept=436. proofs=1.
% 0.75/1.12 Usable=161. Sos=274. Demods=2. Limbo=1, Disabled=3. Hints=0.
% 0.75/1.12 Megabytes=2.78.
% 0.75/1.12 User_CPU=0.12, System_CPU=0.00, Wall_clock=0.
% 0.75/1.12
% 0.75/1.12 ============================== end of statistics =====================
% 0.75/1.12
% 0.75/1.12 ============================== end of search =========================
% 0.75/1.12
% 0.75/1.12 THEOREM PROVED
% 0.75/1.12 % SZS status Unsatisfiable
% 0.75/1.12
% 0.75/1.12 Exiting with 1 proof.
% 0.75/1.12
% 0.75/1.12 Process 20453 exit (max_proofs) Tue May 31 08:04:28 2022
% 0.75/1.12 Prover9 interrupted
%------------------------------------------------------------------------------