TSTP Solution File: GRP028-4 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP028-4 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n012.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 : Sat Jul 16 11:16:49 EDT 2022
% Result : Unsatisfiable 0.74s 1.00s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP028-4 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 13:15:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.74/1.00 ============================== Prover9 ===============================
% 0.74/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.74/1.00 Process 29510 was started by sandbox on n012.cluster.edu,
% 0.74/1.00 Mon Jun 13 13:15:26 2022
% 0.74/1.00 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_29356_n012.cluster.edu".
% 0.74/1.00 ============================== end of head ===========================
% 0.74/1.00
% 0.74/1.00 ============================== INPUT =================================
% 0.74/1.00
% 0.74/1.00 % Reading from file /tmp/Prover9_29356_n012.cluster.edu
% 0.74/1.00
% 0.74/1.00 set(prolog_style_variables).
% 0.74/1.00 set(auto2).
% 0.74/1.00 % set(auto2) -> set(auto).
% 0.74/1.00 % set(auto) -> set(auto_inference).
% 0.74/1.00 % set(auto) -> set(auto_setup).
% 0.74/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.74/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.74/1.00 % set(auto) -> set(auto_limits).
% 0.74/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.74/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.74/1.00 % set(auto) -> set(auto_denials).
% 0.74/1.00 % set(auto) -> set(auto_process).
% 0.74/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.74/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.74/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.74/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.74/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.74/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.74/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.74/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.74/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.74/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.74/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.74/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.74/1.00 % set(auto2) -> assign(stats, some).
% 0.74/1.00 % set(auto2) -> clear(echo_input).
% 0.74/1.00 % set(auto2) -> set(quiet).
% 0.74/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.74/1.00 % set(auto2) -> clear(print_given).
% 0.74/1.00 assign(lrs_ticks,-1).
% 0.74/1.00 assign(sos_limit,10000).
% 0.74/1.00 assign(order,kbo).
% 0.74/1.00 set(lex_order_vars).
% 0.74/1.00 clear(print_given).
% 0.74/1.00
% 0.74/1.00 % formulas(sos). % not echoed (5 formulas)
% 0.74/1.00
% 0.74/1.00 ============================== end of input ==========================
% 0.74/1.00
% 0.74/1.00 % From the command line: assign(max_seconds, 300).
% 0.74/1.00
% 0.74/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.74/1.00
% 0.74/1.00 % Formulas that are not ordinary clauses:
% 0.74/1.00
% 0.74/1.00 ============================== end of process non-clausal formulas ===
% 0.74/1.00
% 0.74/1.00 ============================== PROCESS INITIAL CLAUSES ===============
% 0.74/1.00
% 0.74/1.00 ============================== PREDICATE ELIMINATION =================
% 0.74/1.00
% 0.74/1.00 ============================== end predicate elimination =============
% 0.74/1.00
% 0.74/1.00 Auto_denials:
% 0.74/1.00 % copying label prove_there_is_a_right_identity to answer in negative clause
% 0.74/1.00
% 0.74/1.00 Term ordering decisions:
% 0.74/1.00
% 0.74/1.00 % Assigning unary symbol not_identity kb_weight 0 and highest precedence (4).
% 0.74/1.00 Function symbol KB weights: left_solution=1. right_solution=1. not_identity=0.
% 0.74/1.00
% 0.74/1.00 ============================== end of process initial clauses ========
% 0.74/1.00
% 0.74/1.00 ============================== CLAUSES FOR SEARCH ====================
% 0.74/1.00
% 0.74/1.00 ============================== end of clauses for search =============
% 0.74/1.00
% 0.74/1.00 ============================== SEARCH ================================
% 0.74/1.00
% 0.74/1.00 % Starting search at 0.01 seconds.
% 0.74/1.00
% 0.74/1.00 ============================== PROOF =================================
% 0.74/1.00 % SZS status Unsatisfiable
% 0.74/1.00 % SZS output start Refutation
% 0.74/1.00
% 0.74/1.00 % Proof 1 at 0.01 (+ 0.00) seconds: prove_there_is_a_right_identity.
% 0.74/1.00 % Length of proof is 6.
% 0.74/1.00 % Level of proof is 2.
% 0.74/1.00 % Maximum clause weight is 16.000.
% 0.74/1.00 % Given clauses 4.
% 0.74/1.00
% 0.74/1.00 1 product(left_solution(A,B),A,B) # label(left_soln) # label(hypothesis). [assumption].
% 0.74/1.00 2 product(A,right_solution(A,B),B) # label(right_soln) # label(hypothesis). [assumption].
% 0.74/1.00 3 -product(not_identity(A),A,not_identity(A)) # label(prove_there_is_a_right_identity) # label(negated_conjecture) # answer(prove_there_is_a_right_identity). [assumption].
% 0.74/1.00 4 -product(A,B,C) | -product(B,D,E) | -product(A,E,F) | product(C,D,F) # label(associativity1) # label(axiom). [assumption].
% 0.74/1.00 10 product(A,right_solution(B,B),A). [ur(4,a,1,a,b,2,a,c,1,a)].
% 0.74/1.00 11 $F # answer(prove_there_is_a_right_identity). [resolve(10,a,3,a)].
% 0.74/1.00
% 0.74/1.00 % SZS output end Refutation
% 0.74/1.00 ============================== end of proof ==========================
% 0.74/1.00
% 0.74/1.00 ============================== STATISTICS ============================
% 0.74/1.01
% 0.74/1.01 Given=4. Generated=10. Kept=10. proofs=1.
% 0.74/1.01 Usable=4. Sos=1. Demods=0. Limbo=4, Disabled=5. Hints=0.
% 0.74/1.01 Megabytes=0.03.
% 0.74/1.01 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.74/1.01
% 0.74/1.01 ============================== end of statistics =====================
% 0.74/1.01
% 0.74/1.01 ============================== end of search =========================
% 0.74/1.01
% 0.74/1.01 THEOREM PROVED
% 0.74/1.01 % SZS status Unsatisfiable
% 0.74/1.01
% 0.74/1.01 Exiting with 1 proof.
% 0.74/1.01
% 0.74/1.01 Process 29510 exit (max_proofs) Mon Jun 13 13:15:26 2022
% 0.74/1.01 Prover9 interrupted
%------------------------------------------------------------------------------