TSTP Solution File: GRP191-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP191-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : Sat Jul 16 11:18:05 EDT 2022
% Result : Unsatisfiable 0.72s 1.01s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP191-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n021.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 : Mon Jun 13 23:03:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/1.01 ============================== Prover9 ===============================
% 0.72/1.01 Prover9 (32) version 2009-11A, November 2009.
% 0.72/1.01 Process 8940 was started by sandbox on n021.cluster.edu,
% 0.72/1.01 Mon Jun 13 23:03:28 2022
% 0.72/1.01 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_8787_n021.cluster.edu".
% 0.72/1.01 ============================== end of head ===========================
% 0.72/1.01
% 0.72/1.01 ============================== INPUT =================================
% 0.72/1.01
% 0.72/1.01 % Reading from file /tmp/Prover9_8787_n021.cluster.edu
% 0.72/1.01
% 0.72/1.01 set(prolog_style_variables).
% 0.72/1.01 set(auto2).
% 0.72/1.01 % set(auto2) -> set(auto).
% 0.72/1.01 % set(auto) -> set(auto_inference).
% 0.72/1.01 % set(auto) -> set(auto_setup).
% 0.72/1.01 % set(auto_setup) -> set(predicate_elim).
% 0.72/1.01 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.72/1.01 % set(auto) -> set(auto_limits).
% 0.72/1.01 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.72/1.01 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.72/1.01 % set(auto) -> set(auto_denials).
% 0.72/1.01 % set(auto) -> set(auto_process).
% 0.72/1.01 % set(auto2) -> assign(new_constants, 1).
% 0.72/1.01 % set(auto2) -> assign(fold_denial_max, 3).
% 0.72/1.01 % set(auto2) -> assign(max_weight, "200.000").
% 0.72/1.01 % set(auto2) -> assign(max_hours, 1).
% 0.72/1.01 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.72/1.01 % set(auto2) -> assign(max_seconds, 0).
% 0.72/1.01 % set(auto2) -> assign(max_minutes, 5).
% 0.72/1.01 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.72/1.01 % set(auto2) -> set(sort_initial_sos).
% 0.72/1.01 % set(auto2) -> assign(sos_limit, -1).
% 0.72/1.01 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.72/1.01 % set(auto2) -> assign(max_megs, 400).
% 0.72/1.01 % set(auto2) -> assign(stats, some).
% 0.72/1.01 % set(auto2) -> clear(echo_input).
% 0.72/1.01 % set(auto2) -> set(quiet).
% 0.72/1.01 % set(auto2) -> clear(print_initial_clauses).
% 0.72/1.01 % set(auto2) -> clear(print_given).
% 0.72/1.01 assign(lrs_ticks,-1).
% 0.72/1.01 assign(sos_limit,10000).
% 0.72/1.01 assign(order,kbo).
% 0.72/1.01 set(lex_order_vars).
% 0.72/1.01 clear(print_given).
% 0.72/1.01
% 0.72/1.01 % formulas(sos). % not echoed (17 formulas)
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% 0.72/1.01 ============================== end of input ==========================
% 0.72/1.01
% 0.72/1.01 % From the command line: assign(max_seconds, 300).
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% 0.72/1.01 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.72/1.01
% 0.72/1.01 % Formulas that are not ordinary clauses:
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% 0.72/1.01 ============================== end of process non-clausal formulas ===
% 0.72/1.01
% 0.72/1.01 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.72/1.01 ============================== PREDICATE ELIMINATION =================
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% 0.72/1.01 ============================== end predicate elimination =============
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% 0.72/1.01 Auto_denials:
% 0.72/1.01 % copying label prove_p39b to answer in negative clause
% 0.72/1.01
% 0.72/1.01 Term ordering decisions:
% 0.72/1.01
% 0.72/1.01 % Assigning unary symbol inverse kb_weight 0 and highest precedence (8).
% 0.72/1.01 Function symbol KB weights: b=1. identity=1. a=1. multiply=1. greatest_lower_bound=1. least_upper_bound=1. inverse=0.
% 0.72/1.01
% 0.72/1.01 ============================== end of process initial clauses ========
% 0.72/1.01
% 0.72/1.01 ============================== CLAUSES FOR SEARCH ====================
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% 0.72/1.01 ============================== end of clauses for search =============
% 0.72/1.01
% 0.72/1.01 ============================== SEARCH ================================
% 0.72/1.01
% 0.72/1.01 % Starting search at 0.01 seconds.
% 0.72/1.01
% 0.72/1.01 ============================== PROOF =================================
% 0.72/1.01 % SZS status Unsatisfiable
% 0.72/1.01 % SZS output start Refutation
% 0.72/1.01
% 0.72/1.01 % Proof 1 at 0.04 (+ 0.00) seconds: prove_p39b.
% 0.72/1.01 % Length of proof is 22.
% 0.72/1.01 % Level of proof is 6.
% 0.72/1.01 % Maximum clause weight is 13.000.
% 0.72/1.01 % Given clauses 51.
% 0.72/1.01
% 0.72/1.01 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 0.72/1.01 4 greatest_lower_bound(a,b) = b # label(p39b_1) # label(hypothesis). [assumption].
% 0.72/1.01 5 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 0.72/1.01 6 greatest_lower_bound(A,B) = greatest_lower_bound(B,A) # label(symmetry_of_glb) # label(axiom). [assumption].
% 0.72/1.01 10 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 0.72/1.01 17 multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)) # label(monotony_glb1) # label(axiom). [assumption].
% 0.72/1.01 18 greatest_lower_bound(multiply(A,B),multiply(A,C)) = multiply(A,greatest_lower_bound(B,C)). [copy(17),flip(a)].
% 0.72/1.01 21 multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)) # label(monotony_glb2) # label(axiom). [assumption].
% 0.72/1.01 22 greatest_lower_bound(multiply(A,B),multiply(C,B)) = multiply(greatest_lower_bound(A,C),B). [copy(21),flip(a)].
% 0.72/1.01 23 greatest_lower_bound(inverse(a),inverse(b)) != inverse(a) # label(prove_p39b) # label(negated_conjecture) # answer(prove_p39b). [assumption].
% 0.72/1.01 24 greatest_lower_bound(inverse(b),inverse(a)) != inverse(a) # answer(prove_p39b). [copy(23),rewrite([6(5)])].
% 0.72/1.01 25 greatest_lower_bound(b,a) = b. [back_rewrite(4),rewrite([6(3)])].
% 0.72/1.01 26 multiply(inverse(A),multiply(A,B)) = B. [para(5(a,1),10(a,1,1)),rewrite([1(2)]),flip(a)].
% 0.72/1.01 32 greatest_lower_bound(identity,multiply(inverse(A),B)) = multiply(inverse(A),greatest_lower_bound(A,B)). [para(5(a,1),18(a,1,1))].
% 0.72/1.01 42 multiply(inverse(inverse(A)),identity) = A. [para(5(a,1),26(a,1,2))].
% 0.72/1.01 48 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(26(a,1),26(a,1,2))].
% 0.72/1.01 49 multiply(A,identity) = A. [back_rewrite(42),rewrite([48(4)])].
% 0.72/1.01 57 multiply(A,inverse(A)) = identity. [para(48(a,1),5(a,1))].
% 0.72/1.02 138 greatest_lower_bound(identity,multiply(inverse(b),a)) = identity. [para(25(a,1),32(a,2,2)),rewrite([5(10)])].
% 0.72/1.02 148 greatest_lower_bound(A,multiply(inverse(b),multiply(a,A))) = A. [para(138(a,1),22(a,2,1)),rewrite([1(2),10(5),1(8)])].
% 0.72/1.02 233 greatest_lower_bound(inverse(b),inverse(a)) = inverse(a). [para(57(a,1),148(a,1,2,2)),rewrite([49(6),6(5)])].
% 0.72/1.02 234 $F # answer(prove_p39b). [resolve(233,a,24,a)].
% 0.72/1.02
% 0.72/1.02 % SZS output end Refutation
% 0.72/1.02 ============================== end of proof ==========================
% 0.72/1.02
% 0.72/1.02 ============================== STATISTICS ============================
% 0.72/1.02
% 0.72/1.02 Given=51. Generated=1112. Kept=226. proofs=1.
% 0.72/1.02 Usable=48. Sos=150. Demods=152. Limbo=2, Disabled=42. Hints=0.
% 0.72/1.02 Megabytes=0.27.
% 0.72/1.02 User_CPU=0.04, System_CPU=0.00, Wall_clock=0.
% 0.72/1.02
% 0.72/1.02 ============================== end of statistics =====================
% 0.72/1.02
% 0.72/1.02 ============================== end of search =========================
% 0.72/1.02
% 0.72/1.02 THEOREM PROVED
% 0.72/1.02 % SZS status Unsatisfiable
% 0.72/1.02
% 0.72/1.02 Exiting with 1 proof.
% 0.72/1.02
% 0.72/1.02 Process 8940 exit (max_proofs) Mon Jun 13 23:03:28 2022
% 0.72/1.02 Prover9 interrupted
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