TSTP Solution File: GRP564-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP564-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n032.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 11:19:38 EDT 2022
% Result : Unsatisfiable 0.55s 0.82s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GRP564-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.06/0.11 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Tue Jun 14 13:53:27 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.55/0.82 ============================== Prover9 ===============================
% 0.55/0.82 Prover9 (32) version 2009-11A, November 2009.
% 0.55/0.82 Process 21839 was started by sandbox on n032.cluster.edu,
% 0.55/0.82 Tue Jun 14 13:53:28 2022
% 0.55/0.82 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_21686_n032.cluster.edu".
% 0.55/0.82 ============================== end of head ===========================
% 0.55/0.82
% 0.55/0.82 ============================== INPUT =================================
% 0.55/0.82
% 0.55/0.82 % Reading from file /tmp/Prover9_21686_n032.cluster.edu
% 0.55/0.82
% 0.55/0.82 set(prolog_style_variables).
% 0.55/0.82 set(auto2).
% 0.55/0.82 % set(auto2) -> set(auto).
% 0.55/0.82 % set(auto) -> set(auto_inference).
% 0.55/0.82 % set(auto) -> set(auto_setup).
% 0.55/0.82 % set(auto_setup) -> set(predicate_elim).
% 0.55/0.82 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.55/0.82 % set(auto) -> set(auto_limits).
% 0.55/0.82 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.55/0.82 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.55/0.82 % set(auto) -> set(auto_denials).
% 0.55/0.82 % set(auto) -> set(auto_process).
% 0.55/0.82 % set(auto2) -> assign(new_constants, 1).
% 0.55/0.82 % set(auto2) -> assign(fold_denial_max, 3).
% 0.55/0.82 % set(auto2) -> assign(max_weight, "200.000").
% 0.55/0.82 % set(auto2) -> assign(max_hours, 1).
% 0.55/0.82 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.55/0.82 % set(auto2) -> assign(max_seconds, 0).
% 0.55/0.82 % set(auto2) -> assign(max_minutes, 5).
% 0.55/0.82 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.55/0.82 % set(auto2) -> set(sort_initial_sos).
% 0.55/0.82 % set(auto2) -> assign(sos_limit, -1).
% 0.55/0.82 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.55/0.82 % set(auto2) -> assign(max_megs, 400).
% 0.55/0.82 % set(auto2) -> assign(stats, some).
% 0.55/0.82 % set(auto2) -> clear(echo_input).
% 0.55/0.82 % set(auto2) -> set(quiet).
% 0.55/0.82 % set(auto2) -> clear(print_initial_clauses).
% 0.55/0.82 % set(auto2) -> clear(print_given).
% 0.55/0.82 assign(lrs_ticks,-1).
% 0.55/0.82 assign(sos_limit,10000).
% 0.55/0.82 assign(order,kbo).
% 0.55/0.82 set(lex_order_vars).
% 0.55/0.82 clear(print_given).
% 0.55/0.82
% 0.55/0.82 % formulas(sos). % not echoed (3 formulas)
% 0.55/0.82
% 0.55/0.82 ============================== end of input ==========================
% 0.55/0.82
% 0.55/0.82 % From the command line: assign(max_seconds, 300).
% 0.55/0.82
% 0.55/0.82 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.55/0.82
% 0.55/0.82 % Formulas that are not ordinary clauses:
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% 0.55/0.82 ============================== end of process non-clausal formulas ===
% 0.55/0.82
% 0.55/0.82 ============================== PROCESS INITIAL CLAUSES ===============
% 0.55/0.82
% 0.55/0.82 ============================== PREDICATE ELIMINATION =================
% 0.55/0.82
% 0.55/0.82 ============================== end predicate elimination =============
% 0.55/0.82
% 0.55/0.82 Auto_denials:
% 0.55/0.82 % copying label prove_these_axioms_4 to answer in negative clause
% 0.55/0.82
% 0.55/0.82 Term ordering decisions:
% 0.55/0.82
% 0.55/0.82 % Assigning unary symbol inverse kb_weight 0 and highest precedence (6).
% 0.55/0.82 Function symbol KB weights: a=1. b=1. divide=1. multiply=1. inverse=0.
% 0.55/0.82
% 0.55/0.82 ============================== end of process initial clauses ========
% 0.55/0.82
% 0.55/0.82 ============================== CLAUSES FOR SEARCH ====================
% 0.55/0.82
% 0.55/0.82 ============================== end of clauses for search =============
% 0.55/0.82
% 0.55/0.82 ============================== SEARCH ================================
% 0.55/0.82
% 0.55/0.82 % Starting search at 0.01 seconds.
% 0.55/0.82
% 0.55/0.82 ============================== PROOF =================================
% 0.55/0.82 % SZS status Unsatisfiable
% 0.55/0.82 % SZS output start Refutation
% 0.55/0.82
% 0.55/0.82 % Proof 1 at 0.01 (+ 0.00) seconds: prove_these_axioms_4.
% 0.55/0.82 % Length of proof is 18.
% 0.55/0.82 % Level of proof is 9.
% 0.55/0.82 % Maximum clause weight is 18.000.
% 0.55/0.82 % Given clauses 18.
% 0.55/0.82
% 0.55/0.82 1 multiply(A,B) = divide(A,inverse(B)) # label(multiply) # label(axiom). [assumption].
% 0.55/0.82 2 divide(divide(divide(A,inverse(B)),C),divide(A,C)) = B # label(single_axiom) # label(axiom). [assumption].
% 0.55/0.82 3 multiply(a,b) != multiply(b,a) # label(prove_these_axioms_4) # label(negated_conjecture) # answer(prove_these_axioms_4). [assumption].
% 0.55/0.82 4 divide(b,inverse(a)) != divide(a,inverse(b)) # answer(prove_these_axioms_4). [copy(3),rewrite([1(3),1(7)]),flip(a)].
% 0.55/0.82 5 divide(A,divide(divide(B,inverse(A)),divide(B,inverse(C)))) = C. [para(2(a,1),2(a,1,1))].
% 0.55/0.82 6 divide(divide(divide(divide(divide(A,inverse(B)),C),inverse(D)),divide(A,C)),B) = D. [para(2(a,1),2(a,1,2))].
% 0.55/0.82 7 divide(A,divide(B,divide(divide(C,inverse(divide(B,inverse(D)))),divide(C,inverse(A))))) = D. [para(5(a,1),2(a,1,1))].
% 0.55/0.82 16 divide(divide(A,inverse(B)),A) = B. [para(6(a,1),6(a,1,1,1)),rewrite([2(6)])].
% 0.55/0.82 19 divide(A,divide(B,B)) = A. [para(16(a,1),2(a,1,1))].
% 0.55/0.82 28 divide(divide(A,A),inverse(B)) = B. [para(19(a,1),16(a,1))].
% 0.55/0.82 30 divide(divide(A,inverse(B)),B) = A. [para(28(a,1),2(a,1,2)),rewrite([28(3)])].
% 0.55/0.82 31 divide(A,divide(A,B)) = B. [para(28(a,1),5(a,1,2,1)),rewrite([28(3)])].
% 0.55/0.82 45 divide(A,divide(divide(B,B),divide(divide(C,inverse(D)),divide(C,inverse(A))))) = D. [para(28(a,1),7(a,1,2,2,1,2,1))].
% 0.55/0.82 49 divide(divide(A,inverse(B)),divide(A,inverse(C))) = divide(B,C). [para(5(a,1),31(a,1,2)),flip(a)].
% 0.55/0.82 53 divide(divide(A,A),B) = inverse(B). [para(28(a,1),31(a,1,2))].
% 0.55/0.82 55 divide(A,inverse(divide(B,A))) = B. [back_rewrite(45),rewrite([49(6),53(3)])].
% 0.55/0.82 93 divide(A,inverse(B)) = divide(B,inverse(A)). [para(30(a,1),55(a,1,2,1))].
% 0.55/0.82 94 $F # answer(prove_these_axioms_4). [resolve(93,a,4,a)].
% 0.55/0.82
% 0.55/0.82 % SZS output end Refutation
% 0.55/0.82 ============================== end of proof ==========================
% 0.55/0.82
% 0.55/0.82 ============================== STATISTICS ============================
% 0.55/0.82
% 0.55/0.82 Given=18. Generated=222. Kept=92. proofs=1.
% 0.55/0.82 Usable=10. Sos=40. Demods=50. Limbo=1, Disabled=43. Hints=0.
% 0.55/0.82 Megabytes=0.13.
% 0.55/0.82 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.55/0.82
% 0.55/0.82 ============================== end of statistics =====================
% 0.55/0.82
% 0.55/0.82 ============================== end of search =========================
% 0.55/0.82
% 0.55/0.82 THEOREM PROVED
% 0.55/0.82 % SZS status Unsatisfiable
% 0.55/0.82
% 0.55/0.82 Exiting with 1 proof.
% 0.55/0.82
% 0.55/0.82 Process 21839 exit (max_proofs) Tue Jun 14 13:53:28 2022
% 0.55/0.82 Prover9 interrupted
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