TSTP Solution File: GRP446-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP446-1 : TPTP v8.1.0. Released v2.6.0.
% 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 11:19:07 EDT 2022
% Result : Unsatisfiable 0.64s 0.93s
% Output : Refutation 0.64s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : GRP446-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.09 % Command : tptp2X_and_run_prover9 %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Tue Jun 14 03:43:42 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.64/0.93 ============================== Prover9 ===============================
% 0.64/0.93 Prover9 (32) version 2009-11A, November 2009.
% 0.64/0.93 Process 3221 was started by sandbox on n032.cluster.edu,
% 0.64/0.93 Tue Jun 14 03:43:43 2022
% 0.64/0.93 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_3058_n032.cluster.edu".
% 0.64/0.93 ============================== end of head ===========================
% 0.64/0.93
% 0.64/0.93 ============================== INPUT =================================
% 0.64/0.93
% 0.64/0.93 % Reading from file /tmp/Prover9_3058_n032.cluster.edu
% 0.64/0.93
% 0.64/0.93 set(prolog_style_variables).
% 0.64/0.93 set(auto2).
% 0.64/0.93 % set(auto2) -> set(auto).
% 0.64/0.93 % set(auto) -> set(auto_inference).
% 0.64/0.93 % set(auto) -> set(auto_setup).
% 0.64/0.93 % set(auto_setup) -> set(predicate_elim).
% 0.64/0.93 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.64/0.93 % set(auto) -> set(auto_limits).
% 0.64/0.93 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.64/0.93 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.64/0.93 % set(auto) -> set(auto_denials).
% 0.64/0.93 % set(auto) -> set(auto_process).
% 0.64/0.93 % set(auto2) -> assign(new_constants, 1).
% 0.64/0.93 % set(auto2) -> assign(fold_denial_max, 3).
% 0.64/0.93 % set(auto2) -> assign(max_weight, "200.000").
% 0.64/0.93 % set(auto2) -> assign(max_hours, 1).
% 0.64/0.93 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.64/0.93 % set(auto2) -> assign(max_seconds, 0).
% 0.64/0.93 % set(auto2) -> assign(max_minutes, 5).
% 0.64/0.93 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.64/0.93 % set(auto2) -> set(sort_initial_sos).
% 0.64/0.93 % set(auto2) -> assign(sos_limit, -1).
% 0.64/0.93 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.64/0.93 % set(auto2) -> assign(max_megs, 400).
% 0.64/0.93 % set(auto2) -> assign(stats, some).
% 0.64/0.93 % set(auto2) -> clear(echo_input).
% 0.64/0.93 % set(auto2) -> set(quiet).
% 0.64/0.93 % set(auto2) -> clear(print_initial_clauses).
% 0.64/0.93 % set(auto2) -> clear(print_given).
% 0.64/0.93 assign(lrs_ticks,-1).
% 0.64/0.93 assign(sos_limit,10000).
% 0.64/0.93 assign(order,kbo).
% 0.64/0.93 set(lex_order_vars).
% 0.64/0.93 clear(print_given).
% 0.64/0.93
% 0.64/0.93 % formulas(sos). % not echoed (4 formulas)
% 0.64/0.93
% 0.64/0.93 ============================== end of input ==========================
% 0.64/0.93
% 0.64/0.93 % From the command line: assign(max_seconds, 300).
% 0.64/0.93
% 0.64/0.93 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.64/0.93
% 0.64/0.93 % Formulas that are not ordinary clauses:
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% 0.64/0.93 ============================== end of process non-clausal formulas ===
% 0.64/0.93
% 0.64/0.93 ============================== PROCESS INITIAL CLAUSES ===============
% 0.64/0.93
% 0.64/0.93 ============================== PREDICATE ELIMINATION =================
% 0.64/0.93
% 0.64/0.93 ============================== end predicate elimination =============
% 0.64/0.93
% 0.64/0.93 Auto_denials:
% 0.64/0.93 % copying label prove_these_axioms_2 to answer in negative clause
% 0.64/0.93
% 0.64/0.93 Term ordering decisions:
% 0.64/0.93
% 0.64/0.93 % Assigning unary symbol inverse kb_weight 0 and highest precedence (6).
% 0.64/0.93 Function symbol KB weights: a2=1. b2=1. divide=1. multiply=1. inverse=0.
% 0.64/0.93
% 0.64/0.93 ============================== end of process initial clauses ========
% 0.64/0.93
% 0.64/0.93 ============================== CLAUSES FOR SEARCH ====================
% 0.64/0.93
% 0.64/0.93 ============================== end of clauses for search =============
% 0.64/0.93
% 0.64/0.93 ============================== SEARCH ================================
% 0.64/0.93
% 0.64/0.93 % Starting search at 0.01 seconds.
% 0.64/0.93
% 0.64/0.93 ============================== PROOF =================================
% 0.64/0.93 % SZS status Unsatisfiable
% 0.64/0.93 % SZS output start Refutation
% 0.64/0.93
% 0.64/0.93 % Proof 1 at 0.01 (+ 0.00) seconds: prove_these_axioms_2.
% 0.64/0.93 % Length of proof is 18.
% 0.64/0.93 % Level of proof is 10.
% 0.64/0.93 % Maximum clause weight is 13.000.
% 0.64/0.93 % Given clauses 8.
% 0.64/0.93
% 0.64/0.93 1 inverse(A) = divide(divide(B,B),A) # label(inverse) # label(axiom). [assumption].
% 0.64/0.93 2 divide(divide(A,A),B) = inverse(B). [copy(1),flip(a)].
% 0.64/0.93 3 multiply(A,B) = divide(A,divide(divide(C,C),B)) # label(multiply) # label(axiom). [assumption].
% 0.64/0.93 4 multiply(A,B) = divide(A,inverse(B)). [copy(3),rewrite([2(3)])].
% 0.64/0.93 5 divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) = B # label(single_axiom) # label(axiom). [assumption].
% 0.64/0.93 6 divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))) = B. [copy(5),rewrite([2(2),2(4)])].
% 0.64/0.93 7 multiply(multiply(inverse(b2),b2),a2) != a2 # label(prove_these_axioms_2) # label(negated_conjecture) # answer(prove_these_axioms_2). [assumption].
% 0.64/0.93 8 inverse(inverse(a2)) != a2 # answer(prove_these_axioms_2). [copy(7),rewrite([4(4),4(7),2(8)])].
% 0.64/0.93 9 divide(inverse(divide(A,A)),B) = inverse(B). [para(2(a,1),2(a,1,1))].
% 0.64/0.93 10 inverse(divide(divide(inverse(A),B),inverse(B))) = A. [para(6(a,1),2(a,1)),rewrite([9(5)]),flip(a)].
% 0.64/0.93 21 inverse(divide(inverse(A),inverse(A))) = divide(B,B). [para(9(a,1),10(a,1,1,1))].
% 0.64/0.93 24 inverse(divide(inverse(A),inverse(A))) = c_0. [new_symbol(21)].
% 0.64/0.93 25 divide(A,A) = c_0. [back_rewrite(21),rewrite([24(4)]),flip(a)].
% 0.64/0.93 26 inverse(c_0) = c_0. [back_rewrite(24),rewrite([25(3)])].
% 0.64/0.93 29 inverse(divide(divide(inverse(A),c_0),c_0)) = A. [para(26(a,1),10(a,1,1,2))].
% 0.64/0.93 31 divide(A,c_0) = A. [para(25(a,1),6(a,1,2))].
% 0.64/0.93 33 inverse(inverse(A)) = A. [back_rewrite(29),rewrite([31(3),31(3)])].
% 0.64/0.93 34 $F # answer(prove_these_axioms_2). [resolve(33,a,8,a)].
% 0.64/0.93
% 0.64/0.93 % SZS output end Refutation
% 0.64/0.93 ============================== end of proof ==========================
% 0.64/0.93
% 0.64/0.93 ============================== STATISTICS ============================
% 0.64/0.93
% 0.64/0.93 Given=8. Generated=60. Kept=29. proofs=1.
% 0.64/0.93 Usable=6. Sos=11. Demods=16. Limbo=2, Disabled=13. Hints=0.
% 0.64/0.93 Megabytes=0.05.
% 0.64/0.93 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.64/0.93
% 0.64/0.93 ============================== end of statistics =====================
% 0.64/0.93
% 0.64/0.93 ============================== end of search =========================
% 0.64/0.93
% 0.64/0.93 THEOREM PROVED
% 0.64/0.93 % SZS status Unsatisfiable
% 0.64/0.93
% 0.64/0.93 Exiting with 1 proof.
% 0.64/0.93
% 0.64/0.93 Process 3221 exit (max_proofs) Tue Jun 14 03:43:43 2022
% 0.64/0.93 Prover9 interrupted
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