TSTP Solution File: GRP545-1 by Prover9---1109a
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- Process Solution
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% File : Prover9---1109a
% Problem : GRP545-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n005.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 11:19:33 EDT 2022
% Result : Unsatisfiable 0.50s 1.05s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GRP545-1 : TPTP v8.1.0. Released v2.6.0.
% 0.09/0.15 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 13 23:31:39 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.50/1.05 ============================== Prover9 ===============================
% 0.50/1.05 Prover9 (32) version 2009-11A, November 2009.
% 0.50/1.05 Process 6902 was started by sandbox2 on n005.cluster.edu,
% 0.50/1.05 Mon Jun 13 23:31:39 2022
% 0.50/1.05 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_6749_n005.cluster.edu".
% 0.50/1.05 ============================== end of head ===========================
% 0.50/1.05
% 0.50/1.05 ============================== INPUT =================================
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% 0.50/1.05 % Reading from file /tmp/Prover9_6749_n005.cluster.edu
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% 0.50/1.05 set(prolog_style_variables).
% 0.50/1.05 set(auto2).
% 0.50/1.05 % set(auto2) -> set(auto).
% 0.50/1.05 % set(auto) -> set(auto_inference).
% 0.50/1.05 % set(auto) -> set(auto_setup).
% 0.50/1.05 % set(auto_setup) -> set(predicate_elim).
% 0.50/1.05 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.50/1.05 % set(auto) -> set(auto_limits).
% 0.50/1.05 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.50/1.05 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.50/1.05 % set(auto) -> set(auto_denials).
% 0.50/1.05 % set(auto) -> set(auto_process).
% 0.50/1.05 % set(auto2) -> assign(new_constants, 1).
% 0.50/1.05 % set(auto2) -> assign(fold_denial_max, 3).
% 0.50/1.05 % set(auto2) -> assign(max_weight, "200.000").
% 0.50/1.05 % set(auto2) -> assign(max_hours, 1).
% 0.50/1.05 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.50/1.05 % set(auto2) -> assign(max_seconds, 0).
% 0.50/1.05 % set(auto2) -> assign(max_minutes, 5).
% 0.50/1.05 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.50/1.05 % set(auto2) -> set(sort_initial_sos).
% 0.50/1.05 % set(auto2) -> assign(sos_limit, -1).
% 0.50/1.05 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.50/1.05 % set(auto2) -> assign(max_megs, 400).
% 0.50/1.05 % set(auto2) -> assign(stats, some).
% 0.50/1.05 % set(auto2) -> clear(echo_input).
% 0.50/1.05 % set(auto2) -> set(quiet).
% 0.50/1.05 % set(auto2) -> clear(print_initial_clauses).
% 0.50/1.05 % set(auto2) -> clear(print_given).
% 0.50/1.05 assign(lrs_ticks,-1).
% 0.50/1.05 assign(sos_limit,10000).
% 0.50/1.05 assign(order,kbo).
% 0.50/1.05 set(lex_order_vars).
% 0.50/1.05 clear(print_given).
% 0.50/1.05
% 0.50/1.05 % formulas(sos). % not echoed (5 formulas)
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% 0.50/1.05 ============================== end of input ==========================
% 0.50/1.05
% 0.50/1.05 % From the command line: assign(max_seconds, 300).
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% 0.50/1.05 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
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% 0.50/1.05 % Formulas that are not ordinary clauses:
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% 0.50/1.05 ============================== end of process non-clausal formulas ===
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% 0.50/1.05 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.50/1.05 ============================== PREDICATE ELIMINATION =================
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% 0.50/1.05 ============================== end predicate elimination =============
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% 0.50/1.05 Auto_denials:
% 0.50/1.05 % copying label prove_these_axioms_1 to answer in negative clause
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% 0.50/1.05 Term ordering decisions:
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% 0.50/1.05 % Assigning unary symbol inverse kb_weight 0 and highest precedence (7).
% 0.50/1.05 Function symbol KB weights: identity=1. a1=1. b1=1. divide=1. multiply=1. inverse=0.
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% 0.50/1.05 ============================== PROOF =================================
% 0.50/1.05 % SZS status Unsatisfiable
% 0.50/1.05 % SZS output start Refutation
% 0.50/1.05
% 0.50/1.05 % Proof 1 at 0.01 (+ 0.00) seconds: prove_these_axioms_1.
% 0.50/1.05 % Length of proof is 6.
% 0.50/1.05 % Level of proof is 2.
% 0.50/1.05 % Maximum clause weight is 9.000.
% 0.50/1.05 % Given clauses 0.
% 0.50/1.05
% 0.50/1.05 1 identity = divide(A,A) # label(identity) # label(axiom). [assumption].
% 0.50/1.05 2 divide(A,A) = identity. [copy(1),flip(a)].
% 0.50/1.05 3 inverse(A) = divide(identity,A) # label(inverse) # label(axiom). [assumption].
% 0.50/1.05 4 multiply(A,B) = divide(A,divide(identity,B)) # label(multiply) # label(axiom). [assumption].
% 0.50/1.05 6 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) # label(prove_these_axioms_1) # label(negated_conjecture) # answer(prove_these_axioms_1). [assumption].
% 0.50/1.05 7 $F # answer(prove_these_axioms_1). [copy(6),rewrite([3(2),4(5),2(7),3(3),4(6),2(8)]),xx(a)].
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% 0.50/1.05 % SZS output end Refutation
% 0.50/1.05 ============================== end of proof ==========================
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% 0.50/1.05 ============================== STATISTICS ============================
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% 0.50/1.05 Given=0. Generated=5. Kept=4. proofs=1.
% 0.50/1.05 Usable=0. Sos=0. Demods=4. Limbo=4, Disabled=5. Hints=0.
% 0.50/1.05 Megabytes=0.02.
% 0.50/1.05 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
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% 0.50/1.05 ============================== end of statistics =====================
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% 0.50/1.05 ============================== end of search =========================
% 0.50/1.05
% 0.50/1.05 THEOREM PROVED
% 0.50/1.05 % SZS status Unsatisfiable
% 0.50/1.05
% 0.50/1.05 Exiting with 1 proof.
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% 0.50/1.05 Process 6902 exit (max_proofs) Mon Jun 13 23:31:39 2022
% 0.50/1.05 Prover9 interrupted
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