TSTP Solution File: GRP557-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP557-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n009.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 11:19:36 EDT 2022
% Result : Unsatisfiable 0.41s 0.97s
% Output : Refutation 0.41s
% 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 : GRP557-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n009.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 : Tue Jun 14 00:29:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/0.97 ============================== Prover9 ===============================
% 0.41/0.97 Prover9 (32) version 2009-11A, November 2009.
% 0.41/0.97 Process 30203 was started by sandbox on n009.cluster.edu,
% 0.41/0.97 Tue Jun 14 00:29:08 2022
% 0.41/0.97 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_30050_n009.cluster.edu".
% 0.41/0.97 ============================== end of head ===========================
% 0.41/0.97
% 0.41/0.97 ============================== INPUT =================================
% 0.41/0.97
% 0.41/0.97 % Reading from file /tmp/Prover9_30050_n009.cluster.edu
% 0.41/0.97
% 0.41/0.97 set(prolog_style_variables).
% 0.41/0.97 set(auto2).
% 0.41/0.97 % set(auto2) -> set(auto).
% 0.41/0.97 % set(auto) -> set(auto_inference).
% 0.41/0.97 % set(auto) -> set(auto_setup).
% 0.41/0.97 % set(auto_setup) -> set(predicate_elim).
% 0.41/0.97 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.41/0.97 % set(auto) -> set(auto_limits).
% 0.41/0.97 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.41/0.97 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.41/0.97 % set(auto) -> set(auto_denials).
% 0.41/0.97 % set(auto) -> set(auto_process).
% 0.41/0.97 % set(auto2) -> assign(new_constants, 1).
% 0.41/0.97 % set(auto2) -> assign(fold_denial_max, 3).
% 0.41/0.97 % set(auto2) -> assign(max_weight, "200.000").
% 0.41/0.97 % set(auto2) -> assign(max_hours, 1).
% 0.41/0.97 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.41/0.97 % set(auto2) -> assign(max_seconds, 0).
% 0.41/0.97 % set(auto2) -> assign(max_minutes, 5).
% 0.41/0.97 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.41/0.97 % set(auto2) -> set(sort_initial_sos).
% 0.41/0.97 % set(auto2) -> assign(sos_limit, -1).
% 0.41/0.97 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.41/0.97 % set(auto2) -> assign(max_megs, 400).
% 0.41/0.97 % set(auto2) -> assign(stats, some).
% 0.41/0.97 % set(auto2) -> clear(echo_input).
% 0.41/0.97 % set(auto2) -> set(quiet).
% 0.41/0.97 % set(auto2) -> clear(print_initial_clauses).
% 0.41/0.97 % set(auto2) -> clear(print_given).
% 0.41/0.97 assign(lrs_ticks,-1).
% 0.41/0.97 assign(sos_limit,10000).
% 0.41/0.97 assign(order,kbo).
% 0.41/0.97 set(lex_order_vars).
% 0.41/0.97 clear(print_given).
% 0.41/0.97
% 0.41/0.97 % formulas(sos). % not echoed (3 formulas)
% 0.41/0.97
% 0.41/0.97 ============================== end of input ==========================
% 0.41/0.97
% 0.41/0.97 % From the command line: assign(max_seconds, 300).
% 0.41/0.97
% 0.41/0.97 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.41/0.97
% 0.41/0.97 % Formulas that are not ordinary clauses:
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% 0.41/0.97 ============================== end of process non-clausal formulas ===
% 0.41/0.97
% 0.41/0.97 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.41/0.97 ============================== PREDICATE ELIMINATION =================
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% 0.41/0.97 ============================== end predicate elimination =============
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% 0.41/0.97 Auto_denials:
% 0.41/0.97 % copying label prove_these_axioms_1 to answer in negative clause
% 0.41/0.97
% 0.41/0.97 Term ordering decisions:
% 0.41/0.97
% 0.41/0.97 % Assigning unary symbol inverse kb_weight 0 and highest precedence (6).
% 0.41/0.97 Function symbol KB weights: a1=1. b1=1. divide=1. multiply=1. inverse=0.
% 0.41/0.97
% 0.41/0.97 ============================== end of process initial clauses ========
% 0.41/0.97
% 0.41/0.97 ============================== CLAUSES FOR SEARCH ====================
% 0.41/0.97
% 0.41/0.97 ============================== end of clauses for search =============
% 0.41/0.97
% 0.41/0.97 ============================== SEARCH ================================
% 0.41/0.97
% 0.41/0.97 % Starting search at 0.01 seconds.
% 0.41/0.97
% 0.41/0.97 ============================== PROOF =================================
% 0.41/0.97 % SZS status Unsatisfiable
% 0.41/0.97 % SZS output start Refutation
% 0.41/0.97
% 0.41/0.97 % Proof 1 at 0.01 (+ 0.00) seconds: prove_these_axioms_1.
% 0.41/0.97 % Length of proof is 12.
% 0.41/0.97 % Level of proof is 8.
% 0.41/0.97 % Maximum clause weight is 17.000.
% 0.41/0.97 % Given clauses 8.
% 0.41/0.97
% 0.41/0.97 1 multiply(A,B) = divide(A,inverse(B)) # label(multiply) # label(axiom). [assumption].
% 0.41/0.97 2 divide(A,inverse(divide(divide(B,C),divide(A,C)))) = B # label(single_axiom) # label(axiom). [assumption].
% 0.41/0.97 3 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) # label(prove_these_axioms_1) # label(negated_conjecture) # answer(prove_these_axioms_1). [assumption].
% 0.41/0.97 4 divide(inverse(b1),inverse(b1)) != divide(inverse(a1),inverse(a1)) # answer(prove_these_axioms_1). [copy(3),rewrite([1(4),1(9)]),flip(a)].
% 0.41/0.97 5 divide(A,inverse(divide(B,divide(A,inverse(divide(divide(B,C),divide(D,C))))))) = D. [para(2(a,1),2(a,1,2,1,1))].
% 0.41/0.97 10 divide(A,inverse(divide(B,B))) = A. [para(2(a,1),5(a,1,2,1,2))].
% 0.41/0.97 13 divide(A,inverse(divide(B,A))) = B. [para(10(a,1),2(a,1,2,1,1)),rewrite([10(3)])].
% 0.41/0.97 22 divide(inverse(divide(A,A)),inverse(B)) = B. [para(10(a,1),13(a,1,2,1))].
% 0.41/0.97 32 inverse(divide(A,A)) = divide(B,B). [para(22(a,1),10(a,1)),flip(a)].
% 0.41/0.97 35 inverse(divide(A,A)) = c_0. [new_symbol(32)].
% 0.41/0.97 37 divide(A,A) = c_0. [back_rewrite(32),rewrite([35(2)]),flip(a)].
% 0.41/0.97 47 $F # answer(prove_these_axioms_1). [back_rewrite(4),rewrite([37(5),37(6)]),xx(a)].
% 0.41/0.97
% 0.41/0.97 % SZS output end Refutation
% 0.41/0.97 ============================== end of proof ==========================
% 0.41/0.97
% 0.41/0.97 ============================== STATISTICS ============================
% 0.41/0.97
% 0.41/0.97 Given=8. Generated=89. Kept=45. proofs=1.
% 0.41/0.97 Usable=4. Sos=17. Demods=31. Limbo=10, Disabled=17. Hints=0.
% 0.41/0.97 Megabytes=0.07.
% 0.41/0.97 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.41/0.97
% 0.41/0.97 ============================== end of statistics =====================
% 0.41/0.97
% 0.41/0.97 ============================== end of search =========================
% 0.41/0.97
% 0.41/0.97 THEOREM PROVED
% 0.41/0.97 % SZS status Unsatisfiable
% 0.41/0.97
% 0.41/0.97 Exiting with 1 proof.
% 0.41/0.97
% 0.41/0.97 Process 30203 exit (max_proofs) Tue Jun 14 00:29:08 2022
% 0.41/0.97 Prover9 interrupted
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