TSTP Solution File: GRP424-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP424-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n012.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 11:19:02 EDT 2022
% Result : Unsatisfiable 0.72s 1.13s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP424-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n012.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 08:33:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/1.13 ============================== Prover9 ===============================
% 0.72/1.13 Prover9 (32) version 2009-11A, November 2009.
% 0.72/1.13 Process 6276 was started by sandbox2 on n012.cluster.edu,
% 0.72/1.13 Tue Jun 14 08:33:11 2022
% 0.72/1.13 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_5969_n012.cluster.edu".
% 0.72/1.13 ============================== end of head ===========================
% 0.72/1.13
% 0.72/1.13 ============================== INPUT =================================
% 0.72/1.13
% 0.72/1.13 % Reading from file /tmp/Prover9_5969_n012.cluster.edu
% 0.72/1.13
% 0.72/1.13 set(prolog_style_variables).
% 0.72/1.13 set(auto2).
% 0.72/1.13 % set(auto2) -> set(auto).
% 0.72/1.13 % set(auto) -> set(auto_inference).
% 0.72/1.13 % set(auto) -> set(auto_setup).
% 0.72/1.13 % set(auto_setup) -> set(predicate_elim).
% 0.72/1.13 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.72/1.13 % set(auto) -> set(auto_limits).
% 0.72/1.13 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.72/1.13 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.72/1.13 % set(auto) -> set(auto_denials).
% 0.72/1.13 % set(auto) -> set(auto_process).
% 0.72/1.13 % set(auto2) -> assign(new_constants, 1).
% 0.72/1.13 % set(auto2) -> assign(fold_denial_max, 3).
% 0.72/1.13 % set(auto2) -> assign(max_weight, "200.000").
% 0.72/1.13 % set(auto2) -> assign(max_hours, 1).
% 0.72/1.13 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.72/1.13 % set(auto2) -> assign(max_seconds, 0).
% 0.72/1.13 % set(auto2) -> assign(max_minutes, 5).
% 0.72/1.13 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.72/1.13 % set(auto2) -> set(sort_initial_sos).
% 0.72/1.13 % set(auto2) -> assign(sos_limit, -1).
% 0.72/1.13 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.72/1.13 % set(auto2) -> assign(max_megs, 400).
% 0.72/1.13 % set(auto2) -> assign(stats, some).
% 0.72/1.13 % set(auto2) -> clear(echo_input).
% 0.72/1.13 % set(auto2) -> set(quiet).
% 0.72/1.13 % set(auto2) -> clear(print_initial_clauses).
% 0.72/1.13 % set(auto2) -> clear(print_given).
% 0.72/1.13 assign(lrs_ticks,-1).
% 0.72/1.13 assign(sos_limit,10000).
% 0.72/1.13 assign(order,kbo).
% 0.72/1.13 set(lex_order_vars).
% 0.72/1.13 clear(print_given).
% 0.72/1.13
% 0.72/1.13 % formulas(sos). % not echoed (2 formulas)
% 0.72/1.13
% 0.72/1.13 ============================== end of input ==========================
% 0.72/1.13
% 0.72/1.13 % From the command line: assign(max_seconds, 300).
% 0.72/1.13
% 0.72/1.13 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.72/1.13
% 0.72/1.13 % Formulas that are not ordinary clauses:
% 0.72/1.13
% 0.72/1.13 ============================== end of process non-clausal formulas ===
% 0.72/1.13
% 0.72/1.13 ============================== PROCESS INITIAL CLAUSES ===============
% 0.72/1.13
% 0.72/1.13 ============================== PREDICATE ELIMINATION =================
% 0.72/1.13
% 0.72/1.13 ============================== end predicate elimination =============
% 0.72/1.13
% 0.72/1.13 Auto_denials:
% 0.72/1.13 % copying label prove_these_axioms_1 to answer in negative clause
% 0.72/1.13
% 0.72/1.13 Term ordering decisions:
% 0.72/1.13
% 0.72/1.13 % Assigning unary symbol inverse kb_weight 0 and highest precedence (5).
% 0.72/1.13 Function symbol KB weights: a1=1. b1=1. multiply=1. inverse=0.
% 0.72/1.13
% 0.72/1.13 ============================== end of process initial clauses ========
% 0.72/1.13
% 0.72/1.13 ============================== CLAUSES FOR SEARCH ====================
% 0.72/1.13
% 0.72/1.13 ============================== end of clauses for search =============
% 0.72/1.13
% 0.72/1.13 ============================== SEARCH ================================
% 0.72/1.13
% 0.72/1.13 % Starting search at 0.01 seconds.
% 0.72/1.13
% 0.72/1.13 ============================== PROOF =================================
% 0.72/1.13 % SZS status Unsatisfiable
% 0.72/1.13 % SZS output start Refutation
% 0.72/1.13
% 0.72/1.13 % Proof 1 at 0.17 (+ 0.00) seconds: prove_these_axioms_1.
% 0.72/1.13 % Length of proof is 26.
% 0.72/1.13 % Level of proof is 15.
% 0.72/1.13 % Maximum clause weight is 87.000.
% 0.72/1.13 % Given clauses 15.
% 0.72/1.13
% 0.72/1.13 1 multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))) = B # label(single_axiom) # label(axiom). [assumption].
% 0.72/1.13 2 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) # label(prove_these_axioms_1) # label(negated_conjecture) # answer(prove_these_axioms_1). [assumption].
% 0.72/1.13 3 multiply(inverse(b1),b1) != multiply(inverse(a1),a1) # answer(prove_these_axioms_1). [copy(2),flip(a)].
% 0.72/1.13 4 multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))) = multiply(inverse(multiply(D,inverse(multiply(inverse(B),C)))),multiply(D,inverse(C))). [para(1(a,1),1(a,1,1,1,1,1,2,1))].
% 0.72/1.13 6 multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(D),multiply(inverse(C),C))))),B)),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))) = D. [para(1(a,1),1(a,1,1,1,2))].
% 0.72/1.13 10 multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))),multiply(A,inverse(C))) = B. [para(4(a,1),1(a,1))].
% 0.72/1.13 17 multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C))) = multiply(inverse(multiply(D,inverse(multiply(inverse(B),C)))),multiply(D,inverse(C))). [para(4(a,1),4(a,1))].
% 0.72/1.13 23 multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,inverse(D)))))),inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(D))))) = multiply(C,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(D),D)))),D))). [para(10(a,1),1(a,1,1,1,1,1,2,1))].
% 0.72/1.13 35 multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,inverse(D))))) = multiply(inverse(multiply(E,inverse(B))),multiply(E,inverse(multiply(C,inverse(D))))). [para(10(a,1),17(a,1,1,1,2,1)),rewrite([10(21)])].
% 0.72/1.13 40 multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))) = multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(C))). [para(1(a,1),35(a,1,2,2,1)),rewrite([1(22)])].
% 0.72/1.13 52 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(D)))),inverse(multiply(inverse(D),D)))),D))) = multiply(A,inverse(C)). [para(40(a,1),1(a,1,1,1,1,1,2,1)),rewrite([23(23)])].
% 0.72/1.13 53 multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(C,inverse(D)))))),multiply(A,inverse(multiply(C,inverse(D)))))),inverse(multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(D))))) = B. [para(40(a,1),1(a,1,2,1))].
% 0.72/1.13 102 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(B),D)))),multiply(C,inverse(D)))),inverse(E)))),inverse(multiply(inverse(E),E)))),E))) = multiply(A,inverse(multiply(inverse(D),D))). [para(1(a,1),52(a,1,2,1,1,1,1,1,1,1))].
% 0.72/1.13 153 multiply(A,inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(C))))) = multiply(A,inverse(multiply(inverse(multiply(D,inverse(C))),multiply(D,inverse(C))))). [para(53(a,1),52(a,1,2,1,1,1,1,1,1,1)),rewrite([102(26)])].
% 0.72/1.13 160 multiply(A,inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(C),C)))))) = multiply(A,inverse(multiply(inverse(D),D))). [para(1(a,1),153(a,1,2,1,1,1)),rewrite([1(14)]),flip(a)].
% 0.72/1.13 188 multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(B),B))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(B),B)))),inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(B),B)))))) = multiply(inverse(C),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(E),B)))),multiply(D,inverse(B)))),inverse(multiply(inverse(C),multiply(inverse(B),B))))),E)),inverse(multiply(inverse(B),B)))). [para(6(a,1),4(a,2,1,1))].
% 0.72/1.13 236 multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(C),C))))))),multiply(A,inverse(D)))),inverse(multiply(inverse(D),D))) = D. [para(160(a,2),1(a,1,1,1,1,1))].
% 0.72/1.13 239 multiply(A,inverse(multiply(inverse(B),B))) = multiply(A,inverse(multiply(inverse(C),C))). [para(1(a,1),160(a,1,2,1,1,1)),rewrite([1(14)])].
% 0.72/1.13 240 multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))) = multiply(inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),F)))),multiply(E,inverse(multiply(inverse(F),F))))),C)))),multiply(D,inverse(C))). [para(160(a,1),4(a,1,1,1,1,1))].
% 0.72/1.13 248 multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),B)),C)))),multiply(A,inverse(C))) = inverse(multiply(inverse(C),C)). [para(160(a,2),4(a,1,1,1,1,1)),rewrite([236(30)]),flip(a)].
% 0.72/1.13 328 multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))) = inverse(multiply(inverse(C),C)). [back_rewrite(240),rewrite([248(40)])].
% 0.72/1.13 334 multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),D)))),multiply(B,inverse(D)))),inverse(multiply(inverse(A),multiply(inverse(D),D))))),C)),inverse(multiply(inverse(D),D)))) = inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D))). [back_rewrite(188),rewrite([328(34)]),flip(a)].
% 0.72/1.13 389 multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(D),multiply(inverse(C),C))))),B)),inverse(multiply(inverse(E),E))) = D. [para(239(a,1),6(a,1))].
% 0.72/1.13 391 multiply(inverse(A),A) = inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(B),B))). [back_rewrite(334),rewrite([389(23)])].
% 0.72/1.13 392 multiply(inverse(A),A) = c_0. [new_symbol(391)].
% 0.72/1.13 547 $F # answer(prove_these_axioms_1). [back_rewrite(3),rewrite([392(4),392(5)]),xx(a)].
% 0.72/1.13
% 0.72/1.13 % SZS output end Refutation
% 0.72/1.13 ============================== end of proof ==========================
% 0.72/1.13
% 0.72/1.13 ============================== STATISTICS ============================
% 0.72/1.13
% 0.72/1.13 Given=15. Generated=921. Kept=545. proofs=1.
% 0.72/1.13 Usable=1. Sos=3. Demods=113. Limbo=155, Disabled=388. Hints=0.
% 0.72/1.13 Megabytes=1.61.
% 0.72/1.13 User_CPU=0.17, System_CPU=0.00, Wall_clock=0.
% 0.72/1.13
% 0.72/1.13 ============================== end of statistics =====================
% 0.72/1.13
% 0.72/1.13 ============================== end of search =========================
% 0.72/1.13
% 0.72/1.13 THEOREM PROVED
% 0.72/1.13 % SZS status Unsatisfiable
% 0.72/1.13
% 0.72/1.13 Exiting with 1 proof.
% 0.72/1.13
% 0.72/1.13 Process 6276 exit (max_proofs) Tue Jun 14 08:33:11 2022
% 0.72/1.13 Prover9 interrupted
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