TSTP Solution File: GRP421-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP421-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.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 11:19:01 EDT 2022
% Result : Unsatisfiable 1.39s 1.67s
% Output : Refutation 1.39s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP421-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 09:49:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.39/1.67 ============================== Prover9 ===============================
% 1.39/1.67 Prover9 (32) version 2009-11A, November 2009.
% 1.39/1.67 Process 1522 was started by sandbox on n028.cluster.edu,
% 1.39/1.67 Tue Jun 14 09:49:09 2022
% 1.39/1.67 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_1366_n028.cluster.edu".
% 1.39/1.67 ============================== end of head ===========================
% 1.39/1.67
% 1.39/1.67 ============================== INPUT =================================
% 1.39/1.67
% 1.39/1.67 % Reading from file /tmp/Prover9_1366_n028.cluster.edu
% 1.39/1.67
% 1.39/1.67 set(prolog_style_variables).
% 1.39/1.67 set(auto2).
% 1.39/1.67 % set(auto2) -> set(auto).
% 1.39/1.67 % set(auto) -> set(auto_inference).
% 1.39/1.67 % set(auto) -> set(auto_setup).
% 1.39/1.67 % set(auto_setup) -> set(predicate_elim).
% 1.39/1.67 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.39/1.67 % set(auto) -> set(auto_limits).
% 1.39/1.67 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.39/1.67 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.39/1.67 % set(auto) -> set(auto_denials).
% 1.39/1.67 % set(auto) -> set(auto_process).
% 1.39/1.67 % set(auto2) -> assign(new_constants, 1).
% 1.39/1.67 % set(auto2) -> assign(fold_denial_max, 3).
% 1.39/1.67 % set(auto2) -> assign(max_weight, "200.000").
% 1.39/1.67 % set(auto2) -> assign(max_hours, 1).
% 1.39/1.67 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.39/1.67 % set(auto2) -> assign(max_seconds, 0).
% 1.39/1.67 % set(auto2) -> assign(max_minutes, 5).
% 1.39/1.67 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.39/1.67 % set(auto2) -> set(sort_initial_sos).
% 1.39/1.67 % set(auto2) -> assign(sos_limit, -1).
% 1.39/1.67 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.39/1.67 % set(auto2) -> assign(max_megs, 400).
% 1.39/1.67 % set(auto2) -> assign(stats, some).
% 1.39/1.67 % set(auto2) -> clear(echo_input).
% 1.39/1.67 % set(auto2) -> set(quiet).
% 1.39/1.67 % set(auto2) -> clear(print_initial_clauses).
% 1.39/1.67 % set(auto2) -> clear(print_given).
% 1.39/1.67 assign(lrs_ticks,-1).
% 1.39/1.67 assign(sos_limit,10000).
% 1.39/1.67 assign(order,kbo).
% 1.39/1.67 set(lex_order_vars).
% 1.39/1.67 clear(print_given).
% 1.39/1.67
% 1.39/1.67 % formulas(sos). % not echoed (2 formulas)
% 1.39/1.67
% 1.39/1.67 ============================== end of input ==========================
% 1.39/1.67
% 1.39/1.67 % From the command line: assign(max_seconds, 300).
% 1.39/1.67
% 1.39/1.67 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.39/1.67
% 1.39/1.67 % Formulas that are not ordinary clauses:
% 1.39/1.67
% 1.39/1.67 ============================== end of process non-clausal formulas ===
% 1.39/1.67
% 1.39/1.67 ============================== PROCESS INITIAL CLAUSES ===============
% 1.39/1.67
% 1.39/1.67 ============================== PREDICATE ELIMINATION =================
% 1.39/1.67
% 1.39/1.67 ============================== end predicate elimination =============
% 1.39/1.67
% 1.39/1.67 Auto_denials:
% 1.39/1.67 % copying label prove_these_axioms_1 to answer in negative clause
% 1.39/1.67
% 1.39/1.67 Term ordering decisions:
% 1.39/1.67
% 1.39/1.67 % Assigning unary symbol inverse kb_weight 0 and highest precedence (5).
% 1.39/1.67 Function symbol KB weights: a1=1. b1=1. multiply=1. inverse=0.
% 1.39/1.67
% 1.39/1.67 ============================== end of process initial clauses ========
% 1.39/1.67
% 1.39/1.67 ============================== CLAUSES FOR SEARCH ====================
% 1.39/1.67
% 1.39/1.67 ============================== end of clauses for search =============
% 1.39/1.67
% 1.39/1.67 ============================== SEARCH ================================
% 1.39/1.67
% 1.39/1.67 % Starting search at 0.01 seconds.
% 1.39/1.67
% 1.39/1.67 ============================== PROOF =================================
% 1.39/1.67 % SZS status Unsatisfiable
% 1.39/1.67 % SZS output start Refutation
% 1.39/1.67
% 1.39/1.67 % Proof 1 at 0.69 (+ 0.01) seconds: prove_these_axioms_1.
% 1.39/1.67 % Length of proof is 12.
% 1.39/1.67 % Level of proof is 7.
% 1.39/1.67 % Maximum clause weight is 39.000.
% 1.39/1.67 % Given clauses 35.
% 1.39/1.67
% 1.39/1.67 1 inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = B # label(single_axiom) # label(axiom). [assumption].
% 1.39/1.67 2 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) # label(prove_these_axioms_1) # label(negated_conjecture) # answer(prove_these_axioms_1). [assumption].
% 1.39/1.67 3 multiply(inverse(b1),b1) != multiply(inverse(a1),a1) # answer(prove_these_axioms_1). [copy(2),flip(a)].
% 1.39/1.67 4 multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = inverse(multiply(inverse(multiply(D,inverse(multiply(B,multiply(inverse(E),inverse(multiply(inverse(E),E))))))),multiply(D,E))). [para(1(a,1),1(a,1,1,1,1,2,1,1)),flip(a)].
% 1.39/1.67 6 multiply(inverse(A),inverse(multiply(inverse(B),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))) = inverse(multiply(inverse(multiply(C,B)),multiply(C,A))). [para(1(a,1),1(a,1,1,1,1,2)),flip(a)].
% 1.39/1.67 14 multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(B)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = B. [para(4(a,2),1(a,1))].
% 1.39/1.67 92 inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = inverse(multiply(inverse(multiply(D,B)),multiply(D,C))). [para(6(a,1),6(a,1))].
% 1.39/1.67 104 multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(D,B)),multiply(D,C)). [para(92(a,1),1(a,1,1,1,1,2,1,1)),rewrite([1(17)])].
% 1.39/1.67 201 multiply(inverse(multiply(A,multiply(B,C))),multiply(A,D)) = multiply(E,multiply(inverse(multiply(B,inverse(multiply(inverse(E),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),D)). [para(1(a,1),104(a,1,1)),flip(a)].
% 1.39/1.67 2715 multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,C))) = multiply(inverse(D),D). [para(14(a,1),201(a,2,2))].
% 1.39/1.67 2999 multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,C))) != multiply(inverse(a1),a1) # answer(prove_these_axioms_1). [para(2715(a,2),3(a,1))].
% 1.39/1.67 3000 $F # answer(prove_these_axioms_1). [resolve(2999,a,2715,a)].
% 1.39/1.67
% 1.39/1.67 % SZS output end Refutation
% 1.39/1.67 ============================== end of proof ==========================
% 1.39/1.67
% 1.39/1.67 ============================== STATISTICS ============================
% 1.39/1.67
% 1.39/1.67 Given=35. Generated=7048. Kept=2998. proofs=1.
% 1.39/1.67 Usable=30. Sos=2743. Demods=946. Limbo=5, Disabled=221. Hints=0.
% 1.39/1.67 Megabytes=11.64.
% 1.39/1.67 User_CPU=0.69, System_CPU=0.01, Wall_clock=1.
% 1.39/1.67
% 1.39/1.67 ============================== end of statistics =====================
% 1.39/1.67
% 1.39/1.67 ============================== end of search =========================
% 1.39/1.67
% 1.39/1.67 THEOREM PROVED
% 1.39/1.67 % SZS status Unsatisfiable
% 1.39/1.67
% 1.39/1.67 Exiting with 1 proof.
% 1.39/1.67
% 1.39/1.67 Process 1522 exit (max_proofs) Tue Jun 14 09:49:10 2022
% 1.39/1.67 Prover9 interrupted
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