TSTP Solution File: SET838-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET838-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n018.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 : Tue Jul 19 04:32:37 EDT 2022
% Result : Unsatisfiable 0.44s 0.98s
% Output : Refutation 0.44s
% 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 : SET838-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n018.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 09:48:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/0.98 ============================== Prover9 ===============================
% 0.44/0.98 Prover9 (32) version 2009-11A, November 2009.
% 0.44/0.98 Process 13726 was started by sandbox on n018.cluster.edu,
% 0.44/0.98 Mon Jul 11 09:48:14 2022
% 0.44/0.98 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_13572_n018.cluster.edu".
% 0.44/0.98 ============================== end of head ===========================
% 0.44/0.98
% 0.44/0.98 ============================== INPUT =================================
% 0.44/0.98
% 0.44/0.98 % Reading from file /tmp/Prover9_13572_n018.cluster.edu
% 0.44/0.98
% 0.44/0.98 set(prolog_style_variables).
% 0.44/0.98 set(auto2).
% 0.44/0.98 % set(auto2) -> set(auto).
% 0.44/0.98 % set(auto) -> set(auto_inference).
% 0.44/0.98 % set(auto) -> set(auto_setup).
% 0.44/0.98 % set(auto_setup) -> set(predicate_elim).
% 0.44/0.98 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/0.98 % set(auto) -> set(auto_limits).
% 0.44/0.98 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/0.98 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/0.98 % set(auto) -> set(auto_denials).
% 0.44/0.98 % set(auto) -> set(auto_process).
% 0.44/0.98 % set(auto2) -> assign(new_constants, 1).
% 0.44/0.98 % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/0.98 % set(auto2) -> assign(max_weight, "200.000").
% 0.44/0.98 % set(auto2) -> assign(max_hours, 1).
% 0.44/0.98 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/0.98 % set(auto2) -> assign(max_seconds, 0).
% 0.44/0.98 % set(auto2) -> assign(max_minutes, 5).
% 0.44/0.98 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/0.98 % set(auto2) -> set(sort_initial_sos).
% 0.44/0.98 % set(auto2) -> assign(sos_limit, -1).
% 0.44/0.98 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/0.98 % set(auto2) -> assign(max_megs, 400).
% 0.44/0.98 % set(auto2) -> assign(stats, some).
% 0.44/0.98 % set(auto2) -> clear(echo_input).
% 0.44/0.98 % set(auto2) -> set(quiet).
% 0.44/0.98 % set(auto2) -> clear(print_initial_clauses).
% 0.44/0.98 % set(auto2) -> clear(print_given).
% 0.44/0.98 assign(lrs_ticks,-1).
% 0.44/0.98 assign(sos_limit,10000).
% 0.44/0.98 assign(order,kbo).
% 0.44/0.98 set(lex_order_vars).
% 0.44/0.98 clear(print_given).
% 0.44/0.98
% 0.44/0.98 % formulas(sos). % not echoed (4 formulas)
% 0.44/0.98
% 0.44/0.98 ============================== end of input ==========================
% 0.44/0.98
% 0.44/0.98 % From the command line: assign(max_seconds, 300).
% 0.44/0.98
% 0.44/0.98 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/0.98
% 0.44/0.98 % Formulas that are not ordinary clauses:
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% 0.44/0.98 ============================== end of process non-clausal formulas ===
% 0.44/0.98
% 0.44/0.98 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.44/0.98 ============================== PREDICATE ELIMINATION =================
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% 0.44/0.98 ============================== end predicate elimination =============
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% 0.44/0.98 Auto_denials:
% 0.44/0.98 % copying label cls_conjecture_3 to answer in negative clause
% 0.44/0.98
% 0.44/0.98 Term ordering decisions:
% 0.44/0.98 Function symbol KB weights: v_x=1. v_f=1. v_g=1. v_xa=1.
% 0.44/0.98
% 0.44/0.98 ============================== end of process initial clauses ========
% 0.44/0.98
% 0.44/0.98 ============================== CLAUSES FOR SEARCH ====================
% 0.44/0.98
% 0.44/0.98 ============================== end of clauses for search =============
% 0.44/0.98
% 0.44/0.98 ============================== SEARCH ================================
% 0.44/0.98
% 0.44/0.98 % Starting search at 0.01 seconds.
% 0.44/0.98
% 0.44/0.98 ============================== PROOF =================================
% 0.44/0.98 % SZS status Unsatisfiable
% 0.44/0.98 % SZS output start Refutation
% 0.44/0.98
% 0.44/0.98 % Proof 1 at 0.01 (+ 0.00) seconds: cls_conjecture_3.
% 0.44/0.98 % Length of proof is 9.
% 0.44/0.98 % Level of proof is 3.
% 0.44/0.98 % Maximum clause weight is 12.000.
% 0.44/0.98 % Given clauses 6.
% 0.44/0.98
% 0.44/0.98 1 v_f(v_g(v_x)) = v_x # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.44/0.98 2 v_xa(A) != A | v_g(v_f(A)) != A # label(cls_conjecture_3) # label(negated_conjecture) # answer(cls_conjecture_3). [assumption].
% 0.44/0.98 3 A = v_x | v_f(v_g(A)) != A # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 0.44/0.98 4 v_x = A | v_f(v_g(A)) != A. [copy(3),flip(a)].
% 0.44/0.98 5 v_g(v_f(v_xa(A))) = v_xa(A) | v_g(v_f(A)) != A # label(cls_conjecture_2) # label(negated_conjecture). [assumption].
% 0.44/0.98 6 v_xa(v_g(v_x)) != v_g(v_x) # answer(cls_conjecture_3). [para(1(a,1),2(b,1,1)),xx(b)].
% 0.44/0.98 7 v_g(v_f(v_xa(v_g(v_x)))) = v_xa(v_g(v_x)). [para(1(a,1),5(b,1,1)),xx(b)].
% 0.44/0.98 10 v_f(v_xa(v_g(v_x))) = v_x. [para(7(a,1),4(b,1,1)),flip(a),xx(b)].
% 0.44/0.98 11 $F # answer(cls_conjecture_3). [back_rewrite(7),rewrite([10(4)]),flip(a),unit_del(a,6)].
% 0.44/0.98
% 0.44/0.98 % SZS output end Refutation
% 0.44/0.98 ============================== end of proof ==========================
% 0.44/0.98
% 0.44/0.98 ============================== STATISTICS ============================
% 0.44/0.98
% 0.44/0.98 Given=6. Generated=16. Kept=9. proofs=1.
% 0.44/0.98 Usable=5. Sos=2. Demods=3. Limbo=1, Disabled=5. Hints=0.
% 0.44/0.98 Megabytes=0.03.
% 0.44/0.98 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.44/0.98
% 0.44/0.98 ============================== end of statistics =====================
% 0.44/0.98
% 0.44/0.98 ============================== end of search =========================
% 0.44/0.98
% 0.44/0.98 THEOREM PROVED
% 0.44/0.98 % SZS status Unsatisfiable
% 0.44/0.98
% 0.44/0.98 Exiting with 1 proof.
% 0.44/0.98
% 0.44/0.98 Process 13726 exit (max_proofs) Mon Jul 11 09:48:14 2022
% 0.44/0.98 Prover9 interrupted
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