TSTP Solution File: LAT005-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT005-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n007.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 : Sun Jul 17 06:25:02 EDT 2022
% Result : Unsatisfiable 0.98s 1.29s
% Output : Refutation 0.98s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT005-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 30 11:05:23 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.98/1.29 ============================== Prover9 ===============================
% 0.98/1.29 Prover9 (32) version 2009-11A, November 2009.
% 0.98/1.29 Process 19820 was started by sandbox on n007.cluster.edu,
% 0.98/1.29 Thu Jun 30 11:05:24 2022
% 0.98/1.29 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_19665_n007.cluster.edu".
% 0.98/1.29 ============================== end of head ===========================
% 0.98/1.29
% 0.98/1.29 ============================== INPUT =================================
% 0.98/1.29
% 0.98/1.29 % Reading from file /tmp/Prover9_19665_n007.cluster.edu
% 0.98/1.29
% 0.98/1.29 set(prolog_style_variables).
% 0.98/1.29 set(auto2).
% 0.98/1.29 % set(auto2) -> set(auto).
% 0.98/1.29 % set(auto) -> set(auto_inference).
% 0.98/1.29 % set(auto) -> set(auto_setup).
% 0.98/1.29 % set(auto_setup) -> set(predicate_elim).
% 0.98/1.29 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.98/1.29 % set(auto) -> set(auto_limits).
% 0.98/1.29 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.98/1.29 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.98/1.29 % set(auto) -> set(auto_denials).
% 0.98/1.29 % set(auto) -> set(auto_process).
% 0.98/1.29 % set(auto2) -> assign(new_constants, 1).
% 0.98/1.29 % set(auto2) -> assign(fold_denial_max, 3).
% 0.98/1.29 % set(auto2) -> assign(max_weight, "200.000").
% 0.98/1.29 % set(auto2) -> assign(max_hours, 1).
% 0.98/1.29 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.98/1.29 % set(auto2) -> assign(max_seconds, 0).
% 0.98/1.29 % set(auto2) -> assign(max_minutes, 5).
% 0.98/1.29 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.98/1.29 % set(auto2) -> set(sort_initial_sos).
% 0.98/1.29 % set(auto2) -> assign(sos_limit, -1).
% 0.98/1.29 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.98/1.29 % set(auto2) -> assign(max_megs, 400).
% 0.98/1.29 % set(auto2) -> assign(stats, some).
% 0.98/1.29 % set(auto2) -> clear(echo_input).
% 0.98/1.29 % set(auto2) -> set(quiet).
% 0.98/1.29 % set(auto2) -> clear(print_initial_clauses).
% 0.98/1.29 % set(auto2) -> clear(print_given).
% 0.98/1.29 assign(lrs_ticks,-1).
% 0.98/1.29 assign(sos_limit,10000).
% 0.98/1.29 assign(order,kbo).
% 0.98/1.29 set(lex_order_vars).
% 0.98/1.29 clear(print_given).
% 0.98/1.29
% 0.98/1.29 % formulas(sos). % not echoed (31 formulas)
% 0.98/1.29
% 0.98/1.29 ============================== end of input ==========================
% 0.98/1.29
% 0.98/1.29 % From the command line: assign(max_seconds, 300).
% 0.98/1.29
% 0.98/1.29 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.98/1.29
% 0.98/1.29 % Formulas that are not ordinary clauses:
% 0.98/1.29
% 0.98/1.29 ============================== end of process non-clausal formulas ===
% 0.98/1.29
% 0.98/1.29 ============================== PROCESS INITIAL CLAUSES ===============
% 0.98/1.29
% 0.98/1.29 ============================== PREDICATE ELIMINATION =================
% 0.98/1.29
% 0.98/1.29 ============================== end predicate elimination =============
% 0.98/1.29
% 0.98/1.29 Auto_denials:
% 0.98/1.29 % copying label meet_a2_and_b2 to answer in negative clause
% 0.98/1.29
% 0.98/1.29 Term ordering decisions:
% 0.98/1.29 Function symbol KB weights: n0=1. n1=1. r1=1. r2=1. a=1. b=1. c=1. c2=1. d=1. e=1. a2=1. b2=1.
% 0.98/1.29
% 0.98/1.29 ============================== end of process initial clauses ========
% 0.98/1.29
% 0.98/1.29 ============================== CLAUSES FOR SEARCH ====================
% 0.98/1.29
% 0.98/1.29 ============================== end of clauses for search =============
% 0.98/1.29
% 0.98/1.29 ============================== SEARCH ================================
% 0.98/1.29
% 0.98/1.29 % Starting search at 0.01 seconds.
% 0.98/1.29
% 0.98/1.29 ============================== PROOF =================================
% 0.98/1.29 % SZS status Unsatisfiable
% 0.98/1.29 % SZS output start Refutation
% 0.98/1.29
% 0.98/1.29 % Proof 1 at 0.31 (+ 0.01) seconds: meet_a2_and_b2.
% 0.98/1.29 % Length of proof is 35.
% 0.98/1.29 % Level of proof is 5.
% 0.98/1.29 % Maximum clause weight is 20.000.
% 0.98/1.29 % Given clauses 204.
% 0.98/1.29
% 0.98/1.29 5 join(A,n0,A) # label(join_x_and_0) # label(axiom). [assumption].
% 0.98/1.29 7 meet(A,n0,n0) # label(meet_x_and_0) # label(axiom). [assumption].
% 0.98/1.29 8 meet(A,A,A) # label(meet_x_and_x) # label(axiom). [assumption].
% 0.98/1.29 11 meet(a,b,c) # label(meet_a_and_b) # label(negated_conjecture). [assumption].
% 0.98/1.29 13 meet(c,r2,n0) # label(meet_c_and_r2) # label(negated_conjecture). [assumption].
% 0.98/1.29 14 meet(r2,b,e) # label(meet_r2_and_b) # label(negated_conjecture). [assumption].
% 0.98/1.29 15 join(a,b,c2) # label(join_a_and_b) # label(negated_conjecture). [assumption].
% 0.98/1.29 17 meet(c2,r1,n0) # label(meet_c2_and_r1) # label(negated_conjecture). [assumption].
% 0.98/1.29 18 meet(r2,a,d) # label(meet_r2_and_a) # label(negated_conjecture). [assumption].
% 0.98/1.29 19 join(r1,e,a2) # label(join_r1_and_e) # label(negated_conjecture). [assumption].
% 0.98/1.29 20 join(r1,d,b2) # label(join_r1_and_d) # label(negated_conjecture). [assumption].
% 0.98/1.29 21 -meet(a2,b2,r1) # label(meet_a2_and_b2) # label(negated_conjecture) # answer(meet_a2_and_b2). [assumption].
% 0.98/1.29 22 -meet(A,B,C) | meet(B,A,C) # label(commutativity_of_meet) # label(axiom). [assumption].
% 0.98/1.29 23 -join(A,B,C) | join(B,A,C) # label(commutativity_of_join) # label(axiom). [assumption].
% 0.98/1.29 25 -join(A,B,C) | meet(A,C,A) # label(absorbtion2) # label(axiom). [assumption].
% 0.98/1.29 26 -meet(A,B,C) | -meet(B,D,E) | -meet(A,E,F) | meet(C,D,F) # label(associativity_of_meet1) # label(axiom). [assumption].
% 0.98/1.29 27 -meet(A,B,C) | -meet(B,D,E) | -meet(C,D,F) | meet(A,E,F) # label(associativity_of_meet2) # label(axiom). [assumption].
% 0.98/1.29 31 -meet(A,B,A) | -join(A,C,D) | -meet(C,B,E) | -join(A,E,F) | meet(B,D,F) # label(modularity2) # label(axiom). [assumption].
% 0.98/1.29 32 -meet(b2,a2,r1) # answer(meet_a2_and_b2). [resolve(22,b,21,a)].
% 0.98/1.29 33 meet(a,r2,d). [ur(22,a,18,a)].
% 0.98/1.29 34 meet(r1,c2,n0). [ur(22,a,17,a)].
% 0.98/1.29 37 meet(b,a,c). [ur(22,a,11,a)].
% 0.98/1.29 38 join(d,r1,b2). [ur(23,a,20,a)].
% 0.98/1.29 41 join(b,a,c2). [ur(23,a,15,a)].
% 0.98/1.29 46 meet(r1,b2,r1). [ur(25,a,20,a)].
% 0.98/1.29 48 meet(a,c2,a). [ur(25,a,15,a)].
% 0.98/1.29 51 meet(e,b,e). [ur(26,a,14,a,b,8,a,c,14,a)].
% 0.98/1.29 133 meet(b,d,n0). [ur(27,a,37,a,b,33,a,c,13,a)].
% 0.98/1.29 183 meet(b,c2,b). [ur(25,a,41,a)].
% 0.98/1.29 231 -meet(e,b2,n0) # answer(meet_a2_and_b2). [ur(31,a,46,a,b,19,a,d,5,a,e,32,a)].
% 0.98/1.29 279 meet(d,c2,d). [ur(26,a,18,a,b,48,a,c,18,a)].
% 0.98/1.29 359 -meet(b,b2,n0) # answer(meet_a2_and_b2). [ur(26,a,51,a,c,7,a,d,231,a)].
% 0.98/1.29 1368 meet(c2,b2,d). [ur(31,a,279,a,b,38,a,c,34,a,d,5,a)].
% 0.98/1.29 2006 -meet(c2,b2,d) # answer(meet_a2_and_b2). [ur(26,a,183,a,c,133,a,d,359,a)].
% 0.98/1.29 2007 $F # answer(meet_a2_and_b2). [resolve(2006,a,1368,a)].
% 0.98/1.29
% 0.98/1.29 % SZS output end Refutation
% 0.98/1.29 ============================== end of proof ==========================
% 0.98/1.29
% 0.98/1.29 ============================== STATISTICS ============================
% 0.98/1.29
% 0.98/1.29 Given=204. Generated=10687. Kept=2006. proofs=1.
% 0.98/1.29 Usable=187. Sos=1430. Demods=0. Limbo=5, Disabled=414. Hints=0.
% 0.98/1.29 Megabytes=1.16.
% 0.98/1.29 User_CPU=0.31, System_CPU=0.01, Wall_clock=0.
% 0.98/1.29
% 0.98/1.29 ============================== end of statistics =====================
% 0.98/1.29
% 0.98/1.29 ============================== end of search =========================
% 0.98/1.29
% 0.98/1.29 THEOREM PROVED
% 0.98/1.29 % SZS status Unsatisfiable
% 0.98/1.29
% 0.98/1.29 Exiting with 1 proof.
% 0.98/1.29
% 0.98/1.29 Process 19820 exit (max_proofs) Thu Jun 30 11:05:24 2022
% 0.98/1.29 Prover9 interrupted
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