TSTP Solution File: MSC008-1.002 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% 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 : 300s
% DateTime : Mon May 22 16:35:07 EDT 2023
% Result : Unsatisfiable 6.26s 6.56s
% Output : Refutation 6.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n018.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 : 300
% 0.13/0.33 % DateTime : Mon May 22 16:50:47 EDT 2023
% 0.13/0.33 % CPUTime :
% 6.26/6.56 ============================== Prover9 ===============================
% 6.26/6.56 Prover9 (32) version 2009-11A, November 2009.
% 6.26/6.56 Process 363 was started by sandbox on n018.cluster.edu,
% 6.26/6.56 Mon May 22 16:50:47 2023
% 6.26/6.56 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_32589_n018.cluster.edu".
% 6.26/6.56 ============================== end of head ===========================
% 6.26/6.56
% 6.26/6.56 ============================== INPUT =================================
% 6.26/6.56
% 6.26/6.56 % Reading from file /tmp/Prover9_32589_n018.cluster.edu
% 6.26/6.56
% 6.26/6.56 set(prolog_style_variables).
% 6.26/6.56 set(auto2).
% 6.26/6.56 % set(auto2) -> set(auto).
% 6.26/6.56 % set(auto) -> set(auto_inference).
% 6.26/6.56 % set(auto) -> set(auto_setup).
% 6.26/6.56 % set(auto_setup) -> set(predicate_elim).
% 6.26/6.56 % set(auto_setup) -> assign(eq_defs, unfold).
% 6.26/6.56 % set(auto) -> set(auto_limits).
% 6.26/6.56 % set(auto_limits) -> assign(max_weight, "100.000").
% 6.26/6.56 % set(auto_limits) -> assign(sos_limit, 20000).
% 6.26/6.56 % set(auto) -> set(auto_denials).
% 6.26/6.56 % set(auto) -> set(auto_process).
% 6.26/6.56 % set(auto2) -> assign(new_constants, 1).
% 6.26/6.56 % set(auto2) -> assign(fold_denial_max, 3).
% 6.26/6.56 % set(auto2) -> assign(max_weight, "200.000").
% 6.26/6.56 % set(auto2) -> assign(max_hours, 1).
% 6.26/6.56 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 6.26/6.56 % set(auto2) -> assign(max_seconds, 0).
% 6.26/6.56 % set(auto2) -> assign(max_minutes, 5).
% 6.26/6.56 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 6.26/6.56 % set(auto2) -> set(sort_initial_sos).
% 6.26/6.56 % set(auto2) -> assign(sos_limit, -1).
% 6.26/6.56 % set(auto2) -> assign(lrs_ticks, 3000).
% 6.26/6.56 % set(auto2) -> assign(max_megs, 400).
% 6.26/6.56 % set(auto2) -> assign(stats, some).
% 6.26/6.56 % set(auto2) -> clear(echo_input).
% 6.26/6.56 % set(auto2) -> set(quiet).
% 6.26/6.56 % set(auto2) -> clear(print_initial_clauses).
% 6.26/6.56 % set(auto2) -> clear(print_given).
% 6.26/6.56 assign(lrs_ticks,-1).
% 6.26/6.56 assign(sos_limit,10000).
% 6.26/6.56 assign(order,kbo).
% 6.26/6.56 set(lex_order_vars).
% 6.26/6.56 clear(print_given).
% 6.26/6.56
% 6.26/6.56 % formulas(sos). % not echoed (17 formulas)
% 6.26/6.56
% 6.26/6.56 ============================== end of input ==========================
% 6.26/6.56
% 6.26/6.56 % From the command line: assign(max_seconds, 300).
% 6.26/6.56
% 6.26/6.56 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 6.26/6.56
% 6.26/6.56 % Formulas that are not ordinary clauses:
% 6.26/6.56
% 6.26/6.56 ============================== end of process non-clausal formulas ===
% 6.26/6.56
% 6.26/6.56 ============================== PROCESS INITIAL CLAUSES ===============
% 6.26/6.56
% 6.26/6.56 ============================== PREDICATE ELIMINATION =================
% 6.26/6.56
% 6.26/6.56 ============================== end predicate elimination =============
% 6.26/6.56
% 6.26/6.56 Auto_denials: (non-Horn, no changes).
% 6.26/6.56
% 6.26/6.56 Term ordering decisions:
% 6.26/6.56 Function symbol KB weights: p_1=1. p_2=1.
% 6.26/6.56
% 6.26/6.56 ============================== end of process initial clauses ========
% 6.26/6.56
% 6.26/6.56 ============================== CLAUSES FOR SEARCH ====================
% 6.26/6.56
% 6.26/6.56 ============================== end of clauses for search =============
% 6.26/6.56
% 6.26/6.56 ============================== SEARCH ================================
% 6.26/6.56
% 6.26/6.56 % Starting search at 0.01 seconds.
% 6.26/6.56
% 6.26/6.56 Low Water (keep): wt=25.000, iters=3345
% 6.26/6.56
% 6.26/6.56 Low Water (keep): wt=22.000, iters=3346
% 6.26/6.56
% 6.26/6.56 Low Water (keep): wt=19.000, iters=3349
% 6.26/6.56
% 6.26/6.56 Low Water (keep): wt=17.000, iters=3358
% 6.26/6.56
% 6.26/6.56 Low Water (keep): wt=16.000, iters=3338
% 6.26/6.56
% 6.26/6.56 Low Water (keep): wt=15.000, iters=3346
% 6.26/6.56
% 6.26/6.56 Low Water (keep): wt=14.000, iters=3338
% 6.26/6.56
% 6.26/6.56 ============================== PROOF =================================
% 6.26/6.56 % SZS status Unsatisfiable
% 6.26/6.56 % SZS output start Refutation
% 6.26/6.56
% 6.26/6.56 % Proof 1 at 5.40 (+ 0.16) seconds.
% 6.26/6.56 % Length of proof is 78.
% 6.26/6.56 % Level of proof is 12.
% 6.26/6.56 % Maximum clause weight is 22.000.
% 6.26/6.56 % Given clauses 1430.
% 6.26/6.56
% 6.26/6.56 2 latin(A,B,p_1) | latin(A,B,p_2) # label(latin_cell_element) # label(axiom). [assumption].
% 6.26/6.56 3 latin(A,p_1,B) | latin(A,p_2,B) # label(latin_column_required) # label(axiom). [assumption].
% 6.26/6.56 4 latin(p_1,A,B) | latin(p_2,A,B) # label(latin_row_required) # label(axiom). [assumption].
% 6.26/6.56 5 greek(A,B,p_1) | greek(A,B,p_2) # label(greek_cell_element) # label(axiom). [assumption].
% 6.26/6.56 6 greek(A,p_1,B) | greek(A,p_2,B) # label(greek_column_required) # label(axiom). [assumption].
% 6.26/6.56 7 greek(p_1,A,B) | greek(p_2,A,B) # label(greek_row_required) # label(axiom). [assumption].
% 6.26/6.56 8 -eq(p_1,p_2) # label(p_1_is_not_p_2) # label(axiom). [assumption].
% 6.26/6.56 9 -eq(A,B) | eq(B,A) # label(symmetry) # label(axiom). [assumption].
% 6.26/6.56 10 -latin(A,B,C) | -latin(A,B,D) | eq(C,D) # label(latin_element_is_unique) # label(axiom). [assumption].
% 6.26/6.56 11 -latin(A,B,C) | -latin(A,D,C) | eq(B,D) # label(latin_column_is_unique) # label(axiom). [assumption].
% 6.26/6.56 12 -latin(A,B,C) | -latin(D,B,C) | eq(A,D) # label(latin_row_is_unique) # label(axiom). [assumption].
% 6.26/6.56 13 -greek(A,B,C) | -greek(A,B,D) | eq(C,D) # label(greek_element_is_unique) # label(axiom). [assumption].
% 6.26/6.56 14 -greek(A,B,C) | -greek(A,D,C) | eq(B,D) # label(greek_column_is_unique) # label(axiom). [assumption].
% 6.26/6.56 15 -greek(A,B,C) | -greek(D,B,C) | eq(A,D) # label(greek_row_is_unique) # label(axiom). [assumption].
% 6.26/6.56 16 -greek(A,B,C) | -latin(A,B,D) | -greek(E,F,C) | -latin(E,F,D) | eq(B,F) # label(no_two_same1) # label(negated_conjecture). [assumption].
% 6.26/6.56 17 -greek(A,B,C) | -latin(A,B,D) | -greek(E,F,C) | -latin(E,F,D) | eq(A,E) # label(no_two_same2) # label(negated_conjecture). [assumption].
% 6.26/6.56 18 -eq(p_2,p_1). [ur(9,b,8,a)].
% 6.26/6.56 19 -latin(p_2,A,B) | eq(C,B) | latin(p_1,A,C). [resolve(10,a,4,b)].
% 6.26/6.56 23 -latin(A,p_2,B) | eq(B,C) | latin(A,p_1,C). [resolve(10,b,3,b)].
% 6.26/6.56 25 -latin(p_2,A,B) | eq(C,A) | latin(p_1,C,B). [resolve(11,a,4,b)].
% 6.26/6.56 30 -latin(A,B,p_2) | eq(B,C) | latin(A,C,p_1). [resolve(11,b,2,b)].
% 6.26/6.56 32 -latin(A,p_2,B) | eq(C,A) | latin(C,p_1,B). [resolve(12,a,3,b)].
% 6.26/6.56 37 -greek(p_2,A,B) | eq(C,B) | greek(p_1,A,C). [resolve(13,a,7,b)].
% 6.26/6.56 38 -greek(A,p_2,B) | eq(C,B) | greek(A,p_1,C). [resolve(13,a,6,b)].
% 6.26/6.56 40 -greek(p_2,A,B) | eq(B,C) | greek(p_1,A,C). [resolve(13,b,7,b)].
% 6.26/6.56 43 -greek(p_2,A,B) | eq(C,A) | greek(p_1,C,B). [resolve(14,a,7,b)].
% 6.26/6.56 45 -greek(A,B,p_2) | eq(C,B) | greek(A,C,p_1). [resolve(14,a,5,b)].
% 6.26/6.56 48 -greek(A,B,p_2) | eq(B,C) | greek(A,C,p_1). [resolve(14,b,5,b)].
% 6.26/6.56 55 -greek(p_2,A,B) | -greek(C,D,B) | -latin(C,D,E) | eq(A,D) | latin(p_1,A,E). [resolve(16,b,4,b)].
% 6.26/6.56 58 -greek(A,B,C) | -latin(A,B,D) | -greek(p_2,E,C) | eq(B,E) | latin(p_1,E,D). [resolve(16,d,4,b)].
% 6.26/6.56 59 -greek(A,B,C) | -latin(A,B,D) | -greek(E,p_2,C) | eq(B,p_2) | latin(E,p_1,D). [resolve(16,d,3,b)].
% 6.26/6.56 67 eq(A,B) | latin(p_1,C,A) | latin(p_1,C,B). [resolve(19,a,4,b)].
% 6.26/6.56 76 eq(A,p_2) | latin(p_1,A,B) | latin(p_2,p_1,B). [resolve(25,a,3,b)].
% 6.26/6.56 85 eq(A,p_2) | latin(A,p_1,B) | latin(p_1,p_2,B). [resolve(32,a,4,b)].
% 6.26/6.56 91 eq(A,B) | greek(p_1,C,A) | greek(p_1,C,B). [resolve(37,a,7,b)].
% 6.26/6.56 96 eq(A,p_2) | greek(B,p_1,A) | greek(B,p_2,p_1). [resolve(38,a,5,b)].
% 6.26/6.56 100 eq(A,p_2) | greek(p_1,A,B) | greek(p_2,p_1,B). [resolve(43,a,6,b)].
% 6.26/6.56 106 eq(A,B) | greek(C,A,p_1) | greek(C,B,p_1). [resolve(45,a,5,b)].
% 6.26/6.56 118 eq(A,B) | latin(p_1,p_2,B) | eq(C,p_1) | latin(C,p_1,A). [resolve(67,b,32,a)].
% 6.26/6.56 160 eq(A,p_1) | latin(p_1,p_2,p_1) | latin(A,p_1,A). [factor(118,a,c)].
% 6.26/6.56 245 -greek(p_2,A,B) | -greek(C,p_2,B) | eq(A,p_2) | latin(p_1,A,D) | latin(C,p_1,D). [resolve(55,c,3,b)].
% 6.26/6.56 938 eq(A,p_2) | latin(p_1,A,p_2) | eq(p_1,B) | latin(p_2,B,p_1). [resolve(76,c,30,a)].
% 6.26/6.56 959 latin(p_1,p_1,p_2) | latin(p_2,p_2,p_1). [factor(938,a,c),unit_del(a,8)].
% 6.26/6.56 966 latin(p_1,p_1,p_2) | eq(p_1,A) | latin(p_2,p_1,A). [resolve(959,b,23,a)].
% 6.26/6.56 1529 eq(A,p_2) | latin(p_1,p_2,B) | -greek(A,p_1,C) | -greek(p_2,D,C) | eq(p_1,D) | latin(p_1,D,B). [resolve(85,b,58,b)].
% 6.26/6.56 1563 latin(p_1,p_2,A) | -greek(p_1,p_1,B) | -greek(p_2,p_2,B). [factor(1529,a,e),merge(e),unit_del(a,8)].
% 6.26/6.56 1937 eq(A,B) | greek(p_1,C,A) | -greek(D,C,B) | eq(D,p_1). [resolve(91,c,15,b)].
% 6.26/6.56 1959 eq(A,p_1) | greek(p_1,B,A) | -greek(A,B,p_1). [factor(1937,a,d)].
% 6.26/6.56 2242 eq(A,p_2) | greek(p_2,p_1,A) | eq(p_1,B) | greek(p_1,p_2,B). [resolve(96,c,40,a)].
% 6.26/6.56 2250 eq(A,p_2) | greek(B,p_1,A) | -greek(B,p_2,C) | eq(p_1,C). [resolve(96,c,13,a)].
% 6.26/6.56 2256 greek(p_2,p_1,p_1) | greek(p_1,p_2,p_2). [factor(2242,a,c),unit_del(a,8)].
% 6.26/6.56 2260 greek(A,p_1,p_1) | -greek(A,p_2,p_2). [factor(2250,a,d),unit_del(a,8)].
% 6.26/6.56 2262 greek(p_1,p_2,p_2) | eq(A,p_1) | greek(p_1,A,p_1). [resolve(2256,a,43,a)].
% 6.26/6.56 2378 eq(A,p_2) | greek(p_1,A,p_2) | eq(p_1,B) | greek(p_2,B,p_1). [resolve(100,c,48,a)].
% 6.26/6.56 2390 greek(p_1,p_1,p_2) | greek(p_2,p_2,p_1). [factor(2378,a,c),unit_del(a,8)].
% 6.26/6.56 2397 greek(p_1,p_1,p_2) | eq(A,p_1) | greek(p_2,p_1,A). [resolve(2390,b,38,a)].
% 6.26/6.56 2943 eq(A,p_1) | latin(A,p_1,A) | -latin(p_1,B,p_1) | eq(p_2,B). [resolve(160,b,11,a)].
% 6.26/6.56 2959 latin(p_2,p_1,p_2) | -latin(p_1,p_1,p_1). [factor(2943,a,d),unit_del(a,18)].
% 6.26/6.56 7369 eq(p_1,A) | latin(p_2,p_1,A) | -greek(p_1,p_1,B) | -greek(C,p_2,B) | latin(C,p_1,p_2). [resolve(966,a,59,b),unit_del(e,8)].
% 6.26/6.56 7379 latin(p_2,p_1,p_2) | -greek(p_1,p_1,A) | -greek(p_2,p_2,A). [factor(7369,b,e),unit_del(a,8)].
% 6.26/6.56 8334 -greek(A,p_2,p_1) | latin(p_1,p_1,B) | latin(A,p_1,B) | greek(p_1,p_2,p_2). [resolve(245,a,2256,a),unit_del(b,8)].
% 6.26/6.56 8336 -greek(p_1,p_2,p_1) | latin(p_1,p_1,A) | greek(p_1,p_2,p_2). [factor(8334,b,c)].
% 6.26/6.56 9143 eq(A,p_1) | greek(p_1,B,A) | eq(C,B) | greek(A,C,p_1). [resolve(1959,c,106,c)].
% 6.26/6.56 9151 eq(A,p_1) | greek(p_1,p_1,A) | greek(A,A,p_1). [factor(9143,a,c)].
% 6.26/6.56 10350 eq(A,p_1) | greek(p_2,p_1,A) | -greek(p_1,B,p_2) | eq(B,p_1). [resolve(2397,a,14,b)].
% 6.26/6.56 10360 eq(A,p_1) | greek(p_2,p_1,A) | -greek(p_1,A,p_2). [factor(10350,a,d)].
% 6.26/6.56 11411 latin(p_1,p_2,A) | -greek(p_1,p_1,p_1) | greek(p_1,p_1,p_2). [resolve(1563,c,9151,c),unit_del(c,18)].
% 6.26/6.56 11431 latin(p_2,p_1,p_2) | -greek(p_1,p_1,p_1) | greek(p_1,p_1,p_2). [resolve(7379,c,9151,c),unit_del(c,18)].
% 6.26/6.56 11440 latin(p_1,p_1,A) | greek(p_1,p_2,p_2). [resolve(8336,a,2262,c),merge(c),unit_del(c,18)].
% 6.26/6.56 11469 greek(p_1,p_2,p_2) | latin(p_2,p_1,p_2). [resolve(11440,a,2959,b)].
% 6.26/6.56 11484 greek(p_1,p_2,p_2) | -latin(A,p_1,B) | eq(A,p_1). [resolve(11440,a,12,b)].
% 6.26/6.56 11524 greek(p_1,p_2,p_2). [resolve(11484,b,11469,b),merge(c),unit_del(b,18)].
% 6.26/6.56 11552 greek(p_2,p_1,p_2). [resolve(11524,a,10360,c),unit_del(a,18)].
% 6.26/6.56 11553 greek(p_1,p_1,p_1). [resolve(11524,a,2260,b)].
% 6.26/6.56 11584 -greek(p_1,p_1,p_2). [ur(14,b,11524,a,c,8,a)].
% 6.26/6.56 11586 latin(p_2,p_1,p_2). [back_unit_del(11431),unit_del(b,11553),unit_del(c,11584)].
% 6.26/6.56 11588 latin(p_1,p_2,A). [back_unit_del(11411),unit_del(b,11553),unit_del(c,11584)].
% 6.26/6.56 11982 $F. [ur(17,a,11524,a,c,11552,a,d,11586,a,e,8,a),unit_del(a,11588)].
% 6.26/6.56
% 6.26/6.56 % SZS output end Refutation
% 6.26/6.56 ============================== end of proof ==========================
% 6.26/6.56
% 6.26/6.56 ============================== STATISTICS ============================
% 6.26/6.56
% 6.26/6.56 Given=1430. Generated=273856. Kept=11981. proofs=1.
% 6.26/6.56 Usable=361. Sos=2389. Demods=0. Limbo=18, Disabled=9230. Hints=0.
% 6.26/6.56 Megabytes=6.26.
% 6.26/6.56 User_CPU=5.40, System_CPU=0.16, Wall_clock=6.
% 6.26/6.56
% 6.26/6.56 ============================== end of statistics =====================
% 6.26/6.56
% 6.26/6.56 ============================== end of search =========================
% 6.26/6.56
% 6.26/6.56 THEOREM PROVED
% 6.26/6.56 % SZS status Unsatisfiable
% 6.26/6.56
% 6.26/6.56 Exiting with 1 proof.
% 6.26/6.56
% 6.26/6.56 Process 363 exit (max_proofs) Mon May 22 16:50:53 2023
% 6.26/6.56 Prover9 interrupted
%------------------------------------------------------------------------------