%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : ROB010-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n015.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 Jun 24 14:10:24 EDT 2024
% Result : Unsatisfiable 61.06s 61.28s
% Output : CNFRefutation 61.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : ROB010-1 : TPTP v8.2.0. Released v1.0.0.
% 0.05/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31 % Computer : n015.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Jun 19 18:39:09 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.51 start to proof:theBenchmark
% 60.97/61.27 %-------------------------------------------
% 60.97/61.27 % File :CSE---1.7
% 60.97/61.27 % Problem :theBenchmark
% 60.97/61.27 % Transform :cnf
% 60.97/61.27 % Format :tptp:raw
% 60.97/61.27 % Command :java -jar mcs_scs.jar %d %s
% 60.97/61.27
% 60.97/61.27 % Result :Theorem 60.550000s
% 60.97/61.27 % Output :CNFRefutation 60.550000s
% 60.97/61.27 %-------------------------------------------
% 61.05/61.28 %--------------------------------------------------------------------------
% 61.05/61.28 % File : ROB010-1 : TPTP v8.2.0. Released v1.0.0.
% 61.05/61.28 % Domain : Robbins Algebra
% 61.05/61.28 % Problem : If -(a + -b) = c then -(c + -(b + a)) = a
% 61.05/61.28 % Version : [Win90] (equality) axioms.
% 61.05/61.28 % English :
% 61.05/61.28
% 61.05/61.28 % Refs : [Win90] Winker (1990), Robbins Algebra: Conditions that make a
% 61.05/61.28 % : [LW92] Lusk & Wos (1992), Benchmark Problems in Which Equalit
% 61.05/61.28 % Source : [Win90]
% 61.05/61.28 % Names : Lemma 3.3 [Win90]
% 61.05/61.28 % : RA2 [LW92]
% 61.05/61.28
% 61.05/61.28 % Status : Unsatisfiable
% 61.05/61.28 % Rating : 0.00 v7.4.0, 0.04 v7.3.0, 0.00 v6.0.0, 0.05 v5.5.0, 0.00 v5.1.0, 0.07 v4.1.0, 0.09 v4.0.1, 0.07 v4.0.0, 0.08 v3.7.0, 0.00 v2.0.0
% 61.05/61.28 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 2 RR)
% 61.05/61.28 % Number of literals : 5 ( 5 equ; 1 neg)
% 61.05/61.28 % Maximal clause size : 1 ( 1 avg)
% 61.05/61.28 % Maximal term depth : 6 ( 2 avg)
% 61.05/61.28 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 61.05/61.28 % Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% 61.05/61.28 % Number of variables : 7 ( 0 sgn)
% 61.05/61.28 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 61.06/61.28
% 61.06/61.28 % Comments :
% 61.06/61.28 %--------------------------------------------------------------------------
% 61.06/61.28 %----Include axioms for Robbins algebra
% 61.06/61.28 include('Axioms/ROB001-0.ax').
% 61.06/61.28 %--------------------------------------------------------------------------
% 61.06/61.28 cnf(condition,hypothesis,
% 61.06/61.28 negate(add(a,negate(b))) = c ).
% 61.06/61.28
% 61.06/61.28 cnf(prove_result,negated_conjecture,
% 61.06/61.28 negate(add(c,negate(add(b,a)))) != a ).
% 61.06/61.28
% 61.06/61.28 %--------------------------------------------------------------------------
% 61.06/61.28 %-------------------------------------------
% 61.06/61.28 % Proof found
% 61.06/61.28 % SZS status Theorem for theBenchmark
% 61.06/61.28 % SZS output start Proof
% 61.06/61.30 %ClaNum:11(EqnAxiom:6)
% 61.06/61.30 %VarNum:15(SingletonVarNum:7)
% 61.06/61.30 %MaxLitNum:1
% 61.06/61.30 %MaxfuncDepth:5
% 61.06/61.30 %SharedTerms:12
% 61.06/61.30 %goalClause: 11
% 61.06/61.30 %singleGoalClaCount:1
% 61.06/61.30 [8]E(f4(f1(a2,f4(a3))),a5)
% 61.06/61.30 [11]~E(f4(f1(a5,f4(f1(a3,a2)))),a2)
% 61.06/61.30 [7]E(f1(x71,x72),f1(x72,x71))
% 61.06/61.30 [10]E(f4(f1(f4(f1(x101,x102)),f4(f1(x101,f4(x102))))),x101)
% 61.06/61.30 [9]E(f1(f1(x91,x92),x93),f1(x91,f1(x92,x93)))
% 61.06/61.30 %EqnAxiom
% 61.06/61.30 [1]E(x11,x11)
% 61.06/61.30 [2]E(x22,x21)+~E(x21,x22)
% 61.06/61.30 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 61.06/61.30 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 61.06/61.30 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 61.06/61.30 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 61.06/61.30
% 61.06/61.30 %-------------------------------------------
% 61.09/61.31 cnf(12,plain,
% 61.09/61.31 (E(f1(x121,f1(x122,x123)),f1(f1(x121,x122),x123))),
% 61.09/61.31 inference(scs_inference,[],[9,2])).
% 61.09/61.31 cnf(13,plain,
% 61.09/61.31 (E(f1(x131,f1(x132,x133)),f1(x132,f1(x133,x131)))),
% 61.09/61.31 inference(scs_inference,[],[7,9,2,3])).
% 61.09/61.31 cnf(16,plain,
% 61.09/61.31 (E(f1(x161,f1(x162,x163)),f1(x163,f1(x161,x162)))),
% 61.09/61.31 inference(scs_inference,[],[13,2])).
% 61.09/61.31 cnf(17,plain,
% 61.09/61.31 (E(a5,f4(f1(a2,f4(a3))))),
% 61.09/61.31 inference(scs_inference,[],[8,2])).
% 61.09/61.31 cnf(18,plain,
% 61.09/61.31 (E(f1(x181,f1(x182,x183)),f1(f1(x183,x181),x182))),
% 61.09/61.31 inference(scs_inference,[],[12,16,8,2,3])).
% 61.09/61.31 cnf(20,plain,
% 61.09/61.31 (E(f1(f1(x201,x202),x203),f1(x202,f1(x203,x201)))),
% 61.09/61.31 inference(scs_inference,[],[18,2])).
% 61.09/61.31 cnf(112,plain,
% 61.09/61.31 (E(f1(f1(x1121,x1122),x1123),f1(f1(x1123,x1121),x1122))),
% 61.09/61.31 inference(scs_inference,[],[7,12,3])).
% 61.09/61.31 cnf(138,plain,
% 61.09/61.31 (E(f1(x1381,f1(f1(x1382,x1383),x1384)),f1(f1(f1(x1384,x1381),x1382),x1383))),
% 61.09/61.31 inference(scs_inference,[],[9,20,3,2])).
% 61.09/61.31 cnf(157,plain,
% 61.09/61.31 (~E(f4(f1(a5,f4(f1(a3,a2)))),f4(f1(f4(f1(a2,x1571)),f4(f1(a2,f4(x1571))))))),
% 61.09/61.31 inference(scs_inference,[],[11,10,3])).
% 61.09/61.31 cnf(159,plain,
% 61.09/61.31 (~E(f1(a5,f4(f1(a3,a2))),f1(f4(f1(a2,x1591)),f4(f1(a2,f4(x1591)))))),
% 61.09/61.31 inference(scs_inference,[],[11,10,3,6])).
% 61.09/61.31 cnf(160,plain,
% 61.09/61.31 (~E(f1(a5,f4(f1(a3,a2))),f1(f4(f1(a2,f4(x1601))),f4(f1(a2,x1601))))),
% 61.09/61.31 inference(scs_inference,[],[159,7,3])).
% 61.09/61.31 cnf(162,plain,
% 61.09/61.31 (E(f1(f1(x1621,x1622),x1623),f1(f1(x1622,x1621),x1623))),
% 61.09/61.31 inference(scs_inference,[],[7,4])).
% 61.09/61.31 cnf(163,plain,
% 61.09/61.31 (E(f1(x1631,f1(x1632,x1633)),f1(x1631,f1(x1633,x1632)))),
% 61.09/61.31 inference(scs_inference,[],[7,4,5])).
% 61.09/61.31 cnf(164,plain,
% 61.09/61.31 (E(f4(f1(x1641,x1642)),f4(f1(x1642,x1641)))),
% 61.09/61.31 inference(scs_inference,[],[7,4,5,6])).
% 61.09/61.31 cnf(166,plain,
% 61.09/61.31 (~E(f1(f4(f1(a3,a2)),a5),f1(f4(f1(a2,f4(x1661))),f4(f1(a2,x1661))))),
% 61.09/61.31 inference(scs_inference,[],[7,160,4,5,6,2,3])).
% 61.09/61.31 cnf(171,plain,
% 61.09/61.31 (~E(f1(f4(f1(a2,f4(x1711))),f4(f1(a2,x1711))),f1(f4(f1(a3,a2)),a5))),
% 61.09/61.31 inference(scs_inference,[],[112,166,4,5,6,2])).
% 61.09/61.31 cnf(178,plain,
% 61.09/61.31 (~E(f1(f4(f1(a2,x1781)),f4(f1(a2,f4(x1781)))),f1(f4(f1(a3,a2)),a5))),
% 61.09/61.31 inference(scs_inference,[],[7,162,171,157,4,5,6,2,3])).
% 61.09/61.31 cnf(183,plain,
% 61.09/61.31 (~E(f1(f4(f1(a3,a2)),a5),f1(f4(f1(a2,x1831)),f4(f1(a2,f4(x1831)))))),
% 61.09/61.31 inference(scs_inference,[],[163,178,4,5,6,2])).
% 61.09/61.31 cnf(187,plain,
% 61.09/61.31 (E(f1(x1871,a5),f1(x1871,f4(f1(a2,f4(a3)))))),
% 61.09/61.31 inference(scs_inference,[],[17,4,5])).
% 61.09/61.31 cnf(218,plain,
% 61.09/61.32 (~E(f1(f4(f1(a2,x2181)),f4(f1(a2,f4(x2181)))),f1(f4(f1(a3,a2)),f4(f1(a2,f4(a3)))))),
% 61.09/61.32 inference(scs_inference,[],[138,187,183,4,5,6,3,2])).
% 61.09/61.32 cnf(545,plain,
% 61.09/61.32 ($false),
% 61.09/61.32 inference(scs_inference,[],[218,164,4]),
% 61.09/61.32 ['proof']).
% 61.09/61.32 % SZS output end Proof
% 61.09/61.32 % Total time :60.550000s
%------------------------------------------------------------------------------