TSTP Solution File: ROB010-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ROB010-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n032.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 : Thu Aug 31 14:07:08 EDT 2023
% Result : Unsatisfiable 1.25s 1.40s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ROB010-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Aug 28 06:57:00 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.14/0.47 start to proof:theBenchmark
% 1.25/1.39 %-------------------------------------------
% 1.25/1.39 % File :CSE---1.6
% 1.25/1.39 % Problem :theBenchmark
% 1.25/1.39 % Transform :cnf
% 1.25/1.39 % Format :tptp:raw
% 1.25/1.39 % Command :java -jar mcs_scs.jar %d %s
% 1.25/1.39
% 1.25/1.39 % Result :Theorem 0.880000s
% 1.25/1.40 % Output :CNFRefutation 0.880000s
% 1.25/1.40 %-------------------------------------------
% 1.25/1.40 %--------------------------------------------------------------------------
% 1.25/1.40 % File : ROB010-1 : TPTP v8.1.2. Released v1.0.0.
% 1.25/1.40 % Domain : Robbins Algebra
% 1.25/1.40 % Problem : If -(a + -b) = c then -(c + -(b + a)) = a
% 1.25/1.40 % Version : [Win90] (equality) axioms.
% 1.25/1.40 % English :
% 1.25/1.40
% 1.25/1.40 % Refs : [Win90] Winker (1990), Robbins Algebra: Conditions that make a
% 1.25/1.40 % : [LW92] Lusk & Wos (1992), Benchmark Problems in Which Equalit
% 1.25/1.40 % Source : [Win90]
% 1.25/1.40 % Names : Lemma 3.3 [Win90]
% 1.25/1.40 % : RA2 [LW92]
% 1.25/1.40
% 1.25/1.40 % Status : Unsatisfiable
% 1.25/1.40 % 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
% 1.25/1.40 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 2 RR)
% 1.25/1.40 % Number of literals : 5 ( 5 equ; 1 neg)
% 1.25/1.40 % Maximal clause size : 1 ( 1 avg)
% 1.25/1.40 % Maximal term depth : 6 ( 2 avg)
% 1.25/1.40 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 1.25/1.40 % Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% 1.25/1.40 % Number of variables : 7 ( 0 sgn)
% 1.25/1.40 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 1.25/1.40
% 1.25/1.40 % Comments :
% 1.25/1.40 %--------------------------------------------------------------------------
% 1.25/1.40 %----Include axioms for Robbins algebra
% 1.25/1.40 include('Axioms/ROB001-0.ax').
% 1.25/1.40 %--------------------------------------------------------------------------
% 1.25/1.40 cnf(condition,hypothesis,
% 1.25/1.40 negate(add(a,negate(b))) = c ).
% 1.25/1.40
% 1.25/1.40 cnf(prove_result,negated_conjecture,
% 1.25/1.40 negate(add(c,negate(add(b,a)))) != a ).
% 1.25/1.40
% 1.25/1.40 %--------------------------------------------------------------------------
% 1.25/1.40 %-------------------------------------------
% 1.25/1.40 % Proof found
% 1.25/1.40 % SZS status Theorem for theBenchmark
% 1.25/1.40 % SZS output start Proof
% 1.25/1.40 %ClaNum:11(EqnAxiom:6)
% 1.25/1.40 %VarNum:15(SingletonVarNum:7)
% 1.25/1.40 %MaxLitNum:1
% 1.25/1.40 %MaxfuncDepth:5
% 1.25/1.40 %SharedTerms:12
% 1.25/1.40 %goalClause: 11
% 1.25/1.40 %singleGoalClaCount:1
% 1.25/1.40 [8]E(f4(f1(a2,f4(a3))),a5)
% 1.25/1.40 [11]~E(f4(f1(a5,f4(f1(a3,a2)))),a2)
% 1.25/1.40 [7]E(f1(x71,x72),f1(x72,x71))
% 1.25/1.40 [10]E(f4(f1(f4(f1(x101,x102)),f4(f1(x101,f4(x102))))),x101)
% 1.25/1.40 [9]E(f1(f1(x91,x92),x93),f1(x91,f1(x92,x93)))
% 1.25/1.40 %EqnAxiom
% 1.25/1.40 [1]E(x11,x11)
% 1.25/1.40 [2]E(x22,x21)+~E(x21,x22)
% 1.25/1.40 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.25/1.40 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 1.25/1.40 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 1.25/1.40 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 1.25/1.40
% 1.25/1.40 %-------------------------------------------
% 1.25/1.40 cnf(13,plain,
% 1.25/1.40 (E(f1(x131,f1(x132,x133)),f1(x132,f1(x133,x131)))),
% 1.25/1.40 inference(scs_inference,[],[8,7,9,2,3])).
% 1.25/1.40 cnf(16,plain,
% 1.25/1.40 (E(f4(f4(f1(a2,f4(a3)))),f4(a5))),
% 1.25/1.40 inference(scs_inference,[],[8,7,9,2,3,6])).
% 1.25/1.40 cnf(17,plain,
% 1.25/1.40 (E(f1(x171,f4(f1(a2,f4(a3)))),f1(x171,a5))),
% 1.25/1.40 inference(scs_inference,[],[8,7,9,2,3,6,5])).
% 1.25/1.40 cnf(18,plain,
% 1.25/1.40 (E(f1(f4(f1(a2,f4(a3))),x181),f1(a5,x181))),
% 1.25/1.40 inference(scs_inference,[],[8,7,9,2,3,6,5,4])).
% 1.25/1.40 cnf(19,plain,
% 1.25/1.40 (~E(a2,f4(f1(a5,f4(f1(a3,a2)))))),
% 1.25/1.40 inference(scs_inference,[],[11,2])).
% 1.25/1.40 cnf(20,plain,
% 1.25/1.40 (E(f1(f1(x201,x202),x203),f1(f1(x202,x203),x201))),
% 1.25/1.40 inference(scs_inference,[],[11,7,9,2,3])).
% 1.25/1.40 cnf(23,plain,
% 1.25/1.40 (E(x231,f4(f1(f4(f1(x231,x232)),f4(f1(x231,f4(x232))))))),
% 1.25/1.40 inference(scs_inference,[],[10,2])).
% 1.25/1.40 cnf(24,plain,
% 1.25/1.40 (E(f4(f1(x241,f1(x242,x243))),f4(f1(x242,f1(x243,x241))))),
% 1.25/1.40 inference(scs_inference,[],[13,6])).
% 1.25/1.41 cnf(25,plain,
% 1.25/1.41 (E(f1(x251,f1(x252,f1(x253,x254))),f1(x251,f1(x253,f1(x254,x252))))),
% 1.25/1.41 inference(scs_inference,[],[13,6,5])).
% 1.25/1.41 cnf(26,plain,
% 1.25/1.41 (E(f1(f1(x261,f1(x262,x263)),x264),f1(f1(x262,f1(x263,x261)),x264))),
% 1.25/1.41 inference(scs_inference,[],[13,6,5,4])).
% 1.25/1.41 cnf(27,plain,
% 1.25/1.41 (E(f1(f1(x271,x272),x273),f1(x272,f1(x273,x271)))),
% 1.25/1.41 inference(scs_inference,[],[9,13,3])).
% 1.25/1.41 cnf(31,plain,
% 1.25/1.41 (E(f1(f1(x311,x312),x313),f1(x311,f1(x312,x313)))),
% 1.25/1.41 inference(rename_variables,[],[9])).
% 1.25/1.41 cnf(32,plain,
% 1.25/1.41 (E(f1(x321,f1(x322,x323)),f1(f1(x321,x322),x323))),
% 1.25/1.41 inference(scs_inference,[],[9,31,27,3,2])).
% 1.25/1.41 cnf(33,plain,
% 1.25/1.41 (E(f1(f4(f4(f1(a2,f4(a3)))),x331),f1(f4(a5),x331))),
% 1.25/1.41 inference(scs_inference,[],[16,4])).
% 1.25/1.41 cnf(37,plain,
% 1.25/1.41 (E(f1(x371,f4(f1(a2,f4(a3)))),f1(x371,a5))),
% 1.25/1.41 inference(rename_variables,[],[17])).
% 1.25/1.41 cnf(39,plain,
% 1.25/1.41 (E(f1(x391,a5),f1(x391,f4(f1(a2,f4(a3)))))),
% 1.25/1.41 inference(scs_inference,[],[17,37,18,3,2])).
% 1.25/1.41 cnf(45,plain,
% 1.25/1.41 (E(f4(f1(f4(f1(a2,f4(a3))),x451)),f4(f1(a5,x451)))),
% 1.25/1.41 inference(scs_inference,[],[18,5,4,6])).
% 1.25/1.41 cnf(51,plain,
% 1.25/1.41 (E(f1(x511,f4(f1(a2,f4(a3)))),f1(x511,a5))),
% 1.25/1.41 inference(rename_variables,[],[17])).
% 1.25/1.41 cnf(53,plain,
% 1.25/1.41 (E(f4(f1(x531,f4(f1(a2,f4(a3))))),f4(f1(x531,a5)))),
% 1.25/1.41 inference(scs_inference,[],[17,51,20,3,6])).
% 1.25/1.41 cnf(60,plain,
% 1.25/1.41 (E(f1(x601,f1(x602,f1(x603,x604))),f1(f1(x601,x603),f1(x604,x602)))),
% 1.25/1.41 inference(scs_inference,[],[24,25,32,5,4,6,3])).
% 1.25/1.41 cnf(62,plain,
% 1.25/1.41 (E(f1(x621,f1(x622,f1(x623,x624))),f1(f1(x623,f1(x624,x622)),x621))),
% 1.25/1.41 inference(scs_inference,[],[20,60,3])).
% 1.25/1.41 cnf(64,plain,
% 1.25/1.41 (E(f1(f1(x641,x642),x643),f1(f1(x642,x643),x641))),
% 1.25/1.41 inference(rename_variables,[],[20])).
% 1.25/1.41 cnf(65,plain,
% 1.25/1.41 (E(f1(f1(x651,x652),x653),f1(f1(x653,x651),x652))),
% 1.25/1.41 inference(scs_inference,[],[20,64,60,3,2])).
% 1.25/1.41 cnf(66,plain,
% 1.25/1.41 (~E(a2,f4(f1(f4(f1(a2,f4(a3))),f4(f1(a3,a2)))))),
% 1.25/1.41 inference(scs_inference,[],[19,45,3])).
% 1.25/1.41 cnf(69,plain,
% 1.25/1.41 (E(f1(f1(x691,f1(x692,x693)),x694),f1(f1(x693,x691),f1(x694,x692)))),
% 1.25/1.41 inference(scs_inference,[],[26,27,66,2,3])).
% 1.25/1.41 cnf(73,plain,
% 1.25/1.41 (E(f1(f1(f1(x731,f1(x732,x733)),x734),x735),f1(f1(f1(x732,f1(x733,x731)),x734),x735))),
% 1.25/1.41 inference(scs_inference,[],[26,27,66,2,3,6,5,4])).
% 1.25/1.41 cnf(81,plain,
% 1.25/1.41 (E(f1(x811,f1(x812,x813)),f1(f1(x813,x811),x812))),
% 1.25/1.41 inference(scs_inference,[],[25,27,6,5,4,2])).
% 1.25/1.41 cnf(85,plain,
% 1.25/1.41 (E(f1(f4(f4(f1(a2,f4(a3)))),f1(x851,x852)),f1(f1(f4(a5),x851),x852))),
% 1.25/1.41 inference(scs_inference,[],[33,32,3])).
% 1.25/1.41 cnf(88,plain,
% 1.25/1.41 (E(f1(f1(f1(x881,x882),x883),x884),f1(f1(x882,f1(x883,x881)),x884))),
% 1.25/1.41 inference(scs_inference,[],[27,4])).
% 1.25/1.41 cnf(90,plain,
% 1.25/1.41 (E(f1(x901,f1(f1(x902,x903),x904)),f1(x901,f1(x903,f1(x904,x902))))),
% 1.25/1.41 inference(scs_inference,[],[27,4,6,5])).
% 1.25/1.41 cnf(99,plain,
% 1.25/1.41 (E(f1(f4(f4(f1(a2,f4(a3)))),f1(f1(x991,x992),x993)),f1(f4(a5),f1(x992,f1(x993,x991))))),
% 1.25/1.41 inference(scs_inference,[],[33,39,90,5,4,6,2,3])).
% 1.25/1.41 cnf(135,plain,
% 1.25/1.41 (E(a2,f4(f1(f4(f1(a2,a3)),a5)))),
% 1.25/1.41 inference(scs_inference,[],[53,23,3])).
% 1.25/1.41 cnf(138,plain,
% 1.25/1.41 (~E(f4(f1(f4(f1(a2,a3)),a5)),f4(f1(a5,f4(f1(a3,a2)))))),
% 1.25/1.41 inference(scs_inference,[],[135,19,3])).
% 1.25/1.41 cnf(176,plain,
% 1.25/1.41 (E(f1(x1761,f1(x1762,f1(x1763,x1764))),f1(f1(f1(x1764,x1762),x1761),x1763))),
% 1.25/1.41 inference(scs_inference,[],[65,60,3])).
% 1.25/1.41 cnf(182,plain,
% 1.25/1.41 (E(f1(f1(x1821,f1(x1822,x1823)),x1824),f1(x1824,f1(x1823,f1(x1821,x1822))))),
% 1.25/1.41 inference(scs_inference,[],[62,176,5,4,6,2])).
% 1.25/1.41 cnf(186,plain,
% 1.25/1.41 (E(f1(f1(f1(x1861,f1(x1862,x1863)),x1864),x1865),f1(f1(f1(x1863,x1861),f1(x1864,x1862)),x1865))),
% 1.25/1.41 inference(scs_inference,[],[69,5,4])).
% 1.25/1.41 cnf(197,plain,
% 1.25/1.41 (E(f4(f1(f1(x1971,f1(x1972,x1973)),x1974)),f4(f1(x1974,f1(x1973,f1(x1971,x1972)))))),
% 1.25/1.41 inference(scs_inference,[],[182,5,4,6])).
% 1.25/1.41 cnf(208,plain,
% 1.25/1.41 (E(f1(f1(f1(f1(x2081,x2082),f1(x2083,x2084)),x2085),x2086),f1(f1(f1(x2081,f1(x2082,x2084)),f1(x2085,x2083)),x2086))),
% 1.25/1.41 inference(scs_inference,[],[73,186,3])).
% 1.25/1.41 cnf(222,plain,
% 1.25/1.41 (E(f1(x2221,f1(x2222,f1(x2223,x2224))),f1(x2221,f1(f1(x2224,x2222),x2223)))),
% 1.25/1.41 inference(scs_inference,[],[81,4,5])).
% 1.25/1.41 cnf(223,plain,
% 1.25/1.41 (E(f4(f1(x2231,f1(x2232,x2233))),f4(f1(f1(x2233,x2231),x2232)))),
% 1.25/1.41 inference(scs_inference,[],[81,4,5,6])).
% 1.25/1.41 cnf(230,plain,
% 1.25/1.41 (E(f1(f1(f4(a5),x2301),x2302),f1(f4(f4(f1(a2,f4(a3)))),f1(x2301,x2302)))),
% 1.25/1.41 inference(scs_inference,[],[85,88,5,4,6,2])).
% 1.25/1.41 cnf(231,plain,
% 1.25/1.41 (E(f1(x2311,f1(x2312,f1(x2313,x2314))),f1(f1(x2314,f1(x2311,x2313)),x2312))),
% 1.25/1.41 inference(scs_inference,[],[81,85,88,5,4,6,2,3])).
% 1.25/1.41 cnf(264,plain,
% 1.25/1.41 (E(f4(f1(x2641,f1(x2642,f1(x2643,x2644)))),f4(f1(x2641,f1(f1(x2644,x2642),x2643))))),
% 1.25/1.41 inference(scs_inference,[],[222,4,5,6])).
% 1.25/1.41 cnf(273,plain,
% 1.25/1.41 (E(f1(f1(f4(a5),f1(x2731,x2732)),x2733),f1(f4(a5),f1(x2732,f1(x2733,x2731))))),
% 1.25/1.41 inference(scs_inference,[],[99,223,231,230,5,4,6,2,3])).
% 1.25/1.41 cnf(371,plain,
% 1.25/1.41 (E(f4(f1(x3711,x3712)),f4(f1(x3712,x3711)))),
% 1.25/1.41 inference(scs_inference,[],[197,264,273,7,3,4,5,6])).
% 1.25/1.41 cnf(388,plain,
% 1.25/1.41 (E(f4(f1(x3881,x3882)),f4(f1(x3882,x3881)))),
% 1.25/1.41 inference(rename_variables,[],[371])).
% 1.25/1.41 cnf(391,plain,
% 1.25/1.41 ($false),
% 1.25/1.41 inference(scs_inference,[],[208,138,371,388,3,6,2,4]),
% 1.25/1.41 ['proof']).
% 1.25/1.41 % SZS output end Proof
% 1.25/1.41 % Total time :0.880000s
%------------------------------------------------------------------------------