%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD001-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n011.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 05:55:07 EDT 2024
% Result : Unsatisfiable 58.59s 58.71s
% Output : CNFRefutation 58.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD001-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n011.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
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 10:19:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 58.59/58.70 %-------------------------------------------
% 58.59/58.70 % File :CSE---1.7
% 58.59/58.70 % Problem :theBenchmark
% 58.59/58.70 % Transform :cnf
% 58.59/58.70 % Format :tptp:raw
% 58.59/58.70 % Command :java -jar mcs_scs.jar %d %s
% 58.59/58.70
% 58.59/58.70 % Result :Theorem 58.030000s
% 58.59/58.70 % Output :CNFRefutation 58.030000s
% 58.59/58.70 %-------------------------------------------
% 58.59/58.71 %--------------------------------------------------------------------------
% 58.59/58.71 % File : FLD001-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 58.59/58.71 % Domain : Field Theory (Ordered fields)
% 58.59/58.71 % Problem : Transformation additive relation --> multiplicative relation
% 58.59/58.71 % Version : [Dra93] axioms : Especial.
% 58.59/58.71 % Theorem formulation : Functional with re axiom set.
% 58.59/58.71 % English :
% 58.59/58.71
% 58.59/58.71 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 58.59/58.71 % Source : [Dra93]
% 58.59/58.71 % Names :
% 58.59/58.71
% 58.59/58.71 % Status : Unsatisfiable
% 58.59/58.71 % Rating : 0.08 v8.2.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.00 v2.4.0, 0.20 v2.3.0, 0.00 v2.2.1, 0.67 v2.1.0
% 58.59/58.71 % Syntax : Number of clauses : 30 ( 7 unt; 3 nHn; 30 RR)
% 58.59/58.71 % Number of literals : 81 ( 0 equ; 50 neg)
% 58.59/58.71 % Maximal clause size : 5 ( 2 avg)
% 58.59/58.71 % Maximal term depth : 2 ( 1 avg)
% 58.59/58.71 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 58.59/58.71 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 58.59/58.71 % Number of variables : 73 ( 0 sgn)
% 58.59/58.71 % SPC : CNF_UNS_RFO_NEQ_NHN
% 58.59/58.71
% 58.59/58.71 % Comments :
% 58.59/58.71 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 58.59/58.71 %--------------------------------------------------------------------------
% 58.59/58.71 include('Axioms/FLD002-0.ax').
% 58.59/58.71 %--------------------------------------------------------------------------
% 58.59/58.71 cnf(a_is_defined,hypothesis,
% 58.59/58.71 defined(a) ).
% 58.59/58.71
% 58.59/58.71 cnf(b_is_defined,hypothesis,
% 58.59/58.71 defined(b) ).
% 58.59/58.71
% 58.59/58.71 cnf(sum_3,hypothesis,
% 58.59/58.71 sum(additive_identity,a,b) ).
% 58.59/58.71
% 58.59/58.71 cnf(not_product_4,negated_conjecture,
% 58.59/58.71 ~ product(multiplicative_identity,a,b) ).
% 58.59/58.71
% 58.59/58.71 %--------------------------------------------------------------------------
% 58.59/58.71 %-------------------------------------------
% 58.59/58.71 % Proof found
% 58.59/58.71 % SZS status Theorem for theBenchmark
% 58.59/58.71 % SZS output start Proof
% 58.59/58.71 %ClaNum:30(EqnAxiom:0)
% 58.59/58.71 %VarNum:162(SingletonVarNum:73)
% 58.59/58.71 %MaxLitNum:5
% 58.59/58.71 %MaxfuncDepth:1
% 58.59/58.71 %SharedTerms:11
% 58.59/58.71 %goalClause: 7
% 58.59/58.71 %singleGoalClaCount:1
% 58.59/58.71 [1]P1(a1)
% 58.59/58.71 [2]P1(a4)
% 58.59/58.71 [3]P1(a2)
% 58.59/58.71 [4]P1(a5)
% 58.59/58.71 [5]P2(a1,a2,a5)
% 58.59/58.71 [6]~P2(a1,a1,a4)
% 58.59/58.71 [7]~P3(a4,a2,a5)
% 58.59/58.71 [13]~P1(x131)+P2(a1,x131,x131)
% 58.59/58.71 [14]~P1(x141)+P3(a4,x141,x141)
% 58.59/58.71 [8]~P1(x81)+P1(f6(x81))
% 58.59/58.71 [15]~P1(x151)+P2(f6(x151),x151,a1)
% 58.59/58.71 [22]~P2(x222,x221,x223)+P2(x221,x222,x223)
% 58.59/58.71 [23]~P3(x232,x231,x233)+P3(x231,x232,x233)
% 58.59/58.71 [16]~P1(x161)+P2(a1,x161,a1)+P1(f8(x161))
% 58.59/58.71 [20]~P1(x201)+P3(f8(x201),x201,a4)+P2(a1,x201,a1)
% 58.59/58.71 [19]~P4(x192,x191)+~P4(x191,x192)+P2(a1,x191,x192)
% 58.59/58.71 [10]~P1(x102)+~P1(x101)+P1(f3(x101,x102))
% 58.59/58.71 [11]~P1(x112)+~P1(x111)+P1(f7(x111,x112))
% 58.59/58.71 [17]~P1(x172)+~P1(x171)+P2(x171,x172,f3(x171,x172))
% 58.59/58.71 [18]~P1(x182)+~P1(x181)+P3(x181,x182,f7(x181,x182))
% 58.59/58.71 [12]~P4(x121,x123)+P4(x121,x122)+~P4(x123,x122)
% 58.59/58.71 [9]P4(x92,x91)+~P1(x91)+~P1(x92)+P4(x91,x92)
% 58.59/58.71 [21]~P3(x213,x212,x211)+P4(a1,x211)+~P4(a1,x212)+~P4(a1,x213)
% 58.59/58.71 [24]~P2(x243,x245,x241)+P4(x241,x242)+~P2(x244,x245,x242)+~P4(x243,x244)
% 58.59/58.71 [25]~P2(x251,x256,x254)+P2(x251,x252,x253)+~P2(x254,x255,x253)+~P2(x256,x255,x252)
% 58.59/58.71 [26]~P2(x266,x264,x261)+P2(x261,x262,x263)+~P2(x264,x262,x265)+~P2(x266,x265,x263)
% 58.59/58.71 [27]~P3(x271,x276,x274)+P3(x271,x272,x273)+~P3(x274,x275,x273)+~P3(x276,x275,x272)
% 58.59/58.71 [28]~P3(x286,x284,x281)+P3(x281,x282,x283)+~P3(x284,x282,x285)+~P3(x286,x285,x283)
% 58.59/58.71 [29]~P3(x295,x297,x292)+~P3(x294,x297,x291)+P2(x291,x292,x293)+~P2(x294,x295,x296)+~P3(x296,x297,x293)
% 58.59/58.71 [30]~P3(x307,x302,x305)+~P3(x306,x302,x304)+P3(x301,x302,x303)+~P2(x304,x305,x303)+~P2(x306,x307,x301)
% 58.59/58.71 %EqnAxiom
% 58.59/58.71
% 58.59/58.71 %-------------------------------------------
% 58.59/58.72 cnf(31,plain,
% 58.59/58.72 (~P3(a2,a4,a5)),
% 58.59/58.72 inference(scs_inference,[],[7,23])).
% 58.59/58.72 cnf(42,plain,
% 58.59/58.72 (P4(a4,a4)),
% 58.59/58.72 inference(scs_inference,[],[2,9])).
% 58.59/58.72 cnf(44,plain,
% 58.59/58.72 (~P2(x441,a1,a1)+P2(x441,a5,a5)),
% 58.59/58.72 inference(scs_inference,[],[2,5,9,25])).
% 58.59/58.72 cnf(134,plain,
% 58.59/58.72 (P2(f6(f6(a2)),f6(a2),a1)),
% 58.59/58.72 inference(scs_inference,[],[3,15,8])).
% 58.59/58.72 cnf(176,plain,
% 58.59/58.72 (P2(a5,x1761,a5)+~P2(x1761,a1,a1)),
% 58.59/58.72 inference(scs_inference,[],[44,22])).
% 58.59/58.72 cnf(208,plain,
% 58.59/58.72 (P2(a5,a1,a5)),
% 58.59/58.72 inference(scs_inference,[],[1,176,13])).
% 58.59/58.72 cnf(1389,plain,
% 58.59/58.72 (P2(a1,f6(a2),f6(a2))),
% 58.59/58.72 inference(scs_inference,[],[3,8,13])).
% 58.59/58.72 cnf(1633,plain,
% 58.59/58.72 (P3(a4,f6(a2),f6(a2))),
% 58.59/58.72 inference(scs_inference,[],[3,8,14])).
% 58.59/58.72 cnf(1972,plain,
% 58.59/58.72 (P2(a1,f6(a5),f6(a5))),
% 58.59/58.72 inference(scs_inference,[],[4,8,13])).
% 58.59/58.72 cnf(2301,plain,
% 58.59/58.72 (P2(f6(f6(a5)),f6(a5),a1)),
% 58.59/58.72 inference(scs_inference,[],[4,8,15])).
% 58.59/58.72 cnf(2309,plain,
% 58.59/58.72 (P2(a1,x23091,a1)+~P2(f6(a5),x23091,f6(a5))),
% 58.59/58.72 inference(scs_inference,[],[2301,26])).
% 58.59/58.72 cnf(2329,plain,
% 58.59/58.72 (P2(a1,a1,a1)),
% 58.59/58.72 inference(scs_inference,[],[1972,2309,22])).
% 58.59/58.72 cnf(3468,plain,
% 58.59/58.72 (P2(f6(a2),f6(a2),f3(f6(a2),f6(a2)))),
% 58.59/58.72 inference(scs_inference,[],[3,8,17])).
% 58.59/58.72 cnf(3645,plain,
% 58.59/58.72 (P2(a2,a1,a5)),
% 58.59/58.72 inference(scs_inference,[],[5,22])).
% 58.59/58.72 cnf(3648,plain,
% 58.59/58.72 (P2(f6(a2),a1,f6(a2))),
% 58.59/58.72 inference(scs_inference,[],[1389,22])).
% 58.59/58.72 cnf(3652,plain,
% 58.59/58.72 (P2(f6(a2),f6(f6(a2)),a1)),
% 58.59/58.72 inference(scs_inference,[],[134,22])).
% 58.59/58.72 cnf(3699,plain,
% 58.59/58.72 (P3(f6(a2),a4,f6(a2))),
% 58.59/58.72 inference(scs_inference,[],[1633,23])).
% 58.59/58.72 cnf(4849,plain,
% 58.59/58.72 (~P2(x48491,a5,a4)+~P2(x48491,a2,a1)),
% 58.59/58.72 inference(scs_inference,[],[3645,6,26])).
% 58.59/58.72 cnf(4862,plain,
% 58.59/58.72 (~P2(f6(a2),a5,a4)),
% 58.59/58.72 inference(scs_inference,[],[3,4849,15])).
% 58.59/58.72 cnf(4976,plain,
% 58.59/58.72 (~P2(f6(a2),a2,a4)),
% 58.59/58.72 inference(scs_inference,[],[3648,5,4862,25])).
% 58.59/58.72 cnf(5988,plain,
% 58.59/58.72 (~P2(x59881,x59882,a2)+~P3(x59882,a4,a2)+~P3(x59881,a4,a1)),
% 58.59/58.72 inference(scs_inference,[],[31,7,5,42,30])).
% 58.59/58.72 cnf(7199,plain,
% 58.59/58.72 (P2(a2,f6(a2),x71991)+~P2(a5,f6(a2),x71991)),
% 58.59/58.72 inference(scs_inference,[],[1389,3645,25])).
% 58.59/58.72 cnf(7228,plain,
% 58.59/58.72 (~P2(f6(a2),a5,x72281)+P2(a2,f6(a2),x72281)),
% 58.59/58.72 inference(scs_inference,[],[7199,22])).
% 58.59/58.72 cnf(7341,plain,
% 58.59/58.72 (~P2(a5,f6(a2),a4)),
% 58.59/58.72 inference(scs_inference,[],[4862,22])).
% 58.59/58.72 cnf(7903,plain,
% 58.59/58.72 (~P2(f6(a2),a2,x79031)+P2(f6(f6(a2)),x79031,a5)),
% 58.59/58.72 inference(scs_inference,[],[5,134,25])).
% 58.59/58.72 cnf(8041,plain,
% 58.59/58.72 (~P2(f6(f6(a2)),a1,x80411)+P2(f6(a2),x80411,a1)),
% 58.59/58.72 inference(scs_inference,[],[2329,3652,25])).
% 58.59/58.72 cnf(8399,plain,
% 58.59/58.72 (P2(f6(a2),a5,a1)+~P2(f6(a2),a2,a1)),
% 58.59/58.72 inference(scs_inference,[],[8041,7903])).
% 58.59/58.72 cnf(8415,plain,
% 58.59/58.72 (P2(f6(a2),a5,a1)),
% 58.59/58.72 inference(scs_inference,[],[3,8399,15])).
% 58.59/58.72 cnf(8454,plain,
% 58.59/58.72 (P2(f6(a2),a2,a1)),
% 58.59/58.72 inference(scs_inference,[],[5,3648,8415,26])).
% 58.59/58.72 cnf(8458,plain,
% 58.59/58.72 (~P2(a2,x84581,a2)+~P2(a1,x84581,a4)),
% 58.59/58.72 inference(scs_inference,[],[5,4976,3648,8415,26,7903,25])).
% 58.59/58.72 cnf(8465,plain,
% 58.59/58.72 (~P3(a2,a4,a2)+P3(a1,a4,a1)),
% 58.59/58.72 inference(scs_inference,[],[3699,3468,3648,8454,26,30])).
% 58.59/58.72 cnf(8515,plain,
% 58.59/58.72 (~P2(a2,a4,a2)),
% 58.59/58.72 inference(scs_inference,[],[2,8458,13])).
% 58.59/58.72 cnf(8533,plain,
% 58.59/58.72 (P3(a4,a1,a1)+~P3(a2,a4,a2)),
% 58.59/58.72 inference(scs_inference,[],[8465,23])).
% 58.59/58.72 cnf(8581,plain,
% 58.59/58.72 (~P3(a4,a2,a2)+P3(a4,a1,a1)),
% 58.59/58.72 inference(scs_inference,[],[8533,23])).
% 58.59/58.72 cnf(8597,plain,
% 58.59/58.72 (P3(a4,a1,a1)),
% 58.59/58.72 inference(scs_inference,[],[3,8581,14])).
% 58.59/58.72 cnf(9350,plain,
% 58.59/58.72 (~P2(x93501,x93502,a2)+~P3(x93502,a4,a1)+~P3(x93501,a4,a5)),
% 58.59/58.72 inference(scs_inference,[],[208,31,7,42,30])).
% 58.59/58.72 cnf(9711,plain,
% 58.59/58.72 (P3(a4,a5,a5)),
% 58.59/58.72 inference(scs_inference,[],[4,8,15,14])).
% 58.59/58.72 cnf(9715,plain,
% 58.59/58.72 (P2(a1,a2,a2)),
% 58.59/58.72 inference(scs_inference,[],[8415,4,3,8,15,14,7228,13])).
% 58.59/58.72 cnf(9717,plain,
% 58.59/58.72 (P3(a1,a4,a1)),
% 58.59/58.72 inference(scs_inference,[],[8415,4,3,8597,8,15,14,7228,13,23])).
% 58.59/58.72 cnf(9719,plain,
% 58.59/58.72 (P2(a5,f6(a2),a1)),
% 58.59/58.72 inference(scs_inference,[],[8415,4,3,8597,8,15,14,7228,13,23,22])).
% 58.59/58.72 cnf(9721,plain,
% 58.59/58.72 (P1(f3(a5,a5))),
% 58.59/58.72 inference(scs_inference,[],[8415,4,3,8597,8,15,14,7228,13,23,22,10])).
% 58.59/58.72 cnf(9725,plain,
% 58.59/58.72 (P2(a5,a5,f3(a5,a5))),
% 58.59/58.72 inference(scs_inference,[],[8415,4,3,8597,8,15,14,7228,13,23,22,10,5988,17])).
% 58.59/58.72 cnf(9727,plain,
% 58.59/58.72 (P1(f7(a5,a5))),
% 58.59/58.72 inference(scs_inference,[],[8415,4,3,8597,8,15,14,7228,13,23,22,10,5988,17,11])).
% 58.59/58.72 cnf(9729,plain,
% 58.59/58.72 (P3(a5,a5,f7(a5,a5))),
% 58.59/58.72 inference(scs_inference,[],[8415,4,3,8597,8,15,14,7228,13,23,22,10,5988,17,11,18])).
% 58.59/58.72 cnf(9731,plain,
% 58.59/58.72 (P2(a1,a4,a4)),
% 58.59/58.72 inference(scs_inference,[],[8415,4,3,8597,42,8,15,14,7228,13,23,22,10,5988,17,11,18,19])).
% 58.59/58.72 cnf(9758,plain,
% 58.59/58.72 (P2(a1,f7(a5,a5),f7(a5,a5))),
% 58.59/58.72 inference(scs_inference,[],[9711,9721,9727,3,1,15,8,14,23,44,13])).
% 58.59/58.72 cnf(9760,plain,
% 58.59/58.72 (P2(a2,a1,a2)),
% 58.59/58.72 inference(scs_inference,[],[9711,9715,9721,9727,3,1,15,8,14,23,44,13,22])).
% 58.59/58.73 cnf(9764,plain,
% 58.59/58.73 (P1(f3(a2,a2))),
% 58.59/58.73 inference(scs_inference,[],[9711,9715,9721,9727,3,1,15,8,14,23,44,13,22,17,10])).
% 58.59/58.73 cnf(9778,plain,
% 58.59/58.73 (~P2(a5,a1,a2)),
% 58.59/58.73 inference(scs_inference,[],[9711,9717,9715,9731,9721,9727,9725,9729,9719,8515,7341,3,1,15,8,14,23,44,13,22,17,10,11,18,26,25,28,30,9350])).
% 58.59/58.73 cnf(9812,plain,
% 58.59/58.73 ($false),
% 58.59/58.73 inference(scs_inference,[],[9760,9778,9764,9758,1,2,2329,3645,8,15,14,13,23,22,10,17,11,18,26]),
% 58.59/58.73 ['proof']).
% 58.59/58.73 % SZS output end Proof
% 58.59/58.73 % Total time :58.030000s
%------------------------------------------------------------------------------