%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL311-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:18:58 AM UTC 2026
% Result : Unsatisfiable 185.06s 185.20s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL311-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 20:42:15 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.25/0.52 start to proof:theBenchmark
% 184.99/185.20 %-------------------------------------------
% 184.99/185.20 % File :CSE---1.7
% 184.99/185.20 % Problem :theBenchmark
% 184.99/185.20 % Transform :cnf
% 184.99/185.20 % Format :tptp:raw
% 184.99/185.20 % Command :java -jar mcs_scs.jar %d %s
% 184.99/185.20
% 184.99/185.20 % Result :Theorem 184.619915s
% 184.99/185.20 % Output :CNFRefutation 184.619915s
% 184.99/185.20 %-------------------------------------------
% 185.06/185.20 %--------------------------------------------------------------------------
% 185.06/185.20 % File : LCL311-3 : TPTP v9.3.1. Released v2.3.0.
% 185.06/185.20 % Domain : Logic Calculi (Propositional)
% 185.06/185.20 % Problem : Principia Mathematica 4.8
% 185.06/185.20 % Version : [WR27] axioms.
% 185.06/185.20 % English :
% 185.06/185.20
% 185.06/185.20 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 185.06/185.20 % Source : [WR27]
% 185.06/185.20 % Names : Problem 4.8 [WR27]
% 185.06/185.20
% 185.06/185.20 % Status : Unsatisfiable
% 185.06/185.20 % Rating : 0.00 v9.3.0, 0.17 v9.1.0, 0.00 v9.0.0, 0.06 v8.2.0, 0.08 v8.1.0, 0.00 v7.5.0, 0.20 v7.4.0, 0.11 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.29 v6.3.0, 0.33 v6.2.0, 0.00 v6.1.0, 0.20 v6.0.0, 0.67 v5.5.0, 0.56 v5.4.0, 0.60 v5.3.0, 0.50 v5.2.0, 0.62 v5.1.0, 0.57 v4.1.0, 0.44 v4.0.1, 0.33 v4.0.0, 0.50 v3.5.0, 0.33 v3.3.0, 0.43 v3.2.0, 0.29 v3.1.0, 0.44 v2.7.0, 0.17 v2.6.0, 0.29 v2.5.0, 0.00 v2.4.0, 0.33 v2.3.0
% 185.06/185.20 % Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 3 RR)
% 185.06/185.20 % Number of literals : 14 ( 3 equ; 4 neg)
% 185.06/185.20 % Maximal clause size : 3 ( 1 avg)
% 185.06/185.20 % Maximal term depth : 4 ( 2 avg)
% 185.06/185.20 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 185.06/185.20 % Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% 185.06/185.20 % Number of variables : 20 ( 1 sgn)
% 185.06/185.20 % SPC : CNF_UNS_RFO_SEQ_HRN
% 185.06/185.20
% 185.06/185.20 % Comments :
% 185.06/185.20 %--------------------------------------------------------------------------
% 185.06/185.20 %----Include axioms of propositional logic
% 185.06/185.20 include('Axioms/LCL004-0.ax').
% 185.06/185.20 include('Axioms/LCL004-1.ax').
% 185.06/185.20 include('Axioms/LCL004-2.ax').
% 185.06/185.20 %--------------------------------------------------------------------------
% 185.06/185.20 cnf(prove_this,negated_conjecture,
% 185.06/185.20 ~ theorem(equivalent(implies(p,not(p)),not(p))) ).
% 185.06/185.20
% 185.06/185.20 %--------------------------------------------------------------------------
% 185.06/185.20 %-------------------------------------------
% 185.06/185.20 % Proof found
% 185.06/185.20 % SZS status Theorem for theBenchmark
% 185.06/185.20 % SZS output start Proof
% 185.06/185.20 %ClaNum:8(EqnAxiom:0)
% 185.06/185.20 %VarNum:28(SingletonVarNum:14)
% 185.06/185.20 %MaxLitNum:3
% 185.06/185.20 %MaxfuncDepth:6
% 185.06/185.20 %SharedTerms:12
% 185.06/185.20 %goalClause: 6
% 185.06/185.20 %singleGoalClaCount:1
% 185.06/185.20 [6]~P2(f1(f2(f1(f2(f1(f2(f1(a3),f1(a3))),f1(a3))),f1(f2(f1(f1(a3)),f2(f1(a3),f1(a3)))))))
% 185.06/185.20 [2]P1(f2(f1(f2(x21,x21)),x21))
% 185.06/185.20 [1]P1(f2(f1(x11),f2(x12,x11)))
% 185.06/185.20 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 185.06/185.20 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 185.06/185.20 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 185.06/185.20 [7]~P1(x71)+P2(x71)
% 185.06/185.20 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 185.06/185.20 %EqnAxiom
% 185.06/185.20
% 185.06/185.20 %-------------------------------------------
% 185.27/185.49 cnf(283227,plain,
% 185.27/185.49 (P2(f2(f1(x2832271),f2(x2832272,x2832271)))),
% 185.27/185.49 inference(scs_inference,[],[1,7])).
% 185.27/185.49 cnf(283229,plain,
% 185.27/185.49 (P2(f2(f1(f2(x2832291,x2832292)),f2(x2832292,x2832291)))),
% 185.27/185.49 inference(scs_inference,[],[3,7])).
% 185.27/185.49 cnf(283231,plain,
% 185.27/185.49 (P2(f2(f1(f2(x2832311,x2832311)),x2832311))),
% 185.27/185.49 inference(scs_inference,[],[2,7])).
% 185.27/185.49 cnf(283233,plain,
% 185.27/185.49 (P2(f2(f1(f2(x2832331,f2(x2832332,x2832333))),f2(x2832332,f2(x2832331,x2832333))))),
% 185.27/185.49 inference(scs_inference,[],[4,7])).
% 185.27/185.49 cnf(283239,plain,
% 185.27/185.49 (~P2(f2(f1(f2(f1(f2(x2832391,x2832392)),f2(x2832392,x2832391))),f1(f2(f1(f2(f1(f2(f1(a3),f1(a3))),f1(a3))),f1(f2(f1(f1(a3)),f2(f1(a3),f1(a3))))))))),
% 185.27/185.49 inference(scs_inference,[],[3,6,7,8])).
% 185.27/185.49 cnf(283240,plain,
% 185.27/185.49 (P2(f2(x2832401,f2(f1(x2832402),x2832402)))),
% 185.27/185.49 inference(scs_inference,[],[4,283227,7,8])).
% 185.27/185.49 cnf(283243,plain,
% 185.27/185.49 (P2(f2(x2832431,f2(f1(f2(x2832432,x2832433)),f2(x2832433,x2832432))))),
% 185.27/185.49 inference(scs_inference,[],[1,283229,7,8])).
% 185.27/185.49 cnf(283251,plain,
% 185.27/185.49 (P2(f2(f2(f1(x2832511),x2832511),x2832512))),
% 185.27/185.49 inference(scs_inference,[],[3,283240,7,8])).
% 185.27/185.49 cnf(283253,plain,
% 185.27/185.49 (P2(f2(f1(f2(x2832531,f2(x2832532,f2(x2832533,x2832534)))),f2(x2832531,f2(x2832533,f2(x2832532,x2832534)))))),
% 185.27/185.49 inference(scs_inference,[],[5,283233,7,8])).
% 185.27/185.49 cnf(283254,plain,
% 185.27/185.49 (P2(f2(f1(x2832541),x2832541))),
% 185.27/185.49 inference(scs_inference,[],[2,283251,7,8])).
% 185.27/185.49 cnf(283256,plain,
% 185.27/185.49 (P2(f2(f1(f2(x2832561,f2(x2832562,x2832562))),f2(x2832561,x2832562)))),
% 185.27/185.49 inference(scs_inference,[],[5,283231,7,8])).
% 185.27/185.49 cnf(283342,plain,
% 185.27/185.49 (P2(f2(x2833421,f2(f1(f2(x2833421,f2(x2833422,f2(x2833423,x2833424)))),f2(x2833423,f2(x2833422,x2833424)))))),
% 185.27/185.49 inference(scs_inference,[],[4,283253,7,8])).
% 185.27/185.49 cnf(283343,plain,
% 185.27/185.49 (P2(f2(f1(f2(x2833431,x2833432)),f2(x2833431,f2(f1(f2(f1(x2833432),f2(x2833433,f2(x2833434,x2833435)))),f2(x2833434,f2(x2833433,x2833435))))))),
% 185.27/185.49 inference(scs_inference,[],[5,283342,7,8])).
% 185.27/185.49 cnf(286058,plain,
% 185.27/185.49 (P2(f2(x2860581,f2(f1(f2(x2860581,x2860582)),f2(f1(f2(f1(x2860582),f2(x2860583,f2(x2860584,x2860585)))),f2(x2860584,f2(x2860583,x2860585))))))),
% 185.27/185.49 inference(scs_inference,[],[283233,283343,8])).
% 185.27/185.49 cnf(286063,plain,
% 185.27/185.49 (P2(f2(f1(f2(x2860631,f2(x2860632,x2860633))),f2(f1(f2(f1(f2(x2860632,f2(x2860631,x2860633))),f2(x2860634,f2(x2860635,x2860636)))),f2(x2860635,f2(x2860634,x2860636)))))),
% 185.27/185.49 inference(scs_inference,[],[283233,283343,8])).
% 185.27/185.49 cnf(286070,plain,
% 185.27/185.49 (P2(f2(f1(f2(f1(f2(x2860701,f2(f1(f2(x2860702,x2860703)),f2(x2860703,x2860702)))),x2860704)),f2(f1(f2(f1(x2860704),f2(x2860705,f2(x2860706,x2860707)))),f2(x2860706,f2(x2860705,x2860707)))))),
% 185.27/185.49 inference(scs_inference,[],[283243,286058,8])).
% 185.27/185.49 cnf(286074,plain,
% 185.27/185.49 (P2(f2(f1(f2(f1(f2(f1(f2(x2860741,x2860742)),f2(x2860743,f2(x2860742,x2860741)))),f2(x2860744,f2(x2860745,x2860746)))),f2(x2860745,f2(x2860744,x2860746))))),
% 185.27/185.49 inference(scs_inference,[],[283243,286063,8])).
% 185.27/185.49 cnf(286083,plain,
% 185.27/185.49 (P2(f2(f1(f2(f1(f2(x2860831,f2(f1(f2(x2860832,x2860831)),x2860832))),f2(x2860833,f2(x2860834,x2860835)))),f2(x2860834,f2(x2860833,x2860835))))),
% 185.27/185.49 inference(scs_inference,[],[286074,286070,8])).
% 185.27/185.49 cnf(286088,plain,
% 185.27/185.49 (P2(f2(x2860881,f2(f2(f1(f2(x2860882,x2860883)),x2860882),x2860883)))),
% 185.27/185.49 inference(scs_inference,[],[286083,286074,8])).
% 185.27/185.49 cnf(286096,plain,
% 185.27/185.49 (P2(f2(f2(f1(f2(x2860961,x2860962)),x2860961),x2860962))),
% 185.27/185.49 inference(scs_inference,[],[283254,286088,8])).
% 185.27/185.49 cnf(286100,plain,
% 185.27/185.49 (P2(f2(f1(f2(f1(f2(f1(x2861001),x2861001)),x2861002)),f2(f1(f2(f1(x2861002),f2(x2861003,f2(x2861004,x2861005)))),f2(x2861004,f2(x2861003,x2861005)))))),
% 185.27/185.49 inference(scs_inference,[],[283254,286058,8])).
% 185.27/185.49 cnf(286109,plain,
% 185.27/185.49 (P2(f2(f1(f2(f1(f2(f1(f2(x2861091,x2861091)),x2861091)),f2(x2861092,f2(x2861093,x2861094)))),f2(x2861093,f2(x2861092,x2861094))))),
% 185.27/185.49 inference(scs_inference,[],[283256,286100,8])).
% 185.27/185.49 cnf(286124,plain,
% 185.27/185.49 (P2(f2(x2861241,f2(f2(f1(f2(x2861242,f2(x2861241,x2861243))),x2861242),x2861243)))),
% 185.27/185.49 inference(scs_inference,[],[286109,286088,8])).
% 185.27/185.49 cnf(286202,plain,
% 185.27/185.49 (P2(f2(f1(f2(f2(x2862021,x2862022),f1(f2(f1(f2(x2862023,x2862023)),x2862023)))),f2(x2862021,x2862022)))),
% 185.27/185.49 inference(scs_inference,[],[286083,286109,8])).
% 185.27/185.49 cnf(286214,plain,
% 185.27/185.49 (P2(f2(f1(f2(x2862141,f1(f2(f1(f2(x2862142,x2862142)),x2862142)))),x2862141))),
% 185.27/185.49 inference(scs_inference,[],[286096,286202,8])).
% 185.27/185.49 cnf(286801,plain,
% 185.27/185.49 (P2(f2(f2(f1(f2(x2868011,f2(f1(f2(f1(x2868012),f2(x2868013,x2868012))),x2868014))),x2868011),x2868014))),
% 185.27/185.50 inference(scs_inference,[],[286124,283227,8])).
% 185.27/185.50 cnf(290219,plain,
% 185.27/185.50 ($false),
% 185.27/185.50 inference(scs_inference,[],[283239,286801,286214,8]),
% 185.27/185.50 ['proof']).
% 185.38/185.58 % SZS output end Proof
% 185.38/185.58 % Total time :184.619915s
%------------------------------------------------------------------------------