TSTP Solution File: SYN071+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN071+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n023.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 : Fri Sep 1 01:44:02 EDT 2023
% Result : Theorem 0.52s 0.65s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN071+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n023.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 : Sat Aug 26 18:09:41 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.52/0.55 start to proof:theBenchmark
% 0.52/0.64 %-------------------------------------------
% 0.52/0.64 % File :CSE---1.6
% 0.52/0.64 % Problem :theBenchmark
% 0.52/0.64 % Transform :cnf
% 0.52/0.64 % Format :tptp:raw
% 0.52/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.64
% 0.52/0.64 % Result :Theorem 0.020000s
% 0.52/0.64 % Output :CNFRefutation 0.020000s
% 0.52/0.64 %-------------------------------------------
% 0.52/0.64 %--------------------------------------------------------------------------
% 0.52/0.64 % File : SYN071+1 : TPTP v8.1.2. Released v2.0.0.
% 0.52/0.64 % Domain : Syntactic
% 0.52/0.64 % Problem : Pelletier Problem 48
% 0.52/0.64 % Version : Especial.
% 0.52/0.64 % English :
% 0.52/0.64
% 0.52/0.64 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% 0.52/0.64 % : [Rud93] Rudnicki (1993), Email to G. Sutcliffe
% 0.52/0.64 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe
% 0.52/0.64 % Source : [Hah94]
% 0.52/0.64 % Names : Pelletier 48 [Pel86]
% 0.52/0.64
% 0.52/0.64 % Status : Theorem
% 0.52/0.64 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v3.3.0, 0.11 v3.2.0, 0.00 v3.1.0, 0.17 v2.7.0, 0.00 v2.4.0, 0.00 v2.1.0
% 0.52/0.64 % Syntax : Number of formulae : 3 ( 0 unt; 0 def)
% 0.52/0.64 % Number of atoms : 6 ( 6 equ)
% 0.52/0.65 % Maximal formula atoms : 2 ( 2 avg)
% 0.52/0.65 % Number of connectives : 3 ( 0 ~; 3 |; 0 &)
% 0.52/0.65 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.52/0.65 % Maximal formula depth : 2 ( 2 avg)
% 0.52/0.65 % Maximal term depth : 1 ( 1 avg)
% 0.52/0.65 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.52/0.65 % Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% 0.52/0.65 % Number of variables : 0 ( 0 !; 0 ?)
% 0.52/0.65 % SPC : FOF_THM_EPR_PEQ
% 0.52/0.65
% 0.52/0.65 % Comments : [Pel86] says that Rudnicki has not published this problem
% 0.52/0.65 % anywhere.
% 0.52/0.65 % : [Rud93] says "I have seen it for the first time around 1977,
% 0.52/0.65 % it was shown to me by A. Trybulec but I am sure it is folklore."
% 0.52/0.65 %--------------------------------------------------------------------------
% 0.52/0.65 fof(pel48_1,axiom,
% 0.52/0.65 ( a = b
% 0.52/0.65 | c = d ) ).
% 0.52/0.65
% 0.52/0.65 fof(pel48_2,axiom,
% 0.52/0.65 ( a = c
% 0.52/0.65 | b = d ) ).
% 0.52/0.65
% 0.52/0.65 fof(pel48,conjecture,
% 0.52/0.65 ( a = d
% 0.52/0.65 | b = c ) ).
% 0.52/0.65
% 0.52/0.65 %--------------------------------------------------------------------------
% 0.52/0.65 %-------------------------------------------
% 0.52/0.65 % Proof found
% 0.52/0.65 % SZS status Theorem for theBenchmark
% 0.52/0.65 % SZS output start Proof
% 0.52/0.65 %ClaNum:7(EqnAxiom:3)
% 0.52/0.65 %VarNum:0(SingletonVarNum:0)
% 0.52/0.65 %MaxLitNum:2
% 0.52/0.65 %MaxfuncDepth:0
% 0.52/0.65 %SharedTerms:10
% 0.52/0.65 %goalClause: 4 5
% 0.52/0.65 %singleGoalClaCount:2
% 0.52/0.65 [4]~E(a1,a3)
% 0.52/0.65 [5]~E(a4,a2)
% 0.52/0.65 [6]E(a1,a2)+E(a3,a4)
% 0.52/0.65 [7]E(a3,a2)+E(a1,a4)
% 0.52/0.65 %EqnAxiom
% 0.52/0.65 [1]E(x11,x11)
% 0.52/0.65 [2]E(x22,x21)+~E(x21,x22)
% 0.52/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.52/0.65
% 0.52/0.65 %-------------------------------------------
% 0.52/0.65 cnf(8,plain,
% 0.52/0.65 (~E(a3,a1)),
% 0.52/0.65 inference(scs_inference,[],[4,2])).
% 0.52/0.65 cnf(9,plain,
% 0.52/0.65 (~E(x91,a3)+~E(a1,x91)),
% 0.52/0.65 inference(scs_inference,[],[4,2,3])).
% 0.52/0.65 cnf(10,plain,
% 0.52/0.65 (~E(a4,a3)+E(a3,a2)),
% 0.52/0.65 inference(scs_inference,[],[4,2,3,7])).
% 0.52/0.65 cnf(11,plain,
% 0.52/0.65 (E(a2,a1)+E(a3,a4)),
% 0.52/0.65 inference(scs_inference,[],[6,2])).
% 0.52/0.65 cnf(14,plain,
% 0.52/0.65 (~E(a3,a4)+E(a3,a2)),
% 0.52/0.65 inference(scs_inference,[],[10,2])).
% 0.52/0.65 cnf(16,plain,
% 0.52/0.65 (E(a2,a3)+~E(a3,a4)),
% 0.52/0.65 inference(scs_inference,[],[14,2])).
% 0.52/0.65 cnf(17,plain,
% 0.52/0.65 (~E(x171,a1)+~E(a3,x171)),
% 0.52/0.65 inference(scs_inference,[],[8,3])).
% 0.52/0.65 cnf(19,plain,
% 0.52/0.65 (~E(a2,a1)+E(a1,a4)),
% 0.52/0.65 inference(scs_inference,[],[17,7])).
% 0.52/0.65 cnf(20,plain,
% 0.52/0.65 (E(a4,a1)+~E(a2,a1)),
% 0.52/0.65 inference(scs_inference,[],[19,2])).
% 0.52/0.65 cnf(21,plain,
% 0.52/0.65 (E(a4,a1)+E(a3,a4)),
% 0.52/0.65 inference(scs_inference,[],[20,11])).
% 0.52/0.65 cnf(22,plain,
% 0.52/0.65 (E(a4,a1)+E(a3,a2)),
% 0.52/0.65 inference(scs_inference,[],[21,14])).
% 0.52/0.65 cnf(23,plain,
% 0.52/0.65 (E(a2,a3)+E(a4,a1)),
% 0.52/0.65 inference(scs_inference,[],[22,2])).
% 0.52/0.65 cnf(24,plain,
% 0.52/0.65 (~E(x241,a2)+~E(a4,x241)),
% 0.52/0.65 inference(scs_inference,[],[5,3])).
% 0.52/0.65 cnf(25,plain,
% 0.52/0.65 (~E(a1,a2)+E(a4,a1)),
% 0.52/0.65 inference(scs_inference,[],[23,9])).
% 0.52/0.65 cnf(26,plain,
% 0.52/0.65 (~E(a1,a2)),
% 0.52/0.65 inference(scs_inference,[],[24,25])).
% 0.52/0.65 cnf(27,plain,
% 0.52/0.65 (E(a3,a4)),
% 0.52/0.65 inference(scs_inference,[],[26,6])).
% 0.52/0.65 cnf(31,plain,
% 0.52/0.65 (E(a2,a3)),
% 0.52/0.65 inference(scs_inference,[],[27,16])).
% 0.52/0.65 cnf(32,plain,
% 0.52/0.65 (~E(a2,a3)),
% 0.52/0.65 inference(scs_inference,[],[5,27,2,3])).
% 0.52/0.65 cnf(33,plain,
% 0.52/0.65 ($false),
% 0.52/0.65 inference(scs_inference,[],[31,32]),
% 0.52/0.65 ['proof']).
% 0.52/0.65 % SZS output end Proof
% 0.52/0.65 % Total time :0.020000s
%------------------------------------------------------------------------------