TSTP Solution File: SYN083+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN083+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 01:44:07 EDT 2023
% Result : Theorem 0.54s 0.60s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.12 % 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 22:07:26 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 0.53/0.59 %-------------------------------------------
% 0.53/0.59 % File :CSE---1.6
% 0.53/0.59 % Problem :theBenchmark
% 0.53/0.60 % Transform :cnf
% 0.53/0.60 % Format :tptp:raw
% 0.53/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.60
% 0.53/0.60 % Result :Theorem 0.000000s
% 0.53/0.60 % Output :CNFRefutation 0.000000s
% 0.53/0.60 %-------------------------------------------
% 0.53/0.60 %--------------------------------------------------------------------------
% 0.53/0.60 % File : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% 0.53/0.60 % Domain : Syntactic
% 0.53/0.60 % Problem : Pelletier Problem 61
% 0.53/0.60 % Version : Especial.
% 0.53/0.60 % English :
% 0.53/0.60
% 0.53/0.60 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% 0.53/0.60 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe
% 0.53/0.60 % Source : [Hah94]
% 0.53/0.60 % Names : Pelletier 61 [Pel86]
% 0.53/0.60
% 0.53/0.60 % Status : Theorem
% 0.53/0.60 % Rating : 0.04 v7.5.0, 0.05 v7.4.0, 0.00 v7.3.0, 0.08 v7.1.0, 0.09 v7.0.0, 0.07 v6.3.0, 0.14 v6.2.0, 0.18 v6.1.0, 0.08 v5.5.0, 0.12 v5.4.0, 0.11 v5.3.0, 0.17 v5.2.0, 0.14 v5.0.0, 0.12 v4.1.0, 0.09 v4.0.1, 0.10 v4.0.0, 0.11 v3.7.0, 0.00 v3.5.0, 0.11 v3.4.0, 0.05 v3.3.0, 0.07 v3.2.0, 0.18 v3.1.0, 0.11 v2.7.0, 0.17 v2.6.0, 0.14 v2.5.0, 0.00 v2.1.0
% 0.53/0.60 % Syntax : Number of formulae : 2 ( 2 unt; 0 def)
% 0.53/0.60 % Number of atoms : 2 ( 2 equ)
% 0.53/0.60 % Maximal formula atoms : 1 ( 1 avg)
% 0.53/0.60 % Number of connectives : 0 ( 0 ~; 0 |; 0 &)
% 0.53/0.60 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.53/0.60 % Maximal formula depth : 5 ( 5 avg)
% 0.53/0.60 % Maximal term depth : 4 ( 2 avg)
% 0.53/0.60 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.53/0.60 % Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% 0.54/0.60 % Number of variables : 7 ( 7 !; 0 ?)
% 0.54/0.60 % SPC : FOF_THM_RFO_PEQ
% 0.54/0.60
% 0.54/0.60 % Comments :
% 0.54/0.60 %--------------------------------------------------------------------------
% 0.54/0.60 %----Problem axioms
% 0.54/0.60 fof(p61_1,axiom,
% 0.54/0.60 ! [X,Y,Z] : f(X,f(Y,Z)) = f(f(X,Y),Z) ).
% 0.54/0.60
% 0.54/0.60 fof(pel61,conjecture,
% 0.54/0.60 ! [X,Y,Z,W] : f(X,f(Y,f(Z,W))) = f(f(f(X,Y),Z),W) ).
% 0.54/0.60
% 0.54/0.60 %--------------------------------------------------------------------------
% 0.54/0.60 %-------------------------------------------
% 0.54/0.60 % Proof found
% 0.54/0.60 % SZS status Theorem for theBenchmark
% 0.54/0.60 % SZS output start Proof
% 0.54/0.60 %ClaNum:7(EqnAxiom:5)
% 0.54/0.60 %VarNum:6(SingletonVarNum:3)
% 0.54/0.60 %MaxLitNum:1
% 0.54/0.60 %MaxfuncDepth:3
% 0.54/0.60 %SharedTerms:11
% 0.54/0.60 %goalClause: 7
% 0.54/0.60 %singleGoalClaCount:1
% 0.54/0.60 [7]~E(f1(f1(f1(a2,a3),a4),a5),f1(a2,f1(a3,f1(a4,a5))))
% 0.54/0.60 [6]E(f1(f1(x61,x62),x63),f1(x61,f1(x62,x63)))
% 0.54/0.60 %EqnAxiom
% 0.54/0.60 [1]E(x11,x11)
% 0.54/0.60 [2]E(x22,x21)+~E(x21,x22)
% 0.54/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/0.60 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 0.54/0.60 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 0.54/0.60
% 0.54/0.60 %-------------------------------------------
% 0.54/0.60 cnf(9,plain,
% 0.54/0.60 (~E(f1(f1(f1(a2,a3),a4),a5),f1(f1(a2,a3),f1(a4,a5)))),
% 0.54/0.60 inference(scs_inference,[],[7,6,2,3])).
% 0.54/0.60 cnf(13,plain,
% 0.54/0.61 ($false),
% 0.54/0.61 inference(scs_inference,[],[6,9]),
% 0.54/0.61 ['proof']).
% 0.54/0.61 % SZS output end Proof
% 0.54/0.61 % Total time :0.000000s
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