%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYO639+1 : TPTP v9.2.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n015.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 : Tue May 5 05:54:06 PM UTC 2026
% Result : Satisfiable 1.24s 1.72s
% Output : Saturation 1.24s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(addkpairs34,axiom,
( ? [X1,X2] :
( f(X2,X1)
& f(X2,X2)
& ! [X3] :
( g(X3,X1)
| g(X3,X2) )
& g(X1,X1)
& ~ f(X1,X2) )
& ! [X4] :
( ! [X5] : f(X4,X5)
| ! [X6] :
( ~ f(X6,X4)
| ~ g(X6,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addkpairs34) ).
fof(c_0_1,plain,
( ? [X1,X2] :
( f(X2,X1)
& f(X2,X2)
& ! [X3] :
( g(X3,X1)
| g(X3,X2) )
& g(X1,X1)
& ~ f(X1,X2) )
& ! [X4] :
( ! [X5] : f(X4,X5)
| ! [X6] :
( ~ f(X6,X4)
| ~ g(X6,X4) ) ) ),
inference(fof_simplification,[status(thm)],[addkpairs34]) ).
fof(c_0_2,plain,
! [X15,X16,X17,X18] :
( f(esk2_0,esk1_0)
& f(esk2_0,esk2_0)
& ( g(X15,esk1_0)
| g(X15,esk2_0) )
& g(esk1_0,esk1_0)
& ~ f(esk1_0,esk2_0)
& ( f(X16,X17)
| ~ f(X18,X16)
| ~ g(X18,X16) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3,plain,
( f(X1,X2)
| ~ f(X3,X1)
| ~ g(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_4,plain,
( g(X1,esk1_0)
| g(X1,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_5,plain,
( g(X1,esk1_0)
| f(esk2_0,X2)
| ~ f(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]),
[final] ).
cnf(c_0_6,plain,
f(esk2_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_7,plain,
( g(esk2_0,esk1_0)
| f(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]),
[final] ).
cnf(c_0_8,plain,
f(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_9,plain,
g(esk1_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_10,plain,
( f(esk2_0,X1)
| f(esk1_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_8])]),
[final] ).
cnf(c_0_11,plain,
( f(esk1_0,X1)
| ~ f(esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_3,c_0_9]),
[final] ).
cnf(c_0_12,plain,
~ f(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO639+1 : TPTP v9.2.1. Released v7.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n015.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 09:19:02 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.24/1.72 % Version : CSE_E---1.7
% 1.24/1.72 % Problem : theBenchmark.p
% 1.24/1.72 % SZS status Satisfiable for theBenchmark.p
% 1.24/1.72 % SZS output start Saturation
% See solution above
% 1.24/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------