%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN414+1 : TPTP v9.2.1. Released v2.0.0.
% 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 : 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 : Tue May 5 05:37:03 PM UTC 2026
% Result : CounterSatisfiable 1.25s 1.72s
% Output : Saturation 1.25s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(kalish265,conjecture,
( ! [X1] :
( ? [X2] :
( h(X1,X2)
& f(X2) )
=> ? [X3] :
( h(X1,X3)
& g(X3) ) )
<=> ! [X4,X5,X6] :
( ( h(X4,X5)
& f(X5) )
=> ( h(X4,X6)
& g(X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish265) ).
fof(c_0_1,negated_conjecture,
~ ( ! [X1] :
( ? [X2] :
( h(X1,X2)
& f(X2) )
=> ? [X3] :
( h(X1,X3)
& g(X3) ) )
<=> ! [X4,X5,X6] :
( ( h(X4,X5)
& f(X5) )
=> ( h(X4,X6)
& g(X6) ) ) ),
inference(assume_negation,[status(cth)],[kalish265]) ).
fof(c_0_2,negated_conjecture,
! [X15,X19,X20,X22,X23,X24] :
( ( h(esk3_0,esk4_0)
| h(esk1_0,esk2_0) )
& ( f(esk4_0)
| h(esk1_0,esk2_0) )
& ( ~ h(esk3_0,esk5_0)
| ~ g(esk5_0)
| h(esk1_0,esk2_0) )
& ( h(esk3_0,esk4_0)
| f(esk2_0) )
& ( f(esk4_0)
| f(esk2_0) )
& ( ~ h(esk3_0,esk5_0)
| ~ g(esk5_0)
| f(esk2_0) )
& ( h(esk3_0,esk4_0)
| ~ h(esk1_0,X15)
| ~ g(X15) )
& ( f(esk4_0)
| ~ h(esk1_0,X15)
| ~ g(X15) )
& ( ~ h(esk3_0,esk5_0)
| ~ g(esk5_0)
| ~ h(esk1_0,X15)
| ~ g(X15) )
& ( h(X22,X24)
| ~ h(X22,X23)
| ~ f(X23)
| h(X19,esk6_1(X19))
| ~ h(X19,X20)
| ~ f(X20) )
& ( g(X24)
| ~ h(X22,X23)
| ~ f(X23)
| h(X19,esk6_1(X19))
| ~ h(X19,X20)
| ~ f(X20) )
& ( h(X22,X24)
| ~ h(X22,X23)
| ~ f(X23)
| g(esk6_1(X19))
| ~ h(X19,X20)
| ~ f(X20) )
& ( g(X24)
| ~ h(X22,X23)
| ~ f(X23)
| g(esk6_1(X19))
| ~ h(X19,X20)
| ~ f(X20) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
cnf(c_0_3,negated_conjecture,
( g(X1)
| g(esk6_1(X4))
| ~ h(X2,X3)
| ~ f(X3)
| ~ h(X4,X5)
| ~ f(X5) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_4,negated_conjecture,
( h(esk3_0,esk4_0)
| h(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( h(esk3_0,esk4_0)
| f(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( g(esk6_1(esk1_0))
| g(X1)
| h(esk3_0,esk4_0)
| ~ f(X2)
| ~ h(X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).
cnf(c_0_7,negated_conjecture,
( g(esk6_1(esk1_0))
| g(X1)
| h(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_4]),c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( h(esk3_0,esk4_0)
| ~ h(esk1_0,X1)
| ~ g(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( g(esk6_1(esk1_0))
| h(esk3_0,esk4_0) ),
inference(ef,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( g(X1)
| h(X4,esk6_1(X4))
| ~ h(X2,X3)
| ~ f(X3)
| ~ h(X4,X5)
| ~ f(X5) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_11,negated_conjecture,
( h(esk3_0,esk4_0)
| ~ h(esk1_0,esk6_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( g(X1)
| h(esk3_0,esk4_0)
| ~ f(X2)
| ~ h(X3,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_4]),c_0_5]),c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( g(X1)
| h(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_4]),c_0_5]) ).
cnf(c_0_14,negated_conjecture,
( h(esk3_0,esk4_0)
| ~ h(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
( h(X1,X2)
| h(X4,esk6_1(X4))
| ~ h(X1,X3)
| ~ f(X3)
| ~ h(X4,X5)
| ~ f(X5) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_16,negated_conjecture,
h(esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_14,c_0_4]),
[final] ).
cnf(c_0_17,negated_conjecture,
( h(esk3_0,esk6_1(esk3_0))
| h(X1,X2)
| ~ f(esk4_0)
| ~ f(X3)
| ~ h(X1,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]),
[final] ).
cnf(c_0_18,negated_conjecture,
( f(esk4_0)
| h(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_19,negated_conjecture,
( g(esk6_1(esk3_0))
| g(X1)
| ~ f(esk4_0)
| ~ f(X2)
| ~ h(X3,X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_16]),
[final] ).
cnf(c_0_20,negated_conjecture,
( h(esk3_0,esk6_1(esk3_0))
| h(esk1_0,esk2_0)
| h(X1,X2)
| ~ f(X3)
| ~ h(X1,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( g(esk6_1(esk3_0))
| g(X1)
| h(esk1_0,esk2_0)
| ~ f(X2)
| ~ h(X3,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( h(esk3_0,esk6_1(esk3_0))
| h(esk1_0,esk2_0)
| h(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_16]),c_0_18]) ).
cnf(c_0_23,negated_conjecture,
( g(esk6_1(esk3_0))
| g(X1)
| h(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_16]),c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( h(X1,X2)
| g(esk6_1(X4))
| ~ h(X1,X3)
| ~ f(X3)
| ~ h(X4,X5)
| ~ f(X5) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_25,negated_conjecture,
( h(esk3_0,esk6_1(esk3_0))
| h(esk1_0,esk2_0) ),
inference(ef,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_26,negated_conjecture,
( g(esk6_1(esk3_0))
| h(esk1_0,esk2_0) ),
inference(ef,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_27,negated_conjecture,
( g(esk6_1(esk3_0))
| h(X1,X2)
| ~ f(esk4_0)
| ~ f(X3)
| ~ h(X1,X3) ),
inference(spm,[status(thm)],[c_0_24,c_0_16]),
[final] ).
cnf(c_0_28,negated_conjecture,
( g(X1)
| h(esk3_0,esk6_1(esk3_0))
| ~ f(esk4_0)
| ~ f(X2)
| ~ h(X3,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_16]),
[final] ).
cnf(c_0_29,negated_conjecture,
( h(esk1_0,esk2_0)
| ~ h(esk3_0,esk5_0)
| ~ g(esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_30,negated_conjecture,
( ~ h(esk3_0,esk5_0)
| ~ g(esk5_0)
| ~ h(esk1_0,X1)
| ~ g(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_31,negated_conjecture,
( f(esk4_0)
| ~ h(esk1_0,X1)
| ~ g(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_32,negated_conjecture,
( f(esk2_0)
| ~ h(esk3_0,esk5_0)
| ~ g(esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_33,negated_conjecture,
( f(esk4_0)
| f(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN414+1 : TPTP v9.2.1. Released v2.0.0.
% 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
% 0.14/0.33 % Computer : n011.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:31:32 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.25/1.72 % Version : CSE_E---1.7
% 1.25/1.72 % Problem : theBenchmark.p
% 1.25/1.72 % SZS status CounterSatisfiable for theBenchmark.p
% 1.25/1.72 % SZS output start Saturation
% See solution above
% 1.25/1.72 % Total time : 1.373s
%------------------------------------------------------------------------------