%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL650+1.001 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/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 04:42:39 PM UTC 2026
% Result : Theorem 1.32s 1.81s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 37 ( 7 unt; 0 def)
% Number of atoms : 271 ( 0 equ)
% Maximal formula atoms : 64 ( 7 avg)
% Number of connectives : 450 ( 216 ~; 189 |; 45 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 49 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ~ p8(X1)
& ~ p6(X1)
& ~ p4(X1)
& ~ p2(X1) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p3(X1)
& ~ p1(X1) )
| ( p1(X1)
& p3(X1) ) ) ) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p4(X1) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p2(X1)
& ~ p3(X1) )
| ( p3(X1)
& p2(X1) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p1(X1)
& ~ p2(X1) )
| ( p2(X1)
& p1(X1) ) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( p4(X1)
& p3(X1)
& p2(X1)
& p1(X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(c_0_1,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ~ p8(X1)
& ~ p6(X1)
& ~ p4(X1)
& ~ p2(X1) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p3(X1)
& ~ p1(X1) )
| ( p1(X1)
& p3(X1) ) ) ) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p4(X1) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p2(X1)
& ~ p3(X1) )
| ( p3(X1)
& p2(X1) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p1(X1)
& ~ p2(X1) )
| ( p2(X1)
& p1(X1) ) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( p4(X1)
& p3(X1)
& p2(X1)
& p1(X1) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]) ).
fof(c_0_2,negated_conjecture,
! [X30,X31,X32,X33,X35,X36,X37,X39,X40] :
( r1(esk1_0,esk2_0)
& r1(esk2_0,esk3_0)
& r1(esk3_0,esk4_0)
& r1(esk4_0,esk5_0)
& ( p8(esk5_0)
| p6(esk5_0)
| p4(esk5_0)
| p2(esk5_0) )
& r1(esk1_0,esk6_0)
& ~ p5(esk6_0)
& ( p3(X33)
| p1(X33)
| ~ r1(X32,X33)
| ~ r1(X31,X32)
| ~ r1(X30,X31)
| ~ r1(esk1_0,X30) )
& ( ~ p1(X33)
| ~ p3(X33)
| ~ r1(X32,X33)
| ~ r1(X31,X32)
| ~ r1(X30,X31)
| ~ r1(esk1_0,X30) )
& ( r1(X30,esk7_1(X30))
| ~ r1(esk1_0,X30) )
& ( ~ p4(esk7_1(X30))
| ~ r1(esk1_0,X30) )
& ( p2(X37)
| p3(X37)
| ~ r1(X36,X37)
| ~ r1(X35,X36)
| ~ r1(X30,X35)
| ~ r1(esk1_0,X30) )
& ( ~ p3(X37)
| ~ p2(X37)
| ~ r1(X36,X37)
| ~ r1(X35,X36)
| ~ r1(X30,X35)
| ~ r1(esk1_0,X30) )
& ( r1(X35,esk8_2(X30,X35))
| ~ r1(X30,X35)
| ~ r1(esk1_0,X30) )
& ( ~ p3(esk8_2(X30,X35))
| ~ r1(X30,X35)
| ~ r1(esk1_0,X30) )
& ( p1(X40)
| p2(X40)
| ~ r1(X39,X40)
| ~ r1(X35,X39)
| ~ r1(X30,X35)
| ~ r1(esk1_0,X30) )
& ( ~ p2(X40)
| ~ p1(X40)
| ~ r1(X39,X40)
| ~ r1(X35,X39)
| ~ r1(X30,X35)
| ~ r1(esk1_0,X30) )
& r1(esk1_0,esk9_0)
& r1(esk9_0,esk10_0)
& r1(esk10_0,esk11_0)
& r1(esk11_0,esk12_0)
& ( ~ p4(esk12_0)
| ~ p3(esk12_0)
| ~ p2(esk12_0)
| ~ p1(esk12_0) ) ),
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,
( p1(X1)
| p2(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(esk1_0,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
r1(esk1_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( p2(X1)
| p3(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(esk1_0,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( p3(X1)
| p1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(esk1_0,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( ~ p1(X1)
| ~ p3(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(esk1_0,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk9_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_9,negated_conjecture,
r1(esk9_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk9_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( ~ p2(X1)
| ~ p1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(esk1_0,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( p1(X1)
| p3(X1)
| ~ r1(esk9_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_4]) ).
cnf(c_0_13,negated_conjecture,
( ~ p1(X1)
| ~ p3(X1)
| ~ r1(esk9_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_4]) ).
cnf(c_0_14,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk10_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_15,negated_conjecture,
r1(esk10_0,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk10_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_17,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(esk1_0,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk9_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_4]) ).
cnf(c_0_19,negated_conjecture,
( p1(X1)
| p3(X1)
| ~ r1(esk10_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_9]) ).
cnf(c_0_20,negated_conjecture,
( ~ p1(X1)
| ~ p3(X1)
| ~ r1(esk10_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_9]) ).
cnf(c_0_21,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk11_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,negated_conjecture,
r1(esk11_0,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_23,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk11_0,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_24,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk9_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_4]) ).
cnf(c_0_25,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk10_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_9]) ).
cnf(c_0_26,negated_conjecture,
( p1(X1)
| p3(X1)
| ~ r1(esk11_0,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_27,negated_conjecture,
( ~ p1(X1)
| ~ p3(X1)
| ~ r1(esk11_0,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_15]) ).
cnf(c_0_28,negated_conjecture,
( p1(esk12_0)
| p2(esk12_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,negated_conjecture,
( p3(esk12_0)
| p2(esk12_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_30,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk10_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_9]) ).
cnf(c_0_31,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk11_0,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_15]) ).
cnf(c_0_32,negated_conjecture,
( p1(esk12_0)
| p3(esk12_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_22]) ).
cnf(c_0_33,negated_conjecture,
p2(esk12_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_22])]),c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk11_0,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_15]) ).
cnf(c_0_35,negated_conjecture,
p3(esk12_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_22])]) ).
cnf(c_0_36,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_33]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.20 % Problem : LCL650+1.001 : TPTP v9.2.1. Released v4.0.0.
% 0.03/0.20 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.41 % Computer : n011.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8042.1875MB
% 0.15/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon May 4 22:48:47 EDT 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.42 % start to proof: theBenchmark
% 1.32/1.81 % Version : CSE_E---1.7
% 1.32/1.81 % Problem : theBenchmark.p
% 1.32/1.81 % SZS status Theorem for theBenchmark.p
% 1.32/1.81 % SZS output start CNFRefutation
% See solution above
% 1.32/1.81 % Total time : 1.375s
%------------------------------------------------------------------------------