%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV214+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 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 : n001.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 05:21:05 PM UTC 2026
% Result : Theorem 1.33s 1.74s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 328 ( 271 equ)
% Maximal formula atoms : 101 ( 27 avg)
% Number of connectives : 514 ( 198 ~; 70 |; 240 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 15 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 18 ( 4 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0121,conjecture,
! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> ( ( ~ ( n0 = X14
& n2 = X18 )
& ~ ( n0 = X14
& n3 = X18 )
& ~ ( n0 = X14
& n4 = X18 )
& ~ ( n0 = X14
& n5 = X18 )
& ~ ( n0 = X18
& n3 = X14 )
& ~ ( n0 = X18
& n4 = X14 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X14
& n2 = X18 )
& ~ ( n1 = X14
& n3 = X18 )
& ~ ( n1 = X14
& n4 = X18 )
& ~ ( n1 = X14
& n5 = X18 )
& ~ ( n1 = X18
& n2 = X14 )
& ~ ( n1 = X18
& n3 = X14 )
& ~ ( n1 = X18
& n4 = X14 )
& ~ ( n1 = X18
& n5 = X14 )
& ~ ( n2 = X14
& n2 = X18 )
& ~ ( n2 = X14
& n3 = X18 )
& ~ ( n2 = X14
& n4 = X18 )
& ~ ( n2 = X14
& n5 = X18 )
& ~ ( n2 = X18
& n3 = X14 )
& ~ ( n2 = X18
& n4 = X14 )
& ~ ( n2 = X18
& n5 = X14 )
& ~ ( n3 = X14
& n3 = X18 )
& ~ ( n3 = X14
& n4 = X18 )
& ~ ( n3 = X14
& n5 = X18 )
& ~ ( n3 = X18
& n4 = X14 )
& ~ ( n3 = X18
& n5 = X14 )
& ~ ( n4 = X14
& n4 = X18 )
& ~ ( n4 = X14
& n5 = X18 )
& ~ ( n4 = X18
& n5 = X14 )
& ~ ( n5 = X14
& n5 = X18 )
& n1 = X14
& n1 = X18
& n2 = X14
& n5 = X18 )
=> n0 = times(divide(n1,n400),a_select2(sigma,n1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0121) ).
fof(c_0_1,plain,
! [X14,X18] :
( epred2_2(X18,X14)
<=> ( ~ ( n0 = X14
& n2 = X18 )
& ~ ( n0 = X14
& n3 = X18 )
& ~ ( n0 = X14
& n4 = X18 )
& ~ ( n0 = X14
& n5 = X18 )
& ~ ( n0 = X18
& n3 = X14 )
& ~ ( n0 = X18
& n4 = X14 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X14
& n2 = X18 )
& ~ ( n1 = X14
& n3 = X18 )
& ~ ( n1 = X14
& n4 = X18 )
& ~ ( n1 = X14
& n5 = X18 )
& ~ ( n1 = X18
& n2 = X14 )
& ~ ( n1 = X18
& n3 = X14 )
& ~ ( n1 = X18
& n4 = X14 )
& ~ ( n1 = X18
& n5 = X14 )
& ~ ( n2 = X14
& n2 = X18 )
& ~ ( n2 = X14
& n3 = X18 )
& ~ ( n2 = X14
& n4 = X18 )
& ~ ( n2 = X14
& n5 = X18 )
& ~ ( n2 = X18
& n3 = X14 )
& ~ ( n2 = X18
& n4 = X14 )
& ~ ( n2 = X18
& n5 = X14 )
& ~ ( n3 = X14
& n3 = X18 )
& ~ ( n3 = X14
& n4 = X18 )
& ~ ( n3 = X14
& n5 = X18 )
& ~ ( n3 = X18
& n4 = X14 )
& ~ ( n3 = X18
& n5 = X14 )
& ~ ( n4 = X14
& n4 = X18 )
& ~ ( n4 = X14
& n5 = X18 )
& ~ ( n4 = X18
& n5 = X14 )
& ~ ( n5 = X14
& n5 = X18 )
& n1 = X14
& n1 = X18
& n2 = X14
& n5 = X18 ) ),
introduced(definition) ).
fof(c_0_2,plain,
! [X14,X18] :
( epred2_2(X18,X14)
=> ( ~ ( n0 = X14
& n2 = X18 )
& ~ ( n0 = X14
& n3 = X18 )
& ~ ( n0 = X14
& n4 = X18 )
& ~ ( n0 = X14
& n5 = X18 )
& ~ ( n0 = X18
& n3 = X14 )
& ~ ( n0 = X18
& n4 = X14 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X14
& n2 = X18 )
& ~ ( n1 = X14
& n3 = X18 )
& ~ ( n1 = X14
& n4 = X18 )
& ~ ( n1 = X14
& n5 = X18 )
& ~ ( n1 = X18
& n2 = X14 )
& ~ ( n1 = X18
& n3 = X14 )
& ~ ( n1 = X18
& n4 = X14 )
& ~ ( n1 = X18
& n5 = X14 )
& ~ ( n2 = X14
& n2 = X18 )
& ~ ( n2 = X14
& n3 = X18 )
& ~ ( n2 = X14
& n4 = X18 )
& ~ ( n2 = X14
& n5 = X18 )
& ~ ( n2 = X18
& n3 = X14 )
& ~ ( n2 = X18
& n4 = X14 )
& ~ ( n2 = X18
& n5 = X14 )
& ~ ( n3 = X14
& n3 = X18 )
& ~ ( n3 = X14
& n4 = X18 )
& ~ ( n3 = X14
& n5 = X18 )
& ~ ( n3 = X18
& n4 = X14 )
& ~ ( n3 = X18
& n5 = X14 )
& ~ ( n4 = X14
& n4 = X18 )
& ~ ( n4 = X14
& n5 = X18 )
& ~ ( n4 = X18
& n5 = X14 )
& ~ ( n5 = X14
& n5 = X18 )
& n1 = X14
& n1 = X18
& n2 = X14
& n5 = X18 ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
~ ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> ( epred2_2(X18,X14)
=> n0 = times(divide(n1,n400),a_select2(sigma,n1)) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0121]),c_0_1]) ).
fof(c_0_4,plain,
! [X372,X373] :
( ( n0 != X372
| n2 != X373
| ~ epred2_2(X373,X372) )
& ( n0 != X372
| n3 != X373
| ~ epred2_2(X373,X372) )
& ( n0 != X372
| n4 != X373
| ~ epred2_2(X373,X372) )
& ( n0 != X372
| n5 != X373
| ~ epred2_2(X373,X372) )
& ( n0 != X373
| n3 != X372
| ~ epred2_2(X373,X372) )
& ( n0 != X373
| n4 != X372
| ~ epred2_2(X373,X372) )
& ( n0 != X373
| n5 != X372
| ~ epred2_2(X373,X372) )
& ( n1 != X372
| n2 != X373
| ~ epred2_2(X373,X372) )
& ( n1 != X372
| n3 != X373
| ~ epred2_2(X373,X372) )
& ( n1 != X372
| n4 != X373
| ~ epred2_2(X373,X372) )
& ( n1 != X372
| n5 != X373
| ~ epred2_2(X373,X372) )
& ( n1 != X373
| n2 != X372
| ~ epred2_2(X373,X372) )
& ( n1 != X373
| n3 != X372
| ~ epred2_2(X373,X372) )
& ( n1 != X373
| n4 != X372
| ~ epred2_2(X373,X372) )
& ( n1 != X373
| n5 != X372
| ~ epred2_2(X373,X372) )
& ( n2 != X372
| n2 != X373
| ~ epred2_2(X373,X372) )
& ( n2 != X372
| n3 != X373
| ~ epred2_2(X373,X372) )
& ( n2 != X372
| n4 != X373
| ~ epred2_2(X373,X372) )
& ( n2 != X372
| n5 != X373
| ~ epred2_2(X373,X372) )
& ( n2 != X373
| n3 != X372
| ~ epred2_2(X373,X372) )
& ( n2 != X373
| n4 != X372
| ~ epred2_2(X373,X372) )
& ( n2 != X373
| n5 != X372
| ~ epred2_2(X373,X372) )
& ( n3 != X372
| n3 != X373
| ~ epred2_2(X373,X372) )
& ( n3 != X372
| n4 != X373
| ~ epred2_2(X373,X372) )
& ( n3 != X372
| n5 != X373
| ~ epred2_2(X373,X372) )
& ( n3 != X373
| n4 != X372
| ~ epred2_2(X373,X372) )
& ( n3 != X373
| n5 != X372
| ~ epred2_2(X373,X372) )
& ( n4 != X372
| n4 != X373
| ~ epred2_2(X373,X372) )
& ( n4 != X372
| n5 != X373
| ~ epred2_2(X373,X372) )
& ( n4 != X373
| n5 != X372
| ~ epred2_2(X373,X372) )
& ( n5 != X372
| n5 != X373
| ~ epred2_2(X373,X372) )
& ( n1 = X372
| ~ epred2_2(X373,X372) )
& ( n1 = X373
| ~ epred2_2(X373,X372) )
& ( n2 = X372
| ~ epred2_2(X373,X372) )
& ( n5 = X373
| ~ epred2_2(X373,X372) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
fof(c_0_5,negated_conjecture,
( leq(n0,esk24_0)
& leq(n0,esk25_0)
& leq(esk24_0,n5)
& leq(esk25_0,n5)
& epred2_2(esk25_0,esk24_0)
& n0 != times(divide(n1,n400),a_select2(sigma,n1)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
( n1 != X1
| n2 != X2
| ~ epred2_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( n2 = X1
| ~ epred2_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( n1 = X1
| ~ epred2_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
epred2_2(esk25_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
~ epred2_2(X1,X2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_9,c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV214+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n001.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 04:58:48 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.33/1.74 % Version : CSE_E---1.7
% 1.33/1.74 % Problem : theBenchmark.p
% 1.33/1.74 % SZS status Theorem for theBenchmark.p
% 1.33/1.74 % SZS output start CNFRefutation
% See solution above
% 1.33/1.74 % Total time : 1.371s
%------------------------------------------------------------------------------