%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV219+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 : n016.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 05:21:06 PM UTC 2026
% Result : Theorem 1.97s 1.92s
% Output : CNFRefutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 158 ( 119 equ)
% Maximal formula atoms : 42 ( 9 avg)
% Number of connectives : 225 ( 84 ~; 32 |; 103 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 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 ( 3 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0321,conjecture,
! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> ( ( ~ ( n0 = X14
& n5 = X18 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X14
& n5 = X18 )
& ~ ( n1 = X18
& n5 = X14 )
& ~ ( n2 = X14
& n5 = X18 )
& ~ ( n2 = X18
& n5 = X14 )
& ~ ( n3 = X14
& n5 = X18 )
& ~ ( n3 = X18
& n5 = X14 )
& ~ ( n4 = X14
& n4 = X18 )
& ~ ( n4 = X14
& n5 = X18 )
& ~ ( n4 = X18
& n5 = X14 )
& ~ ( n5 = X14
& n5 = X18 )
& n3 = X14
& n4 = X14
& n4 = X18 )
=> times(divide(n1,n400),a_select2(sigma,n4)) = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0321) ).
fof(c_0_1,plain,
! [X14,X18] :
( epred2_2(X18,X14)
<=> ( ~ ( n0 = X14
& n5 = X18 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X14
& n5 = X18 )
& ~ ( n1 = X18
& n5 = X14 )
& ~ ( n2 = X14
& n5 = X18 )
& ~ ( n2 = X18
& n5 = X14 )
& ~ ( n3 = X14
& n5 = X18 )
& ~ ( n3 = X18
& n5 = X14 )
& ~ ( n4 = X14
& n4 = X18 )
& ~ ( n4 = X14
& n5 = X18 )
& ~ ( n4 = X18
& n5 = X14 )
& ~ ( n5 = X14
& n5 = X18 )
& n3 = X14
& n4 = X14
& n4 = X18 ) ),
introduced(definition) ).
fof(c_0_2,plain,
! [X14,X18] :
( epred2_2(X18,X14)
=> ( ~ ( n0 = X14
& n5 = X18 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X14
& n5 = X18 )
& ~ ( n1 = X18
& n5 = X14 )
& ~ ( n2 = X14
& n5 = X18 )
& ~ ( n2 = X18
& n5 = X14 )
& ~ ( n3 = X14
& n5 = X18 )
& ~ ( n3 = X18
& n5 = X14 )
& ~ ( n4 = X14
& n4 = X18 )
& ~ ( n4 = X14
& n5 = X18 )
& ~ ( n4 = X18
& n5 = X14 )
& ~ ( n5 = X14
& n5 = X18 )
& n3 = X14
& n4 = X14
& n4 = 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)
=> times(divide(n1,n400),a_select2(sigma,n4)) = n0 ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0321]),c_0_1]) ).
fof(c_0_4,plain,
! [X372,X373] :
( ( n0 != X372
| n5 != X373
| ~ epred2_2(X373,X372) )
& ( n0 != X373
| n5 != X372
| ~ epred2_2(X373,X372) )
& ( n1 != X372
| n5 != X373
| ~ epred2_2(X373,X372) )
& ( n1 != X373
| n5 != X372
| ~ epred2_2(X373,X372) )
& ( n2 != X372
| n5 != X373
| ~ epred2_2(X373,X372) )
& ( n2 != X373
| n5 != X372
| ~ epred2_2(X373,X372) )
& ( n3 != X372
| n5 != X373
| ~ 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) )
& ( n3 = X372
| ~ epred2_2(X373,X372) )
& ( n4 = X372
| ~ epred2_2(X373,X372) )
& ( n4 = 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)
& times(divide(n1,n400),a_select2(sigma,n4)) != n0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
( n3 = X1
| ~ epred2_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
epred2_2(esk25_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
esk24_0 = n3,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,plain,
( n4 = X1
| ~ epred2_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
epred2_2(esk25_0,n3),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
esk25_0 = n4,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
( n4 != X1
| n4 != X2
| ~ epred2_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
epred2_2(n4,n3),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( n4 = X1
| ~ epred2_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,plain,
n3 != n4,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_13]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV219+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
% 0.15/0.33 % Computer : n016.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 04:58:36 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.97/1.92 % Version : CSE_E---1.7
% 1.97/1.92 % Problem : theBenchmark.p
% 1.97/1.92 % SZS status Theorem for theBenchmark.p
% 1.97/1.92 % SZS output start CNFRefutation
% See solution above
% 1.97/1.92 % Total time : 1.371s
%------------------------------------------------------------------------------