%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV232+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 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 : n020.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 05:21:08 PM UTC 2026
% Result : Theorem 1.93s 1.91s
% Output : CNFRefutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 131 ( 86 equ)
% Maximal formula atoms : 29 ( 8 avg)
% Number of connectives : 176 ( 60 ~; 27 |; 79 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-3 aty)
% Number of variables : 22 ( 2 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0841,conjecture,
( ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
=> ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,n2) )
=> ( ( ~ ( n0 = X4
& n1 = X20 )
& ~ ( n0 = X4
& n2 = X20 )
& ~ ( n0 = X20
& n2 = X4 )
& ~ ( n1 = X4
& n1 = X20 )
& ~ ( n1 = X4
& n2 = X20 )
& ~ ( n1 = X20
& n2 = X4 )
& ~ ( n2 = X4
& n2 = X20 )
& n0 = X20
& n1 = X4
& n1 = X20
& n2 = X4 )
=> a_select2(rho,n1) = n0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0841) ).
fof(c_0_1,plain,
! [X20,X4] :
( epred2_2(X4,X20)
<=> ( ~ ( n0 = X4
& n1 = X20 )
& ~ ( n0 = X4
& n2 = X20 )
& ~ ( n0 = X20
& n2 = X4 )
& ~ ( n1 = X4
& n1 = X20 )
& ~ ( n1 = X4
& n2 = X20 )
& ~ ( n1 = X20
& n2 = X4 )
& ~ ( n2 = X4
& n2 = X20 )
& n0 = X20
& n1 = X4
& n1 = X20
& n2 = X4 ) ),
introduced(definition) ).
fof(c_0_2,plain,
! [X20,X4] :
( epred2_2(X4,X20)
=> ( ~ ( n0 = X4
& n1 = X20 )
& ~ ( n0 = X4
& n2 = X20 )
& ~ ( n0 = X20
& n2 = X4 )
& ~ ( n1 = X4
& n1 = X20 )
& ~ ( n1 = X4
& n2 = X20 )
& ~ ( n1 = X20
& n2 = X4 )
& ~ ( n2 = X4
& n2 = X20 )
& n0 = X20
& n1 = X4
& n1 = X20
& n2 = X4 ) ),
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) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
=> ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,n2) )
=> ( epred2_2(X4,X20)
=> a_select2(rho,n1) = n0 ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0841]),c_0_1]) ).
fof(c_0_4,plain,
! [X376,X377] :
( ( n0 != X377
| n1 != X376
| ~ epred2_2(X377,X376) )
& ( n0 != X377
| n2 != X376
| ~ epred2_2(X377,X376) )
& ( n0 != X376
| n2 != X377
| ~ epred2_2(X377,X376) )
& ( n1 != X377
| n1 != X376
| ~ epred2_2(X377,X376) )
& ( n1 != X377
| n2 != X376
| ~ epred2_2(X377,X376) )
& ( n1 != X376
| n2 != X377
| ~ epred2_2(X377,X376) )
& ( n2 != X377
| n2 != X376
| ~ epred2_2(X377,X376) )
& ( n0 = X376
| ~ epred2_2(X377,X376) )
& ( n1 = X377
| ~ epred2_2(X377,X376) )
& ( n1 = X376
| ~ epred2_2(X377,X376) )
& ( n2 = X377
| ~ epred2_2(X377,X376) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
fof(c_0_5,negated_conjecture,
! [X358,X359] :
( ( ~ leq(n0,X358)
| ~ leq(n0,X359)
| ~ leq(X358,n5)
| ~ leq(X359,n5)
| a_select3(q_ds1_filter,X358,X359) = a_select3(q_ds1_filter,X359,X358) )
& leq(n0,esk24_0)
& leq(n0,esk25_0)
& leq(esk24_0,n2)
& leq(esk25_0,n2)
& epred2_2(esk24_0,esk25_0)
& a_select2(rho,n1) != n0 ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_6,plain,
( n0 = X1
| ~ epred2_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
epred2_2(esk24_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( n0 != X1
| n2 != X2
| ~ epred2_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
esk25_0 = n0,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( esk25_0 != n0
| esk24_0 != n2 ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_11,plain,
( n2 = X1
| ~ epred2_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
epred2_2(esk24_0,n0),
inference(rw,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
esk24_0 != n2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_9])]) ).
cnf(c_0_14,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV232+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.00/0.13 % 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
% 0.16/0.34 % Computer : n020.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 04:58:49 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.93/1.91 % Version : CSE_E---1.7
% 1.93/1.91 % Problem : theBenchmark.p
% 1.93/1.91 % SZS status Theorem for theBenchmark.p
% 1.93/1.91 % SZS output start CNFRefutation
% See solution above
% 1.93/1.92 % Total time : 1.375s
%------------------------------------------------------------------------------