%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV232+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:12:33 PM UTC 2026
% Result : Theorem 9.71s 1.82s
% Output : Proof 9.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 19 unt; 0 def)
% Number of atoms : 145 ( 108 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 193 ( 78 ~; 29 |; 78 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-4 aty)
% Number of variables : 18 ( 0 sgn 15 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,conjecture,
( ! [A,B] :
( ( leq(B,n5)
& leq(A,n5)
& leq(n0,B)
& leq(n0,A) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
=> ! [C,D] :
( ( leq(D,n2)
& leq(C,n2)
& leq(n0,D)
& leq(n0,C) )
=> ( ( n2 = C
& n1 = D
& n1 = C
& n0 = D
& ~ ( n2 = D
& n2 = C )
& ~ ( n2 = C
& n1 = D )
& ~ ( n2 = D
& n1 = C )
& ~ ( n1 = D
& n1 = C )
& ~ ( n2 = C
& n0 = D )
& ~ ( n2 = D
& n0 = C )
& ~ ( n1 = D
& n0 = C ) )
=> a_select2(rho,n1) = n0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0841) ).
fof(f52_neg,negated_conjecture,
~ ( ! [A,B] :
( ( leq(B,n5)
& leq(A,n5)
& leq(n0,B)
& leq(n0,A) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
=> ! [C,D] :
( ( leq(D,n2)
& leq(C,n2)
& leq(n0,D)
& leq(n0,C) )
=> ( ( n2 = C
& n1 = D
& n1 = C
& n0 = D
& ~ ( n2 = D
& n2 = C )
& ~ ( n2 = C
& n1 = D )
& ~ ( n2 = D
& n1 = C )
& ~ ( n1 = D
& n1 = C )
& ~ ( n2 = C
& n0 = D )
& ~ ( n2 = D
& n0 = C )
& ~ ( n1 = D
& n0 = C ) )
=> a_select2(rho,n1) = n0 ) ) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f52_nnf,plain,
( ? [C,D] :
( a_select2(rho,n1) != n0
& n2 = C
& n1 = D
& n1 = C
& n0 = D
& ( n2 != D
| n2 != C )
& ( n2 != C
| n1 != D )
& ( n2 != D
| n1 != C )
& ( n1 != D
| n1 != C )
& ( n2 != C
| n0 != D )
& ( n2 != D
| n0 != C )
& ( n1 != D
| n0 != C )
& leq(D,n2)
& leq(C,n2)
& leq(n0,D)
& leq(n0,C) )
& ! [A,B] :
( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A)
| ~ leq(B,n5)
| ~ leq(A,n5)
| ~ leq(n0,B)
| ~ leq(n0,A) ) ),
inference(nnf_transformation,[status(thm)],[f52_neg]) ).
fof(f52_sk,plain,
! [A,B] :
( a_select2(rho,n1) != n0
& n2 = sk27
& n1 = sk28
& n1 = sk27
& n0 = sk28
& ( n2 != sk28
| n2 != sk27 )
& ( n2 != sk27
| n1 != sk28 )
& ( n2 != sk28
| n1 != sk27 )
& ( n1 != sk28
| n1 != sk27 )
& ( n2 != sk27
| n0 != sk28 )
& ( n2 != sk28
| n0 != sk27 )
& ( n1 != sk28
| n0 != sk27 )
& leq(sk28,n2)
& leq(sk27,n2)
& leq(n0,sk28)
& leq(n0,sk27)
& ( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A)
| ~ leq(B,n5)
| ~ leq(A,n5)
| ~ leq(n0,B)
| ~ leq(n0,A) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk27,sk28])],[f52_nnf]) ).
cnf(c263,plain,
( n1 != sk28
| n1 != sk27 ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(hi299,negated_conjecture,
ifeq(n1,sk27,ifeq(n1,sk28,false,trueq),trueq) = trueq,
inference(equality_encoding,[status(esa)],[c263]) ).
cnf(c268,plain,
n1 = sk27,
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(hi259,negated_conjecture,
n1 = sk27,
inference(equality_encoding,[status(esa)],[c268]) ).
cnf(c269,plain,
n1 = sk28,
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(hi260,negated_conjecture,
n1 = sk28,
inference(equality_encoding,[status(esa)],[c269]) ).
cnf(t4,plain,
trueq = false,
inference(hyper_resolution,[status(thm)],[hi299,hi259,hi260]) ).
cnf(t384,plain,
false = trueq,
inference(orient,[status(thm)],[t4]) ).
fof(f2,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f2_nnf,plain,
! [X] : ~ gt(X,X),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] : ~ gt(X,X),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
~ gt(X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f51,axiom,
def != use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',defuse) ).
fof(f51_nnf,plain,
def != use,
inference(nnf_transformation,[status(thm)],[f51]) ).
fof(f51_sk,plain,
def != use,
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c254,plain,
def != use,
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
cnf(c260,plain,
( n1 != sk28
| n0 != sk27 ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(c261,plain,
( n2 != sk28
| n0 != sk27 ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(c262,plain,
( n2 != sk27
| n0 != sk28 ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(c264,plain,
( n2 != sk28
| n1 != sk27 ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(c265,plain,
( n2 != sk27
| n1 != sk28 ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(c266,plain,
( n2 != sk28
| n2 != sk27 ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(c271,plain,
a_select2(rho,n1) != n0,
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(goal_0,negated_conjecture,
trueq != false,
inference(equality_encoding,[status(esa)],[c2,c254,c260,c261,c262,c263,c264,c265,c266,c271]) ).
cnf(g0_0,plain,
trueq != trueq,
inference(rw,[status(thm)],[goal_0,t384]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV232+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 18:50:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 9.71/1.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.71/1.82 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------