%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT091+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n017.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 02:11:57 PM UTC 2026
% Result : Theorem 72.13s 11.32s
% Output : Proof 72.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 23 unt; 0 def)
% Number of atoms : 104 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 100 ( 40 ~; 37 |; 19 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-8 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 85 ( 0 sgn 53 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [A1,B1,A2,B2,C1,D1,C2,D2] :
( box2_compatible(A1,B1,A2,B2,C1,D1,C2,D2)
<=> ( axis_compatible(A2,B2,C2,D2)
& axis_compatible(A1,B1,C1,D1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box2_overlap) ).
fof(f29_nnf,plain,
! [A1,B1,A2,B2,C1,D1,C2,D2] :
( ( ~ axis_compatible(A2,B2,C2,D2)
| ~ axis_compatible(A1,B1,C1,D1)
| box2_compatible(A1,B1,A2,B2,C1,D1,C2,D2) )
& ( ( axis_compatible(A2,B2,C2,D2)
& axis_compatible(A1,B1,C1,D1) )
| ~ box2_compatible(A1,B1,A2,B2,C1,D1,C2,D2) ) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
! [A1,B1,A2,B2,C1,D1,C2,D2] :
( ( ~ axis_compatible(A2,B2,C2,D2)
| ~ axis_compatible(A1,B1,C1,D1)
| box2_compatible(A1,B1,A2,B2,C1,D1,C2,D2) )
& ( ( axis_compatible(A2,B2,C2,D2)
& axis_compatible(A1,B1,C1,D1) )
| ~ box2_compatible(A1,B1,A2,B2,C1,D1,C2,D2) ) ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c54,plain,
( ~ axis_compatible(X2,X3,X6,X7)
| ~ axis_compatible(X0,X1,X4,X5)
| box2_compatible(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(p526,plain,
( ~ axis_compatible(X0,X1,X2,X3)
| box2_compatible(X0,X1,X0,X1,X2,X3,X2,X3) ),
inference(factoring,[status(thm)],[c54]) ).
fof(f14,axiom,
! [I1lo,I1hi,I2lo,I2hi] :
( axis_compatible(I1lo,I1hi,I2lo,I2hi)
<=> ? [X] :
( in_closed(X,I2lo,I2hi)
& in_closed(X,I1lo,I1hi) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axis_compatible_def) ).
fof(f14_nnf,plain,
! [I1lo,I1hi,I2lo,I2hi] :
( ( ! [X] :
( ~ in_closed(X,I2lo,I2hi)
| ~ in_closed(X,I1lo,I1hi) )
| axis_compatible(I1lo,I1hi,I2lo,I2hi) )
& ( ? [X] :
( in_closed(X,I2lo,I2hi)
& in_closed(X,I1lo,I1hi) )
| ~ axis_compatible(I1lo,I1hi,I2lo,I2hi) ) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [I1lo,I1hi,I2lo,I2hi,X] :
( ( ~ in_closed(X,I2lo,I2hi)
| ~ in_closed(X,I1lo,I1hi)
| axis_compatible(I1lo,I1hi,I2lo,I2hi) )
& ( ( in_closed(sk1(I1lo,I1hi,I2lo,I2hi),I2lo,I2hi)
& in_closed(sk1(I1lo,I1hi,I2lo,I2hi),I1lo,I1hi) )
| ~ axis_compatible(I1lo,I1hi,I2lo,I2hi) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f14_nnf]) ).
cnf(c28,plain,
( ~ in_closed(X4,X2,X3)
| ~ in_closed(X4,X0,X1)
| axis_compatible(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
fof(f9,axiom,
! [X,A,B] :
( in_closed(X,A,B)
<=> ( leq(X,B)
& leq(A,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_closed) ).
fof(f9_nnf,plain,
! [X,A,B] :
( ( ~ leq(X,B)
| ~ leq(A,X)
| in_closed(X,A,B) )
& ( ( leq(X,B)
& leq(A,X) )
| ~ in_closed(X,A,B) ) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,A,B] :
( ( ~ leq(X,B)
| ~ leq(A,X)
| in_closed(X,A,B) )
& ( ( leq(X,B)
& leq(A,X) )
| ~ in_closed(X,A,B) ) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c13,plain,
( ~ leq(X0,X2)
| ~ leq(X1,X0)
| in_closed(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
fof(f3,axiom,
! [X,Y] :
( leq(X,Y)
<=> ( X = Y
| less(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_def) ).
fof(f3_nnf,plain,
! [X,Y] :
( ( ( X != Y
& ~ less(X,Y) )
| leq(X,Y) )
& ( X = Y
| less(X,Y)
| ~ leq(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,Y] :
( ( ( X != Y
& ~ less(X,Y) )
| leq(X,Y) )
& ( X = Y
| less(X,Y)
| ~ leq(X,Y) ) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c4,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
fof(f40,axiom,
less(v0,v400),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v400) ).
fof(f40_nnf,plain,
less(v0,v400),
inference(nnf_transformation,[status(thm)],[f40]) ).
cnf(c76,plain,
less(v0,v400),
inference(cnf_transformation,[status(esa)],[f40_nnf]) ).
cnf(p95,plain,
leq(v0,v400),
inference(resolution,[status(thm)],[c4,c76]) ).
cnf(p139,plain,
( ~ leq(v400,X0)
| in_closed(v400,v0,X0) ),
inference(resolution,[status(thm)],[c13,p95]) ).
fof(f42,axiom,
less(v400,v600),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v400_v600) ).
fof(f42_nnf,plain,
less(v400,v600),
inference(nnf_transformation,[status(thm)],[f42]) ).
cnf(c78,plain,
less(v400,v600),
inference(cnf_transformation,[status(esa)],[f42_nnf]) ).
cnf(p99,plain,
leq(v400,v600),
inference(resolution,[status(thm)],[c4,c78]) ).
cnf(p170,plain,
in_closed(v400,v0,v600),
inference(resolution,[status(thm)],[p139,p99]) ).
cnf(p194,plain,
( ~ in_closed(v400,X0,X1)
| axis_compatible(v0,v600,X0,X1) ),
inference(resolution,[status(thm)],[c28,p170]) ).
cnf(c5,plain,
( X0 != X1
| leq(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p102,plain,
leq(X0,X0),
inference(equality_resolution,[status(thm)],[c5]) ).
cnf(p144,plain,
( ~ leq(X0,X1)
| in_closed(X0,X0,X1) ),
inference(resolution,[status(thm)],[c13,p102]) ).
fof(f43,axiom,
less(v400,v800),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v400_v800) ).
fof(f43_nnf,plain,
less(v400,v800),
inference(nnf_transformation,[status(thm)],[f43]) ).
cnf(c79,plain,
less(v400,v800),
inference(cnf_transformation,[status(esa)],[f43_nnf]) ).
cnf(p100,plain,
leq(v400,v800),
inference(resolution,[status(thm)],[c4,c79]) ).
cnf(p189,plain,
in_closed(v400,v400,v800),
inference(resolution,[status(thm)],[p144,p100]) ).
cnf(p1046,plain,
axis_compatible(v0,v600,v400,v800),
inference(resolution,[status(thm)],[p194,p189]) ).
cnf(p18215,plain,
box2_compatible(v0,v600,v0,v600,v400,v800,v400,v800),
inference(resolution,[status(thm)],[p526,p1046]) ).
fof(f46,conjecture,
box2_compatible(v0,v600,v0,v600,v400,v800,v400,v800),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl624) ).
fof(f46_neg,negated_conjecture,
~ box2_compatible(v0,v600,v0,v600,v400,v800,v400,v800),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f46_nnf,plain,
~ box2_compatible(v0,v600,v0,v600,v400,v800,v400,v800),
inference(nnf_transformation,[status(thm)],[f46_neg]) ).
fof(f46_sk,plain,
~ box2_compatible(v0,v600,v0,v600,v400,v800,v400,v800),
inference(skolemisation,[status(esa)],[f46_nnf]) ).
cnf(c87,plain,
~ box2_compatible(v0,v600,v0,v600,v400,v800,v400,v800),
inference(cnf_transformation,[status(esa)],[f46_sk]) ).
cnf(p33551,plain,
$false,
inference(resolution,[status(thm)],[p18215,c87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT091+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n017.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 01:18:01 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 72.13/11.32 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 72.13/11.32 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------