%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT077+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 : n015.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 02:11:55 PM UTC 2026
% Result : Theorem 12.58s 2.16s
% Output : Proof 12.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 71 ( 55 unt; 0 def)
% Number of atoms : 141 ( 65 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 159 ( 89 ~; 25 |; 43 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-4 aty)
% Number of variables : 52 ( 0 sgn 30 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X,A,B] :
( in_open(X,A,B)
<=> ( less(X,B)
& less(A,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_open) ).
fof(f13_nnf,plain,
! [X,A,B] :
( ( ~ less(X,B)
| ~ less(A,X)
| in_open(X,A,B) )
& ( ( less(X,B)
& less(A,X) )
| ~ in_open(X,A,B) ) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X,A,B] :
( ( ~ less(X,B)
| ~ less(A,X)
| in_open(X,A,B) )
& ( ( less(X,B)
& less(A,X) )
| ~ in_open(X,A,B) ) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c24,plain,
( ~ less(X0,X2)
| ~ less(X1,X0)
| in_open(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(hi23,axiom,
ifeq(less(X0,X1),true,ifeq(less(X1,X2),true,in_open(X1,X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c24]) ).
fof(f34,axiom,
less(v0,v200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v200) ).
fof(f34_nnf,plain,
less(v0,v200),
inference(nnf_transformation,[status(thm)],[f34]) ).
cnf(c53,plain,
less(v0,v200),
inference(cnf_transformation,[status(esa)],[f34_nnf]) ).
cnf(hi48,axiom,
less(v0,v200) = true,
inference(equality_encoding,[status(esa)],[c53]) ).
fof(f40,axiom,
less(v200,v500),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v200_v500) ).
fof(f40_nnf,plain,
less(v200,v500),
inference(nnf_transformation,[status(thm)],[f40]) ).
cnf(c59,plain,
less(v200,v500),
inference(cnf_transformation,[status(esa)],[f40_nnf]) ).
cnf(hi54,axiom,
less(v200,v500) = true,
inference(equality_encoding,[status(esa)],[c59]) ).
cnf(h71,plain,
in_open(v200,v0,v500) = true,
inference(hyper_resolution,[status(thm)],[hi23,hi48,hi54]) ).
fof(f35,axiom,
less(v0,v500),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v500) ).
fof(f35_nnf,plain,
less(v0,v500),
inference(nnf_transformation,[status(thm)],[f35]) ).
cnf(c54,plain,
less(v0,v500),
inference(cnf_transformation,[status(esa)],[f35_nnf]) ).
cnf(hi49,axiom,
less(v0,v500) = true,
inference(equality_encoding,[status(esa)],[c54]) ).
fof(f42,axiom,
less(v500,v800),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v500_v800) ).
fof(f42_nnf,plain,
less(v500,v800),
inference(nnf_transformation,[status(thm)],[f42]) ).
cnf(c61,plain,
less(v500,v800),
inference(cnf_transformation,[status(esa)],[f42_nnf]) ).
cnf(hi56,axiom,
less(v500,v800) = true,
inference(equality_encoding,[status(esa)],[c61]) ).
cnf(h86,plain,
in_open(v500,v0,v800) = true,
inference(hyper_resolution,[status(thm)],[hi23,hi49,hi56]) ).
fof(f44,conjecture,
? [X,Y] :
( in_open(Y,v0,v500)
& less(v100,Y)
& in_open(X,v0,v800)
& less(v200,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl327) ).
fof(f44_neg,negated_conjecture,
~ ? [X,Y] :
( in_open(Y,v0,v500)
& less(v100,Y)
& in_open(X,v0,v800)
& less(v200,X) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f44_nnf,plain,
! [X,Y] :
( ~ in_open(Y,v0,v500)
| ~ less(v100,Y)
| ~ in_open(X,v0,v800)
| ~ less(v200,X) ),
inference(nnf_transformation,[status(thm)],[f44_neg]) ).
fof(f44_sk,plain,
! [X,Y] :
( ~ in_open(Y,v0,v500)
| ~ less(v100,Y)
| ~ in_open(X,v0,v800)
| ~ less(v200,X) ),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c72,plain,
( ~ in_open(X1,v0,v500)
| ~ less(v100,X1)
| ~ in_open(X0,v0,v800)
| ~ less(v200,X0) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(hi72,negated_conjecture,
ifeq(less(v200,X0),true,ifeq(in_open(X0,v0,v800),true,ifeq(less(v100,X1),true,ifeq(in_open(X1,v0,v500),true,false,true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c72]) ).
fof(f37,axiom,
less(v100,v200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v100_v200) ).
fof(f37_nnf,plain,
less(v100,v200),
inference(nnf_transformation,[status(thm)],[f37]) ).
cnf(c56,plain,
less(v100,v200),
inference(cnf_transformation,[status(esa)],[f37_nnf]) ).
cnf(hi51,axiom,
less(v100,v200) = true,
inference(equality_encoding,[status(esa)],[c56]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi72,hi54,h86,hi51,h71]) ).
cnf(t903,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f0,axiom,
! [X] : ~ less(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexive) ).
fof(f0_nnf,plain,
! [X] : ~ less(X,X),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] : ~ less(X,X),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
~ less(X0,X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
fof(f14,axiom,
! [I1lo,I1hi,I2lo,I2hi] :
( axis_conflict(I1lo,I1hi,I2lo,I2hi)
<=> ~ ? [X] :
( in_closed(X,I2lo,I2hi)
& in_closed(X,I1lo,I1hi) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axis_conflict_def) ).
fof(f14_nnf,plain,
! [I1lo,I1hi,I2lo,I2hi] :
( ( ? [X] :
( in_closed(X,I2lo,I2hi)
& in_closed(X,I1lo,I1hi) )
| axis_conflict(I1lo,I1hi,I2lo,I2hi) )
& ( ! [X] :
( ~ in_closed(X,I2lo,I2hi)
| ~ in_closed(X,I1lo,I1hi) )
| ~ axis_conflict(I1lo,I1hi,I2lo,I2hi) ) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [I1lo,I1hi,I2lo,I2hi,X] :
( ( ( in_closed(sk1(I1lo,I1hi,I2lo,I2hi),I2lo,I2hi)
& in_closed(sk1(I1lo,I1hi,I2lo,I2hi),I1lo,I1hi) )
| axis_conflict(I1lo,I1hi,I2lo,I2hi) )
& ( ~ in_closed(X,I2lo,I2hi)
| ~ in_closed(X,I1lo,I1hi)
| ~ axis_conflict(I1lo,I1hi,I2lo,I2hi) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f14_nnf]) ).
cnf(c25,plain,
( ~ in_closed(X4,X2,X3)
| ~ in_closed(X4,X0,X1)
| ~ axis_conflict(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
fof(f20,axiom,
conflict != compatible,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cf_cp) ).
fof(f20_nnf,plain,
conflict != compatible,
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
conflict != compatible,
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c37,plain,
conflict != compatible,
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
fof(f21,axiom,
conflict != unknown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cf_un) ).
fof(f21_nnf,plain,
conflict != unknown,
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
conflict != unknown,
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c38,plain,
conflict != unknown,
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
fof(f22,axiom,
compatible != unknown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cp_un) ).
fof(f22_nnf,plain,
compatible != unknown,
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
compatible != unknown,
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c39,plain,
compatible != unknown,
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
fof(f43,axiom,
( v500 != v800
& v200 != v800
& v200 != v500
& v100 != v800
& v100 != v500
& v100 != v200
& v0 != v800
& v0 != v500
& v0 != v200
& v0 != v100 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
fof(f43_nnf,plain,
( v500 != v800
& v200 != v800
& v200 != v500
& v100 != v800
& v100 != v500
& v100 != v200
& v0 != v800
& v0 != v500
& v0 != v200
& v0 != v100 ),
inference(nnf_transformation,[status(thm)],[f43]) ).
fof(f43_sk,plain,
( v500 != v800
& v200 != v800
& v200 != v500
& v100 != v800
& v100 != v500
& v100 != v200
& v0 != v800
& v0 != v500
& v0 != v200
& v0 != v100 ),
inference(skolemisation,[status(esa)],[f43_nnf]) ).
cnf(c62,plain,
v0 != v100,
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(c63,plain,
v0 != v200,
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(c64,plain,
v0 != v500,
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(c65,plain,
v0 != v800,
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(c66,plain,
v100 != v200,
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(c67,plain,
v100 != v500,
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(c68,plain,
v100 != v800,
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(c69,plain,
v200 != v500,
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(c70,plain,
v200 != v800,
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(c71,plain,
v500 != v800,
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c0,c25,c37,c38,c39,c62,c63,c64,c65,c66,c67,c68,c69,c70,c71,c72]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t903]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT077+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 01:23:55 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 12.58/2.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.58/2.16 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------