%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT087+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 : 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 02:11:56 PM UTC 2026
% Result : Theorem 8.28s 1.65s
% Output : Proof 8.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 57 ( 42 unt; 0 def)
% Number of atoms : 95 ( 35 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 93 ( 55 ~; 19 |; 16 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 56 ( 2 sgn 34 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X,Y] :
( less(X,Y)
=> leq(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_implies_leq) ).
fof(f5_nnf,plain,
! [X,Y] :
( leq(X,Y)
| ~ less(X,Y) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,Y] :
( leq(X,Y)
| ~ less(X,Y) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c7,plain,
( leq(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(hi6,axiom,
ifeq(less(X0,X1),true,leq(X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
fof(f32,axiom,
less(v200,v600),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v200_v600) ).
fof(f32_nnf,plain,
less(v200,v600),
inference(nnf_transformation,[status(thm)],[f32]) ).
cnf(c50,plain,
less(v200,v600),
inference(cnf_transformation,[status(esa)],[f32_nnf]) ).
cnf(hi45,axiom,
less(v200,v600) = true,
inference(equality_encoding,[status(esa)],[c50]) ).
cnf(h41,plain,
leq(v200,v600) = true,
inference(hyper_resolution,[status(thm)],[hi6,hi45]) ).
fof(f10,axiom,
! [X,A,B] :
( in_lopen(X,A,B)
<=> ( leq(X,B)
& less(A,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_lopen) ).
fof(f10_nnf,plain,
! [X,A,B] :
( ( ~ leq(X,B)
| ~ less(A,X)
| in_lopen(X,A,B) )
& ( ( leq(X,B)
& less(A,X) )
| ~ in_lopen(X,A,B) ) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X,A,B] :
( ( ~ leq(X,B)
| ~ less(A,X)
| in_lopen(X,A,B) )
& ( ( leq(X,B)
& less(A,X) )
| ~ in_lopen(X,A,B) ) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c16,plain,
( ~ leq(X0,X2)
| ~ less(X1,X0)
| in_lopen(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(hi15,axiom,
ifeq(less(X0,X1),true,ifeq(leq(X1,X2),true,in_lopen(X1,X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
fof(f30,axiom,
less(v0,v200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v200) ).
fof(f30_nnf,plain,
less(v0,v200),
inference(nnf_transformation,[status(thm)],[f30]) ).
cnf(c48,plain,
less(v0,v200),
inference(cnf_transformation,[status(esa)],[f30_nnf]) ).
cnf(hi43,axiom,
less(v0,v200) = true,
inference(equality_encoding,[status(esa)],[c48]) ).
cnf(h136,plain,
in_lopen(v200,v0,v600) = true,
inference(hyper_resolution,[status(thm)],[hi15,hi43,h41]) ).
fof(f34,conjecture,
? [X] : in_lopen(X,v0,v600),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl500) ).
fof(f34_neg,negated_conjecture,
~ ? [X] : in_lopen(X,v0,v600),
inference(negated_conjecture,[status(cth)],[f34]) ).
fof(f34_nnf,plain,
! [X] : ~ in_lopen(X,v0,v600),
inference(nnf_transformation,[status(thm)],[f34_neg]) ).
fof(f34_sk,plain,
! [X] : ~ in_lopen(X,v0,v600),
inference(skolemisation,[status(esa)],[f34_nnf]) ).
cnf(c54,plain,
~ in_lopen(X0,v0,v600),
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
cnf(hi54,negated_conjecture,
ifeq(in_lopen(X0,v0,v600),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c54]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi54,h136]) ).
cnf(t313,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(f13,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(f13_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)],[f13]) ).
fof(f13_sk,plain,
! [I1lo,I1hi,I2lo,I2hi,X] :
( ( ( in_closed(sk0(I1lo,I1hi,I2lo,I2hi),I2lo,I2hi)
& in_closed(sk0(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,[sk0])],[f13_nnf]) ).
cnf(c23,plain,
( ~ in_closed(X4,X2,X3)
| ~ in_closed(X4,X0,X1)
| ~ axis_conflict(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
fof(f19,axiom,
conflict != compatible,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cf_cp) ).
fof(f19_nnf,plain,
conflict != compatible,
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
conflict != compatible,
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c35,plain,
conflict != compatible,
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
fof(f20,axiom,
conflict != unknown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cf_un) ).
fof(f20_nnf,plain,
conflict != unknown,
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
conflict != unknown,
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c36,plain,
conflict != unknown,
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
fof(f21,axiom,
compatible != unknown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cp_un) ).
fof(f21_nnf,plain,
compatible != unknown,
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
compatible != unknown,
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c37,plain,
compatible != unknown,
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
fof(f33,axiom,
( v200 != v600
& v0 != v600
& v0 != v200 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
fof(f33_nnf,plain,
( v200 != v600
& v0 != v600
& v0 != v200 ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
( v200 != v600
& v0 != v600
& v0 != v200 ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c51,plain,
v0 != v200,
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(c52,plain,
v0 != v600,
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(c53,plain,
v200 != v600,
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c0,c23,c35,c36,c37,c51,c52,c53,c54]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t313]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT087+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.36 % Computer : n018.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Thu Sep 24 01:23:48 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.28/1.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.28/1.65 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------