%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT088+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 7.48s 6.49s
% Output : Proof 7.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 68 ( 44 unt; 0 def)
% Number of atoms : 137 ( 57 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 149 ( 80 ~; 33 |; 32 &)
% ( 3 <=>; 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 : 12 ( 12 usr; 9 con; 0-4 aty)
% Number of variables : 75 ( 0 sgn 43 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y] :
( leq(X,Y)
<=> ( X = Y
| less(X,Y) ) ),
file('/export/starexec/sandbox/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(c5,plain,
( X0 != X1
| leq(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi4,axiom,
ifeq(X0,X1,leq(X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(hi78,axiom,
or(false,X0) = X0,
introduced(definition) ).
cnf(h88,plain,
leq(or(false,V0),V0) = true,
inference(hyper_resolution,[status(thm)],[hi4,hi78]) ).
cnf(h89,plain,
leq(V0,or(false,V0)) = true,
inference(hyper_resolution,[status(thm)],[hi4,hi78]) ).
fof(f8,axiom,
! [X,Y,Z] :
( ( leq(Y,Z)
& leq(X,Y) )
=> leq(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_trans) ).
fof(f8_nnf,plain,
! [X,Y,Z] :
( leq(X,Z)
| ~ leq(Y,Z)
| ~ leq(X,Y) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X,Y,Z] :
( leq(X,Z)
| ~ leq(Y,Z)
| ~ leq(X,Y) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c10,plain,
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(hi9,axiom,
ifeq(leq(X0,X1),true,ifeq(leq(X1,X2),true,leq(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(h1516,plain,
leq(V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi9,h89,h88]) ).
fof(f11,axiom,
! [X,A,B] :
( in_lopen(X,A,B)
<=> ( leq(X,B)
& less(A,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_lopen) ).
fof(f11_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)],[f11]) ).
fof(f11_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)],[f11_nnf]) ).
cnf(c18,plain,
( ~ leq(X0,X2)
| ~ less(X1,X0)
| in_lopen(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(hi17,axiom,
ifeq(less(X0,X1),true,ifeq(leq(X1,X2),true,in_lopen(X1,X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
fof(f33,axiom,
less(v0,v400),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v400) ).
fof(f33_nnf,plain,
less(v0,v400),
inference(nnf_transformation,[status(thm)],[f33]) ).
cnf(c52,plain,
less(v0,v400),
inference(cnf_transformation,[status(esa)],[f33_nnf]) ).
cnf(hi47,axiom,
less(v0,v400) = true,
inference(equality_encoding,[status(esa)],[c52]) ).
cnf(h1572,plain,
in_lopen(v400,v0,v400) = true,
inference(hyper_resolution,[status(thm)],[hi17,hi47,h1516]) ).
fof(f39,conjecture,
? [X] :
( in_lopen(X,v0,v400)
& less(v200,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl509) ).
fof(f39_neg,negated_conjecture,
~ ? [X] :
( in_lopen(X,v0,v400)
& less(v200,X) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f39_nnf,plain,
! [X] :
( ~ in_lopen(X,v0,v400)
| ~ less(v200,X) ),
inference(nnf_transformation,[status(thm)],[f39_neg]) ).
fof(f39_sk,plain,
! [X] :
( ~ in_lopen(X,v0,v400)
| ~ less(v200,X) ),
inference(skolemisation,[status(esa)],[f39_nnf]) ).
cnf(c63,plain,
( ~ in_lopen(X0,v0,v400)
| ~ less(v200,X0) ),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(hi63,negated_conjecture,
ifeq(less(v200,X0),true,ifeq(in_lopen(X0,v0,v400),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c63]) ).
fof(f35,axiom,
less(v200,v400),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v200_v400) ).
fof(f35_nnf,plain,
less(v200,v400),
inference(nnf_transformation,[status(thm)],[f35]) ).
cnf(c54,plain,
less(v200,v400),
inference(cnf_transformation,[status(esa)],[f35_nnf]) ).
cnf(hi49,axiom,
less(v200,v400) = true,
inference(equality_encoding,[status(esa)],[c54]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi63,hi49,h1572]) ).
cnf(t284,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f0,axiom,
! [X] : ~ less(X,X),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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(f38,axiom,
( v400 != v600
& v200 != v600
& v200 != v400
& v0 != v600
& v0 != v400
& v0 != v200 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct) ).
fof(f38_nnf,plain,
( v400 != v600
& v200 != v600
& v200 != v400
& v0 != v600
& v0 != v400
& v0 != v200 ),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
( v400 != v600
& v200 != v600
& v200 != v400
& v0 != v600
& v0 != v400
& v0 != v200 ),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c57,plain,
v0 != v200,
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(c58,plain,
v0 != v400,
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(c59,plain,
v0 != v600,
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(c60,plain,
v200 != v400,
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(c61,plain,
v200 != v600,
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(c62,plain,
v400 != v600,
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c0,c25,c37,c38,c39,c57,c58,c59,c60,c61,c62,c63]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t284]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT088+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.37 % Computer : n002.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Thu Sep 24 01:24:56 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.48/6.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.48/6.49 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------