%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT092+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 : n013.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 14.43s 12.21s
% Output : Proof 14.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 72 ( 53 unt; 0 def)
% Number of atoms : 129 ( 52 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 134 ( 77 ~; 29 |; 24 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-4 aty)
% Number of variables : 70 ( 0 sgn 44 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X,Y] :
( less(X,Y)
=> leq(X,Y) ),
file('/export/starexec/sandbox/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(f39,axiom,
less(v800,v1200),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v800_v1200) ).
fof(f39_nnf,plain,
less(v800,v1200),
inference(nnf_transformation,[status(thm)],[f39]) ).
cnf(c57,plain,
less(v800,v1200),
inference(cnf_transformation,[status(esa)],[f39_nnf]) ).
cnf(hi52,axiom,
less(v800,v1200) = true,
inference(equality_encoding,[status(esa)],[c57]) ).
cnf(h39,plain,
leq(v800,v1200) = true,
inference(hyper_resolution,[status(thm)],[hi6,hi52]) ).
fof(f38,axiom,
less(v400,v800),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v400_v800) ).
fof(f38_nnf,plain,
less(v400,v800),
inference(nnf_transformation,[status(thm)],[f38]) ).
cnf(c56,plain,
less(v400,v800),
inference(cnf_transformation,[status(esa)],[f38_nnf]) ).
cnf(hi51,axiom,
less(v400,v800) = true,
inference(equality_encoding,[status(esa)],[c56]) ).
cnf(h34,plain,
leq(v400,v800) = true,
inference(hyper_resolution,[status(thm)],[hi6,hi51]) ).
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(h93,plain,
leq(v400,v1200) = true,
inference(hyper_resolution,[status(thm)],[hi9,h34,h39]) ).
fof(f37,axiom,
less(v0,v400),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v400) ).
fof(f37_nnf,plain,
less(v0,v400),
inference(nnf_transformation,[status(thm)],[f37]) ).
cnf(c55,plain,
less(v0,v400),
inference(cnf_transformation,[status(esa)],[f37_nnf]) ).
cnf(hi50,axiom,
less(v0,v400) = true,
inference(equality_encoding,[status(esa)],[c55]) ).
cnf(h30,plain,
leq(v0,v400) = true,
inference(hyper_resolution,[status(thm)],[hi6,hi50]) ).
fof(f12,axiom,
! [U,V,InfD,SupD] :
( ( leq(V,SupD)
& less(U,V)
& leq(U,SupD)
& leq(InfD,U) )
=> completion_conflict(U,V,InfD,SupD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sharpness_conflict) ).
fof(f12_nnf,plain,
! [U,V,InfD,SupD] :
( completion_conflict(U,V,InfD,SupD)
| ~ leq(V,SupD)
| ~ less(U,V)
| ~ leq(U,SupD)
| ~ leq(InfD,U) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [InfD,U,SupD,V] :
( completion_conflict(U,V,InfD,SupD)
| ~ leq(V,SupD)
| ~ less(U,V)
| ~ leq(U,SupD)
| ~ leq(InfD,U) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c14,plain,
( completion_conflict(X0,X1,X2,X3)
| ~ leq(X1,X3)
| ~ less(X0,X1)
| ~ leq(X0,X3)
| ~ leq(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(hi13,axiom,
ifeq(leq(X0,X1),true,ifeq(leq(X1,X2),true,ifeq(less(X1,X3),true,ifeq(leq(X3,X2),true,completion_conflict(X1,X3,X0,X2),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(h112,plain,
completion_conflict(v400,v800,v0,v1200) = true,
inference(hyper_resolution,[status(thm)],[hi13,h30,h93,hi51,h39]) ).
fof(f41,conjecture,
completion_conflict(v400,v800,v0,v1200),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl633) ).
fof(f41_neg,negated_conjecture,
~ completion_conflict(v400,v800,v0,v1200),
inference(negated_conjecture,[status(cth)],[f41]) ).
fof(f41_nnf,plain,
~ completion_conflict(v400,v800,v0,v1200),
inference(nnf_transformation,[status(thm)],[f41_neg]) ).
fof(f41_sk,plain,
~ completion_conflict(v400,v800,v0,v1200),
inference(skolemisation,[status(esa)],[f41_nnf]) ).
cnf(c64,plain,
~ completion_conflict(v400,v800,v0,v1200),
inference(cnf_transformation,[status(esa)],[f41_sk]) ).
cnf(hi64,negated_conjecture,
ifeq(completion_conflict(v400,v800,v0,v1200),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c64]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi64,h112]) ).
cnf(t349,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(f19,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(f19_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)],[f19]) ).
fof(f19_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])],[f19_nnf]) ).
cnf(c29,plain,
( ~ in_closed(X4,X2,X3)
| ~ in_closed(X4,X0,X1)
| ~ axis_conflict(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
fof(f25,axiom,
conflict != compatible,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verdicts_distinct_cf_cp) ).
fof(f25_nnf,plain,
conflict != compatible,
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
conflict != compatible,
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c41,plain,
conflict != compatible,
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
fof(f26,axiom,
conflict != unknown,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verdicts_distinct_cf_un) ).
fof(f26_nnf,plain,
conflict != unknown,
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
conflict != unknown,
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c42,plain,
conflict != unknown,
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
fof(f27,axiom,
compatible != unknown,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verdicts_distinct_cp_un) ).
fof(f27_nnf,plain,
compatible != unknown,
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
compatible != unknown,
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c43,plain,
compatible != unknown,
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
fof(f40,axiom,
( v800 != v1200
& v400 != v1200
& v400 != v800
& v0 != v1200
& v0 != v800
& v0 != v400 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct) ).
fof(f40_nnf,plain,
( v800 != v1200
& v400 != v1200
& v400 != v800
& v0 != v1200
& v0 != v800
& v0 != v400 ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
( v800 != v1200
& v400 != v1200
& v400 != v800
& v0 != v1200
& v0 != v800
& v0 != v400 ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c58,plain,
v0 != v400,
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(c59,plain,
v0 != v800,
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(c60,plain,
v0 != v1200,
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(c61,plain,
v400 != v800,
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(c62,plain,
v400 != v1200,
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(c63,plain,
v800 != v1200,
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c0,c29,c41,c42,c43,c58,c59,c60,c61,c62,c63,c64]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t349]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT092+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/10.38 % Computer : n013.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Thu Sep 24 01:22:23 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 14.43/12.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.43/12.21 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------