%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT104+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 : 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 02:11:58 PM UTC 2026
% Result : Unsatisfiable 3.58s 1.61s
% Output : Proof 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 82 ( 70 unt; 0 def)
% Number of atoms : 132 ( 74 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 144 ( 94 ~; 26 |; 21 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-4 aty)
% Number of variables : 50 ( 2 sgn 35 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
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]) ).
cnf(hi70,axiom,
ifeq(less(X0,X0),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
fof(f57,axiom,
less(v0,v0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contradiction) ).
fof(f57_nnf,plain,
less(v0,v0),
inference(nnf_transformation,[status(thm)],[f57]) ).
cnf(c87,plain,
less(v0,v0),
inference(cnf_transformation,[status(esa)],[f57_nnf]) ).
cnf(hi69,axiom,
less(v0,v0) = true,
inference(equality_encoding,[status(esa)],[c87]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi70,hi69]) ).
cnf(t1378,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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(f30,axiom,
! [V,InfD,SupD] :
( wf(lt,V,InfD,SupD)
<=> ( V != InfD
& leq(V,SupD)
& leq(InfD,V) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wf_lt) ).
fof(f30_nnf,plain,
! [V,InfD,SupD] :
( ( V = InfD
| ~ leq(V,SupD)
| ~ leq(InfD,V)
| wf(lt,V,InfD,SupD) )
& ( ( V != InfD
& leq(V,SupD)
& leq(InfD,V) )
| ~ wf(lt,V,InfD,SupD) ) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [V,InfD,SupD] :
( ( V = InfD
| ~ leq(V,SupD)
| ~ leq(InfD,V)
| wf(lt,V,InfD,SupD) )
& ( ( V != InfD
& leq(V,SupD)
& leq(InfD,V) )
| ~ wf(lt,V,InfD,SupD) ) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c56,plain,
( X0 != X1
| ~ wf(lt,X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
fof(f31,axiom,
! [V,InfD,SupD] :
( wf(gt,V,InfD,SupD)
<=> ( V != SupD
& leq(V,SupD)
& leq(InfD,V) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wf_gt) ).
fof(f31_nnf,plain,
! [V,InfD,SupD] :
( ( V = SupD
| ~ leq(V,SupD)
| ~ leq(InfD,V)
| wf(gt,V,InfD,SupD) )
& ( ( V != SupD
& leq(V,SupD)
& leq(InfD,V) )
| ~ wf(gt,V,InfD,SupD) ) ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
! [V,InfD,SupD] :
( ( V = SupD
| ~ leq(V,SupD)
| ~ leq(InfD,V)
| wf(gt,V,InfD,SupD) )
& ( ( V != SupD
& leq(V,SupD)
& leq(InfD,V) )
| ~ wf(gt,V,InfD,SupD) ) ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c60,plain,
( X0 != X2
| ~ wf(gt,X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
fof(f42,axiom,
eq != lt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ops_distinct_1) ).
fof(f42_nnf,plain,
eq != lt,
inference(nnf_transformation,[status(thm)],[f42]) ).
fof(f42_sk,plain,
eq != lt,
inference(skolemisation,[status(esa)],[f42_nnf]) ).
cnf(c72,plain,
eq != lt,
inference(cnf_transformation,[status(esa)],[f42_sk]) ).
fof(f43,axiom,
eq != lteq,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ops_distinct_2) ).
fof(f43_nnf,plain,
eq != lteq,
inference(nnf_transformation,[status(thm)],[f43]) ).
fof(f43_sk,plain,
eq != lteq,
inference(skolemisation,[status(esa)],[f43_nnf]) ).
cnf(c73,plain,
eq != lteq,
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
fof(f44,axiom,
eq != gt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ops_distinct_3) ).
fof(f44_nnf,plain,
eq != gt,
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_sk,plain,
eq != gt,
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c74,plain,
eq != gt,
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
fof(f45,axiom,
eq != gteq,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ops_distinct_4) ).
fof(f45_nnf,plain,
eq != gteq,
inference(nnf_transformation,[status(thm)],[f45]) ).
fof(f45_sk,plain,
eq != gteq,
inference(skolemisation,[status(esa)],[f45_nnf]) ).
cnf(c75,plain,
eq != gteq,
inference(cnf_transformation,[status(esa)],[f45_sk]) ).
fof(f46,axiom,
lt != lteq,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ops_distinct_5) ).
fof(f46_nnf,plain,
lt != lteq,
inference(nnf_transformation,[status(thm)],[f46]) ).
fof(f46_sk,plain,
lt != lteq,
inference(skolemisation,[status(esa)],[f46_nnf]) ).
cnf(c76,plain,
lt != lteq,
inference(cnf_transformation,[status(esa)],[f46_sk]) ).
fof(f47,axiom,
lt != gt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ops_distinct_6) ).
fof(f47_nnf,plain,
lt != gt,
inference(nnf_transformation,[status(thm)],[f47]) ).
fof(f47_sk,plain,
lt != gt,
inference(skolemisation,[status(esa)],[f47_nnf]) ).
cnf(c77,plain,
lt != gt,
inference(cnf_transformation,[status(esa)],[f47_sk]) ).
fof(f48,axiom,
lt != gteq,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ops_distinct_7) ).
fof(f48_nnf,plain,
lt != gteq,
inference(nnf_transformation,[status(thm)],[f48]) ).
fof(f48_sk,plain,
lt != gteq,
inference(skolemisation,[status(esa)],[f48_nnf]) ).
cnf(c78,plain,
lt != gteq,
inference(cnf_transformation,[status(esa)],[f48_sk]) ).
fof(f49,axiom,
lteq != gt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ops_distinct_8) ).
fof(f49_nnf,plain,
lteq != gt,
inference(nnf_transformation,[status(thm)],[f49]) ).
fof(f49_sk,plain,
lteq != gt,
inference(skolemisation,[status(esa)],[f49_nnf]) ).
cnf(c79,plain,
lteq != gt,
inference(cnf_transformation,[status(esa)],[f49_sk]) ).
fof(f50,axiom,
lteq != gteq,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ops_distinct_9) ).
fof(f50_nnf,plain,
lteq != gteq,
inference(nnf_transformation,[status(thm)],[f50]) ).
fof(f50_sk,plain,
lteq != gteq,
inference(skolemisation,[status(esa)],[f50_nnf]) ).
cnf(c80,plain,
lteq != gteq,
inference(cnf_transformation,[status(esa)],[f50_sk]) ).
fof(f51,axiom,
gt != gteq,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ops_distinct_10) ).
fof(f51_nnf,plain,
gt != gteq,
inference(nnf_transformation,[status(thm)],[f51]) ).
fof(f51_sk,plain,
gt != gteq,
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c81,plain,
gt != gteq,
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
fof(f56,axiom,
v0 != v1200,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct) ).
fof(f56_nnf,plain,
v0 != v1200,
inference(nnf_transformation,[status(thm)],[f56]) ).
fof(f56_sk,plain,
v0 != v1200,
inference(skolemisation,[status(esa)],[f56_nnf]) ).
cnf(c86,plain,
v0 != v1200,
inference(cnf_transformation,[status(esa)],[f56_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c0,c23,c35,c36,c37,c56,c60,c72,c73,c74,c75,c76,c77,c78,c79,c80,c81,c86]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1378]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT104+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 01:27:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.58/1.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.58/1.61 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------