%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT071+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n016.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 02:11:54 PM UTC 2026
% Result : Theorem 15.69s 7.76s
% Output : Proof 15.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 30 unt; 0 def)
% Number of atoms : 56 ( 20 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 49 ( 31 ~; 8 |; 9 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-4 aty)
% Number of variables : 33 ( 0 sgn 17 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
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]) ).
cnf(hi74,axiom,
ifeq(axis_conflict(X0,X1,X2,X3),true,ifeq(in_closed(X4,X0,X1),true,ifeq(in_closed(X4,X2,X3),true,false,true),true),true) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
fof(f39,hypothesis,
axis_conflict(n0,n5,n10,n15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conflict_hyp) ).
fof(f39_nnf,plain,
axis_conflict(n0,n5,n10,n15),
inference(nnf_transformation,[status(thm)],[f39]) ).
cnf(c75,plain,
axis_conflict(n0,n5,n10,n15),
inference(cnf_transformation,[status(esa)],[f39_nnf]) ).
cnf(hi70,axiom,
axis_conflict(n0,n5,n10,n15) = true,
inference(equality_encoding,[status(esa)],[c75]) ).
fof(f40,conjecture,
~ ? [X] :
( in_closed(X,n10,n15)
& in_closed(X,n0,n5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_false_conflict) ).
fof(f40_neg,negated_conjecture,
~ ~ ? [X] :
( in_closed(X,n10,n15)
& in_closed(X,n0,n5) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f40_nnf,plain,
? [X] :
( in_closed(X,n10,n15)
& in_closed(X,n0,n5) ),
inference(nnf_transformation,[status(thm)],[f40_neg]) ).
fof(f40_sk,plain,
( in_closed(sk3,n10,n15)
& in_closed(sk3,n0,n5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f40_nnf]) ).
cnf(c76,plain,
in_closed(sk3,n0,n5),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(hi71,negated_conjecture,
in_closed(sk3,n0,n5) = true,
inference(equality_encoding,[status(esa)],[c76]) ).
cnf(c77,plain,
in_closed(sk3,n10,n15),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(hi72,negated_conjecture,
in_closed(sk3,n10,n15) = true,
inference(equality_encoding,[status(esa)],[c77]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi74,hi70,hi71,hi72]) ).
cnf(t1569,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(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]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c0,c23,c35,c36,c37]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1569]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT071+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/5.61 % Computer : n016.cluster.edu
% 0.12/5.61 % Model : x86_64 x86_64
% 0.12/5.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.61 % Memory : 8046.5625MB
% 0.12/5.61 % OS : Linux 6.8.0-71-generic
% 0.12/5.61 % CPULimit : 300
% 0.12/5.61 % WCLimit : 300
% 0.12/5.61 % DateTime : Thu Sep 24 01:24:20 UTC 2026
% 0.12/5.61 % CPUTime :
% 0.12/5.61 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 15.69/7.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.69/7.76 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------