%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV150+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n004.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 03:12:22 PM UTC 2026
% Result : Theorem 4.10s 0.96s
% Output : Proof 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 25 unt; 0 def)
% Number of atoms : 33 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 19 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 16 ( 2 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,conjecture,
( ~ leq(tptp_float_0_001,tptp_float_0_001)
=> leq(s_worst7,n3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0020) ).
fof(f52_neg,negated_conjecture,
~ ( ~ leq(tptp_float_0_001,tptp_float_0_001)
=> leq(s_worst7,n3) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f52_nnf,plain,
( ~ leq(s_worst7,n3)
& ~ leq(tptp_float_0_001,tptp_float_0_001) ),
inference(nnf_transformation,[status(thm)],[f52_neg]) ).
fof(f52_sk,plain,
( ~ leq(s_worst7,n3)
& ~ leq(tptp_float_0_001,tptp_float_0_001) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c255,plain,
~ leq(tptp_float_0_001,tptp_float_0_001),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(t48,plain,
ifeq(leq(tptp_float_0_001,tptp_float_0_001),trueq,false,trueq) = trueq,
inference(equality_encoding,[status(esa)],[c255]) ).
fof(f3,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f3_nnf,plain,
! [X] : leq(X,X),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] : leq(X,X),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
leq(X0,X0),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t26,plain,
leq(X1,X1) = trueq,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t96,plain,
leq(X1,X1) = trueq,
inference(orient,[status(thm)],[t26]) ).
cnf(t265,plain,
ifeq(trueq,trueq,false,trueq) = trueq,
inference(step,[status(thm)],[t48,t96]) ).
cnf(t38,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t70,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t38]) ).
cnf(t266,plain,
false = trueq,
inference(step,[status(thm)],[t265,t70]) ).
cnf(t261,plain,
false = trueq,
inference(orient,[status(thm)],[t266]) ).
fof(f2,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f2_nnf,plain,
! [X] : ~ gt(X,X),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] : ~ gt(X,X),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
~ gt(X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f51,axiom,
def != use,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',defuse) ).
fof(f51_nnf,plain,
def != use,
inference(nnf_transformation,[status(thm)],[f51]) ).
fof(f51_sk,plain,
def != use,
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c254,plain,
def != use,
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
cnf(c256,plain,
~ leq(s_worst7,n3),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(goal_0,negated_conjecture,
trueq != false,
inference(equality_encoding,[status(esa)],[c2,c254,c255,c256]) ).
cnf(g0_0,plain,
trueq != trueq,
inference(rw,[status(thm)],[goal_0,t261]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV150+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 18:37:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.10/0.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.10/0.96 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------