%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV140+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n017.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 03:12:21 PM UTC 2026
% Result : Theorem 39.20s 5.79s
% Output : Proof 39.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 13 unt; 0 def)
% Number of atoms : 203 ( 12 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 214 ( 58 ~; 66 |; 60 &)
% ( 2 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-1 aty)
% Number of variables : 56 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).
fof(f62_nnf,plain,
gt(n1,n0),
inference(nnf_transformation,[status(thm)],[f62]) ).
cnf(c279,plain,
gt(n1,n0),
inference(cnf_transformation,[status(esa)],[f62_nnf]) ).
fof(f9,axiom,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f9_nnf,plain,
! [X,Y] :
( ( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,Y] :
( ( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c12,plain,
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
fof(f52,conjecture,
( ( ( gt(loopcounter,n0)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv1341) )
=> leq(n0,s_sworst7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0010) ).
fof(f52_neg,negated_conjecture,
~ ( ( ( gt(loopcounter,n0)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv1341) )
=> leq(n0,s_sworst7) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f52_nnf,plain,
( ~ leq(n0,s_sworst7)
& ( leq(s_worst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(s_sworst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(s_best7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_worst7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_sworst7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_best7)
| ~ gt(loopcounter,n0) )
& ( leq(s_worst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_sworst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_best7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_worst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_sworst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv1341) ),
inference(nnf_transformation,[status(thm)],[f52_neg]) ).
fof(f52_sk,plain,
( ~ leq(n0,s_sworst7)
& ( leq(s_worst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(s_sworst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(s_best7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_worst7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_sworst7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_best7)
| ~ gt(loopcounter,n0) )
& ( leq(s_worst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_sworst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_best7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_worst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_sworst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv1341) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c264,plain,
( leq(n0,s_sworst7)
| ~ gt(loopcounter,n0) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
fof(f0,axiom,
! [X,Y] :
( X = Y
| gt(Y,X)
| gt(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality) ).
fof(f0_nnf,plain,
! [X,Y] :
( X = Y
| gt(Y,X)
| gt(X,Y) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( X = Y
| gt(Y,X)
| gt(X,Y) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p308,plain,
( loopcounter = n0
| gt(n0,loopcounter)
| leq(n0,s_sworst7) ),
inference(resolution,[status(thm)],[c264,c0]) ).
cnf(c269,plain,
~ leq(n0,s_sworst7),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p323,plain,
( loopcounter = n0
| gt(n0,loopcounter) ),
inference(resolution,[status(thm)],[p308,c269]) ).
cnf(p364,plain,
( loopcounter = n0
| leq(loopcounter,pred(n0)) ),
inference(resolution,[status(thm)],[c12,p323]) ).
fof(f4,axiom,
! [X,Y,Z] :
( ( leq(Y,Z)
& leq(X,Y) )
=> leq(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_leq) ).
fof(f4_nnf,plain,
! [X,Y,Z] :
( leq(X,Z)
| ~ leq(Y,Z)
| ~ leq(X,Y) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,Y,Z] :
( leq(X,Z)
| ~ leq(Y,Z)
| ~ leq(X,Y) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(c256,plain,
leq(n1,loopcounter),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p307,plain,
( leq(n1,X0)
| ~ leq(loopcounter,X0) ),
inference(resolution,[status(thm)],[c4,c256]) ).
cnf(p369,plain,
( leq(n1,pred(n0))
| loopcounter = n0 ),
inference(resolution,[status(thm)],[p364,p307]) ).
cnf(c11,plain,
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p389,plain,
( gt(n0,n1)
| loopcounter = n0 ),
inference(resolution,[status(thm)],[p369,c11]) ).
fof(f1,axiom,
! [X,Y,Z] :
( ( gt(Y,Z)
& gt(X,Y) )
=> gt(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_gt) ).
fof(f1_nnf,plain,
! [X,Y,Z] :
( gt(X,Z)
| ~ gt(Y,Z)
| ~ gt(X,Y) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y,Z] :
( gt(X,Z)
| ~ gt(Y,Z)
| ~ gt(X,Y) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p390,plain,
( gt(n0,X0)
| ~ gt(n1,X0)
| loopcounter = n0 ),
inference(resolution,[status(thm)],[p389,c1]) ).
cnf(p6142,plain,
( gt(n0,n0)
| loopcounter = n0 ),
inference(resolution,[status(thm)],[c279,p390]) ).
fof(f2,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox/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]) ).
cnf(p7700,plain,
loopcounter = n0,
inference(resolution,[status(thm)],[p6142,c2]) ).
cnf(p7701,plain,
leq(n1,n0),
inference(demodulation,[status(thm)],[p7700,c256]) ).
fof(f12,axiom,
! [X,Y] :
( leq(X,Y)
<=> gt(succ(Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f12_nnf,plain,
! [X,Y] :
( ( ~ gt(succ(Y),X)
| leq(X,Y) )
& ( gt(succ(Y),X)
| ~ leq(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X,Y] :
( ( ~ gt(succ(Y),X)
| leq(X,Y) )
& ( gt(succ(Y),X)
| ~ leq(X,Y) ) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c15,plain,
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p10126,plain,
gt(n1,n1),
inference(resolution,[status(thm)],[p7701,c15]) ).
cnf(p10271,plain,
$false,
inference(resolution,[status(thm)],[p10126,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV140+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 18:31:16 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 39.20/5.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.20/5.79 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------