%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM853+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/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 02:21:12 PM UTC 2026
% Result : Theorem 239.99s 35.07s
% Output : Proof 239.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 13 unt; 0 def)
% Number of atoms : 54 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 22 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [Vd203,Vd204] :
( less(Vd203,Vd204)
| greater(Vd203,Vd204)
| Vd203 = Vd204 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qtd17) ).
fof(f17_nnf,plain,
! [Vd203,Vd204] :
( less(Vd203,Vd204)
| greater(Vd203,Vd204)
| Vd203 = Vd204 ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [Vd203,Vd204] :
( less(Vd203,Vd204)
| greater(Vd203,Vd204)
| Vd203 = Vd204 ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c18,plain,
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
fof(f2,axiom,
! [Vd456,Vd465,Vd466] :
( less(Vd465,Vd466)
=> less(vmul(Vd465,Vd456),vmul(Vd466,Vd456)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qtd2) ).
fof(f2_nnf,plain,
! [Vd456,Vd465,Vd466] :
( less(vmul(Vd465,Vd456),vmul(Vd466,Vd456))
| ~ less(Vd465,Vd466) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [Vd465,Vd466,Vd456] :
( less(vmul(Vd465,Vd456),vmul(Vd466,Vd456))
| ~ less(Vd465,Vd466) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( less(vmul(X1,X0),vmul(X2,X0))
| ~ less(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p145,plain,
( less(vmul(X0,X2),vmul(X1,X2))
| greater(X0,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[c18,c2]) ).
fof(f19,axiom,
! [Vd203,Vd204] :
( ~ less(Vd203,Vd204)
| ~ greater(Vd203,Vd204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qtd19) ).
fof(f19_nnf,plain,
! [Vd203,Vd204] :
( ~ less(Vd203,Vd204)
| ~ greater(Vd203,Vd204) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [Vd203,Vd204] :
( ~ less(Vd203,Vd204)
| ~ greater(Vd203,Vd204) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c20,plain,
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
fof(f1,axiom,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qtd1) ).
fof(f1_nnf,plain,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(p47,plain,
~ less(vmul(vd486,vd487),vmul(vd488,vd487)),
inference(resolution,[status(thm)],[c20,c1]) ).
cnf(p3176,plain,
( greater(vd486,vd488)
| vd486 = vd488 ),
inference(resolution,[status(thm)],[p145,p47]) ).
fof(f0,conjecture,
greater(vd486,vd488),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qtd0) ).
fof(f0_neg,negated_conjecture,
~ greater(vd486,vd488),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
~ greater(vd486,vd488),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
~ greater(vd486,vd488),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
~ greater(vd486,vd488),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p3214,plain,
vd486 = vd488,
inference(resolution,[status(thm)],[p3176,c0]) ).
cnf(p3215,plain,
greater(vmul(vd486,vd487),vmul(vd486,vd487)),
inference(superposition,[status(thm)],[p3214,c1]) ).
fof(f20,axiom,
! [Vd203,Vd204] :
( ~ greater(Vd203,Vd204)
| Vd203 != Vd204 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qtd20) ).
fof(f20_nnf,plain,
! [Vd203,Vd204] :
( ~ greater(Vd203,Vd204)
| Vd203 != Vd204 ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [Vd203,Vd204] :
( ~ greater(Vd203,Vd204)
| Vd203 != Vd204 ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c21,plain,
( ~ greater(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p49,plain,
~ greater(X0,X0),
inference(equality_resolution,[status(thm)],[c21]) ).
cnf(p3252,plain,
$false,
inference(resolution,[status(thm)],[p3215,p49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM853+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 05:39:42 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 239.99/35.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 239.99/35.07 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------