%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM852+1 : TPTP v9.3.1. Released v4.1.0.
% 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 02:21:12 PM UTC 2026
% Result : Theorem 173.66s 22.68s
% Output : Proof 173.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 31 unt; 0 def)
% Number of atoms : 39 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 3 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 2 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd10) ).
fof(f10_nnf,plain,
! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
fof(f7,axiom,
! [Vd470,Vd471] :
( greater(Vd470,Vd471)
=> Vd470 = vplus(Vd471,vskolem9(Vd470,Vd471)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd7) ).
fof(f7_nnf,plain,
! [Vd470,Vd471] :
( Vd470 = vplus(Vd471,vskolem9(Vd470,Vd471))
| ~ greater(Vd470,Vd471) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [Vd470,Vd471] :
( Vd470 = vplus(Vd471,vskolem9(Vd470,Vd471))
| ~ greater(Vd470,Vd471) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( X0 = vplus(X1,vskolem9(X0,X1))
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
fof(f1,axiom,
greater(vd481,vd480),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd1) ).
fof(f1_nnf,plain,
greater(vd481,vd480),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
greater(vd481,vd480),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(p83,plain,
vd481 = vplus(vd480,vskolem9(vd481,vd480)),
inference(resolution,[status(thm)],[c7,c1]) ).
fof(f48,axiom,
! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd48) ).
fof(f48_nnf,plain,
! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79),
inference(nnf_transformation,[status(thm)],[f48]) ).
fof(f48_sk,plain,
! [Vd79,Vd78] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79),
inference(skolemisation,[status(esa)],[f48_nnf]) ).
cnf(c57,plain,
vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[status(esa)],[f48_sk]) ).
cnf(p295,plain,
vplus(vd480,vskolem9(vd481,vd480)) = vd481,
inference(superposition,[status(thm)],[p83,c57]) ).
fof(f9,axiom,
! [Vd432,Vd433,Vd434] : vmul(Vd432,vplus(Vd433,Vd434)) = vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd9) ).
fof(f9_nnf,plain,
! [Vd432,Vd433,Vd434] : vmul(Vd432,vplus(Vd433,Vd434)) = vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [Vd432,Vd433,Vd434] : vmul(Vd432,vplus(Vd433,Vd434)) = vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
fof(f26,axiom,
! [Vd295,Vd296] : greater(vplus(Vd295,Vd296),Vd295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd26) ).
fof(f26_nnf,plain,
! [Vd295,Vd296] : greater(vplus(Vd295,Vd296),Vd295),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [Vd295,Vd296] : greater(vplus(Vd295,Vd296),Vd295),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c28,plain,
greater(vplus(X0,X1),X0),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p100,plain,
greater(vmul(X0,vplus(X1,X2)),vmul(X0,X1)),
inference(superposition,[status(thm)],[c9,c28]) ).
cnf(p1734,plain,
greater(vmul(X0,vd481),vmul(X0,vd480)),
inference(superposition,[status(thm)],[p295,p100]) ).
cnf(p4777,plain,
greater(vmul(vd481,X0),vmul(X0,vd480)),
inference(superposition,[status(thm)],[c10,p1734]) ).
fof(f0,conjecture,
greater(vmul(vd481,vd469),vmul(vd480,vd469)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd0) ).
fof(f0_neg,negated_conjecture,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p80,plain,
~ greater(vmul(vd481,vd469),vmul(vd469,vd480)),
inference(superposition,[status(thm)],[c10,c0]) ).
cnf(p8764,plain,
$false,
inference(resolution,[status(thm)],[p4777,p80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM852+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 05:39:11 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 173.66/22.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 173.66/22.68 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------