%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP642+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 01:27:47 PM UTC 2026
% Result : Theorem 5.92s 1.31s
% Output : Proof 5.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 71 ( 11 unt; 0 def)
% Number of atoms : 311 ( 31 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 388 ( 148 ~; 177 |; 50 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 28 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ( m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& v1_funct_1(k1_latsubgr(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(f11_nnf,plain,
! [A] :
( ( m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& v1_funct_1(k1_latsubgr(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [A] :
( ( m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& v1_funct_1(k1_latsubgr(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c27,plain,
( v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
fof(f0,conjecture,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_group_2(B,A)
& v1_group_1(B) )
=> k1_funct_1(k1_latsubgr(A),B) != k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_latsubgr) ).
fof(f0_neg,negated_conjecture,
~ ! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_group_2(B,A)
& v1_group_1(B) )
=> k1_funct_1(k1_latsubgr(A),B) != k1_xboole_0 ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
? [A] :
( ? [B] :
( k1_funct_1(k1_latsubgr(A),B) = k1_xboole_0
& m1_group_2(B,A)
& v1_group_1(B) )
& l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
( k1_funct_1(k1_latsubgr(sk0),sk1) = k1_xboole_0
& m1_group_2(sk1,sk0)
& v1_group_1(sk1)
& l1_group_1(sk0)
& v4_group_1(sk0)
& v3_group_1(sk0)
& ~ v3_struct_0(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f0_nnf]) ).
cnf(c1,plain,
v3_group_1(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p149,plain,
( v1_funct_1(k1_latsubgr(sk0))
| ~ l1_group_1(sk0)
| ~ v4_group_1(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[c27,c1]) ).
cnf(c2,plain,
v4_group_1(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p150,plain,
( v1_funct_1(k1_latsubgr(sk0))
| ~ l1_group_1(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p149,c2]) ).
cnf(c3,plain,
l1_group_1(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p151,plain,
( v1_funct_1(k1_latsubgr(sk0))
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p150,c3]) ).
fof(f7,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& v1_funct_1(B) )
=> ( B = k1_latsubgr(A)
<=> ! [C] :
( ( m1_group_2(C,A)
& v1_group_1(C) )
=> k1_funct_1(B,C) = u1_struct_0(C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(f7_nnf,plain,
! [A] :
( ! [B] :
( ( ( ? [C] :
( k1_funct_1(B,C) != u1_struct_0(C)
& m1_group_2(C,A)
& v1_group_1(C) )
| B = k1_latsubgr(A) )
& ( ! [C] :
( k1_funct_1(B,C) = u1_struct_0(C)
| ~ m1_group_2(C,A)
| ~ v1_group_1(C) )
| B != k1_latsubgr(A) ) )
| ~ m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_funct_1(B) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [A,B,C] :
( ( ( ( k1_funct_1(B,sk2(A,B)) != u1_struct_0(sk2(A,B))
& m1_group_2(sk2(A,B),A)
& v1_group_1(sk2(A,B)) )
| B = k1_latsubgr(A) )
& ( k1_funct_1(B,C) = u1_struct_0(C)
| ~ m1_group_2(C,A)
| ~ v1_group_1(C)
| B != k1_latsubgr(A) ) )
| ~ m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_funct_1(B)
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f7_nnf]) ).
cnf(c19,plain,
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| X1 != k1_latsubgr(X0)
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p114,plain,
( k1_funct_1(X0,X1) = u1_struct_0(X1)
| ~ m1_group_2(X1,sk0)
| ~ v1_group_1(X1)
| X0 != k1_latsubgr(sk0)
| ~ m2_relset_1(X0,k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| ~ v1_funct_2(X0,k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| ~ v1_funct_1(X0)
| ~ l1_group_1(sk0)
| ~ v4_group_1(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[c19,c1]) ).
cnf(p116,plain,
( k1_funct_1(X0,X1) = u1_struct_0(X1)
| ~ m1_group_2(X1,sk0)
| ~ v1_group_1(X1)
| X0 != k1_latsubgr(sk0)
| ~ m2_relset_1(X0,k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| ~ v1_funct_2(X0,k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| ~ v1_funct_1(X0)
| ~ l1_group_1(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p114,c2]) ).
cnf(p118,plain,
( k1_funct_1(X0,X1) = u1_struct_0(X1)
| ~ m1_group_2(X1,sk0)
| ~ v1_group_1(X1)
| X0 != k1_latsubgr(sk0)
| ~ m2_relset_1(X0,k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| ~ v1_funct_2(X0,k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| ~ v1_funct_1(X0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p116,c3]) ).
cnf(p119,plain,
( k1_funct_1(k1_latsubgr(sk0),X0) = u1_struct_0(X0)
| ~ m1_group_2(X0,sk0)
| ~ v1_group_1(X0)
| ~ m2_relset_1(k1_latsubgr(sk0),k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| ~ v1_funct_2(k1_latsubgr(sk0),k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| ~ v1_funct_1(k1_latsubgr(sk0))
| v3_struct_0(sk0) ),
inference(equality_resolution,[status(thm)],[p118]) ).
cnf(p153,plain,
( k1_funct_1(k1_latsubgr(sk0),X0) = u1_struct_0(X0)
| ~ m1_group_2(X0,sk0)
| ~ v1_group_1(X0)
| ~ m2_relset_1(k1_latsubgr(sk0),k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| ~ v1_funct_2(k1_latsubgr(sk0),k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| v3_struct_0(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p151,p119]) ).
cnf(p162,plain,
( k1_funct_1(k1_latsubgr(sk0),X0) = u1_struct_0(X0)
| ~ m1_group_2(X0,sk0)
| ~ v1_group_1(X0)
| ~ m2_relset_1(k1_latsubgr(sk0),k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| ~ v1_funct_2(k1_latsubgr(sk0),k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| v3_struct_0(sk0) ),
inference(factoring,[status(thm)],[p153]) ).
cnf(c28,plain,
( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p156,plain,
( v1_funct_2(k1_latsubgr(sk0),k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| ~ l1_group_1(sk0)
| ~ v4_group_1(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[c28,c1]) ).
cnf(p157,plain,
( v1_funct_2(k1_latsubgr(sk0),k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| ~ l1_group_1(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p156,c2]) ).
cnf(p158,plain,
( v1_funct_2(k1_latsubgr(sk0),k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p157,c3]) ).
cnf(p166,plain,
( v3_struct_0(sk0)
| k1_funct_1(k1_latsubgr(sk0),X0) = u1_struct_0(X0)
| ~ m1_group_2(X0,sk0)
| ~ v1_group_1(X0)
| ~ m2_relset_1(k1_latsubgr(sk0),k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p162,p158]) ).
cnf(p493,plain,
( k1_funct_1(k1_latsubgr(sk0),X0) = u1_struct_0(X0)
| ~ m1_group_2(X0,sk0)
| ~ v1_group_1(X0)
| ~ m2_relset_1(k1_latsubgr(sk0),k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| v3_struct_0(sk0) ),
inference(factoring,[status(thm)],[p166]) ).
cnf(c29,plain,
( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p159,plain,
( m2_relset_1(k1_latsubgr(sk0),k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| ~ l1_group_1(sk0)
| ~ v4_group_1(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[c29,c1]) ).
cnf(p160,plain,
( m2_relset_1(k1_latsubgr(sk0),k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| ~ l1_group_1(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p159,c2]) ).
cnf(p161,plain,
( m2_relset_1(k1_latsubgr(sk0),k1_group_3(sk0),k1_zfmisc_1(u1_struct_0(sk0)))
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p160,c3]) ).
cnf(p611,plain,
( v3_struct_0(sk0)
| k1_funct_1(k1_latsubgr(sk0),X0) = u1_struct_0(X0)
| ~ m1_group_2(X0,sk0)
| ~ v1_group_1(X0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p493,p161]) ).
cnf(p612,plain,
( k1_funct_1(k1_latsubgr(sk0),X0) = u1_struct_0(X0)
| ~ m1_group_2(X0,sk0)
| ~ v1_group_1(X0)
| v3_struct_0(sk0) ),
inference(factoring,[status(thm)],[p611]) ).
cnf(c4,plain,
v1_group_1(sk1),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p613,plain,
( k1_xboole_0 = u1_struct_0(sk1)
| ~ m1_group_2(sk1,sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p612,c4]) ).
cnf(c5,plain,
m1_group_2(sk1,sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p616,plain,
( k1_xboole_0 = u1_struct_0(sk1)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p613,c5]) ).
fof(f30,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f30_nnf,plain,
! [A] :
( ~ v1_xboole_0(u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [A] :
( ~ v1_xboole_0(u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c52,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
fof(f17,axiom,
! [A] :
( ( l1_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ( l1_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f17_nnf,plain,
! [A] :
( ! [B] :
( ( l1_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
| ~ m1_group_2(B,A) )
| ~ l1_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [A,B] :
( ( l1_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
| ~ m1_group_2(B,A)
| ~ l1_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c37,plain,
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p179,plain,
( l1_group_1(X0)
| ~ m1_group_2(X0,sk0)
| ~ l1_group_1(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[c37,c1]) ).
cnf(p181,plain,
( l1_group_1(X0)
| ~ m1_group_2(X0,sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p179,c3]) ).
cnf(p182,plain,
( l1_group_1(sk1)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p181,c5]) ).
fof(f15,axiom,
! [A] :
( l1_group_1(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f15_nnf,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_group_1(A) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_group_1(A) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c33,plain,
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p184,plain,
( l1_struct_0(sk1)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p182,c33]) ).
cnf(p239,plain,
( v3_struct_0(sk0)
| ~ v1_xboole_0(u1_struct_0(sk1))
| v3_struct_0(sk1) ),
inference(resolution,[status(thm)],[c52,p184]) ).
cnf(p621,plain,
( v3_struct_0(sk0)
| ~ v1_xboole_0(k1_xboole_0)
| v3_struct_0(sk1)
| v3_struct_0(sk0) ),
inference(superposition,[status(thm)],[p616,p239]) ).
cnf(p669,plain,
( ~ v1_xboole_0(k1_xboole_0)
| v3_struct_0(sk1)
| v3_struct_0(sk0) ),
inference(factoring,[status(thm)],[p621]) ).
fof(f32,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f32_nnf,plain,
v1_xboole_0(k1_xboole_0),
inference(nnf_transformation,[status(thm)],[f32]) ).
cnf(c54,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[status(esa)],[f32_nnf]) ).
cnf(p670,plain,
( v3_struct_0(sk1)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p669,c54]) ).
cnf(c35,plain,
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p163,plain,
( ~ v3_struct_0(X0)
| ~ m1_group_2(X0,sk0)
| ~ l1_group_1(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[c35,c1]) ).
cnf(p164,plain,
( ~ v3_struct_0(X0)
| ~ m1_group_2(X0,sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p163,c3]) ).
cnf(p165,plain,
( ~ v3_struct_0(sk1)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p164,c5]) ).
cnf(p672,plain,
( v3_struct_0(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p670,p165]) ).
cnf(p673,plain,
v3_struct_0(sk0),
inference(factoring,[status(thm)],[p672]) ).
cnf(c0,plain,
~ v3_struct_0(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p674,plain,
$false,
inference(resolution,[status(thm)],[p673,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP642+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n015.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 : Wed Sep 23 15:27:54 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.92/1.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.92/1.31 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------