%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP639+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n003.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 01:27:46 PM UTC 2026
% Result : Theorem 10.06s 4.06s
% Output : Proof 10.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 70 ( 16 unt; 0 def)
% Number of atoms : 296 ( 17 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 353 ( 127 ~; 138 |; 67 &)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 122 ( 2 sgn 74 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [A,B,C,D] :
( ( m1_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> k2_funct_2(A,B,C,D) = k9_relat_1(C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
fof(f42_nnf,plain,
! [A,B,C,D] :
( k2_funct_2(A,B,C,D) = k9_relat_1(C,D)
| ~ m1_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(nnf_transformation,[status(thm)],[f42]) ).
fof(f42_sk,plain,
! [C,A,B,D] :
( k2_funct_2(A,B,C,D) = k9_relat_1(C,D)
| ~ m1_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(skolemisation,[status(esa)],[f42_nnf]) ).
cnf(c81,plain,
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[status(esa)],[f42_sk]) ).
fof(f0,conjecture,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
=> r1_tarski(k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(k5_group_4(A,D)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_latsubgr) ).
fof(f0_neg,negated_conjecture,
~ ! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
=> r1_tarski(k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(k5_group_4(A,D)))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
? [A] :
( ? [B] :
( ? [C] :
( ? [D] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(k5_group_4(A,D))))
& m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
& l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(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,
( ~ r1_tarski(k2_funct_2(u1_struct_0(sk0),u1_struct_0(sk1),sk2,sk3),k2_funct_2(u1_struct_0(sk0),u1_struct_0(sk1),sk2,u1_struct_0(k5_group_4(sk0,sk3))))
& m1_subset_1(sk3,k1_zfmisc_1(u1_struct_0(sk0)))
& m2_relset_1(sk2,u1_struct_0(sk0),u1_struct_0(sk1))
& v1_funct_2(sk2,u1_struct_0(sk0),u1_struct_0(sk1))
& v1_funct_1(sk2)
& l1_group_1(sk1)
& v4_group_1(sk1)
& v3_group_1(sk1)
& ~ v3_struct_0(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,sk2,sk3])],[f0_nnf]) ).
cnf(c8,plain,
v1_funct_1(sk2),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p363,plain,
( k2_funct_2(X0,X1,sk2,X2) = k9_relat_1(sk2,X2)
| ~ m1_relset_1(sk2,X0,X1)
| ~ v1_funct_2(sk2,X0,X1) ),
inference(resolution,[status(thm)],[c81,c8]) ).
cnf(c9,plain,
v1_funct_2(sk2,u1_struct_0(sk0),u1_struct_0(sk1)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p1437,plain,
( k2_funct_2(u1_struct_0(sk0),u1_struct_0(sk1),sk2,X0) = k9_relat_1(sk2,X0)
| ~ m1_relset_1(sk2,u1_struct_0(sk0),u1_struct_0(sk1)) ),
inference(resolution,[status(thm)],[p363,c9]) ).
fof(f43,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f43_nnf,plain,
! [A,B,C] :
( ( ~ m1_relset_1(C,A,B)
| m2_relset_1(C,A,B) )
& ( m1_relset_1(C,A,B)
| ~ m2_relset_1(C,A,B) ) ),
inference(nnf_transformation,[status(thm)],[f43]) ).
fof(f43_sk,plain,
! [C,A,B] :
( ( ~ m1_relset_1(C,A,B)
| m2_relset_1(C,A,B) )
& ( m1_relset_1(C,A,B)
| ~ m2_relset_1(C,A,B) ) ),
inference(skolemisation,[status(esa)],[f43_nnf]) ).
cnf(c82,plain,
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(c10,plain,
m2_relset_1(sk2,u1_struct_0(sk0),u1_struct_0(sk1)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p380,plain,
m1_relset_1(sk2,u1_struct_0(sk0),u1_struct_0(sk1)),
inference(resolution,[status(thm)],[c82,c10]) ).
cnf(p1438,plain,
k2_funct_2(u1_struct_0(sk0),u1_struct_0(sk1),sk2,X0) = k9_relat_1(sk2,X0),
inference(resolution,[status(thm)],[p1437,p380]) ).
cnf(c12,plain,
~ r1_tarski(k2_funct_2(u1_struct_0(sk0),u1_struct_0(sk1),sk2,sk3),k2_funct_2(u1_struct_0(sk0),u1_struct_0(sk1),sk2,u1_struct_0(k5_group_4(sk0,sk3)))),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p1439,plain,
~ r1_tarski(k9_relat_1(sk2,sk3),k9_relat_1(sk2,u1_struct_0(k5_group_4(sk0,sk3)))),
inference(demodulation,[status(thm)],[p1438,c12]) ).
fof(f13,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ( m1_group_2(k5_group_4(A,B),A)
& v1_group_1(k5_group_4(A,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_group_4) ).
fof(f13_nnf,plain,
! [A,B] :
( ( m1_group_2(k5_group_4(A,B),A)
& v1_group_1(k5_group_4(A,B)) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [A,B] :
( ( m1_group_2(k5_group_4(A,B),A)
& v1_group_1(k5_group_4(A,B)) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c38,plain,
( m1_group_2(k5_group_4(X0,X1),X0)
| ~ m1_subset_1(X1,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)],[f13_sk]) ).
cnf(c1,plain,
v3_group_1(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p197,plain,
( m1_group_2(k5_group_4(sk0,X0),sk0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0)))
| ~ l1_group_1(sk0)
| ~ v4_group_1(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[c38,c1]) ).
cnf(c2,plain,
v4_group_1(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p893,plain,
( m1_group_2(k5_group_4(sk0,X0),sk0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0)))
| ~ l1_group_1(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p197,c2]) ).
cnf(c3,plain,
l1_group_1(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p909,plain,
( m1_group_2(k5_group_4(sk0,X0),sk0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0)))
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p893,c3]) ).
cnf(c11,plain,
m1_subset_1(sk3,k1_zfmisc_1(u1_struct_0(sk0))),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p910,plain,
( m1_group_2(k5_group_4(sk0,sk3),sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p909,c11]) ).
cnf(c37,plain,
( v1_group_1(k5_group_4(X0,X1))
| ~ m1_subset_1(X1,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)],[f13_sk]) ).
cnf(p182,plain,
( v1_group_1(k5_group_4(sk0,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0)))
| ~ l1_group_1(sk0)
| ~ v4_group_1(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[c37,c1]) ).
cnf(p184,plain,
( v1_group_1(k5_group_4(sk0,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0)))
| ~ l1_group_1(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p182,c2]) ).
cnf(p185,plain,
( v1_group_1(k5_group_4(sk0,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0)))
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p184,c3]) ).
cnf(p186,plain,
( v1_group_1(k5_group_4(sk0,sk3))
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p185,c11]) ).
fof(f7,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ! [C] :
( ( m1_group_2(C,A)
& v1_group_1(C) )
=> ( C = k5_group_4(A,B)
<=> ( ! [D] :
( ( m1_group_2(D,A)
& v1_group_1(D) )
=> ( r1_tarski(B,u1_struct_0(D))
=> m1_group_2(C,D) ) )
& r1_tarski(B,u1_struct_0(C)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_group_4) ).
fof(f7_nnf,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ? [D] :
( ~ m1_group_2(C,D)
& r1_tarski(B,u1_struct_0(D))
& m1_group_2(D,A)
& v1_group_1(D) )
| ~ r1_tarski(B,u1_struct_0(C))
| C = k5_group_4(A,B) )
& ( ( ! [D] :
( m1_group_2(C,D)
| ~ r1_tarski(B,u1_struct_0(D))
| ~ m1_group_2(D,A)
| ~ v1_group_1(D) )
& r1_tarski(B,u1_struct_0(C)) )
| C != k5_group_4(A,B) ) )
| ~ m1_group_2(C,A)
| ~ v1_group_1(C) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ 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,D] :
( ( ( ( ~ m1_group_2(C,sk4(A,B,C))
& r1_tarski(B,u1_struct_0(sk4(A,B,C)))
& m1_group_2(sk4(A,B,C),A)
& v1_group_1(sk4(A,B,C)) )
| ~ r1_tarski(B,u1_struct_0(C))
| C = k5_group_4(A,B) )
& ( ( ( m1_group_2(C,D)
| ~ r1_tarski(B,u1_struct_0(D))
| ~ m1_group_2(D,A)
| ~ v1_group_1(D) )
& r1_tarski(B,u1_struct_0(C)) )
| C != k5_group_4(A,B) ) )
| ~ m1_group_2(C,A)
| ~ v1_group_1(C)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f7_nnf]) ).
cnf(c25,plain,
( r1_tarski(X1,u1_struct_0(X2))
| X2 != k5_group_4(X0,X1)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_subset_1(X1,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)],[f7_sk]) ).
cnf(p121,plain,
( r1_tarski(X0,u1_struct_0(X1))
| X1 != k5_group_4(sk0,X0)
| ~ m1_group_2(X1,sk0)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0)))
| ~ l1_group_1(sk0)
| ~ v4_group_1(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[c25,c1]) ).
cnf(p124,plain,
( r1_tarski(X0,u1_struct_0(X1))
| X1 != k5_group_4(sk0,X0)
| ~ m1_group_2(X1,sk0)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0)))
| ~ l1_group_1(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p121,c2]) ).
cnf(p126,plain,
( r1_tarski(X0,u1_struct_0(X1))
| X1 != k5_group_4(sk0,X0)
| ~ m1_group_2(X1,sk0)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0)))
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p124,c3]) ).
cnf(p128,plain,
( r1_tarski(sk3,u1_struct_0(X0))
| X0 != k5_group_4(sk0,sk3)
| ~ m1_group_2(X0,sk0)
| ~ v1_group_1(X0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p126,c11]) ).
cnf(p131,plain,
( r1_tarski(sk3,u1_struct_0(k5_group_4(sk0,sk3)))
| ~ m1_group_2(k5_group_4(sk0,sk3),sk0)
| ~ v1_group_1(k5_group_4(sk0,sk3))
| v3_struct_0(sk0) ),
inference(equality_resolution,[status(thm)],[p128]) ).
cnf(p191,plain,
( r1_tarski(sk3,u1_struct_0(k5_group_4(sk0,sk3)))
| ~ m1_group_2(k5_group_4(sk0,sk3),sk0)
| v3_struct_0(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p186,p131]) ).
cnf(p215,plain,
( r1_tarski(sk3,u1_struct_0(k5_group_4(sk0,sk3)))
| ~ m1_group_2(k5_group_4(sk0,sk3),sk0)
| v3_struct_0(sk0) ),
inference(factoring,[status(thm)],[p191]) ).
cnf(p916,plain,
( r1_tarski(sk3,u1_struct_0(k5_group_4(sk0,sk3)))
| v3_struct_0(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p910,p215]) ).
cnf(p1028,plain,
( r1_tarski(sk3,u1_struct_0(k5_group_4(sk0,sk3)))
| v3_struct_0(sk0) ),
inference(factoring,[status(thm)],[p916]) ).
fof(f45,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( r1_tarski(A,B)
=> r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t156_relat_1) ).
fof(f45_nnf,plain,
! [A,B,C] :
( r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B))
| ~ r1_tarski(A,B)
| ~ v1_relat_1(C) ),
inference(nnf_transformation,[status(thm)],[f45]) ).
fof(f45_sk,plain,
! [C,A,B] :
( r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B))
| ~ r1_tarski(A,B)
| ~ v1_relat_1(C) ),
inference(skolemisation,[status(esa)],[f45_nnf]) ).
cnf(c85,plain,
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[status(esa)],[f45_sk]) ).
fof(f20,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f20_nnf,plain,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| ~ m2_relset_1(C,A,B) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [C,A,B] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| ~ m2_relset_1(C,A,B) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c47,plain,
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p228,plain,
m1_subset_1(sk2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sk0),u1_struct_0(sk1)))),
inference(resolution,[status(thm)],[c47,c10]) ).
fof(f4,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> v1_relat_1(C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f4_nnf,plain,
! [A,B,C] :
( v1_relat_1(C)
| ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [C,A,B] :
( v1_relat_1(C)
| ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c17,plain,
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p230,plain,
v1_relat_1(sk2),
inference(resolution,[status(thm)],[p228,c17]) ).
cnf(p424,plain,
( r1_tarski(k9_relat_1(sk2,X0),k9_relat_1(sk2,X1))
| ~ r1_tarski(X0,X1) ),
inference(resolution,[status(thm)],[c85,p230]) ).
cnf(p1029,plain,
( r1_tarski(k9_relat_1(sk2,sk3),k9_relat_1(sk2,u1_struct_0(k5_group_4(sk0,sk3))))
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p1028,p424]) ).
cnf(p1510,plain,
v3_struct_0(sk0),
inference(resolution,[status(thm)],[p1439,p1029]) ).
cnf(c0,plain,
~ v3_struct_0(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p1511,plain,
$false,
inference(resolution,[status(thm)],[p1510,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP639+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n003.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 : Wed Sep 23 15:24:49 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 10.06/4.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.06/4.06 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------