%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU448+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 : n002.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 02:52:09 PM UTC 2026
% Result : Theorem 86.32s 12.81s
% Output : Proof 86.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 97 ( 25 unt; 0 def)
% Number of atoms : 229 ( 11 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 224 ( 92 ~; 93 |; 16 &)
% ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 172 ( 5 sgn 106 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(B))
=> ! [E] :
( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> ( r1_xboole_0(C,k9_relat_1(k4_relat_1(E),D))
<=> r1_xboole_0(D,k9_relat_1(E,C)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_relset_2) ).
fof(f42_nnf,plain,
! [A,B,C] :
( ! [D] :
( ! [E] :
( ( ( ~ r1_xboole_0(D,k9_relat_1(E,C))
| r1_xboole_0(C,k9_relat_1(k4_relat_1(E),D)) )
& ( r1_xboole_0(D,k9_relat_1(E,C))
| ~ r1_xboole_0(C,k9_relat_1(k4_relat_1(E),D)) ) )
| ~ m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) )
| ~ m1_subset_1(D,k1_zfmisc_1(B)) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) ),
inference(nnf_transformation,[status(thm)],[f42]) ).
fof(f42_sk,plain,
! [C,A,D,B,E] :
( ( ( ~ r1_xboole_0(D,k9_relat_1(E,C))
| r1_xboole_0(C,k9_relat_1(k4_relat_1(E),D)) )
& ( r1_xboole_0(D,k9_relat_1(E,C))
| ~ r1_xboole_0(C,k9_relat_1(k4_relat_1(E),D)) ) )
| ~ m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| ~ m1_subset_1(D,k1_zfmisc_1(B))
| ~ m1_subset_1(C,k1_zfmisc_1(A)) ),
inference(skolemisation,[status(esa)],[f42_nnf]) ).
cnf(c61,plain,
( r1_xboole_0(X3,k9_relat_1(X4,X2))
| ~ r1_xboole_0(X2,k9_relat_1(k4_relat_1(X4),X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f42_sk]) ).
fof(f8,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> m1_subset_1(k3_subset_1(A,B),k1_zfmisc_1(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(f8_nnf,plain,
! [A,B] :
( m1_subset_1(k3_subset_1(A,B),k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [B,A] :
( m1_subset_1(k3_subset_1(A,B),k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c14,plain,
( m1_subset_1(k3_subset_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
fof(f0,conjecture,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(B))
=> ! [E] :
( m2_relset_1(E,A,B)
=> ( r1_tarski(k10_relset_1(A,B,E,k3_subset_1(A,C)),k3_subset_1(B,D))
<=> r1_tarski(k10_relset_1(B,A,k6_relset_1(A,B,E),D),C) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_relset_2) ).
fof(f0_neg,negated_conjecture,
~ ! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(B))
=> ! [E] :
( m2_relset_1(E,A,B)
=> ( r1_tarski(k10_relset_1(A,B,E,k3_subset_1(A,C)),k3_subset_1(B,D))
<=> r1_tarski(k10_relset_1(B,A,k6_relset_1(A,B,E),D),C) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
? [A,B,C] :
( ? [D] :
( ? [E] :
( ( ( r1_tarski(k10_relset_1(B,A,k6_relset_1(A,B,E),D),C)
& ~ r1_tarski(k10_relset_1(A,B,E,k3_subset_1(A,C)),k3_subset_1(B,D)) )
| ( ~ r1_tarski(k10_relset_1(B,A,k6_relset_1(A,B,E),D),C)
& r1_tarski(k10_relset_1(A,B,E,k3_subset_1(A,C)),k3_subset_1(B,D)) ) )
& m2_relset_1(E,A,B) )
& m1_subset_1(D,k1_zfmisc_1(B)) )
& m1_subset_1(C,k1_zfmisc_1(A)) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
( ( ( r1_tarski(k10_relset_1(sk1,sk0,k6_relset_1(sk0,sk1,sk4),sk3),sk2)
& ~ r1_tarski(k10_relset_1(sk0,sk1,sk4,k3_subset_1(sk0,sk2)),k3_subset_1(sk1,sk3)) )
| ( ~ r1_tarski(k10_relset_1(sk1,sk0,k6_relset_1(sk0,sk1,sk4),sk3),sk2)
& r1_tarski(k10_relset_1(sk0,sk1,sk4,k3_subset_1(sk0,sk2)),k3_subset_1(sk1,sk3)) ) )
& m2_relset_1(sk4,sk0,sk1)
& m1_subset_1(sk3,k1_zfmisc_1(sk1))
& m1_subset_1(sk2,k1_zfmisc_1(sk0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3,sk4])],[f0_nnf]) ).
cnf(c0,plain,
m1_subset_1(sk2,k1_zfmisc_1(sk0)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p69,plain,
m1_subset_1(k3_subset_1(sk0,sk2),k1_zfmisc_1(sk0)),
inference(resolution,[status(thm)],[c14,c0]) ).
cnf(p379,plain,
( r1_xboole_0(X0,k9_relat_1(X2,k3_subset_1(sk0,sk2)))
| ~ r1_xboole_0(k3_subset_1(sk0,sk2),k9_relat_1(k4_relat_1(X2),X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(sk0,X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(resolution,[status(thm)],[c61,p69]) ).
cnf(c1,plain,
m1_subset_1(sk3,k1_zfmisc_1(sk1)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p1164,plain,
( r1_xboole_0(sk3,k9_relat_1(X0,k3_subset_1(sk0,sk2)))
| ~ r1_xboole_0(k3_subset_1(sk0,sk2),k9_relat_1(k4_relat_1(X0),sk3))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sk0,sk1))) ),
inference(resolution,[status(thm)],[p379,c1]) ).
fof(f14,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(f14_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)],[f14]) ).
fof(f14_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)],[f14_nnf]) ).
cnf(c20,plain,
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(c2,plain,
m2_relset_1(sk4,sk0,sk1),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p87,plain,
m1_subset_1(sk4,k1_zfmisc_1(k2_zfmisc_1(sk0,sk1))),
inference(resolution,[status(thm)],[c20,c2]) ).
cnf(p12391,plain,
( r1_xboole_0(sk3,k9_relat_1(sk4,k3_subset_1(sk0,sk2)))
| ~ r1_xboole_0(k3_subset_1(sk0,sk2),k9_relat_1(k4_relat_1(sk4),sk3)) ),
inference(resolution,[status(thm)],[p1164,p87]) ).
cnf(p378,plain,
( r1_xboole_0(X0,k9_relat_1(X2,sk3))
| ~ r1_xboole_0(sk3,k9_relat_1(k4_relat_1(X2),X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(sk1,X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(resolution,[status(thm)],[c61,c1]) ).
cnf(p1134,plain,
( r1_xboole_0(k3_subset_1(sk0,sk2),k9_relat_1(X0,sk3))
| ~ r1_xboole_0(sk3,k9_relat_1(k4_relat_1(X0),k3_subset_1(sk0,sk2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sk1,sk0))) ),
inference(resolution,[status(thm)],[p378,p69]) ).
fof(f34,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(f34_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)],[f34]) ).
fof(f34_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)],[f34_nnf]) ).
cnf(c49,plain,
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
cnf(p220,plain,
m1_relset_1(sk4,sk0,sk1),
inference(resolution,[status(thm)],[c49,c2]) ).
fof(f33,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> k6_relset_1(A,B,C) = k4_relat_1(C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f33_nnf,plain,
! [A,B,C] :
( k6_relset_1(A,B,C) = k4_relat_1(C)
| ~ m1_relset_1(C,A,B) ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
! [C,A,B] :
( k6_relset_1(A,B,C) = k4_relat_1(C)
| ~ m1_relset_1(C,A,B) ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c48,plain,
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(p229,plain,
k6_relset_1(sk0,sk1,sk4) = k4_relat_1(sk4),
inference(resolution,[status(thm)],[p220,c48]) ).
fof(f10,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> m2_relset_1(k6_relset_1(A,B,C),B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f10_nnf,plain,
! [A,B,C] :
( m2_relset_1(k6_relset_1(A,B,C),B,A)
| ~ m1_relset_1(C,A,B) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [C,A,B] :
( m2_relset_1(k6_relset_1(A,B,C),B,A)
| ~ m1_relset_1(C,A,B) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c16,plain,
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p223,plain,
m2_relset_1(k6_relset_1(sk0,sk1,sk4),sk1,sk0),
inference(resolution,[status(thm)],[p220,c16]) ).
cnf(p230,plain,
m2_relset_1(k4_relat_1(sk4),sk1,sk0),
inference(demodulation,[status(thm)],[p229,p223]) ).
cnf(p234,plain,
m1_subset_1(k4_relat_1(sk4),k1_zfmisc_1(k2_zfmisc_1(sk1,sk0))),
inference(resolution,[status(thm)],[p230,c20]) ).
cnf(p11526,plain,
( r1_xboole_0(k3_subset_1(sk0,sk2),k9_relat_1(k4_relat_1(sk4),sk3))
| ~ r1_xboole_0(sk3,k9_relat_1(sk4,k3_subset_1(sk0,sk2))) ),
inference(resolution,[status(thm)],[p1134,p234]) ).
fof(f40,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ( r1_xboole_0(B,C)
<=> r1_tarski(B,k3_subset_1(A,C)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_subset_1) ).
fof(f40_nnf,plain,
! [A,B] :
( ! [C] :
( ( ( ~ r1_tarski(B,k3_subset_1(A,C))
| r1_xboole_0(B,C) )
& ( r1_tarski(B,k3_subset_1(A,C))
| ~ r1_xboole_0(B,C) ) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [B,A,C] :
( ( ( ~ r1_tarski(B,k3_subset_1(A,C))
| r1_xboole_0(B,C) )
& ( r1_tarski(B,k3_subset_1(A,C))
| ~ r1_xboole_0(B,C) ) )
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c58,plain,
( ~ r1_tarski(X1,k3_subset_1(X0,X2))
| r1_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
fof(f32,axiom,
! [A,B,C,D] :
( m1_relset_1(C,A,B)
=> k10_relset_1(A,B,C,D) = k9_relat_1(C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k10_relset_1) ).
fof(f32_nnf,plain,
! [A,B,C,D] :
( k10_relset_1(A,B,C,D) = k9_relat_1(C,D)
| ~ m1_relset_1(C,A,B) ),
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_sk,plain,
! [C,A,B,D] :
( k10_relset_1(A,B,C,D) = k9_relat_1(C,D)
| ~ m1_relset_1(C,A,B) ),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c47,plain,
( k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(p225,plain,
k10_relset_1(sk0,sk1,sk4,X0) = k9_relat_1(sk4,X0),
inference(resolution,[status(thm)],[p220,c47]) ).
fof(f4,axiom,
! [A,B,C,D] :
( m1_relset_1(C,A,B)
=> m1_subset_1(k10_relset_1(A,B,C,D),k1_zfmisc_1(B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_relset_1) ).
fof(f4_nnf,plain,
! [A,B,C,D] :
( m1_subset_1(k10_relset_1(A,B,C,D),k1_zfmisc_1(B))
| ~ m1_relset_1(C,A,B) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [C,A,B,D] :
( m1_subset_1(k10_relset_1(A,B,C,D),k1_zfmisc_1(B))
| ~ m1_relset_1(C,A,B) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c10,plain,
( m1_subset_1(k10_relset_1(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p222,plain,
m1_subset_1(k10_relset_1(sk0,sk1,sk4,X0),k1_zfmisc_1(sk1)),
inference(resolution,[status(thm)],[p220,c10]) ).
cnf(p228,plain,
m1_subset_1(k9_relat_1(sk4,X0),k1_zfmisc_1(sk1)),
inference(demodulation,[status(thm)],[p225,p222]) ).
cnf(p315,plain,
( ~ r1_tarski(k9_relat_1(sk4,X1),k3_subset_1(sk1,X0))
| r1_xboole_0(k9_relat_1(sk4,X1),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sk1)) ),
inference(resolution,[status(thm)],[c58,p228]) ).
cnf(p816,plain,
( ~ r1_tarski(k9_relat_1(sk4,X0),k3_subset_1(sk1,sk3))
| r1_xboole_0(k9_relat_1(sk4,X0),sk3) ),
inference(resolution,[status(thm)],[p315,c1]) ).
cnf(p235,plain,
m1_relset_1(k4_relat_1(sk4),sk1,sk0),
inference(resolution,[status(thm)],[p230,c49]) ).
cnf(p239,plain,
k10_relset_1(sk1,sk0,k4_relat_1(sk4),X0) = k9_relat_1(k4_relat_1(sk4),X0),
inference(resolution,[status(thm)],[p235,c47]) ).
cnf(c4,plain,
( r1_tarski(k10_relset_1(sk1,sk0,k6_relset_1(sk0,sk1,sk4),sk3),sk2)
| r1_tarski(k10_relset_1(sk0,sk1,sk4,k3_subset_1(sk0,sk2)),k3_subset_1(sk1,sk3)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p226,plain,
( r1_tarski(k10_relset_1(sk1,sk0,k6_relset_1(sk0,sk1,sk4),sk3),sk2)
| r1_tarski(k9_relat_1(sk4,k3_subset_1(sk0,sk2)),k3_subset_1(sk1,sk3)) ),
inference(demodulation,[status(thm)],[p225,c4]) ).
cnf(p232,plain,
( r1_tarski(k10_relset_1(sk1,sk0,k4_relat_1(sk4),sk3),sk2)
| r1_tarski(k9_relat_1(sk4,k3_subset_1(sk0,sk2)),k3_subset_1(sk1,sk3)) ),
inference(demodulation,[status(thm)],[p229,p226]) ).
cnf(p240,plain,
( r1_tarski(k9_relat_1(k4_relat_1(sk4),sk3),sk2)
| r1_tarski(k9_relat_1(sk4,k3_subset_1(sk0,sk2)),k3_subset_1(sk1,sk3)) ),
inference(demodulation,[status(thm)],[p239,p232]) ).
cnf(p845,plain,
( r1_tarski(k9_relat_1(k4_relat_1(sk4),sk3),sk2)
| r1_xboole_0(k9_relat_1(sk4,k3_subset_1(sk0,sk2)),sk3) ),
inference(resolution,[status(thm)],[p816,p240]) ).
fof(f36,axiom,
! [A,B] :
( r1_xboole_0(A,B)
=> r1_xboole_0(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f36_nnf,plain,
! [A,B] :
( r1_xboole_0(B,A)
| ~ r1_xboole_0(A,B) ),
inference(nnf_transformation,[status(thm)],[f36]) ).
fof(f36_sk,plain,
! [A,B] :
( r1_xboole_0(B,A)
| ~ r1_xboole_0(A,B) ),
inference(skolemisation,[status(esa)],[f36_nnf]) ).
cnf(c52,plain,
( r1_xboole_0(X1,X0)
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f36_sk]) ).
cnf(p854,plain,
( r1_xboole_0(sk3,k9_relat_1(sk4,k3_subset_1(sk0,sk2)))
| r1_tarski(k9_relat_1(k4_relat_1(sk4),sk3),sk2) ),
inference(resolution,[status(thm)],[p845,c52]) ).
cnf(p11541,plain,
( r1_tarski(k9_relat_1(k4_relat_1(sk4),sk3),sk2)
| r1_xboole_0(k3_subset_1(sk0,sk2),k9_relat_1(k4_relat_1(sk4),sk3)) ),
inference(resolution,[status(thm)],[p11526,p854]) ).
cnf(p11542,plain,
( r1_xboole_0(k9_relat_1(k4_relat_1(sk4),sk3),k3_subset_1(sk0,sk2))
| r1_tarski(k9_relat_1(k4_relat_1(sk4),sk3),sk2) ),
inference(resolution,[status(thm)],[p11541,c52]) ).
cnf(c57,plain,
( r1_tarski(X1,k3_subset_1(X0,X2))
| ~ r1_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(p236,plain,
m1_subset_1(k10_relset_1(sk1,sk0,k4_relat_1(sk4),X0),k1_zfmisc_1(sk0)),
inference(resolution,[status(thm)],[p235,c10]) ).
cnf(p242,plain,
m1_subset_1(k9_relat_1(k4_relat_1(sk4),X0),k1_zfmisc_1(sk0)),
inference(demodulation,[status(thm)],[p239,p236]) ).
cnf(p301,plain,
( r1_tarski(k9_relat_1(k4_relat_1(sk4),X1),k3_subset_1(sk0,X0))
| ~ r1_xboole_0(k9_relat_1(k4_relat_1(sk4),X1),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sk0)) ),
inference(resolution,[status(thm)],[c57,p242]) ).
cnf(p746,plain,
( r1_tarski(k9_relat_1(k4_relat_1(sk4),X0),sk2)
| ~ r1_xboole_0(k9_relat_1(k4_relat_1(sk4),X0),k3_subset_1(sk0,sk2)) ),
inference(resolution,[status(thm)],[p301,p69]) ).
cnf(p11545,plain,
( r1_tarski(k9_relat_1(k4_relat_1(sk4),sk3),sk2)
| r1_tarski(k9_relat_1(k4_relat_1(sk4),sk3),sk2) ),
inference(resolution,[status(thm)],[p11542,p746]) ).
cnf(p11546,plain,
r1_tarski(k9_relat_1(k4_relat_1(sk4),sk3),sk2),
inference(factoring,[status(thm)],[p11545]) ).
cnf(p317,plain,
( ~ r1_tarski(k9_relat_1(k4_relat_1(sk4),X1),k3_subset_1(sk0,X0))
| r1_xboole_0(k9_relat_1(k4_relat_1(sk4),X1),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sk0)) ),
inference(resolution,[status(thm)],[c58,p242]) ).
cnf(p856,plain,
( ~ r1_tarski(k9_relat_1(k4_relat_1(sk4),X0),sk2)
| r1_xboole_0(k9_relat_1(k4_relat_1(sk4),X0),k3_subset_1(sk0,sk2)) ),
inference(resolution,[status(thm)],[p317,p69]) ).
cnf(p11564,plain,
r1_xboole_0(k9_relat_1(k4_relat_1(sk4),sk3),k3_subset_1(sk0,sk2)),
inference(resolution,[status(thm)],[p11546,p856]) ).
cnf(p11646,plain,
r1_xboole_0(k3_subset_1(sk0,sk2),k9_relat_1(k4_relat_1(sk4),sk3)),
inference(resolution,[status(thm)],[p11564,c52]) ).
cnf(p12408,plain,
r1_xboole_0(sk3,k9_relat_1(sk4,k3_subset_1(sk0,sk2))),
inference(resolution,[status(thm)],[p12391,p11646]) ).
cnf(p12409,plain,
r1_xboole_0(k9_relat_1(sk4,k3_subset_1(sk0,sk2)),sk3),
inference(resolution,[status(thm)],[p12408,c52]) ).
cnf(p299,plain,
( r1_tarski(k9_relat_1(sk4,X1),k3_subset_1(sk1,X0))
| ~ r1_xboole_0(k9_relat_1(sk4,X1),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sk1)) ),
inference(resolution,[status(thm)],[c57,p228]) ).
cnf(p614,plain,
( r1_tarski(k9_relat_1(sk4,X0),k3_subset_1(sk1,sk3))
| ~ r1_xboole_0(k9_relat_1(sk4,X0),sk3) ),
inference(resolution,[status(thm)],[p299,c1]) ).
cnf(p12412,plain,
r1_tarski(k9_relat_1(sk4,k3_subset_1(sk0,sk2)),k3_subset_1(sk1,sk3)),
inference(resolution,[status(thm)],[p12409,p614]) ).
cnf(c5,plain,
( ~ r1_tarski(k10_relset_1(sk0,sk1,sk4,k3_subset_1(sk0,sk2)),k3_subset_1(sk1,sk3))
| ~ r1_tarski(k10_relset_1(sk1,sk0,k6_relset_1(sk0,sk1,sk4),sk3),sk2) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p227,plain,
( ~ r1_tarski(k9_relat_1(sk4,k3_subset_1(sk0,sk2)),k3_subset_1(sk1,sk3))
| ~ r1_tarski(k10_relset_1(sk1,sk0,k6_relset_1(sk0,sk1,sk4),sk3),sk2) ),
inference(demodulation,[status(thm)],[p225,c5]) ).
cnf(p233,plain,
( ~ r1_tarski(k9_relat_1(sk4,k3_subset_1(sk0,sk2)),k3_subset_1(sk1,sk3))
| ~ r1_tarski(k10_relset_1(sk1,sk0,k4_relat_1(sk4),sk3),sk2) ),
inference(demodulation,[status(thm)],[p229,p227]) ).
cnf(p241,plain,
( ~ r1_tarski(k9_relat_1(sk4,k3_subset_1(sk0,sk2)),k3_subset_1(sk1,sk3))
| ~ r1_tarski(k9_relat_1(k4_relat_1(sk4),sk3),sk2) ),
inference(demodulation,[status(thm)],[p239,p233]) ).
cnf(p11563,plain,
~ r1_tarski(k9_relat_1(sk4,k3_subset_1(sk0,sk2)),k3_subset_1(sk1,sk3)),
inference(resolution,[status(thm)],[p11546,p241]) ).
cnf(p12436,plain,
$false,
inference(resolution,[status(thm)],[p12412,p11563]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU448+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 14:22:04 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 86.32/12.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 86.32/12.81 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------