%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU196+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/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 02:51:18 PM UTC 2026
% Result : Theorem 6.00s 1.28s
% Output : Proof 6.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 52 ( 22 ~; 18 |; 5 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 5 sgn 22 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,axiom,
! [A,B] :
( relation(B)
=> subset(relation_dom_restriction(B,A),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t88_relat_1) ).
fof(f31_nnf,plain,
! [A,B] :
( subset(relation_dom_restriction(B,A),B)
| ~ relation(B) ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
! [B,A] :
( subset(relation_dom_restriction(B,A),B)
| ~ relation(B) ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c40,plain,
( subset(relation_dom_restriction(X1,X0),X1)
| ~ relation(X1) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
fof(f33,conjecture,
! [A,B] :
( relation(B)
=> subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_relat_1) ).
fof(f33_neg,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f33_nnf,plain,
? [A,B] :
( ~ subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
& relation(B) ),
inference(nnf_transformation,[status(thm)],[f33_neg]) ).
fof(f33_sk,plain,
( ~ subset(relation_rng(relation_dom_restriction(sk8,sk7)),relation_rng(sk8))
& relation(sk8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk7,sk8])],[f33_nnf]) ).
cnf(c42,plain,
relation(sk8),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(p531,plain,
subset(relation_dom_restriction(sk8,X0),sk8),
inference(resolution,[status(thm)],[c40,c42]) ).
fof(f24,axiom,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ( subset(A,B)
=> ( subset(relation_rng(A),relation_rng(B))
& subset(relation_dom(A),relation_dom(B)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_relat_1) ).
fof(f24_nnf,plain,
! [A] :
( ! [B] :
( ( subset(relation_rng(A),relation_rng(B))
& subset(relation_dom(A),relation_dom(B)) )
| ~ subset(A,B)
| ~ relation(B) )
| ~ relation(A) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [A,B] :
( ( subset(relation_rng(A),relation_rng(B))
& subset(relation_dom(A),relation_dom(B)) )
| ~ subset(A,B)
| ~ relation(B)
| ~ relation(A) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c32,plain,
( subset(relation_rng(X0),relation_rng(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
fof(f6,axiom,
! [A,B] :
( relation(A)
=> relation(relation_dom_restriction(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f6_nnf,plain,
! [A,B] :
( relation(relation_dom_restriction(A,B))
| ~ relation(A) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [A,B] :
( relation(relation_dom_restriction(A,B))
| ~ relation(A) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p45,plain,
relation(relation_dom_restriction(sk8,X0)),
inference(resolution,[status(thm)],[c6,c42]) ).
cnf(p271,plain,
( subset(relation_rng(relation_dom_restriction(sk8,X1)),relation_rng(X0))
| ~ subset(relation_dom_restriction(sk8,X1),X0)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[c32,p45]) ).
cnf(p399,plain,
( subset(relation_rng(relation_dom_restriction(sk8,X0)),relation_rng(sk8))
| ~ subset(relation_dom_restriction(sk8,X0),sk8) ),
inference(resolution,[status(thm)],[p271,c42]) ).
cnf(p574,plain,
subset(relation_rng(relation_dom_restriction(sk8,X0)),relation_rng(sk8)),
inference(resolution,[status(thm)],[p531,p399]) ).
cnf(c43,plain,
~ subset(relation_rng(relation_dom_restriction(sk8,sk7)),relation_rng(sk8)),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(p577,plain,
$false,
inference(resolution,[status(thm)],[p574,c43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU196+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.37 % Computer : n002.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Thu Sep 24 13:11:04 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.00/1.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.00/1.28 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------