%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU247+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.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 02:51:29 PM UTC 2026
% Result : Theorem 7.83s 1.50s
% Output : Proof 7.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 15 unt; 0 def)
% Number of atoms : 39 ( 25 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 12 ~; 6 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 40 ( 0 sgn 19 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [A,B] :
( relation(B)
=> relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_wellord1) ).
fof(f9_nnf,plain,
! [A,B] :
( relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A)
| ~ relation(B) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [B,A] :
( relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A)
| ~ relation(B) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0)
| ~ relation(X1) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(hi7,axiom,
ifeq(relation(X0),true,relation_restriction(X0,X1),relation_dom_restriction(relation_rng_restriction(X1,X0),X1)) = relation_dom_restriction(relation_rng_restriction(X1,X0),X1),
inference(equality_encoding,[status(esa)],[c9]) ).
fof(f10,conjecture,
! [A,B] :
( relation(B)
=> relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_wellord1) ).
fof(f10_neg,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f10_nnf,plain,
? [A,B] :
( relation_restriction(B,A) != relation_rng_restriction(A,relation_dom_restriction(B,A))
& relation(B) ),
inference(nnf_transformation,[status(thm)],[f10_neg]) ).
fof(f10_sk,plain,
( relation_restriction(sk1,sk0) != relation_rng_restriction(sk0,relation_dom_restriction(sk1,sk0))
& relation(sk1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f10_nnf]) ).
cnf(c10,plain,
relation(sk1),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(hi8,negated_conjecture,
relation(sk1) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t16,plain,
relation_dom_restriction(relation_rng_restriction(X1,sk1),X1) = relation_restriction(sk1,X1),
inference(hyper_resolution,[status(thm)],[hi7,hi8]) ).
cnf(t359,plain,
relation_dom_restriction(relation_rng_restriction(X1,sk1),X1) = relation_restriction(sk1,X1),
inference(orient,[status(thm)],[t16]) ).
fof(f8,axiom,
! [A,B,C] :
( relation(C)
=> relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t140_relat_1) ).
fof(f8_nnf,plain,
! [A,B,C] :
( relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B))
| ~ relation(C) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [C,A,B] :
( relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B))
| ~ relation(C) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(hi6,axiom,
ifeq(relation(X0),true,relation_dom_restriction(relation_rng_restriction(X1,X0),X2),relation_rng_restriction(X1,relation_dom_restriction(X0,X2))) = relation_rng_restriction(X1,relation_dom_restriction(X0,X2)),
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t48,plain,
relation_rng_restriction(X1,relation_dom_restriction(sk1,X2)) = relation_dom_restriction(relation_rng_restriction(X1,sk1),X2),
inference(hyper_resolution,[status(thm)],[hi6,hi8]) ).
cnf(t611,plain,
relation_dom_restriction(relation_rng_restriction(X1,sk1),X2) = relation_rng_restriction(X1,relation_dom_restriction(sk1,X2)),
inference(orient,[status(thm)],[t48]) ).
cnf(t1212,plain,
relation_rng_restriction(X1,relation_dom_restriction(sk1,X1)) = relation_restriction(sk1,X1),
inference(step,[status(thm)],[t359,t611]) ).
cnf(t620,plain,
relation_rng_restriction(X1,relation_dom_restriction(sk1,X1)) = relation_restriction(sk1,X1),
inference(rw,[status(thm)],[t1212]) ).
cnf(t1137,plain,
relation_rng_restriction(X1,relation_dom_restriction(sk1,X1)) = relation_restriction(sk1,X1),
inference(orient,[status(thm)],[t620]) ).
cnf(c11,plain,
relation_restriction(sk1,sk0) != relation_rng_restriction(sk0,relation_dom_restriction(sk1,sk0)),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(goal_0,negated_conjecture,
relation_rng_restriction(sk0,relation_dom_restriction(sk1,sk0)) != relation_restriction(sk1,sk0),
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(g0_0,plain,
relation_restriction(sk1,sk0) != relation_restriction(sk1,sk0),
inference(rw,[status(thm)],[goal_0,t1137]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU247+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Thu Sep 24 13:23:42 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.83/1.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.83/1.50 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------