%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU121+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 : n010.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 02:50:59 PM UTC 2026
% Result : Theorem 3.42s 11.11s
% Output : Proof 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 44 ( 15 ~; 15 |; 10 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 15 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,conjecture,
! [A,B,C] :
( ( subset(B,C)
& subset(A,B) )
=> subset(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f7_neg,negated_conjecture,
~ ! [A,B,C] :
( ( subset(B,C)
& subset(A,B) )
=> subset(A,C) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f7_nnf,plain,
? [A,B,C] :
( ~ subset(A,C)
& subset(B,C)
& subset(A,B) ),
inference(nnf_transformation,[status(thm)],[f7_neg]) ).
fof(f7_sk,plain,
( ~ subset(sk3,sk5)
& subset(sk4,sk5)
& subset(sk3,sk4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3,sk4,sk5])],[f7_nnf]) ).
cnf(c9,plain,
subset(sk3,sk4),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
fof(f1,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f1_nnf,plain,
! [A,B] :
( ( ? [C] :
( ~ in(C,B)
& in(C,A) )
| subset(A,B) )
& ( ! [C] :
( in(C,B)
| ~ in(C,A) )
| ~ subset(A,B) ) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A,B,C] :
( ( ( ~ in(sk0(A,B),B)
& in(sk0(A,B),A) )
| subset(A,B) )
& ( in(C,B)
| ~ in(C,A)
| ~ subset(A,B) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f1_nnf]) ).
cnf(c1,plain,
( in(X2,X1)
| ~ in(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p17,plain,
( in(X0,sk4)
| ~ in(X0,sk3) ),
inference(resolution,[status(thm)],[c9,c1]) ).
cnf(c2,plain,
( in(sk0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p22,plain,
( subset(sk3,X0)
| in(sk0(sk3,X0),sk4) ),
inference(resolution,[status(thm)],[p17,c2]) ).
cnf(c10,plain,
subset(sk4,sk5),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p18,plain,
( in(X0,sk5)
| ~ in(X0,sk4) ),
inference(resolution,[status(thm)],[c10,c1]) ).
cnf(p27,plain,
( in(sk0(sk3,X0),sk5)
| subset(sk3,X0) ),
inference(resolution,[status(thm)],[p22,p18]) ).
cnf(c3,plain,
( ~ in(sk0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p32,plain,
( subset(sk3,sk5)
| subset(sk3,sk5) ),
inference(resolution,[status(thm)],[p27,c3]) ).
cnf(p34,plain,
subset(sk3,sk5),
inference(factoring,[status(thm)],[p32]) ).
cnf(c11,plain,
~ subset(sk3,sk5),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p36,plain,
$false,
inference(resolution,[status(thm)],[p34,c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU121+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/10.37 % Computer : n010.cluster.edu
% 0.08/10.37 % Model : x86_64 x86_64
% 0.08/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.37 % Memory : 8046.5625MB
% 0.08/10.37 % OS : Linux 6.8.0-71-generic
% 0.08/10.37 % CPULimit : 300
% 0.08/10.37 % WCLimit : 300
% 0.08/10.37 % DateTime : Thu Sep 24 12:48:41 UTC 2026
% 0.08/10.37 % CPUTime :
% 0.08/10.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.42/11.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.42/11.11 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------