%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET883+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n008.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 02:44:13 PM UTC 2026
% Result : Theorem 5.40s 1.38s
% Output : Proof 5.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 15 unt; 0 def)
% Number of atoms : 31 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 13 ~; 3 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 18 ( 0 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [A,B] :
( subset(singleton(A),singleton(B))
=> A = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_zfmisc_1) ).
fof(f4_nnf,plain,
! [A,B] :
( A = B
| ~ subset(singleton(A),singleton(B)) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [A,B] :
( A = B
| ~ subset(singleton(A),singleton(B)) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c5,plain,
( X0 = X1
| ~ subset(singleton(X0),singleton(X1)) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi3,axiom,
ifeq(subset(singleton(X0),singleton(X1)),true,X0,X1) = X1,
inference(equality_encoding,[status(esa)],[c5]) ).
fof(f3,conjecture,
! [A,B] :
( subset(singleton(A),singleton(B))
=> A = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_zfmisc_1) ).
fof(f3_neg,negated_conjecture,
~ ! [A,B] :
( subset(singleton(A),singleton(B))
=> A = B ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f3_nnf,plain,
? [A,B] :
( A != B
& subset(singleton(A),singleton(B)) ),
inference(nnf_transformation,[status(thm)],[f3_neg]) ).
fof(f3_sk,plain,
( sk2 != sk3
& subset(singleton(sk2),singleton(sk3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2,sk3])],[f3_nnf]) ).
cnf(c3,plain,
subset(singleton(sk2),singleton(sk3)),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi2,negated_conjecture,
subset(singleton(sk2),singleton(sk3)) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(h0,plain,
sk2 = sk3,
inference(hyper_resolution,[status(thm)],[hi3,hi2]) ).
cnf(c4,plain,
sk2 != sk3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi5,negated_conjecture,
ifeq(sk2,sk3,false,true) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t1,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi5,h0]) ).
cnf(t13,plain,
false = true,
inference(orient,[status(thm)],[t1]) ).
fof(f2,axiom,
? [A] : ~ empty(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f2_nnf,plain,
? [A] : ~ empty(A),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
~ empty(sk1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f2_nnf]) ).
cnf(c2,plain,
~ empty(sk1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c2,c4]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t13]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET883+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.57 % Computer : n008.cluster.edu
% 0.08/0.57 % Model : x86_64 x86_64
% 0.08/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.57 % Memory : 8046.5625MB
% 0.08/0.57 % OS : Linux 6.8.0-71-generic
% 0.08/0.57 % CPULimit : 300
% 0.08/0.57 % WCLimit : 300
% 0.08/0.57 % DateTime : Thu Sep 24 12:20:12 UTC 2026
% 0.08/0.57 % CPUTime :
% 0.08/0.57 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.40/1.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.40/1.38 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------