%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU139+2 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:44:35 PM UTC 2025
% Result : Theorem 0.21s 0.46s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 32 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 15 ~; 8 |; 4 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t60_xboole_1,plain,
! [A,B] :
~ ( subset(A,B)
& proper_subset(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_xboole_1) ).
fof(t60_xboole_1_negated,plain,
~ ! [A,B] :
~ ( subset(A,B)
& proper_subset(B,A) ),
inference(negate_conjecture,[status(cth)],[t60_xboole_1]) ).
cnf(80,plain,
subset(sK11,sK12),
inference(cnf,[status(esa)],[t60_xboole_1_negated]) ).
cnf(l0,plain,
subset(sK11,sK12),
inference(instantiation,[status(thm)],[80]) ).
fof(d10_xboole_0,plain,
! [A,B] :
( A = B
<=> ( subset(A,B)
& subset(B,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
cnf(6,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
cnf(l1,plain,
( ~ subset(sK11,sK12)
| ~ subset(sK12,sK11)
| sK11 = sK12 ),
inference(instantiation,[status(thm)],[6]) ).
fof(antisymmetry_r2_xboole_0,plain,
! [A,B] :
( proper_subset(A,B)
=> ~ proper_subset(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_xboole_0) ).
cnf(1,plain,
( ~ proper_subset(X0,X1)
| ~ proper_subset(X1,X0) ),
inference(cnf,[status(esa)],[antisymmetry_r2_xboole_0]) ).
cnf(l6,plain,
( ~ proper_subset(sK12,sK12)
| ~ proper_subset(sK12,sK12) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(81,plain,
proper_subset(sK12,sK11),
inference(cnf,[status(esa)],[t60_xboole_1_negated]) ).
cnf(l4,plain,
proper_subset(sK12,sK11),
inference(instantiation,[status(thm)],[81]) ).
fof(d8_xboole_0,plain,
! [A,B] :
( proper_subset(A,B)
<=> ( subset(A,B)
& A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_xboole_0) ).
cnf(38,plain,
( ~ proper_subset(X0,X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d8_xboole_0]) ).
cnf(l7,plain,
( ~ proper_subset(sK12,sK11)
| subset(sK12,sK11) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l9,plain,
proper_subset(sK12,sK11),
inference(instantiation,[status(thm)],[81]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l4,l7,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU139+2 : TPTP v9.0.0. Released v3.3.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Jul 21 23:35:19 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.21/0.35 % launching worker at depth: 1
% 0.21/0.35 % launching worker at depth: 4
% 0.21/0.35 % launching worker at depth: 3
% 0.21/0.35 % launching worker at depth: 2
% 0.21/0.35 % launching worker at depth: 5
% 0.21/0.35 % launching worker at depth: 6
% 0.21/0.35 % launching worker at depth: 7
% 0.21/0.35 % launching worker at depth: 8
% 0.21/0.35 % launching worker at depth: 9
% 0.21/0.36 % launching worker at depth: 10
% 0.21/0.46 % SZS status Theorem for theBenchmark
% 0.21/0.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------