%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU121+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 : n025.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 03:44:31 PM UTC 2025
% Result : Theorem 7.13s 1.25s
% Output : CNFRefutation 7.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 12 ~; 10 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 16 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t1_xboole_1,plain,
! [A,B,C] :
( ( subset(A,B)
& subset(B,C) )
=> subset(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(t1_xboole_1_negated,plain,
~ ! [A,B,C] :
( ( subset(A,B)
& subset(B,C) )
=> subset(A,C) ),
inference(negate_conjecture,[status(cth)],[t1_xboole_1]) ).
cnf(23,plain,
subset(sK6,sK7),
inference(cnf,[status(esa)],[t1_xboole_1_negated]) ).
cnf(l0,plain,
subset(sK6,sK7),
inference(instantiation,[status(thm)],[23]) ).
fof(d3_tarski,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(4,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l1,plain,
( ~ in(sK2(sK6,sK8),sK6)
| ~ subset(sK6,sK7)
| in(sK2(sK6,sK8),sK7) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(5,plain,
( in(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l2,plain,
( in(sK2(sK6,sK8),sK6)
| subset(sK6,sK8) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(25,plain,
~ subset(sK6,sK8),
inference(cnf,[status(esa)],[t1_xboole_1_negated]) ).
cnf(l6,plain,
~ subset(sK6,sK8),
inference(instantiation,[status(thm)],[25]) ).
cnf(l50,plain,
( ~ in(sK2(sK6,sK8),sK7)
| ~ subset(sK7,sK8)
| in(sK2(sK6,sK8),sK8) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(6,plain,
( ~ in(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l52,plain,
( ~ in(sK2(sK6,sK8),sK8)
| subset(sK6,sK8) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l55,plain,
~ subset(sK6,sK8),
inference(instantiation,[status(thm)],[25]) ).
cnf(24,plain,
subset(sK7,sK8),
inference(cnf,[status(esa)],[t1_xboole_1_negated]) ).
cnf(l51,plain,
subset(sK7,sK8),
inference(instantiation,[status(thm)],[24]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l6,l50,l52,l55,l51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU121+2 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 23:31:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.18/0.45 % launching worker at depth: 11
% 7.13/1.25 % SZS status Theorem for theBenchmark
% 7.13/1.25 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------