%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET019-3 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 03:31:08 PM UTC 2025
% Result : Unsatisfiable 0.20s 0.44s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove__a_equals_b)
% Comments :
%------------------------------------------------------------------------------
cnf(146,plain,
a != b,
inference(cnf,[status(esa)],[prove__a_equals_b]) ).
cnf(l0,plain,
a != b,
inference(instantiation,[status(thm)],[146]) ).
cnf(3,plain,
( ~ member(f1(X0,X1),X0)
| ~ member(f1(X0,X1),X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[extensionality3]) ).
cnf(l1,plain,
( ~ member(f1(a,b),a)
| ~ member(f1(a,b),b)
| a = b ),
inference(instantiation,[status(thm)],[3]) ).
cnf(66,plain,
( ~ member(X0,X1)
| ~ subset(X1,X2)
| member(X0,X2) ),
inference(cnf,[status(esa)],[subset1]) ).
cnf(l12,plain,
( ~ member(f1(a,b),a)
| ~ subset(a,b)
| member(f1(a,b),b) ),
inference(instantiation,[status(thm)],[66]) ).
cnf(2,plain,
( member(f1(X0,X1),X0)
| member(f1(X0,X1),X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[extensionality2]) ).
cnf(l18,plain,
( member(f1(a,b),a)
| member(f1(a,b),b)
| a = b ),
inference(instantiation,[status(thm)],[2]) ).
cnf(145,plain,
subset(a,b),
inference(cnf,[status(esa)],[b_contains_a]) ).
cnf(l15,plain,
subset(a,b),
inference(instantiation,[status(thm)],[145]) ).
cnf(l2,plain,
( ~ member(f1(a,b),b)
| ~ subset(b,a)
| member(f1(a,b),a) ),
inference(instantiation,[status(thm)],[66]) ).
cnf(l3,plain,
( member(f1(a,b),a)
| member(f1(a,b),b)
| a = b ),
inference(instantiation,[status(thm)],[2]) ).
cnf(144,plain,
subset(b,a),
inference(cnf,[status(esa)],[a_contains_b]) ).
cnf(l4,plain,
subset(b,a),
inference(instantiation,[status(thm)],[144]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l12,l18,l15,l2,l3,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET019-3 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n026.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 19:19:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.20/0.44 % SZS status Theorem for theBenchmark
% 0.20/0.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------