%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL415-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n022.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 : Tue May 5 04:40:17 PM UTC 2026
% Result : Satisfiable 1.18s 1.88s
% Output : Saturation 1.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(candidate,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,implies(implies(X3,X1),X4)),implies(X1,X4)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',candidate) ).
cnf(prove_required_property,negated_conjecture,
~ is_a_theorem(implies(a,implies(b,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_required_property) ).
cnf(c_0_3,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment,
[final] ).
cnf(c_0_4,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,implies(implies(X3,X1),X4)),implies(X1,X4)))),
candidate,
[final] ).
cnf(c_0_5,plain,
( is_a_theorem(implies(implies(X1,implies(implies(X2,X3),X4)),implies(X3,X4)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]),
[final] ).
cnf(c_0_6,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X3,implies(implies(X4,X1),X2)))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_3,c_0_5]),
[final] ).
cnf(c_0_7,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))
| ~ is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X4))) ),
inference(spm,[status(thm)],[c_0_6,c_0_4]),
[final] ).
cnf(c_0_8,plain,
( is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X3,X2),X4)),implies(X2,implies(implies(X3,X2),X4))))
| ~ is_a_theorem(implies(X2,implies(X1,X2))) ),
inference(spm,[status(thm)],[c_0_7,c_0_5]),
[final] ).
cnf(c_0_9,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X1),X3)))
| ~ is_a_theorem(implies(implies(X4,X1),implies(implies(X2,X1),X3)))
| ~ is_a_theorem(implies(X1,implies(X4,X1))) ),
inference(spm,[status(thm)],[c_0_3,c_0_8]),
[final] ).
cnf(c_0_10,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(implies(X1,X2),X3),implies(implies(X1,X2),X3)),implies(X2,X3))))
| ~ is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,implies(implies(X1,X2),X3)))) ),
inference(spm,[status(thm)],[c_0_9,c_0_4]),
[final] ).
cnf(c_0_11,plain,
( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X1,X2),X3)),implies(X2,X3)))
| ~ is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,implies(implies(X1,X2),X3))))
| ~ is_a_theorem(implies(implies(X1,X2),X3)) ),
inference(spm,[status(thm)],[c_0_3,c_0_10]),
[final] ).
cnf(c_0_12,plain,
( is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(implies(X1,X2),X2)),implies(X2,implies(implies(X1,X2),X2))))
| ~ is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X2,implies(implies(X1,X2),X2))))
| ~ is_a_theorem(implies(implies(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_7,c_0_11]),
[final] ).
cnf(c_0_13,plain,
( is_a_theorem(implies(X1,implies(implies(X2,implies(X3,X1)),implies(X3,X1))))
| ~ is_a_theorem(implies(implies(implies(X2,implies(X3,X1)),implies(X3,X1)),implies(implies(X3,X1),implies(implies(X2,implies(X3,X1)),implies(X3,X1)))))
| ~ is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X1)),implies(X3,X1)),implies(implies(X2,implies(X3,X1)),implies(X3,X1)))))
| ~ is_a_theorem(implies(implies(X2,implies(X3,X1)),implies(X3,X1))) ),
inference(spm,[status(thm)],[c_0_6,c_0_12]),
[final] ).
cnf(c_0_14,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(X3,implies(X4,X1)),X2),implies(implies(X4,X1),implies(implies(X3,implies(X4,X1)),X2))))
| ~ is_a_theorem(implies(X1,implies(implies(implies(X3,implies(X4,X1)),X2),implies(implies(X3,implies(X4,X1)),X2))))
| ~ is_a_theorem(implies(implies(X3,implies(X4,X1)),X2)) ),
inference(spm,[status(thm)],[c_0_6,c_0_11]),
[final] ).
cnf(c_0_15,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(X3,X1),X2),implies(X1,implies(implies(X3,X1),X2))))
| ~ is_a_theorem(implies(implies(implies(X3,X1),X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_11]),
[final] ).
cnf(c_0_16,plain,
( is_a_theorem(implies(X1,implies(implies(X2,implies(X3,X1)),X4)))
| ~ is_a_theorem(implies(X1,implies(implies(X5,implies(X3,X1)),implies(implies(X2,implies(X3,X1)),X4))))
| ~ is_a_theorem(implies(implies(X3,X1),implies(X5,implies(X3,X1)))) ),
inference(spm,[status(thm)],[c_0_6,c_0_8]),
[final] ).
cnf(c_0_17,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X3,implies(implies(X4,implies(X5,X1)),X2))))
| ~ is_a_theorem(implies(implies(X5,X1),X3)) ),
inference(spm,[status(thm)],[c_0_6,c_0_5]),
[final] ).
cnf(c_0_18,negated_conjecture,
~ is_a_theorem(implies(a,implies(b,a))),
prove_required_property,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.21 % Problem : LCL415-1 : TPTP v9.2.1. Released v2.5.0.
% 0.03/0.21 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.46 % Computer : n022.cluster.edu
% 0.13/0.46 % Model : x86_64 x86_64
% 0.13/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.46 % Memory : 8042.1875MB
% 0.13/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.46 % CPULimit : 300
% 0.13/0.46 % WCLimit : 300
% 0.13/0.46 % DateTime : Mon May 4 22:34:06 EDT 2026
% 0.13/0.47 % CPUTime :
% 0.13/0.47 % start to proof: theBenchmark
% 1.18/1.88 % Version : CSE_E---1.7
% 1.18/1.88 % Problem : theBenchmark.p
% 1.18/1.88 % SZS status Satisfiable for theBenchmark.p
% 1.18/1.88 % SZS output start Saturation
% See solution above
% 1.18/1.88 % Total time : 1.403s
%------------------------------------------------------------------------------