%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL083-2 : TPTP v9.2.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n019.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 04:39:21 PM UTC 2026
% Result : Unsatisfiable 1.63s 1.84s
% Output : CNFRefutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of clauses : 30 ( 20 unt; 0 nHn; 5 RR)
% Number of literals : 42 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 91 ( 47 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(ic_JLukasiewicz,axiom,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
cnf(ic_1,axiom,
is_a_theorem(implies(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_1) ).
cnf(prove_ic_3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_3) ).
cnf(c_0_4,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment ).
cnf(c_0_5,axiom,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))),
ic_JLukasiewicz ).
cnf(c_0_6,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(implies(X2,X4),X1)) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,axiom,
is_a_theorem(implies(X1,X1)),
ic_1 ).
cnf(c_0_8,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X2,X3),X2)) ),
inference(spm,[status(thm)],[c_0_4,c_0_8]) ).
cnf(c_0_10,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_11,plain,
is_a_theorem(implies(X1,implies(X2,X2))),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_12,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,X2)),implies(X5,implies(X4,X2)))),
inference(spm,[status(thm)],[c_0_6,c_0_10]) ).
cnf(c_0_13,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))),
inference(spm,[status(thm)],[c_0_6,c_0_11]) ).
cnf(c_0_14,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X4,implies(X3,X5)),implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_4,c_0_12]) ).
cnf(c_0_15,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X3),X2)) ),
inference(spm,[status(thm)],[c_0_4,c_0_13]) ).
cnf(c_0_16,plain,
is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),X4),X3),implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_14,c_0_5]) ).
cnf(c_0_17,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2)))),
inference(spm,[status(thm)],[c_0_15,c_0_5]) ).
cnf(c_0_18,plain,
( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2)))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_4,c_0_16]) ).
cnf(c_0_19,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4),implies(X5,X4))),
inference(spm,[status(thm)],[c_0_6,c_0_17]) ).
cnf(c_0_20,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_18,c_0_5]) ).
cnf(c_0_21,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(implies(X3,X4),X3),implies(X5,X3)),X2)) ),
inference(spm,[status(thm)],[c_0_4,c_0_19]) ).
cnf(c_0_22,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X2),X3)),implies(X4,implies(implies(X1,X2),X3)))),
inference(spm,[status(thm)],[c_0_6,c_0_20]) ).
cnf(c_0_23,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3)))),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,plain,
( is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2)))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_4,c_0_23]) ).
cnf(c_0_25,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))),
inference(spm,[status(thm)],[c_0_24,c_0_5]) ).
cnf(c_0_26,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X1),X1))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_4,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
prove_ic_3 ).
cnf(c_0_28,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),X1)),
inference(spm,[status(thm)],[c_0_26,c_0_5]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL083-2 : TPTP v9.2.1. Bugfixed v1.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n019.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 21:57:59 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.63/1.84 % Version : CSE_E---1.7
% 1.63/1.84 % Problem : theBenchmark.p
% 1.63/1.84 % SZS status Unsatisfiable for theBenchmark.p
% 1.63/1.84 % SZS output start CNFRefutation
% See solution above
% 1.63/1.85 % Total time : 1.371s
%------------------------------------------------------------------------------