%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL110-1 : TPTP v9.2.1. Released v1.0.0.
% 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 : n001.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 04:39:26 PM UTC 2026
% Result : Unsatisfiable 1.40s 1.76s
% Output : CNFRefutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 25 ( 14 unt; 0 nHn; 12 RR)
% Number of literals : 39 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 47 ( 7 sgn)
% 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(mv_2,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_2) ).
cnf(mv_3,axiom,
is_a_theorem(implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_3) ).
cnf(mv_1,axiom,
is_a_theorem(implies(X1,implies(X2,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_1) ).
cnf(prove_mv_24,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_24) ).
cnf(mv_5,axiom,
is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_5) ).
cnf(c_0_6,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment ).
cnf(c_0_7,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
mv_2 ).
cnf(c_0_8,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,axiom,
is_a_theorem(implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1))),
mv_3 ).
cnf(c_0_10,axiom,
is_a_theorem(implies(X1,implies(X2,X1))),
mv_1 ).
cnf(c_0_11,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
prove_mv_24 ).
cnf(c_0_13,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(implies(implies(X2,X1),X1)) ),
inference(spm,[status(thm)],[c_0_6,c_0_9]) ).
cnf(c_0_14,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_10]) ).
cnf(c_0_15,axiom,
is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1))),
mv_5 ).
cnf(c_0_16,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_17,negated_conjecture,
( ~ is_a_theorem(implies(not(not(a)),X1))
| ~ is_a_theorem(implies(X1,a)) ),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_18,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X1,implies(not(X3),not(X2)))) ),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_20,plain,
is_a_theorem(implies(not(X1),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( ~ is_a_theorem(implies(not(not(a)),implies(X1,a)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
is_a_theorem(implies(not(not(X1)),implies(X2,X1))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
~ is_a_theorem(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]) ).
cnf(c_0_24,plain,
$false,
inference(sr,[status(thm)],[c_0_10,c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL110-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % 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
% 0.16/0.32 % Computer : n001.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Mon May 4 22:01:03 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.40/1.76 % Version : CSE_E---1.7
% 1.40/1.76 % Problem : theBenchmark.p
% 1.40/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.40/1.76 % SZS output start CNFRefutation
% See solution above
% 1.40/1.77 % Total time : 1.371s
%------------------------------------------------------------------------------