%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COL098-1 : TPTP v9.2.1. Released v2.7.0.
% 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 : n008.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 04:12:20 PM UTC 2026
% Result : Unsatisfiable 1.42s 1.77s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 26 ( 7 unt; 0 nHn; 24 RR)
% Number of literals : 58 ( 0 equ; 36 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 46 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transD,axiom,
( member(pair(X2,X4),X1)
| ~ trans(X1)
| ~ member(pair(X2,X3),X1)
| ~ member(pair(X3,X4),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).
cnf(r_into_trancl,axiom,
( member(pair(X1,X2),trancl(X3))
| ~ member(pair(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r_into_trancl) ).
cnf(trans_trancl,axiom,
trans(trancl(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_trancl) ).
cnf(diamond_strip_lemmaD_2h5,hypothesis,
( member(pair(X1,sk2(X1)),trancl(r))
| ~ member(pair(x,X1),r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h5) ).
cnf(diamond_strip_lemmaD_2h2,hypothesis,
( member(pair(X3,sk1(X1,X2,X3)),r)
| ~ member(pair(X1,X2),r)
| ~ member(pair(X1,X3),r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h2) ).
cnf(diamond_strip_lemmaD_2c2,negated_conjecture,
( ~ member(pair(sk3,X1),trancl(r))
| ~ member(pair(z,X1),r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c2) ).
cnf(diamond_strip_lemmaD_2c1,negated_conjecture,
member(pair(x,sk3),r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c1) ).
cnf(diamond_strip_lemmaD_2h1,hypothesis,
( member(pair(X2,sk1(X1,X2,X3)),r)
| ~ member(pair(X1,X2),r)
| ~ member(pair(X1,X3),r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h1) ).
cnf(diamond_strip_lemmaD_2h6,hypothesis,
( member(pair(y,sk2(X1)),r)
| ~ member(pair(x,X1),r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h6) ).
cnf(diamond_strip_lemmaD_2h4,hypothesis,
member(pair(y,z),r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h4) ).
cnf(c_0_10,axiom,
( member(pair(X2,X4),X1)
| ~ trans(X1)
| ~ member(pair(X2,X3),X1)
| ~ member(pair(X3,X4),X1) ),
transD ).
cnf(c_0_11,axiom,
( member(pair(X1,X2),trancl(X3))
| ~ member(pair(X1,X2),X3) ),
r_into_trancl ).
cnf(c_0_12,axiom,
trans(trancl(X1)),
trans_trancl ).
cnf(c_0_13,plain,
( member(pair(X1,X2),trancl(X3))
| ~ member(pair(X1,X4),trancl(X3))
| ~ member(pair(X4,X2),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_14,hypothesis,
( member(pair(X1,sk2(X1)),trancl(r))
| ~ member(pair(x,X1),r) ),
diamond_strip_lemmaD_2h5 ).
cnf(c_0_15,hypothesis,
( member(pair(X1,X2),trancl(r))
| ~ member(pair(sk2(X1),X2),r)
| ~ member(pair(x,X1),r) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,hypothesis,
( member(pair(X3,sk1(X1,X2,X3)),r)
| ~ member(pair(X1,X2),r)
| ~ member(pair(X1,X3),r) ),
diamond_strip_lemmaD_2h2 ).
cnf(c_0_17,negated_conjecture,
( ~ member(pair(sk3,X1),trancl(r))
| ~ member(pair(z,X1),r) ),
diamond_strip_lemmaD_2c2 ).
cnf(c_0_18,hypothesis,
( member(pair(X1,sk1(X2,X3,sk2(X1))),trancl(r))
| ~ member(pair(X2,sk2(X1)),r)
| ~ member(pair(x,X1),r)
| ~ member(pair(X2,X3),r) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
member(pair(x,sk3),r),
diamond_strip_lemmaD_2c1 ).
cnf(c_0_20,negated_conjecture,
( ~ member(pair(z,sk1(X1,X2,sk2(sk3))),r)
| ~ member(pair(X1,sk2(sk3)),r)
| ~ member(pair(X1,X2),r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_21,hypothesis,
( member(pair(X2,sk1(X1,X2,X3)),r)
| ~ member(pair(X1,X2),r)
| ~ member(pair(X1,X3),r) ),
diamond_strip_lemmaD_2h1 ).
cnf(c_0_22,hypothesis,
( ~ member(pair(X1,sk2(sk3)),r)
| ~ member(pair(X1,z),r) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,hypothesis,
( member(pair(y,sk2(X1)),r)
| ~ member(pair(x,X1),r) ),
diamond_strip_lemmaD_2h6 ).
cnf(c_0_24,hypothesis,
member(pair(y,z),r),
diamond_strip_lemmaD_2h4 ).
cnf(c_0_25,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL098-1 : TPTP v9.2.1. Released v2.7.0.
% 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
% 0.16/0.33 % Computer : n008.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 16:16:43 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.19/0.34 % start to proof: theBenchmark
% 1.42/1.77 % Version : CSE_E---1.7
% 1.42/1.77 % Problem : theBenchmark.p
% 1.42/1.77 % SZS status Unsatisfiable for theBenchmark.p
% 1.42/1.77 % SZS output start CNFRefutation
% See solution above
% 1.42/1.77 % Total time : 1.373s
%------------------------------------------------------------------------------