%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COL100-2 : 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 : n014.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 04:12:21 PM UTC 2026
% Result : Unsatisfiable 6.89s 4.68s
% Output : CNFRefutation 6.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 30 ( 11 unt; 0 nHn; 28 RR)
% Number of literals : 63 ( 0 equ; 38 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 47 ( 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_trancl_2h5,hypothesis,
( member(pair(X1,sk1(X1)),trancl(r))
| ~ member(pair(y,X1),trancl(r)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h5) ).
cnf(diamond_trancl_2c1,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2c1) ).
cnf(diamond_trancl_2c2,negated_conjecture,
( ~ member(pair(z,X1),trancl(r))
| ~ member(pair(yp,X1),trancl(r)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2c2) ).
cnf(diamond_strip_lemmaD1,axiom,
( member(pair(X4,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),trancl(X1))
| ~ diamond(X1)
| ~ member(pair(X2,X3),trancl(X1))
| ~ member(pair(X2,X4),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).
cnf(diamond_trancl_2h1,hypothesis,
diamond(r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h1) ).
cnf(diamond_strip_lemmaD2,axiom,
( member(pair(X3,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),X1)
| ~ diamond(X1)
| ~ member(pair(X2,X3),trancl(X1))
| ~ member(pair(X2,X4),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).
cnf(diamond_trancl_2h4,hypothesis,
( member(pair(ya,sk1(X1)),trancl(r))
| ~ member(pair(y,X1),trancl(r)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h4) ).
cnf(diamond_trancl_2h3,hypothesis,
member(pair(ya,z),r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h3) ).
cnf(c_0_11,axiom,
( member(pair(X2,X4),X1)
| ~ trans(X1)
| ~ member(pair(X2,X3),X1)
| ~ member(pair(X3,X4),X1) ),
transD ).
cnf(c_0_12,axiom,
( member(pair(X1,X2),trancl(X3))
| ~ member(pair(X1,X2),X3) ),
r_into_trancl ).
cnf(c_0_13,axiom,
trans(trancl(X1)),
trans_trancl ).
cnf(c_0_14,hypothesis,
( member(pair(X1,sk1(X1)),trancl(r))
| ~ member(pair(y,X1),trancl(r)) ),
diamond_trancl_2h5 ).
cnf(c_0_15,negated_conjecture,
member(pair(y,yp),trancl(r)),
diamond_trancl_2c1 ).
cnf(c_0_16,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_11,c_0_12]),c_0_13])]) ).
cnf(c_0_17,negated_conjecture,
member(pair(yp,sk1(yp)),trancl(r)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( ~ member(pair(z,X1),trancl(r))
| ~ member(pair(yp,X1),trancl(r)) ),
diamond_trancl_2c2 ).
cnf(c_0_19,negated_conjecture,
( member(pair(yp,X1),trancl(r))
| ~ member(pair(sk1(yp),X1),r) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( ~ member(pair(z,X1),trancl(r))
| ~ member(pair(sk1(yp),X1),r) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,axiom,
( member(pair(X4,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),trancl(X1))
| ~ diamond(X1)
| ~ member(pair(X2,X3),trancl(X1))
| ~ member(pair(X2,X4),X1) ),
diamond_strip_lemmaD1 ).
cnf(c_0_22,hypothesis,
diamond(r),
diamond_trancl_2h1 ).
cnf(c_0_23,negated_conjecture,
( ~ member(pair(sk1(yp),diamond_strip_lemmaD_sk1(X1,X2,z,r)),r)
| ~ member(pair(X1,X2),trancl(r))
| ~ member(pair(X1,z),r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_24,axiom,
( member(pair(X3,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),X1)
| ~ diamond(X1)
| ~ member(pair(X2,X3),trancl(X1))
| ~ member(pair(X2,X4),X1) ),
diamond_strip_lemmaD2 ).
cnf(c_0_25,hypothesis,
( member(pair(ya,sk1(X1)),trancl(r))
| ~ member(pair(y,X1),trancl(r)) ),
diamond_trancl_2h4 ).
cnf(c_0_26,negated_conjecture,
( ~ member(pair(X1,sk1(yp)),trancl(r))
| ~ member(pair(X1,z),r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_22])]) ).
cnf(c_0_27,negated_conjecture,
member(pair(ya,sk1(yp)),trancl(r)),
inference(spm,[status(thm)],[c_0_25,c_0_15]) ).
cnf(c_0_28,hypothesis,
member(pair(ya,z),r),
diamond_trancl_2h3 ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL100-2 : 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
% 0.15/0.33 % Computer : n014.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 16:17:51 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 6.89/4.68 % Version : CSE_E---1.7
% 6.89/4.68 % Problem : theBenchmark.p
% 6.89/4.68 % SZS status Unsatisfiable for theBenchmark.p
% 6.89/4.68 % SZS output start CNFRefutation
% See solution above
% 6.99/4.70 % Total time : 3.371s
%------------------------------------------------------------------------------