%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COL100-1 : 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 : n012.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 1.30s 1.66s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 28 ( 9 unt; 0 nHn; 26 RR)
% Number of literals : 64 ( 0 equ; 40 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 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 : 50 ( 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_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_2h1,hypothesis,
diamond(r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h1) ).
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_trancl_2c1,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2c1) ).
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_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,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_15,hypothesis,
( member(pair(X1,sk1(X1)),trancl(r))
| ~ member(pair(y,X1),trancl(r)) ),
diamond_trancl_2h5 ).
cnf(c_0_16,hypothesis,
( member(pair(X1,X2),trancl(r))
| ~ member(pair(y,X1),trancl(r))
| ~ member(pair(sk1(X1),X2),r) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,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_18,hypothesis,
diamond(r),
diamond_trancl_2h1 ).
cnf(c_0_19,negated_conjecture,
( ~ member(pair(z,X1),trancl(r))
| ~ member(pair(yp,X1),trancl(r)) ),
diamond_trancl_2c2 ).
cnf(c_0_20,hypothesis,
( member(pair(X1,diamond_strip_lemmaD_sk1(X2,sk1(X1),X3,r)),trancl(r))
| ~ member(pair(X2,sk1(X1)),trancl(r))
| ~ member(pair(y,X1),trancl(r))
| ~ member(pair(X2,X3),r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_21,negated_conjecture,
member(pair(y,yp),trancl(r)),
diamond_trancl_2c1 ).
cnf(c_0_22,negated_conjecture,
( ~ member(pair(z,diamond_strip_lemmaD_sk1(X1,sk1(yp),X2,r)),trancl(r))
| ~ member(pair(X1,sk1(yp)),trancl(r))
| ~ member(pair(X1,X2),r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_23,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_24,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_22,c_0_23]),c_0_18])]) ).
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,hypothesis,
member(pair(ya,z),r),
diamond_trancl_2h3 ).
cnf(c_0_27,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : COL100-1 : TPTP v9.2.1. Released v2.7.0.
% 0.00/0.06 % 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
% 0.07/0.24 % Computer : n012.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % WCLimit : 300
% 0.07/0.24 % DateTime : Mon May 4 16:21:46 EDT 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 1.30/1.66 % Version : CSE_E---1.7
% 1.30/1.66 % Problem : theBenchmark.p
% 1.30/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 1.30/1.66 % SZS output start CNFRefutation
% See solution above
% 1.30/1.66 % Total time : 1.361s
%------------------------------------------------------------------------------