%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COL099-1 : TPTP v9.2.1. Released v2.7.0.
% 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 : n003.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 1.17s 1.88s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 7 unt; 0 nHn; 18 RR)
% Number of literals : 38 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(diamond_trancl_1c2,negated_conjecture,
( ~ member(pair(ya,X1),trancl(r))
| ~ member(pair(yp,X1),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1c2) ).
cnf(r_into_trancl,axiom,
( member(pair(X1,X2),trancl(X3))
| ~ member(pair(X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r_into_trancl) ).
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/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).
cnf(diamond_trancl_1h1,hypothesis,
diamond(r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1h1) ).
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/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).
cnf(diamond_trancl_1c1,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1c1) ).
cnf(diamond_trancl_1h2,hypothesis,
member(pair(y,ya),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1h2) ).
cnf(c_0_7,negated_conjecture,
( ~ member(pair(ya,X1),trancl(r))
| ~ member(pair(yp,X1),trancl(r)) ),
diamond_trancl_1c2 ).
cnf(c_0_8,axiom,
( member(pair(X1,X2),trancl(X3))
| ~ member(pair(X1,X2),X3) ),
r_into_trancl ).
cnf(c_0_9,negated_conjecture,
( ~ member(pair(ya,X1),trancl(r))
| ~ member(pair(yp,X1),r) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,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_11,hypothesis,
diamond(r),
diamond_trancl_1h1 ).
cnf(c_0_12,negated_conjecture,
( ~ member(pair(yp,diamond_strip_lemmaD_sk1(X1,X2,ya,r)),r)
| ~ member(pair(X1,X2),trancl(r))
| ~ member(pair(X1,ya),r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_13,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_14,negated_conjecture,
( ~ member(pair(X1,yp),trancl(r))
| ~ member(pair(X1,ya),r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_11])]) ).
cnf(c_0_15,negated_conjecture,
member(pair(y,yp),trancl(r)),
diamond_trancl_1c1 ).
cnf(c_0_16,hypothesis,
member(pair(y,ya),r),
diamond_trancl_1h2 ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.24 % Problem : COL099-1 : TPTP v9.2.1. Released v2.7.0.
% 0.03/0.24 % 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
% 0.12/0.47 % Computer : n003.cluster.edu
% 0.12/0.47 % Model : x86_64 x86_64
% 0.12/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.47 % Memory : 8042.1875MB
% 0.12/0.47 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.47 % CPULimit : 300
% 0.12/0.47 % WCLimit : 300
% 0.12/0.47 % DateTime : Mon May 4 16:16:26 EDT 2026
% 0.12/0.47 % CPUTime :
% 0.12/0.48 % start to proof: theBenchmark
% 1.17/1.88 % Version : CSE_E---1.7
% 1.17/1.88 % Problem : theBenchmark.p
% 1.17/1.88 % SZS status Unsatisfiable for theBenchmark.p
% 1.17/1.88 % SZS output start CNFRefutation
% See solution above
% 1.17/1.88 % Total time : 1.400s
%------------------------------------------------------------------------------