%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN554-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n010.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 05:39:37 PM UTC 2026
% Result : Unsatisfiable 1.25s 1.71s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 11 unt; 2 nHn; 18 RR)
% Number of literals : 43 ( 0 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_8,negated_conjecture,
( p4(X1,X2)
| ~ p2(X3,X2)
| ~ p4(X4,X3)
| ~ p2(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_8) ).
cnf(p4_7,negated_conjecture,
( p4(f3(c5,X1),f3(c5,X2))
| ~ p4(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_7) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_4,negated_conjecture,
p2(f3(c5,c6),f3(c5,c7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
cnf(not_p4_2,negated_conjecture,
~ p4(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_2) ).
cnf(p2_5,negated_conjecture,
( p2(X1,X2)
| p4(X1,X2)
| p4(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
cnf(not_p2_3,negated_conjecture,
~ p2(c6,c7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_3) ).
cnf(c_0_7,negated_conjecture,
( p4(X1,X2)
| ~ p2(X3,X2)
| ~ p4(X4,X3)
| ~ p2(X4,X1) ),
p4_8 ).
cnf(c_0_8,negated_conjecture,
( p4(f3(c5,X1),f3(c5,X2))
| ~ p4(X1,X2) ),
p4_7 ).
cnf(c_0_9,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X4)
| ~ p2(f3(c5,X3),X1)
| ~ p2(f3(c5,X4),X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_11,negated_conjecture,
p2(f3(c5,c6),f3(c5,c7)),
p2_4 ).
cnf(c_0_12,negated_conjecture,
( p4(f3(c5,X1),X2)
| ~ p4(X1,X3)
| ~ p2(f3(c5,X3),X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( p4(f3(c5,c7),X1)
| ~ p4(c6,X2)
| ~ p2(f3(c5,X2),X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
~ p4(X1,X1),
not_p4_2 ).
cnf(c_0_15,negated_conjecture,
( p4(f3(c5,X1),f3(c5,c7))
| ~ p4(X1,c6) ),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( p4(f3(c5,c7),f3(c5,X1))
| ~ p4(c6,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_17,negated_conjecture,
~ p4(c7,c6),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( p2(X1,X2)
| p4(X1,X2)
| p4(X2,X1) ),
p2_5 ).
cnf(c_0_19,negated_conjecture,
~ p4(c6,c7),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
~ p2(c6,c7),
not_p2_3 ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN554-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n010.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 : Tue May 5 08:39:21 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.25/1.71 % Version : CSE_E---1.7
% 1.25/1.71 % Problem : theBenchmark.p
% 1.25/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.71 % SZS output start CNFRefutation
% See solution above
% 1.25/1.71 % Total time : 1.368s
%------------------------------------------------------------------------------