%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN555-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n027.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 1.28s 1.73s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 16 unt; 0 nHn; 20 RR)
% Number of literals : 53 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 48 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_8,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_8) ).
cnf(p4_2,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_2) ).
cnf(p4_11,negated_conjecture,
( p4(f5(X1,X2,X3),f5(X4,X5,X6))
| ~ p3(X2,X5)
| ~ p4(X3,X6)
| ~ p2(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_11) ).
cnf(p4_4,negated_conjecture,
p4(f5(c7,c10,c9),c9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).
cnf(p4_6,negated_conjecture,
p4(f5(c7,X1,c8),f5(c7,X1,c9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_6) ).
cnf(p4_12,negated_conjecture,
( p4(f5(c7,X1,X2),X2)
| ~ p4(f5(c7,X1,X3),X3)
| ~ p4(f5(c7,f6(X1,X3,X2),X3),f5(c7,f6(X1,X3,X2),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_12) ).
cnf(p3_3,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(not_p4_5,negated_conjecture,
~ p4(f5(c7,c10,c8),c8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_5) ).
cnf(c_0_9,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_8 ).
cnf(c_0_10,negated_conjecture,
p4(X1,X1),
p4_2 ).
cnf(c_0_11,negated_conjecture,
( p4(X1,X2)
| ~ p4(X2,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( p4(f5(X1,X2,X3),f5(X4,X5,X6))
| ~ p3(X2,X5)
| ~ p4(X3,X6)
| ~ p2(X1,X4) ),
p4_11 ).
cnf(c_0_13,negated_conjecture,
p4(f5(c7,c10,c9),c9),
p4_4 ).
cnf(c_0_14,negated_conjecture,
p4(f5(c7,X1,c8),f5(c7,X1,c9)),
p4_6 ).
cnf(c_0_15,negated_conjecture,
( p4(f5(c7,X1,X2),X2)
| ~ p4(f5(c7,X1,X3),X3)
| ~ p4(f5(c7,f6(X1,X3,X2),X3),f5(c7,f6(X1,X3,X2),X2)) ),
p4_12 ).
cnf(c_0_16,negated_conjecture,
( p4(f5(X1,X2,X3),f5(X4,X5,X6))
| ~ p3(X5,X2)
| ~ p4(X6,X3)
| ~ p2(X4,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
p3(X1,X1),
p3_3 ).
cnf(c_0_18,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_19,negated_conjecture,
( p4(X1,c9)
| ~ p4(f5(c7,c10,c9),X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_13]) ).
cnf(c_0_20,negated_conjecture,
p4(f5(c7,X1,c9),f5(c7,X1,c8)),
inference(spm,[status(thm)],[c_0_11,c_0_14]) ).
cnf(c_0_21,negated_conjecture,
( p4(f5(c7,X1,X2),X2)
| ~ p4(f5(c7,X1,X3),X3)
| ~ p4(X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]) ).
cnf(c_0_22,negated_conjecture,
p4(f5(c7,c10,c8),c9),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
~ p4(f5(c7,c10,c8),c8),
not_p4_5 ).
cnf(c_0_24,negated_conjecture,
( p4(f5(c7,c10,X1),X1)
| ~ p4(X1,c9) ),
inference(spm,[status(thm)],[c_0_21,c_0_13]) ).
cnf(c_0_25,negated_conjecture,
( p4(X1,c9)
| ~ p4(f5(c7,c10,c8),X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( p4(f5(c7,X1,c8),c8)
| ~ p4(f5(c7,X1,c9),c9) ),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_27,negated_conjecture,
~ p4(c8,c9),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_13])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN555-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n027.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 08:39:35 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.28/1.73 % Version : CSE_E---1.7
% 1.28/1.73 % Problem : theBenchmark.p
% 1.28/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.28/1.73 % SZS output start CNFRefutation
% See solution above
% 1.28/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------