%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN574-1 : 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 : n013.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 05:39:40 PM UTC 2026
% Result : Unsatisfiable 1.61s 1.80s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 33 ( 16 unt; 4 nHn; 24 RR)
% Number of literals : 75 ( 0 equ; 42 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_16,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_16) ).
cnf(p3_3,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).
cnf(p9_19,negated_conjecture,
( p9(X1,X2)
| ~ p7(X3,X1)
| ~ p9(X3,X4)
| ~ p3(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_19) ).
cnf(p9_10,negated_conjecture,
( p9(X1,f4(c14))
| ~ p9(X1,c13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_10) ).
cnf(p3_7,negated_conjecture,
p3(f4(f5(X1)),f4(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
cnf(p9_21,negated_conjecture,
( p9(f8(X1,X2),X1)
| p9(f8(X1,X2),f4(X2))
| ~ p11(X3,c15)
| ~ p9(c12,X1)
| ~ p2(X2,f5(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_21) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
cnf(p11_6,negated_conjecture,
p11(c14,c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_6) ).
cnf(p9_5,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_5) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
cnf(not_p11_22,negated_conjecture,
( ~ p11(X1,c15)
| ~ p9(c12,X2)
| ~ p2(X3,f5(X1))
| ~ p9(f8(X2,X3),X2)
| ~ p9(f8(X2,X3),f4(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_22) ).
cnf(c_0_11,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_16 ).
cnf(c_0_12,negated_conjecture,
p3(X1,X1),
p3_3 ).
cnf(c_0_13,negated_conjecture,
( p9(X1,X2)
| ~ p7(X3,X1)
| ~ p9(X3,X4)
| ~ p3(X4,X2) ),
p9_19 ).
cnf(c_0_14,negated_conjecture,
( p9(X1,f4(c14))
| ~ p9(X1,c13) ),
p9_10 ).
cnf(c_0_15,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
p3(f4(f5(X1)),f4(X1)),
p3_7 ).
cnf(c_0_17,negated_conjecture,
( p9(f8(X1,X2),X1)
| p9(f8(X1,X2),f4(X2))
| ~ p11(X3,c15)
| ~ p9(c12,X1)
| ~ p2(X2,f5(X3)) ),
p9_21 ).
cnf(c_0_18,negated_conjecture,
p2(X1,X1),
p2_4 ).
cnf(c_0_19,negated_conjecture,
( p9(X1,X2)
| ~ p9(X3,c13)
| ~ p3(f4(c14),X2)
| ~ p7(X3,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
p3(f4(X1),f4(f5(X1))),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
( p9(f8(X1,f5(X2)),f4(f5(X2)))
| p9(f8(X1,f5(X2)),X1)
| ~ p11(X2,c15)
| ~ p9(c12,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
p11(c14,c15),
p11_6 ).
cnf(c_0_23,negated_conjecture,
( p9(X1,f4(f5(c14)))
| ~ p9(X2,c13)
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
p9(c12,c13),
p9_5 ).
cnf(c_0_25,negated_conjecture,
( p9(f8(X1,f5(c14)),f4(f5(c14)))
| p9(f8(X1,f5(c14)),X1)
| ~ p9(c12,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( p9(X1,f4(f5(c14)))
| ~ p7(c12,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
p7(X1,X1),
p7_2 ).
cnf(c_0_28,negated_conjecture,
( ~ p11(X1,c15)
| ~ p9(c12,X2)
| ~ p2(X3,f5(X1))
| ~ p9(f8(X2,X3),X2)
| ~ p9(f8(X2,X3),f4(X3)) ),
not_p11_22 ).
cnf(c_0_29,negated_conjecture,
p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_30,negated_conjecture,
( ~ p11(X1,c15)
| ~ p9(c12,f4(f5(c14)))
| ~ p2(f5(c14),f5(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_29])]) ).
cnf(c_0_31,negated_conjecture,
~ p9(c12,f4(f5(c14))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_18]),c_0_22])]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_26]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN574-1 : 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
% 0.15/0.33 % Computer : n013.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 : Tue May 5 08:39:41 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.61/1.80 % Version : CSE_E---1.7
% 1.61/1.80 % Problem : theBenchmark.p
% 1.61/1.80 % SZS status Unsatisfiable for theBenchmark.p
% 1.61/1.80 % SZS output start CNFRefutation
% See solution above
% 1.61/1.81 % Total time : 1.368s
%------------------------------------------------------------------------------