%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN647-1 : 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 : n021.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 05:39:49 PM UTC 2026
% Result : Unsatisfiable 1.24s 1.68s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 20 unt; 0 nHn; 25 RR)
% Number of literals : 42 ( 0 equ; 18 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_28,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).
cnf(p2_14,negated_conjecture,
p2(f13(f11(c23)),f13(f11(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
cnf(p2_35,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_35) ).
cnf(p2_5,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
cnf(p2_36,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_36) ).
cnf(p21_40,negated_conjecture,
( p21(f17(X1),f17(X2))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f12(f11(X2)),f7(c24))
| ~ p2(f13(f11(X1)),f13(f11(X2)))
| ~ p20(f14(f11(X1)),f14(f11(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_40) ).
cnf(p20_12,negated_conjecture,
p20(f14(f11(c25)),f14(f11(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_12) ).
cnf(p2_9,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
cnf(p2_10,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
cnf(not_p21_7,negated_conjecture,
~ p21(f17(c25),f17(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p21_7) ).
cnf(c_0_10,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_28 ).
cnf(c_0_11,negated_conjecture,
p2(f13(f11(c23)),f13(f11(c22))),
p2_14 ).
cnf(c_0_12,negated_conjecture,
( p2(X1,f13(f11(c22)))
| ~ p2(f13(f11(c23)),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
p2_35 ).
cnf(c_0_14,negated_conjecture,
p2(X1,X1),
p2_5 ).
cnf(c_0_15,negated_conjecture,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22))),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
p2_36 ).
cnf(c_0_18,negated_conjecture,
( p21(f17(X1),f17(X2))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f12(f11(X2)),f7(c24))
| ~ p2(f13(f11(X1)),f13(f11(X2)))
| ~ p20(f14(f11(X1)),f14(f11(X2))) ),
p21_40 ).
cnf(c_0_19,negated_conjecture,
p20(f14(f11(c25)),f14(f11(c22))),
p20_12 ).
cnf(c_0_20,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
p2_9 ).
cnf(c_0_21,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
p2_10 ).
cnf(c_0_22,negated_conjecture,
~ p21(f17(c25),f17(c22)),
not_p21_7 ).
cnf(c_0_23,negated_conjecture,
( p2(X1,f13(f11(c22)))
| ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
cnf(c_0_24,negated_conjecture,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_25,negated_conjecture,
~ p2(f13(f11(c25)),f13(f11(c22))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN647-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.10 % 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
% 0.12/0.29 % Computer : n021.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8042.1875MB
% 0.12/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.29 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Tue May 5 08:43:40 EDT 2026
% 0.12/0.30 % CPUTime :
% 0.12/0.31 % start to proof: theBenchmark
% 1.24/1.68 % Version : CSE_E---1.7
% 1.24/1.68 % Problem : theBenchmark.p
% 1.24/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.68 % SZS output start CNFRefutation
% See solution above
% 1.24/1.68 % Total time : 1.368s
%------------------------------------------------------------------------------