%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN609-1 : 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 : n024.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 05:39:45 PM UTC 2026
% Result : Unsatisfiable 8.34s 5.75s
% Output : CNFRefutation 8.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 25 ( 13 unt; 0 nHn; 21 RR)
% Number of literals : 49 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p17_20,negated_conjecture,
( p17(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p17(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_20) ).
cnf(p17_29,negated_conjecture,
p17(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_29) ).
cnf(p2_12,negated_conjecture,
( p2(f9(X1),f9(X2))
| ~ p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
cnf(p3_19,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_19) ).
cnf(p3_4,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).
cnf(p3_24,negated_conjecture,
( p3(f10(X1,X2),f10(X3,X4))
| ~ p3(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_24) ).
cnf(p3_27,negated_conjecture,
p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_27) ).
cnf(not_p17_28,negated_conjecture,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p17_28) ).
cnf(p2_2,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
cnf(c_0_9,negated_conjecture,
( p17(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p17(X3,X4) ),
p17_20 ).
cnf(c_0_10,negated_conjecture,
p17(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f6(f7(f8(c20)))),
p17_29 ).
cnf(c_0_11,negated_conjecture,
( p17(X1,X2)
| ~ p2(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),X1)
| ~ p2(f6(f7(f8(c20))),X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( p2(f9(X1),f9(X2))
| ~ p3(X1,X2) ),
p2_12 ).
cnf(c_0_13,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_19 ).
cnf(c_0_14,negated_conjecture,
p3(X1,X1),
p3_4 ).
cnf(c_0_15,negated_conjecture,
( p17(f9(X1),X2)
| ~ p3(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20)))))),X1)
| ~ p2(f6(f7(f8(c20))),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( p3(f10(X1,X2),f10(X3,X4))
| ~ p3(X1,X3)
| ~ p3(X2,X4) ),
p3_24 ).
cnf(c_0_17,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20)))))),
p3_27 ).
cnf(c_0_19,negated_conjecture,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21))),f6(f7(f8(c20)))),
not_p17_28 ).
cnf(c_0_20,negated_conjecture,
( p17(f9(f10(X1,X2)),X3)
| ~ p3(f15(f4(f6(f7(f8(c20))))),X2)
| ~ p3(f14(f4(f9(c19)),c19),X1)
| ~ p2(f6(f7(f8(c20))),X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
p2(X1,X1),
p2_2 ).
cnf(c_0_22,negated_conjecture,
p3(f15(f4(f6(f7(f8(c20))))),f12(f15(f4(f6(f7(f8(c20))))),c21)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
~ p3(f15(f4(f6(f7(f8(c20))))),f12(X1,c21)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_14]),c_0_21])]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_22,c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYN609-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.06 % 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
% 0.06/0.24 % Computer : n024.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Tue May 5 03:41:41 EDT 2026
% 0.06/0.25 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 8.34/5.75 % Version : CSE_E---1.7
% 8.34/5.75 % Problem : theBenchmark.p
% 8.34/5.75 % SZS status Unsatisfiable for theBenchmark.p
% 8.34/5.75 % SZS output start CNFRefutation
% See solution above
% 8.34/5.78 % Total time : 4.361s
%------------------------------------------------------------------------------