%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN633-1 : 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 : n006.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 05:39:47 PM UTC 2026
% Result : Unsatisfiable 1.31s 1.73s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 11 unt; 5 nHn; 15 RR)
% Number of literals : 40 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 36 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p21_26,negated_conjecture,
( p21(f12(f13(c28,c29)),f12(f13(c28,X1)))
| ~ p22(X1,f16(f6(c25,f7(c23,c26)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_26) ).
cnf(p3_33,negated_conjecture,
( p3(f4(X1),f8(c24))
| p22(f17(X1,X2,X3),f16(X1))
| p10(f11(X1,c27,X2),f11(X1,c27,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_33) ).
cnf(p3_17,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).
cnf(p3_8,negated_conjecture,
p3(f4(f6(X1,f7(X2,X3))),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
cnf(p3_38,negated_conjecture,
( p3(f4(X1),f8(c24))
| p10(f11(X1,c27,X2),f11(X1,c27,X3))
| ~ p21(f12(f13(X2,X3)),f12(f13(X2,f17(X1,X2,X3)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_38) ).
cnf(not_p10_25,negated_conjecture,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_25) ).
cnf(p3_4,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
cnf(not_p3_7,negated_conjecture,
~ p3(c23,f8(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_7) ).
cnf(c_0_8,negated_conjecture,
( p21(f12(f13(c28,c29)),f12(f13(c28,X1)))
| ~ p22(X1,f16(f6(c25,f7(c23,c26)))) ),
p21_26 ).
cnf(c_0_9,negated_conjecture,
( p3(f4(X1),f8(c24))
| p22(f17(X1,X2,X3),f16(X1))
| p10(f11(X1,c27,X2),f11(X1,c27,X3)) ),
p3_33 ).
cnf(c_0_10,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_17 ).
cnf(c_0_11,negated_conjecture,
p3(f4(f6(X1,f7(X2,X3))),X2),
p3_8 ).
cnf(c_0_12,negated_conjecture,
( p3(f4(X1),f8(c24))
| p10(f11(X1,c27,X2),f11(X1,c27,X3))
| ~ p21(f12(f13(X2,X3)),f12(f13(X2,f17(X1,X2,X3)))) ),
p3_38 ).
cnf(c_0_13,negated_conjecture,
( p21(f12(f13(c28,c29)),f12(f13(c28,f17(f6(c25,f7(c23,c26)),X1,X2))))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p10(f11(f6(c25,f7(c23,c26)),c27,X1),f11(f6(c25,f7(c23,c26)),c27,X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
not_p10_25 ).
cnf(c_0_15,negated_conjecture,
p3(X1,X1),
p3_4 ).
cnf(c_0_16,negated_conjecture,
( p3(X1,X2)
| ~ p3(f4(f6(X3,f7(X2,X4))),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
p3(f4(f6(c25,f7(c23,c26))),f8(c24)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
p3(f8(c24),c23),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
~ p3(c23,f8(c24)),
not_p3_7 ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN633-1 : 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
% 0.15/0.32 % Computer : n006.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 08:41:01 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.31/1.73 % Version : CSE_E---1.7
% 1.31/1.73 % Problem : theBenchmark.p
% 1.31/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.31/1.73 % SZS output start CNFRefutation
% See solution above
% 1.31/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------