%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN709-1 : 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 : n022.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 05:39:57 PM UTC 2026
% Result : Unsatisfiable 1.37s 1.74s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 24 ( 12 unt; 0 nHn; 18 RR)
% Number of literals : 50 ( 0 equ; 28 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 : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p47_60,negated_conjecture,
( p47(X1,X2)
| ~ p30(X3,X1)
| ~ p47(X3,X4)
| ~ p19(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_60) ).
cnf(p47_83,negated_conjecture,
( p47(f31(f33(c62,c63),f25(f28(c64,c65),X1)),f25(f28(c64,c65),X2))
| ~ p47(f31(f33(c62,c63),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_83) ).
cnf(p30_72,negated_conjecture,
( p30(f31(X1,X2),f31(X3,X4))
| ~ p19(X2,X4)
| ~ p29(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_72) ).
cnf(p47_81,negated_conjecture,
( p47(f31(f33(c62,c63),f34(c66,X1)),X2)
| ~ p46(f23(c58,X1),f20(c59,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_81) ).
cnf(p46_29,negated_conjecture,
p46(f23(c58,c56),f20(c59,c60)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p46_29) ).
cnf(p19_59,negated_conjecture,
p19(f25(f28(c64,X1),f34(c66,X2)),f34(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_59) ).
cnf(not_p47_64,negated_conjecture,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p47_64) ).
cnf(p19_21,negated_conjecture,
p19(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_21) ).
cnf(p29_14,negated_conjecture,
p29(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_14) ).
cnf(c_0_9,negated_conjecture,
( p47(X1,X2)
| ~ p30(X3,X1)
| ~ p47(X3,X4)
| ~ p19(X4,X2) ),
p47_60 ).
cnf(c_0_10,negated_conjecture,
( p47(f31(f33(c62,c63),f25(f28(c64,c65),X1)),f25(f28(c64,c65),X2))
| ~ p47(f31(f33(c62,c63),X1),X2) ),
p47_83 ).
cnf(c_0_11,negated_conjecture,
( p47(X1,X2)
| ~ p47(f31(f33(c62,c63),X3),X4)
| ~ p19(f25(f28(c64,c65),X4),X2)
| ~ p30(f31(f33(c62,c63),f25(f28(c64,c65),X3)),X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( p30(f31(X1,X2),f31(X3,X4))
| ~ p19(X2,X4)
| ~ p29(X1,X3) ),
p30_72 ).
cnf(c_0_13,negated_conjecture,
( p47(f31(f33(c62,c63),f34(c66,X1)),X2)
| ~ p46(f23(c58,X1),f20(c59,X2)) ),
p47_81 ).
cnf(c_0_14,negated_conjecture,
p46(f23(c58,c56),f20(c59,c60)),
p46_29 ).
cnf(c_0_15,negated_conjecture,
( p47(f31(X1,X2),X3)
| ~ p47(f31(f33(c62,c63),X4),X5)
| ~ p19(f25(f28(c64,c65),X5),X3)
| ~ p19(f25(f28(c64,c65),X4),X2)
| ~ p29(f33(c62,c63),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
p47(f31(f33(c62,c63),f34(c66,c56)),c60),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( p47(f31(X1,X2),X3)
| ~ p19(f25(f28(c64,c65),f34(c66,c56)),X2)
| ~ p19(f25(f28(c64,c65),c60),X3)
| ~ p29(f33(c62,c63),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
p19(f25(f28(c64,X1),f34(c66,X2)),f34(X1,X2)),
p19_59 ).
cnf(c_0_19,negated_conjecture,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
not_p47_64 ).
cnf(c_0_20,negated_conjecture,
( p47(f31(X1,f34(c65,c56)),X2)
| ~ p19(f25(f28(c64,c65),c60),X2)
| ~ p29(f33(c62,c63),X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
p19(X1,X1),
p19_21 ).
cnf(c_0_22,negated_conjecture,
p29(X1,X1),
p29_14 ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN709-1 : 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
% 0.14/0.33 % Computer : n022.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:44:06 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.37/1.74 % Version : CSE_E---1.7
% 1.37/1.74 % Problem : theBenchmark.p
% 1.37/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.37/1.74 % SZS output start CNFRefutation
% See solution above
% 1.37/1.74 % Total time : 1.368s
%------------------------------------------------------------------------------