%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN648-1 : 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 : n018.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 12.20s 8.26s
% Output : CNFRefutation 12.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 15 unt; 5 nHn; 25 RR)
% Number of literals : 80 ( 0 equ; 46 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p26_32,negated_conjecture,
( p26(X1,X2)
| ~ p25(X3,X1)
| ~ p26(X3,X4)
| ~ p2(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_32) ).
cnf(p26_15,negated_conjecture,
p26(c31,c30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_15) ).
cnf(p2_9,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
cnf(p24_44,negated_conjecture,
( p24(X1,c29)
| p24(f4(f6(c32,X2),f17(f19(f21(f23(c33,X1),X3),X4),X2)),f9(f11(f13(f15(c34,X1),X3),X4),X2))
| ~ p3(X1,X3)
| ~ p2(X4,X2)
| ~ p26(c31,X2)
| ~ p3(X3,f4(X4,c28)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_44) ).
cnf(p3_5,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
cnf(p25_6,negated_conjecture,
p25(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_6) ).
cnf(p2_14,negated_conjecture,
p2(c27,c30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
cnf(not_p24_16,negated_conjecture,
~ p24(f4(c27,c28),c29),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p24_16) ).
cnf(p24_30,negated_conjecture,
( p24(f4(c30,X1),X2)
| ~ p24(f4(f6(c32,c30),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_30) ).
cnf(p24_43,negated_conjecture,
( p24(X1,c29)
| ~ p3(X1,X2)
| ~ p2(X3,X4)
| ~ p26(c31,X4)
| ~ p3(X2,f4(X3,c28))
| ~ p24(f4(X4,f17(f19(f21(f23(c33,X1),X2),X3),X4)),f9(f11(f13(f15(c34,X1),X2),X3),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_43) ).
cnf(c_0_10,negated_conjecture,
( p26(X1,X2)
| ~ p25(X3,X1)
| ~ p26(X3,X4)
| ~ p2(X4,X2) ),
p26_32 ).
cnf(c_0_11,negated_conjecture,
p26(c31,c30),
p26_15 ).
cnf(c_0_12,negated_conjecture,
( p26(X1,X2)
| ~ p2(c30,X2)
| ~ p25(c31,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( p26(X1,X2)
| ~ p2(c30,X3)
| ~ p2(X3,X2)
| ~ p25(c31,X4)
| ~ p25(X4,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p2(X1,X1),
p2_9 ).
cnf(c_0_15,negated_conjecture,
( p24(X1,c29)
| p24(f4(f6(c32,X2),f17(f19(f21(f23(c33,X1),X3),X4),X2)),f9(f11(f13(f15(c34,X1),X3),X4),X2))
| ~ p3(X1,X3)
| ~ p2(X4,X2)
| ~ p26(c31,X2)
| ~ p3(X3,f4(X4,c28)) ),
p24_44 ).
cnf(c_0_16,negated_conjecture,
p3(X1,X1),
p3_5 ).
cnf(c_0_17,negated_conjecture,
( p26(X1,X2)
| ~ p2(c30,X2)
| ~ p25(c31,X3)
| ~ p25(X3,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( p24(f4(f6(c32,X1),f17(f19(f21(f23(c33,X2),f4(X3,c28)),X3),X1)),f9(f11(f13(f15(c34,X2),f4(X3,c28)),X3),X1))
| p24(X2,c29)
| ~ p26(c31,X1)
| ~ p2(X3,X1)
| ~ p3(X2,f4(X3,c28)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
( p26(X1,c30)
| ~ p25(c31,X2)
| ~ p25(X2,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
p25(X1,X1),
p25_6 ).
cnf(c_0_21,negated_conjecture,
( p24(f4(f6(c32,X1),f17(f19(f21(f23(c33,f4(X2,c28)),f4(X2,c28)),X2),X1)),f9(f11(f13(f15(c34,f4(X2,c28)),f4(X2,c28)),X2),X1))
| p24(f4(X2,c28),c29)
| ~ p26(c31,X1)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( p26(X1,c30)
| ~ p25(c31,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
( p24(f4(f6(c32,c30),f17(f19(f21(f23(c33,f4(X1,c28)),f4(X1,c28)),X1),c30)),f9(f11(f13(f15(c34,f4(X1,c28)),f4(X1,c28)),X1),c30))
| p24(f4(X1,c28),c29)
| ~ p2(X1,c30) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_20])]) ).
cnf(c_0_24,negated_conjecture,
p2(c27,c30),
p2_14 ).
cnf(c_0_25,negated_conjecture,
~ p24(f4(c27,c28),c29),
not_p24_16 ).
cnf(c_0_26,negated_conjecture,
( p24(f4(c30,X1),X2)
| ~ p24(f4(f6(c32,c30),X1),X2) ),
p24_30 ).
cnf(c_0_27,negated_conjecture,
p24(f4(f6(c32,c30),f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( p24(X1,c29)
| ~ p3(X1,X2)
| ~ p2(X3,X4)
| ~ p26(c31,X4)
| ~ p3(X2,f4(X3,c28))
| ~ p24(f4(X4,f17(f19(f21(f23(c33,X1),X2),X3),X4)),f9(f11(f13(f15(c34,X1),X2),X3),X4)) ),
p24_43 ).
cnf(c_0_29,negated_conjecture,
p24(f4(c30,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_11]),c_0_24]),c_0_16])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN648-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n018.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 08:43:02 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 12.20/8.26 % Version : CSE_E---1.7
% 12.20/8.26 % Problem : theBenchmark.p
% 12.20/8.26 % SZS status Unsatisfiable for theBenchmark.p
% 12.20/8.26 % SZS output start CNFRefutation
% See solution above
% 12.20/8.30 % Total time : 6.381s
%------------------------------------------------------------------------------