%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN625-1 : 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 : n029.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 1.43s 1.76s
% Output : CNFRefutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 6 unt; 16 nHn; 20 RR)
% Number of literals : 65 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 67 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p16_32,negated_conjecture,
( p16(f9(X1),X2,X3)
| p18(f9(X1),X2,X4)
| ~ p18(f9(f4(f7(X3,X5),X1)),X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_32) ).
cnf(p15_15,negated_conjecture,
( p15(X1)
| p18(f9(X1),f14(X1),f14(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_15) ).
cnf(not_p15_10,negated_conjecture,
( ~ p15(X1)
| ~ p18(f9(X1),X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_10) ).
cnf(c21_is_p15_1,negated_conjecture,
p15(c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_is_p15_1) ).
cnf(p18_33,negated_conjecture,
( p18(f9(X1),X2,X3)
| p17(f12(X1,X4,X5,X2,X3),f11(X5))
| ~ p18(f9(f4(f7(X4,X5),X1)),X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_33) ).
cnf(p16_23,negated_conjecture,
( p16(X1,X2,X3)
| ~ p16(X1,X2,X4)
| ~ p16(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_23) ).
cnf(p18_34,negated_conjecture,
( p18(f9(X1),X2,X3)
| p16(f9(X1),f12(X1,X4,X5,X2,X3),X3)
| ~ p18(f9(f4(f7(X4,X5),X1)),X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_34) ).
cnf(not_p17_16,negated_conjecture,
( ~ p17(X1,f11(c20))
| ~ p16(f9(c21),X1,c19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p17_16) ).
cnf(f4_is_not_p15_8,negated_conjecture,
~ p15(f4(f7(c19,c20),c21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f4_is_not_p15_8) ).
cnf(c_0_9,negated_conjecture,
( p16(f9(X1),X2,X3)
| p18(f9(X1),X2,X4)
| ~ p18(f9(f4(f7(X3,X5),X1)),X2,X4) ),
p16_32 ).
cnf(c_0_10,negated_conjecture,
( p15(X1)
| p18(f9(X1),f14(X1),f14(X1)) ),
p15_15 ).
cnf(c_0_11,negated_conjecture,
( ~ p15(X1)
| ~ p18(f9(X1),X2,X2) ),
not_p15_10 ).
cnf(c_0_12,negated_conjecture,
( p18(f9(X1),f14(f4(f7(X2,X3),X1)),f14(f4(f7(X2,X3),X1)))
| p16(f9(X1),f14(f4(f7(X2,X3),X1)),X2)
| p15(f4(f7(X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( p16(f9(X1),f14(f4(f7(X2,X3),X1)),X2)
| p15(f4(f7(X2,X3),X1))
| ~ p15(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p15(c21),
c21_is_p15_1 ).
cnf(c_0_15,negated_conjecture,
( p18(f9(X1),X2,X3)
| p17(f12(X1,X4,X5,X2,X3),f11(X5))
| ~ p18(f9(f4(f7(X4,X5),X1)),X2,X3) ),
p18_33 ).
cnf(c_0_16,negated_conjecture,
( p16(X1,X2,X3)
| ~ p16(X1,X2,X4)
| ~ p16(X1,X4,X3) ),
p16_23 ).
cnf(c_0_17,negated_conjecture,
( p16(f9(c21),f14(f4(f7(X1,X2),c21)),X1)
| p15(f4(f7(X1,X2),c21)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( p18(f9(X1),X2,X3)
| p16(f9(X1),f12(X1,X4,X5,X2,X3),X3)
| ~ p18(f9(f4(f7(X4,X5),X1)),X2,X3) ),
p18_34 ).
cnf(c_0_19,negated_conjecture,
( ~ p17(X1,f11(c20))
| ~ p16(f9(c21),X1,c19) ),
not_p17_16 ).
cnf(c_0_20,negated_conjecture,
( p17(f12(X1,X2,X3,f14(f4(f7(X2,X3),X1)),f14(f4(f7(X2,X3),X1))),f11(X3))
| p18(f9(X1),f14(f4(f7(X2,X3),X1)),f14(f4(f7(X2,X3),X1)))
| p15(f4(f7(X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_21,negated_conjecture,
( p16(f9(c21),X1,X2)
| p15(f4(f7(X2,X3),c21))
| ~ p16(f9(c21),X1,f14(f4(f7(X2,X3),c21))) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( p18(f9(X1),f14(f4(f7(X2,X3),X1)),f14(f4(f7(X2,X3),X1)))
| p16(f9(X1),f12(X1,X2,X3,f14(f4(f7(X2,X3),X1)),f14(f4(f7(X2,X3),X1))),f14(f4(f7(X2,X3),X1)))
| p15(f4(f7(X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_10]) ).
cnf(c_0_23,negated_conjecture,
( p18(f9(X1),f14(f4(f7(X2,c20),X1)),f14(f4(f7(X2,c20),X1)))
| p15(f4(f7(X2,c20),X1))
| ~ p16(f9(c21),f12(X1,X2,c20,f14(f4(f7(X2,c20),X1)),f14(f4(f7(X2,c20),X1))),c19) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( p18(f9(c21),f14(f4(f7(X1,X2),c21)),f14(f4(f7(X1,X2),c21)))
| p16(f9(c21),f12(c21,X1,X2,f14(f4(f7(X1,X2),c21)),f14(f4(f7(X1,X2),c21))),X1)
| p15(f4(f7(X1,X2),c21)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
~ p15(f4(f7(c19,c20),c21)),
f4_is_not_p15_8 ).
cnf(c_0_26,negated_conjecture,
p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_26]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN625-1 : 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
% 0.15/0.33 % Computer : n029.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:41:29 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.43/1.76 % Version : CSE_E---1.7
% 1.43/1.76 % Problem : theBenchmark.p
% 1.43/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.43/1.76 % SZS output start CNFRefutation
% See solution above
% 1.43/1.76 % Total time : 1.369s
%------------------------------------------------------------------------------