%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN688-1 : 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 : n016.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 05:39:54 PM UTC 2026
% Result : Unsatisfiable 1.75s 1.89s
% Output : CNFRefutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 35 ( 14 unt; 0 nHn; 31 RR)
% Number of literals : 73 ( 0 equ; 41 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p28_44,negated_conjecture,
( p28(X1,X2)
| ~ p18(X3,X2)
| ~ p28(X4,X3)
| ~ p18(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_44) ).
cnf(p28_18,negated_conjecture,
p28(f20(f19(c43)),f19(c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_18) ).
cnf(p18_10,negated_conjecture,
p18(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_10) ).
cnf(p18_37,negated_conjecture,
( p18(X1,X2)
| ~ p18(X3,X1)
| ~ p18(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_37) ).
cnf(p18_31,negated_conjecture,
( p18(f19(f17(X1)),f20(f19(X1)))
| ~ p27(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_31) ).
cnf(c43_is_p27_2,negated_conjecture,
p27(c43),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c43_is_p27_2) ).
cnf(p18_25,negated_conjecture,
( p18(f19(X1),f19(X2))
| ~ p10(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_25) ).
cnf(p25_40,negated_conjecture,
( p25(X1,X2)
| ~ p27(X1)
| ~ p27(X2)
| ~ p28(f19(X1),f19(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_40) ).
cnf(not_p25_16,negated_conjecture,
~ p25(f17(c43),c34),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p25_16) ).
cnf(p10_5,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_5) ).
cnf(c34_is_p27_1,negated_conjecture,
p27(c34),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c34_is_p27_1) ).
cnf(p27_17,negated_conjecture,
( p27(f17(X1))
| ~ p27(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_17) ).
cnf(c_0_12,negated_conjecture,
( p28(X1,X2)
| ~ p18(X3,X2)
| ~ p28(X4,X3)
| ~ p18(X4,X1) ),
p28_44 ).
cnf(c_0_13,negated_conjecture,
p28(f20(f19(c43)),f19(c34)),
p28_18 ).
cnf(c_0_14,negated_conjecture,
( p28(X1,X2)
| ~ p18(f20(f19(c43)),X1)
| ~ p18(f19(c34),X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
p18(X1,X1),
p18_10 ).
cnf(c_0_16,negated_conjecture,
( p18(X1,X2)
| ~ p18(X3,X1)
| ~ p18(X3,X2) ),
p18_37 ).
cnf(c_0_17,negated_conjecture,
( p28(f20(f19(c43)),X1)
| ~ p18(f19(c34),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( p18(X1,X2)
| ~ p18(X2,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( p18(f19(f17(X1)),f20(f19(X1)))
| ~ p27(X1) ),
p18_31 ).
cnf(c_0_20,negated_conjecture,
( p28(X1,X2)
| ~ p18(f20(f19(c43)),X1)
| ~ p18(f19(c34),X3)
| ~ p18(X3,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( p18(f20(f19(X1)),f19(f17(X1)))
| ~ p27(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
p27(c43),
c43_is_p27_2 ).
cnf(c_0_23,negated_conjecture,
( p28(f19(f17(c43)),X1)
| ~ p18(f19(c34),X2)
| ~ p18(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_24,negated_conjecture,
( p18(f19(X1),f19(X2))
| ~ p10(X1,X2) ),
p18_25 ).
cnf(c_0_25,negated_conjecture,
( p28(f19(f17(c43)),X1)
| ~ p18(f19(X2),X1)
| ~ p10(c34,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,negated_conjecture,
( p25(X1,X2)
| ~ p27(X1)
| ~ p27(X2)
| ~ p28(f19(X1),f19(X2)) ),
p25_40 ).
cnf(c_0_27,negated_conjecture,
( p28(f19(f17(c43)),f19(X1))
| ~ p10(c34,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_15]) ).
cnf(c_0_28,negated_conjecture,
~ p25(f17(c43),c34),
not_p25_16 ).
cnf(c_0_29,negated_conjecture,
( p25(f17(c43),X1)
| ~ p10(c34,X1)
| ~ p27(f17(c43))
| ~ p27(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
p10(X1,X1),
p10_5 ).
cnf(c_0_31,negated_conjecture,
p27(c34),
c34_is_p27_1 ).
cnf(c_0_32,negated_conjecture,
~ p27(f17(c43)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]) ).
cnf(c_0_33,negated_conjecture,
( p27(f17(X1))
| ~ p27(X1) ),
p27_17 ).
cnf(c_0_34,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SYN688-1 : TPTP v9.2.1. Released v2.5.0.
% 0.09/0.14 % 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
% 0.16/0.35 % Computer : n016.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Tue May 5 08:43:51 EDT 2026
% 0.16/0.35 % CPUTime :
% 0.16/0.36 % start to proof: theBenchmark
% 1.75/1.89 % Version : CSE_E---1.7
% 1.75/1.89 % Problem : theBenchmark.p
% 1.75/1.89 % SZS status Unsatisfiable for theBenchmark.p
% 1.75/1.89 % SZS output start CNFRefutation
% See solution above
% 1.75/1.89 % Total time : 1.372s
%------------------------------------------------------------------------------