%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN689-1 : 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 : n027.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 05:39:55 PM UTC 2026
% Result : Unsatisfiable 1.77s 1.85s
% Output : CNFRefutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of clauses : 46 ( 17 unt; 0 nHn; 42 RR)
% Number of literals : 95 ( 0 equ; 52 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 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(c35)),
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(p10_32,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_32) ).
cnf(p10_5,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_5) ).
cnf(p10_56,negated_conjecture,
p10(c35,f11(f13(f5(c31),f14(f5(f6(f7(f7(f6(f6(f7(f7(c31)))))))),f5(c31))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_56) ).
cnf(p18_25,negated_conjecture,
( p18(f19(X1),f19(X2))
| ~ p10(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_25) ).
cnf(p27_21,negated_conjecture,
( p27(X1)
| ~ p27(X2)
| ~ p10(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_21) ).
cnf(c35_is_p27_3,negated_conjecture,
p27(c35),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c35_is_p27_3) ).
cnf(p26_41,negated_conjecture,
( p26(X1,X2)
| ~ p27(X1)
| ~ p27(X2)
| ~ p28(f19(X1),f19(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_41) ).
cnf(not_p26_15,negated_conjecture,
~ p26(f17(c43),c35),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p26_15) ).
cnf(p27_17,negated_conjecture,
( p27(f17(X1))
| ~ p27(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_17) ).
cnf(c_0_15,negated_conjecture,
( p28(X1,X2)
| ~ p18(X3,X2)
| ~ p28(X4,X3)
| ~ p18(X4,X1) ),
p28_44 ).
cnf(c_0_16,negated_conjecture,
p28(f20(f19(c43)),f19(c35)),
p28_18 ).
cnf(c_0_17,negated_conjecture,
( p28(X1,X2)
| ~ p18(f20(f19(c43)),X1)
| ~ p18(f19(c35),X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
p18(X1,X1),
p18_10 ).
cnf(c_0_19,negated_conjecture,
( p18(X1,X2)
| ~ p18(X3,X1)
| ~ p18(X3,X2) ),
p18_37 ).
cnf(c_0_20,negated_conjecture,
( p28(f20(f19(c43)),X1)
| ~ p18(f19(c35),X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( p18(X1,X2)
| ~ p18(X2,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( p18(f19(f17(X1)),f20(f19(X1)))
| ~ p27(X1) ),
p18_31 ).
cnf(c_0_23,negated_conjecture,
( p28(X1,X2)
| ~ p18(f20(f19(c43)),X1)
| ~ p18(f19(c35),X3)
| ~ p18(X3,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( p18(f20(f19(X1)),f19(f17(X1)))
| ~ p27(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
p27(c43),
c43_is_p27_2 ).
cnf(c_0_26,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
p10_32 ).
cnf(c_0_27,negated_conjecture,
p10(X1,X1),
p10_5 ).
cnf(c_0_28,negated_conjecture,
p10(c35,f11(f13(f5(c31),f14(f5(f6(f7(f7(f6(f6(f7(f7(c31)))))))),f5(c31))))),
p10_56 ).
cnf(c_0_29,negated_conjecture,
( p28(f19(f17(c43)),X1)
| ~ p18(f19(c35),X2)
| ~ p18(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_30,negated_conjecture,
( p18(f19(X1),f19(X2))
| ~ p10(X1,X2) ),
p18_25 ).
cnf(c_0_31,negated_conjecture,
( p10(X1,X2)
| ~ p10(X2,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( p10(X1,f11(f13(f5(c31),f14(f5(f6(f7(f7(f6(f6(f7(f7(c31)))))))),f5(c31)))))
| ~ p10(c35,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( p27(X1)
| ~ p27(X2)
| ~ p10(X2,X1) ),
p27_21 ).
cnf(c_0_34,negated_conjecture,
p27(c35),
c35_is_p27_3 ).
cnf(c_0_35,negated_conjecture,
( p28(f19(f17(c43)),X1)
| ~ p18(f19(X2),X1)
| ~ p10(c35,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
( p10(f11(f13(f5(c31),f14(f5(f6(f7(f7(f6(f6(f7(f7(c31)))))))),f5(c31)))),X1)
| ~ p10(c35,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
p27(f11(f13(f5(c31),f14(f5(f6(f7(f7(f6(f6(f7(f7(c31)))))))),f5(c31))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_28]),c_0_34])]) ).
cnf(c_0_38,negated_conjecture,
( p26(X1,X2)
| ~ p27(X1)
| ~ p27(X2)
| ~ p28(f19(X1),f19(X2)) ),
p26_41 ).
cnf(c_0_39,negated_conjecture,
( p28(f19(f17(c43)),f19(X1))
| ~ p10(c35,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_18]) ).
cnf(c_0_40,negated_conjecture,
( p27(X1)
| ~ p10(c35,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_36]),c_0_37])]) ).
cnf(c_0_41,negated_conjecture,
~ p26(f17(c43),c35),
not_p26_15 ).
cnf(c_0_42,negated_conjecture,
( p26(f17(c43),X1)
| ~ p10(c35,X1)
| ~ p27(f17(c43)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_43,negated_conjecture,
~ p27(f17(c43)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_27])]) ).
cnf(c_0_44,negated_conjecture,
( p27(f17(X1))
| ~ p27(X1) ),
p27_17 ).
cnf(c_0_45,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN689-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n027.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 08:43:34 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.77/1.85 % Version : CSE_E---1.7
% 1.77/1.85 % Problem : theBenchmark.p
% 1.77/1.85 % SZS status Unsatisfiable for theBenchmark.p
% 1.77/1.85 % SZS output start CNFRefutation
% See solution above
% 1.77/1.85 % Total time : 1.373s
%------------------------------------------------------------------------------