%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN708-1 : 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 : n006.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 3.61s 3.05s
% Output : CNFRefutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 34 ( 16 unt; 0 nHn; 32 RR)
% Number of literals : 71 ( 0 equ; 40 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 13 ( 3 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 : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_37,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_37) ).
cnf(p10_3,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_3) ).
cnf(p39_52,negated_conjecture,
( p39(X1,X2)
| ~ p16(X3,X2)
| ~ p39(X4,X3)
| ~ p16(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_52) ).
cnf(p39_54,negated_conjecture,
( p39(f19(X1),f19(X2))
| ~ p38(X2)
| ~ p38(X1)
| ~ p37(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_54) ).
cnf(p10_66,negated_conjecture,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_66) ).
cnf(p16_36,negated_conjecture,
( p16(f19(f15(X1)),f28(f19(X1)))
| ~ p38(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_36) ).
cnf(p38_15,negated_conjecture,
( p38(f15(X1))
| ~ p38(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p38_15) ).
cnf(p38_19,negated_conjecture,
( p38(X1)
| ~ p38(X2)
| ~ p10(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p38_19) ).
cnf(f11_is_p38_64,negated_conjecture,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11_is_p38_64) ).
cnf(p37_13,negated_conjecture,
p37(f15(c56),c48),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_13) ).
cnf(c56_is_p38_1,negated_conjecture,
p38(c56),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c56_is_p38_1) ).
cnf(not_p39_69,negated_conjecture,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p39_69) ).
cnf(p16_32,negated_conjecture,
( p16(f19(X1),f19(X2))
| ~ p10(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_32) ).
cnf(c_0_13,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
p10_37 ).
cnf(c_0_14,negated_conjecture,
p10(X1,X1),
p10_3 ).
cnf(c_0_15,negated_conjecture,
( p39(X1,X2)
| ~ p16(X3,X2)
| ~ p39(X4,X3)
| ~ p16(X4,X1) ),
p39_52 ).
cnf(c_0_16,negated_conjecture,
( p39(f19(X1),f19(X2))
| ~ p38(X2)
| ~ p38(X1)
| ~ p37(X1,X2) ),
p39_54 ).
cnf(c_0_17,negated_conjecture,
( p10(X1,X2)
| ~ p10(X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
p10_66 ).
cnf(c_0_19,negated_conjecture,
( p39(X1,X2)
| ~ p37(X3,X4)
| ~ p16(f19(X3),X1)
| ~ p16(f19(X4),X2)
| ~ p38(X4)
| ~ p38(X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( p16(f19(f15(X1)),f28(f19(X1)))
| ~ p38(X1) ),
p16_36 ).
cnf(c_0_21,negated_conjecture,
( p38(f15(X1))
| ~ p38(X1) ),
p38_15 ).
cnf(c_0_22,negated_conjecture,
( p38(X1)
| ~ p38(X2)
| ~ p10(X2,X1) ),
p38_19 ).
cnf(c_0_23,negated_conjecture,
p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),c48),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
f11_is_p38_64 ).
cnf(c_0_25,negated_conjecture,
( p39(f28(f19(X1)),X2)
| ~ p37(f15(X1),X3)
| ~ p16(f19(X3),X2)
| ~ p38(X3)
| ~ p38(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_26,negated_conjecture,
p37(f15(c56),c48),
p37_13 ).
cnf(c_0_27,negated_conjecture,
p38(c48),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_28,negated_conjecture,
p38(c56),
c56_is_p38_1 ).
cnf(c_0_29,negated_conjecture,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
not_p39_69 ).
cnf(c_0_30,negated_conjecture,
( p39(f28(f19(c56)),X1)
| ~ p16(f19(c48),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28])]) ).
cnf(c_0_31,negated_conjecture,
~ p16(f19(c48),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_32,negated_conjecture,
( p16(f19(X1),f19(X2))
| ~ p10(X1,X2) ),
p16_32 ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN708-1 : 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 : n006.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 08:44:01 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 3.61/3.05 % Version : CSE_E---1.7
% 3.61/3.05 % Problem : theBenchmark.p
% 3.61/3.05 % SZS status Unsatisfiable for theBenchmark.p
% 3.61/3.05 % SZS output start CNFRefutation
% See solution above
% 3.61/3.06 % Total time : 2.367s
%------------------------------------------------------------------------------