%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN710-1 : 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 : n024.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 1.12s 1.61s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 16 ( 5 unt; 2 nHn; 12 RR)
% Number of literals : 29 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 23 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p33_80,negated_conjecture,
( p33(f18(c51,X1),X2)
| ~ p33(f11(c46,X3),X2)
| ~ p33(f18(c51,X1),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_80) ).
cnf(p33_50,negated_conjecture,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_50) ).
cnf(p33_75,negated_conjecture,
( p33(f18(c51,X1),f13(f16(c48,X2),X3))
| ~ p33(f18(c51,X1),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_75) ).
cnf(p33_73,negated_conjecture,
( p33(f11(c46,X1),X2)
| ~ p33(f18(c51,f20(f22(c52,X1),X2)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_73) ).
cnf(p33_72,negated_conjecture,
( p33(f11(c46,X1),X2)
| p33(f18(c51,f20(f22(c52,X1),X2)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_72) ).
cnf(not_p33_25,negated_conjecture,
~ p33(f11(c46,c50),f9(c47,c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p33_25) ).
cnf(c_0_6,negated_conjecture,
( p33(f18(c51,X1),X2)
| ~ p33(f11(c46,X3),X2)
| ~ p33(f18(c51,X1),X3) ),
p33_80 ).
cnf(c_0_7,negated_conjecture,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
p33_50 ).
cnf(c_0_8,negated_conjecture,
( p33(f18(c51,X1),f9(c47,c43))
| ~ p33(f18(c51,X1),f13(f16(c48,c49),c50)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
( p33(f18(c51,X1),f13(f16(c48,X2),X3))
| ~ p33(f18(c51,X1),X3) ),
p33_75 ).
cnf(c_0_10,negated_conjecture,
( p33(f11(c46,X1),X2)
| ~ p33(f18(c51,f20(f22(c52,X1),X2)),X2) ),
p33_73 ).
cnf(c_0_11,negated_conjecture,
( p33(f18(c51,X1),f9(c47,c43))
| ~ p33(f18(c51,X1),c50) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( p33(f11(c46,X1),f9(c47,c43))
| ~ p33(f18(c51,f20(f22(c52,X1),f9(c47,c43))),c50) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( p33(f11(c46,X1),X2)
| p33(f18(c51,f20(f22(c52,X1),X2)),X1) ),
p33_72 ).
cnf(c_0_14,negated_conjecture,
~ p33(f11(c46,c50),f9(c47,c43)),
not_p33_25 ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYN710-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.06 % 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
% 0.08/0.24 % Computer : n024.cluster.edu
% 0.08/0.24 % Model : x86_64 x86_64
% 0.08/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.24 % Memory : 8042.1875MB
% 0.08/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.24 % CPULimit : 300
% 0.08/0.24 % WCLimit : 300
% 0.08/0.24 % DateTime : Tue May 5 03:43:57 EDT 2026
% 0.08/0.24 % CPUTime :
% 0.08/0.25 % start to proof: theBenchmark
% 1.12/1.61 % Version : CSE_E---1.7
% 1.12/1.61 % Problem : theBenchmark.p
% 1.12/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 1.12/1.61 % SZS output start CNFRefutation
% See solution above
% 1.12/1.61 % Total time : 1.360s
%------------------------------------------------------------------------------