%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN682-1 : 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 : n031.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 1.37s 1.73s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 17 RR)
% Number of literals : 31 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_31,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_31) ).
cnf(p2_39,negated_conjecture,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_39) ).
cnf(p2_7,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
cnf(not_p2_19,negated_conjecture,
~ p2(X1,f18(X1,f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_19) ).
cnf(p2_51,negated_conjecture,
( p2(f11(f4(X1),c34),f11(f4(c32),c34))
| ~ p25(X1,c36)
| ~ p25(c32,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_51) ).
cnf(p25_12,negated_conjecture,
p25(c33,c36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_12) ).
cnf(p25_14,negated_conjecture,
p25(c32,c33),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_14) ).
cnf(c_0_7,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_31 ).
cnf(c_0_8,negated_conjecture,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
p2_39 ).
cnf(c_0_9,negated_conjecture,
p2(X1,X1),
p2_7 ).
cnf(c_0_10,negated_conjecture,
~ p2(X1,f18(X1,f9(f17(c31)))),
not_p2_19 ).
cnf(c_0_11,negated_conjecture,
( p2(X1,f18(f11(f4(c33),c34),f9(f17(c31))))
| ~ p2(f11(f4(c32),c34),X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( p2(f11(f4(X1),c34),f11(f4(c32),c34))
| ~ p25(X1,c36)
| ~ p25(c32,X1) ),
p2_51 ).
cnf(c_0_14,negated_conjecture,
~ p2(f11(f4(c32),c34),f11(f4(c33),c34)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( p2(f11(f4(c32),c34),f11(f4(X1),c34))
| ~ p25(X1,c36)
| ~ p25(c32,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
p25(c33,c36),
p25_12 ).
cnf(c_0_17,negated_conjecture,
p25(c32,c33),
p25_14 ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN682-1 : 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
% 0.16/0.32 % Computer : n031.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 08:45:39 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.37/1.73 % Version : CSE_E---1.7
% 1.37/1.73 % Problem : theBenchmark.p
% 1.37/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.37/1.73 % SZS output start CNFRefutation
% See solution above
% 1.37/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------