%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN571-1 : 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 : n012.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 05:39:40 PM UTC 2026
% Result : Unsatisfiable 1.11s 1.62s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 10 unt; 0 nHn; 13 RR)
% Number of literals : 43 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 47 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_12,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
cnf(p2_2,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
cnf(p11_17,negated_conjecture,
( p11(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p11(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_17) ).
cnf(p11_3,negated_conjecture,
p11(f5(X1),c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_3) ).
cnf(p2_14,negated_conjecture,
p2(f9(f5(X1),f5(X2)),f5(f8(X1,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
cnf(p11_15,negated_conjecture,
( p11(X1,f3(X2,X3))
| ~ p11(f9(X1,X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_15) ).
cnf(p11_7,negated_conjecture,
( p11(c14,X1)
| ~ p11(f5(f10(X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).
cnf(not_p11_6,negated_conjecture,
~ p11(X1,f3(X1,f5(f6(f7(c12))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_6) ).
cnf(c_0_8,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_12 ).
cnf(c_0_9,negated_conjecture,
p2(X1,X1),
p2_2 ).
cnf(c_0_10,negated_conjecture,
( p11(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p11(X3,X4) ),
p11_17 ).
cnf(c_0_11,negated_conjecture,
p11(f5(X1),c14),
p11_3 ).
cnf(c_0_12,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
p2(f9(f5(X1),f5(X2)),f5(f8(X1,X2))),
p2_14 ).
cnf(c_0_14,negated_conjecture,
( p11(X1,X2)
| ~ p2(f5(X3),X1)
| ~ p2(c14,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
p2(f5(f8(X1,X2)),f9(f5(X1),f5(X2))),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( p11(X1,f3(X2,X3))
| ~ p11(f9(X1,X3),X2) ),
p11_15 ).
cnf(c_0_17,negated_conjecture,
( p11(f9(f5(X1),f5(X2)),X3)
| ~ p2(c14,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( p11(c14,X1)
| ~ p11(f5(f10(X1)),X1) ),
p11_7 ).
cnf(c_0_19,negated_conjecture,
( p11(f5(X1),f3(X2,f5(X3)))
| ~ p2(c14,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
~ p11(X1,f3(X1,f5(f6(f7(c12))))),
not_p11_6 ).
cnf(c_0_21,negated_conjecture,
( p11(c14,f3(X1,f5(X2)))
| ~ p2(c14,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYN571-1 : 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
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Tue May 5 08:40:01 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 1.11/1.62 % Version : CSE_E---1.7
% 1.11/1.62 % Problem : theBenchmark.p
% 1.11/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 1.11/1.62 % SZS output start CNFRefutation
% See solution above
% 1.11/1.62 % Total time : 1.363s
%------------------------------------------------------------------------------