%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN573-1 : 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 : n001.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 1.62s 1.83s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 12 unt; 3 nHn; 17 RR)
% Number of literals : 45 ( 0 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 37 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p11_14,negated_conjecture,
( p11(X1,c16)
| p2(X1,f9(c17))
| ~ p12(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_14) ).
cnf(c15_is_p12_1,negated_conjecture,
p12(c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c15_is_p12_1) ).
cnf(not_p11_19,negated_conjecture,
~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_19) ).
cnf(p11_21,negated_conjecture,
( p11(X1,f3(f8(X2),f3(f8(X3),f5(f6(f7(c14))))))
| ~ p11(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_21) ).
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_16,negated_conjecture,
p11(X1,f3(f8(X2),f3(f8(X1),f5(f6(f7(c14)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_16) ).
cnf(p2_13,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_13) ).
cnf(p2_3,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_3) ).
cnf(c_0_8,negated_conjecture,
( p11(X1,c16)
| p2(X1,f9(c17))
| ~ p12(X1) ),
p11_14 ).
cnf(c_0_9,negated_conjecture,
p12(c15),
c15_is_p12_1 ).
cnf(c_0_10,negated_conjecture,
~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
not_p11_19 ).
cnf(c_0_11,negated_conjecture,
( p11(X1,f3(f8(X2),f3(f8(X3),f5(f6(f7(c14))))))
| ~ p11(X1,X2) ),
p11_21 ).
cnf(c_0_12,negated_conjecture,
( p11(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p11(X3,X4) ),
p11_17 ).
cnf(c_0_13,negated_conjecture,
p11(X1,f3(f8(X2),f3(f8(X1),f5(f6(f7(c14)))))),
p11_16 ).
cnf(c_0_14,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_13 ).
cnf(c_0_15,negated_conjecture,
p2(X1,X1),
p2_3 ).
cnf(c_0_16,negated_conjecture,
( p11(c15,c16)
| p2(c15,f9(c17)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_17,negated_conjecture,
~ p11(c15,c16),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_18,negated_conjecture,
( p11(X1,X2)
| ~ p2(f3(f8(X3),f3(f8(X4),f5(f6(f7(c14))))),X2)
| ~ p2(X4,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
p2(c15,f9(c17)),
inference(sr,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( p11(X1,f3(f8(X2),f3(f8(X3),f5(f6(f7(c14))))))
| ~ p2(X3,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_22,negated_conjecture,
p2(f9(c17),c15),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_21]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN573-1 : 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 : n001.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
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 08:40:33 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.62/1.83 % Version : CSE_E---1.7
% 1.62/1.83 % Problem : theBenchmark.p
% 1.62/1.83 % SZS status Unsatisfiable for theBenchmark.p
% 1.62/1.83 % SZS output start CNFRefutation
% See solution above
% 1.62/1.84 % Total time : 1.372s
%------------------------------------------------------------------------------