%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN613-1 : 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 : n016.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 05:39:45 PM UTC 2026
% Result : Unsatisfiable 3.53s 3.09s
% Output : CNFRefutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 19 unt; 0 nHn; 21 RR)
% Number of literals : 46 ( 0 equ; 21 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p11_15,negated_conjecture,
( p11(X1,X2)
| ~ p11(X3,X1)
| ~ p11(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_15) ).
cnf(p11_1,negated_conjecture,
p11(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_1) ).
cnf(p11_8,negated_conjecture,
p11(c24,f12(f9(c21))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_8) ).
cnf(p11_7,negated_conjecture,
p11(c23,f12(f9(c21))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).
cnf(p17_29,negated_conjecture,
( p17(X1,X2,X3)
| ~ p3(X4,X2)
| ~ p16(X5,X1)
| ~ p11(X6,X3)
| ~ p17(X5,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_29) ).
cnf(p17_21,negated_conjecture,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_21) ).
cnf(p3_4,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
cnf(not_p17_22,negated_conjecture,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p17_22) ).
cnf(p16_6,negated_conjecture,
p16(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_6) ).
cnf(c_0_9,negated_conjecture,
( p11(X1,X2)
| ~ p11(X3,X1)
| ~ p11(X3,X2) ),
p11_15 ).
cnf(c_0_10,negated_conjecture,
p11(X1,X1),
p11_1 ).
cnf(c_0_11,negated_conjecture,
( p11(X1,X2)
| ~ p11(X2,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
p11(c24,f12(f9(c21))),
p11_8 ).
cnf(c_0_13,negated_conjecture,
p11(f12(f9(c21)),c24),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p11(c23,f12(f9(c21))),
p11_7 ).
cnf(c_0_15,negated_conjecture,
( p17(X1,X2,X3)
| ~ p3(X4,X2)
| ~ p16(X5,X1)
| ~ p11(X6,X3)
| ~ p17(X5,X4,X6) ),
p17_29 ).
cnf(c_0_16,negated_conjecture,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
p17_21 ).
cnf(c_0_17,negated_conjecture,
( p11(X1,c24)
| ~ p11(f12(f9(c21)),X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
p11(f12(f9(c21)),c23),
inference(spm,[status(thm)],[c_0_11,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( p17(X1,X2,X3)
| ~ p16(c19,X1)
| ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),X2)
| ~ p11(c24,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
p3(X1,X1),
p3_4 ).
cnf(c_0_21,negated_conjecture,
p11(c23,c24),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
not_p17_22 ).
cnf(c_0_23,negated_conjecture,
( p17(X1,f4(f7(f10(c20),f8(f9(c21),c22))),X2)
| ~ p16(c19,X1)
| ~ p11(c24,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
p16(X1,X1),
p16_6 ).
cnf(c_0_25,negated_conjecture,
p11(c24,c23),
inference(spm,[status(thm)],[c_0_11,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN613-1 : 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 : n016.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 08:42:06 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 3.53/3.09 % Version : CSE_E---1.7
% 3.53/3.09 % Problem : theBenchmark.p
% 3.53/3.09 % SZS status Unsatisfiable for theBenchmark.p
% 3.53/3.09 % SZS output start CNFRefutation
% See solution above
% 3.53/3.10 % Total time : 2.370s
%------------------------------------------------------------------------------