%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN577-1 : 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 05:39:40 PM UTC 2026
% Result : Unsatisfiable 1.11s 1.62s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 29 ( 17 unt; 0 nHn; 27 RR)
% Number of literals : 53 ( 0 equ; 29 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_14,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_12,negated_conjecture,
p2(f5(f6(c9),c20),c18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
cnf(p2_11,negated_conjecture,
p2(f5(f6(c9),c19),c17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
cnf(not_p7_20,negated_conjecture,
( ~ p7(X1,c10)
| ~ p2(c15,X2)
| ~ p2(c16,X3)
| ~ p2(f4(X2,c14),f5(f6(X1),c19))
| ~ p2(f4(X3,c14),f5(f6(X1),c20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p7_20) ).
cnf(p7_5,negated_conjecture,
p7(c9,c10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_5) ).
cnf(p2_8,negated_conjecture,
p2(f4(c16,c14),c18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
cnf(p2_9,negated_conjecture,
p2(f4(c15,c14),c17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).
cnf(c_0_8,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_14 ).
cnf(c_0_9,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_10,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
p2(f5(f6(c9),c20),c18),
p2_12 ).
cnf(c_0_12,negated_conjecture,
p2(c18,f5(f6(c9),c20)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
p2(f5(f6(c9),c19),c17),
p2_11 ).
cnf(c_0_14,negated_conjecture,
( ~ p7(X1,c10)
| ~ p2(c15,X2)
| ~ p2(c16,X3)
| ~ p2(f4(X2,c14),f5(f6(X1),c19))
| ~ p2(f4(X3,c14),f5(f6(X1),c20)) ),
not_p7_20 ).
cnf(c_0_15,negated_conjecture,
( p2(X1,f5(f6(c9),c20))
| ~ p2(c18,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
p7(c9,c10),
p7_5 ).
cnf(c_0_17,negated_conjecture,
p2(c17,f5(f6(c9),c19)),
inference(spm,[status(thm)],[c_0_10,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
p2(f4(c16,c14),c18),
p2_8 ).
cnf(c_0_19,negated_conjecture,
( ~ p2(f4(X1,c14),f5(f6(c9),c19))
| ~ p2(c18,f4(X2,c14))
| ~ p2(c15,X1)
| ~ p2(c16,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_20,negated_conjecture,
( p2(X1,f5(f6(c9),c19))
| ~ p2(c17,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
p2(c18,f4(c16,c14)),
inference(spm,[status(thm)],[c_0_10,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
p2(f4(c15,c14),c17),
p2_9 ).
cnf(c_0_23,negated_conjecture,
( ~ p2(c18,f4(X1,c14))
| ~ p2(c17,f4(X2,c14))
| ~ p2(c15,X2)
| ~ p2(c16,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( p2(X1,f4(c16,c14))
| ~ p2(c18,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
p2(c17,f4(c15,c14)),
inference(spm,[status(thm)],[c_0_10,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( ~ p2(c17,f4(X1,c14))
| ~ p2(c15,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_9]),c_0_9])]) ).
cnf(c_0_27,negated_conjecture,
( p2(X1,f4(c15,c14))
| ~ p2(c17,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_9]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYN577-1 : 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 : n024.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 03:39:41 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 : 1.362s
%------------------------------------------------------------------------------