%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN570-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.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 05:39:39 PM UTC 2026
% Result : Unsatisfiable 1.25s 1.72s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 18 unt; 0 nHn; 24 RR)
% Number of literals : 55 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_17,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
cnf(p3_9,negated_conjecture,
p3(f4(f5(X1)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_9) ).
cnf(p2_18,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).
cnf(p2_5,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
cnf(p3_13,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_13) ).
cnf(p2_8,negated_conjecture,
p2(c12,f5(c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
cnf(p9_19,negated_conjecture,
( p9(X1,X2)
| ~ p7(X3,X2)
| ~ p9(X4,X3)
| ~ p3(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_19) ).
cnf(p9_7,negated_conjecture,
p9(c15,f8(c13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_7) ).
cnf(p3_4,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
cnf(not_p9_10,negated_conjecture,
~ p9(f4(c12),f8(c13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p9_10) ).
cnf(c_0_11,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_17 ).
cnf(c_0_12,negated_conjecture,
p3(f4(f5(X1)),X1),
p3_9 ).
cnf(c_0_13,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_18 ).
cnf(c_0_14,negated_conjecture,
p2(X1,X1),
p2_5 ).
cnf(c_0_15,negated_conjecture,
( p3(X1,X2)
| ~ p3(f4(f5(X2)),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
p3_13 ).
cnf(c_0_17,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
p2(c12,f5(c15)),
p2_8 ).
cnf(c_0_19,negated_conjecture,
( p9(X1,X2)
| ~ p7(X3,X2)
| ~ p9(X4,X3)
| ~ p3(X4,X1) ),
p9_19 ).
cnf(c_0_20,negated_conjecture,
p9(c15,f8(c13)),
p9_7 ).
cnf(c_0_21,negated_conjecture,
p3(X1,X1),
p3_4 ).
cnf(c_0_22,negated_conjecture,
( p3(f4(X1),X2)
| ~ p2(f5(X2),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
p2(f5(c15),c12),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( p9(X1,X2)
| ~ p3(c15,X1)
| ~ p7(f8(c13),X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
p7(X1,X1),
p7_2 ).
cnf(c_0_26,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_21]) ).
cnf(c_0_27,negated_conjecture,
p3(f4(c12),c15),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
~ p9(f4(c12),f8(c13)),
not_p9_10 ).
cnf(c_0_29,negated_conjecture,
( p9(X1,f8(c13))
| ~ p3(c15,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
p3(c15,f4(c12)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN570-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n005.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 08:39:00 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.25/1.72 % Version : CSE_E---1.7
% 1.25/1.72 % Problem : theBenchmark.p
% 1.25/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.72 % SZS output start CNFRefutation
% See solution above
% 1.25/1.72 % Total time : 1.369s
%------------------------------------------------------------------------------