%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN005-1.010 : TPTP v9.2.1. Released v1.0.0.
% 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 : n013.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 05:35:07 PM UTC 2026
% Result : Unsatisfiable 0.25s 1.61s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of clauses : 23 ( 21 unt; 0 nHn; 23 RR)
% Number of literals : 41 ( 0 equ; 20 neg)
% Maximal clause size : 10 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(disjunction,negated_conjecture,
( ~ p_1(X1,X2)
| ~ p_2(X2,X3)
| ~ p_3(X3,X4)
| ~ p_4(X4,X5)
| ~ p_5(X5,X6)
| ~ p_6(X6,X7)
| ~ p_7(X7,X8)
| ~ p_8(X8,X9)
| ~ p_9(X9,X10)
| ~ p_10(X10,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjunction) ).
cnf(p_10,negated_conjecture,
p_10(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_10) ).
cnf(p_9,negated_conjecture,
p_9(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_9) ).
cnf(p_8,negated_conjecture,
p_8(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_8) ).
cnf(p_7,negated_conjecture,
p_7(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_7) ).
cnf(p_6,negated_conjecture,
p_6(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_6) ).
cnf(p_5,negated_conjecture,
p_5(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_5) ).
cnf(p_4,negated_conjecture,
p_4(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_4) ).
cnf(p_3,negated_conjecture,
p_3(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_3) ).
cnf(p_2,negated_conjecture,
p_2(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_2) ).
cnf(p_1,negated_conjecture,
p_1(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_1) ).
cnf(i_0_11,negated_conjecture,
( ~ p_1(X1,X2)
| ~ p_2(X2,X3)
| ~ p_3(X3,X4)
| ~ p_4(X4,X5)
| ~ p_5(X5,X6)
| ~ p_6(X6,X7)
| ~ p_7(X7,X8)
| ~ p_8(X8,X9)
| ~ p_9(X9,X10)
| ~ p_10(X10,X1) ),
disjunction,
[final] ).
cnf(i_0_12,negated_conjecture,
p_10(a,a),
p_10,
[final] ).
cnf(i_0_13,negated_conjecture,
p_9(a,a),
p_9,
[final] ).
cnf(i_0_14,negated_conjecture,
p_8(a,a),
p_8,
[final] ).
cnf(i_0_15,negated_conjecture,
p_7(a,a),
p_7,
[final] ).
cnf(i_0_16,negated_conjecture,
p_6(a,a),
p_6,
[final] ).
cnf(i_0_17,negated_conjecture,
p_5(a,a),
p_5,
[final] ).
cnf(i_0_18,negated_conjecture,
p_4(a,a),
p_4,
[final] ).
cnf(i_0_19,negated_conjecture,
p_3(a,a),
p_3,
[final] ).
cnf(i_0_20,negated_conjecture,
p_2(a,a),
p_2,
[final] ).
cnf(i_0_21,negated_conjecture,
p_1(a,a),
p_1,
[final] ).
cnf(i_0_22,plain,
$false,
inference(scs_inference,[],[i_0_21,i_0_20,i_0_19,i_0_18,i_0_17,i_0_16,i_0_15,i_0_14,i_0_13,i_0_12,i_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN005-1.010 : TPTP v9.2.1. Released v1.0.0.
% 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
% 0.16/0.32 % Computer : n013.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 08:03:41 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 0.25/1.61 % Version : CSE_E---1.7
% 0.25/1.61 % Problem : theBenchmark.p
% 0.25/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.25/1.61 % SZS output start CNFRefutation
% See solution above
% 0.25/1.62 % Total time : 1.269s
%------------------------------------------------------------------------------