%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO007-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% 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 : n014.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 04:18:57 PM UTC 2026
% Result : Unsatisfiable 1.29s 1.75s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 14 unt; 4 nHn; 20 RR)
% Number of literals : 33 ( 4 equ; 13 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
cnf(a_between_a_and_e,hypothesis,
between(e,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_between_a_and_e) ).
cnf(b13,axiom,
( X1 = X2
| between(X2,X3,X4)
| between(X2,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b13) ).
cnf(a_not_c,hypothesis,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
cnf(a_between_a_and_c,hypothesis,
between(d,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_between_a_and_c) ).
cnf(e_not_between_d_and_a,hypothesis,
~ between(d,e,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_not_between_d_and_a) ).
cnf(prove_d_between_e_and_a,negated_conjecture,
~ between(e,d,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d_between_e_and_a) ).
cnf(c_0_7,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
t1 ).
cnf(c_0_8,hypothesis,
between(e,a,c),
a_between_a_and_e ).
cnf(c_0_9,axiom,
( X1 = X2
| between(X2,X3,X4)
| between(X2,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
b13 ).
cnf(c_0_10,hypothesis,
between(c,a,e),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,hypothesis,
a != c,
a_not_c ).
cnf(c_0_12,hypothesis,
between(d,a,c),
a_between_a_and_c ).
cnf(c_0_13,hypothesis,
( between(a,X1,e)
| between(a,e,X1)
| ~ between(c,a,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_14,hypothesis,
between(c,a,d),
inference(spm,[status(thm)],[c_0_7,c_0_12]) ).
cnf(c_0_15,hypothesis,
( between(a,e,d)
| between(a,d,e) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,hypothesis,
~ between(d,e,a),
e_not_between_d_and_a ).
cnf(c_0_17,hypothesis,
between(a,d,e),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_15]),c_0_16]) ).
cnf(c_0_18,negated_conjecture,
~ between(e,d,a),
prove_d_between_e_and_a ).
cnf(c_0_19,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_17]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO007-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.11/0.13 % 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
% 0.15/0.34 % Computer : n014.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % 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 : Mon May 4 17:36:06 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.36 % start to proof: theBenchmark
% 1.29/1.75 % Version : CSE_E---1.7
% 1.29/1.75 % Problem : theBenchmark.p
% 1.29/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.29/1.75 % SZS output start CNFRefutation
% See solution above
% 1.29/1.75 % Total time : 1.375s
%------------------------------------------------------------------------------