%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO008-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% 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 : n031.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 04:18:58 PM UTC 2026
% Result : Unsatisfiable 1.40s 1.78s
% Output : CNFRefutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 34 ( 15 unt; 8 nHn; 32 RR)
% Number of literals : 62 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 40 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
cnf(d_between_a_and_e,hypothesis,
between(a,d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_between_a_and_e) ).
cnf(c_between_a_and_e,hypothesis,
between(a,c,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_between_a_and_e) ).
cnf(b14,axiom,
( between(X2,X4,X3)
| between(X4,X2,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b14) ).
cnf(b8,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b8) ).
cnf(t2,axiom,
between(X1,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).
cnf(b_between_c_and_d,hypothesis,
between(c,b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_between_c_and_d) ).
cnf(b9,axiom,
( between(X1,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b9) ).
cnf(prove_betweenness,negated_conjecture,
~ between(a,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_betweenness) ).
cnf(c_0_9,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
t1 ).
cnf(c_0_10,hypothesis,
between(a,d,e),
d_between_a_and_e ).
cnf(c_0_11,hypothesis,
between(a,c,e),
c_between_a_and_e ).
cnf(c_0_12,axiom,
( between(X2,X4,X3)
| between(X4,X2,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X4,X3) ),
b14 ).
cnf(c_0_13,hypothesis,
between(e,d,a),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X3) ),
b8 ).
cnf(c_0_15,hypothesis,
between(e,c,a),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_16,hypothesis,
( between(X1,d,a)
| between(d,X1,a)
| ~ between(e,X1,a) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,hypothesis,
( between(X1,c,a)
| ~ between(X1,e,a) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,axiom,
between(X1,X1,X2),
t2 ).
cnf(c_0_19,hypothesis,
between(c,b,d),
b_between_c_and_d ).
cnf(c_0_20,hypothesis,
( between(d,c,a)
| between(c,d,a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_21,hypothesis,
between(d,b,c),
inference(spm,[status(thm)],[c_0_9,c_0_19]) ).
cnf(c_0_22,hypothesis,
( between(c,d,a)
| between(a,c,d) ),
inference(spm,[status(thm)],[c_0_9,c_0_20]) ).
cnf(c_0_23,hypothesis,
( between(X1,b,c)
| ~ between(X1,d,c) ),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_24,hypothesis,
( between(a,c,d)
| between(a,d,c) ),
inference(spm,[status(thm)],[c_0_9,c_0_22]) ).
cnf(c_0_25,axiom,
( between(X1,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
b9 ).
cnf(c_0_26,hypothesis,
( between(X1,b,d)
| ~ between(X1,c,d) ),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_27,hypothesis,
( between(a,c,d)
| between(a,b,c) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,hypothesis,
( between(a,X1,e)
| ~ between(a,X1,d) ),
inference(spm,[status(thm)],[c_0_25,c_0_10]) ).
cnf(c_0_29,hypothesis,
( between(a,b,c)
| between(a,b,d) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
~ between(a,b,e),
prove_betweenness ).
cnf(c_0_31,hypothesis,
( between(a,X1,e)
| ~ between(a,X1,c) ),
inference(spm,[status(thm)],[c_0_25,c_0_11]) ).
cnf(c_0_32,hypothesis,
between(a,b,c),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_33,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO008-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n031.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 18:02:08 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.40/1.78 % Version : CSE_E---1.7
% 1.40/1.78 % Problem : theBenchmark.p
% 1.40/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 1.40/1.78 % SZS output start CNFRefutation
% See solution above
% 1.40/1.78 % Total time : 1.371s
%------------------------------------------------------------------------------