%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO009-3 : 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 : n022.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 2.07s 1.96s
% Output : CNFRefutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 39 ( 23 unt; 12 nHn; 23 RR)
% Number of literals : 74 ( 21 equ; 21 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 77 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b6,axiom,
( between(X1,X3,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b6) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(t1,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
cnf(d_between_a_and_e,hypothesis,
between(a,d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_between_a_and_e) ).
cnf(b5,axiom,
( between(X2,X3,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).
cnf(c_between_a_and_e,hypothesis,
between(a,c,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_between_a_and_e) ).
cnf(t7,axiom,
( X2 = X3
| between(X1,X4,X2)
| between(X4,X1,X2)
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7) ).
cnf(r6,axiom,
X1 = reflection(reflection(X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r6) ).
cnf(reflection,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).
cnf(e1,axiom,
X1 = extension(X2,X1,X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e1) ).
cnf(c_not_between_a_and_d,hypothesis,
~ between(a,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_between_a_and_d) ).
cnf(prove_d_between_a_and_c,negated_conjecture,
~ between(a,d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d_between_a_and_c) ).
cnf(t2,axiom,
between(X1,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2) ).
cnf(c_0_13,axiom,
( between(X1,X3,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
b6 ).
cnf(c_0_14,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_15,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
t1 ).
cnf(c_0_16,hypothesis,
between(a,d,e),
d_between_a_and_e ).
cnf(c_0_17,plain,
( X1 = X2
| between(X3,X2,extension(X1,X2,X4,X5))
| ~ between(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,hypothesis,
between(e,d,a),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,axiom,
( between(X2,X3,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
b5 ).
cnf(c_0_20,hypothesis,
( d = a
| between(e,a,extension(d,a,X1,X2)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,hypothesis,
between(a,c,e),
c_between_a_and_e ).
cnf(c_0_22,axiom,
( X2 = X3
| between(X1,X4,X2)
| between(X4,X1,X2)
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X3) ),
t7 ).
cnf(c_0_23,hypothesis,
( d = a
| between(X1,a,extension(d,a,X2,X3))
| ~ between(e,X1,a) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,hypothesis,
between(e,c,a),
inference(spm,[status(thm)],[c_0_15,c_0_21]) ).
cnf(c_0_25,axiom,
X1 = reflection(reflection(X1,X2),X2),
r6 ).
cnf(c_0_26,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
reflection ).
cnf(c_0_27,plain,
( extension(X1,X2,X3,X4) = X2
| between(X5,X1,X2)
| between(X1,X5,X2)
| ~ between(X5,X2,extension(X1,X2,X3,X4)) ),
inference(spm,[status(thm)],[c_0_22,c_0_14]) ).
cnf(c_0_28,hypothesis,
( d = a
| between(c,a,extension(d,a,X1,X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
X1 = extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_26]) ).
cnf(c_0_30,hypothesis,
( extension(d,a,X1,X2) = a
| d = a
| between(d,c,a)
| between(c,d,a) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,axiom,
X1 = extension(X2,X1,X3,X3),
e1 ).
cnf(c_0_32,hypothesis,
( d = a
| between(c,d,a)
| between(d,c,a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_33,hypothesis,
~ between(a,c,d),
c_not_between_a_and_d ).
cnf(c_0_34,hypothesis,
( d = a
| between(c,d,a) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_32]),c_0_33]) ).
cnf(c_0_35,negated_conjecture,
~ between(a,d,c),
prove_d_between_a_and_c ).
cnf(c_0_36,hypothesis,
d = a,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_34]),c_0_35]) ).
cnf(c_0_37,axiom,
between(X1,X1,X2),
t2 ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO009-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n022.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 : Mon May 4 17:36:06 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 2.07/1.96 % Version : CSE_E---1.7
% 2.07/1.96 % Problem : theBenchmark.p
% 2.07/1.96 % SZS status Unsatisfiable for theBenchmark.p
% 2.07/1.96 % SZS output start CNFRefutation
% See solution above
% 2.07/1.97 % Total time : 1.372s
%------------------------------------------------------------------------------