%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO001-3 : 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 : n006.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 04:18:55 PM UTC 2026
% Result : Unsatisfiable 1.16s 1.88s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 30 ( 3 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-5 aty)
% Number of variables : 34 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(inner_pasch2,axiom,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
cnf(b_between_a_and_c,hypothesis,
between(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_between_a_and_c) ).
cnf(inner_pasch1,axiom,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
cnf(t3,axiom,
between(X1,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
cnf(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(prove_b_between_c_and_a,negated_conjecture,
~ between(c,b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_between_c_and_a) ).
cnf(c_0_6,axiom,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inner_pasch2 ).
cnf(c_0_7,hypothesis,
between(a,b,c),
b_between_a_and_c ).
cnf(c_0_8,axiom,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inner_pasch1 ).
cnf(c_0_9,hypothesis,
( between(b,inner_pasch(X1,X2,c,b,a),X1)
| ~ between(X1,X2,c) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,axiom,
between(X1,X2,X2),
t3 ).
cnf(c_0_11,hypothesis,
( between(X1,inner_pasch(X2,X1,c,b,a),a)
| ~ between(X2,X1,c) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_12,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
identity_for_betweeness ).
cnf(c_0_13,hypothesis,
between(b,inner_pasch(X1,c,c,b,a),X1),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,hypothesis,
between(c,inner_pasch(X1,c,c,b,a),a),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_15,hypothesis,
inner_pasch(b,c,c,b,a) = b,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
~ between(c,b,a),
prove_b_between_c_and_a ).
cnf(c_0_17,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.23 % Problem : GEO001-3 : TPTP v9.2.1. Released v1.0.0.
% 0.02/0.23 % 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
% 0.13/0.47 % Computer : n006.cluster.edu
% 0.13/0.47 % Model : x86_64 x86_64
% 0.13/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.47 % Memory : 8042.1875MB
% 0.13/0.47 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.47 % CPULimit : 300
% 0.13/0.47 % WCLimit : 300
% 0.13/0.47 % DateTime : Mon May 4 17:35:16 EDT 2026
% 0.13/0.47 % CPUTime :
% 0.13/0.48 % start to proof: theBenchmark
% 1.16/1.88 % Version : CSE_E---1.7
% 1.16/1.88 % Problem : theBenchmark.p
% 1.16/1.88 % SZS status Unsatisfiable for theBenchmark.p
% 1.16/1.88 % SZS output start CNFRefutation
% See solution above
% 1.16/1.88 % Total time : 1.392s
%------------------------------------------------------------------------------