%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO034-3 : 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 04:19:05 PM UTC 2026
% Result : Unsatisfiable 98.18s 56.46s
% Output : CNFRefutation 98.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 13 unt; 0 nHn; 20 RR)
% Number of literals : 48 ( 4 equ; 28 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(d2,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
cnf(w_to_v_equals_w_to_x,hypothesis,
equidistant(w,v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_to_v_equals_w_to_x) ).
cnf(d14,axiom,
( equidistant(X2,X7,X4,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X5,X7,X6,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14) ).
cnf(d1,axiom,
equidistant(X1,X2,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).
cnf(u_to_v_equals_u_to_x,hypothesis,
equidistant(u,v,u,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_u_to_x) ).
cnf(identity_for_equidistance,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(prove_v_is_x,negated_conjecture,
v != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_is_x) ).
cnf(c_0_8,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d2 ).
cnf(c_0_9,hypothesis,
equidistant(w,v,w,x),
w_to_v_equals_w_to_x ).
cnf(c_0_10,axiom,
( equidistant(X2,X7,X4,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X5,X7,X6,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
d14 ).
cnf(c_0_11,hypothesis,
equidistant(w,x,w,v),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,hypothesis,
( equidistant(X1,x,X2,v)
| ~ between(X3,X2,w)
| ~ between(X4,X1,w)
| ~ equidistant(X1,w,X2,w)
| ~ equidistant(X4,x,X3,v)
| ~ equidistant(X4,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,axiom,
equidistant(X1,X2,X1,X2),
d1 ).
cnf(c_0_14,hypothesis,
equidistant(u,v,u,x),
u_to_v_equals_u_to_x ).
cnf(c_0_15,hypothesis,
( equidistant(X1,x,X1,v)
| ~ between(X2,X1,w)
| ~ between(X3,X1,w)
| ~ equidistant(X3,x,X2,v)
| ~ equidistant(X3,X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,hypothesis,
equidistant(u,x,u,v),
inference(spm,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_17,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
identity_for_equidistance ).
cnf(c_0_18,hypothesis,
( equidistant(X1,x,X1,v)
| ~ between(u,X1,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_13])]) ).
cnf(c_0_19,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_20,negated_conjecture,
v != x,
prove_v_is_x ).
cnf(c_0_21,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO034-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% 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
% 0.14/0.32 % Computer : n031.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 17:39:08 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 98.18/56.46 % Version : CSE_E---1.7
% 98.18/56.46 % Problem : theBenchmark.p
% 98.18/56.46 % SZS status Unsatisfiable for theBenchmark.p
% 98.18/56.46 % SZS output start CNFRefutation
% See solution above
% 98.58/56.81 % Total time : 43.699s
%------------------------------------------------------------------------------