%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO045-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:16:45 PM UTC 2026
% Result : Unsatisfiable 203.08s 35.51s
% Output : Proof 203.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 19 unt; 0 def)
% Number of atoms : 50 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 22 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 29 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f53,axiom,
( V = W
| between(U,W,X)
| ~ between(V,W,X)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b6) ).
fof(f53_nnf,plain,
! [U,V,W,X] :
( V = W
| between(U,W,X)
| ~ between(V,W,X)
| ~ between(U,V,W) ),
inference(nnf_transformation,[status(thm)],[f53]) ).
fof(f53_sk,plain,
! [U,V,W,X] :
( V = W
| between(U,W,X)
| ~ between(V,W,X)
| ~ between(U,V,W) ),
inference(skolemisation,[status(esa)],[f53_nnf]) ).
cnf(c53,plain,
( X1 = X2
| between(X0,X2,X3)
| ~ between(X1,X2,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f53_sk]) ).
cnf(f45,axiom,
( between(W,V,U)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f45_nnf,plain,
! [U,V,W] :
( between(W,V,U)
| ~ between(U,V,W) ),
inference(nnf_transformation,[status(thm)],[f45]) ).
fof(f45_sk,plain,
! [U,V,W] :
( between(W,V,U)
| ~ between(U,V,W) ),
inference(skolemisation,[status(esa)],[f45_nnf]) ).
cnf(c45,plain,
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f45_sk]) ).
cnf(f55,hypothesis,
between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_v_and_x) ).
fof(f55_nnf,plain,
between(v,w,x),
inference(nnf_transformation,[status(thm)],[f55]) ).
cnf(c55,plain,
between(v,w,x),
inference(cnf_transformation,[status(esa)],[f55_nnf]) ).
cnf(p87,plain,
between(x,w,v),
inference(resolution,[status(thm)],[c45,c55]) ).
cnf(p460,plain,
( w = v
| between(x,v,X0)
| ~ between(w,v,X0) ),
inference(resolution,[status(thm)],[c53,p87]) ).
cnf(f54,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f54_nnf,plain,
between(u,v,w),
inference(nnf_transformation,[status(thm)],[f54]) ).
cnf(c54,plain,
between(u,v,w),
inference(cnf_transformation,[status(esa)],[f54_nnf]) ).
cnf(p86,plain,
between(w,v,u),
inference(resolution,[status(thm)],[c45,c54]) ).
cnf(p23261,plain,
( w = v
| between(x,v,u) ),
inference(resolution,[status(thm)],[p460,p86]) ).
cnf(p23278,plain,
( between(u,v,x)
| w = v ),
inference(resolution,[status(thm)],[p23261,c45]) ).
cnf(f57,negated_conjecture,
~ between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_u_and_x) ).
fof(f57_nnf,plain,
~ between(u,v,x),
inference(nnf_transformation,[status(thm)],[f57]) ).
fof(f57_sk,plain,
~ between(u,v,x),
inference(skolemisation,[status(esa)],[f57_nnf]) ).
cnf(c57,plain,
~ between(u,v,x),
inference(cnf_transformation,[status(esa)],[f57_sk]) ).
cnf(p23325,plain,
w = v,
inference(resolution,[status(thm)],[p23278,c57]) ).
cnf(f56,hypothesis,
v != w,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_not_w) ).
fof(f56_nnf,plain,
v != w,
inference(nnf_transformation,[status(thm)],[f56]) ).
fof(f56_sk,plain,
v != w,
inference(skolemisation,[status(esa)],[f56_nnf]) ).
cnf(c56,plain,
v != w,
inference(cnf_transformation,[status(esa)],[f56_sk]) ).
cnf(p23326,plain,
v != v,
inference(demodulation,[status(thm)],[p23325,c56]) ).
cnf(p23967,plain,
$false,
inference(equality_resolution,[status(thm)],[p23326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO045-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/5.38 % Computer : n009.cluster.edu
% 0.08/5.38 % Model : x86_64 x86_64
% 0.08/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.38 % Memory : 8046.5625MB
% 0.08/5.38 % OS : Linux 6.8.0-71-generic
% 0.08/5.38 % CPULimit : 300
% 0.08/5.38 % WCLimit : 300
% 0.08/5.38 % DateTime : Wed Sep 23 10:33:33 UTC 2026
% 0.08/5.39 % CPUTime :
% 0.08/5.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 203.08/35.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 203.08/35.51 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------