%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO041-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 01:16:42 PM UTC 2026
% Result : Unsatisfiable 3.98s 1.07s
% Output : Proof 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 35 unt; 0 def)
% Number of atoms : 55 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 30 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 30 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f45,axiom,
( between(W,V,U)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox/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(hi42,axiom,
ifeq(between(X0,X1,X2),true,between(X2,X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c45]) ).
cnf(f49,hypothesis,
between(u,w,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_u_and_v) ).
fof(f49_nnf,plain,
between(u,w,v),
inference(nnf_transformation,[status(thm)],[f49]) ).
cnf(c49,plain,
between(u,w,v),
inference(cnf_transformation,[status(esa)],[f49_nnf]) ).
cnf(hi46,axiom,
between(u,w,v) = true,
inference(equality_encoding,[status(esa)],[c49]) ).
cnf(h86,plain,
between(v,w,u) = true,
inference(hyper_resolution,[status(thm)],[hi42,hi46]) ).
cnf(f48,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f48_nnf,plain,
between(u,v,w),
inference(nnf_transformation,[status(thm)],[f48]) ).
cnf(c48,plain,
between(u,v,w),
inference(cnf_transformation,[status(esa)],[f48_nnf]) ).
cnf(hi45,axiom,
between(u,v,w) = true,
inference(equality_encoding,[status(esa)],[c48]) ).
cnf(h56,plain,
between(w,v,u) = true,
inference(hyper_resolution,[status(thm)],[hi42,hi45]) ).
cnf(f47,axiom,
( U = V
| ~ between(V,U,W)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b2) ).
fof(f47_nnf,plain,
! [U,V,W] :
( U = V
| ~ between(V,U,W)
| ~ between(U,V,W) ),
inference(nnf_transformation,[status(thm)],[f47]) ).
fof(f47_sk,plain,
! [U,V,W] :
( U = V
| ~ between(V,U,W)
| ~ between(U,V,W) ),
inference(skolemisation,[status(esa)],[f47_nnf]) ).
cnf(c47,plain,
( X0 = X1
| ~ between(X1,X0,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f47_sk]) ).
cnf(hi44,axiom,
ifeq(between(X0,X1,X2),true,ifeq(between(X1,X0,X2),true,X0,X1),X1) = X1,
inference(equality_encoding,[status(esa)],[c47]) ).
cnf(h163,plain,
w = v,
inference(hyper_resolution,[status(thm)],[hi44,h56,h86]) ).
cnf(f50,negated_conjecture,
v != w,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_is_w) ).
fof(f50_nnf,plain,
v != w,
inference(nnf_transformation,[status(thm)],[f50]) ).
fof(f50_sk,plain,
v != w,
inference(skolemisation,[status(esa)],[f50_nnf]) ).
cnf(c50,plain,
v != w,
inference(cnf_transformation,[status(esa)],[f50_sk]) ).
cnf(hi50,negated_conjecture,
ifeq(v,w,false,true) = true,
inference(equality_encoding,[status(esa)],[c50]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi50,h163]) ).
cnf(t2530,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f9,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension1) ).
fof(f9_nnf,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(f10,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension2) ).
fof(f10_nnf,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(f11,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension3) ).
fof(f11_nnf,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c9,c10,c11,c50]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t2530]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO041-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 10:34:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.98/1.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.98/1.07 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------