%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO027-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 01:19:36 PM UTC 2026
% Result : Unsatisfiable 1.13s 6.20s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 34 ( 16 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 31 ( 15 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
fof(f31,axiom,
! [X2,X3,X0,X1,X4] :
( between(X1,X2,X0)
| X0 != extension(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b0) ).
fof(f32,plain,
! [X2,X3,X0,X1,X4] :
( between(X1,X2,X0)
| extension(X1,X2,X3,X4) != X0 ),
inference(reorient_equations,[],[f31]) ).
fof(f43,axiom,
! [X2,X3,X0,X1] :
( X2 = X3
| X0 = X1
| ~ equidistant(X1,X2,X1,X3)
| ~ between(X0,X1,X3)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9) ).
fof(f44,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f45,axiom,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
fof(f46,negated_conjecture,
w != extension(u,v,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_is_an_extension) ).
fof(f52,plain,
! [X2,X3,X1,X4] : between(X1,X2,extension(X1,X2,X3,X4)),
inference(equality_resolution,[],[f32]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[],[f5]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f52]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ~ between(X3,X0,X2)
| ~ between(X3,X0,X1)
| ~ equidistant(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_127,plain,
between(u,v,w),
inference(cnf_transformation,[],[f44]) ).
tcf(c_128,plain,
u != v,
inference(cnf_transformation,[],[f45]) ).
tcf(c_129,negated_conjecture,
extension(u,v,v,w) != w,
inference(cnf_transformation,[],[f46]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( extension(X2,X1,X1,X3) = X3 )
| ~ between(X0,X1,X3)
| ~ between(X0,X1,extension(X2,X1,X1,X3)) ),
inference(superposition,[status(thm)],[c_94,c_126]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( extension(X0,X1,X1,X2) = X2 )
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_118,c_184]) ).
tcf(c_323,plain,
( ( u = v )
| ( extension(u,v,v,w) = w ) ),
inference(superposition,[status(thm)],[c_127,c_243]) ).
tcf(c_328,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_323,c_129,c_128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO027-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.37 % Computer : n011.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Wed Sep 23 10:27:48 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.42 Running first-order theorem proving
% 0.16/5.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.43
% 0.16/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.43
% 0.16/5.43 % Detected problem language: tptp
% 0.16/5.44 % Proving...
% 1.13/6.20 % SZS status Started for theBenchmark.p
% 1.13/6.20 % SZS status Unsatisfiable for theBenchmark.p
% 1.13/6.20
% 1.13/6.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.13/6.20
% 1.13/6.20 % ------ iProver source info
% 1.13/6.20
% 1.13/6.20 % git: date: 2026-07-19 20:42:38 +0200
% 1.13/6.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.13/6.20 % git: non_committed_changes: false
% 1.13/6.20
% 1.13/6.20 % ------ Parsing...% successful
% 1.13/6.20
% 1.13/6.20
% 1.13/6.20 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.13/6.20 % ------ Proving...
% 1.13/6.20 % ------ Problem Properties
% 1.13/6.20
% 1.13/6.20 %
% 1.13/6.20 % clauses 40
% 1.13/6.20 % conjectures 1
% 1.13/6.20 % EPR 23
% 1.13/6.20 % Horn 34
% 1.13/6.20 % unary 17
% 1.13/6.20 % binary 10
% 1.13/6.20 % lits 96
% 1.13/6.20 % lits eq 16
% 1.13/6.20 % fd_pure 0
% 1.13/6.20 % fd_pseudo 0
% 1.13/6.20 % fd_cond 0
% 1.13/6.20 % fd_pseudo_cond 9
% 1.13/6.20 % AC symbols 0
% 1.13/6.20
% 1.13/6.20 % ------ Input Options Time Limit: Unbounded
% 1.13/6.20
% 1.13/6.20
% 1.13/6.20 % ------
% 1.13/6.20 % Current options:
% 1.13/6.20 % ------
% 1.13/6.20
% 1.13/6.20
% 1.13/6.20 %
% 1.13/6.20
% 1.13/6.20 % ------ Proving...
% 1.13/6.20 %
% 1.13/6.20
% 1.13/6.20 % SZS status Unsatisfiable for theBenchmark.p
% 1.13/6.20
% 1.13/6.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.13/6.20
% 1.13/6.20
%------------------------------------------------------------------------------