%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO026-3 : 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 4.36s 1.28s
% Output : CNFRefutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 16 unt; 0 def)
% Number of atoms : 77 ( 13 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 92 ( 45 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 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; 4 con; 0-0 aty)
% Number of variables : 61 ( 0 sgn 61 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( X0 = X1
| ~ equidistant(X0,X1,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X4,X6,X5,X7)
| X0 = X1
| ~ between(X2,X3,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X1,X6,X3,X7)
| ~ equidistant(X0,X6,X2,X7)
| ~ equidistant(X1,X4,X3,X5)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
fof(f20,axiom,
! [X0,X1] : equidistant(X0,X1,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
fof(f24,axiom,
! [X2,X3,X0,X1] :
( equidistant(X1,X0,X3,X2)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_2) ).
fof(f42,axiom,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,X4,X2,X5)
| ~ between(X2,X3,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X1,X4,X3,X5)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8) ).
fof(f43,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f44,axiom,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).
fof(f45,axiom,
equidistant(v,w,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v_to_x) ).
fof(f46,axiom,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
fof(f47,negated_conjecture,
w != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_is_x) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ equidistant(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( equidistant(X1,X4,X3,X5)
| ( X0 = X6 )
| ~ between(X7,X2,X3)
| ~ between(X6,X0,X1)
| ~ equidistant(X6,X4,X7,X5)
| ~ equidistant(X6,X0,X7,X2)
| ~ equidistant(X0,X4,X2,X5)
| ~ equidistant(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] : equidistant(X0,X1,X0,X1),
inference(cnf_transformation,[],[f20]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equidistant(X1,X0,X3,X2)
| ~ equidistant(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( equidistant(X4,X1,X5,X3)
| ~ between(X5,X2,X3)
| ~ between(X4,X0,X1)
| ~ equidistant(X4,X0,X5,X2)
| ~ equidistant(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_127,plain,
between(u,v,w),
inference(cnf_transformation,[],[f43]) ).
tcf(c_128,plain,
between(u,v,x),
inference(cnf_transformation,[],[f44]) ).
tcf(c_129,plain,
equidistant(v,w,v,x),
inference(cnf_transformation,[],[f45]) ).
tcf(c_130,plain,
u != v,
inference(cnf_transformation,[],[f46]) ).
tcf(c_131,negated_conjecture,
w != x,
inference(cnf_transformation,[],[f47]) ).
tcf(c_468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equidistant(w,X1,x,X3)
| ( X0 = v )
| ~ between(X2,v,x)
| ~ between(X0,v,w)
| ~ equidistant(v,X1,v,X3)
| ~ equidistant(X0,v,X2,v)
| ~ equidistant(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_129,c_96]) ).
tcf(c_551,plain,
equidistant(w,v,x,v),
inference(superposition,[status(thm)],[c_129,c_113]) ).
tcf(c_678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equidistant(X0,X3,X2,X3)
| ~ between(X2,X1,X3)
| ~ between(X0,X1,X3)
| ~ equidistant(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_109,c_126]) ).
tcf(c_862,plain,
! [X0: $i,X1: $i] :
( equidistant(w,X1,x,X1)
| ( X0 = v )
| ~ between(X0,v,x)
| ~ between(X0,v,w)
| ~ equidistant(v,X1,v,X1)
| ~ equidistant(X0,v,X0,v) ),
inference(superposition,[status(thm)],[c_109,c_468]) ).
tcf(c_1224,plain,
! [X0: $i] :
( equidistant(w,X0,x,X0)
| ~ between(x,v,X0)
| ~ between(w,v,X0) ),
inference(superposition,[status(thm)],[c_551,c_678]) ).
tcf(c_2030,plain,
! [X0: $i,X1: $i] :
( equidistant(w,X1,x,X1)
| ( X0 = v )
| ~ between(X0,v,x)
| ~ between(X0,v,w) ),
inference(forward_subsumption_resolution,[status(thm)],[c_862,c_109,c_109]) ).
tcf(c_2039,plain,
! [X0: $i] :
( equidistant(w,X0,x,X0)
| ( u = v )
| ~ between(u,v,w) ),
inference(superposition,[status(thm)],[c_128,c_2030]) ).
tcf(c_3183,plain,
! [X0: $i] : equidistant(w,X0,x,X0),
inference(global_subsumption_just,[status(thm)],[c_1224,c_127,c_130,c_2039]) ).
tcf(c_3206,plain,
w = x,
inference(superposition,[status(thm)],[c_3183,c_93]) ).
tcf(c_3214,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_131,c_3206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO026-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n011.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 10:27:26 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 4.36/1.28 % SZS status Started for theBenchmark.p
% 4.36/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.36/1.28
% 4.36/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.36/1.28
% 4.36/1.28 % ------ iProver source info
% 4.36/1.28
% 4.36/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 4.36/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.36/1.28 % git: non_committed_changes: false
% 4.36/1.28
% 4.36/1.28 % ------ Parsing...% successful
% 4.36/1.28
% 4.36/1.28
% 4.36/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.36/1.28 % ------ Proving...
% 4.36/1.28 % ------ Problem Properties
% 4.36/1.28
% 4.36/1.28 %
% 4.36/1.28 % clauses 41
% 4.36/1.28 % conjectures 1
% 4.36/1.28 % EPR 25
% 4.36/1.28 % Horn 36
% 4.36/1.28 % unary 19
% 4.36/1.28 % binary 10
% 4.36/1.28 % lits 93
% 4.36/1.28 % lits eq 14
% 4.36/1.28 % fd_pure 0
% 4.36/1.28 % fd_pseudo 0
% 4.36/1.28 % fd_cond 0
% 4.36/1.28 % fd_pseudo_cond 8
% 4.36/1.28 % AC symbols 0
% 4.36/1.28
% 4.36/1.28 % ------ Input Options Time Limit: Unbounded
% 4.36/1.28
% 4.36/1.28
% 4.36/1.28 % ------
% 4.36/1.28 % Current options:
% 4.36/1.28 % ------
% 4.36/1.28
% 4.36/1.28
% 4.36/1.28 %
% 4.36/1.28
% 4.36/1.28 % ------ Proving...
% 4.36/1.28 %
% 4.36/1.28
% 4.36/1.28 % ------ Proving...
% 4.36/1.28 %
% 4.36/1.28
% 4.36/1.28 % ------ Proving...
% 4.36/1.28 %
% 4.36/1.28
% 4.36/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.36/1.28
% 4.36/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.36/1.28
% 4.36/1.28
%------------------------------------------------------------------------------