%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO032-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.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 01:19:37 PM UTC 2026
% Result : Unsatisfiable 1.24s 1.40s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 15 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 60 ( 31 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 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 : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
! [X0,X1] : equidistant(X0,X0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7) ).
fof(f74,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X1,X6,X3,X7)
| ~ between(X2,X3,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X4,X6,X5,X7)
| ~ equidistant(X0,X6,X2,X7)
| ~ equidistant(X0,X4,X2,X5)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12) ).
fof(f75,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f76,axiom,
between(u1,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).
fof(f77,axiom,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).
fof(f78,axiom,
equidistant(u,w,u1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_w_equals_u1_to_w1) ).
fof(f79,negated_conjecture,
~ equidistant(v,w,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).
tcf(c_120,plain,
between(u,v,w),
inference(cnf_transformation,[],[f75]) ).
tcf(c_121,plain,
between(u1,v1,w1),
inference(cnf_transformation,[],[f76]) ).
tcf(c_122,plain,
equidistant(u,v,u1,v1),
inference(cnf_transformation,[],[f77]) ).
tcf(c_123,plain,
equidistant(u,w,u1,w1),
inference(cnf_transformation,[],[f78]) ).
tcf(c_124,negated_conjecture,
~ equidistant(v,w,v1,w1),
inference(cnf_transformation,[],[f79]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( equidistant(X1,X6,X3,X7)
| ~ between(X2,X3,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X4,X6,X5,X7)
| ~ equidistant(X0,X6,X2,X7)
| ~ equidistant(X0,X4,X2,X5)
| ~ equidistant(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] : equidistant(X0,X0,X1,X1),
inference(cnf_transformation,[],[f41]) ).
tcf(c_1270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equidistant(v,w,v1,w1)
| ~ between(X2,v1,X3)
| ~ between(X0,v,X1)
| ~ equidistant(X1,w,X3,w1)
| ~ equidistant(X0,w,X2,w1)
| ~ equidistant(X0,v,X2,v1)
| ~ equidistant(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_1418,plain,
! [X0: $i,X1: $i] :
( equidistant(v,w,v1,w1)
| ~ between(u1,v1,w1)
| ~ between(X0,v,X1)
| ~ equidistant(X1,w,w1,w1)
| ~ equidistant(X0,w,u1,w1)
| ~ equidistant(X0,v,u1,v1)
| ~ equidistant(X0,X1,u1,w1) ),
inference(instantiation,[status(thm)],[c_1270]) ).
tcf(c_3140,plain,
( equidistant(v,w,v1,w1)
| ~ between(u1,v1,w1)
| ~ between(u,v,w)
| ~ equidistant(w,w,w1,w1)
| ~ equidistant(u,w,u1,w1)
| ~ equidistant(u,v,u1,v1) ),
inference(instantiation,[status(thm)],[c_1418]) ).
tcf(c_4686,plain,
! [X0: $i] : equidistant(X0,X0,w1,w1),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_10904,plain,
equidistant(w,w,w1,w1),
inference(instantiation,[status(thm)],[c_4686]) ).
tcf(c_10907,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10904,c_3140,c_124,c_122,c_123,c_120,c_121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO032-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.58 % Computer : n006.cluster.edu
% 0.08/0.58 % Model : x86_64 x86_64
% 0.08/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.58 % Memory : 8046.5625MB
% 0.08/0.58 % OS : Linux 6.8.0-71-generic
% 0.08/0.58 % CPULimit : 300
% 0.08/0.58 % WCLimit : 300
% 0.08/0.58 % DateTime : Wed Sep 23 10:29:16 UTC 2026
% 0.08/0.58 % CPUTime :
% 0.08/0.58 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.61 Running first-order theorem proving
% 0.08/0.61 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.62
% 0.08/0.62 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.62
% 0.08/0.62 % Detected problem language: tptp
% 0.13/0.64 % Proving...
% 1.24/1.40 % SZS status Started for theBenchmark.p
% 1.24/1.40 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.40
% 1.24/1.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.24/1.40
% 1.24/1.40 % ------ iProver source info
% 1.24/1.40
% 1.24/1.40 % git: date: 2026-07-19 20:42:38 +0200
% 1.24/1.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.24/1.40 % git: non_committed_changes: false
% 1.24/1.40
% 1.24/1.40 % ------ Parsing...% successful
% 1.24/1.40
% 1.24/1.40
% 1.24/1.40 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_eq
% 1.24/1.40 %
% 1.24/1.40
% 1.24/1.40 % ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.24/1.40
% 1.24/1.40 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_eq
% 1.24/1.40 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e % ------ preprocesses with Option_epr_non_horn_eq
% 1.24/1.40 %
% 1.24/1.40
% 1.24/1.40 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.24/1.40 % ------ Proving...
% 1.24/1.40 % ------ Problem Properties
% 1.24/1.40
% 1.24/1.40 %
% 1.24/1.40 % clauses 36
% 1.24/1.40 % conjectures 1
% 1.24/1.40 % EPR 36
% 1.24/1.40 % Horn 30
% 1.24/1.40 % unary 10
% 1.24/1.40 % binary 11
% 1.24/1.40 % lits 98
% 1.24/1.40 % lits eq 12
% 1.24/1.40 % fd_pure 0
% 1.24/1.40 % fd_pseudo 0
% 1.24/1.40 % fd_cond 0
% 1.24/1.40 % fd_pseudo_cond 10
% 1.24/1.40 % AC symbols 0
% 1.24/1.40
% 1.24/1.40 % ------ Schedule EPR non Horn eq is on
% 1.24/1.40
% 1.24/1.40 % ------ Option_epr_non_horn_eq Time Limit: Unbounded
% 1.24/1.40
% 1.24/1.40
% 1.24/1.40 % ------
% 1.24/1.40 % Current options:
% 1.24/1.40 % ------
% 1.24/1.40
% 1.24/1.40
% 1.24/1.40 %
% 1.24/1.40
% 1.24/1.40 % ------ Proving...
% 1.24/1.40 %
% 1.24/1.40
% 1.24/1.40 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.40
% 1.24/1.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.24/1.40
% 1.24/1.40
%------------------------------------------------------------------------------