%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO051-3 : 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 : n018.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 01:19:41 PM UTC 2026
% Result : Unsatisfiable 4.10s 1.30s
% Output : CNFRefutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 49 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 54 ( 26 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f61,axiom,
! [X2,X3,X0,X1] :
( between(X1,X2,X3)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b5) ).
fof(f86,axiom,
! [X2,X3,X0,X1] :
( between(X0,X3,X2)
| between(X0,X2,X3)
| X0 = X1
| ~ between(X0,X1,X3)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b12) ).
fof(f87,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f88,axiom,
between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).
fof(f89,axiom,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
fof(f90,axiom,
~ between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_not_between_v_and_x) ).
fof(f91,negated_conjecture,
~ between(v,x,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_x_between_v_and_w) ).
tcf(c_131,plain,
between(u,v,w),
inference(cnf_transformation,[],[f87]) ).
tcf(c_132,plain,
between(u,v,x),
inference(cnf_transformation,[],[f88]) ).
tcf(c_133,plain,
u != v,
inference(cnf_transformation,[],[f89]) ).
tcf(c_134,plain,
~ between(v,w,x),
inference(cnf_transformation,[],[f90]) ).
tcf(c_135,negated_conjecture,
~ between(v,x,w),
inference(cnf_transformation,[],[f91]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X0,X3,X2)
| between(X0,X2,X3)
| ( X0 = X1 )
| ~ between(X0,X1,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X1,X2,X3)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_1461,plain,
! [X0: $i,X1: $i] :
( between(v,X1,x)
| ~ between(X0,v,X1)
| ~ between(X0,X1,x) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_1474,plain,
! [X0: $i,X1: $i] :
( between(v,X1,w)
| ~ between(X0,v,X1)
| ~ between(X0,X1,w) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_1491,plain,
! [X0: $i,X1: $i] :
( between(X0,x,w)
| between(X0,w,x)
| ( X0 = X1 )
| ~ between(X0,X1,x)
| ~ between(X0,X1,w) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_2772,plain,
( between(v,w,x)
| ~ between(u,w,x)
| ~ between(u,v,w) ),
inference(instantiation,[status(thm)],[c_1461]) ).
tcf(c_2824,plain,
( between(v,x,w)
| ~ between(u,x,w)
| ~ between(u,v,x) ),
inference(instantiation,[status(thm)],[c_1474]) ).
tcf(c_4885,plain,
( between(u,x,w)
| between(u,w,x)
| ( u = v )
| ~ between(u,v,x)
| ~ between(u,v,w) ),
inference(instantiation,[status(thm)],[c_1491]) ).
tcf(c_4886,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4885,c_2824,c_2772,c_133,c_134,c_135,c_131,c_132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO051-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 10:38:04 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 4.10/1.30 % SZS status Started for theBenchmark.p
% 4.10/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.10/1.30
% 4.10/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.10/1.30
% 4.10/1.30 % ------ iProver source info
% 4.10/1.30
% 4.10/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.10/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.10/1.30 % git: non_committed_changes: false
% 4.10/1.30
% 4.10/1.30 % ------ Parsing...% successful
% 4.10/1.30
% 4.10/1.30
% 4.10/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_eq
% 4.10/1.30 %
% 4.10/1.30
% 4.10/1.30 % ------ 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 %
% 4.10/1.30
% 4.10/1.30 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_eq
% 4.10/1.30 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e % ------ preprocesses with Option_epr_non_horn_eq
% 4.10/1.30 %
% 4.10/1.30
% 4.10/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.10/1.30 % ------ Proving...
% 4.10/1.30 % ------ Problem Properties
% 4.10/1.30
% 4.10/1.30 %
% 4.10/1.30 % clauses 41
% 4.10/1.30 % conjectures 1
% 4.10/1.30 % EPR 41
% 4.10/1.30 % Horn 34
% 4.10/1.30 % unary 10
% 4.10/1.30 % binary 11
% 4.10/1.30 % lits 124
% 4.10/1.30 % lits eq 15
% 4.10/1.30 % fd_pure 0
% 4.10/1.30 % fd_pseudo 0
% 4.10/1.30 % fd_cond 0
% 4.10/1.30 % fd_pseudo_cond 12
% 4.10/1.30 % AC symbols 0
% 4.10/1.30
% 4.10/1.30 % ------ Schedule EPR non Horn eq is on
% 4.10/1.30
% 4.10/1.30 % ------ Option_epr_non_horn_eq Time Limit: Unbounded
% 4.10/1.30
% 4.10/1.30
% 4.10/1.30 % ------
% 4.10/1.30 % Current options:
% 4.10/1.30 % ------
% 4.10/1.30
% 4.10/1.30
% 4.10/1.30 %
% 4.10/1.30
% 4.10/1.30 % ------ Proving...
% 4.10/1.30 %
% 4.10/1.30
% 4.10/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.10/1.30
% 4.10/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.10/1.30
% 4.10/1.30
%------------------------------------------------------------------------------