%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO052-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n001.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 01:19:42 PM UTC 2026
% Result : Unsatisfiable 3.54s 1.49s
% Output : CNFRefutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 15 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 26 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
fof(f52,axiom,
! [X0,X1] : between(X0,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3) ).
fof(f54,axiom,
! [X2,X0,X1] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f61,axiom,
! [X2,X3,X0,X1] :
( between(X1,X2,X3)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).
fof(f65,axiom,
! [X2,X3,X0,X1] :
( between(X0,X1,X3)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b9) ).
fof(f89,axiom,
! [X2,X3,X0,X1] :
( between(X0,X3,X1)
| between(X0,X1,X3)
| ~ between(X0,X3,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9) ).
fof(f90,axiom,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).
fof(f91,axiom,
between(u,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_x) ).
fof(f92,axiom,
~ between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_not_between_v_and_x) ).
fof(f93,negated_conjecture,
~ between(w,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_w_and_x) ).
tcf(c_175,plain,
! [X0: $i,X1: $i] : between(X0,X1,X1),
inference(cnf_transformation,[],[f52]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_183,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_187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X0,X1,X3)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X0,X3,X1)
| between(X0,X1,X3)
| ~ between(X0,X3,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_210,plain,
between(u,v,x),
inference(cnf_transformation,[],[f90]) ).
tcf(c_211,plain,
between(u,w,x),
inference(cnf_transformation,[],[f91]) ).
tcf(c_212,plain,
~ between(v,w,x),
inference(cnf_transformation,[],[f92]) ).
tcf(c_213,negated_conjecture,
~ between(w,v,x),
inference(cnf_transformation,[],[f93]) ).
tcf(c_2714,plain,
between(x,v,u),
inference(superposition,[status(thm)],[c_210,c_177]) ).
tcf(c_2715,plain,
between(x,w,u),
inference(superposition,[status(thm)],[c_211,c_177]) ).
tcf(c_3105,plain,
! [X0: $i] :
( between(x,v,X0)
| ~ between(x,u,X0) ),
inference(superposition,[status(thm)],[c_2714,c_187]) ).
tcf(c_3106,plain,
! [X0: $i] :
( between(x,w,X0)
| ~ between(x,u,X0) ),
inference(superposition,[status(thm)],[c_2715,c_187]) ).
tcf(c_3220,plain,
( between(v,w,x)
| ~ between(x,w,v) ),
inference(instantiation,[status(thm)],[c_177]) ).
tcf(c_3221,plain,
( between(w,v,x)
| ~ between(x,v,w) ),
inference(instantiation,[status(thm)],[c_177]) ).
tcf(c_4004,plain,
between(x,v,u),
inference(superposition,[status(thm)],[c_210,c_177]) ).
tcf(c_4699,plain,
! [X0: $i] :
( between(x,w,v)
| between(x,v,w)
| ~ between(x,w,X0)
| ~ between(x,v,X0) ),
inference(instantiation,[status(thm)],[c_209]) ).
tcf(c_5215,plain,
! [X0: $i] :
( between(v,u,X0)
| ~ between(x,u,X0) ),
inference(superposition,[status(thm)],[c_4004,c_183]) ).
tcf(c_5614,plain,
! [X0: $i] : ~ between(x,u,X0),
inference(global_subsumption_just,[status(thm)],[c_5215,c_213,c_212,c_3106,c_3105,c_3220,c_3221,c_4699]) ).
tcf(c_5617,plain,
$false,
inference(superposition,[status(thm)],[c_175,c_5614]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO052-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.42 % Computer : n001.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Wed Sep 23 10:41:50 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.48 Running first-order theorem proving
% 0.17/0.49 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
% 0.17/0.50
% 0.17/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.50
% 0.17/0.50 % Detected problem language: tptp
% 0.24/0.52 % Proving...
% 3.54/1.49 % SZS status Started for theBenchmark.p
% 3.54/1.49 % SZS status Unsatisfiable for theBenchmark.p
% 3.54/1.49
% 3.54/1.49 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.54/1.49
% 3.54/1.49 % ------ iProver source info
% 3.54/1.49
% 3.54/1.49 % git: date: 2026-07-19 20:42:38 +0200
% 3.54/1.49 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.54/1.49 % git: non_committed_changes: false
% 3.54/1.49
% 3.54/1.49 % ------ Parsing...% successful
% 3.54/1.49
% 3.54/1.49
% 3.54/1.49 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.54/1.49
% 3.54/1.49 % ------ Preprocessing... sup_sim: 1 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 %
% 3.54/1.49
% 3.54/1.49 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.54/1.49
% 3.54/1.49 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.54/1.49 % ------ Proving...
% 3.54/1.49 % ------ Problem Properties
% 3.54/1.49
% 3.54/1.49 %
% 3.54/1.49 % clauses 72
% 3.54/1.49 % conjectures 1
% 3.54/1.49 % EPR 49
% 3.54/1.49 % Horn 55
% 3.54/1.49 % unary 22
% 3.54/1.49 % binary 15
% 3.54/1.49 % lits 203
% 3.54/1.49 % lits eq 35
% 3.54/1.49 % fd_pure 0
% 3.54/1.49 % fd_pseudo 0
% 3.54/1.49 % fd_cond 0
% 3.54/1.49 % fd_pseudo_cond 20
% 3.54/1.49 % AC symbols 0
% 3.54/1.49
% 3.54/1.49 % ------ Schedule dynamic 5 is on
% 3.54/1.49
% 3.54/1.49 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.54/1.49
% 3.54/1.49
% 3.54/1.49 % ------
% 3.54/1.49 % Current options:
% 3.54/1.49 % ------
% 3.54/1.49
% 3.54/1.49
% 3.54/1.49 %
% 3.54/1.49
% 3.54/1.49 % ------ Proving...
% 3.54/1.49 %
% 3.54/1.49
% 3.54/1.49 % SZS status Unsatisfiable for theBenchmark.p
% 3.54/1.49
% 3.54/1.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.54/1.49
% 3.54/1.49
%------------------------------------------------------------------------------