%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO039-3 : 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 : n019.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 01:19:39 PM UTC 2026
% Result : Unsatisfiable 3.40s 1.43s
% Output : CNFRefutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 12 unt; 0 def)
% Number of atoms : 16 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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 : 8 ( 0 sgn 8 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
fof(f51,axiom,
! [X0,X1] : between(X0,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3) ).
fof(f52,axiom,
between(u,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_x) ).
fof(f53,axiom,
u = x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_x) ).
fof(f54,negated_conjecture,
~ between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary) ).
fof(f62,plain,
between(x,w,x),
inference(definition_unfolding,[],[f52,f53]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ between(X0,X1,X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] : between(X0,X1,X1),
inference(cnf_transformation,[],[f51]) ).
tcf(c_139,plain,
between(x,w,x),
inference(cnf_transformation,[],[f62]) ).
tcf(c_140,negated_conjecture,
~ between(v,w,x),
inference(cnf_transformation,[],[f54]) ).
tcf(c_914,negated_conjecture,
~ between(v,w,x),
inference(demodulation,[status(thm)],[c_140]) ).
tcf(c_1395,plain,
w = x,
inference(superposition,[status(thm)],[c_139,c_102]) ).
tcf(c_1397,plain,
~ between(v,x,x),
inference(demodulation,[status(thm)],[c_914,c_1395]) ).
tcf(c_1398,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1397,c_138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO039-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 10:31:34 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 0.14/0.45
% 0.14/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.45
% 0.14/0.45 % Detected problem language: tptp
% 0.14/0.46 % Proving...
% 3.40/1.43 % SZS status Started for theBenchmark.p
% 3.40/1.43 % SZS status Unsatisfiable for theBenchmark.p
% 3.40/1.43
% 3.40/1.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.40/1.43
% 3.40/1.43 % ------ iProver source info
% 3.40/1.43
% 3.40/1.43 % git: date: 2026-07-19 20:42:38 +0200
% 3.40/1.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.40/1.43 % git: non_committed_changes: false
% 3.40/1.43
% 3.40/1.43 % ------ Parsing...% successful
% 3.40/1.43
% 3.40/1.43
% 3.40/1.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.40/1.43
% 3.40/1.43 % ------ 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 %
% 3.40/1.43
% 3.40/1.43 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.40/1.43
% 3.40/1.43 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.40/1.43 % ------ Proving...
% 3.40/1.43 % ------ Problem Properties
% 3.40/1.43
% 3.40/1.43 %
% 3.40/1.43 % clauses 39
% 3.40/1.43 % conjectures 1
% 3.40/1.43 % EPR 24
% 3.40/1.43 % Horn 30
% 3.40/1.43 % unary 13
% 3.40/1.43 % binary 11
% 3.40/1.43 % lits 100
% 3.40/1.43 % lits eq 19
% 3.40/1.43 % fd_pure 0
% 3.40/1.43 % fd_pseudo 0
% 3.40/1.43 % fd_cond 0
% 3.40/1.43 % fd_pseudo_cond 11
% 3.40/1.43 % AC symbols 0
% 3.40/1.43
% 3.40/1.43 % ------ Schedule dynamic 5 is on
% 3.40/1.43
% 3.40/1.43 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.40/1.43
% 3.40/1.43
% 3.40/1.43 % ------
% 3.40/1.43 % Current options:
% 3.40/1.43 % ------
% 3.40/1.43
% 3.40/1.43
% 3.40/1.43 %
% 3.40/1.43
% 3.40/1.43 % ------ Proving...
% 3.40/1.43 %
% 3.40/1.43
% 3.40/1.43 % SZS status Unsatisfiable for theBenchmark.p
% 3.40/1.43
% 3.40/1.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.40/1.43
% 3.40/1.43
%------------------------------------------------------------------------------