%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO002-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n003.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 01:19:29 PM UTC 2026
% Result : Unsatisfiable 3.19s 6.54s
% Output : CNFRefutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 7 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
! [X0,X1] : between(X0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
fof(f53,axiom,
! [X2,X0,X1] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
fof(f54,negated_conjecture,
~ between(a,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_between_a_and_b) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] : between(X0,X1,X1),
inference(cnf_transformation,[],[f51]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i,X2: $i] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_141,negated_conjecture,
~ between(a,a,b),
inference(cnf_transformation,[],[f54]) ).
tcf(c_943,negated_conjecture,
~ between(a,a,b),
inference(demodulation,[status(thm)],[c_141]) ).
tcf(c_1445,plain,
! [X0: $i,X1: $i] : between(X0,X0,X1),
inference(superposition,[status(thm)],[c_138,c_140]) ).
tcf(c_1447,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_943,c_1445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO002-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/5.47 % Computer : n003.cluster.edu
% 0.18/5.47 % Model : x86_64 x86_64
% 0.18/5.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.47 % Memory : 8046.5625MB
% 0.18/5.47 % OS : Linux 6.8.0-71-generic
% 0.18/5.47 % CPULimit : 300
% 0.18/5.47 % WCLimit : 300
% 0.18/5.47 % DateTime : Wed Sep 23 10:19:42 UTC 2026
% 0.18/5.47 % CPUTime :
% 0.18/5.47 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.24/5.53 Running first-order theorem proving
% 0.24/5.53 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
% 0.24/5.55
% 0.24/5.55 % ======== iProver multi-core TPTP/SMT =========
% 0.24/5.55
% 0.24/5.55 % Detected problem language: tptp
% 0.24/5.57 % Proving...
% 3.19/6.54 % SZS status Started for theBenchmark.p
% 3.19/6.54 % SZS status Unsatisfiable for theBenchmark.p
% 3.19/6.54
% 3.19/6.54 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.19/6.54
% 3.19/6.54 % ------ iProver source info
% 3.19/6.54
% 3.19/6.54 % git: date: 2026-07-19 20:42:38 +0200
% 3.19/6.54 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.19/6.54 % git: non_committed_changes: false
% 3.19/6.54
% 3.19/6.54 % ------ Parsing...% successful
% 3.19/6.54
% 3.19/6.54
% 3.19/6.54 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.19/6.54
% 3.19/6.54 % ------ 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 %
% 3.19/6.54
% 3.19/6.54 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.19/6.54
% 3.19/6.54 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.19/6.54 % ------ Proving...
% 3.19/6.54 % ------ Problem Properties
% 3.19/6.54
% 3.19/6.54 %
% 3.19/6.54 % clauses 40
% 3.19/6.54 % conjectures 1
% 3.19/6.54 % EPR 25
% 3.19/6.54 % Horn 31
% 3.19/6.54 % unary 12
% 3.19/6.54 % binary 13
% 3.19/6.54 % lits 103
% 3.19/6.54 % lits eq 19
% 3.19/6.54 % fd_pure 0
% 3.19/6.54 % fd_pseudo 0
% 3.19/6.54 % fd_cond 0
% 3.19/6.54 % fd_pseudo_cond 11
% 3.19/6.54 % AC symbols 0
% 3.19/6.54
% 3.19/6.54 % ------ Schedule dynamic 5 is on
% 3.19/6.54
% 3.19/6.54 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.19/6.54
% 3.19/6.54
% 3.19/6.54 % ------
% 3.19/6.54 % Current options:
% 3.19/6.54 % ------
% 3.19/6.54
% 3.19/6.54
% 3.19/6.54 %
% 3.19/6.54
% 3.19/6.54 % ------ Proving...
% 3.19/6.54 %
% 3.19/6.54
% 3.19/6.54 % SZS status Unsatisfiable for theBenchmark.p
% 3.19/6.54
% 3.19/6.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.19/6.54
% 3.19/6.54
%------------------------------------------------------------------------------