%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO014-2 : 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 : n002.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 01:19:33 PM UTC 2026
% Result : Unsatisfiable 1.79s 1.28s
% Output : CNFRefutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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; 0-4 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,X4,X5)
| ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
fof(f19,negated_conjecture,
~ equidistant(u,v,u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_reflexivity) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : equidistant(X0,X1,X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( equidistant(X2,X3,X4,X5)
| ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_86,negated_conjecture,
~ equidistant(u,v,u,v),
inference(cnf_transformation,[],[f19]) ).
tcf(c_313,negated_conjecture,
~ equidistant(u,v,u,v),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equidistant(X1,X0,X2,X3)
| ~ equidistant(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_68,c_69]) ).
tcf(c_673,plain,
! [X0: $i,X1: $i] : equidistant(X0,X1,X0,X1),
inference(superposition,[status(thm)],[c_68,c_619]) ).
tcf(c_676,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_313,c_673]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO014-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 10:26:21 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 1.79/1.28 % SZS status Started for theBenchmark.p
% 1.79/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.79/1.28
% 1.79/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.79/1.28
% 1.79/1.28 % ------ iProver source info
% 1.79/1.28
% 1.79/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.79/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.79/1.28 % git: non_committed_changes: false
% 1.79/1.28
% 1.79/1.28 % ------ Parsing...% successful
% 1.79/1.28
% 1.79/1.28
% 1.79/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.79/1.28
% 1.79/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.79/1.28
% 1.79/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.79/1.28
% 1.79/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.79/1.28 % ------ Proving...
% 1.79/1.28 % ------ Problem Properties
% 1.79/1.28
% 1.79/1.28 %
% 1.79/1.28 % clauses 19
% 1.79/1.28 % conjectures 1
% 1.79/1.28 % EPR 10
% 1.79/1.28 % Horn 14
% 1.79/1.28 % unary 7
% 1.79/1.28 % binary 2
% 1.79/1.28 % lits 57
% 1.79/1.28 % lits eq 7
% 1.79/1.28 % fd_pure 0
% 1.79/1.28 % fd_pseudo 0
% 1.79/1.28 % fd_cond 0
% 1.79/1.28 % fd_pseudo_cond 7
% 1.79/1.28 % AC symbols 0
% 1.79/1.28
% 1.79/1.28 % ------ Schedule dynamic 5 is on
% 1.79/1.28
% 1.79/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.79/1.28
% 1.79/1.28
% 1.79/1.28 % ------
% 1.79/1.28 % Current options:
% 1.79/1.28 % ------
% 1.79/1.28
% 1.79/1.28
% 1.79/1.28 %
% 1.79/1.28
% 1.79/1.28 % ------ Proving...
% 1.79/1.28 %
% 1.79/1.28
% 1.79/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.79/1.28
% 1.79/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.79/1.28
% 1.79/1.28
%------------------------------------------------------------------------------