%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO024-3 : 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 01:19:35 PM UTC 2026
% Result : Unsatisfiable 2.93s 1.25s
% Output : CNFRefutation 2.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 3 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 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; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
fof(f29,axiom,
! [X2,X0,X1] : X0 = extension(X1,X0,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e1) ).
fof(f30,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(reorient_equations,[],[f29]) ).
fof(f41,negated_conjecture,
~ equidistant(u,u,v,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_congruence) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[],[f5]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i] : extension(X0,X1,X2,X2) = X1,
inference(cnf_transformation,[],[f30]) ).
tcf(c_119,negated_conjecture,
~ equidistant(u,u,v,v),
inference(cnf_transformation,[],[f41]) ).
tcf(c_725,negated_conjecture,
~ equidistant(u,u,v,v),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_1112,plain,
! [X0: $i,X1: $i] : equidistant(X0,X0,X1,X1),
inference(superposition,[status(thm)],[c_112,c_89]) ).
tcf(c_1113,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_725,c_1112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO024-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n019.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Wed Sep 23 10:26:04 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.38 Running first-order theorem proving
% 0.15/0.38 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
% 0.15/0.39
% 0.15/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.39
% 0.15/0.39 % Detected problem language: tptp
% 0.15/0.41 % Proving...
% 2.93/1.25 % SZS status Started for theBenchmark.p
% 2.93/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 2.93/1.25
% 2.93/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.93/1.25
% 2.93/1.25 % ------ iProver source info
% 2.93/1.25
% 2.93/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 2.93/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.93/1.25 % git: non_committed_changes: false
% 2.93/1.25
% 2.93/1.25 % ------ Parsing...% successful
% 2.93/1.25
% 2.93/1.25
% 2.93/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.93/1.25
% 2.93/1.25 % ------ Preprocessing... sup_sim: 0 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 %
% 2.93/1.25
% 2.93/1.25 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.93/1.25
% 2.93/1.25 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.93/1.25 % ------ Proving...
% 2.93/1.25 % ------ Problem Properties
% 2.93/1.25
% 2.93/1.25 %
% 2.93/1.25 % clauses 30
% 2.93/1.25 % conjectures 1
% 2.93/1.25 % EPR 19
% 2.93/1.25 % Horn 25
% 2.93/1.25 % unary 9
% 2.93/1.25 % binary 10
% 2.93/1.25 % lits 78
% 2.93/1.25 % lits eq 10
% 2.93/1.25 % fd_pure 0
% 2.93/1.25 % fd_pseudo 0
% 2.93/1.25 % fd_cond 0
% 2.93/1.25 % fd_pseudo_cond 8
% 2.93/1.25 % AC symbols 0
% 2.93/1.25
% 2.93/1.25 % ------ Schedule dynamic 5 is on
% 2.93/1.25
% 2.93/1.25 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.93/1.25
% 2.93/1.25
% 2.93/1.25 % ------
% 2.93/1.25 % Current options:
% 2.93/1.25 % ------
% 2.93/1.25
% 2.93/1.25
% 2.93/1.25 %
% 2.93/1.25
% 2.93/1.25 % ------ Proving...
% 2.93/1.25 %
% 2.93/1.25
% 2.93/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 2.93/1.25
% 2.93/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.93/1.25
% 2.93/1.25
%------------------------------------------------------------------------------