%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO024-2 : 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 2.27s 1.15s
% Output : CNFRefutation 2.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 8 unt; 0 def)
% Number of atoms : 12 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( X0 = X1
| ~ equidistant(X0,X1,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
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(f19,negated_conjecture,
~ equidistant(u,u,v,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_congruence) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ equidistant(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[],[f5]) ).
tcf(c_86,negated_conjecture,
~ equidistant(u,u,v,v),
inference(cnf_transformation,[],[f19]) ).
tcf(c_313,negated_conjecture,
~ equidistant(u,u,v,v),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_630,plain,
! [X0: $i,X1: $i,X2: $i] : extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_72,c_70]) ).
tcf(c_662,plain,
! [X0: $i,X1: $i] : equidistant(X0,X0,X1,X1),
inference(superposition,[status(thm)],[c_630,c_72]) ).
tcf(c_663,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_313,c_662]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO024-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n019.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Wed Sep 23 10:25:52 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 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
% 0.12/0.39
% 0.12/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.39
% 0.12/0.39 % Detected problem language: tptp
% 0.12/0.40 % Proving...
% 2.27/1.15 % SZS status Started for theBenchmark.p
% 2.27/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 2.27/1.15
% 2.27/1.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.27/1.15
% 2.27/1.15 % ------ iProver source info
% 2.27/1.15
% 2.27/1.15 % git: date: 2026-07-19 20:42:38 +0200
% 2.27/1.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.27/1.15 % git: non_committed_changes: false
% 2.27/1.15
% 2.27/1.15 % ------ Parsing...% successful
% 2.27/1.15
% 2.27/1.15
% 2.27/1.15 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.27/1.15
% 2.27/1.15 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.27/1.15
% 2.27/1.15 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.27/1.15
% 2.27/1.15 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.27/1.15 % ------ Proving...
% 2.27/1.15 % ------ Problem Properties
% 2.27/1.15
% 2.27/1.15 %
% 2.27/1.15 % clauses 19
% 2.27/1.15 % conjectures 1
% 2.27/1.15 % EPR 10
% 2.27/1.15 % Horn 14
% 2.27/1.15 % unary 7
% 2.27/1.15 % binary 2
% 2.27/1.15 % lits 57
% 2.27/1.15 % lits eq 7
% 2.27/1.15 % fd_pure 0
% 2.27/1.15 % fd_pseudo 0
% 2.27/1.15 % fd_cond 0
% 2.27/1.15 % fd_pseudo_cond 7
% 2.27/1.15 % AC symbols 0
% 2.27/1.15
% 2.27/1.15 % ------ Schedule dynamic 5 is on
% 2.27/1.15
% 2.27/1.15 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.27/1.15
% 2.27/1.15
% 2.27/1.15 % ------
% 2.27/1.15 % Current options:
% 2.27/1.15 % ------
% 2.27/1.15
% 2.27/1.15
% 2.27/1.15 %
% 2.27/1.15
% 2.27/1.15 % ------ Proving...
% 2.27/1.15 %
% 2.27/1.15
% 2.27/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 2.27/1.15
% 2.27/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.27/1.15
% 2.27/1.15
%------------------------------------------------------------------------------