%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO057-2 : 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 : n008.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 01:19:43 PM UTC 2026
% Result : Unsatisfiable 2.14s 1.31s
% Output : CNFRefutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 12 unt; 1 def)
% Number of atoms : 21 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 7 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 4 ( 2 usr; 2 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-4 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 10 :)
% 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,axiom,
! [X0,X1] : reflection(X0,X1) = extension(X0,X1,X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).
fof(f20,negated_conjecture,
u != reflection(u,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_extension_by_reflection) ).
fof(f21,plain,
u != extension(u,u,u,u),
inference(definition_unfolding,[],[f20,f19]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ equidistant(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[],[f5]) ).
tcf(c_87,negated_conjecture,
extension(u,u,u,u) != u,
inference(cnf_transformation,[],[f21]) ).
tcf(c_315,definition,
iPr_def_10 = extension(u,u,u,u),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_316,negated_conjecture,
iPr_def_10 != u,
inference(demodulation,[status(thm)],[c_87,c_315]) ).
tcf(c_641,plain,
! [X0: $i,X1: $i,X2: $i] : extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_73,c_71]) ).
tcf(c_642,plain,
u = iPr_def_10,
inference(demodulation,[status(thm)],[c_315,c_641]) ).
tcf(c_644,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_316,c_642]) ).
tcf(c_645,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_644]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO057-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n008.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Wed Sep 23 10:38:13 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.45 % Detected problem language: tptp
% 0.12/0.46 % Proving...
% 2.14/1.31 % SZS status Started for theBenchmark.p
% 2.14/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 2.14/1.31
% 2.14/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.14/1.31
% 2.14/1.31 % ------ iProver source info
% 2.14/1.31
% 2.14/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 2.14/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.14/1.31 % git: non_committed_changes: false
% 2.14/1.31
% 2.14/1.31 % ------ Parsing...% successful
% 2.14/1.31
% 2.14/1.31
% 2.14/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.14/1.31
% 2.14/1.31 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.14/1.31
% 2.14/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.14/1.31
% 2.14/1.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.14/1.31 % ------ Proving...
% 2.14/1.31 % ------ Problem Properties
% 2.14/1.31
% 2.14/1.31 %
% 2.14/1.31 % clauses 20
% 2.14/1.31 % conjectures 1
% 2.14/1.31 % EPR 10
% 2.14/1.31 % Horn 15
% 2.14/1.31 % unary 8
% 2.14/1.31 % binary 2
% 2.14/1.31 % lits 58
% 2.14/1.31 % lits eq 9
% 2.14/1.31 % fd_pure 0
% 2.14/1.31 % fd_pseudo 0
% 2.14/1.31 % fd_cond 0
% 2.14/1.31 % fd_pseudo_cond 7
% 2.14/1.31 % AC symbols 0
% 2.14/1.31
% 2.14/1.31 % ------ Schedule dynamic 5 is on
% 2.14/1.31
% 2.14/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.14/1.31
% 2.14/1.31
% 2.14/1.31 % ------
% 2.14/1.31 % Current options:
% 2.14/1.31 % ------
% 2.14/1.31
% 2.14/1.31
% 2.14/1.31 %
% 2.14/1.31
% 2.14/1.31 % ------ Proving...
% 2.14/1.31 %
% 2.14/1.31
% 2.14/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 2.14/1.31
% 2.14/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.14/1.31
% 2.14/1.31
%------------------------------------------------------------------------------