%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO124-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.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 01:19:57 PM UTC 2026
% Result : Unsatisfiable 12.17s 2.77s
% Output : CNFRefutation 12.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 61 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 37 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 61 ( 0 sgn 61 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
fof(f66,axiom,
! [X2,X3,X0,X1] :
( X1 != X3
| ~ between_c(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_1) ).
fof(f76,axiom,
! [X2,X3,X0,X1] :
( between_o(X0,X1,X2,X3)
| ~ ordered_by(X0,X2,X3)
| ~ ordered_by(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',between_o_defn_5) ).
fof(f78,axiom,
! [X0,X1] :
( incident_o(X0,X1)
| ~ start_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',start_point_defn_7) ).
fof(f79,axiom,
! [X2,X0,X1] :
( ordered_by(X1,X0,X2)
| ~ incident_o(X2,X1)
| X0 = X2
| ~ start_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',start_point_defn_8) ).
fof(f90,axiom,
! [X2,X0,X1] :
( incident_o(X1,X0)
| ~ ordered_by(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o1_17) ).
fof(f97,axiom,
! [X2,X3,X0,X1] :
( between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3)
| ~ between_o(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o3_24) ).
fof(f124,negated_conjecture,
start_point(sk26,sk25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_1_133) ).
fof(f125,negated_conjecture,
start_point(sk27,sk25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_1_134) ).
fof(f126,negated_conjecture,
sk26 != sk27,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_1_135) ).
fof(f131,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f66]) ).
tcf(c_191,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : ~ between_c(X0,X1,X2,X1),
inference(cnf_transformation,[],[f131]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between_o(X0,X1,X2,X3)
| ~ ordered_by(X0,X2,X3)
| ~ ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_203,plain,
! [X0: $i,X1: $i] :
( incident_o(X0,X1)
| ~ start_point(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ordered_by(X1,X0,X2)
| ( X0 = X2 )
| ~ incident_o(X2,X1)
| ~ start_point(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_213,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_o(X1,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3)
| ~ between_o(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_233,negated_conjecture,
start_point(sk26,sk25),
inference(cnf_transformation,[],[f124]) ).
tcf(c_234,negated_conjecture,
start_point(sk27,sk25),
inference(cnf_transformation,[],[f125]) ).
tcf(c_235,negated_conjecture,
sk26 != sk27,
inference(cnf_transformation,[],[f126]) ).
tcf(c_422,plain,
( incident_o(sk27,sk25)
| ~ start_point(sk27,sk25) ),
inference(instantiation,[status(thm)],[c_203]) ).
tcf(c_2739,plain,
! [X0: $i,X1: $i,X2: $i] : ~ between_o(X0,X1,X2,X1),
inference(superposition,[status(thm)],[c_220,c_191]) ).
tcf(c_2767,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ordered_by(X0,X2,X1)
| ~ ordered_by(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_201,c_2739]) ).
tcf(c_2797,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ incident_o(X1,X0)
| ~ start_point(X2,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_204,c_2767]) ).
tcf(c_2842,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ordered_by(X0,X1,X2)
| ~ start_point(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2797,c_213,c_2797]) ).
tcf(c_2843,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ start_point(X2,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_2842]) ).
tcf(c_2844,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ incident_o(X2,X1)
| ~ start_point(X2,X1)
| ~ start_point(X0,X1) ),
inference(superposition,[status(thm)],[c_204,c_2843]) ).
tcf(c_2853,plain,
! [X0: $i] :
( ( X0 = sk26 )
| ~ incident_o(X0,sk25)
| ~ start_point(X0,sk25) ),
inference(superposition,[status(thm)],[c_233,c_2844]) ).
tcf(c_2860,plain,
( ( sk26 = sk27 )
| ~ incident_o(sk27,sk25) ),
inference(superposition,[status(thm)],[c_234,c_2853]) ).
tcf(c_2862,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2860,c_422,c_235,c_234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO124-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 10:58:36 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.40 Running first-order theorem proving
% 0.02/0.40 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
% 0.02/0.41
% 0.02/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.41
% 0.02/0.41 % Detected problem language: tptp
% 0.02/0.43 % Proving...
% 12.17/2.77 % SZS status Started for theBenchmark.p
% 12.17/2.77 % SZS status Unsatisfiable for theBenchmark.p
% 12.17/2.77
% 12.17/2.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 12.17/2.77
% 12.17/2.77 % ------ iProver source info
% 12.17/2.77
% 12.17/2.77 % git: date: 2026-07-19 20:42:38 +0200
% 12.17/2.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 12.17/2.77 % git: non_committed_changes: false
% 12.17/2.77
% 12.17/2.77 % ------ Parsing...% successful
% 12.17/2.77
% 12.17/2.77
% 12.17/2.77 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 12.17/2.77
% 12.17/2.77 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e %
% 12.17/2.77
% 12.17/2.77 % ------ Preprocessing...%
% 12.17/2.77
% 12.17/2.77 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 12.17/2.77 % ------ Proving...
% 12.17/2.77 % ------ Problem Properties
% 12.17/2.77
% 12.17/2.77 %
% 12.17/2.77 % clauses 88
% 12.17/2.77 % conjectures 7
% 12.17/2.77 % EPR 32
% 12.17/2.77 % Horn 57
% 12.17/2.77 % unary 7
% 12.17/2.77 % binary 31
% 12.17/2.77 % lits 258
% 12.17/2.77 % lits eq 25
% 12.17/2.77 % fd_pure 0
% 12.17/2.77 % fd_pseudo 0
% 12.17/2.77 % fd_cond 0
% 12.17/2.77 % fd_pseudo_cond 17
% 12.17/2.77 % AC symbols 0
% 12.17/2.77
% 12.17/2.77 % ------ Input Options Time Limit: Unbounded
% 12.17/2.77
% 12.17/2.77
% 12.17/2.77 % ------
% 12.17/2.77 % Current options:
% 12.17/2.77 % ------
% 12.17/2.77
% 12.17/2.77
% 12.17/2.77 %
% 12.17/2.77
% 12.17/2.77 % ------ Proving...
% 12.17/2.77 %
% 12.17/2.77
% 12.17/2.77 % SZS status Unsatisfiable for theBenchmark.p
% 12.17/2.77
% 12.17/2.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.17/2.77
% 12.17/2.77
%------------------------------------------------------------------------------