%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO125-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 10.25s 2.26s
% Output : CNFRefutation 10.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% Number of atoms : 91 ( 39 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 102 ( 54 ~; 48 |; 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 : 78 ( 0 sgn 78 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
fof(f66,axiom,
! [X2,X3,X0,X1] :
( X1 != X3
| ~ between_c(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO004-2.ax',between_o_defn_5) ).
fof(f84,axiom,
! [X0,X1] :
( incident_o(X0,X1)
| ~ finish_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',finish_point_defn_12) ).
fof(f85,axiom,
! [X2,X0,X1] :
( ordered_by(X1,X2,X0)
| ~ incident_o(X2,X1)
| X0 = X2
| ~ finish_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',finish_point_defn_13) ).
fof(f91,axiom,
! [X2,X0,X1] :
( incident_o(X2,X0)
| ~ ordered_by(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',o1_18) ).
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/sandbox2/benchmark/Axioms/GEO004-2.ax',o3_24) ).
fof(f124,negated_conjecture,
finish_point(sk26,sk25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_2_133) ).
fof(f125,negated_conjecture,
finish_point(sk27,sk25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_2_134) ).
fof(f126,negated_conjecture,
sk26 != sk27,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_2_135) ).
fof(f131,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f66]) ).
tcf(c_191,plain,
! [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_208,plain,
! [X0: $i,X1: $i] :
( incident_o(X0,X1)
| ~ finish_point(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i,X2: $i] :
( ordered_by(X1,X2,X0)
| ( X0 = X2 )
| ~ incident_o(X2,X1)
| ~ finish_point(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_o(X2,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[],[f91]) ).
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,
finish_point(sk26,sk25),
inference(cnf_transformation,[],[f124]) ).
tcf(c_234,negated_conjecture,
finish_point(sk27,sk25),
inference(cnf_transformation,[],[f125]) ).
tcf(c_235,negated_conjecture,
sk26 != sk27,
inference(cnf_transformation,[],[f126]) ).
tcf(c_2964,negated_conjecture,
finish_point(sk27,sk25),
inference(demodulation,[status(thm)],[c_234]) ).
tcf(c_2965,negated_conjecture,
finish_point(sk26,sk25),
inference(demodulation,[status(thm)],[c_233]) ).
tcf(c_2966,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_2968,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_4856,plain,
! [X0: $i,X1: $i,X2: $i] : ~ between_o(X0,X1,X2,X1),
inference(superposition,[status(thm)],[c_220,c_191]) ).
tcf(c_5577,plain,
! [X0: $i] :
( ( sk26 = sk27 )
| ( sk27 != X0 )
| ( sk26 != X0 ) ),
inference(instantiation,[status(thm)],[c_2968]) ).
tcf(c_6235,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ordered_by(X0,X2,X1)
| ~ ordered_by(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_201,c_4856]) ).
tcf(c_6493,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ incident_o(X2,X0)
| ~ finish_point(X1,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_209,c_6235]) ).
tcf(c_6601,plain,
( ( sk26 = sk27 )
| ( sk27 != sk26 )
| ( sk26 != sk26 ) ),
inference(instantiation,[status(thm)],[c_5577]) ).
tcf(c_6602,plain,
sk26 = sk26,
inference(instantiation,[status(thm)],[c_2966]) ).
tcf(c_6603,plain,
! [X0: $i,X1: $i] :
( ( sk26 = X0 )
| ( sk26 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_2968]) ).
tcf(c_7144,plain,
sk27 = sk27,
inference(instantiation,[status(thm)],[c_2966]) ).
tcf(c_7495,plain,
! [X0: $i,X1: $i] :
( ( sk27 = X0 )
| ( sk27 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_2968]) ).
tcf(c_11662,plain,
! [X0: $i] :
( ( sk26 = X0 )
| ( sk26 != sk26 )
| ( X0 != sk26 ) ),
inference(instantiation,[status(thm)],[c_6603]) ).
tcf(c_12130,plain,
! [X0: $i] :
( ( sk27 = X0 )
| ( sk27 != sk27 )
| ( X0 != sk27 ) ),
inference(instantiation,[status(thm)],[c_7495]) ).
tcf(c_12878,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ordered_by(X0,X1,X2)
| ~ finish_point(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_6493,c_214,c_6493]) ).
tcf(c_12879,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ finish_point(X1,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_12878]) ).
tcf(c_12887,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ incident_o(X2,X1)
| ~ finish_point(X2,X1)
| ~ finish_point(X0,X1) ),
inference(superposition,[status(thm)],[c_209,c_12879]) ).
tcf(c_17413,plain,
! [X0: $i] :
( ( sk27 = sk26 )
| ( sk27 != X0 )
| ( sk26 != X0 ) ),
inference(instantiation,[status(thm)],[c_7495]) ).
tcf(c_24674,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ finish_point(X2,X1)
| ~ finish_point(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12887,c_208]) ).
tcf(c_24684,plain,
! [X0: $i] :
( ( X0 = sk26 )
| ~ finish_point(X0,sk25) ),
inference(superposition,[status(thm)],[c_2965,c_24674]) ).
tcf(c_24685,plain,
! [X0: $i] :
( ( X0 = sk27 )
| ~ finish_point(X0,sk25) ),
inference(superposition,[status(thm)],[c_2964,c_24674]) ).
tcf(c_24692,plain,
! [X0: $i] : ~ finish_point(X0,sk25),
inference(global_subsumption_just,[status(thm)],[c_24684,c_235,c_6601,c_6602,c_7144,c_11662,c_12130,c_17413,c_24685,c_24684]) ).
tcf(c_24695,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2965,c_24692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO125-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 11:05:42 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 10.25/2.26 % SZS status Started for theBenchmark.p
% 10.25/2.26 % SZS status Unsatisfiable for theBenchmark.p
% 10.25/2.26
% 10.25/2.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.25/2.26
% 10.25/2.26 % ------ iProver source info
% 10.25/2.26
% 10.25/2.26 % git: date: 2026-07-19 20:42:38 +0200
% 10.25/2.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.25/2.26 % git: non_committed_changes: false
% 10.25/2.26
% 10.25/2.26 % ------ Parsing...% successful
% 10.25/2.26
% 10.25/2.26
% 10.25/2.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.25/2.26
% 10.25/2.26 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 10.25/2.26
% 10.25/2.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.25/2.26
% 10.25/2.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.25/2.26 % ------ Proving...
% 10.25/2.26 % ------ Problem Properties
% 10.25/2.26
% 10.25/2.26 %
% 10.25/2.26 % clauses 88
% 10.25/2.26 % conjectures 3
% 10.25/2.26 % EPR 32
% 10.25/2.26 % Horn 57
% 10.25/2.26 % unary 7
% 10.25/2.26 % binary 33
% 10.25/2.26 % lits 256
% 10.25/2.26 % lits eq 25
% 10.25/2.26 % fd_pure 0
% 10.25/2.26 % fd_pseudo 0
% 10.25/2.26 % fd_cond 0
% 10.25/2.26 % fd_pseudo_cond 17
% 10.25/2.26 % AC symbols 0
% 10.25/2.26
% 10.25/2.26 % ------ Schedule dynamic 5 is on
% 10.25/2.26
% 10.25/2.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.25/2.26
% 10.25/2.26
% 10.25/2.26 % ------
% 10.25/2.26 % Current options:
% 10.25/2.26 % ------
% 10.25/2.26
% 10.25/2.26
% 10.25/2.26 %
% 10.25/2.26
% 10.25/2.26 % ------ Proving...
% 10.25/2.26 %
% 10.25/2.26
% 10.25/2.26 % SZS status Unsatisfiable for theBenchmark.p
% 10.25/2.26
% 10.25/2.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.25/2.26
% 10.25/2.26
%------------------------------------------------------------------------------