%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO112-1 : 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 : n013.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 01:19:55 PM UTC 2026
% Result : Unsatisfiable 2.35s 1.73s
% Output : CNFRefutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 79 ( 27 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 100 ( 51 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 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 : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 93 ( 0 sgn 93 !; 0 ?; 65 :)
% 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(f67,axiom,
! [X2,X3,X0,X1] :
( part_of(ax1_sk1(X3,X2,X1,X0),X0)
| ~ between_c(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_2) ).
fof(f68,axiom,
! [X2,X3,X0,X1] :
( end_point(X1,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_3) ).
fof(f69,axiom,
! [X2,X3,X0,X1] :
( end_point(X3,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_4) ).
fof(f70,axiom,
! [X2,X3,X0,X1] :
( inner_point(X2,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_5) ).
fof(f71,axiom,
! [X2,X3,X0,X1,X4] :
( between_c(X3,X0,X4,X1)
| ~ inner_point(X4,X2)
| ~ end_point(X1,X2)
| ~ end_point(X0,X2)
| ~ part_of(X2,X3)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_6) ).
fof(f72,negated_conjecture,
between_c(sk15,sk16,sk17,sk18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_2_77) ).
fof(f73,negated_conjecture,
~ between_c(sk15,sk18,sk17,sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_2_78) ).
fof(f78,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f66]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i] : ~ between_c(X0,X1,X2,X1),
inference(cnf_transformation,[],[f78]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( part_of(ax1_sk1(X3,X2,X1,X0),X0)
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( end_point(X1,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( end_point(X3,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( inner_point(X2,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( between_c(X1,X2,X4,X3)
| ( X2 = X3 )
| ~ inner_point(X4,X0)
| ~ end_point(X3,X0)
| ~ end_point(X2,X0)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_154,negated_conjecture,
between_c(sk15,sk16,sk17,sk18),
inference(cnf_transformation,[],[f72]) ).
tcf(c_155,negated_conjecture,
~ between_c(sk15,sk18,sk17,sk16),
inference(cnf_transformation,[],[f73]) ).
tcf(c_905,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( between_c(X0,X2,X4,X6)
| ~ between_c(X1,X3,X5,X7)
| ( X6 != X7 )
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( between_c(X4,X5,X1,X6)
| ( X5 = X6 )
| ~ between_c(X3,X2,X1,X0)
| ~ end_point(X6,ax1_sk1(X0,X1,X2,X3))
| ~ end_point(X5,ax1_sk1(X0,X1,X2,X3))
| ~ part_of(ax1_sk1(X0,X1,X2,X3),X4) ),
inference(resolution,[status(thm)],[c_153,c_152]) ).
tcf(c_3097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( between_c(X4,X5,X1,X2)
| ( X5 = X2 )
| ~ between_c(X3,X2,X1,X0)
| ~ end_point(X5,ax1_sk1(X0,X1,X2,X3))
| ~ part_of(ax1_sk1(X0,X1,X2,X3),X4) ),
inference(resolution,[status(thm)],[c_3065,c_150]) ).
tcf(c_3170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( between_c(X4,X0,X1,X2)
| ( X0 = X2 )
| ~ between_c(X3,X2,X1,X0)
| ~ part_of(ax1_sk1(X0,X1,X2,X3),X4) ),
inference(resolution,[status(thm)],[c_3097,c_151]) ).
tcf(c_3193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between_c(X0,X3,X2,X1)
| ( X3 = X1 )
| ~ between_c(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c_3170,c_149]) ).
tcf(c_3200,plain,
( between_c(sk15,sk18,sk17,sk16)
| ( sk18 = sk16 ) ),
inference(resolution,[status(thm)],[c_3193,c_154]) ).
tcf(c_3426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between_c(X0,X1,X2,X3)
| ( X3 != sk18 )
| ( X2 != sk17 )
| ( X1 != sk16 )
| ( X0 != sk15 ) ),
inference(resolution,[status(thm)],[c_908,c_154]) ).
tcf(c_3462,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 != sk15 )
| ( X1 != sk17 )
| ( X0 != sk18 )
| ( X0 != sk16 ) ),
inference(resolution,[status(thm)],[c_3426,c_148]) ).
tcf(c_3556,plain,
! [X0: $i,X1: $i] :
( ( X1 != sk17 )
| ( X0 != sk18 )
| ( X0 != sk16 ) ),
inference(resolution,[status(thm)],[c_3462,c_905]) ).
tcf(c_3628,plain,
! [X0: $i] :
( ( X0 != sk18 )
| ( X0 != sk16 ) ),
inference(resolution,[status(thm)],[c_3556,c_905]) ).
tcf(c_3792,plain,
sk18 != sk16,
inference(resolution,[status(thm)],[c_3628,c_905]) ).
tcf(c_3793,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3792,c_3200,c_155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO112-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 10:55:51 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 2.35/1.73 % SZS status Started for theBenchmark.p
% 2.35/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 2.35/1.73
% 2.35/1.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.35/1.73
% 2.35/1.73 % ------ iProver source info
% 2.35/1.73
% 2.35/1.73 % git: date: 2026-07-19 20:42:38 +0200
% 2.35/1.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.35/1.73 % git: non_committed_changes: false
% 2.35/1.73
% 2.35/1.73 % ------ Parsing...% successful
% 2.35/1.73
% 2.35/1.73
% 2.35/1.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.35/1.73
% 2.35/1.73 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.35/1.73
% 2.35/1.73 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.35/1.73
% 2.35/1.73 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.35/1.73 % ------ Proving...
% 2.35/1.73 % ------ Problem Properties
% 2.35/1.73
% 2.35/1.73 %
% 2.35/1.73 % clauses 51
% 2.35/1.73 % conjectures 2
% 2.35/1.73 % EPR 19
% 2.35/1.73 % Horn 34
% 2.35/1.73 % unary 4
% 2.35/1.73 % binary 22
% 2.35/1.73 % lits 150
% 2.35/1.73 % lits eq 13
% 2.35/1.73 % fd_pure 0
% 2.35/1.73 % fd_pseudo 0
% 2.35/1.73 % fd_cond 0
% 2.35/1.73 % fd_pseudo_cond 8
% 2.35/1.73 % AC symbols 0
% 2.35/1.73
% 2.35/1.73 % ------ Input Options Time Limit: Unbounded
% 2.35/1.73
% 2.35/1.73
% 2.35/1.73 % ------
% 2.35/1.73 % Current options:
% 2.35/1.73 % ------
% 2.35/1.73
% 2.35/1.73
% 2.35/1.73 %
% 2.35/1.73
% 2.35/1.73 % ------ Proving...
% 2.35/1.73 %
% 2.35/1.73
% 2.35/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 2.35/1.73
% 2.35/1.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.35/1.73
% 2.35/1.73
%------------------------------------------------------------------------------