%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO087-1 : 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 : n003.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 01:19:50 PM UTC 2026
% Result : Unsatisfiable 2.78s 1.27s
% Output : CNFRefutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 45 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 25 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).
fof(f30,axiom,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_21) ).
fof(f31,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_22) ).
fof(f35,axiom,
! [X2,X3,X0,X1] :
( end_point(X3,X1)
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_26) ).
fof(f46,axiom,
! [X0] : inner_point(ax0_sk8(X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c3_37) ).
fof(f66,negated_conjecture,
part_of(sk14,sk15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_9_67) ).
fof(f67,negated_conjecture,
meet(sk16,sk14,sk15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_9_68) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( end_point(X3,X1)
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_132,plain,
! [X0: $i] : inner_point(ax0_sk8(X0),X0),
inference(cnf_transformation,[],[f46]) ).
tcf(c_142,negated_conjecture,
part_of(sk14,sk15),
inference(cnf_transformation,[],[f66]) ).
tcf(c_143,negated_conjecture,
meet(sk16,sk14,sk15),
inference(cnf_transformation,[],[f67]) ).
tcf(c_815,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ end_point(X1,X2)
| ( X0 != X2 )
| ( ax0_sk8(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_117,c_132]) ).
tcf(c_816,plain,
! [X0: $i] : ~ end_point(ax0_sk8(X0),X0),
inference(unflattening,[status(thm)],[c_815]) ).
tcf(c_817,plain,
~ end_point(ax0_sk8(sk14),sk14),
inference(instantiation,[status(thm)],[c_816]) ).
tcf(c_837,negated_conjecture,
meet(sk16,sk14,sk15),
inference(demodulation,[status(thm)],[c_143]) ).
tcf(c_838,negated_conjecture,
part_of(sk14,sk15),
inference(demodulation,[status(thm)],[c_142]) ).
tcf(c_1542,plain,
! [X0: $i] :
( incident_c(X0,sk15)
| ~ incident_c(X0,sk14) ),
inference(superposition,[status(thm)],[c_838,c_99]) ).
tcf(c_1550,plain,
! [X0: $i] : incident_c(ax0_sk8(X0),X0),
inference(superposition,[status(thm)],[c_132,c_116]) ).
tcf(c_2438,plain,
! [X0: $i] :
( end_point(X0,sk14)
| ~ incident_c(X0,sk15)
| ~ incident_c(X0,sk14) ),
inference(superposition,[status(thm)],[c_837,c_121]) ).
tcf(c_2612,plain,
! [X0: $i] :
( end_point(X0,sk14)
| ~ incident_c(X0,sk14) ),
inference(global_subsumption_just,[status(thm)],[c_2438,c_1542,c_2438]) ).
tcf(c_2622,plain,
end_point(ax0_sk8(sk14),sk14),
inference(superposition,[status(thm)],[c_1550,c_2612]) ).
tcf(c_2653,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2622,c_817]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO087-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.56 % Computer : n003.cluster.edu
% 0.08/0.56 % Model : x86_64 x86_64
% 0.08/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.56 % Memory : 8046.5625MB
% 0.08/0.56 % OS : Linux 6.8.0-71-generic
% 0.08/0.57 % CPULimit : 300
% 0.08/0.57 % WCLimit : 300
% 0.08/0.57 % DateTime : Wed Sep 23 10:49:05 UTC 2026
% 0.08/0.57 % CPUTime :
% 0.08/0.57 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.61 Running first-order theorem proving
% 0.08/0.61 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
% 0.08/0.62
% 0.08/0.62 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.62
% 0.08/0.62 % Detected problem language: tptp
% 0.13/0.63 % Proving...
% 2.78/1.27 % SZS status Started for theBenchmark.p
% 2.78/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.78/1.27
% 2.78/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.78/1.27
% 2.78/1.27 % ------ iProver source info
% 2.78/1.27
% 2.78/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.78/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.78/1.27 % git: non_committed_changes: false
% 2.78/1.27
% 2.78/1.27 % ------ Parsing...% successful
% 2.78/1.27
% 2.78/1.27
% 2.78/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.78/1.27
% 2.78/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.78/1.27
% 2.78/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.78/1.27
% 2.78/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.78/1.27 % ------ Proving...
% 2.78/1.27 % ------ Problem Properties
% 2.78/1.27
% 2.78/1.27 %
% 2.78/1.27 % clauses 45
% 2.78/1.27 % conjectures 2
% 2.78/1.27 % EPR 17
% 2.78/1.27 % Horn 29
% 2.78/1.27 % unary 3
% 2.78/1.27 % binary 18
% 2.78/1.27 % lits 135
% 2.78/1.27 % lits eq 12
% 2.78/1.27 % fd_pure 0
% 2.78/1.27 % fd_pseudo 0
% 2.78/1.27 % fd_cond 0
% 2.78/1.27 % fd_pseudo_cond 7
% 2.78/1.27 % AC symbols 0
% 2.78/1.27
% 2.78/1.27 % ------ Schedule dynamic 5 is on
% 2.78/1.27
% 2.78/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.78/1.27
% 2.78/1.27
% 2.78/1.27 % ------
% 2.78/1.27 % Current options:
% 2.78/1.27 % ------
% 2.78/1.27
% 2.78/1.27
% 2.78/1.27 %
% 2.78/1.27
% 2.78/1.27 % ------ Proving...
% 2.78/1.27 %
% 2.78/1.27
% 2.78/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.78/1.27
% 2.78/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.78/1.27
% 2.78/1.27
%------------------------------------------------------------------------------