%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO094-1 : 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 : n020.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 01:19:52 PM UTC 2026
% Result : Unsatisfiable 4.04s 1.43s
% Output : CNFRefutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 50 ( 22 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 112 ( 53 ~; 59 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 59 ( 0 sgn 59 !; 0 ?; 33 :)
% 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(f23,axiom,
! [X2,X3,X0,X1] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_14) ).
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(f33,axiom,
! [X2,X0,X1] :
( incident_c(X0,X1)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_24) ).
fof(f34,axiom,
! [X2,X0,X1] :
( incident_c(X0,X2)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_25) ).
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(f36,axiom,
! [X2,X3,X0,X1] :
( end_point(X3,X2)
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_27) ).
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,
meet(sk17,sk15,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3_67) ).
fof(f67,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3_68) ).
fof(f68,negated_conjecture,
part_of(sk16,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3_69) ).
fof(f69,negated_conjecture,
end_point(sk17,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3_70) ).
tcf(c_101,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_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( part_of(X2,X0)
| part_of(X0,X2)
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X0)
| ~ end_point(X3,X1)
| ~ part_of(X2,X1)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_119,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] :
( incident_c(X0,X1)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_c(X0,X2)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_123,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_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( end_point(X3,X2)
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_134,plain,
! [X0: $i] : inner_point(ax0_sk8(X0),X0),
inference(cnf_transformation,[],[f46]) ).
tcf(c_144,negated_conjecture,
meet(sk17,sk15,sk16),
inference(cnf_transformation,[],[f66]) ).
tcf(c_145,negated_conjecture,
part_of(sk15,sk14),
inference(cnf_transformation,[],[f67]) ).
tcf(c_146,negated_conjecture,
part_of(sk16,sk14),
inference(cnf_transformation,[],[f68]) ).
tcf(c_147,negated_conjecture,
end_point(sk17,sk14),
inference(cnf_transformation,[],[f69]) ).
tcf(c_845,negated_conjecture,
end_point(sk17,sk14),
inference(demodulation,[status(thm)],[c_147]) ).
tcf(c_846,negated_conjecture,
part_of(sk16,sk14),
inference(demodulation,[status(thm)],[c_146]) ).
tcf(c_847,negated_conjecture,
part_of(sk15,sk14),
inference(demodulation,[status(thm)],[c_145]) ).
tcf(c_848,negated_conjecture,
meet(sk17,sk15,sk16),
inference(demodulation,[status(thm)],[c_144]) ).
tcf(c_1559,plain,
! [X0: $i] : incident_c(ax0_sk8(X0),X0),
inference(superposition,[status(thm)],[c_134,c_118]) ).
tcf(c_1619,plain,
incident_c(sk17,sk15),
inference(superposition,[status(thm)],[c_848,c_121]) ).
tcf(c_1637,plain,
incident_c(sk17,sk16),
inference(superposition,[status(thm)],[c_848,c_122]) ).
tcf(c_2493,plain,
! [X0: $i] :
( end_point(X0,sk15)
| ~ incident_c(X0,sk16)
| ~ incident_c(X0,sk15) ),
inference(superposition,[status(thm)],[c_848,c_123]) ).
tcf(c_2541,plain,
( end_point(ax0_sk8(sk15),sk15)
| ~ incident_c(ax0_sk8(sk15),sk16) ),
inference(superposition,[status(thm)],[c_1559,c_2493]) ).
tcf(c_2740,plain,
! [X0: $i] :
( end_point(X0,sk16)
| ~ incident_c(X0,sk16)
| ~ incident_c(X0,sk15) ),
inference(superposition,[status(thm)],[c_848,c_124]) ).
tcf(c_3601,plain,
! [X0: $i,X1: $i] :
( part_of(sk15,X1)
| part_of(X1,sk15)
| ~ incident_c(X0,sk15)
| ~ end_point(X0,sk14)
| ~ part_of(X1,sk14)
| ~ incident_c(X0,X1) ),
inference(superposition,[status(thm)],[c_847,c_111]) ).
tcf(c_3726,plain,
( part_of(sk16,sk15)
| part_of(sk15,sk16)
| ~ incident_c(sk17,sk15)
| ~ end_point(sk17,sk14)
| ~ part_of(sk16,sk14) ),
inference(superposition,[status(thm)],[c_1637,c_3601]) ).
tcf(c_3752,plain,
( part_of(sk16,sk15)
| part_of(sk15,sk16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3726,c_1619,c_845,c_846]) ).
tcf(c_3971,plain,
! [X0: $i] :
( part_of(sk15,sk16)
| incident_c(X0,sk15)
| ~ incident_c(X0,sk16) ),
inference(superposition,[status(thm)],[c_3752,c_101]) ).
tcf(c_4295,plain,
( part_of(sk15,sk16)
| incident_c(ax0_sk8(sk16),sk15) ),
inference(superposition,[status(thm)],[c_1559,c_3971]) ).
tcf(c_4820,plain,
( part_of(sk15,sk16)
| end_point(ax0_sk8(sk16),sk16)
| ~ incident_c(ax0_sk8(sk16),sk16) ),
inference(superposition,[status(thm)],[c_4295,c_2740]) ).
tcf(c_4829,plain,
( part_of(sk15,sk16)
| end_point(ax0_sk8(sk16),sk16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4820,c_1559]) ).
tcf(c_5167,plain,
( part_of(sk15,sk16)
| ~ inner_point(ax0_sk8(sk16),sk16) ),
inference(superposition,[status(thm)],[c_4829,c_119]) ).
tcf(c_5171,plain,
part_of(sk15,sk16),
inference(forward_subsumption_resolution,[status(thm)],[c_5167,c_134]) ).
tcf(c_5188,plain,
! [X0: $i] :
( incident_c(X0,sk16)
| ~ incident_c(X0,sk15) ),
inference(superposition,[status(thm)],[c_5171,c_101]) ).
tcf(c_5261,plain,
incident_c(ax0_sk8(sk15),sk16),
inference(superposition,[status(thm)],[c_1559,c_5188]) ).
tcf(c_5311,plain,
end_point(ax0_sk8(sk15),sk15),
inference(backward_subsumption_resolution,[status(thm)],[c_2541,c_5261]) ).
tcf(c_5722,plain,
~ inner_point(ax0_sk8(sk15),sk15),
inference(superposition,[status(thm)],[c_5311,c_119]) ).
tcf(c_5726,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5722,c_134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO094-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.45 % Computer : n020.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Wed Sep 23 10:50:34 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.24/0.51 Running first-order theorem proving
% 0.24/0.51 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
% 0.24/0.52
% 0.24/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.52
% 0.24/0.53 % Detected problem language: tptp
% 0.24/0.54 % Proving...
% 4.04/1.43 % SZS status Started for theBenchmark.p
% 4.04/1.43 % SZS status Unsatisfiable for theBenchmark.p
% 4.04/1.43
% 4.04/1.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.04/1.43
% 4.04/1.43 % ------ iProver source info
% 4.04/1.43
% 4.04/1.43 % git: date: 2026-07-19 20:42:38 +0200
% 4.04/1.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.04/1.43 % git: non_committed_changes: false
% 4.04/1.43
% 4.04/1.43 % ------ Parsing...% successful
% 4.04/1.43
% 4.04/1.43
% 4.04/1.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.04/1.43
% 4.04/1.43 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.04/1.43
% 4.04/1.43 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.04/1.43
% 4.04/1.43 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.04/1.43 % ------ Proving...
% 4.04/1.43 % ------ Problem Properties
% 4.04/1.43
% 4.04/1.43 %
% 4.04/1.43 % clauses 47
% 4.04/1.43 % conjectures 4
% 4.04/1.43 % EPR 19
% 4.04/1.43 % Horn 31
% 4.04/1.43 % unary 5
% 4.04/1.43 % binary 18
% 4.04/1.43 % lits 137
% 4.04/1.43 % lits eq 12
% 4.04/1.43 % fd_pure 0
% 4.04/1.43 % fd_pseudo 0
% 4.04/1.43 % fd_cond 0
% 4.04/1.43 % fd_pseudo_cond 7
% 4.04/1.43 % AC symbols 0
% 4.04/1.43
% 4.04/1.43 % ------ Schedule dynamic 5 is on
% 4.04/1.43
% 4.04/1.43 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.04/1.43
% 4.04/1.43
% 4.04/1.43 % ------
% 4.04/1.43 % Current options:
% 4.04/1.43 % ------
% 4.04/1.43
% 4.04/1.43
% 4.04/1.43 %
% 4.04/1.43
% 4.04/1.43 % ------ Proving...
% 4.04/1.43 %
% 4.04/1.43
% 4.04/1.43 % SZS status Unsatisfiable for theBenchmark.p
% 4.04/1.43
% 4.04/1.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.04/1.43
% 4.04/1.43
%------------------------------------------------------------------------------