%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO083-1 : 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 01:19:49 PM UTC 2026
% Result : Unsatisfiable 4.09s 6.30s
% Output : CNFRefutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 11 unt; 2 def)
% Number of atoms : 103 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 77 ( 34 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn 72 !; 0 ?; 32 :)
% 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(f2,axiom,
! [X0,X1] :
( part_of(X0,X1)
| incident_c(ax0_sk1(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_2) ).
fof(f3,axiom,
! [X0,X1] :
( part_of(X0,X1)
| ~ incident_c(ax0_sk1(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_3) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( incident_c(X3,X2)
| incident_c(X3,X1)
| ~ incident_c(X3,X0)
| X0 != sum(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_4) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( incident_c(X3,X2)
| incident_c(X3,X1)
| ~ incident_c(X3,X0)
| sum(X1,X2) != X0 ),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1)
| X0 != sum(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_5) ).
fof(f7,plain,
! [X2,X3,X0,X1] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1)
| sum(X1,X2) != X0 ),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( incident_c(X3,X0)
| ~ incident_c(X3,X2)
| X0 != sum(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_6) ).
fof(f9,plain,
! [X2,X3,X0,X1] :
( incident_c(X3,X0)
| ~ incident_c(X3,X2)
| sum(X1,X2) != X0 ),
inference(reorient_equations,[],[f8]) ).
fof(f66,negated_conjecture,
part_of(sk15,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_1_67) ).
fof(f69,negated_conjecture,
~ part_of(sum(sk14,sk15),sum(sk14,sk16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_1_70) ).
fof(f70,plain,
! [X2,X3,X1] :
( incident_c(X3,X2)
| incident_c(X3,X1)
| ~ incident_c(X3,sum(X1,X2)) ),
inference(equality_resolution,[],[f5]) ).
fof(f71,plain,
! [X2,X3,X1] :
( incident_c(X3,sum(X1,X2))
| ~ incident_c(X3,X1) ),
inference(equality_resolution,[],[f7]) ).
fof(f72,plain,
! [X2,X3,X1] :
( incident_c(X3,sum(X1,X2))
| ~ incident_c(X3,X2) ),
inference(equality_resolution,[],[f9]) ).
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_102,plain,
! [X0: $i,X1: $i] :
( part_of(X0,X1)
| incident_c(ax0_sk1(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( part_of(X0,X1)
| ~ incident_c(ax0_sk1(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_c(X0,X2)
| incident_c(X0,X1)
| ~ incident_c(X0,sum(X1,X2)) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_c(X0,sum(X1,X2))
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_c(X0,sum(X2,X1))
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_144,negated_conjecture,
part_of(sk15,sk16),
inference(cnf_transformation,[],[f66]) ).
tcf(c_147,negated_conjecture,
~ part_of(sum(sk14,sk15),sum(sk14,sk16)),
inference(cnf_transformation,[],[f69]) ).
tcf(c_845,definition,
iPr_def_10 = sum(sk14,sk15),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_846,definition,
iPr_def_11 = sum(sk14,sk16),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_847,negated_conjecture,
~ part_of(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_147,c_846,c_845]) ).
tcf(c_850,negated_conjecture,
part_of(sk15,sk16),
inference(demodulation,[status(thm)],[c_144]) ).
tcf(c_1633,plain,
! [X0: $i] :
( incident_c(X0,sk16)
| ~ incident_c(X0,sk15) ),
inference(superposition,[status(thm)],[c_850,c_101]) ).
tcf(c_1649,plain,
! [X0: $i,X1: $i,X2: $i] :
( part_of(X0,sum(X1,X2))
| ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_105,c_103]) ).
tcf(c_1665,plain,
! [X0: $i,X1: $i,X2: $i] :
( part_of(X0,sum(X1,X2))
| ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_106,c_103]) ).
tcf(c_1832,plain,
! [X0: $i,X1: $i,X2: $i] :
( part_of(sum(X0,X1),X2)
| incident_c(ax0_sk1(sum(X0,X1),X2),X1)
| incident_c(ax0_sk1(sum(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_102,c_104]) ).
tcf(c_4575,plain,
! [X0: $i] :
( part_of(X0,sum(sk14,sk16))
| ~ incident_c(ax0_sk1(X0,iPr_def_11),sk14) ),
inference(superposition,[status(thm)],[c_846,c_1649]) ).
tcf(c_4577,plain,
! [X0: $i] :
( part_of(X0,iPr_def_11)
| ~ incident_c(ax0_sk1(X0,iPr_def_11),sk14) ),
inference(light_normalisation,[status(thm)],[c_4575,c_846]) ).
tcf(c_6061,plain,
! [X0: $i] :
( part_of(X0,sum(sk14,sk16))
| ~ incident_c(ax0_sk1(X0,iPr_def_11),sk16) ),
inference(superposition,[status(thm)],[c_846,c_1665]) ).
tcf(c_6063,plain,
! [X0: $i] :
( part_of(X0,iPr_def_11)
| ~ incident_c(ax0_sk1(X0,iPr_def_11),sk16) ),
inference(light_normalisation,[status(thm)],[c_6061,c_846]) ).
tcf(c_8182,plain,
! [X0: $i,X1: $i] :
( part_of(sum(X0,sk15),X1)
| incident_c(ax0_sk1(sum(X0,sk15),X1),sk16)
| incident_c(ax0_sk1(sum(X0,sk15),X1),X0) ),
inference(superposition,[status(thm)],[c_1832,c_1633]) ).
tcf(c_8960,plain,
( part_of(sum(sk14,sk15),iPr_def_11)
| incident_c(ax0_sk1(sum(sk14,sk15),iPr_def_11),sk16) ),
inference(superposition,[status(thm)],[c_8182,c_4577]) ).
tcf(c_8971,plain,
( part_of(iPr_def_10,iPr_def_11)
| incident_c(ax0_sk1(iPr_def_10,iPr_def_11),sk16) ),
inference(light_normalisation,[status(thm)],[c_8960,c_845]) ).
tcf(c_8972,plain,
incident_c(ax0_sk1(iPr_def_10,iPr_def_11),sk16),
inference(forward_subsumption_resolution,[status(thm)],[c_8971,c_847]) ).
tcf(c_9189,plain,
part_of(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_8972,c_6063]) ).
tcf(c_9190,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9189,c_847]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO083-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/5.37 % Computer : n003.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Wed Sep 23 10:47:55 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.41 Running first-order theorem proving
% 0.13/5.41 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
% 0.13/5.42
% 0.13/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.42
% 0.13/5.42 % Detected problem language: tptp
% 0.13/5.44 % Proving...
% 4.09/6.30 % SZS status Started for theBenchmark.p
% 4.09/6.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.09/6.30
% 4.09/6.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.09/6.30
% 4.09/6.30 % ------ iProver source info
% 4.09/6.30
% 4.09/6.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.09/6.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.09/6.30 % git: non_committed_changes: false
% 4.09/6.30
% 4.09/6.30 % ------ Parsing...% successful
% 4.09/6.30
% 4.09/6.30
% 4.09/6.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.09/6.30
% 4.09/6.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.09/6.30
% 4.09/6.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.09/6.30
% 4.09/6.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.09/6.30 % ------ Proving...
% 4.09/6.30 % ------ Problem Properties
% 4.09/6.30
% 4.09/6.30 %
% 4.09/6.30 % clauses 49
% 4.09/6.30 % conjectures 4
% 4.09/6.30 % EPR 19
% 4.09/6.30 % Horn 33
% 4.09/6.30 % unary 7
% 4.09/6.30 % binary 18
% 4.09/6.30 % lits 139
% 4.09/6.30 % lits eq 14
% 4.09/6.30 % fd_pure 0
% 4.09/6.30 % fd_pseudo 0
% 4.09/6.30 % fd_cond 0
% 4.09/6.30 % fd_pseudo_cond 7
% 4.09/6.30 % AC symbols 0
% 4.09/6.30
% 4.09/6.30 % ------ Schedule dynamic 5 is on
% 4.09/6.30
% 4.09/6.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.09/6.30
% 4.09/6.30
% 4.09/6.30 % ------
% 4.09/6.30 % Current options:
% 4.09/6.30 % ------
% 4.09/6.30
% 4.09/6.30
% 4.09/6.30 %
% 4.09/6.30
% 4.09/6.30 % ------ Proving...
% 4.09/6.30 %
% 4.09/6.30
% 4.09/6.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.09/6.30
% 4.09/6.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.09/6.30
% 4.09/6.30
%------------------------------------------------------------------------------