%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO082-1 : 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 3.49s 1.26s
% Output : CNFRefutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 13 unt; 0 def)
% Number of atoms : 66 ( 26 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 59 ( 25 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?; 17 :)
% 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(f58,axiom,
! [X0,X1] :
( X1 = X0
| incident_c(ax0_sk13(X0,X1),X0)
| incident_c(ax0_sk13(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c9_45) ).
fof(f59,plain,
! [X0,X1] :
( X0 = X1
| incident_c(ax0_sk13(X0,X1),X0)
| incident_c(ax0_sk13(X0,X1),X1) ),
inference(reorient_equations,[],[f58]) ).
fof(f64,axiom,
! [X0,X1] :
( X1 = X0
| ~ incident_c(ax0_sk13(X0,X1),X1)
| ~ incident_c(ax0_sk13(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c9_48) ).
fof(f65,plain,
! [X0,X1] :
( X0 = X1
| ~ incident_c(ax0_sk13(X0,X1),X1)
| ~ incident_c(ax0_sk13(X0,X1),X0) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,negated_conjecture,
part_of(sk14,sk15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_antisymmetry_67) ).
fof(f67,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_antisymmetry_68) ).
fof(f68,negated_conjecture,
sk14 != sk15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_antisymmetry_69) ).
tcf(c_100,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_141,plain,
! [X0: $i,X1: $i] :
( incident_c(ax0_sk13(X0,X1),X1)
| incident_c(ax0_sk13(X0,X1),X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ incident_c(ax0_sk13(X0,X1),X1)
| ~ incident_c(ax0_sk13(X0,X1),X0) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_143,negated_conjecture,
part_of(sk14,sk15),
inference(cnf_transformation,[],[f66]) ).
tcf(c_144,negated_conjecture,
part_of(sk15,sk14),
inference(cnf_transformation,[],[f67]) ).
tcf(c_145,negated_conjecture,
sk14 != sk15,
inference(cnf_transformation,[],[f68]) ).
tcf(c_841,negated_conjecture,
sk14 != sk15,
inference(demodulation,[status(thm)],[c_145]) ).
tcf(c_842,negated_conjecture,
part_of(sk15,sk14),
inference(demodulation,[status(thm)],[c_144]) ).
tcf(c_843,negated_conjecture,
part_of(sk14,sk15),
inference(demodulation,[status(thm)],[c_143]) ).
tcf(c_844,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_846,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_855,plain,
sk14 = sk14,
inference(instantiation,[status(thm)],[c_844]) ).
tcf(c_1543,plain,
! [X0: $i] :
( incident_c(X0,sk15)
| ~ incident_c(X0,sk14) ),
inference(superposition,[status(thm)],[c_843,c_100]) ).
tcf(c_1544,plain,
! [X0: $i] :
( incident_c(X0,sk14)
| ~ incident_c(X0,sk15) ),
inference(superposition,[status(thm)],[c_842,c_100]) ).
tcf(c_1948,plain,
! [X0: $i] :
( ( sk14 = sk15 )
| ( sk15 != X0 )
| ( sk14 != X0 ) ),
inference(instantiation,[status(thm)],[c_846]) ).
tcf(c_1949,plain,
( ( sk14 = sk15 )
| ( sk15 != sk14 )
| ( sk14 != sk14 ) ),
inference(instantiation,[status(thm)],[c_1948]) ).
tcf(c_2394,plain,
! [X0: $i] :
( incident_c(ax0_sk13(X0,sk14),sk15)
| incident_c(ax0_sk13(X0,sk14),X0)
| ( X0 = sk14 ) ),
inference(superposition,[status(thm)],[c_141,c_1543]) ).
tcf(c_2399,plain,
! [X0: $i] :
( incident_c(ax0_sk13(sk15,X0),sk14)
| incident_c(ax0_sk13(sk15,X0),X0)
| ( X0 = sk15 ) ),
inference(superposition,[status(thm)],[c_141,c_1544]) ).
tcf(c_2430,plain,
( incident_c(ax0_sk13(sk15,sk14),sk14)
| ( sk14 = sk15 ) ),
inference(instantiation,[status(thm)],[c_2399]) ).
tcf(c_2672,plain,
! [X0: $i] :
( ( sk15 = X0 )
| ~ incident_c(ax0_sk13(sk15,X0),sk15)
| ~ incident_c(ax0_sk13(sk15,X0),X0) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_2675,plain,
( ( sk15 = sk14 )
| ~ incident_c(ax0_sk13(sk15,sk14),sk15)
| ~ incident_c(ax0_sk13(sk15,sk14),sk14) ),
inference(instantiation,[status(thm)],[c_2672]) ).
tcf(c_2695,plain,
( incident_c(ax0_sk13(sk15,sk14),sk15)
| ( sk14 = sk15 ) ),
inference(equality_factoring,[status(thm)],[c_2394]) ).
tcf(c_2697,plain,
incident_c(ax0_sk13(sk15,sk14),sk15),
inference(forward_subsumption_resolution,[status(thm)],[c_2695,c_841]) ).
tcf(c_2720,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2697,c_2675,c_2430,c_1949,c_855,c_145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO082-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 10:47:34 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.39 Running first-order theorem proving
% 0.08/0.39 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
% 0.08/0.40
% 0.08/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.40
% 0.08/0.40 % Detected problem language: tptp
% 0.08/0.41 % Proving...
% 3.49/1.26 % SZS status Started for theBenchmark.p
% 3.49/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 3.49/1.26
% 3.49/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.49/1.26
% 3.49/1.26 % ------ iProver source info
% 3.49/1.26
% 3.49/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 3.49/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.49/1.26 % git: non_committed_changes: false
% 3.49/1.26
% 3.49/1.26 % ------ Parsing...% successful
% 3.49/1.26
% 3.49/1.26
% 3.49/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.49/1.26
% 3.49/1.26 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.49/1.26
% 3.49/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.49/1.26
% 3.49/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.49/1.26 % ------ Proving...
% 3.49/1.26 % ------ Problem Properties
% 3.49/1.26
% 3.49/1.26 %
% 3.49/1.26 % clauses 46
% 3.49/1.26 % conjectures 3
% 3.49/1.26 % EPR 18
% 3.49/1.26 % Horn 30
% 3.49/1.26 % unary 4
% 3.49/1.26 % binary 18
% 3.49/1.26 % lits 136
% 3.49/1.26 % lits eq 13
% 3.49/1.26 % fd_pure 0
% 3.49/1.26 % fd_pseudo 0
% 3.49/1.26 % fd_cond 0
% 3.49/1.26 % fd_pseudo_cond 7
% 3.49/1.26 % AC symbols 0
% 3.49/1.26
% 3.49/1.26 % ------ Schedule dynamic 5 is on
% 3.49/1.26
% 3.49/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.49/1.26
% 3.49/1.26
% 3.49/1.26 % ------
% 3.49/1.26 % Current options:
% 3.49/1.26 % ------
% 3.49/1.26
% 3.49/1.26
% 3.49/1.26 %
% 3.49/1.26
% 3.49/1.26 % ------ Proving...
% 3.49/1.26 %
% 3.49/1.26
% 3.49/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 3.49/1.26
% 3.49/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.49/1.26
% 3.49/1.26
%------------------------------------------------------------------------------