%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO085-1 : 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 : n012.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 2.56s 1.05s
% Output : CNFRefutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 57 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 32 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f40,axiom,
! [X0,X1] :
( ~ end_point(X1,X0)
| ~ closed(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',closed_defn_31) ).
fof(f41,axiom,
! [X0] :
( closed(X0)
| end_point(ax0_sk6(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',closed_defn_32) ).
fof(f42,axiom,
! [X0] :
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',open_defn_33) ).
fof(f51,axiom,
! [X0,X1] :
( end_point(ax0_sk11(X0,X1),X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',c6_41) ).
fof(f52,axiom,
! [X0,X1] :
( X0 != ax0_sk11(X0,X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',c6_42) ).
fof(f53,plain,
! [X0,X1] :
( ax0_sk11(X0,X1) != X0
| ~ end_point(X0,X1) ),
inference(reorient_equations,[],[f52]) ).
fof(f66,negated_conjecture,
open(sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_7_1_67) ).
fof(f67,negated_conjecture,
! [X0,X1] :
( ~ end_point(X1,sk14)
| ~ end_point(X0,sk14)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_7_1_68) ).
tcf(c_126,plain,
! [X0: $i,X1: $i] :
( ~ closed(X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_127,plain,
! [X0: $i] :
( closed(X0)
| end_point(ax0_sk6(X0),X0) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_128,plain,
! [X0: $i] :
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] :
( end_point(ax0_sk11(X0,X1),X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i] :
( ~ end_point(X0,X1)
| ( ax0_sk11(X0,X1) != X0 ) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_142,negated_conjecture,
open(sk14),
inference(cnf_transformation,[],[f66]) ).
tcf(c_143,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ end_point(X1,sk14)
| ~ end_point(X0,sk14) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_851,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ end_point(X1,sk14)
| ~ end_point(X0,sk14) ),
inference(demodulation,[status(thm)],[c_143]) ).
tcf(c_852,negated_conjecture,
open(sk14),
inference(demodulation,[status(thm)],[c_142]) ).
tcf(c_1609,plain,
! [X0: $i] :
( ( ax0_sk7(sk14) = X0 )
| ~ open(sk14)
| ~ end_point(X0,sk14) ),
inference(superposition,[status(thm)],[c_128,c_851]) ).
tcf(c_1610,plain,
! [X0: $i] :
( ~ closed(X0)
| ~ open(X0) ),
inference(superposition,[status(thm)],[c_128,c_126]) ).
tcf(c_1620,plain,
! [X0: $i] :
( ( ax0_sk7(sk14) = X0 )
| ~ end_point(X0,sk14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1609,c_852]) ).
tcf(c_1623,plain,
( ~ closed(sk14)
| ~ open(sk14) ),
inference(instantiation,[status(thm)],[c_1610]) ).
tcf(c_1648,plain,
( closed(sk14)
| ( ax0_sk6(sk14) = ax0_sk7(sk14) ) ),
inference(superposition,[status(thm)],[c_127,c_1620]) ).
tcf(c_1652,plain,
ax0_sk6(sk14) = ax0_sk7(sk14),
inference(global_subsumption_just,[status(thm)],[c_1648,c_142,c_1623,c_1648]) ).
tcf(c_1655,plain,
( end_point(ax0_sk6(sk14),sk14)
| ~ open(sk14) ),
inference(superposition,[status(thm)],[c_1652,c_128]) ).
tcf(c_1656,plain,
end_point(ax0_sk6(sk14),sk14),
inference(forward_subsumption_resolution,[status(thm)],[c_1655,c_852]) ).
tcf(c_1776,plain,
! [X0: $i,X1: $i] :
( ( ax0_sk11(X0,sk14) = X1 )
| ~ end_point(X1,sk14)
| ~ end_point(X0,sk14) ),
inference(superposition,[status(thm)],[c_136,c_851]) ).
tcf(c_1816,plain,
! [X0: $i] :
( ( ax0_sk11(ax0_sk6(sk14),sk14) = X0 )
| ~ end_point(X0,sk14) ),
inference(superposition,[status(thm)],[c_1656,c_1776]) ).
tcf(c_1833,plain,
ax0_sk11(ax0_sk6(sk14),sk14) = ax0_sk6(sk14),
inference(superposition,[status(thm)],[c_1656,c_1816]) ).
tcf(c_1974,plain,
~ end_point(ax0_sk6(sk14),sk14),
inference(superposition,[status(thm)],[c_1833,c_137]) ).
tcf(c_1975,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1974,c_1656]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO085-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Wed Sep 23 10:46:36 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.29 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.31 Running first-order theorem proving
% 0.03/0.31 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
% 0.03/0.32
% 0.03/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.32
% 0.03/0.32 % Detected problem language: tptp
% 0.07/0.33 % Proving...
% 2.56/1.05 % SZS status Started for theBenchmark.p
% 2.56/1.05 % SZS status Unsatisfiable for theBenchmark.p
% 2.56/1.05
% 2.56/1.05 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.56/1.05
% 2.56/1.05 % ------ iProver source info
% 2.56/1.05
% 2.56/1.05 % git: date: 2026-07-19 20:42:38 +0200
% 2.56/1.05 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.56/1.05 % git: non_committed_changes: false
% 2.56/1.05
% 2.56/1.05 % ------ Parsing...% successful
% 2.56/1.05
% 2.56/1.05
% 2.56/1.05 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.56/1.05
% 2.56/1.05 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.56/1.05
% 2.56/1.05 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.56/1.05
% 2.56/1.05 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.56/1.05 % ------ Proving...
% 2.56/1.05 % ------ Problem Properties
% 2.56/1.05
% 2.56/1.05 %
% 2.56/1.05 % clauses 45
% 2.56/1.05 % conjectures 2
% 2.56/1.05 % EPR 17
% 2.56/1.05 % Horn 29
% 2.56/1.05 % unary 2
% 2.56/1.05 % binary 18
% 2.56/1.05 % lits 137
% 2.56/1.05 % lits eq 13
% 2.56/1.05 % fd_pure 0
% 2.56/1.05 % fd_pseudo 0
% 2.56/1.05 % fd_cond 0
% 2.56/1.05 % fd_pseudo_cond 8
% 2.56/1.05 % AC symbols 0
% 2.56/1.05
% 2.56/1.05 % ------ Schedule dynamic 5 is on
% 2.56/1.05
% 2.56/1.05 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.56/1.05
% 2.56/1.05
% 2.56/1.05 % ------
% 2.56/1.05 % Current options:
% 2.56/1.05 % ------
% 2.56/1.05
% 2.56/1.05
% 2.56/1.05 %
% 2.56/1.05
% 2.56/1.05 % ------ Proving...
% 2.56/1.05 %
% 2.56/1.05
% 2.56/1.05 % SZS status Unsatisfiable for theBenchmark.p
% 2.56/1.05
% 2.56/1.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.56/1.05
% 2.56/1.05
%------------------------------------------------------------------------------