%------------------------------------------------------------------------------
% 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 : n008.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 : Theorem 3.65s 6.28s
% Output : CNFRefutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 31 ( 6 unt; 0 def)
% Number of atoms : 71 ( 17 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 35 ~; 26 |; 9 &)
% ( 1 <=>; 4 =>; 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 35 !; 10 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( open(X0)
<=> ? [X1] : end_point(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',open_defn) ).
fof(f13,axiom,
! [X0,X1] :
( end_point(X1,X0)
=> ? [X2] :
( X1 != X2
& end_point(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c6) ).
fof(f17,conjecture,
! [X0] :
( open(X0)
=> ? [X1,X2] :
( end_point(X2,X0)
& end_point(X1,X0)
& X1 != X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_7_1) ).
fof(f18,negated_conjecture,
~ ! [X0] :
( open(X0)
=> ? [X1,X2] :
( end_point(X2,X0)
& end_point(X1,X0)
& X1 != X2 ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0] :
( open(X0)
=> ? [X1] : end_point(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f27,plain,
! [X0] :
( ~ open(X0)
| ? [X1] : end_point(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f35,plain,
! [X0,X1] :
( ~ end_point(X1,X0)
| ? [X2] :
( X1 != X2
& end_point(X2,X0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f40,plain,
? [X0] :
( open(X0)
& ! [X1,X2] :
( ~ end_point(X2,X0)
| ~ end_point(X1,X0)
| X1 = X2 ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f59,plain,
! [X0] :
( ~ open(X0)
| end_point(sK6(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f27]) ).
fof(f62,plain,
! [X0,X1] :
( ~ end_point(X1,X0)
| ( sK10(X0,X1) != X1
& end_point(sK10(X0,X1),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f35]) ).
fof(f67,plain,
( open(sK13)
& ! [X1,X2] :
( ~ end_point(X2,sK13)
| ~ end_point(X1,sK13)
| X1 = X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X0,sK13)],[f40]) ).
fof(f96,plain,
! [X0] :
( ~ open(X0)
| end_point(sK6(X0),X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f103,plain,
! [X0,X1] :
( ~ end_point(X1,X0)
| sK10(X0,X1) != X1 ),
inference(cnf_transformation,[],[f62]) ).
fof(f104,plain,
! [X0,X1] :
( ~ end_point(X1,X0)
| end_point(sK10(X0,X1),X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f109,plain,
open(sK13),
inference(cnf_transformation,[],[f67]) ).
fof(f110,plain,
! [X2,X1] :
( ~ end_point(X2,sK13)
| ~ end_point(X1,sK13)
| X1 = X2 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_77,plain,
! [X0: $i] :
( end_point(sK6(X0),X0)
| ~ open(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( end_point(sK10(X1,X0),X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( ~ end_point(X1,X0)
| ( sK10(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_90,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ end_point(X1,sK13)
| ~ end_point(X0,sK13) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_91,negated_conjecture,
open(sK13),
inference(cnf_transformation,[],[f109]) ).
tcf(c_94,plain,
( end_point(sK6(sK13),sK13)
| ~ open(sK13) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_761,negated_conjecture,
open(sK13),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_762,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ end_point(X1,sK13)
| ~ end_point(X0,sK13) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_1487,plain,
! [X0: $i] :
( ( sK6(sK13) = X0 )
| ~ open(sK13)
| ~ end_point(X0,sK13) ),
inference(superposition,[status(thm)],[c_77,c_762]) ).
tcf(c_1493,plain,
! [X0: $i] :
( ( sK6(sK13) = X0 )
| ~ end_point(X0,sK13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1487,c_761]) ).
tcf(c_1572,plain,
! [X0: $i] :
( ( sK10(sK13,X0) = sK6(sK13) )
| ~ end_point(X0,sK13) ),
inference(superposition,[status(thm)],[c_84,c_1493]) ).
tcf(c_1597,plain,
( ( sK10(sK13,sK6(sK13)) = sK6(sK13) )
| ~ open(sK13) ),
inference(superposition,[status(thm)],[c_77,c_1572]) ).
tcf(c_1601,plain,
sK10(sK13,sK6(sK13)) = sK6(sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_1597,c_761]) ).
tcf(c_1693,plain,
~ end_point(sK6(sK13),sK13),
inference(superposition,[status(thm)],[c_1601,c_85]) ).
tcf(c_1694,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1693,c_94,c_91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO085+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.36 % Computer : n008.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Wed Sep 23 10:47:32 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 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
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.42 % Detected problem language: tptp
% 0.14/5.43 % Proving...
% 3.65/6.28 % SZS status Started for theBenchmark.p
% 3.65/6.28 % SZS status Theorem for theBenchmark.p
% 3.65/6.28
% 3.65/6.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.65/6.28
% 3.65/6.28 % ------ iProver source info
% 3.65/6.28
% 3.65/6.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.65/6.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.65/6.28 % git: non_committed_changes: false
% 3.65/6.28
% 3.65/6.28 % ------ Parsing...
% 3.65/6.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.65/6.28
% 3.65/6.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.65/6.28
% 3.65/6.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.65/6.28
% 3.65/6.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.65/6.28 % ------ Proving...
% 3.65/6.28 % ------ Problem Properties
% 3.65/6.28
% 3.65/6.28 %
% 3.65/6.28 % clauses 43
% 3.65/6.28 % conjectures 2
% 3.65/6.28 % EPR 15
% 3.65/6.28 % Horn 27
% 3.65/6.28 % unary 2
% 3.65/6.28 % binary 16
% 3.65/6.28 % lits 133
% 3.65/6.28 % lits eq 13
% 3.65/6.28 % fd_pure 0
% 3.65/6.28 % fd_pseudo 0
% 3.65/6.28 % fd_cond 0
% 3.65/6.28 % fd_pseudo_cond 8
% 3.65/6.28 % AC symbols 0
% 3.65/6.28
% 3.65/6.28 % ------ Schedule dynamic 5 is on
% 3.65/6.28
% 3.65/6.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.65/6.28
% 3.65/6.28
% 3.65/6.28 % ------
% 3.65/6.28 % Current options:
% 3.65/6.28 % ------
% 3.65/6.28
% 3.65/6.28
% 3.65/6.28 %
% 3.65/6.28
% 3.65/6.28 % ------ Proving...
% 3.65/6.28 %
% 3.65/6.28
% 3.65/6.28 % SZS status Theorem for theBenchmark.p
% 3.65/6.28
% 3.65/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.65/6.28
% 3.65/6.28
%------------------------------------------------------------------------------