%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 03:16:12 PM UTC 2026
% Result : Unsatisfiable 2.05s 1.28s
% Output : CNFRefutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 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 : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] : less_than(X0,successor(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',less_than_successor) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ less_than(X2,X1)
| ~ less_than(X0,X2)
| less_than(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',transitivity_of_less_than) ).
fof(f9,axiom,
! [X0] : ~ less_than(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',x_not_less_than_x) ).
fof(f17,negated_conjecture,
less_than(i,n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f19,negated_conjecture,
less_than(a(i),a(m)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f20,negated_conjecture,
! [X0] :
( ~ less_than(a(X0),a(m))
| ~ less_than(X0,successor(n))
| less_than(X0,i) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
tcf(c_74,plain,
! [X0: $i] : less_than(X0,successor(X0)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_77,plain,
! [X0: $i] : ~ less_than(X0,X0),
inference(cnf_transformation,[],[f9]) ).
tcf(c_81,negated_conjecture,
less_than(i,n),
inference(cnf_transformation,[],[f17]) ).
tcf(c_83,negated_conjecture,
less_than(a(i),a(m)),
inference(cnf_transformation,[],[f19]) ).
tcf(c_84,negated_conjecture,
! [X0: $i] :
( less_than(X0,i)
| ~ less_than(X0,successor(n))
| ~ less_than(a(X0),a(m)) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_87,plain,
~ less_than(i,i),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_95,plain,
( less_than(i,i)
| ~ less_than(i,successor(n))
| ~ less_than(a(i),a(m)) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_926,plain,
! [X0: $i] :
( less_than(i,X0)
| ~ less_than(i,n)
| ~ less_than(n,X0) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_1041,plain,
( less_than(i,successor(n))
| ~ less_than(i,n)
| ~ less_than(n,successor(n)) ),
inference(instantiation,[status(thm)],[c_926]) ).
tcf(c_1042,plain,
less_than(n,successor(n)),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_1043,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1042,c_1041,c_95,c_83,c_87,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 18:20:12 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 2.05/1.28 % SZS status Started for theBenchmark.p
% 2.05/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.05/1.28
% 2.05/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.05/1.28
% 2.05/1.28 % ------ iProver source info
% 2.05/1.28
% 2.05/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.05/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.05/1.28 % git: non_committed_changes: false
% 2.05/1.28
% 2.05/1.28 % ------ Parsing...% successful
% 2.05/1.28
% 2.05/1.28
% 2.05/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.05/1.28
% 2.05/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.05/1.28
% 2.05/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.05/1.28
% 2.05/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.05/1.28 % ------ Proving...
% 2.05/1.28 % ------ Problem Properties
% 2.05/1.28
% 2.05/1.28 %
% 2.05/1.28 % clauses 23
% 2.05/1.28 % conjectures 8
% 2.05/1.28 % EPR 9
% 2.05/1.28 % Horn 21
% 2.05/1.28 % unary 15
% 2.05/1.28 % binary 3
% 2.05/1.28 % lits 37
% 2.05/1.28 % lits eq 12
% 2.05/1.28 % fd_pure 0
% 2.05/1.28 % fd_pseudo 0
% 2.05/1.28 % fd_cond 0
% 2.05/1.28 % fd_pseudo_cond 3
% 2.05/1.28 % AC symbols 0
% 2.05/1.28
% 2.05/1.28 % ------ Schedule dynamic 5 is on
% 2.05/1.28
% 2.05/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.05/1.28
% 2.05/1.28
% 2.05/1.28 % ------
% 2.05/1.28 % Current options:
% 2.05/1.28 % ------
% 2.05/1.28
% 2.05/1.28
% 2.05/1.28 %
% 2.05/1.28
% 2.05/1.28 % ------ Proving...
% 2.05/1.28 %
% 2.05/1.28
% 2.05/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.05/1.28
% 2.05/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.05/1.28
% 2.05/1.28
%------------------------------------------------------------------------------