%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM014-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.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 02:23:14 PM UTC 2026
% Result : Unsatisfiable 2.42s 1.53s
% Output : CNFRefutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 41 ( 19 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(X0,X0,square(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',square) ).
fof(f3,axiom,
! [X2,X0,X1] :
( divides(X0,X2)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( divides(X0,X2)
| divides(X0,X1)
| ~ divides(X0,X3)
| ~ product(X1,X2,X3)
| ~ prime(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',remainder) ).
fof(f5,axiom,
prime(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_prime) ).
fof(f6,axiom,
product(a,square(c),square(b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b_squared_by_c_squared) ).
fof(f7,negated_conjecture,
~ divides(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_divides_b) ).
tcf(c_56,plain,
! [X0: $i] : product(X0,X0,square(X0)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( divides(X0,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( divides(X3,X1)
| divides(X3,X0)
| ~ prime(X3)
| ~ divides(X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,plain,
prime(a),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,plain,
product(a,square(c),square(b)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,negated_conjecture,
~ divides(a,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( divides(a,X1)
| divides(a,X0)
| ~ divides(a,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_59,c_60]) ).
tcf(c_131,plain,
( divides(a,square(b))
| ~ product(a,square(c),square(b)) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] :
( divides(a,X1)
| divides(a,X0)
| ~ divides(a,square(b))
| ~ product(X0,X1,square(b)) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_144,plain,
! [X0: $i] :
( divides(a,b)
| divides(a,X0)
| ~ divides(a,square(b))
| ~ product(b,X0,square(b)) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_149,plain,
( divides(a,b)
| ~ divides(a,square(b))
| ~ product(b,b,square(b)) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_153,plain,
product(b,b,square(b)),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_154,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_153,c_149,c_131,c_61,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.46 % Computer : n005.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Thu Sep 24 02:39:33 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 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
% 0.23/0.54
% 0.23/0.54 % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.54
% 0.23/0.54 % Detected problem language: tptp
% 0.23/0.56 % Proving...
% 2.42/1.53 % SZS status Started for theBenchmark.p
% 2.42/1.53 % SZS status Unsatisfiable for theBenchmark.p
% 2.42/1.53
% 2.42/1.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.42/1.53
% 2.42/1.53 % ------ iProver source info
% 2.42/1.53
% 2.42/1.53 % git: date: 2026-07-19 20:42:38 +0200
% 2.42/1.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.42/1.53 % git: non_committed_changes: false
% 2.42/1.53
% 2.42/1.53 % ------ Parsing...% successful
% 2.42/1.53
% 2.42/1.53
% 2.42/1.53 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.42/1.53
% 2.42/1.53 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.42/1.53
% 2.42/1.53 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.42/1.53 % ------ Proving...
% 2.42/1.53 % ------ Problem Properties
% 2.42/1.53
% 2.42/1.53 %
% 2.42/1.53 % clauses 6
% 2.42/1.53 % conjectures 1
% 2.42/1.53 % EPR 4
% 2.42/1.53 % Horn 5
% 2.42/1.53 % unary 3
% 2.42/1.53 % binary 2
% 2.42/1.53 % lits 11
% 2.42/1.53 % lits eq 0
% 2.42/1.53 % fd_pure 0
% 2.42/1.53 % fd_pseudo 0
% 2.42/1.53 % fd_cond 0
% 2.42/1.53 % fd_pseudo_cond 0
% 2.42/1.53 % AC symbols 0
% 2.42/1.53
% 2.42/1.53 % ------ Schedule dynamic 5 is on
% 2.42/1.53
% 2.42/1.53 % ------ no equalities: superposition off
% 2.42/1.53
% 2.42/1.53 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.42/1.53
% 2.42/1.53
% 2.42/1.53 % ------
% 2.42/1.53 % Current options:
% 2.42/1.53 % ------
% 2.42/1.53
% 2.42/1.53
% 2.42/1.53 %
% 2.42/1.53
% 2.42/1.53 % ------ Proving...
% 2.42/1.53 %
% 2.42/1.53
% 2.42/1.53 % SZS status Unsatisfiable for theBenchmark.p
% 2.42/1.53
% 2.42/1.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.42/1.53
% 2.42/1.53
%------------------------------------------------------------------------------