%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR031+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.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 01:09:59 PM UTC 2026
% Result : Theorem 1.17s 1.17s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 27 ( 17 ~; 8 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
~ ( individual(X0)
& collection(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).
fof(f6,axiom,
individual(c_tptptptpcol_16_8398),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).
fof(f34,axiom,
! [X0,X1] :
( disjointwith(X0,X1)
=> collection(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
fof(f56,conjecture,
~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query31) ).
fof(f57,negated_conjecture,
~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f58,plain,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(flattening,[],[f57]) ).
fof(f69,plain,
! [X0] :
( ~ individual(X0)
| ~ collection(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f95,plain,
! [X0,X1] :
( ~ disjointwith(X0,X1)
| collection(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f114,plain,
! [X0] :
( ~ individual(X0)
| ~ collection(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f116,plain,
individual(c_tptptptpcol_16_8398),
inference(cnf_transformation,[],[f6]) ).
fof(f139,plain,
! [X0,X1] :
( ~ disjointwith(X0,X1)
| collection(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f156,plain,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(cnf_transformation,[],[f58]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ individual(X0)
| ~ collection(X0) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_54,plain,
individual(c_tptptptpcol_16_8398),
inference(cnf_transformation,[],[f116]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( collection(X0)
| ~ disjointwith(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_94,negated_conjecture,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(cnf_transformation,[],[f156]) ).
tcf(c_293,negated_conjecture,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(subtyping,[status(esa)],[c_94]) ).
tcf(c_298,plain,
! [X0_iProver_disjointwith_2: iProver_disjointwith_2,X1_iProver_disjointwith_2: iProver_disjointwith_2] :
( collection(X0_iProver_disjointwith_2)
| ~ disjointwith(X0_iProver_disjointwith_2,X1_iProver_disjointwith_2) ),
inference(subtyping,[status(esa)],[c_77]) ).
tcf(c_309,plain,
! [X0_iProver_disjointwith_2: iProver_disjointwith_2] :
( ~ individual(X0_iProver_disjointwith_2)
| ~ collection(X0_iProver_disjointwith_2) ),
inference(subtyping,[status(esa)],[c_52]) ).
tcf(c_311,negated_conjecture,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(demodulation,[status(thm)],[c_293]) ).
tcf(c_314,plain,
collection(c_tptptptpcol_16_8398),
inference(resolution,[status(thm)],[c_298,c_311]) ).
tcf(c_348,plain,
~ individual(c_tptptptpcol_16_8398),
inference(resolution,[status(thm)],[c_309,c_314]) ).
tcf(c_349,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_348,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR031+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 25 08:14:59 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 1.17/1.17 % SZS status Started for theBenchmark.p
% 1.17/1.17 % SZS status Theorem for theBenchmark.p
% 1.17/1.17
% 1.17/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.17/1.17
% 1.17/1.17 % ------ iProver source info
% 1.17/1.17
% 1.17/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.17/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.17/1.17 % git: non_committed_changes: false
% 1.17/1.17
% 1.17/1.17 % ------ Parsing...
% 1.17/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.17/1.17 %
% 1.17/1.17
% 1.17/1.17 % ------ Preprocessing... sf_s rm: 18 0s sf_e sf_s rm: 0 0s sf_e %
% 1.17/1.17
% 1.17/1.17 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.17/1.17 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.17/1.17 % ------ Proving...
% 1.17/1.17 % ------ Problem Properties
% 1.17/1.17
% 1.17/1.17 %
% 1.17/1.17 % clauses 18
% 1.17/1.17 % conjectures 1
% 1.17/1.17 % EPR 18
% 1.17/1.17 % Horn 18
% 1.17/1.17 % unary 5
% 1.17/1.17 % binary 12
% 1.17/1.17 % lits 32
% 1.17/1.17 % lits eq 0
% 1.17/1.17 % fd_pure 0
% 1.17/1.17 % fd_pseudo 0
% 1.17/1.17 % fd_cond 0
% 1.17/1.17 % fd_pseudo_cond 0
% 1.17/1.17 % AC symbols 0
% 1.17/1.17
% 1.17/1.17 % ------ Schedule EPR Horn non eq is on
% 1.17/1.17
% 1.17/1.17 % ------ no equalities: superposition off
% 1.17/1.17
% 1.17/1.17 % ------ Option_epr_horn Time Limit: Unbounded
% 1.17/1.17
% 1.17/1.17
% 1.17/1.17 % ------
% 1.17/1.17 % Current options:
% 1.17/1.17 % ------
% 1.17/1.17
% 1.17/1.17
% 1.17/1.17 %
% 1.17/1.17
% 1.17/1.17 % ------ Proving...
% 1.17/1.17 %
% 1.17/1.17
% 1.17/1.17 % SZS status Theorem for theBenchmark.p
% 1.17/1.17
% 1.17/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.17/1.17
% 1.17/1.17
%------------------------------------------------------------------------------