%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU306+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n007.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 02:56:34 PM UTC 2026
% Result : Theorem 1.91s 1.51s
% Output : CNFRefutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 24 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 4 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 7 !; 1 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f40,conjecture,
! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f41,negated_conjecture,
~ ! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f82,plain,
! [X0] :
( ~ one_sorted_str(X0)
| cast_as_carrier_subset(X0) = the_carrier(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f83,plain,
? [X0] :
( one_sorted_str(X0)
& cast_as_carrier_subset(X0) != the_carrier(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f89,plain,
( one_sorted_str(sK5)
& cast_as_carrier_subset(sK5) != the_carrier(sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f83]) ).
fof(f144,plain,
! [X0] :
( ~ one_sorted_str(X0)
| cast_as_carrier_subset(X0) = the_carrier(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f145,plain,
one_sorted_str(sK5),
inference(cnf_transformation,[],[f89]) ).
fof(f146,plain,
cast_as_carrier_subset(sK5) != the_carrier(sK5),
inference(cnf_transformation,[],[f89]) ).
tcf(c_103,plain,
! [X0: $i] :
( ( cast_as_carrier_subset(X0) = the_carrier(X0) )
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_104,negated_conjecture,
cast_as_carrier_subset(sK5) != the_carrier(sK5),
inference(cnf_transformation,[],[f146]) ).
tcf(c_105,negated_conjecture,
one_sorted_str(sK5),
inference(cnf_transformation,[],[f145]) ).
tcf(c_559,plain,
! [X0: $i] :
( ( cast_as_carrier_subset(X0) = the_carrier(X0) )
| ( X0 != sK5 ) ),
inference(resolution_lifted,[status(thm)],[c_103,c_105]) ).
tcf(c_560,plain,
cast_as_carrier_subset(sK5) = the_carrier(sK5),
inference(unflattening,[status(thm)],[c_559]) ).
tcf(c_561,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_560,c_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU306+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.44 % Computer : n007.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Thu Sep 24 13:35:38 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.50 Running first-order theorem proving
% 0.17/0.50 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
% 0.26/0.52
% 0.26/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.26/0.52
% 0.26/0.52 % Detected problem language: tptp
% 0.26/0.54 % Proving...
% 1.91/1.51 % SZS status Started for theBenchmark.p
% 1.91/1.51 % SZS status Theorem for theBenchmark.p
% 1.91/1.51
% 1.91/1.51 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.91/1.51
% 1.91/1.51 % ------ iProver source info
% 1.91/1.51
% 1.91/1.51 % git: date: 2026-07-19 20:42:38 +0200
% 1.91/1.51 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.91/1.51 % git: non_committed_changes: false
% 1.91/1.51
% 1.91/1.51 % ------ Parsing...
% 1.91/1.51 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.91/1.51
% 1.91/1.51 % ------ Preprocessing... sup_sim: 0 sf_s rm: 40 0s sf_e pe_s pe:1:0s%
% 1.91/1.51
% 1.91/1.51 % SZS status Theorem for theBenchmark.p
% 1.91/1.51
% 1.91/1.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.91/1.51
% 1.91/1.51
%------------------------------------------------------------------------------