%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU306+2 : 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 : n011.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 02:56:35 PM UTC 2026
% Result : Theorem 8.20s 1.83s
% Output : CNFRefutation 8.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 26 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 5 |; 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 : 9 ( 0 sgn 8 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f76,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(f318,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(f319,negated_conjecture,
~ ! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
inference(negated_conjecture,[status(cth)],[f318]) ).
fof(f598,plain,
! [X0] :
( ~ one_sorted_str(X0)
| cast_as_carrier_subset(X0) = the_carrier(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f804,plain,
? [X0] :
( one_sorted_str(X0)
& the_carrier(X0) != cast_as_carrier_subset(X0) ),
inference(ennf_transformation,[],[f319]) ).
fof(f1455,plain,
( one_sorted_str(sK329)
& the_carrier(sK329) != cast_as_carrier_subset(sK329) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK329]),skolemize(X0,sK329)],[f804]) ).
fof(f1753,plain,
! [X0] :
( ~ one_sorted_str(X0)
| the_carrier(X0) = cast_as_carrier_subset(X0) ),
inference(cnf_transformation,[],[f598]) ).
fof(f2496,plain,
one_sorted_str(sK329),
inference(cnf_transformation,[],[f1455]) ).
fof(f2497,plain,
the_carrier(sK329) != cast_as_carrier_subset(sK329),
inference(cnf_transformation,[],[f1455]) ).
tcf(c_272,plain,
! [X0: $i] :
( ( the_carrier(X0) = cast_as_carrier_subset(X0) )
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1753]) ).
tcf(c_1014,negated_conjecture,
the_carrier(sK329) != cast_as_carrier_subset(sK329),
inference(cnf_transformation,[],[f2497]) ).
tcf(c_1015,negated_conjecture,
one_sorted_str(sK329),
inference(cnf_transformation,[],[f2496]) ).
tcf(c_2541,plain,
! [X0: $i] :
( ( the_carrier(X0) = cast_as_carrier_subset(X0) )
| ~ one_sorted_str(X0) ),
inference(prop_impl_just,[status(thm)],[c_272]) ).
tcf(c_20675,plain,
! [X0: $i] :
( ( the_carrier(X0) = cast_as_carrier_subset(X0) )
| ( X0 != sK329 ) ),
inference(resolution_lifted,[status(thm)],[c_2541,c_1015]) ).
tcf(c_20676,plain,
the_carrier(sK329) = cast_as_carrier_subset(sK329),
inference(unflattening,[status(thm)],[c_20675]) ).
tcf(c_20677,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_20676,c_1014]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU306+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Thu Sep 24 13:37:28 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 0.10/0.40
% 0.10/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.40
% 0.10/0.40 % Detected problem language: tptp
% 0.10/0.41 % Proving...
% 8.20/1.83 % SZS status Started for theBenchmark.p
% 8.20/1.83 % SZS status Theorem for theBenchmark.p
% 8.20/1.83
% 8.20/1.83 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.20/1.83
% 8.20/1.83 % ------ iProver source info
% 8.20/1.83
% 8.20/1.83 % git: date: 2026-07-19 20:42:38 +0200
% 8.20/1.83 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.20/1.83 % git: non_committed_changes: false
% 8.20/1.83
% 8.20/1.83 % ------ Parsing...
% 8.20/1.83 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.20/1.83
% 8.20/1.83 % ------ Preprocessing... sup_sim: 95 sf_s rm: 61 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s%
% 8.20/1.83
% 8.20/1.83 % SZS status Theorem for theBenchmark.p
% 8.20/1.83
% 8.20/1.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.20/1.83
% 8.20/1.83
%------------------------------------------------------------------------------