%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO580+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 03:51:27 PM UTC 2026
% Result : Theorem 2.94s 1.37s
% Output : CNFRefutation 2.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 154 ( 55 ~; 52 |; 35 &)
% ( 3 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 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 : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 47 ( 0 sgn 33 !; 14 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f132,axiom,
! [X0] :
( b48_buttercup10305(X0)
=> b48_buttercup10300(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_132) ).
fof(f320,axiom,
( ? [X1] :
( ~ b48_buttercup10305(X1)
& k04_buttercup10303(X1) )
& ! [X0] :
( b48_buttercup10305(X0)
=> k04_buttercup10303(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_320) ).
fof(f322,axiom,
! [X0] :
( k04_buttercup10303(X0)
<=> b48_buttercup10300(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_322) ).
fof(f886,conjecture,
( ! [X5] :
( b48_buttercup10305(X5)
=> ~ k04_buttercup10303(X5) )
| ( ? [X4] :
( ~ b48_buttercup10305(X4)
& k04_buttercup10303(X4) )
& ! [X3] :
( b48_buttercup10305(X3)
=> k04_buttercup10303(X3) ) )
| ( ? [X2] :
( ~ k04_buttercup10303(X2)
& b48_buttercup10305(X2) )
& ! [X1] :
( k04_buttercup10303(X1)
=> b48_buttercup10305(X1) ) )
| ! [X0] :
( b48_buttercup10305(X0)
<=> k04_buttercup10303(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_886) ).
fof(f887,negated_conjecture,
~ ( ! [X5] :
( b48_buttercup10305(X5)
=> ~ k04_buttercup10303(X5) )
| ( ? [X4] :
( ~ b48_buttercup10305(X4)
& k04_buttercup10303(X4) )
& ! [X3] :
( b48_buttercup10305(X3)
=> k04_buttercup10303(X3) ) )
| ( ? [X2] :
( ~ k04_buttercup10303(X2)
& b48_buttercup10305(X2) )
& ! [X1] :
( k04_buttercup10303(X1)
=> b48_buttercup10305(X1) ) )
| ! [X0] :
( b48_buttercup10305(X0)
<=> k04_buttercup10303(X0) ) ),
inference(negated_conjecture,[status(cth)],[f886]) ).
fof(f891,plain,
( ? [X5] :
( b48_buttercup10305(X5)
& k04_buttercup10303(X5) )
& ( ! [X4] :
( b48_buttercup10305(X4)
| ~ k04_buttercup10303(X4) )
| ? [X3] :
( b48_buttercup10305(X3)
& ~ k04_buttercup10303(X3) ) )
& ( ! [X2] :
( k04_buttercup10303(X2)
| ~ b48_buttercup10305(X2) )
| ? [X1] :
( k04_buttercup10303(X1)
& ~ b48_buttercup10305(X1) ) )
& ? [X0] :
( b48_buttercup10305(X0)
<~> k04_buttercup10303(X0) ) ),
inference(ennf_transformation,[],[f887]) ).
fof(f893,plain,
( ? [X1] :
( ~ b48_buttercup10305(X1)
& k04_buttercup10303(X1) )
& ! [X0] :
( ~ b48_buttercup10305(X0)
| k04_buttercup10303(X0) ) ),
inference(ennf_transformation,[],[f320]) ).
fof(f894,plain,
! [X0] :
( ~ b48_buttercup10305(X0)
| b48_buttercup10300(X0) ),
inference(ennf_transformation,[],[f132]) ).
fof(f895,plain,
( ? [X5] :
( b48_buttercup10305(X5)
& k04_buttercup10303(X5) )
& ( ! [X4] :
( b48_buttercup10305(X4)
| ~ k04_buttercup10303(X4) )
| ? [X3] :
( b48_buttercup10305(X3)
& ~ k04_buttercup10303(X3) ) )
& ( ! [X2] :
( k04_buttercup10303(X2)
| ~ b48_buttercup10305(X2) )
| ? [X1] :
( k04_buttercup10303(X1)
& ~ b48_buttercup10305(X1) ) )
& ? [X0] :
( ( b48_buttercup10305(X0)
| k04_buttercup10303(X0) )
& ( ~ b48_buttercup10305(X0)
| ~ k04_buttercup10303(X0) ) ) ),
inference(nnf_transformation,[],[f891]) ).
fof(f896,plain,
( b48_buttercup10305(sK3)
& k04_buttercup10303(sK3)
& ( ! [X4] :
( b48_buttercup10305(X4)
| ~ k04_buttercup10303(X4) )
| ( b48_buttercup10305(sK2)
& ~ k04_buttercup10303(sK2) ) )
& ( ! [X2] :
( k04_buttercup10303(X2)
| ~ b48_buttercup10305(X2) )
| ( k04_buttercup10303(sK1)
& ~ b48_buttercup10305(sK1) ) )
& ( b48_buttercup10305(sK0)
| k04_buttercup10303(sK0) )
& ( ~ b48_buttercup10305(sK0)
| ~ k04_buttercup10303(sK0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X3,sK2),skolemize(X5,sK3)],[f895]) ).
fof(f898,plain,
! [X0] :
( ( ~ k04_buttercup10303(X0)
| b48_buttercup10300(X0) )
& ( ~ b48_buttercup10300(X0)
| k04_buttercup10303(X0) ) ),
inference(nnf_transformation,[],[f322]) ).
fof(f900,plain,
( ~ b48_buttercup10305(sK6)
& k04_buttercup10303(sK6)
& ! [X0] :
( ~ b48_buttercup10305(X0)
| k04_buttercup10303(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6)],[f893]) ).
fof(f907,plain,
! [X4] :
( b48_buttercup10305(X4)
| ~ k04_buttercup10303(X4)
| b48_buttercup10305(sK2) ),
inference(cnf_transformation,[],[f896]) ).
fof(f908,plain,
! [X4] :
( b48_buttercup10305(X4)
| ~ k04_buttercup10303(X4)
| ~ k04_buttercup10303(sK2) ),
inference(cnf_transformation,[],[f896]) ).
fof(f911,plain,
( b48_buttercup10305(sK0)
| k04_buttercup10303(sK0) ),
inference(cnf_transformation,[],[f896]) ).
fof(f912,plain,
( ~ b48_buttercup10305(sK0)
| ~ k04_buttercup10303(sK0) ),
inference(cnf_transformation,[],[f896]) ).
fof(f915,plain,
! [X0] :
( ~ b48_buttercup10300(X0)
| k04_buttercup10303(X0) ),
inference(cnf_transformation,[],[f898]) ).
fof(f920,plain,
! [X0] :
( ~ b48_buttercup10305(X0)
| k04_buttercup10303(X0) ),
inference(cnf_transformation,[],[f900]) ).
fof(f921,plain,
! [X0] :
( ~ b48_buttercup10305(X0)
| b48_buttercup10300(X0) ),
inference(cnf_transformation,[],[f894]) ).
tcf(c_49,negated_conjecture,
( ~ b48_buttercup10305(sK0)
| ~ k04_buttercup10303(sK0) ),
inference(cnf_transformation,[],[f912]) ).
tcf(c_50,negated_conjecture,
( b48_buttercup10305(sK0)
| k04_buttercup10303(sK0) ),
inference(cnf_transformation,[],[f911]) ).
tcf(c_53,negated_conjecture,
! [X0: $i] :
( b48_buttercup10305(X0)
| ~ k04_buttercup10303(sK2)
| ~ k04_buttercup10303(X0) ),
inference(cnf_transformation,[],[f908]) ).
tcf(c_54,negated_conjecture,
! [X0: $i] :
( b48_buttercup10305(sK2)
| b48_buttercup10305(X0)
| ~ k04_buttercup10303(X0) ),
inference(cnf_transformation,[],[f907]) ).
tcf(c_58,plain,
! [X0: $i] :
( k04_buttercup10303(X0)
| ~ b48_buttercup10300(X0) ),
inference(cnf_transformation,[],[f915]) ).
tcf(c_62,plain,
! [X0: $i] :
( k04_buttercup10303(X0)
| ~ b48_buttercup10305(X0) ),
inference(cnf_transformation,[],[f920]) ).
tcf(c_65,plain,
! [X0: $i] :
( b48_buttercup10300(X0)
| ~ b48_buttercup10305(X0) ),
inference(cnf_transformation,[],[f921]) ).
tcf(c_70,plain,
( k04_buttercup10303(sK0)
| ~ b48_buttercup10305(sK0) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_74,plain,
( b48_buttercup10305(sK2)
| b48_buttercup10305(sK0)
| ~ k04_buttercup10303(sK0) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_75,plain,
( b48_buttercup10305(sK0)
| ~ k04_buttercup10303(sK2)
| ~ k04_buttercup10303(sK0) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_76,negated_conjecture,
k04_buttercup10303(sK0),
inference(global_subsumption_just,[status(thm)],[c_50,c_50,c_70]) ).
tcf(c_80,negated_conjecture,
b48_buttercup10305(sK2),
inference(global_subsumption_just,[status(thm)],[c_54,c_50,c_70,c_49,c_74]) ).
tcf(c_84,negated_conjecture,
~ k04_buttercup10303(sK2),
inference(global_subsumption_just,[status(thm)],[c_53,c_49,c_75,c_76]) ).
tcf(c_90,plain,
! [X0: $i] :
( k04_buttercup10303(X0)
| ~ b48_buttercup10300(X0) ),
inference(prop_impl_just,[status(thm)],[c_58]) ).
tcf(c_92,plain,
! [X0: $i] :
( b48_buttercup10300(X0)
| ~ b48_buttercup10305(X0) ),
inference(prop_impl_just,[status(thm)],[c_65]) ).
tcf(c_169,plain,
b48_buttercup10300(sK2),
inference(resolution,[status(thm)],[c_92,c_80]) ).
tcf(c_189,plain,
~ b48_buttercup10300(sK2),
inference(resolution,[status(thm)],[c_90,c_84]) ).
tcf(c_190,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_189,c_169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYO580+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.41 % Computer : n011.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Fri Sep 25 03:06:44 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.46 Running first-order theorem proving
% 0.14/0.46 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
% 0.14/0.48
% 0.14/0.48 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.48
% 0.14/0.48 % Detected problem language: tptp
% 0.22/0.50 % Proving...
% 2.94/1.37 % SZS status Started for theBenchmark.p
% 2.94/1.37 % SZS status Theorem for theBenchmark.p
% 2.94/1.37
% 2.94/1.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.94/1.37
% 2.94/1.37 % ------ iProver source info
% 2.94/1.37
% 2.94/1.37 % git: date: 2026-07-19 20:42:38 +0200
% 2.94/1.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.94/1.37 % git: non_committed_changes: false
% 2.94/1.37
% 2.94/1.37 % ------ Parsing...
% 2.94/1.37 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.94/1.37 %
% 2.94/1.37
% 2.94/1.37 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s%
% 2.94/1.37
% 2.94/1.37 % SZS status Theorem for theBenchmark.p
% 2.94/1.37
% 2.94/1.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.94/1.37
% 2.94/1.37
%------------------------------------------------------------------------------