%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO578+1 : TPTP v9.3.1. Released v5.5.0.
% 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 03:51:27 PM UTC 2026
% Result : Theorem 2.14s 1.26s
% Output : CNFRefutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 137 ( 49 ~; 45 |; 36 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 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 : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 42 ( 0 sgn 27 !; 15 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
( ? [X1] :
( ~ k04_buttercup10100(X1)
& b48_buttercup10098(X1) )
& ! [X0] :
( k04_buttercup10100(X0)
=> b48_buttercup10098(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(f86,conjecture,
( ! [X7] :
( k04_buttercup10100(X7)
=> ~ b48_buttercup10098(X7) )
| ? [X4,X5,X6] :
( b48_buttercup10098(X6)
& ~ k04_buttercup10100(X6)
& ~ b48_buttercup10098(X5)
& k04_buttercup10100(X5)
& b48_buttercup10098(X4)
& k04_buttercup10100(X4) )
| ( ? [X3] :
( ~ k04_buttercup10100(X3)
& b48_buttercup10098(X3) )
& ! [X2] :
( k04_buttercup10100(X2)
=> b48_buttercup10098(X2) ) )
| ( ? [X1] :
( ~ b48_buttercup10098(X1)
& k04_buttercup10100(X1) )
& ! [X0] :
( b48_buttercup10098(X0)
=> k04_buttercup10100(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_86) ).
fof(f87,negated_conjecture,
~ ( ! [X7] :
( k04_buttercup10100(X7)
=> ~ b48_buttercup10098(X7) )
| ? [X4,X5,X6] :
( b48_buttercup10098(X6)
& ~ k04_buttercup10100(X6)
& ~ b48_buttercup10098(X5)
& k04_buttercup10100(X5)
& b48_buttercup10098(X4)
& k04_buttercup10100(X4) )
| ( ? [X3] :
( ~ k04_buttercup10100(X3)
& b48_buttercup10098(X3) )
& ! [X2] :
( k04_buttercup10100(X2)
=> b48_buttercup10098(X2) ) )
| ( ? [X1] :
( ~ b48_buttercup10098(X1)
& k04_buttercup10100(X1) )
& ! [X0] :
( b48_buttercup10098(X0)
=> k04_buttercup10100(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f86]) ).
fof(f108,plain,
( ? [X1] :
( ~ k04_buttercup10100(X1)
& b48_buttercup10098(X1) )
& ! [X0] :
( ~ k04_buttercup10100(X0)
| b48_buttercup10098(X0) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f162,plain,
( ? [X7] :
( k04_buttercup10100(X7)
& b48_buttercup10098(X7) )
& ! [X4,X5,X6] :
( ~ b48_buttercup10098(X6)
| k04_buttercup10100(X6)
| b48_buttercup10098(X5)
| ~ k04_buttercup10100(X5)
| ~ b48_buttercup10098(X4)
| ~ k04_buttercup10100(X4) )
& ( ! [X3] :
( k04_buttercup10100(X3)
| ~ b48_buttercup10098(X3) )
| ? [X2] :
( k04_buttercup10100(X2)
& ~ b48_buttercup10098(X2) ) )
& ( ! [X1] :
( b48_buttercup10098(X1)
| ~ k04_buttercup10100(X1) )
| ? [X0] :
( b48_buttercup10098(X0)
& ~ k04_buttercup10100(X0) ) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f225,plain,
( ~ k04_buttercup10100(sK45)
& b48_buttercup10098(sK45)
& ! [X0] :
( ~ k04_buttercup10100(X0)
| b48_buttercup10098(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(X1,sK45)],[f108]) ).
fof(f254,plain,
( k04_buttercup10100(sK71)
& b48_buttercup10098(sK71)
& ! [X4,X5,X6] :
( ~ b48_buttercup10098(X6)
| k04_buttercup10100(X6)
| b48_buttercup10098(X5)
| ~ k04_buttercup10100(X5)
| ~ b48_buttercup10098(X4)
| ~ k04_buttercup10100(X4) )
& ( ! [X3] :
( k04_buttercup10100(X3)
| ~ b48_buttercup10098(X3) )
| ( k04_buttercup10100(sK70)
& ~ b48_buttercup10098(sK70) ) )
& ( ! [X1] :
( b48_buttercup10098(X1)
| ~ k04_buttercup10100(X1) )
| ( b48_buttercup10098(sK69)
& ~ k04_buttercup10100(sK69) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69,sK70,sK71]),skolemize(X0,sK69),skolemize(X2,sK70),skolemize(X7,sK71)],[f162]) ).
fof(f342,plain,
~ k04_buttercup10100(sK45),
inference(cnf_transformation,[],[f225]) ).
fof(f343,plain,
b48_buttercup10098(sK45),
inference(cnf_transformation,[],[f225]) ).
fof(f344,plain,
! [X0] :
( ~ k04_buttercup10100(X0)
| b48_buttercup10098(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f437,plain,
! [X3] :
( k04_buttercup10100(X3)
| ~ b48_buttercup10098(X3)
| k04_buttercup10100(sK70) ),
inference(cnf_transformation,[],[f254]) ).
fof(f438,plain,
! [X3] :
( k04_buttercup10100(X3)
| ~ b48_buttercup10098(X3)
| ~ b48_buttercup10098(sK70) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_136,plain,
! [X0: $i] :
( b48_buttercup10098(X0)
| ~ k04_buttercup10100(X0) ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_137,plain,
b48_buttercup10098(sK45),
inference(cnf_transformation,[],[f343]) ).
tcf(c_138,plain,
~ k04_buttercup10100(sK45),
inference(cnf_transformation,[],[f342]) ).
tcf(c_230,negated_conjecture,
! [X0: $i] :
( k04_buttercup10100(X0)
| ~ b48_buttercup10098(sK70)
| ~ b48_buttercup10098(X0) ),
inference(cnf_transformation,[],[f438]) ).
tcf(c_231,negated_conjecture,
! [X0: $i] :
( k04_buttercup10100(sK70)
| k04_buttercup10100(X0)
| ~ b48_buttercup10098(X0) ),
inference(cnf_transformation,[],[f437]) ).
tcf(c_2160,negated_conjecture,
! [X0: $i] :
( k04_buttercup10100(sK70)
| k04_buttercup10100(X0)
| ~ b48_buttercup10098(X0) ),
inference(demodulation,[status(thm)],[c_231]) ).
tcf(c_2161,negated_conjecture,
! [X0: $i] :
( k04_buttercup10100(X0)
| ~ b48_buttercup10098(sK70)
| ~ b48_buttercup10098(X0) ),
inference(demodulation,[status(thm)],[c_230]) ).
tcf(c_2164,plain,
( k04_buttercup10100(sK70)
| k04_buttercup10100(sK45)
| ~ b48_buttercup10098(sK45) ),
inference(instantiation,[status(thm)],[c_2160]) ).
tcf(c_2188,plain,
( b48_buttercup10098(sK70)
| ~ k04_buttercup10100(sK70) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_2206,plain,
( k04_buttercup10100(sK45)
| ~ b48_buttercup10098(sK70)
| ~ b48_buttercup10098(sK45) ),
inference(instantiation,[status(thm)],[c_2161]) ).
tcf(c_2207,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2206,c_2188,c_2164,c_138,c_137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO578+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 03:05:08 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 2.14/1.26 % SZS status Started for theBenchmark.p
% 2.14/1.26 % SZS status Theorem for theBenchmark.p
% 2.14/1.26
% 2.14/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.14/1.26
% 2.14/1.26 % ------ iProver source info
% 2.14/1.26
% 2.14/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 2.14/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.14/1.26 % git: non_committed_changes: false
% 2.14/1.26
% 2.14/1.26 % ------ Parsing...
% 2.14/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.14/1.26 %
% 2.14/1.26
% 2.14/1.26 % ------ Preprocessing... sf_s rm: 56 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.14/1.26
% 2.14/1.26 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.14/1.26 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.14/1.26 % ------ Proving...
% 2.14/1.26 % ------ Problem Properties
% 2.14/1.26
% 2.14/1.26 %
% 2.14/1.26 % clauses 42
% 2.14/1.26 % conjectures 4
% 2.14/1.26 % EPR 42
% 2.14/1.26 % Horn 41
% 2.14/1.26 % unary 39
% 2.14/1.26 % binary 1
% 2.14/1.26 % lits 47
% 2.14/1.26 % lits eq 0
% 2.14/1.26 % fd_pure 0
% 2.14/1.26 % fd_pseudo 0
% 2.14/1.26 % fd_cond 0
% 2.14/1.26 % fd_pseudo_cond 0
% 2.14/1.26 % AC symbols 0
% 2.14/1.26
% 2.14/1.26 % ------ Schedule EPR non Horn non eq is on
% 2.14/1.26
% 2.14/1.26 % ------ no equalities: superposition off
% 2.14/1.26
% 2.14/1.26 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.14/1.26
% 2.14/1.26
% 2.14/1.26 % ------
% 2.14/1.26 % Current options:
% 2.14/1.26 % ------
% 2.14/1.26
% 2.14/1.26
% 2.14/1.26 %
% 2.14/1.26
% 2.14/1.26 % ------ Proving...
% 2.14/1.26 %
% 2.14/1.26
% 2.14/1.26 % SZS status Theorem for theBenchmark.p
% 2.14/1.26
% 2.14/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.14/1.26
% 2.14/1.26
%------------------------------------------------------------------------------