%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU264+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 02:56:24 PM UTC 2026
% Result : Theorem 1.54s 26.10s
% Output : CNFRefutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 16 unt; 1 def)
% Number of atoms : 106 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 97 ( 44 ~; 34 |; 10 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 99 ( 0 sgn 91 !; 8 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f14,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_relset_1) ).
fof(f16,conjecture,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_relset_1) ).
fof(f17,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ relation_of2_as_subset(X2,X0,X1)
| ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X0)
| ~ subset(relation_rng(X3),X1)
| relation_of2_as_subset(X3,X2,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X0)
| ~ subset(relation_rng(X3),X1)
| relation_of2_as_subset(X3,X2,X1) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
? [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
& subset(X0,X1)
& ~ relation_of2_as_subset(X3,X2,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f27,plain,
? [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
& subset(X0,X1)
& ~ relation_of2_as_subset(X3,X2,X1) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(flattening,[],[f28]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) )
& ( ~ relation_of2(X2,X0,X1)
| relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f34,plain,
( relation_of2_as_subset(sK6,sK5,sK3)
& subset(sK3,sK4)
& ~ relation_of2_as_subset(sK6,sK5,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f27]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| subset(relation_rng(X2),X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X3,X2,X0)
| ~ subset(relation_rng(X3),X1)
| relation_of2_as_subset(X3,X2,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
relation_of2_as_subset(sK6,sK5,sK3),
inference(cnf_transformation,[],[f34]) ).
fof(f47,plain,
subset(sK3,sK4),
inference(cnf_transformation,[],[f34]) ).
fof(f48,plain,
~ relation_of2_as_subset(sK6,sK5,sK4),
inference(cnf_transformation,[],[f34]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2_as_subset(X0,X1,X2)
| ~ relation_of2(X0,X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(relation_rng(X0),X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( relation_of2_as_subset(X0,X1,X3)
| ~ subset(relation_rng(X0),X3)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_59,negated_conjecture,
~ relation_of2_as_subset(sK6,sK5,sK4),
inference(cnf_transformation,[],[f48]) ).
tcf(c_60,negated_conjecture,
subset(sK3,sK4),
inference(cnf_transformation,[],[f47]) ).
tcf(c_61,negated_conjecture,
relation_of2_as_subset(sK6,sK5,sK3),
inference(cnf_transformation,[],[f46]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation_of2(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_75]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2_as_subset(X0,X1,X2)
| ~ relation_of2(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_53]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(relation_rng(X0),X2)
| ~ relation_of2(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_57,c_53]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( relation_of2_as_subset(X0,X1,X3)
| ~ subset(relation_rng(X0),X3)
| ~ relation_of2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_58,c_77]) ).
tcf(c_217,plain,
relation_of2(sK6,sK5,sK3),
inference(resolution,[status(thm)],[c_76,c_61]) ).
tcf(c_221,plain,
! [X0: $i] :
( ~ subset(relation_rng(sK6),sK4)
| ~ relation_of2(sK6,sK5,X0) ),
inference(resolution,[status(thm)],[c_121,c_59]) ).
tcf(c_222,plain,
( ~ subset(relation_rng(sK6),sK4)
| ~ relation_of2(sK6,sK5,sK3) ),
inference(instantiation,[status(thm)],[c_221]) ).
tcf(c_223,plain,
~ subset(relation_rng(sK6),sK4),
inference(global_subsumption_just,[status(thm)],[c_221,c_217,c_222]) ).
tcf(c_275,definition,
iPr_def_10 = relation_rng(sK6),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_276,plain,
~ subset(iPr_def_10,sK4),
inference(demodulation,[status(thm)],[c_223,c_275]) ).
tcf(c_277,plain,
relation_of2(sK6,sK5,sK3),
inference(demodulation,[status(thm)],[c_217]) ).
tcf(c_279,negated_conjecture,
subset(sK3,sK4),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_458,plain,
subset(relation_rng(sK6),sK3),
inference(superposition,[status(thm)],[c_277,c_87]) ).
tcf(c_459,plain,
subset(iPr_def_10,sK3),
inference(light_normalisation,[status(thm)],[c_458,c_275]) ).
tcf(c_469,plain,
! [X0: $i] :
( subset(X0,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_279,c_62]) ).
tcf(c_500,plain,
subset(iPr_def_10,sK4),
inference(superposition,[status(thm)],[c_459,c_469]) ).
tcf(c_501,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_500,c_276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU264+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.05/25.34 % Computer : n012.cluster.edu
% 0.05/25.34 % Model : x86_64 x86_64
% 0.05/25.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/25.34 % Memory : 8046.5625MB
% 0.05/25.34 % OS : Linux 6.8.0-71-generic
% 0.05/25.34 % CPULimit : 300
% 0.05/25.34 % WCLimit : 300
% 0.05/25.34 % DateTime : Thu Sep 24 13:27:34 UTC 2026
% 0.05/25.34 % CPUTime :
% 0.05/25.34 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.05/25.36 Running first-order theorem proving
% 0.05/25.36 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
% 0.05/25.36
% 0.05/25.36 % ======== iProver multi-core TPTP/SMT =========
% 0.05/25.36
% 0.05/25.37 % Detected problem language: tptp
% 0.05/25.37 % Proving...
% 1.54/26.10 % SZS status Started for theBenchmark.p
% 1.54/26.10 % SZS status Theorem for theBenchmark.p
% 1.54/26.10
% 1.54/26.10 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.54/26.10
% 1.54/26.10 % ------ iProver source info
% 1.54/26.10
% 1.54/26.10 % git: date: 2026-07-19 20:42:38 +0200
% 1.54/26.10 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.54/26.10 % git: non_committed_changes: false
% 1.54/26.10
% 1.54/26.10 % ------ Parsing...
% 1.54/26.10 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.54/26.10
% 1.54/26.10 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.54/26.10
% 1.54/26.10 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.54/26.10
% 1.54/26.10 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.54/26.10 % ------ Proving...
% 1.54/26.10 % ------ Problem Properties
% 1.54/26.10
% 1.54/26.10 %
% 1.54/26.10 % clauses 14
% 1.54/26.10 % conjectures 1
% 1.54/26.10 % EPR 6
% 1.54/26.10 % Horn 14
% 1.54/26.10 % unary 9
% 1.54/26.10 % binary 3
% 1.54/26.10 % lits 21
% 1.54/26.10 % lits eq 1
% 1.54/26.10 % fd_pure 0
% 1.54/26.10 % fd_pseudo 0
% 1.54/26.10 % fd_cond 0
% 1.54/26.10 % fd_pseudo_cond 0
% 1.54/26.10 % AC symbols 0
% 1.54/26.10
% 1.54/26.10 % ------ Schedule dynamic 5 is on
% 1.54/26.10
% 1.54/26.10 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.54/26.10
% 1.54/26.10
% 1.54/26.10 % ------
% 1.54/26.10 % Current options:
% 1.54/26.10 % ------
% 1.54/26.10
% 1.54/26.10
% 1.54/26.10 %
% 1.54/26.10
% 1.54/26.10 % ------ Proving...
% 1.54/26.10 %
% 1.54/26.10
% 1.54/26.10 % SZS status Theorem for theBenchmark.p
% 1.54/26.10
% 1.54/26.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.54/26.10
% 1.54/26.10
%------------------------------------------------------------------------------