%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET658+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.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 02:47:43 PM UTC 2026
% Result : Theorem 3.56s 1.14s
% Output : CNFRefutation 3.56s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f145ERROR: Could not build tree for root c_5226ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(domain_of(X1),X0)
=> ilf_type(X1,relation_type(X0,range_of(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> subset(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).
fof(f28,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28) ).
fof(f29,conjecture,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(X0,relation_type(domain_of(X0),range_of(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_20) ).
fof(f30,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(X0,relation_type(domain_of(X0),range_of(X0))) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ~ subset(domain_of(X1),X0)
| ilf_type(X1,relation_type(X0,range_of(X1))) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f32,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ~ subset(domain_of(X1),X0)
| ilf_type(X1,relation_type(X0,range_of(X1))) ) ),
inference(flattening,[],[f31]) ).
fof(f37,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f46,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| subset(X0,X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f64,plain,
? [X0] :
( ilf_type(X0,binary_relation_type)
& ~ ilf_type(X0,relation_type(domain_of(X0),range_of(X0))) ),
inference(ennf_transformation,[],[f30]) ).
fof(f71,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ ilf_type(X0,binary_relation_type)
| ( ilf_type(X0,set_type)
& relation_like(X0) ) )
& ( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f72,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ ilf_type(X0,binary_relation_type)
| ( ilf_type(X0,set_type)
& relation_like(X0) ) )
& ( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ) ) ),
inference(flattening,[],[f71]) ).
fof(f91,plain,
( ilf_type(sK12,binary_relation_type)
& ~ ilf_type(sK12,relation_type(domain_of(sK12),range_of(sK12))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X0,sK12)],[f64]) ).
fof(f92,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ subset(domain_of(X1),X0)
| ilf_type(X1,relation_type(X0,range_of(X1))) ),
inference(cnf_transformation,[],[f32]) ).
fof(f102,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,binary_relation_type)
| relation_like(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f117,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| subset(X0,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f142,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f28]) ).
fof(f143,plain,
ilf_type(sK12,binary_relation_type),
inference(cnf_transformation,[],[f91]) ).
fof(f144,plain,
~ ilf_type(sK12,relation_type(domain_of(sK12),range_of(sK12))),
inference(cnf_transformation,[],[f91]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,relation_type(X1,range_of(X0)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,binary_relation_type)
| ~ subset(domain_of(X0),X1) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_58,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_59,plain,
! [X0: $i] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_73,plain,
! [X0: $i] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_98,plain,
! [X0: $i] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f142]) ).
tcf(c_99,negated_conjecture,
~ ilf_type(sK12,relation_type(domain_of(sK12),range_of(sK12))),
inference(cnf_transformation,[],[f144]) ).
tcf(c_100,negated_conjecture,
ilf_type(sK12,binary_relation_type),
inference(cnf_transformation,[],[f143]) ).
tcf(c_145,plain,
! [X0: $i] : subset(X0,X0),
inference(global_subsumption_just,[status(thm)],[c_73,c_98,c_73]) ).
tcf(c_172,plain,
! [X0: $i] :
( relation_like(X0)
| ~ ilf_type(X0,binary_relation_type) ),
inference(global_subsumption_just,[status(thm)],[c_59,c_98,c_59]) ).
tcf(c_175,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_98,c_58]) ).
tcf(c_259,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(prop_impl_just,[status(thm)],[c_175]) ).
tcf(c_386,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,relation_type(X1,range_of(X0)))
| ~ relation_like(X0)
| ~ ilf_type(X1,set_type)
| ~ subset(domain_of(X0),X1) ),
inference(bin_hyper_res,[status(thm)],[c_49,c_259]) ).
tcf(c_403,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,relation_type(X1,range_of(X0)))
| ~ relation_like(X0)
| ~ subset(domain_of(X0),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_386,c_98]) ).
tcf(c_1156,plain,
! [X0: $i] :
( ~ ilf_type(X0,binary_relation_type)
| relation_like(X0) ),
inference(prop_impl_just,[status(thm)],[c_172]) ).
tcf(c_1157,plain,
! [X0: $i] :
( relation_like(X0)
| ~ ilf_type(X0,binary_relation_type) ),
inference(renaming,[status(thm)],[c_1156]) ).
tcf(c_1941,definition,
iPr_def_10 = domain_of(sK12),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1942,definition,
iPr_def_11 = range_of(sK12),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1943,definition,
iPr_def_12 = relation_type(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1944,negated_conjecture,
ilf_type(sK12,binary_relation_type),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_1945,negated_conjecture,
~ ilf_type(sK12,iPr_def_12),
inference(demodulation,[status(thm)],[c_99,c_1942,c_1941,c_1943]) ).
tcf(c_2795,plain,
relation_like(sK12),
inference(superposition,[status(thm)],[c_1944,c_1157]) ).
tcf(c_5187,plain,
! [X0: $i] :
( ilf_type(sK12,relation_type(X0,iPr_def_11))
| ~ relation_like(sK12)
| ~ subset(domain_of(sK12),X0) ),
inference(superposition,[status(thm)],[c_1942,c_403]) ).
tcf(c_5191,plain,
! [X0: $i] :
( ilf_type(sK12,relation_type(X0,iPr_def_11))
| ~ relation_like(sK12)
| ~ subset(iPr_def_10,X0) ),
inference(light_normalisation,[status(thm)],[c_5187,c_1941]) ).
tcf(c_5192,plain,
! [X0: $i] :
( ilf_type(sK12,relation_type(X0,iPr_def_11))
| ~ subset(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5191,c_2795]) ).
tcf(c_5222,plain,
( ilf_type(sK12,iPr_def_12)
| ~ subset(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_1943,c_5192]) ).
tcf(c_5226,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5222,c_1945,c_145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET658+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n002.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Thu Sep 24 11:38:06 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.37 Running first-order theorem proving
% 0.13/0.37 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
% 0.13/0.38
% 0.13/0.38 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.38
% 0.13/0.38 % Detected problem language: tptp
% 0.13/0.40 % Proving...
% 3.56/1.14 % SZS status Started for theBenchmark.p
% 3.56/1.14 % SZS status Theorem for theBenchmark.p
% 3.56/1.14
% 3.56/1.14 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.56/1.14
% 3.56/1.14 % ------ iProver source info
% 3.56/1.14
% 3.56/1.14 % git: date: 2026-07-19 20:42:38 +0200
% 3.56/1.14 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.56/1.14 % git: non_committed_changes: false
% 3.56/1.14
% 3.56/1.14 % ------ Parsing...
% 3.56/1.14 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.56/1.14
% 3.56/1.14 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.56/1.14
% 3.56/1.14 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.56/1.14
% 3.56/1.14 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.56/1.14 % ------ Proving...
% 3.56/1.14 % ------ Problem Properties
% 3.56/1.14
% 3.56/1.14 %
% 3.56/1.14 % clauses 42
% 3.56/1.14 % conjectures 2
% 3.56/1.14 % EPR 10
% 3.56/1.14 % Horn 36
% 3.56/1.14 % unary 11
% 3.56/1.14 % binary 22
% 3.56/1.14 % lits 82
% 3.56/1.14 % lits eq 7
% 3.56/1.14 % fd_pure 0
% 3.56/1.14 % fd_pseudo 0
% 3.56/1.14 % fd_cond 0
% 3.56/1.14 % fd_pseudo_cond 0
% 3.56/1.14 % AC symbols 0
% 3.56/1.14
% 3.56/1.14 % ------ Schedule dynamic 5 is on
% 3.56/1.14
% 3.56/1.14 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.56/1.14
% 3.56/1.14
% 3.56/1.14 % ------
% 3.56/1.14 % Current options:
% 3.56/1.14 % ------
% 3.56/1.14
% 3.56/1.14
% 3.56/1.14 %
% 3.56/1.14
% 3.56/1.14 % ------ Proving...
% 3.56/1.14 %
% 3.56/1.14
% 3.56/1.14 % SZS status Theorem for theBenchmark.p
% 3.56/1.14
% 3.56/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.56/1.14
% 3.56/1.14
%------------------------------------------------------------------------------