%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM533+1 : TPTP v9.3.1. Released v4.0.0.
% 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 02:25:52 PM UTC 2026
% Result : Theorem 1.69s 1.16s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 41 ( 14 unt; 0 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 175 ( 73 ~; 74 |; 22 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 54 !; 3 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f14,axiom,
( aSet0(xC)
& aSet0(xB)
& aSet0(xA) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__522) ).
fof(f15,conjecture,
( ( aSubsetOf0(xB,xC)
& aSubsetOf0(xA,xB) )
=> aSubsetOf0(xA,xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f16,negated_conjecture,
~ ( ( aSubsetOf0(xB,xC)
& aSubsetOf0(xA,xB) )
=> aSubsetOf0(xA,xC) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f25,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f31,plain,
( aSubsetOf0(xB,xC)
& aSubsetOf0(xA,xB)
& ~ aSubsetOf0(xA,xC) ),
inference(ennf_transformation,[],[f16]) ).
fof(f32,plain,
( aSubsetOf0(xB,xC)
& aSubsetOf0(xA,xB)
& ~ aSubsetOf0(xA,xC) ),
inference(flattening,[],[f31]) ).
fof(f37,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) ) )
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f38,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) ) )
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aSet0(X1) ) )
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(rectify,[],[f38]) ).
fof(f40,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aSet0(X1) ) )
& ( ( aElementOf0(sK1(X0,X1),X1)
& ~ aElementOf0(sK1(X0,X1),X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f39]) ).
fof(f45,plain,
! [X3,X0,X1] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f46,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| aSet0(X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f47,plain,
! [X0,X1] :
( ~ aSet0(X0)
| aElementOf0(sK1(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f48,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(sK1(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f52,plain,
aSet0(xC),
inference(cnf_transformation,[],[f14]) ).
fof(f54,plain,
aSet0(xA),
inference(cnf_transformation,[],[f14]) ).
fof(f55,plain,
aSubsetOf0(xB,xC),
inference(cnf_transformation,[],[f32]) ).
fof(f56,plain,
aSubsetOf0(xA,xB),
inference(cnf_transformation,[],[f32]) ).
fof(f57,plain,
~ aSubsetOf0(xA,xC),
inference(cnf_transformation,[],[f32]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK1(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( aSet0(X0)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_60,plain,
aSet0(xA),
inference(cnf_transformation,[],[f54]) ).
tcf(c_62,plain,
aSet0(xC),
inference(cnf_transformation,[],[f52]) ).
tcf(c_63,negated_conjecture,
~ aSubsetOf0(xA,xC),
inference(cnf_transformation,[],[f57]) ).
tcf(c_64,negated_conjecture,
aSubsetOf0(xA,xB),
inference(cnf_transformation,[],[f56]) ).
tcf(c_65,negated_conjecture,
aSubsetOf0(xB,xC),
inference(cnf_transformation,[],[f55]) ).
tcf(c_323,negated_conjecture,
aSubsetOf0(xB,xC),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_324,negated_conjecture,
aSubsetOf0(xA,xB),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_325,negated_conjecture,
~ aSubsetOf0(xA,xC),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_575,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X0,X2)
| aElementOf0(sK1(X2,X0),X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_56]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X0,X2)
| aElementOf0(sK1(X2,X0),X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_575,c_55,c_575]) ).
tcf(c_665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aSubsetOf0(X0,X3)
| aElementOf0(sK1(X3,X0),X2)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_651,c_56]) ).
tcf(c_747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aSubsetOf0(X0,X3)
| aElementOf0(sK1(X3,X0),X2)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_665,c_55]) ).
tcf(c_767,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xA,X1)
| aElementOf0(sK1(X1,xA),X0)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(xB,X0) ),
inference(superposition,[status(thm)],[c_324,c_747]) ).
tcf(c_828,plain,
! [X0: $i] :
( aSubsetOf0(xA,X0)
| ~ aSet0(xA)
| ~ aSet0(X0)
| ~ aSubsetOf0(xB,X0) ),
inference(superposition,[status(thm)],[c_767,c_53]) ).
tcf(c_830,plain,
! [X0: $i] :
( aSubsetOf0(xA,X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(xB,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_828,c_60]) ).
tcf(c_856,plain,
( aSubsetOf0(xA,xC)
| ~ aSet0(xC) ),
inference(superposition,[status(thm)],[c_323,c_830]) ).
tcf(c_857,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_856,c_325,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM533+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 04:29:28 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 1.69/1.16 % SZS status Started for theBenchmark.p
% 1.69/1.16 % SZS status Theorem for theBenchmark.p
% 1.69/1.16
% 1.69/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.69/1.16
% 1.69/1.16 % ------ iProver source info
% 1.69/1.16
% 1.69/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 1.69/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.69/1.16 % git: non_committed_changes: false
% 1.69/1.16
% 1.69/1.16 % ------ Parsing...
% 1.69/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.69/1.16
% 1.69/1.16 % ------ Preprocessing... sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 1.69/1.16
% 1.69/1.16 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.69/1.16
% 1.69/1.16 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.69/1.16 % ------ Proving...
% 1.69/1.16 % ------ Problem Properties
% 1.69/1.16
% 1.69/1.16 %
% 1.69/1.16 % clauses 15
% 1.69/1.16 % conjectures 3
% 1.69/1.16 % EPR 12
% 1.69/1.16 % Horn 13
% 1.69/1.16 % unary 8
% 1.69/1.16 % binary 1
% 1.69/1.16 % lits 32
% 1.69/1.16 % lits eq 2
% 1.69/1.16 % fd_pure 0
% 1.69/1.16 % fd_pseudo 0
% 1.69/1.16 % fd_cond 1
% 1.69/1.16 % fd_pseudo_cond 1
% 1.69/1.16 % AC symbols 0
% 1.69/1.16
% 1.69/1.16 % ------ Schedule dynamic 5 is on
% 1.69/1.16
% 1.69/1.16 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.69/1.16
% 1.69/1.16
% 1.69/1.16 % ------
% 1.69/1.16 % Current options:
% 1.69/1.16 % ------
% 1.69/1.16
% 1.69/1.16
% 1.69/1.16 %
% 1.69/1.16
% 1.69/1.16 % ------ Proving...
% 1.69/1.16 %
% 1.69/1.16
% 1.69/1.16 % SZS status Theorem for theBenchmark.p
% 1.69/1.16
% 1.69/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.69/1.16
% 1.69/1.16
%------------------------------------------------------------------------------