%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET834-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 02:48:43 PM UTC 2026
% Result : Unsatisfiable 65.36s 11.46s
% Output : CNFRefutation 65.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 53 ( 19 unt; 0 def)
% Number of atoms : 101 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 86 ( 38 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 101 ( 0 sgn 101 !; 0 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
fof(f215,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_0) ).
fof(f216,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_1) ).
fof(f217,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X1,X3)
| c_in(X0,X2,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnE_0) ).
fof(f374,axiom,
! [X2,X0,X1] :
( X0 = X1
| c_less(X0,X1,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetI_0) ).
fof(f378,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).
fof(f379,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).
fof(f380,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).
fof(f381,axiom,
! [X2,X0,X1] :
( X1 = X0
| ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__antisym_0) ).
fof(f382,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(reorient_equations,[],[f381]) ).
fof(f1434,negated_conjecture,
c_lessequals(v_Y,v_X,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1435,negated_conjecture,
c_lessequals(v_Z,v_X,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1436,negated_conjecture,
c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1437,negated_conjecture,
~ c_in(v_x,v_Z,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1438,negated_conjecture,
~ c_in(v_x,v_Y,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1439,negated_conjecture,
! [X0] :
( ~ c_lessequals(v_Y,X0,tc_set(t_a))
| ~ c_lessequals(v_Z,X0,tc_set(t_a))
| c_lessequals(v_X,X0,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
tcf(c_1578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_1579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_1580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X2,X3)
| c_in(X0,X1,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_1711,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_less(X0,X1,tc_set(X2))
| ( X0 = X1 )
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[],[f374]) ).
tcf(c_1715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X3,X1,X2)
| ~ c_in(X3,X0,X2)
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[],[f378]) ).
tcf(c_1716,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
inference(cnf_transformation,[],[f379]) ).
tcf(c_1717,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f380]) ).
tcf(c_1718,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_2003,negated_conjecture,
c_lessequals(v_Y,v_X,tc_set(t_a)),
inference(cnf_transformation,[],[f1434]) ).
tcf(c_2004,negated_conjecture,
c_lessequals(v_Z,v_X,tc_set(t_a)),
inference(cnf_transformation,[],[f1435]) ).
tcf(c_2005,negated_conjecture,
c_in(v_x,v_X,t_a),
inference(cnf_transformation,[],[f1436]) ).
tcf(c_2006,negated_conjecture,
~ c_in(v_x,v_Z,t_a),
inference(cnf_transformation,[],[f1437]) ).
tcf(c_2007,negated_conjecture,
~ c_in(v_x,v_Y,t_a),
inference(cnf_transformation,[],[f1438]) ).
tcf(c_2008,negated_conjecture,
! [X0: $i] :
( c_lessequals(v_X,X0,tc_set(t_a))
| ~ c_lessequals(v_Z,X0,tc_set(t_a))
| ~ c_lessequals(v_Y,X0,tc_set(t_a)) ),
inference(cnf_transformation,[],[f1439]) ).
tcf(c_22090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3) ),
inference(superposition,[status(thm)],[c_1578,c_1717]) ).
tcf(c_22091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3) ),
inference(superposition,[status(thm)],[c_1579,c_1717]) ).
tcf(c_22175,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(superposition,[status(thm)],[c_1716,c_22090]) ).
tcf(c_22194,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(superposition,[status(thm)],[c_1716,c_22091]) ).
tcf(c_22230,plain,
! [X0: $i] :
( c_lessequals(v_X,c_union(X0,v_Z,t_a),tc_set(t_a))
| ~ c_lessequals(v_Y,c_union(X0,v_Z,t_a),tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_22175,c_2008]) ).
tcf(c_22243,plain,
c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a)),
inference(superposition,[status(thm)],[c_22194,c_22230]) ).
tcf(c_28156,plain,
( ( c_union(v_Y,v_Z,t_a) = v_X )
| ~ c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_22243,c_1718]) ).
tcf(c_29332,plain,
! [X0: $i] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,v_Y,t_a) ),
inference(superposition,[status(thm)],[c_2003,c_1715]) ).
tcf(c_29333,plain,
! [X0: $i] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,v_Z,t_a) ),
inference(superposition,[status(thm)],[c_2004,c_1715]) ).
tcf(c_29417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X1,X2)
| c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X0,X2) ),
inference(superposition,[status(thm)],[c_1716,c_1580]) ).
tcf(c_30657,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_union(X0,v_Z,t_a),X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),X1,t_a),v_X,t_a)
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),X1,t_a),X0,t_a) ),
inference(superposition,[status(thm)],[c_29417,c_29333]) ).
tcf(c_31010,plain,
! [X0: $i] :
( c_lessequals(c_union(v_Y,v_Z,t_a),X0,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Y,v_Z,t_a),X0,t_a),v_X,t_a) ),
inference(superposition,[status(thm)],[c_30657,c_29332]) ).
tcf(c_31040,plain,
c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a)),
inference(superposition,[status(thm)],[c_31010,c_1717]) ).
tcf(c_42739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3) ),
inference(superposition,[status(thm)],[c_1578,c_1717]) ).
tcf(c_42740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3) ),
inference(superposition,[status(thm)],[c_1579,c_1717]) ).
tcf(c_42772,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(superposition,[status(thm)],[c_1716,c_42739]) ).
tcf(c_42785,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(superposition,[status(thm)],[c_1716,c_42740]) ).
tcf(c_42814,plain,
! [X0: $i] :
( c_lessequals(v_X,c_union(X0,v_Z,t_a),tc_set(t_a))
| ~ c_lessequals(v_Y,c_union(X0,v_Z,t_a),tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_42772,c_2008]) ).
tcf(c_42824,plain,
c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a)),
inference(superposition,[status(thm)],[c_42785,c_42814]) ).
tcf(c_43527,plain,
( c_less(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a))
| ( c_union(v_Y,v_Z,t_a) = v_X ) ),
inference(superposition,[status(thm)],[c_42824,c_1711]) ).
tcf(c_43631,plain,
c_union(v_Y,v_Z,t_a) = v_X,
inference(global_subsumption_just,[status(thm)],[c_43527,c_28156,c_31040]) ).
tcf(c_43790,plain,
! [X0: $i] :
( c_in(X0,v_Z,t_a)
| c_in(X0,v_Y,t_a)
| ~ c_in(X0,v_X,t_a) ),
inference(superposition,[status(thm)],[c_43631,c_1580]) ).
tcf(c_43878,plain,
( c_in(v_x,v_Z,t_a)
| c_in(v_x,v_Y,t_a) ),
inference(superposition,[status(thm)],[c_2005,c_43790]) ).
tcf(c_43885,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_43878,c_2006,c_2007]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET834-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 12:05:38 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 65.36/11.46 % SZS status Started for theBenchmark.p
% 65.36/11.46 % SZS status Unsatisfiable for theBenchmark.p
% 65.36/11.46
% 65.36/11.46 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 65.36/11.46
% 65.36/11.46 % ------ iProver source info
% 65.36/11.46
% 65.36/11.46 % git: date: 2026-07-19 20:42:38 +0200
% 65.36/11.46 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 65.36/11.46 % git: non_committed_changes: false
% 65.36/11.46
% 65.36/11.46 % ------ Parsing...% successful
% 65.36/11.46
% 65.36/11.46
% 65.36/11.46 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 65.36/11.46
% 65.36/11.46 % ------ Preprocessing... sup_sim: 1 sf_s rm: 18 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 0 sf_s rm: 30 0s sf_e pe_s pe_e %
% 65.36/11.46
% 65.36/11.46 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 65.36/11.46
% 65.36/11.46 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 65.36/11.46 % ------ Proving...
% 65.36/11.46 % ------ Problem Properties
% 65.36/11.46
% 65.36/11.46 %
% 65.36/11.46 % clauses 301
% 65.36/11.46 % conjectures 6
% 65.36/11.46 % EPR 29
% 65.36/11.46 % Horn 274
% 65.36/11.46 % unary 80
% 65.36/11.46 % binary 173
% 65.36/11.46 % lits 570
% 65.36/11.46 % lits eq 162
% 65.36/11.46 % fd_pure 0
% 65.36/11.46 % fd_pseudo 0
% 65.36/11.46 % fd_cond 21
% 65.36/11.46 % fd_pseudo_cond 40
% 65.36/11.46 % AC symbols 0
% 65.36/11.46
% 65.36/11.46 % ------ Input Options Time Limit: Unbounded
% 65.36/11.46
% 65.36/11.46
% 65.36/11.46 % ------
% 65.36/11.46 % Current options:
% 65.36/11.46 % ------
% 65.36/11.46
% 65.36/11.46
% 65.36/11.46 %
% 65.36/11.46
% 65.36/11.46 % ------ Proving...
% 65.36/11.46 %
% 65.36/11.46
% 65.36/11.46 % SZS status Unsatisfiable for theBenchmark.p
% 65.36/11.46
% 65.36/11.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 65.36/11.46
% 65.36/11.46
%------------------------------------------------------------------------------