%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET842-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 02:48:45 PM UTC 2026
% Result : Unsatisfiable 59.85s 13.40s
% Output : CNFRefutation 59.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 4 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 18 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 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; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
fof(f369,axiom,
! [X2,X0,X1] :
( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
| ~ c_in(X0,c_Union(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OUnionE_0) ).
fof(f370,axiom,
! [X2,X0,X1] :
( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
| ~ c_in(X0,c_Union(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OUnionE_1) ).
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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).
fof(f1438,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1439,negated_conjecture,
! [X0] :
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
tcf(c_1706,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
| ~ c_in(X0,c_Union(X1,X2),X2) ),
inference(cnf_transformation,[],[f369]) ).
tcf(c_1707,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
| ~ c_in(X0,c_Union(X1,X2),X2) ),
inference(cnf_transformation,[],[f370]) ).
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_2007,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(cnf_transformation,[],[f1438]) ).
tcf(c_2008,negated_conjecture,
! [X0: $i] :
( c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a))) ),
inference(cnf_transformation,[],[f1439]) ).
tcf(c_20210,plain,
! [X0: $i] :
( c_lessequals(c_Main_OUnionE__1(X0,v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Union(v_Y,tc_set(t_a)),tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_1706,c_2008]) ).
tcf(c_20405,plain,
! [X0: $i,X1: $i] :
( c_in(X0,v_m,tc_set(t_a))
| ~ c_in(X1,c_Union(v_Y,tc_set(t_a)),tc_set(t_a))
| ~ c_in(X0,c_Main_OUnionE__1(X1,v_Y,tc_set(t_a)),tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_20210,c_1715]) ).
tcf(c_20469,plain,
! [X0: $i] :
( c_in(X0,v_m,tc_set(t_a))
| ~ c_in(X0,c_Union(v_Y,tc_set(t_a)),tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_1707,c_20405]) ).
tcf(c_20607,plain,
! [X0: $i] :
( c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))
| c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X0,tc_set(t_a)),v_m,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_1716,c_20469]) ).
tcf(c_20716,plain,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(superposition,[status(thm)],[c_20607,c_1717]) ).
tcf(c_20717,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_20716,c_2007]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET842-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.35 % Computer : n016.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Thu Sep 24 12:14:29 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.39 Running first-order theorem proving
% 0.11/0.39 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
% 0.11/0.40
% 0.11/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.40
% 0.11/0.40 % Detected problem language: tptp
% 0.11/0.41 % Proving...
% 59.85/13.40 % SZS status Started for theBenchmark.p
% 59.85/13.40 % SZS status Unsatisfiable for theBenchmark.p
% 59.85/13.40
% 59.85/13.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 59.85/13.40
% 59.85/13.40 % ------ iProver source info
% 59.85/13.40
% 59.85/13.40 % git: date: 2026-07-19 20:42:38 +0200
% 59.85/13.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 59.85/13.40 % git: non_committed_changes: false
% 59.85/13.40
% 59.85/13.40 % ------ Parsing...% successful
% 59.85/13.40
% 59.85/13.40
% 59.85/13.40 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 59.85/13.40
% 59.85/13.40 % ------ 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 %
% 59.85/13.40
% 59.85/13.40 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 59.85/13.40
% 59.85/13.40 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 59.85/13.40 % ------ Proving...
% 59.85/13.40 % ------ Problem Properties
% 59.85/13.40
% 59.85/13.40 %
% 59.85/13.40 % clauses 301
% 59.85/13.40 % conjectures 5
% 59.85/13.40 % EPR 26
% 59.85/13.40 % Horn 273
% 59.85/13.40 % unary 79
% 59.85/13.40 % binary 174
% 59.85/13.40 % lits 573
% 59.85/13.40 % lits eq 164
% 59.85/13.40 % fd_pure 0
% 59.85/13.40 % fd_pseudo 0
% 59.85/13.40 % fd_cond 21
% 59.85/13.40 % fd_pseudo_cond 41
% 59.85/13.40 % AC symbols 0
% 59.85/13.40
% 59.85/13.40 % ------ Input Options Time Limit: Unbounded
% 59.85/13.40
% 59.85/13.40
% 59.85/13.40 % ------
% 59.85/13.40 % Current options:
% 59.85/13.40 % ------
% 59.85/13.40
% 59.85/13.40
% 59.85/13.40 %
% 59.85/13.40
% 59.85/13.40 % ------ Proving...
% 59.85/13.40 %
% 59.85/13.40
% 59.85/13.40 % SZS status Unsatisfiable for theBenchmark.p
% 59.85/13.40
% 59.85/13.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 59.85/13.40
% 59.85/13.40
%------------------------------------------------------------------------------