%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET860-1 : 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 : n006.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 02:48:50 PM UTC 2026
% Result : Unsatisfiable 54.24s 14.47s
% Output : CNFRefutation 54.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 5 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 77 ( 37 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f224,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_Union(X3,X2),X2)
| ~ c_in(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnionI_0) ).
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/sandbox/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/sandbox/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/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(f1434,negated_conjecture,
~ c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1435,negated_conjecture,
~ c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1436,negated_conjecture,
! [X0] :
( ~ c_in(X0,v_C,tc_set(t_a))
| c_lessequals(X0,v_A,tc_set(t_a))
| c_lessequals(v_B,X0,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
tcf(c_1581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X3,c_Union(X1,X2),X2)
| ~ c_in(X3,X0,X2)
| ~ c_in(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_1703,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_1704,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_1712,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_1713,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_1714,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_2000,negated_conjecture,
~ c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a)),
inference(cnf_transformation,[],[f1434]) ).
tcf(c_2001,negated_conjecture,
~ c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a)),
inference(cnf_transformation,[],[f1435]) ).
tcf(c_2002,negated_conjecture,
! [X0: $i] :
( c_lessequals(v_B,X0,tc_set(t_a))
| c_lessequals(X0,v_A,tc_set(t_a))
| ~ c_in(X0,v_C,tc_set(t_a)) ),
inference(cnf_transformation,[],[f1436]) ).
tcf(c_18932,plain,
( c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),c_Union(v_C,t_a),t_a) ),
inference(instantiation,[status(thm)],[c_1713]) ).
tcf(c_18933,plain,
( c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),v_B,t_a) ),
inference(instantiation,[status(thm)],[c_1713]) ).
tcf(c_18934,plain,
( c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_A,t_a) ),
inference(instantiation,[status(thm)],[c_1714]) ).
tcf(c_18935,plain,
( c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),c_Union(v_C,t_a),t_a) ),
inference(instantiation,[status(thm)],[c_1714]) ).
tcf(c_25759,plain,
( c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),t_a)
| ~ c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),c_Union(v_C,t_a),t_a) ),
inference(instantiation,[status(thm)],[c_1704]) ).
tcf(c_25760,plain,
( c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),v_C,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),c_Union(v_C,t_a),t_a) ),
inference(instantiation,[status(thm)],[c_1703]) ).
tcf(c_25770,plain,
! [X0: $i] :
( c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_A,t_a)
| ~ c_lessequals(X0,v_A,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),X0,t_a) ),
inference(instantiation,[status(thm)],[c_1712]) ).
tcf(c_34342,plain,
( c_lessequals(v_B,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),tc_set(t_a))
| c_lessequals(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),v_A,tc_set(t_a))
| ~ c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),v_C,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_2002]) ).
tcf(c_34348,plain,
! [X0: $i] :
( c_in(X0,c_Union(v_C,t_a),t_a)
| ~ c_in(X0,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),t_a)
| ~ c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),v_C,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_1581]) ).
tcf(c_39153,plain,
( c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_A,t_a)
| ~ c_lessequals(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),v_A,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),t_a) ),
inference(instantiation,[status(thm)],[c_25770]) ).
tcf(c_57514,plain,
! [X0: $i] :
( c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),X0,t_a)
| ~ c_lessequals(v_B,X0,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),v_B,t_a) ),
inference(instantiation,[status(thm)],[c_1712]) ).
tcf(c_58900,plain,
( c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),c_Union(v_C,t_a),t_a)
| ~ c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),v_C,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),t_a) ),
inference(instantiation,[status(thm)],[c_34348]) ).
tcf(c_61007,plain,
( c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),t_a)
| ~ c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),v_B,t_a)
| ~ c_lessequals(v_B,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_57514]) ).
tcf(c_61008,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_61007,c_58900,c_39153,c_34342,c_25759,c_25760,c_18935,c_18934,c_18933,c_18932,c_2000,c_2001]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET860-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n006.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 12:16:12 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.43 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
% 0.10/0.44
% 0.10/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.44
% 0.10/0.44 % Detected problem language: tptp
% 0.10/0.45 % Proving...
% 54.24/14.47 % SZS status Started for theBenchmark.p
% 54.24/14.47 % SZS status Unsatisfiable for theBenchmark.p
% 54.24/14.47
% 54.24/14.47 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 54.24/14.47
% 54.24/14.47 % ------ iProver source info
% 54.24/14.47
% 54.24/14.47 % git: date: 2026-07-19 20:42:38 +0200
% 54.24/14.47 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 54.24/14.47 % git: non_committed_changes: false
% 54.24/14.47
% 54.24/14.47 % ------ Parsing...% successful
% 54.24/14.47
% 54.24/14.47
% 54.24/14.47 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 54.24/14.47
% 54.24/14.47 % ------ 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 %
% 54.24/14.47
% 54.24/14.47 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 54.24/14.47
% 54.24/14.47 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 54.24/14.47 % ------ Proving...
% 54.24/14.47 % ------ Problem Properties
% 54.24/14.47
% 54.24/14.47 %
% 54.24/14.47 % clauses 298
% 54.24/14.47 % conjectures 3
% 54.24/14.47 % EPR 26
% 54.24/14.47 % Horn 270
% 54.24/14.47 % unary 77
% 54.24/14.47 % binary 173
% 54.24/14.47 % lits 567
% 54.24/14.47 % lits eq 162
% 54.24/14.47 % fd_pure 0
% 54.24/14.47 % fd_pseudo 0
% 54.24/14.47 % fd_cond 21
% 54.24/14.47 % fd_pseudo_cond 40
% 54.24/14.47 % AC symbols 0
% 54.24/14.47
% 54.24/14.47 % ------ Input Options Time Limit: Unbounded
% 54.24/14.47
% 54.24/14.47
% 54.24/14.47 % ------
% 54.24/14.47 % Current options:
% 54.24/14.47 % ------
% 54.24/14.47
% 54.24/14.47
% 54.24/14.47 %
% 54.24/14.47
% 54.24/14.47 % ------ Proving...
% 54.24/14.47 %
% 54.24/14.47
% 54.24/14.47 % SZS status Unsatisfiable for theBenchmark.p
% 54.24/14.47
% 54.24/14.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 54.24/14.47
% 54.24/14.47
%------------------------------------------------------------------------------