%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET830-1 : 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 02:48:42 PM UTC 2026
% Result : Unsatisfiable 62.69s 11.99s
% Output : CNFRefutation 62.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 10 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 60 ( 29 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 63 ( 0 sgn 63 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
fof(f207,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X2,X3)
| ~ c_in(X0,c_inter(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OIntE_0) ).
fof(f208,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X1,X3)
| ~ c_in(X0,c_inter(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OIntE_1) ).
fof(f209,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_inter(X3,X1,X2),X2)
| ~ c_in(X0,X3,X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OIntI_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(f1436,negated_conjecture,
c_in(v_x,v_Y,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_X,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1439,negated_conjecture,
! [X0] :
( ~ c_lessequals(X0,v_Y,tc_set(t_a))
| ~ c_lessequals(X0,v_Z,tc_set(t_a))
| c_lessequals(X0,v_X,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
tcf(c_1571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X2,X3)
| ~ c_in(X0,c_inter(X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_1572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X1,X3)
| ~ c_in(X0,c_inter(X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_1573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_inter(X3,X1,X2),X2)
| ~ c_in(X0,X3,X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f209]) ).
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_2005,negated_conjecture,
c_in(v_x,v_Y,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_X,t_a),
inference(cnf_transformation,[],[f1438]) ).
tcf(c_2008,negated_conjecture,
! [X0: $i] :
( c_lessequals(X0,v_X,tc_set(t_a))
| ~ c_lessequals(X0,v_Z,tc_set(t_a))
| ~ c_lessequals(X0,v_Y,tc_set(t_a)) ),
inference(cnf_transformation,[],[f1439]) ).
tcf(c_20111,plain,
! [X0: $i] :
( c_in(v_x,c_inter(v_Y,X0,t_a),t_a)
| ~ c_in(v_x,v_Y,t_a)
| ~ c_in(v_x,X0,t_a) ),
inference(instantiation,[status(thm)],[c_1573]) ).
tcf(c_21128,plain,
! [X0: $i] :
( c_in(v_x,v_X,t_a)
| ~ c_in(v_x,X0,t_a)
| ~ c_lessequals(X0,v_X,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_1715]) ).
tcf(c_21955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X0,X2) ),
inference(superposition,[status(thm)],[c_1716,c_1572]) ).
tcf(c_21956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X1,X2) ),
inference(superposition,[status(thm)],[c_1716,c_1571]) ).
tcf(c_22105,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)),
inference(superposition,[status(thm)],[c_21955,c_1717]) ).
tcf(c_22106,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)),
inference(superposition,[status(thm)],[c_21956,c_1717]) ).
tcf(c_22175,plain,
! [X0: $i] :
( c_lessequals(c_inter(X0,v_Z,t_a),v_X,tc_set(t_a))
| ~ c_lessequals(c_inter(X0,v_Z,t_a),v_Y,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_22106,c_2008]) ).
tcf(c_22182,plain,
c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a)),
inference(superposition,[status(thm)],[c_22105,c_22175]) ).
tcf(c_34570,plain,
( c_in(v_x,c_inter(v_Y,v_Z,t_a),t_a)
| ~ c_in(v_x,v_Z,t_a)
| ~ c_in(v_x,v_Y,t_a) ),
inference(instantiation,[status(thm)],[c_20111]) ).
tcf(c_50609,plain,
( c_in(v_x,v_X,t_a)
| ~ c_in(v_x,c_inter(v_Y,v_Z,t_a),t_a)
| ~ c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_21128]) ).
tcf(c_50610,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_50609,c_34570,c_22182,c_2007,c_2005,c_2006]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET830-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 12:04:07 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 62.69/11.99 % SZS status Started for theBenchmark.p
% 62.69/11.99 % SZS status Unsatisfiable for theBenchmark.p
% 62.69/11.99
% 62.69/11.99 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 62.69/11.99
% 62.69/11.99 % ------ iProver source info
% 62.69/11.99
% 62.69/11.99 % git: date: 2026-07-19 20:42:38 +0200
% 62.69/11.99 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 62.69/11.99 % git: non_committed_changes: false
% 62.69/11.99
% 62.69/11.99 % ------ Parsing...% successful
% 62.69/11.99
% 62.69/11.99
% 62.69/11.99 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 62.69/11.99
% 62.69/11.99 % ------ 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 %
% 62.69/11.99
% 62.69/11.99 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 62.69/11.99
% 62.69/11.99 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 62.69/11.99 % ------ Proving...
% 62.69/11.99 % ------ Problem Properties
% 62.69/11.99
% 62.69/11.99 %
% 62.69/11.99 % clauses 301
% 62.69/11.99 % conjectures 6
% 62.69/11.99 % EPR 29
% 62.69/11.99 % Horn 274
% 62.69/11.99 % unary 80
% 62.69/11.99 % binary 173
% 62.69/11.99 % lits 570
% 62.69/11.99 % lits eq 162
% 62.69/11.99 % fd_pure 0
% 62.69/11.99 % fd_pseudo 0
% 62.69/11.99 % fd_cond 21
% 62.69/11.99 % fd_pseudo_cond 40
% 62.69/11.99 % AC symbols 0
% 62.69/11.99
% 62.69/11.99 % ------ Input Options Time Limit: Unbounded
% 62.69/11.99
% 62.69/11.99
% 62.69/11.99 % ------
% 62.69/11.99 % Current options:
% 62.69/11.99 % ------
% 62.69/11.99
% 62.69/11.99
% 62.69/11.99 %
% 62.69/11.99
% 62.69/11.99 % ------ Proving...
% 62.69/11.99 %
% 62.69/11.99
% 62.69/11.99 % SZS status Unsatisfiable for theBenchmark.p
% 62.69/11.99
% 62.69/11.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 62.69/11.99
% 62.69/11.99
%------------------------------------------------------------------------------