%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET834-2 : 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 : 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 02:48:43 PM UTC 2026
% Result : Unsatisfiable 1.83s 1.29s
% Output : CNFRefutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 17 unt; 1 def)
% Number of atoms : 78 ( 1 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 59 ( 30 ~; 29 |; 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; 2 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 70 ( 0 sgn 70 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f3,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/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f4,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/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f5,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/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f6,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/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f7,negated_conjecture,
c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f8,negated_conjecture,
~ c_in(v_x,v_Z,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f9,negated_conjecture,
~ c_in(v_x,v_Y,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f10,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_59,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,[],[f1]) ).
tcf(c_60,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,[],[f2]) ).
tcf(c_61,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,[],[f3]) ).
tcf(c_62,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,[],[f4]) ).
tcf(c_63,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,[],[f5]) ).
tcf(c_64,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,[],[f6]) ).
tcf(c_65,negated_conjecture,
c_in(v_x,v_X,t_a),
inference(cnf_transformation,[],[f7]) ).
tcf(c_66,negated_conjecture,
~ c_in(v_x,v_Z,t_a),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,negated_conjecture,
~ c_in(v_x,v_Y,t_a),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,negated_conjecture,
! [X0: $i] :
( c_lessequals(v_X,X0,tc_set(t_a))
| ~ c_lessequals(v_Y,X0,tc_set(t_a))
| ~ c_lessequals(v_Z,X0,tc_set(t_a)) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_114,definition,
iPr_def_10 = tc_set(t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_115,negated_conjecture,
! [X0: $i] :
( c_lessequals(v_X,X0,iPr_def_10)
| ~ c_lessequals(v_Y,X0,iPr_def_10)
| ~ c_lessequals(v_Z,X0,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_68,c_114]) ).
tcf(c_116,negated_conjecture,
~ c_in(v_x,v_Y,t_a),
inference(demodulation,[status(thm)],[c_67]) ).
tcf(c_117,negated_conjecture,
~ c_in(v_x,v_Z,t_a),
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_118,negated_conjecture,
c_in(v_x,v_X,t_a),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_307,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_59,c_64]) ).
tcf(c_308,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_60,c_64]) ).
tcf(c_322,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,X2,t_a)
| ~ c_lessequals(X1,X2,iPr_def_10)
| ~ c_in(X0,X1,t_a) ),
inference(superposition,[status(thm)],[c_114,c_62]) ).
tcf(c_345,plain,
! [X0: $i] :
( c_in(v_x,X0,t_a)
| ~ c_lessequals(v_X,X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_118,c_322]) ).
tcf(c_405,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(superposition,[status(thm)],[c_63,c_307]) ).
tcf(c_419,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_union(X1,X0,t_a),iPr_def_10),
inference(superposition,[status(thm)],[c_114,c_405]) ).
tcf(c_424,plain,
! [X0: $i] :
( c_lessequals(v_X,c_union(X0,v_Z,t_a),iPr_def_10)
| ~ c_lessequals(v_Y,c_union(X0,v_Z,t_a),iPr_def_10) ),
inference(superposition,[status(thm)],[c_419,c_115]) ).
tcf(c_749,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(superposition,[status(thm)],[c_63,c_308]) ).
tcf(c_768,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_union(X0,X1,t_a),iPr_def_10),
inference(superposition,[status(thm)],[c_114,c_749]) ).
tcf(c_777,plain,
c_lessequals(v_X,c_union(v_Y,v_Z,t_a),iPr_def_10),
inference(superposition,[status(thm)],[c_768,c_424]) ).
tcf(c_903,plain,
c_in(v_x,c_union(v_Y,v_Z,t_a),t_a),
inference(superposition,[status(thm)],[c_777,c_345]) ).
tcf(c_905,plain,
( c_in(v_x,v_Y,t_a)
| c_in(v_x,v_Z,t_a) ),
inference(superposition,[status(thm)],[c_903,c_61]) ).
tcf(c_907,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_905,c_116,c_117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET834-2 : 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 : n016.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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 12:12:27 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 1.83/1.29 % SZS status Started for theBenchmark.p
% 1.83/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.83/1.29
% 1.83/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.83/1.29
% 1.83/1.29 % ------ iProver source info
% 1.83/1.29
% 1.83/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.83/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.83/1.29 % git: non_committed_changes: false
% 1.83/1.29
% 1.83/1.29 % ------ Parsing...% successful
% 1.83/1.29
% 1.83/1.29
% 1.83/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.83/1.29
% 1.83/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.83/1.29
% 1.83/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.83/1.29
% 1.83/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.83/1.29 % ------ Proving...
% 1.83/1.29 % ------ Problem Properties
% 1.83/1.29
% 1.83/1.29 %
% 1.83/1.29 % clauses 11
% 1.83/1.29 % conjectures 4
% 1.83/1.29 % EPR 4
% 1.83/1.29 % Horn 9
% 1.83/1.29 % unary 4
% 1.83/1.29 % binary 4
% 1.83/1.29 % lits 21
% 1.83/1.29 % lits eq 1
% 1.83/1.29 % fd_pure 0
% 1.83/1.29 % fd_pseudo 0
% 1.83/1.29 % fd_cond 0
% 1.83/1.29 % fd_pseudo_cond 0
% 1.83/1.29 % AC symbols 0
% 1.83/1.29
% 1.83/1.29 % ------ Schedule dynamic 5 is on
% 1.83/1.29
% 1.83/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.83/1.29
% 1.83/1.29
% 1.83/1.29 % ------
% 1.83/1.29 % Current options:
% 1.83/1.29 % ------
% 1.83/1.29
% 1.83/1.29
% 1.83/1.29 %
% 1.83/1.29
% 1.83/1.29 % ------ Proving...
% 1.83/1.29 %
% 1.83/1.29
% 1.83/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.83/1.29
% 1.83/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.83/1.29
% 1.83/1.29
%------------------------------------------------------------------------------