%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET842-2 : 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 02:48:45 PM UTC 2026
% Result : Unsatisfiable 1.66s 6.27s
% Output : CNFRefutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 8 unt; 3 def)
% Number of atoms : 112 ( 3 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 54 ( 26 ~; 28 |; 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 : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 48 ( 0 sgn 48 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f2,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f3,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/theBenchmark.p',cls_Set_OUnionE_0) ).
fof(f4,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/theBenchmark.p',cls_Set_OUnionE_1) ).
fof(f5,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(f6,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(f7,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) ).
tcf(c_56,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,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,[],[f2]) ).
tcf(c_58,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,[],[f3]) ).
tcf(c_59,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,[],[f4]) ).
tcf(c_60,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,[],[f5]) ).
tcf(c_61,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,[],[f6]) ).
tcf(c_62,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,[],[f7]) ).
tcf(c_151,definition,
iPr_def_10 = tc_set(t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_152,definition,
iPr_def_11 = tc_set(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_153,definition,
iPr_def_12 = c_Union(v_Y,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_154,negated_conjecture,
! [X0: $i] :
( c_lessequals(X0,v_m,iPr_def_11)
| ~ c_in(X0,v_Y,iPr_def_11) ),
inference(demodulation,[status(thm)],[c_57,c_151,c_152]) ).
tcf(c_155,negated_conjecture,
~ c_lessequals(iPr_def_12,v_m,iPr_def_11),
inference(demodulation,[status(thm)],[c_56,c_153]) ).
tcf(c_347,plain,
! [X0: $i,X1: $i] :
( c_in(c_Main_OUnionE__1(X0,X1,iPr_def_10),X1,iPr_def_11)
| ~ c_in(X0,c_Union(X1,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_152,c_58]) ).
tcf(c_362,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,X1,iPr_def_10)
| ~ c_in(X2,X0,iPr_def_10)
| ~ c_lessequals(X0,X1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_152,c_60]) ).
tcf(c_377,plain,
! [X0: $i] :
( c_lessequals(c_Main_OUnionE__1(X0,v_Y,iPr_def_10),v_m,iPr_def_11)
| ~ c_in(X0,c_Union(v_Y,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_347,c_154]) ).
tcf(c_378,plain,
! [X0: $i] :
( c_lessequals(c_Main_OUnionE__1(X0,v_Y,iPr_def_10),v_m,iPr_def_11)
| ~ c_in(X0,iPr_def_12,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_377,c_153]) ).
tcf(c_401,plain,
! [X0: $i,X1: $i] :
( c_in(X0,v_m,iPr_def_10)
| ~ c_in(X1,iPr_def_12,iPr_def_10)
| ~ c_in(X0,c_Main_OUnionE__1(X1,v_Y,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_378,c_362]) ).
tcf(c_433,plain,
! [X0: $i] :
( c_in(X0,v_m,iPr_def_10)
| ~ c_in(X0,iPr_def_12,iPr_def_10)
| ~ c_in(X0,c_Union(v_Y,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_59,c_401]) ).
tcf(c_436,plain,
! [X0: $i] :
( c_in(X0,v_m,iPr_def_10)
| ~ c_in(X0,iPr_def_12,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_433,c_153]) ).
tcf(c_472,plain,
! [X0: $i] :
( c_lessequals(iPr_def_12,X0,tc_set(iPr_def_10))
| c_in(c_Main_OsubsetI__1(iPr_def_12,X0,iPr_def_10),v_m,iPr_def_10) ),
inference(superposition,[status(thm)],[c_61,c_436]) ).
tcf(c_474,plain,
! [X0: $i] :
( c_lessequals(iPr_def_12,X0,iPr_def_11)
| c_in(c_Main_OsubsetI__1(iPr_def_12,X0,iPr_def_10),v_m,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_472,c_152]) ).
tcf(c_495,plain,
( c_lessequals(iPr_def_12,v_m,iPr_def_11)
| c_lessequals(iPr_def_12,v_m,tc_set(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_474,c_62]) ).
tcf(c_496,plain,
c_lessequals(iPr_def_12,v_m,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_495,c_152]) ).
tcf(c_497,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_496,c_155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET842-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.37 % Computer : n016.cluster.edu
% 0.12/5.37 % Model : x86_64 x86_64
% 0.12/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.37 % Memory : 8046.5625MB
% 0.12/5.37 % OS : Linux 6.8.0-71-generic
% 0.12/5.37 % CPULimit : 300
% 0.12/5.37 % WCLimit : 300
% 0.12/5.37 % DateTime : Thu Sep 24 12:15:20 UTC 2026
% 0.12/5.37 % CPUTime :
% 0.12/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 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
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.42 % Detected problem language: tptp
% 0.14/5.43 % Proving...
% 1.66/6.27 % SZS status Started for theBenchmark.p
% 1.66/6.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.66/6.27
% 1.66/6.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.66/6.27
% 1.66/6.27 % ------ iProver source info
% 1.66/6.27
% 1.66/6.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.66/6.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.66/6.27 % git: non_committed_changes: false
% 1.66/6.27
% 1.66/6.27 % ------ Parsing...% successful
% 1.66/6.27
% 1.66/6.27
% 1.66/6.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.66/6.27
% 1.66/6.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.66/6.27
% 1.66/6.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.66/6.27
% 1.66/6.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.66/6.27 % ------ Proving...
% 1.66/6.27 % ------ Problem Properties
% 1.66/6.27
% 1.66/6.27 %
% 1.66/6.27 % clauses 10
% 1.66/6.27 % conjectures 2
% 1.66/6.27 % EPR 2
% 1.66/6.27 % Horn 9
% 1.66/6.27 % unary 4
% 1.66/6.27 % binary 5
% 1.66/6.27 % lits 17
% 1.66/6.27 % lits eq 3
% 1.66/6.28 % fd_pure 0
% 1.66/6.28 % fd_pseudo 0
% 1.66/6.28 % fd_cond 0
% 1.66/6.28 % fd_pseudo_cond 0
% 1.66/6.28 % AC symbols 0
% 1.66/6.28
% 1.66/6.28 % ------ Schedule dynamic 5 is on
% 1.66/6.28
% 1.66/6.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.66/6.28
% 1.66/6.28
% 1.66/6.28 % ------
% 1.66/6.28 % Current options:
% 1.66/6.28 % ------
% 1.66/6.28
% 1.66/6.28
% 1.66/6.28 %
% 1.66/6.28
% 1.66/6.28 % ------ Proving...
% 1.66/6.28 %
% 1.66/6.28
% 1.66/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.66/6.28
% 1.66/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.66/6.28
% 1.66/6.28
%------------------------------------------------------------------------------