%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET855-1 : 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 : n003.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 02:48:48 PM UTC 2026
% Result : Unsatisfiable 2.54s 1.30s
% Output : CNFRefutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 20 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f372,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_less(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetE_0) ).
fof(f374,axiom,
! [X2,X0,X1] :
( X0 = X1
| c_less(X0,X1,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetI_0) ).
fof(f1445,negated_conjecture,
c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1446,negated_conjecture,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1447,negated_conjecture,
v_n != c_Union(v_Y,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
tcf(c_1424,negated_conjecture,
c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
inference(cnf_transformation,[],[f1445]) ).
tcf(c_1425,negated_conjecture,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))),
inference(cnf_transformation,[],[f1446]) ).
tcf(c_1426,negated_conjecture,
c_Union(v_Y,tc_set(t_a)) != v_n,
inference(cnf_transformation,[],[f1447]) ).
tcf(c_1576,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_less(X0,X1,tc_set(X2))
| ( X0 = X1 )
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[],[f374]) ).
tcf(c_1578,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_less(X1,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[],[f372]) ).
tcf(c_4901,plain,
~ c_less(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))),
inference(superposition,[status(thm)],[c_1424,c_1578]) ).
tcf(c_5055,plain,
( c_less(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a)))
| ( c_Union(v_Y,tc_set(t_a)) = v_n ) ),
inference(superposition,[status(thm)],[c_1425,c_1576]) ).
tcf(c_5063,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5055,c_4901,c_1426]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET855-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n003.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
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 12:16:20 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 2.54/1.30 % SZS status Started for theBenchmark.p
% 2.54/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 2.54/1.30
% 2.54/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.54/1.30
% 2.54/1.30 % ------ iProver source info
% 2.54/1.30
% 2.54/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 2.54/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.54/1.30 % git: non_committed_changes: false
% 2.54/1.30
% 2.54/1.30 % ------ Parsing...% successful
% 2.54/1.30
% 2.54/1.30
% 2.54/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.54/1.30
% 2.54/1.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 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: 26 0s sf_e pe_s pe_e %
% 2.54/1.30
% 2.54/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.54/1.30
% 2.54/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.54/1.30 % ------ Proving...
% 2.54/1.30 % ------ Problem Properties
% 2.54/1.30
% 2.54/1.30 %
% 2.54/1.30 % clauses 37
% 2.54/1.30 % conjectures 7
% 2.54/1.30 % EPR 9
% 2.54/1.30 % Horn 33
% 2.54/1.30 % unary 20
% 2.54/1.30 % binary 11
% 2.54/1.30 % lits 62
% 2.54/1.30 % lits eq 12
% 2.54/1.30 % fd_pure 0
% 2.54/1.30 % fd_pseudo 0
% 2.54/1.30 % fd_cond 2
% 2.54/1.30 % fd_pseudo_cond 6
% 2.54/1.30 % AC symbols 0
% 2.54/1.30
% 2.54/1.30 % ------ Schedule dynamic 5 is on
% 2.54/1.30
% 2.54/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.54/1.30
% 2.54/1.30
% 2.54/1.30 % ------
% 2.54/1.30 % Current options:
% 2.54/1.30 % ------
% 2.54/1.30
% 2.54/1.30
% 2.54/1.30 %
% 2.54/1.30
% 2.54/1.30 % ------ Proving...
% 2.54/1.30 %
% 2.54/1.30
% 2.54/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 2.54/1.30
% 2.54/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.54/1.30
% 2.54/1.30
%------------------------------------------------------------------------------