%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU097+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 02:55:24 PM UTC 2026
% Result : Theorem 2.26s 1.29s
% Output : CNFRefutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 18 unt; 3 def)
% Number of atoms : 76 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 51 ( 23 ~; 15 |; 9 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 26 !; 4 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0,X1] : symmetric_difference(X0,X1) = set_union2(set_difference(X0,X1),set_difference(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_xboole_0) ).
fof(f30,axiom,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(set_union2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_finset_1) ).
fof(f57,axiom,
! [X0,X1] :
( finite(X0)
=> finite(set_difference(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_finset_1) ).
fof(f60,conjecture,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(symmetric_difference(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_finset_1) ).
fof(f61,negated_conjecture,
~ ! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(symmetric_difference(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f60]) ).
fof(f120,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ finite(X0)
| finite(set_union2(X0,X1)) ),
inference(ennf_transformation,[],[f30]) ).
fof(f121,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ finite(X0)
| finite(set_union2(X0,X1)) ),
inference(flattening,[],[f120]) ).
fof(f124,plain,
! [X0,X1] :
( ~ finite(X0)
| finite(set_difference(X0,X1)) ),
inference(ennf_transformation,[],[f57]) ).
fof(f126,plain,
? [X0,X1] :
( finite(X1)
& finite(X0)
& ~ finite(symmetric_difference(X0,X1)) ),
inference(ennf_transformation,[],[f61]) ).
fof(f127,plain,
? [X0,X1] :
( finite(X1)
& finite(X0)
& ~ finite(symmetric_difference(X0,X1)) ),
inference(flattening,[],[f126]) ).
fof(f163,plain,
( finite(sK27)
& finite(sK26)
& ~ finite(symmetric_difference(sK26,sK27)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26,sK27]),skolemize(X0,sK26),skolemize(X1,sK27)],[f127]) ).
fof(f188,plain,
! [X0,X1] : symmetric_difference(X0,X1) = set_union2(set_difference(X0,X1),set_difference(X1,X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f210,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ finite(X0)
| finite(set_union2(X0,X1)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f283,plain,
! [X0,X1] :
( ~ finite(X0)
| finite(set_difference(X0,X1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f286,plain,
finite(sK27),
inference(cnf_transformation,[],[f163]) ).
fof(f287,plain,
finite(sK26),
inference(cnf_transformation,[],[f163]) ).
fof(f288,plain,
~ finite(symmetric_difference(sK26,sK27)),
inference(cnf_transformation,[],[f163]) ).
fof(f300,plain,
~ finite(set_union2(set_difference(sK26,sK27),set_difference(sK27,sK26))),
inference(definition_unfolding,[],[f288,f188]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( finite(set_union2(X1,X0))
| ~ finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] :
( finite(set_difference(X0,X1))
| ~ finite(X0) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_166,negated_conjecture,
~ finite(set_union2(set_difference(sK26,sK27),set_difference(sK27,sK26))),
inference(cnf_transformation,[],[f300]) ).
tcf(c_167,negated_conjecture,
finite(sK26),
inference(cnf_transformation,[],[f287]) ).
tcf(c_168,negated_conjecture,
finite(sK27),
inference(cnf_transformation,[],[f286]) ).
tcf(c_962,definition,
iPr_def_10 = set_difference(sK26,sK27),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_963,definition,
iPr_def_11 = set_difference(sK27,sK26),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_964,definition,
iPr_def_12 = set_union2(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_965,negated_conjecture,
finite(sK27),
inference(demodulation,[status(thm)],[c_168]) ).
tcf(c_966,negated_conjecture,
finite(sK26),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_967,negated_conjecture,
~ finite(iPr_def_12),
inference(demodulation,[status(thm)],[c_166,c_963,c_962,c_964]) ).
tcf(c_1452,plain,
( finite(iPr_def_10)
| ~ finite(sK26) ),
inference(superposition,[status(thm)],[c_962,c_163]) ).
tcf(c_1453,plain,
( finite(iPr_def_11)
| ~ finite(sK27) ),
inference(superposition,[status(thm)],[c_963,c_163]) ).
tcf(c_1456,plain,
finite(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_1453,c_965]) ).
tcf(c_1457,plain,
finite(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_1452,c_966]) ).
tcf(c_1572,plain,
( finite(iPr_def_12)
| ~ finite(iPr_def_11)
| ~ finite(iPr_def_10) ),
inference(superposition,[status(thm)],[c_964,c_90]) ).
tcf(c_1573,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1572,c_967,c_1456,c_1457]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU097+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n003.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 12:46:21 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 2.26/1.29 % SZS status Started for theBenchmark.p
% 2.26/1.29 % SZS status Theorem for theBenchmark.p
% 2.26/1.29
% 2.26/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.26/1.29
% 2.26/1.29 % ------ iProver source info
% 2.26/1.29
% 2.26/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.26/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.26/1.29 % git: non_committed_changes: false
% 2.26/1.29
% 2.26/1.29 % ------ Parsing...
% 2.26/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.26/1.29
% 2.26/1.29 % ------ Preprocessing... sup_sim: 1 sf_s rm: 71 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e %
% 2.26/1.29
% 2.26/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.26/1.29
% 2.26/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.26/1.29 % ------ Proving...
% 2.26/1.29 % ------ Problem Properties
% 2.26/1.29
% 2.26/1.29 %
% 2.26/1.29 % clauses 54
% 2.26/1.29 % conjectures 3
% 2.26/1.29 % EPR 26
% 2.26/1.29 % Horn 50
% 2.26/1.29 % unary 35
% 2.26/1.29 % binary 13
% 2.26/1.29 % lits 79
% 2.26/1.29 % lits eq 10
% 2.26/1.29 % fd_pure 0
% 2.26/1.29 % fd_pseudo 0
% 2.26/1.29 % fd_cond 1
% 2.26/1.29 % fd_pseudo_cond 1
% 2.26/1.29 % AC symbols 0
% 2.26/1.29
% 2.26/1.29 % ------ Schedule dynamic 5 is on
% 2.26/1.29
% 2.26/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.26/1.29
% 2.26/1.29
% 2.26/1.29 % ------
% 2.26/1.29 % Current options:
% 2.26/1.29 % ------
% 2.26/1.29
% 2.26/1.29
% 2.26/1.29 %
% 2.26/1.29
% 2.26/1.29 % ------ Proving...
% 2.26/1.29 %
% 2.26/1.29
% 2.26/1.29 % SZS status Theorem for theBenchmark.p
% 2.26/1.29
% 2.26/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.26/1.29
% 2.26/1.29
%------------------------------------------------------------------------------