%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET013-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 02:46:01 PM UTC 2026
% Result : Unsatisfiable 0.72s 1.27s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 67 ( 16 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 62 ( 28 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
| member(f1(X0,X1),X1)
| member(f1(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2) ).
fof(f4,axiom,
! [X0,X1] :
( X0 = X1
| ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality3) ).
fof(f5,axiom,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f6,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f10,axiom,
intersection(as,bs) = cs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_a_and_b_is_c) ).
fof(f11,axiom,
intersection(bs,as) = ds,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_b_and_a_is_d) ).
fof(f12,negated_conjecture,
cs != ds,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( member(f1(X0,X1),X1)
| member(f1(X0,X1),X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_70,plain,
intersection(as,bs) = cs,
inference(cnf_transformation,[],[f10]) ).
tcf(c_71,plain,
intersection(bs,as) = ds,
inference(cnf_transformation,[],[f11]) ).
tcf(c_72,negated_conjecture,
cs != ds,
inference(cnf_transformation,[],[f12]) ).
tcf(c_270,negated_conjecture,
cs != ds,
inference(demodulation,[status(thm)],[c_72]) ).
tcf(c_415,plain,
! [X0: $i] :
( member(X0,as)
| ~ member(X0,cs) ),
inference(superposition,[status(thm)],[c_70,c_65]) ).
tcf(c_416,plain,
! [X0: $i] :
( member(X0,bs)
| ~ member(X0,ds) ),
inference(superposition,[status(thm)],[c_71,c_65]) ).
tcf(c_441,plain,
! [X0: $i] :
( member(f1(X0,ds),bs)
| member(f1(X0,ds),X0)
| ( X0 = ds ) ),
inference(superposition,[status(thm)],[c_63,c_416]) ).
tcf(c_445,plain,
! [X0: $i] :
( member(f1(cs,X0),as)
| member(f1(cs,X0),X0)
| ( X0 = cs ) ),
inference(superposition,[status(thm)],[c_63,c_415]) ).
tcf(c_491,plain,
! [X0: $i] :
( member(X0,bs)
| ~ member(X0,cs) ),
inference(superposition,[status(thm)],[c_70,c_66]) ).
tcf(c_492,plain,
! [X0: $i] :
( member(X0,as)
| ~ member(X0,ds) ),
inference(superposition,[status(thm)],[c_71,c_66]) ).
tcf(c_514,plain,
! [X0: $i] :
( member(X0,cs)
| ~ member(X0,bs)
| ~ member(X0,as) ),
inference(superposition,[status(thm)],[c_70,c_67]) ).
tcf(c_515,plain,
! [X0: $i] :
( member(X0,ds)
| ~ member(X0,bs)
| ~ member(X0,as) ),
inference(superposition,[status(thm)],[c_71,c_67]) ).
tcf(c_545,plain,
( ( cs = ds )
| ~ member(f1(cs,ds),ds)
| ~ member(f1(cs,ds),cs) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_1014,plain,
( member(f1(cs,ds),bs)
| ( cs = ds ) ),
inference(superposition,[status(thm)],[c_441,c_491]) ).
tcf(c_1024,plain,
member(f1(cs,ds),bs),
inference(forward_subsumption_resolution,[status(thm)],[c_1014,c_270]) ).
tcf(c_1199,plain,
( member(f1(cs,ds),ds)
| ~ member(f1(cs,ds),as) ),
inference(superposition,[status(thm)],[c_1024,c_515]) ).
tcf(c_1200,plain,
( member(f1(cs,ds),cs)
| ~ member(f1(cs,ds),as) ),
inference(superposition,[status(thm)],[c_1024,c_514]) ).
tcf(c_1246,plain,
~ member(f1(cs,ds),as),
inference(global_subsumption_just,[status(thm)],[c_1199,c_72,c_545,c_1200,c_1199]) ).
tcf(c_1450,plain,
( member(f1(cs,ds),as)
| ( cs = ds ) ),
inference(superposition,[status(thm)],[c_445,c_492]) ).
tcf(c_1458,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1450,c_1246,c_270]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET013-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n003.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 09:08:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 0.72/1.27 % SZS status Started for theBenchmark.p
% 0.72/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 0.72/1.27
% 0.72/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.72/1.27
% 0.72/1.27 % ------ iProver source info
% 0.72/1.27
% 0.72/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 0.72/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.72/1.27 % git: non_committed_changes: false
% 0.72/1.27
% 0.72/1.27 % ------ Parsing...% successful
% 0.72/1.27
% 0.72/1.27
% 0.72/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.72/1.27
% 0.72/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 0.72/1.27
% 0.72/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.72/1.27
% 0.72/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.72/1.27 % ------ Proving...
% 0.72/1.27 % ------ Problem Properties
% 0.72/1.27
% 0.72/1.27 %
% 0.72/1.27 % clauses 11
% 0.72/1.27 % conjectures 1
% 0.72/1.27 % EPR 3
% 0.72/1.27 % Horn 9
% 0.72/1.27 % unary 4
% 0.72/1.27 % binary 4
% 0.72/1.27 % lits 21
% 0.72/1.28 % lits eq 6
% 0.72/1.28 % fd_pure 0
% 0.72/1.28 % fd_pseudo 0
% 0.72/1.28 % fd_cond 0
% 0.72/1.28 % fd_pseudo_cond 3
% 0.72/1.28 % AC symbols 0
% 0.72/1.28
% 0.72/1.28 % ------ Schedule dynamic 5 is on
% 0.72/1.28
% 0.72/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.72/1.28
% 0.72/1.28
% 0.72/1.28 % ------
% 0.72/1.28 % Current options:
% 0.72/1.28 % ------
% 0.72/1.28
% 0.72/1.28
% 0.72/1.28 %
% 0.72/1.28
% 0.72/1.28 % ------ Proving...
% 0.72/1.28 %
% 0.72/1.28
% 0.72/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 0.72/1.28
% 0.72/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.72/1.28
% 0.72/1.28
%------------------------------------------------------------------------------