%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET013-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.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 75.59s 11.40s
% Output : CNFRefutation 75.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 69 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 61 ( 27 ~; 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/Axioms/SET003-0.ax',extensionality2) ).
fof(f4,axiom,
! [X0,X1] :
( X0 = X1
| ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',extensionality3) ).
fof(f34,axiom,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',intersection1) ).
fof(f35,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',intersection2) ).
fof(f36,axiom,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',intersection3) ).
fof(f162,axiom,
intersection(as,bs) = cs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_a_and_b_is_c) ).
fof(f163,axiom,
intersection(bs,as) = ds,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_b_and_a_is_d) ).
fof(f164,negated_conjecture,
cs != ds,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d) ).
tcf(c_195,plain,
! [X0: $i,X1: $i] :
( member(f1(X0,X1),X1)
| member(f1(X0,X1),X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_196,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_328,plain,
intersection(as,bs) = cs,
inference(cnf_transformation,[],[f162]) ).
tcf(c_329,plain,
intersection(bs,as) = ds,
inference(cnf_transformation,[],[f163]) ).
tcf(c_330,negated_conjecture,
cs != ds,
inference(cnf_transformation,[],[f164]) ).
tcf(c_9398,negated_conjecture,
cs != ds,
inference(demodulation,[status(thm)],[c_330]) ).
tcf(c_11471,plain,
! [X0: $i] :
( member(X0,as)
| ~ member(X0,cs) ),
inference(superposition,[status(thm)],[c_328,c_218]) ).
tcf(c_11472,plain,
! [X0: $i] :
( member(X0,bs)
| ~ member(X0,ds) ),
inference(superposition,[status(thm)],[c_329,c_218]) ).
tcf(c_11506,plain,
! [X0: $i] :
( member(f1(cs,X0),as)
| member(f1(cs,X0),X0)
| ( X0 = cs ) ),
inference(superposition,[status(thm)],[c_195,c_11471]) ).
tcf(c_11546,plain,
! [X0: $i] :
( member(f1(X0,ds),bs)
| member(f1(X0,ds),X0)
| ( X0 = ds ) ),
inference(superposition,[status(thm)],[c_195,c_11472]) ).
tcf(c_11584,plain,
! [X0: $i] :
( member(X0,bs)
| ~ member(X0,cs) ),
inference(superposition,[status(thm)],[c_328,c_219]) ).
tcf(c_11585,plain,
! [X0: $i] :
( member(X0,as)
| ~ member(X0,ds) ),
inference(superposition,[status(thm)],[c_329,c_219]) ).
tcf(c_11644,plain,
( ( cs = ds )
| ~ member(f1(cs,ds),ds)
| ~ member(f1(cs,ds),cs) ),
inference(instantiation,[status(thm)],[c_196]) ).
tcf(c_11881,plain,
( member(f1(cs,ds),as)
| ( cs = ds ) ),
inference(superposition,[status(thm)],[c_11506,c_11585]) ).
tcf(c_11887,plain,
member(f1(cs,ds),as),
inference(forward_subsumption_resolution,[status(thm)],[c_11881,c_9398]) ).
tcf(c_13046,plain,
( member(f1(cs,ds),bs)
| ( cs = ds ) ),
inference(superposition,[status(thm)],[c_11546,c_11584]) ).
tcf(c_13054,plain,
member(f1(cs,ds),bs),
inference(forward_subsumption_resolution,[status(thm)],[c_13046,c_9398]) ).
tcf(c_19810,plain,
! [X0: $i] :
( member(X0,cs)
| ~ member(X0,bs)
| ~ member(X0,as) ),
inference(superposition,[status(thm)],[c_328,c_220]) ).
tcf(c_19811,plain,
! [X0: $i] :
( member(X0,ds)
| ~ member(X0,bs)
| ~ member(X0,as) ),
inference(superposition,[status(thm)],[c_329,c_220]) ).
tcf(c_149492,plain,
( member(f1(cs,ds),cs)
| ~ member(f1(cs,ds),as) ),
inference(superposition,[status(thm)],[c_13054,c_19810]) ).
tcf(c_149543,plain,
member(f1(cs,ds),cs),
inference(forward_subsumption_resolution,[status(thm)],[c_149492,c_11887]) ).
tcf(c_150092,plain,
( member(f1(cs,ds),ds)
| ~ member(f1(cs,ds),as) ),
inference(superposition,[status(thm)],[c_13054,c_19811]) ).
tcf(c_150143,plain,
member(f1(cs,ds),ds),
inference(forward_subsumption_resolution,[status(thm)],[c_150092,c_11887]) ).
tcf(c_150350,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_150143,c_149543,c_11644,c_330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET013-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % 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 09:09:34 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...
% 75.59/11.40 % SZS status Started for theBenchmark.p
% 75.59/11.40 % SZS status Unsatisfiable for theBenchmark.p
% 75.59/11.40
% 75.59/11.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 75.59/11.40
% 75.59/11.40 % ------ iProver source info
% 75.59/11.40
% 75.59/11.40 % git: date: 2026-07-19 20:42:38 +0200
% 75.59/11.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 75.59/11.40 % git: non_committed_changes: false
% 75.59/11.40
% 75.59/11.40 % ------ Parsing...% successful
% 75.59/11.40
% 75.59/11.40
% 75.59/11.40 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 75.59/11.40
% 75.59/11.40 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 75.59/11.40
% 75.59/11.40 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 75.59/11.40
% 75.59/11.40 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 75.59/11.40 % ------ Proving...
% 75.59/11.40 % ------ Problem Properties
% 75.59/11.40
% 75.59/11.40 %
% 75.59/11.40 % clauses 132
% 75.59/11.40 % conjectures 1
% 75.59/11.40 % EPR 21
% 75.59/11.40 % Horn 113
% 75.59/11.40 % unary 8
% 75.59/11.40 % binary 89
% 75.59/11.40 % lits 322
% 75.59/11.40 % lits eq 29
% 75.59/11.40 % fd_pure 0
% 75.59/11.40 % fd_pseudo 0
% 75.59/11.40 % fd_cond 4
% 75.59/11.40 % fd_pseudo_cond 6
% 75.59/11.40 % AC symbols 0
% 75.59/11.40
% 75.59/11.40 % ------ Schedule dynamic 5 is on
% 75.59/11.40
% 75.59/11.40 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 75.59/11.40
% 75.59/11.40
% 75.59/11.40 % ------
% 75.59/11.40 % Current options:
% 75.59/11.40 % ------
% 75.59/11.40
% 75.59/11.40
% 75.59/11.40 %
% 75.59/11.40
% 75.59/11.40 % ------ Proving...
% 75.59/11.40 %
% 75.59/11.40
% 75.59/11.40 % SZS status Unsatisfiable for theBenchmark.p
% 75.59/11.40
% 75.59/11.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 75.59/11.40
% 75.59/11.40
%------------------------------------------------------------------------------