TSTP Solution File: SET924+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET924+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 15:10:39 EDT 2023
% Result : Theorem 1.41s 1.20s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 4 unt; 0 def)
% Number of atoms : 58 ( 28 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 60 ( 27 ~; 23 |; 5 &)
% ( 3 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn; 12 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,conjecture,
! [X0,X1] :
( singleton(X0) = set_difference(singleton(X0),X1)
<=> ~ in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t67_zfmisc_1) ).
fof(f5,negated_conjecture,
~ ! [X0,X1] :
( singleton(X0) = set_difference(singleton(X0),X1)
<=> ~ in(X0,X1) ),
inference(negated_conjecture,[],[f4]) ).
fof(f6,axiom,
! [X0,X1] :
( singleton(X0) = set_difference(singleton(X0),X1)
<=> ~ in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l34_zfmisc_1) ).
fof(f8,plain,
? [X0,X1] :
( singleton(X0) = set_difference(singleton(X0),X1)
<~> ~ in(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f13,plain,
? [X0,X1] :
( ( in(X0,X1)
| singleton(X0) != set_difference(singleton(X0),X1) )
& ( ~ in(X0,X1)
| singleton(X0) = set_difference(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f14,plain,
( ? [X0,X1] :
( ( in(X0,X1)
| singleton(X0) != set_difference(singleton(X0),X1) )
& ( ~ in(X0,X1)
| singleton(X0) = set_difference(singleton(X0),X1) ) )
=> ( ( in(sK2,sK3)
| singleton(sK2) != set_difference(singleton(sK2),sK3) )
& ( ~ in(sK2,sK3)
| singleton(sK2) = set_difference(singleton(sK2),sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ( in(sK2,sK3)
| singleton(sK2) != set_difference(singleton(sK2),sK3) )
& ( ~ in(sK2,sK3)
| singleton(sK2) = set_difference(singleton(sK2),sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f13,f14]) ).
fof(f16,plain,
! [X0,X1] :
( ( singleton(X0) = set_difference(singleton(X0),X1)
| in(X0,X1) )
& ( ~ in(X0,X1)
| singleton(X0) != set_difference(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f20,plain,
( ~ in(sK2,sK3)
| singleton(sK2) = set_difference(singleton(sK2),sK3) ),
inference(cnf_transformation,[],[f15]) ).
fof(f21,plain,
( in(sK2,sK3)
| singleton(sK2) != set_difference(singleton(sK2),sK3) ),
inference(cnf_transformation,[],[f15]) ).
fof(f22,plain,
! [X0,X1] :
( ~ in(X0,X1)
| singleton(X0) != set_difference(singleton(X0),X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f23,plain,
! [X0,X1] :
( singleton(X0) = set_difference(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
cnf(c_52,negated_conjecture,
( set_difference(singleton(sK2),sK3) != singleton(sK2)
| in(sK2,sK3) ),
inference(cnf_transformation,[],[f21]) ).
cnf(c_53,negated_conjecture,
( ~ in(sK2,sK3)
| set_difference(singleton(sK2),sK3) = singleton(sK2) ),
inference(cnf_transformation,[],[f20]) ).
cnf(c_54,plain,
( set_difference(singleton(X0),X1) = singleton(X0)
| in(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
cnf(c_55,plain,
( set_difference(singleton(X0),X1) != singleton(X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
cnf(c_58,plain,
( in(sK2,sK3)
| set_difference(singleton(sK2),sK3) != singleton(sK2) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
cnf(c_59,plain,
( set_difference(singleton(sK2),sK3) != singleton(sK2)
| in(sK2,sK3) ),
inference(renaming,[status(thm)],[c_58]) ).
cnf(c_60,plain,
( ~ in(sK2,sK3)
| set_difference(singleton(sK2),sK3) = singleton(sK2) ),
inference(prop_impl_just,[status(thm)],[c_53]) ).
cnf(c_64,plain,
( in(X0,X1)
| set_difference(singleton(X0),X1) = singleton(X0) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
cnf(c_65,plain,
( set_difference(singleton(X0),X1) = singleton(X0)
| in(X0,X1) ),
inference(renaming,[status(thm)],[c_64]) ).
cnf(c_96,plain,
in(sK2,sK3),
inference(backward_subsumption_resolution,[status(thm)],[c_59,c_65]) ).
cnf(c_98,plain,
set_difference(singleton(sK2),sK3) = singleton(sK2),
inference(backward_subsumption_resolution,[status(thm)],[c_60,c_65]) ).
cnf(c_375,plain,
~ in(sK2,sK3),
inference(superposition,[status(thm)],[c_98,c_55]) ).
cnf(c_379,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_375,c_96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET924+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 13:15:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.41/1.20 % SZS status Started for theBenchmark.p
% 1.41/1.20 % SZS status Theorem for theBenchmark.p
% 1.41/1.20
% 1.41/1.20 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.41/1.20
% 1.41/1.20 ------ iProver source info
% 1.41/1.20
% 1.41/1.20 git: date: 2023-05-31 18:12:56 +0000
% 1.41/1.20 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.41/1.20 git: non_committed_changes: false
% 1.41/1.20 git: last_make_outside_of_git: false
% 1.41/1.20
% 1.41/1.20 ------ Parsing...
% 1.41/1.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.41/1.20
% 1.41/1.20 ------ 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
% 1.41/1.20
% 1.41/1.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.41/1.20
% 1.41/1.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.41/1.20 ------ Proving...
% 1.41/1.20 ------ Problem Properties
% 1.41/1.20
% 1.41/1.20
% 1.41/1.20 clauses 6
% 1.41/1.20 conjectures 0
% 1.41/1.20 EPR 3
% 1.41/1.20 Horn 5
% 1.41/1.20 unary 3
% 1.41/1.20 binary 3
% 1.41/1.20 lits 9
% 1.41/1.20 lits eq 4
% 1.41/1.20 fd_pure 0
% 1.41/1.20 fd_pseudo 0
% 1.41/1.20 fd_cond 0
% 1.41/1.20 fd_pseudo_cond 0
% 1.41/1.20 AC symbols 0
% 1.41/1.20
% 1.41/1.20 ------ Schedule dynamic 5 is on
% 1.41/1.20
% 1.41/1.20 ------ no conjectures: strip conj schedule
% 1.41/1.20
% 1.41/1.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.41/1.20
% 1.41/1.20
% 1.41/1.20 ------
% 1.41/1.20 Current options:
% 1.41/1.20 ------
% 1.41/1.20
% 1.41/1.20
% 1.41/1.20
% 1.41/1.20
% 1.41/1.20 ------ Proving...
% 1.41/1.20
% 1.41/1.20
% 1.41/1.20 % SZS status Theorem for theBenchmark.p
% 1.41/1.20
% 1.41/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.41/1.20
% 1.41/1.20
%------------------------------------------------------------------------------