TSTP Solution File: SET874+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET874+1 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 : Mon Jun 24 14:36:25 EDT 2024
% Result : Theorem 2.24s 1.16s
% Output : CNFRefutation 2.24s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( unordered_pair(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( X1 = X3
| X0 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
fof(f8,axiom,
! [X0,X1] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l23_zfmisc_1) ).
fof(f11,conjecture,
! [X0,X1] : unordered_pair(X0,X1) = set_union2(singleton(X0),unordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_zfmisc_1) ).
fof(f12,negated_conjecture,
~ ! [X0,X1] : unordered_pair(X0,X1) = set_union2(singleton(X0),unordered_pair(X0,X1)),
inference(negated_conjecture,[],[f11]) ).
fof(f17,plain,
! [X0,X1] :
( set_union2(singleton(X0),X1) = X1
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f18,plain,
? [X0,X1] : unordered_pair(X0,X1) != set_union2(singleton(X0),unordered_pair(X0,X1)),
inference(ennf_transformation,[],[f12]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = X2
| ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( X1 != X3
& X0 != X3 ) )
& ( X1 = X3
| X0 = X3
| ~ in(X3,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = X2
| ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( X1 != X3
& X0 != X3 ) )
& ( X1 = X3
| X0 = X3
| ~ in(X3,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = X2
| ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( X1 != X4
& X0 != X4 ) )
& ( X1 = X4
| X0 = X4
| ~ in(X4,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(rectify,[],[f20]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) )
=> ( ( ( sK0(X0,X1,X2) != X1
& sK0(X0,X1,X2) != X0 )
| ~ in(sK0(X0,X1,X2),X2) )
& ( sK0(X0,X1,X2) = X1
| sK0(X0,X1,X2) = X0
| in(sK0(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = X2
| ( ( ( sK0(X0,X1,X2) != X1
& sK0(X0,X1,X2) != X0 )
| ~ in(sK0(X0,X1,X2),X2) )
& ( sK0(X0,X1,X2) = X1
| sK0(X0,X1,X2) = X0
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( X1 != X4
& X0 != X4 ) )
& ( X1 = X4
| X0 = X4
| ~ in(X4,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f22]) ).
fof(f28,plain,
( ? [X0,X1] : unordered_pair(X0,X1) != set_union2(singleton(X0),unordered_pair(X0,X1))
=> unordered_pair(sK3,sK4) != set_union2(singleton(sK3),unordered_pair(sK3,sK4)) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
unordered_pair(sK3,sK4) != set_union2(singleton(sK3),unordered_pair(sK3,sK4)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f18,f28]) ).
fof(f34,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| X0 != X4
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f23]) ).
fof(f42,plain,
! [X0,X1] :
( set_union2(singleton(X0),X1) = X1
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f45,plain,
unordered_pair(sK3,sK4) != set_union2(singleton(sK3),unordered_pair(sK3,sK4)),
inference(cnf_transformation,[],[f29]) ).
fof(f48,plain,
! [X2,X1,X4] :
( in(X4,X2)
| unordered_pair(X4,X1) != X2 ),
inference(equality_resolution,[],[f34]) ).
fof(f49,plain,
! [X1,X4] : in(X4,unordered_pair(X4,X1)),
inference(equality_resolution,[],[f48]) ).
cnf(c_56,plain,
in(X0,unordered_pair(X0,X1)),
inference(cnf_transformation,[],[f49]) ).
cnf(c_61,plain,
( ~ in(X0,X1)
| set_union2(singleton(X0),X1) = X1 ),
inference(cnf_transformation,[],[f42]) ).
cnf(c_64,negated_conjecture,
set_union2(singleton(sK3),unordered_pair(sK3,sK4)) != unordered_pair(sK3,sK4),
inference(cnf_transformation,[],[f45]) ).
cnf(c_180,plain,
singleton(sK3) = sP0_iProver_def,
definition ).
cnf(c_181,plain,
unordered_pair(sK3,sK4) = sP1_iProver_def,
definition ).
cnf(c_182,plain,
set_union2(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_183,negated_conjecture,
sP2_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_64,c_181,c_180,c_182]) ).
cnf(c_402,plain,
in(sK3,sP1_iProver_def),
inference(superposition,[status(thm)],[c_181,c_56]) ).
cnf(c_455,plain,
set_union2(singleton(sK3),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_402,c_61]) ).
cnf(c_456,plain,
sP1_iProver_def = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_455,c_180,c_182]) ).
cnf(c_460,plain,
sP1_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_183,c_456]) ).
cnf(c_461,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_460]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET874+1 : TPTP v8.2.0. Released v3.2.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 17:30:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.24/1.16 % SZS status Started for theBenchmark.p
% 2.24/1.16 % SZS status Theorem for theBenchmark.p
% 2.24/1.16
% 2.24/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.24/1.16
% 2.24/1.16 ------ iProver source info
% 2.24/1.16
% 2.24/1.16 git: date: 2024-06-12 09:56:46 +0000
% 2.24/1.16 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.24/1.16 git: non_committed_changes: false
% 2.24/1.16
% 2.24/1.16 ------ Parsing...
% 2.24/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.24/1.16
% 2.24/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.24/1.16
% 2.24/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.24/1.16
% 2.24/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.24/1.16 ------ Proving...
% 2.24/1.16 ------ Problem Properties
% 2.24/1.16
% 2.24/1.16
% 2.24/1.16 clauses 19
% 2.24/1.16 conjectures 1
% 2.24/1.16 EPR 4
% 2.24/1.16 Horn 17
% 2.24/1.16 unary 11
% 2.24/1.16 binary 4
% 2.24/1.16 lits 32
% 2.24/1.16 lits eq 17
% 2.24/1.16 fd_pure 0
% 2.24/1.16 fd_pseudo 0
% 2.24/1.16 fd_cond 0
% 2.24/1.16 fd_pseudo_cond 3
% 2.24/1.16 AC symbols 0
% 2.24/1.16
% 2.24/1.16 ------ Schedule dynamic 5 is on
% 2.24/1.16
% 2.24/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.24/1.16
% 2.24/1.16
% 2.24/1.16 ------
% 2.24/1.16 Current options:
% 2.24/1.16 ------
% 2.24/1.16
% 2.24/1.16
% 2.24/1.16
% 2.24/1.16
% 2.24/1.16 ------ Proving...
% 2.24/1.16
% 2.24/1.16
% 2.24/1.16 % SZS status Theorem for theBenchmark.p
% 2.24/1.16
% 2.24/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.24/1.16
% 2.24/1.16
%------------------------------------------------------------------------------