TSTP Solution File: SET899+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET899+1 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 14:36:30 EDT 2024
% Result : Theorem 1.78s 1.18s
% Output : CNFRefutation 1.78s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f5,conjecture,
! [X0,X1,X2] :
( subset(X0,X1)
=> ( subset(X0,set_difference(X1,singleton(X2)))
| in(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_zfmisc_1) ).
fof(f6,negated_conjecture,
~ ! [X0,X1,X2] :
( subset(X0,X1)
=> ( subset(X0,set_difference(X1,singleton(X2)))
| in(X2,X0) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> ( subset(X0,set_difference(X1,singleton(X2)))
| in(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_zfmisc_1) ).
fof(f10,plain,
? [X0,X1,X2] :
( ~ subset(X0,set_difference(X1,singleton(X2)))
& ~ in(X2,X0)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f11,plain,
? [X0,X1,X2] :
( ~ subset(X0,set_difference(X1,singleton(X2)))
& ~ in(X2,X0)
& subset(X0,X1) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
! [X0,X1,X2] :
( subset(X0,set_difference(X1,singleton(X2)))
| in(X2,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f13,plain,
! [X0,X1,X2] :
( subset(X0,set_difference(X1,singleton(X2)))
| in(X2,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f12]) ).
fof(f18,plain,
( ? [X0,X1,X2] :
( ~ subset(X0,set_difference(X1,singleton(X2)))
& ~ in(X2,X0)
& subset(X0,X1) )
=> ( ~ subset(sK2,set_difference(sK3,singleton(sK4)))
& ~ in(sK4,sK2)
& subset(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ~ subset(sK2,set_difference(sK3,singleton(sK4)))
& ~ in(sK4,sK2)
& subset(sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f11,f18]) ).
fof(f24,plain,
subset(sK2,sK3),
inference(cnf_transformation,[],[f19]) ).
fof(f25,plain,
~ in(sK4,sK2),
inference(cnf_transformation,[],[f19]) ).
fof(f26,plain,
~ subset(sK2,set_difference(sK3,singleton(sK4))),
inference(cnf_transformation,[],[f19]) ).
fof(f27,plain,
! [X2,X0,X1] :
( subset(X0,set_difference(X1,singleton(X2)))
| in(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
cnf(c_53,negated_conjecture,
~ subset(sK2,set_difference(sK3,singleton(sK4))),
inference(cnf_transformation,[],[f26]) ).
cnf(c_54,negated_conjecture,
~ in(sK4,sK2),
inference(cnf_transformation,[],[f25]) ).
cnf(c_55,negated_conjecture,
subset(sK2,sK3),
inference(cnf_transformation,[],[f24]) ).
cnf(c_56,plain,
( ~ subset(X0,X1)
| subset(X0,set_difference(X1,singleton(X2)))
| in(X2,X0) ),
inference(cnf_transformation,[],[f27]) ).
cnf(c_100,plain,
singleton(sK4) = sP0_iProver_def,
definition ).
cnf(c_101,plain,
set_difference(sK3,sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_104,negated_conjecture,
~ subset(sK2,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_53,c_100,c_101]) ).
cnf(c_238,plain,
( ~ subset(X0,X1)
| subset(X0,set_difference(X1,sP0_iProver_def))
| in(sK4,X0) ),
inference(superposition,[status(thm)],[c_100,c_56]) ).
cnf(c_249,plain,
( ~ subset(X0,sK3)
| subset(X0,sP1_iProver_def)
| in(sK4,X0) ),
inference(superposition,[status(thm)],[c_101,c_238]) ).
cnf(c_253,plain,
( ~ subset(sK2,sK3)
| subset(sK2,sP1_iProver_def)
| in(sK4,sK2) ),
inference(instantiation,[status(thm)],[c_249]) ).
cnf(c_254,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_253,c_104,c_54,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET899+1 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n020.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 : Sun Jun 23 12:24:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 1.78/1.18 % SZS status Started for theBenchmark.p
% 1.78/1.18 % SZS status Theorem for theBenchmark.p
% 1.78/1.18
% 1.78/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.78/1.18
% 1.78/1.18 ------ iProver source info
% 1.78/1.18
% 1.78/1.18 git: date: 2024-06-12 09:56:46 +0000
% 1.78/1.18 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 1.78/1.18 git: non_committed_changes: false
% 1.78/1.18
% 1.78/1.18 ------ Parsing...
% 1.78/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.78/1.18
% 1.78/1.18 ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.78/1.18
% 1.78/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.78/1.18
% 1.78/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.78/1.18 ------ Proving...
% 1.78/1.18 ------ Problem Properties
% 1.78/1.18
% 1.78/1.18
% 1.78/1.18 clauses 8
% 1.78/1.18 conjectures 3
% 1.78/1.18 EPR 5
% 1.78/1.18 Horn 7
% 1.78/1.18 unary 6
% 1.78/1.18 binary 1
% 1.78/1.18 lits 11
% 1.78/1.18 lits eq 2
% 1.78/1.18 fd_pure 0
% 1.78/1.18 fd_pseudo 0
% 1.78/1.18 fd_cond 0
% 1.78/1.18 fd_pseudo_cond 0
% 1.78/1.18 AC symbols 0
% 1.78/1.18
% 1.78/1.18 ------ Schedule dynamic 5 is on
% 1.78/1.18
% 1.78/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.78/1.18
% 1.78/1.18
% 1.78/1.18 ------
% 1.78/1.18 Current options:
% 1.78/1.18 ------
% 1.78/1.18
% 1.78/1.18
% 1.78/1.18
% 1.78/1.18
% 1.78/1.18 ------ Proving...
% 1.78/1.18
% 1.78/1.18
% 1.78/1.18 % SZS status Theorem for theBenchmark.p
% 1.78/1.18
% 1.78/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.78/1.18
% 1.78/1.18
%------------------------------------------------------------------------------