TSTP Solution File: SEU026+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEU026+1 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 15:16:14 EDT 2024
% Result : Theorem 3.86s 1.18s
% Output : CNFRefutation 3.86s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( function(function_inverse(X0))
& relation(function_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f29,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f33,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_rng(X0),relation_dom(X1))
=> relation_dom(X0) = relation_dom(relation_composition(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_relat_1) ).
fof(f34,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_dom(X0),relation_rng(X1))
=> relation_rng(X0) = relation_rng(relation_composition(X1,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_relat_1) ).
fof(f36,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_dom(X0) = relation_rng(function_inverse(X0))
& relation_rng(X0) = relation_dom(function_inverse(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
fof(f37,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_rng(X0) = relation_rng(relation_composition(function_inverse(X0),X0))
& relation_rng(X0) = relation_dom(relation_composition(function_inverse(X0),X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t59_funct_1) ).
fof(f38,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_rng(X0) = relation_rng(relation_composition(function_inverse(X0),X0))
& relation_rng(X0) = relation_dom(relation_composition(function_inverse(X0),X0)) ) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f43,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f29]) ).
fof(f51,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f52,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f51]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = relation_dom(relation_composition(X0,X1))
| ~ subset(relation_rng(X0),relation_dom(X1))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = relation_dom(relation_composition(X0,X1))
| ~ subset(relation_rng(X0),relation_dom(X1))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = relation_rng(relation_composition(X1,X0))
| ~ subset(relation_dom(X0),relation_rng(X1))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = relation_rng(relation_composition(X1,X0))
| ~ subset(relation_dom(X0),relation_rng(X1))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(flattening,[],[f73]) ).
fof(f77,plain,
! [X0] :
( ( relation_dom(X0) = relation_rng(function_inverse(X0))
& relation_rng(X0) = relation_dom(function_inverse(X0)) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f78,plain,
! [X0] :
( ( relation_dom(X0) = relation_rng(function_inverse(X0))
& relation_rng(X0) = relation_dom(function_inverse(X0)) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
? [X0] :
( ( relation_rng(X0) != relation_rng(relation_composition(function_inverse(X0),X0))
| relation_rng(X0) != relation_dom(relation_composition(function_inverse(X0),X0)) )
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f80,plain,
? [X0] :
( ( relation_rng(X0) != relation_rng(relation_composition(function_inverse(X0),X0))
| relation_rng(X0) != relation_dom(relation_composition(function_inverse(X0),X0)) )
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(flattening,[],[f79]) ).
fof(f108,plain,
( ? [X0] :
( ( relation_rng(X0) != relation_rng(relation_composition(function_inverse(X0),X0))
| relation_rng(X0) != relation_dom(relation_composition(function_inverse(X0),X0)) )
& one_to_one(X0)
& function(X0)
& relation(X0) )
=> ( ( relation_rng(sK11) != relation_rng(relation_composition(function_inverse(sK11),sK11))
| relation_rng(sK11) != relation_dom(relation_composition(function_inverse(sK11),sK11)) )
& one_to_one(sK11)
& function(sK11)
& relation(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
( ( relation_rng(sK11) != relation_rng(relation_composition(function_inverse(sK11),sK11))
| relation_rng(sK11) != relation_dom(relation_composition(function_inverse(sK11),sK11)) )
& one_to_one(sK11)
& function(sK11)
& relation(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f80,f108]) ).
fof(f116,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f157,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f43]) ).
fof(f162,plain,
! [X0,X1] :
( relation_dom(X0) = relation_dom(relation_composition(X0,X1))
| ~ subset(relation_rng(X0),relation_dom(X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f163,plain,
! [X0,X1] :
( relation_rng(X0) = relation_rng(relation_composition(X1,X0))
| ~ subset(relation_dom(X0),relation_rng(X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f165,plain,
! [X0] :
( relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f166,plain,
! [X0] :
( relation_dom(X0) = relation_rng(function_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f167,plain,
relation(sK11),
inference(cnf_transformation,[],[f109]) ).
fof(f168,plain,
function(sK11),
inference(cnf_transformation,[],[f109]) ).
fof(f169,plain,
one_to_one(sK11),
inference(cnf_transformation,[],[f109]) ).
fof(f170,plain,
( relation_rng(sK11) != relation_rng(relation_composition(function_inverse(sK11),sK11))
| relation_rng(sK11) != relation_dom(relation_composition(function_inverse(sK11),sK11)) ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_54,plain,
( ~ function(X0)
| ~ relation(X0)
| relation(function_inverse(X0)) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_94,plain,
subset(X0,X0),
inference(cnf_transformation,[],[f157]) ).
cnf(c_99,plain,
( ~ subset(relation_rng(X0),relation_dom(X1))
| ~ relation(X0)
| ~ relation(X1)
| relation_dom(relation_composition(X0,X1)) = relation_dom(X0) ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_100,plain,
( ~ subset(relation_dom(X0),relation_rng(X1))
| ~ relation(X0)
| ~ relation(X1)
| relation_rng(relation_composition(X1,X0)) = relation_rng(X0) ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_102,plain,
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| relation_rng(function_inverse(X0)) = relation_dom(X0) ),
inference(cnf_transformation,[],[f166]) ).
cnf(c_103,plain,
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| relation_dom(function_inverse(X0)) = relation_rng(X0) ),
inference(cnf_transformation,[],[f165]) ).
cnf(c_104,negated_conjecture,
( relation_dom(relation_composition(function_inverse(sK11),sK11)) != relation_rng(sK11)
| relation_rng(relation_composition(function_inverse(sK11),sK11)) != relation_rng(sK11) ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_105,negated_conjecture,
one_to_one(sK11),
inference(cnf_transformation,[],[f169]) ).
cnf(c_106,negated_conjecture,
function(sK11),
inference(cnf_transformation,[],[f168]) ).
cnf(c_107,negated_conjecture,
relation(sK11),
inference(cnf_transformation,[],[f167]) ).
cnf(c_137,plain,
( ~ function(sK11)
| ~ relation(sK11)
| ~ one_to_one(sK11)
| relation_dom(function_inverse(sK11)) = relation_rng(sK11) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_138,plain,
( ~ function(sK11)
| ~ relation(sK11)
| ~ one_to_one(sK11)
| relation_rng(function_inverse(sK11)) = relation_dom(sK11) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_750,plain,
( X0 != sK11
| ~ function(X0)
| ~ relation(X0)
| relation_dom(function_inverse(X0)) = relation_rng(X0) ),
inference(resolution_lifted,[status(thm)],[c_103,c_105]) ).
cnf(c_751,plain,
( ~ function(sK11)
| ~ relation(sK11)
| relation_dom(function_inverse(sK11)) = relation_rng(sK11) ),
inference(unflattening,[status(thm)],[c_750]) ).
cnf(c_752,plain,
relation_dom(function_inverse(sK11)) = relation_rng(sK11),
inference(global_subsumption_just,[status(thm)],[c_751,c_107,c_106,c_105,c_137]) ).
cnf(c_757,plain,
( X0 != sK11
| ~ function(X0)
| ~ relation(X0)
| relation_rng(function_inverse(X0)) = relation_dom(X0) ),
inference(resolution_lifted,[status(thm)],[c_102,c_105]) ).
cnf(c_758,plain,
( ~ function(sK11)
| ~ relation(sK11)
| relation_rng(function_inverse(sK11)) = relation_dom(sK11) ),
inference(unflattening,[status(thm)],[c_757]) ).
cnf(c_759,plain,
relation_rng(function_inverse(sK11)) = relation_dom(sK11),
inference(global_subsumption_just,[status(thm)],[c_758,c_107,c_106,c_105,c_138]) ).
cnf(c_1816,plain,
function_inverse(sK11) = sP0_iProver_def,
definition ).
cnf(c_1817,plain,
relation_composition(sP0_iProver_def,sK11) = sP1_iProver_def,
definition ).
cnf(c_1818,plain,
relation_dom(sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_1819,plain,
relation_rng(sK11) = sP3_iProver_def,
definition ).
cnf(c_1820,plain,
relation_rng(sP1_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_1821,negated_conjecture,
relation(sK11),
inference(demodulation,[status(thm)],[c_107]) ).
cnf(c_1822,negated_conjecture,
function(sK11),
inference(demodulation,[status(thm)],[c_106]) ).
cnf(c_1823,negated_conjecture,
( sP2_iProver_def != sP3_iProver_def
| sP4_iProver_def != sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_104,c_1820,c_1819,c_1816,c_1817,c_1818]) ).
cnf(c_2777,plain,
relation_dom(sP0_iProver_def) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_752,c_1816,c_1819]) ).
cnf(c_2778,plain,
relation_dom(sK11) = relation_rng(sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_759,c_1816]) ).
cnf(c_3055,plain,
( ~ function(sK11)
| ~ relation(sK11)
| relation(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_1816,c_54]) ).
cnf(c_3056,plain,
relation(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_3055,c_1821,c_1822]) ).
cnf(c_3722,plain,
( ~ subset(relation_rng(X0),relation_rng(sP0_iProver_def))
| ~ relation(X0)
| ~ relation(sK11)
| relation_dom(relation_composition(X0,sK11)) = relation_dom(X0) ),
inference(superposition,[status(thm)],[c_2778,c_99]) ).
cnf(c_3749,plain,
( ~ subset(relation_rng(X0),relation_rng(sP0_iProver_def))
| ~ relation(X0)
| relation_dom(relation_composition(X0,sK11)) = relation_dom(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3722,c_1821]) ).
cnf(c_3791,plain,
( ~ subset(relation_rng(sP0_iProver_def),relation_rng(X0))
| ~ relation(X0)
| ~ relation(sK11)
| relation_rng(relation_composition(X0,sK11)) = relation_rng(sK11) ),
inference(superposition,[status(thm)],[c_2778,c_100]) ).
cnf(c_3819,plain,
( ~ subset(relation_rng(sP0_iProver_def),relation_rng(X0))
| ~ relation(X0)
| ~ relation(sK11)
| relation_rng(relation_composition(X0,sK11)) = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3791,c_1819]) ).
cnf(c_3820,plain,
( ~ subset(relation_rng(sP0_iProver_def),relation_rng(X0))
| ~ relation(X0)
| relation_rng(relation_composition(X0,sK11)) = sP3_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_3819,c_1821]) ).
cnf(c_3985,plain,
( ~ relation(sP0_iProver_def)
| relation_rng(relation_composition(sP0_iProver_def,sK11)) = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_94,c_3820]) ).
cnf(c_3990,plain,
( ~ relation(sP0_iProver_def)
| sP3_iProver_def = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3985,c_1817,c_1820]) ).
cnf(c_3991,plain,
sP3_iProver_def = sP4_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_3990,c_3056]) ).
cnf(c_4005,plain,
( sP2_iProver_def != sP3_iProver_def
| sP3_iProver_def != sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_1823,c_3991]) ).
cnf(c_4006,plain,
sP2_iProver_def != sP3_iProver_def,
inference(equality_resolution_simp,[status(thm)],[c_4005]) ).
cnf(c_4031,plain,
( ~ relation(sP0_iProver_def)
| relation_dom(relation_composition(sP0_iProver_def,sK11)) = relation_dom(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_94,c_3749]) ).
cnf(c_4035,plain,
( ~ relation(sP0_iProver_def)
| sP2_iProver_def = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4031,c_1817,c_1818,c_2777]) ).
cnf(c_4036,plain,
sP2_iProver_def = sP3_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_4035,c_3056]) ).
cnf(c_4091,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4036,c_4006]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU026+1 : TPTP v8.2.0. Released v3.2.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n019.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 : Fri Jun 21 17:26:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.86/1.18 % SZS status Started for theBenchmark.p
% 3.86/1.18 % SZS status Theorem for theBenchmark.p
% 3.86/1.18
% 3.86/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.86/1.18
% 3.86/1.18 ------ iProver source info
% 3.86/1.18
% 3.86/1.18 git: date: 2024-06-12 09:56:46 +0000
% 3.86/1.18 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.86/1.18 git: non_committed_changes: false
% 3.86/1.18
% 3.86/1.18 ------ Parsing...
% 3.86/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.86/1.18
% 3.86/1.18 ------ 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
% 3.86/1.18
% 3.86/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.86/1.18
% 3.86/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.86/1.18 ------ Proving...
% 3.86/1.18 ------ Problem Properties
% 3.86/1.18
% 3.86/1.18
% 3.86/1.18 clauses 65
% 3.86/1.18 conjectures 3
% 3.86/1.18 EPR 30
% 3.86/1.18 Horn 63
% 3.86/1.18 unary 32
% 3.86/1.18 binary 17
% 3.86/1.18 lits 118
% 3.86/1.18 lits eq 17
% 3.86/1.18 fd_pure 0
% 3.86/1.18 fd_pseudo 0
% 3.86/1.18 fd_cond 1
% 3.86/1.18 fd_pseudo_cond 1
% 3.86/1.18 AC symbols 0
% 3.86/1.18
% 3.86/1.18 ------ Schedule dynamic 5 is on
% 3.86/1.18
% 3.86/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.86/1.18
% 3.86/1.18
% 3.86/1.18 ------
% 3.86/1.18 Current options:
% 3.86/1.18 ------
% 3.86/1.18
% 3.86/1.18
% 3.86/1.18
% 3.86/1.18
% 3.86/1.18 ------ Proving...
% 3.86/1.18
% 3.86/1.18
% 3.86/1.18 % SZS status Theorem for theBenchmark.p
% 3.86/1.18
% 3.86/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.86/1.18
% 3.86/1.19
%------------------------------------------------------------------------------