TSTP Solution File: SYO812+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYO812+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 : Fri Sep 1 04:41:29 EDT 2023
% Result : Satisfiable 178.79s 24.79s
% Output : Saturation 178.79s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
( ! [X5] :
( ~ f(X0,X5)
| ! [X6] :
( ~ f(X0,X6)
| ! [X7] :
( f(X6,X7)
| ~ f(X5,X7) ) ) )
& ! [X4] : ~ f(X4,X0)
& ? [X1] :
( ! [X3] : ~ f(X3,X1)
& ? [X2] :
( ~ f(X1,X2)
& f(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f2,axiom,
? [X0] :
( ! [X5] :
( ! [X7] :
( ~ f(X0,X7)
| f(X5,X7) )
| ! [X6] :
( ~ f(X6,X0)
| ~ f(X6,X5) ) )
& ? [X2] :
( ! [X4] : ~ f(X4,X2)
& ~ f(X2,X0) )
& ? [X1] :
( ! [X3] : ~ f(X3,X1)
& f(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f3,axiom,
? [X0] :
( ! [X5] :
( ! [X7] :
( f(X0,X7)
| ~ f(X5,X7) )
| ! [X6] :
( ~ f(X6,X0)
| ~ f(X6,X5) ) )
& ? [X2] :
( ! [X4] : ~ f(X4,X2)
& ~ f(X2,X0) )
& ? [X1] :
( ! [X3] : ~ f(X3,X1)
& f(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f4,axiom,
? [X0] : f(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f5,axiom,
! [X3] :
? [X0] :
( ! [X4] :
( ~ f(X0,X4)
| ! [X5] :
( ~ f(X0,X5)
| ! [X6] :
( f(X5,X6)
| ~ f(X4,X6) ) ) )
& f(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f6,axiom,
! [X3,X4] :
( ! [X6] :
( f(X6,X4)
| ~ f(X6,X3) )
| ! [X5] :
( ~ f(X4,X5)
| ~ f(X3,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f7,axiom,
! [X3,X4] :
( ! [X6] :
( f(X4,X6)
| ~ f(X3,X6) )
| ! [X5] :
( ~ f(X5,X4)
| ~ f(X5,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,plain,
? [X0] :
( ! [X1] :
( ~ f(X0,X1)
| ! [X2] :
( ~ f(X0,X2)
| ! [X3] :
( f(X2,X3)
| ~ f(X1,X3) ) ) )
& ! [X4] : ~ f(X4,X0)
& ? [X5] :
( ! [X6] : ~ f(X6,X5)
& ? [X7] :
( ~ f(X5,X7)
& f(X0,X7) ) ) ),
inference(rectify,[],[f1]) ).
fof(f10,plain,
? [X0] :
( ! [X1] :
( ! [X2] :
( ~ f(X0,X2)
| f(X1,X2) )
| ! [X3] :
( ~ f(X3,X0)
| ~ f(X3,X1) ) )
& ? [X4] :
( ! [X5] : ~ f(X5,X4)
& ~ f(X4,X0) )
& ? [X6] :
( ! [X7] : ~ f(X7,X6)
& f(X6,X0) ) ),
inference(rectify,[],[f2]) ).
fof(f11,plain,
? [X0] :
( ! [X1] :
( ! [X2] :
( f(X0,X2)
| ~ f(X1,X2) )
| ! [X3] :
( ~ f(X3,X0)
| ~ f(X3,X1) ) )
& ? [X4] :
( ! [X5] : ~ f(X5,X4)
& ~ f(X4,X0) )
& ? [X6] :
( ! [X7] : ~ f(X7,X6)
& f(X6,X0) ) ),
inference(rectify,[],[f3]) ).
fof(f12,plain,
! [X0] :
? [X1] :
( ! [X2] :
( ~ f(X1,X2)
| ! [X3] :
( ~ f(X1,X3)
| ! [X4] :
( f(X3,X4)
| ~ f(X2,X4) ) ) )
& f(X0,X1) ),
inference(rectify,[],[f5]) ).
fof(f13,plain,
! [X0,X1] :
( ! [X2] :
( f(X2,X1)
| ~ f(X2,X0) )
| ! [X3] :
( ~ f(X1,X3)
| ~ f(X0,X3) ) ),
inference(rectify,[],[f6]) ).
fof(f14,plain,
! [X0,X1] :
( ! [X2] :
( f(X1,X2)
| ~ f(X0,X2) )
| ! [X3] :
( ~ f(X3,X1)
| ~ f(X3,X0) ) ),
inference(rectify,[],[f7]) ).
fof(f16,plain,
( ? [X0] :
( ! [X1] :
( ~ f(X0,X1)
| ! [X2] :
( ~ f(X0,X2)
| ! [X3] :
( f(X2,X3)
| ~ f(X1,X3) ) ) )
& ! [X4] : ~ f(X4,X0)
& ? [X5] :
( ! [X6] : ~ f(X6,X5)
& ? [X7] :
( ~ f(X5,X7)
& f(X0,X7) ) ) )
=> ( ! [X1] :
( ~ f(sK0,X1)
| ! [X2] :
( ~ f(sK0,X2)
| ! [X3] :
( f(X2,X3)
| ~ f(X1,X3) ) ) )
& ! [X4] : ~ f(X4,sK0)
& ? [X5] :
( ! [X6] : ~ f(X6,X5)
& ? [X7] :
( ~ f(X5,X7)
& f(sK0,X7) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X5] :
( ! [X6] : ~ f(X6,X5)
& ? [X7] :
( ~ f(X5,X7)
& f(sK0,X7) ) )
=> ( ! [X6] : ~ f(X6,sK1)
& ? [X7] :
( ~ f(sK1,X7)
& f(sK0,X7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X7] :
( ~ f(sK1,X7)
& f(sK0,X7) )
=> ( ~ f(sK1,sK2)
& f(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ! [X1] :
( ~ f(sK0,X1)
| ! [X2] :
( ~ f(sK0,X2)
| ! [X3] :
( f(X2,X3)
| ~ f(X1,X3) ) ) )
& ! [X4] : ~ f(X4,sK0)
& ! [X6] : ~ f(X6,sK1)
& ~ f(sK1,sK2)
& f(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f9,f18,f17,f16]) ).
fof(f20,plain,
( ? [X0] :
( ! [X1] :
( ! [X2] :
( ~ f(X0,X2)
| f(X1,X2) )
| ! [X3] :
( ~ f(X3,X0)
| ~ f(X3,X1) ) )
& ? [X4] :
( ! [X5] : ~ f(X5,X4)
& ~ f(X4,X0) )
& ? [X6] :
( ! [X7] : ~ f(X7,X6)
& f(X6,X0) ) )
=> ( ! [X1] :
( ! [X2] :
( ~ f(sK3,X2)
| f(X1,X2) )
| ! [X3] :
( ~ f(X3,sK3)
| ~ f(X3,X1) ) )
& ? [X4] :
( ! [X5] : ~ f(X5,X4)
& ~ f(X4,sK3) )
& ? [X6] :
( ! [X7] : ~ f(X7,X6)
& f(X6,sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
( ? [X4] :
( ! [X5] : ~ f(X5,X4)
& ~ f(X4,sK3) )
=> ( ! [X5] : ~ f(X5,sK4)
& ~ f(sK4,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( ? [X6] :
( ! [X7] : ~ f(X7,X6)
& f(X6,sK3) )
=> ( ! [X7] : ~ f(X7,sK5)
& f(sK5,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ! [X1] :
( ! [X2] :
( ~ f(sK3,X2)
| f(X1,X2) )
| ! [X3] :
( ~ f(X3,sK3)
| ~ f(X3,X1) ) )
& ! [X5] : ~ f(X5,sK4)
& ~ f(sK4,sK3)
& ! [X7] : ~ f(X7,sK5)
& f(sK5,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f10,f22,f21,f20]) ).
fof(f24,plain,
( ? [X0] :
( ! [X1] :
( ! [X2] :
( f(X0,X2)
| ~ f(X1,X2) )
| ! [X3] :
( ~ f(X3,X0)
| ~ f(X3,X1) ) )
& ? [X4] :
( ! [X5] : ~ f(X5,X4)
& ~ f(X4,X0) )
& ? [X6] :
( ! [X7] : ~ f(X7,X6)
& f(X6,X0) ) )
=> ( ! [X1] :
( ! [X2] :
( f(sK6,X2)
| ~ f(X1,X2) )
| ! [X3] :
( ~ f(X3,sK6)
| ~ f(X3,X1) ) )
& ? [X4] :
( ! [X5] : ~ f(X5,X4)
& ~ f(X4,sK6) )
& ? [X6] :
( ! [X7] : ~ f(X7,X6)
& f(X6,sK6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
( ? [X4] :
( ! [X5] : ~ f(X5,X4)
& ~ f(X4,sK6) )
=> ( ! [X5] : ~ f(X5,sK7)
& ~ f(sK7,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
( ? [X6] :
( ! [X7] : ~ f(X7,X6)
& f(X6,sK6) )
=> ( ! [X7] : ~ f(X7,sK8)
& f(sK8,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
( ! [X1] :
( ! [X2] :
( f(sK6,X2)
| ~ f(X1,X2) )
| ! [X3] :
( ~ f(X3,sK6)
| ~ f(X3,X1) ) )
& ! [X5] : ~ f(X5,sK7)
& ~ f(sK7,sK6)
& ! [X7] : ~ f(X7,sK8)
& f(sK8,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f11,f26,f25,f24]) ).
fof(f28,plain,
( ? [X0] : f(X0,X0)
=> f(sK9,sK9) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
f(sK9,sK9),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f4,f28]) ).
fof(f30,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ f(X1,X2)
| ! [X3] :
( ~ f(X1,X3)
| ! [X4] :
( f(X3,X4)
| ~ f(X2,X4) ) ) )
& f(X0,X1) )
=> ( ! [X2] :
( ~ f(sK10(X0),X2)
| ! [X3] :
( ~ f(sK10(X0),X3)
| ! [X4] :
( f(X3,X4)
| ~ f(X2,X4) ) ) )
& f(X0,sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
( ! [X2] :
( ~ f(sK10(X0),X2)
| ! [X3] :
( ~ f(sK10(X0),X3)
| ! [X4] :
( f(X3,X4)
| ~ f(X2,X4) ) ) )
& f(X0,sK10(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f12,f30]) ).
fof(f32,plain,
f(sK0,sK2),
inference(cnf_transformation,[],[f19]) ).
fof(f33,plain,
~ f(sK1,sK2),
inference(cnf_transformation,[],[f19]) ).
fof(f34,plain,
! [X6] : ~ f(X6,sK1),
inference(cnf_transformation,[],[f19]) ).
fof(f35,plain,
! [X4] : ~ f(X4,sK0),
inference(cnf_transformation,[],[f19]) ).
fof(f37,plain,
f(sK5,sK3),
inference(cnf_transformation,[],[f23]) ).
fof(f38,plain,
! [X7] : ~ f(X7,sK5),
inference(cnf_transformation,[],[f23]) ).
fof(f39,plain,
~ f(sK4,sK3),
inference(cnf_transformation,[],[f23]) ).
fof(f40,plain,
! [X5] : ~ f(X5,sK4),
inference(cnf_transformation,[],[f23]) ).
fof(f42,plain,
f(sK8,sK6),
inference(cnf_transformation,[],[f27]) ).
fof(f43,plain,
! [X7] : ~ f(X7,sK8),
inference(cnf_transformation,[],[f27]) ).
fof(f44,plain,
~ f(sK7,sK6),
inference(cnf_transformation,[],[f27]) ).
fof(f45,plain,
! [X5] : ~ f(X5,sK7),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
f(sK9,sK9),
inference(cnf_transformation,[],[f29]) ).
fof(f48,plain,
! [X0] : f(X0,sK10(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( f(X2,X1)
| ~ f(X2,X0)
| ~ f(X1,X3)
| ~ f(X0,X3) ),
inference(cnf_transformation,[],[f13]) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( f(X1,X2)
| ~ f(X0,X2)
| ~ f(X3,X1)
| ~ f(X3,X0) ),
inference(cnf_transformation,[],[f14]) ).
cnf(c_50,plain,
~ f(X0,sK0),
inference(cnf_transformation,[],[f35]) ).
cnf(c_51,plain,
~ f(X0,sK1),
inference(cnf_transformation,[],[f34]) ).
cnf(c_52,plain,
~ f(sK1,sK2),
inference(cnf_transformation,[],[f33]) ).
cnf(c_53,plain,
f(sK0,sK2),
inference(cnf_transformation,[],[f32]) ).
cnf(c_55,plain,
~ f(X0,sK4),
inference(cnf_transformation,[],[f40]) ).
cnf(c_56,plain,
~ f(sK4,sK3),
inference(cnf_transformation,[],[f39]) ).
cnf(c_57,plain,
~ f(X0,sK5),
inference(cnf_transformation,[],[f38]) ).
cnf(c_58,plain,
f(sK5,sK3),
inference(cnf_transformation,[],[f37]) ).
cnf(c_60,plain,
~ f(X0,sK7),
inference(cnf_transformation,[],[f45]) ).
cnf(c_61,plain,
~ f(sK7,sK6),
inference(cnf_transformation,[],[f44]) ).
cnf(c_62,plain,
~ f(X0,sK8),
inference(cnf_transformation,[],[f43]) ).
cnf(c_63,plain,
f(sK8,sK6),
inference(cnf_transformation,[],[f42]) ).
cnf(c_64,plain,
f(sK9,sK9),
inference(cnf_transformation,[],[f47]) ).
cnf(c_66,plain,
f(X0,sK10(X0)),
inference(cnf_transformation,[],[f48]) ).
cnf(c_67,plain,
( ~ f(X0,X1)
| ~ f(X2,X3)
| ~ f(X3,X1)
| f(X2,X0) ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_68,plain,
( ~ f(X0,X1)
| ~ f(X0,X2)
| ~ f(X2,X3)
| f(X1,X3) ),
inference(cnf_transformation,[],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO812+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 04:35:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 178.79/24.79 % SZS status Started for theBenchmark.p
% 178.79/24.79 % SZS status Satisfiable for theBenchmark.p
% 178.79/24.79
% 178.79/24.79 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 178.79/24.79
% 178.79/24.79 ------ iProver source info
% 178.79/24.79
% 178.79/24.79 git: date: 2023-05-31 18:12:56 +0000
% 178.79/24.79 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 178.79/24.79 git: non_committed_changes: false
% 178.79/24.79 git: last_make_outside_of_git: false
% 178.79/24.79
% 178.79/24.79 ------ Parsing...
% 178.79/24.79 ------ Clausification by vclausify_rel & Parsing by iProver...
% 178.79/24.79
% 178.79/24.79 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 178.79/24.79
% 178.79/24.79 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 178.79/24.79 ------ Proving...
% 178.79/24.79 ------ Problem Properties
% 178.79/24.79
% 178.79/24.79
% 178.79/24.79 clauses 16
% 178.79/24.79 conjectures 0
% 178.79/24.79 EPR 15
% 178.79/24.79 Horn 16
% 178.79/24.79 unary 14
% 178.79/24.79 binary 0
% 178.79/24.79 lits 22
% 178.79/24.79 lits eq 0
% 178.79/24.79 fd_pure 0
% 178.79/24.79 fd_pseudo 0
% 178.79/24.79 fd_cond 0
% 178.79/24.79 fd_pseudo_cond 0
% 178.79/24.79 AC symbols 0
% 178.79/24.79
% 178.79/24.79 ------ Input Options Time Limit: Unbounded
% 178.79/24.79
% 178.79/24.79
% 178.79/24.79 ------
% 178.79/24.79 Current options:
% 178.79/24.79 ------
% 178.79/24.79
% 178.79/24.79
% 178.79/24.79
% 178.79/24.79
% 178.79/24.79 ------ Proving...
% 178.79/24.79
% 178.79/24.79
% 178.79/24.79 % SZS status Satisfiable for theBenchmark.p
% 178.79/24.79
% 178.79/24.79 % SZS output start Saturation for theBenchmark.p
% See solution above
% 178.79/24.79
% 178.79/24.79
%------------------------------------------------------------------------------