TSTP Solution File: SYO796+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYO796+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 04:41:25 EDT 2023
% Result : Satisfiable 174.72s 23.84s
% Output : Saturation 174.72s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
( ! [X4] : ~ f(X0,X4)
& ? [X1] :
( ! [X3] : ~ f(X1,X3)
& ? [X2] :
( ~ f(X2,X1)
& f(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f2,axiom,
? [X0] : f(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f3,axiom,
? [X0] :
! [X3] : ~ f(X0,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f4,axiom,
! [X3] :
? [X0] : f(X0,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f5,axiom,
! [X3,X4] :
( ! [X6] :
( f(X4,X6)
| ~ f(X3,X6) )
| ! [X5] :
( ~ f(X5,X4)
| ~ f(X5,X3) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f7,plain,
? [X0] :
( ! [X1] : ~ f(X0,X1)
& ? [X2] :
( ! [X3] : ~ f(X2,X3)
& ? [X4] :
( ~ f(X4,X2)
& f(X4,X0) ) ) ),
inference(rectify,[],[f1]) ).
fof(f8,plain,
? [X0] :
! [X1] : ~ f(X0,X1),
inference(rectify,[],[f3]) ).
fof(f9,plain,
! [X0] :
? [X1] : f(X1,X0),
inference(rectify,[],[f4]) ).
fof(f10,plain,
! [X0,X1] :
( ! [X2] :
( f(X1,X2)
| ~ f(X0,X2) )
| ! [X3] :
( ~ f(X3,X1)
| ~ f(X3,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f11,plain,
! [X0,X1] :
( ! [X2] :
( f(X2,X1)
| ~ f(X2,X0) )
| ! [X3] :
( ~ f(X1,X3)
| ~ f(X0,X3) ) ),
inference(rectify,[],[f6]) ).
fof(f12,plain,
( ? [X0] :
( ! [X1] : ~ f(X0,X1)
& ? [X2] :
( ! [X3] : ~ f(X2,X3)
& ? [X4] :
( ~ f(X4,X2)
& f(X4,X0) ) ) )
=> ( ! [X1] : ~ f(sK0,X1)
& ? [X2] :
( ! [X3] : ~ f(X2,X3)
& ? [X4] :
( ~ f(X4,X2)
& f(X4,sK0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
( ? [X2] :
( ! [X3] : ~ f(X2,X3)
& ? [X4] :
( ~ f(X4,X2)
& f(X4,sK0) ) )
=> ( ! [X3] : ~ f(sK1,X3)
& ? [X4] :
( ~ f(X4,sK1)
& f(X4,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ? [X4] :
( ~ f(X4,sK1)
& f(X4,sK0) )
=> ( ~ f(sK2,sK1)
& f(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ! [X1] : ~ f(sK0,X1)
& ! [X3] : ~ f(sK1,X3)
& ~ f(sK2,sK1)
& f(sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f14,f13,f12]) ).
fof(f16,plain,
( ? [X0] : f(X0,X0)
=> f(sK3,sK3) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
f(sK3,sK3),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f2,f16]) ).
fof(f18,plain,
( ? [X0] :
! [X1] : ~ f(X0,X1)
=> ! [X1] : ~ f(sK4,X1) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X1] : ~ f(sK4,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f8,f18]) ).
fof(f20,plain,
! [X0] :
( ? [X1] : f(X1,X0)
=> f(sK5(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] : f(sK5(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f9,f20]) ).
fof(f22,plain,
f(sK2,sK0),
inference(cnf_transformation,[],[f15]) ).
fof(f23,plain,
~ f(sK2,sK1),
inference(cnf_transformation,[],[f15]) ).
fof(f24,plain,
! [X3] : ~ f(sK1,X3),
inference(cnf_transformation,[],[f15]) ).
fof(f25,plain,
! [X1] : ~ f(sK0,X1),
inference(cnf_transformation,[],[f15]) ).
fof(f26,plain,
f(sK3,sK3),
inference(cnf_transformation,[],[f17]) ).
fof(f27,plain,
! [X1] : ~ f(sK4,X1),
inference(cnf_transformation,[],[f19]) ).
fof(f28,plain,
! [X0] : f(sK5(X0),X0),
inference(cnf_transformation,[],[f21]) ).
fof(f29,plain,
! [X2,X3,X0,X1] :
( f(X1,X2)
| ~ f(X0,X2)
| ~ f(X3,X1)
| ~ f(X3,X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f30,plain,
! [X2,X3,X0,X1] :
( f(X2,X1)
| ~ f(X2,X0)
| ~ f(X1,X3)
| ~ f(X0,X3) ),
inference(cnf_transformation,[],[f11]) ).
cnf(c_49,plain,
~ f(sK0,X0),
inference(cnf_transformation,[],[f25]) ).
cnf(c_50,plain,
~ f(sK1,X0),
inference(cnf_transformation,[],[f24]) ).
cnf(c_51,plain,
~ f(sK2,sK1),
inference(cnf_transformation,[],[f23]) ).
cnf(c_52,plain,
f(sK2,sK0),
inference(cnf_transformation,[],[f22]) ).
cnf(c_53,plain,
f(sK3,sK3),
inference(cnf_transformation,[],[f26]) ).
cnf(c_54,plain,
~ f(sK4,X0),
inference(cnf_transformation,[],[f27]) ).
cnf(c_55,plain,
f(sK5(X0),X0),
inference(cnf_transformation,[],[f28]) ).
cnf(c_56,plain,
( ~ f(X0,X1)
| ~ f(X0,X2)
| ~ f(X2,X3)
| f(X1,X3) ),
inference(cnf_transformation,[],[f29]) ).
cnf(c_57,plain,
( ~ f(X0,X1)
| ~ f(X2,X1)
| ~ f(X3,X2)
| f(X3,X0) ),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO796+1 : TPTP v8.1.2. Released v7.4.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 04:32:38 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 174.72/23.84 % SZS status Started for theBenchmark.p
% 174.72/23.84 % SZS status Satisfiable for theBenchmark.p
% 174.72/23.84
% 174.72/23.84 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 174.72/23.84
% 174.72/23.84 ------ iProver source info
% 174.72/23.84
% 174.72/23.84 git: date: 2023-05-31 18:12:56 +0000
% 174.72/23.84 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 174.72/23.84 git: non_committed_changes: false
% 174.72/23.84 git: last_make_outside_of_git: false
% 174.72/23.84
% 174.72/23.84 ------ Parsing...
% 174.72/23.84 ------ Clausification by vclausify_rel & Parsing by iProver...
% 174.72/23.84
% 174.72/23.84 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 174.72/23.84
% 174.72/23.84 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 174.72/23.84 ------ Proving...
% 174.72/23.84 ------ Problem Properties
% 174.72/23.84
% 174.72/23.84
% 174.72/23.84 clauses 9
% 174.72/23.84 conjectures 0
% 174.72/23.84 EPR 8
% 174.72/23.84 Horn 9
% 174.72/23.84 unary 7
% 174.72/23.84 binary 0
% 174.72/23.84 lits 15
% 174.72/23.84 lits eq 0
% 174.72/23.84 fd_pure 0
% 174.72/23.84 fd_pseudo 0
% 174.72/23.84 fd_cond 0
% 174.72/23.84 fd_pseudo_cond 0
% 174.72/23.84 AC symbols 0
% 174.72/23.84
% 174.72/23.84 ------ Input Options Time Limit: Unbounded
% 174.72/23.84
% 174.72/23.84
% 174.72/23.84 ------
% 174.72/23.84 Current options:
% 174.72/23.84 ------
% 174.72/23.84
% 174.72/23.84
% 174.72/23.84
% 174.72/23.84
% 174.72/23.84 ------ Proving...
% 174.72/23.84
% 174.72/23.84
% 174.72/23.84 % SZS status Satisfiable for theBenchmark.p
% 174.72/23.84
% 174.72/23.84 % SZS output start Saturation for theBenchmark.p
% See solution above
% 174.72/23.84
% 174.72/23.84
%------------------------------------------------------------------------------