TSTP Solution File: GRP761+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP761+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 : Thu Aug 31 01:01:44 EDT 2023
% Result : Satisfiable 198.99s 26.88s
% Output : Saturation 198.99s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : mult(X0,i(X0)) = e,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0] : mult(X0,e) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1,X2] : mult(X0,mult(X1,X2)) = mult(mult(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0] : o(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0,X1] :
( ( o(X0,X1)
& X0 != X1 )
=> ~ o(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( o(X1,X2)
& o(X0,X1) )
=> o(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( ( o(X2,X3)
& o(X0,X1) )
=> o(mult(X0,X2),mult(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f8,axiom,
( o(e,a)
& e != a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
fof(f9,plain,
! [X0,X1] :
( ~ o(X1,X0)
| ~ o(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f5]) ).
fof(f10,plain,
! [X0,X1] :
( ~ o(X1,X0)
| ~ o(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] :
( o(X0,X2)
| ~ o(X1,X2)
| ~ o(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f12,plain,
! [X0,X1,X2] :
( o(X0,X2)
| ~ o(X1,X2)
| ~ o(X0,X1) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0,X1,X2,X3] :
( o(mult(X0,X2),mult(X1,X3))
| ~ o(X2,X3)
| ~ o(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f14,plain,
! [X0,X1,X2,X3] :
( o(mult(X0,X2),mult(X1,X3))
| ~ o(X2,X3)
| ~ o(X0,X1) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0] : mult(X0,i(X0)) = e,
inference(cnf_transformation,[],[f1]) ).
fof(f16,plain,
! [X0] : mult(X0,e) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f17,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(mult(X0,X1),X2),
inference(cnf_transformation,[],[f3]) ).
fof(f18,plain,
! [X0] : o(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f19,plain,
! [X0,X1] :
( ~ o(X1,X0)
| ~ o(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f20,plain,
! [X2,X0,X1] :
( o(X0,X2)
| ~ o(X1,X2)
| ~ o(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( o(mult(X0,X2),mult(X1,X3))
| ~ o(X2,X3)
| ~ o(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f22,plain,
e != a,
inference(cnf_transformation,[],[f8]) ).
fof(f23,plain,
o(e,a),
inference(cnf_transformation,[],[f8]) ).
cnf(c_49,plain,
mult(X0,i(X0)) = e,
inference(cnf_transformation,[],[f15]) ).
cnf(c_50,plain,
mult(X0,e) = X0,
inference(cnf_transformation,[],[f16]) ).
cnf(c_51,plain,
mult(mult(X0,X1),X2) = mult(X0,mult(X1,X2)),
inference(cnf_transformation,[],[f17]) ).
cnf(c_52,plain,
o(X0,X0),
inference(cnf_transformation,[],[f18]) ).
cnf(c_53,plain,
( ~ o(X0,X1)
| ~ o(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f19]) ).
cnf(c_54,plain,
( ~ o(X0,X1)
| ~ o(X1,X2)
| o(X0,X2) ),
inference(cnf_transformation,[],[f20]) ).
cnf(c_55,plain,
( ~ o(X0,X1)
| ~ o(X2,X3)
| o(mult(X0,X2),mult(X1,X3)) ),
inference(cnf_transformation,[],[f21]) ).
cnf(c_56,plain,
o(e,a),
inference(cnf_transformation,[],[f23]) ).
cnf(c_57,plain,
e != a,
inference(cnf_transformation,[],[f22]) ).
cnf(c_95,plain,
X0_1 = X0_1,
theory(equality) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP761+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n004.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 : Tue Aug 29 01:33:07 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 198.99/26.88 % SZS status Started for theBenchmark.p
% 198.99/26.88 % SZS status Satisfiable for theBenchmark.p
% 198.99/26.88
% 198.99/26.88 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 198.99/26.88
% 198.99/26.88 ------ iProver source info
% 198.99/26.88
% 198.99/26.88 git: date: 2023-05-31 18:12:56 +0000
% 198.99/26.88 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 198.99/26.88 git: non_committed_changes: false
% 198.99/26.88 git: last_make_outside_of_git: false
% 198.99/26.88
% 198.99/26.88 ------ Parsing...
% 198.99/26.88 ------ Clausification by vclausify_rel & Parsing by iProver...
% 198.99/26.88
% 198.99/26.88 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 198.99/26.88
% 198.99/26.88 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 198.99/26.88
% 198.99/26.88 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 198.99/26.88 ------ Proving...
% 198.99/26.88 ------ Problem Properties
% 198.99/26.88
% 198.99/26.88
% 198.99/26.88 clauses 9
% 198.99/26.88 conjectures 0
% 198.99/26.88 EPR 5
% 198.99/26.88 Horn 9
% 198.99/26.88 unary 6
% 198.99/26.88 binary 0
% 198.99/26.88 lits 15
% 198.99/26.88 lits eq 5
% 198.99/26.88 fd_pure 0
% 198.99/26.88 fd_pseudo 0
% 198.99/26.88 fd_cond 0
% 198.99/26.88 fd_pseudo_cond 1
% 198.99/26.88 AC symbols 0
% 198.99/26.88
% 198.99/26.88 ------ Input Options Time Limit: Unbounded
% 198.99/26.88
% 198.99/26.88
% 198.99/26.88 ------
% 198.99/26.88 Current options:
% 198.99/26.88 ------
% 198.99/26.88
% 198.99/26.88
% 198.99/26.88
% 198.99/26.88
% 198.99/26.88 ------ Proving...
% 198.99/26.88
% 198.99/26.88
% 198.99/26.88 % SZS status Satisfiable for theBenchmark.p
% 198.99/26.88
% 198.99/26.88 % SZS output start Saturation for theBenchmark.p
% See solution above
% 198.99/26.88
% 198.99/26.88
%------------------------------------------------------------------------------