TSTP Solution File: GRP396+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP396+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 00:59:42 EDT 2023
% Result : Satisfiable 1.08s 1.13s
% Output : Saturation 1.08s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( ( group_member(X2,X0)
& group_member(X1,X0) )
=> group_member(multiply(X0,X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function) ).
fof(f2,axiom,
! [X0,X1,X2,X3] :
( ( group_member(X3,X0)
& group_member(X2,X0)
& group_member(X1,X0) )
=> multiply(X0,multiply(X0,X1,X2),X3) = multiply(X0,X1,multiply(X0,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f3,plain,
! [X0,X1,X2] :
( group_member(multiply(X0,X1,X2),X0)
| ~ group_member(X2,X0)
| ~ group_member(X1,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f4,plain,
! [X0,X1,X2] :
( group_member(multiply(X0,X1,X2),X0)
| ~ group_member(X2,X0)
| ~ group_member(X1,X0) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
! [X0,X1,X2,X3] :
( multiply(X0,multiply(X0,X1,X2),X3) = multiply(X0,X1,multiply(X0,X2,X3))
| ~ group_member(X3,X0)
| ~ group_member(X2,X0)
| ~ group_member(X1,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f6,plain,
! [X0,X1,X2,X3] :
( multiply(X0,multiply(X0,X1,X2),X3) = multiply(X0,X1,multiply(X0,X2,X3))
| ~ group_member(X3,X0)
| ~ group_member(X2,X0)
| ~ group_member(X1,X0) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
! [X2,X0,X1] :
( group_member(multiply(X0,X1,X2),X0)
| ~ group_member(X2,X0)
| ~ group_member(X1,X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f8,plain,
! [X2,X3,X0,X1] :
( multiply(X0,multiply(X0,X1,X2),X3) = multiply(X0,X1,multiply(X0,X2,X3))
| ~ group_member(X3,X0)
| ~ group_member(X2,X0)
| ~ group_member(X1,X0) ),
inference(cnf_transformation,[],[f6]) ).
cnf(c_49,plain,
( ~ group_member(X0,X1)
| ~ group_member(X2,X1)
| group_member(multiply(X1,X0,X2),X1) ),
inference(cnf_transformation,[],[f7]) ).
cnf(c_50,plain,
( ~ group_member(X0,X1)
| ~ group_member(X2,X1)
| ~ group_member(X3,X1)
| multiply(X1,multiply(X1,X0,X2),X3) = multiply(X1,X0,multiply(X1,X2,X3)) ),
inference(cnf_transformation,[],[f8]) ).
cnf(c_78,plain,
X0 = X0,
theory(equality) ).
cnf(c_79,plain,
X0_1 = X0_1,
theory(equality) ).
cnf(c_80,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_81,plain,
( X0 != X1
| X2 != X3
| multiply(X4,X0,X2) = multiply(X4,X1,X3) ),
theory(equality) ).
cnf(c_82,plain,
( X0 != X1
| ~ group_member(X1,X2)
| group_member(X0,X2) ),
theory(equality) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP396+1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n018.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 : Mon Aug 28 21:58:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.20/0.59 WARNING - Could not infer the problem pformat. Setting FOF as default
% 1.08/1.13 % SZS status Started for theBenchmark.p
% 1.08/1.13 % SZS status Satisfiable for theBenchmark.p
% 1.08/1.13
% 1.08/1.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.08/1.13
% 1.08/1.13 ------ iProver source info
% 1.08/1.13
% 1.08/1.13 git: date: 2023-05-31 18:12:56 +0000
% 1.08/1.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.08/1.13 git: non_committed_changes: false
% 1.08/1.13 git: last_make_outside_of_git: false
% 1.08/1.13
% 1.08/1.13 ------ Parsing...
% 1.08/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.08/1.13
% 1.08/1.13 ------ Preprocessing... sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe_e sf_s rm: 5 0s sf_e pe_s pe_e
% 1.08/1.13
% 1.08/1.13 ------ Preprocessing...------ preprocesses with Option_epr_horn
% 1.08/1.13 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.08/1.13 ------ Proving...
% 1.08/1.13 ------ Problem Properties
% 1.08/1.13
% 1.08/1.13
% 1.08/1.13 clauses 0
% 1.08/1.13 conjectures 0
% 1.08/1.13 EPR 0
% 1.08/1.13 Horn 0
% 1.08/1.13 unary 0
% 1.08/1.13 binary 0
% 1.08/1.13 lits 0
% 1.08/1.13 lits eq 0
% 1.08/1.13 fd_pure 0
% 1.08/1.13 fd_pseudo 0
% 1.08/1.13 fd_cond 0
% 1.08/1.13 fd_pseudo_cond 0
% 1.08/1.13 AC symbols 0
% 1.08/1.13
% 1.08/1.13 ------ Schedule EPR Horn non eq is on
% 1.08/1.13
% 1.08/1.13 ------ no conjectures: strip conj schedule
% 1.08/1.13
% 1.08/1.13 ------ no equalities: superposition off
% 1.08/1.13
% 1.08/1.13 ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 1.08/1.13
% 1.08/1.13
% 1.08/1.13
% 1.08/1.13
% 1.08/1.13 % SZS status Satisfiable for theBenchmark.p
% 1.08/1.13
% 1.08/1.13 % SZS output start Saturation for theBenchmark.p
% See solution above
% 1.08/1.13
% 1.08/1.13
%------------------------------------------------------------------------------