TSTP Solution File: GRP700+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP700+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 May 3 02:23:29 EDT 2024
% Result : Theorem 7.73s 1.68s
% Output : CNFRefutation 7.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 37 unt; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 17 ~; 7 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn 39 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X1] : mult(X1,unit) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X1] : mult(unit,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(mult(mult(X1,X0),X1),mult(X1,X2)) = mult(X1,mult(mult(mult(X0,X1),X1),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
fof(f9,conjecture,
! [X3] :
? [X4] :
( unit = mult(X3,X4)
& unit = mult(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f10,negated_conjecture,
~ ! [X3] :
? [X4] :
( unit = mult(X3,X4)
& unit = mult(X4,X3) ),
inference(negated_conjecture,[],[f9]) ).
fof(f11,plain,
! [X0] : mult(X0,unit) = X0,
inference(rectify,[],[f5]) ).
fof(f12,plain,
! [X0] : mult(unit,X0) = X0,
inference(rectify,[],[f6]) ).
fof(f13,plain,
! [X0,X1,X2] : mult(mult(mult(X2,X1),X2),mult(X2,X0)) = mult(X2,mult(mult(mult(X1,X2),X2),X0)),
inference(rectify,[],[f7]) ).
fof(f15,plain,
~ ! [X0] :
? [X1] :
( unit = mult(X0,X1)
& mult(X1,X0) = unit ),
inference(rectify,[],[f10]) ).
fof(f16,plain,
? [X0] :
! [X1] :
( unit != mult(X0,X1)
| mult(X1,X0) != unit ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ? [X0] :
! [X1] :
( unit != mult(X0,X1)
| mult(X1,X0) != unit )
=> ! [X1] :
( unit != mult(sK0,X1)
| unit != mult(X1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X1] :
( unit != mult(sK0,X1)
| unit != mult(X1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
fof(f19,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f11]) ).
fof(f24,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f12]) ).
fof(f25,plain,
! [X2,X0,X1] : mult(mult(mult(X2,X1),X2),mult(X2,X0)) = mult(X2,mult(mult(mult(X1,X2),X2),X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f27,plain,
! [X1] :
( unit != mult(sK0,X1)
| unit != mult(X1,sK0) ),
inference(cnf_transformation,[],[f18]) ).
cnf(c_49,plain,
mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[],[f19]) ).
cnf(c_50,plain,
ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[],[f20]) ).
cnf(c_51,plain,
mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f21]) ).
cnf(c_52,plain,
rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f22]) ).
cnf(c_53,plain,
mult(X0,unit) = X0,
inference(cnf_transformation,[],[f23]) ).
cnf(c_54,plain,
mult(unit,X0) = X0,
inference(cnf_transformation,[],[f24]) ).
cnf(c_55,plain,
mult(mult(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(mult(mult(X1,X0),X0),X2)),
inference(cnf_transformation,[],[f25]) ).
cnf(c_57,negated_conjecture,
( mult(X0,sK0) != unit
| mult(sK0,X0) != unit ),
inference(cnf_transformation,[],[f27]) ).
cnf(c_93,negated_conjecture,
( mult(X0,sK0) != unit
| mult(sK0,X0) != unit ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_161,plain,
ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_171,plain,
rd(X0,X0) = unit,
inference(superposition,[status(thm)],[c_54,c_52]) ).
cnf(c_175,plain,
mult(X0,mult(mult(mult(ld(X0,X1),X0),X0),X2)) = mult(mult(X1,X0),mult(X0,X2)),
inference(superposition,[status(thm)],[c_49,c_55]) ).
cnf(c_595,plain,
mult(X0,mult(mult(ld(X0,X1),X0),X0)) = mult(mult(X1,X0),mult(X0,unit)),
inference(superposition,[status(thm)],[c_53,c_175]) ).
cnf(c_625,plain,
mult(X0,mult(mult(ld(X0,X1),X0),X0)) = mult(mult(X1,X0),X0),
inference(light_normalisation,[status(thm)],[c_595,c_53]) ).
cnf(c_1599,plain,
rd(mult(mult(X0,X1),X1),mult(mult(ld(X1,X0),X1),X1)) = X1,
inference(superposition,[status(thm)],[c_625,c_52]) ).
cnf(c_4439,plain,
rd(mult(X0,X0),mult(mult(ld(X0,unit),X0),X0)) = X0,
inference(superposition,[status(thm)],[c_54,c_1599]) ).
cnf(c_4607,plain,
mult(mult(ld(X0,unit),X0),X0) = ld(X0,mult(X0,X0)),
inference(superposition,[status(thm)],[c_4439,c_161]) ).
cnf(c_5218,plain,
mult(mult(ld(X0,unit),X0),X0) = X0,
inference(demodulation,[status(thm)],[c_4607,c_50]) ).
cnf(c_5233,plain,
mult(ld(X0,unit),X0) = rd(X0,X0),
inference(superposition,[status(thm)],[c_5218,c_52]) ).
cnf(c_5286,plain,
mult(ld(X0,unit),X0) = unit,
inference(light_normalisation,[status(thm)],[c_5233,c_171]) ).
cnf(c_6058,plain,
mult(sK0,ld(sK0,unit)) != unit,
inference(superposition,[status(thm)],[c_5286,c_93]) ).
cnf(c_6079,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6058,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP700+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 00:16:36 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 7.73/1.68 % SZS status Started for theBenchmark.p
% 7.73/1.68 % SZS status Theorem for theBenchmark.p
% 7.73/1.68
% 7.73/1.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.73/1.68
% 7.73/1.68 ------ iProver source info
% 7.73/1.68
% 7.73/1.68 git: date: 2024-05-02 19:28:25 +0000
% 7.73/1.68 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.73/1.68 git: non_committed_changes: false
% 7.73/1.68
% 7.73/1.68 ------ Parsing...
% 7.73/1.68 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.73/1.68
% 7.73/1.68 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.73/1.68
% 7.73/1.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.73/1.68
% 7.73/1.68 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.73/1.68 ------ Proving...
% 7.73/1.68 ------ Problem Properties
% 7.73/1.68
% 7.73/1.68
% 7.73/1.68 clauses 9
% 7.73/1.68 conjectures 1
% 7.73/1.68 EPR 0
% 7.73/1.68 Horn 9
% 7.73/1.68 unary 8
% 7.73/1.68 binary 1
% 7.73/1.68 lits 10
% 7.73/1.68 lits eq 10
% 7.73/1.68 fd_pure 0
% 7.73/1.68 fd_pseudo 0
% 7.73/1.68 fd_cond 0
% 7.73/1.68 fd_pseudo_cond 0
% 7.73/1.68 AC symbols 0
% 7.73/1.68
% 7.73/1.68 ------ Schedule dynamic 5 is on
% 7.73/1.68
% 7.73/1.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.73/1.68
% 7.73/1.68
% 7.73/1.68 ------
% 7.73/1.68 Current options:
% 7.73/1.68 ------
% 7.73/1.68
% 7.73/1.68
% 7.73/1.68
% 7.73/1.68
% 7.73/1.68 ------ Proving...
% 7.73/1.68
% 7.73/1.68
% 7.73/1.68 % SZS status Theorem for theBenchmark.p
% 7.73/1.68
% 7.73/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.73/1.68
% 7.73/1.68
%------------------------------------------------------------------------------