TSTP Solution File: GRP778+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP778+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 01:01:48 EDT 2023
% Result : CounterSatisfiable 261.66s 34.88s
% Output : Saturation 261.66s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : difference(X1,product(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos01) ).
fof(f2,axiom,
! [X0,X1] : product(X1,difference(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos02) ).
fof(f3,axiom,
! [X0,X1] : quotient(product(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos03) ).
fof(f4,axiom,
! [X0,X1] : product(quotient(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos04) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : product(product(X1,X0),product(X3,X2)) = product(product(X1,X3),product(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos05) ).
fof(f6,axiom,
! [X1] : product(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos06) ).
fof(f7,axiom,
! [X0,X1] : product(product(product(X1,X0),X0),product(X0,product(X0,X1))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos07) ).
fof(f8,axiom,
! [X4,X5,X6] :
( d(X4,X5,X6)
<=> product(X4,X5) = product(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos08) ).
fof(f9,axiom,
! [X7,X8,X9] :
( m(X7,X8,X9)
<=> product(product(X7,X8),product(X8,X9)) = product(X7,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos09) ).
fof(f10,axiom,
d(a1,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos10) ).
fof(f11,axiom,
d(a,b1,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos11) ).
fof(f12,axiom,
d(a,b,c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos12) ).
fof(f13,axiom,
d(a2,b1,c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos13) ).
fof(f14,axiom,
d(a1,b2,c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos14) ).
fof(f15,axiom,
d(a1,b1,c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos15) ).
fof(f16,conjecture,
m(b1,b,b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f17,negated_conjecture,
~ m(b1,b,b2),
inference(negated_conjecture,[],[f16]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : product(product(X3,X2),product(X1,X0)) = product(product(X3,X1),product(X2,X0)),
inference(rectify,[],[f5]) ).
fof(f19,plain,
! [X0] : product(X0,X0) = X0,
inference(rectify,[],[f6]) ).
fof(f20,plain,
! [X0,X1,X2] :
( d(X0,X1,X2)
<=> product(X0,X1) = product(X1,X2) ),
inference(rectify,[],[f8]) ).
fof(f21,plain,
! [X0,X1,X2] :
( m(X0,X1,X2)
<=> product(X0,X2) = product(product(X0,X1),product(X1,X2)) ),
inference(rectify,[],[f9]) ).
fof(f22,plain,
~ m(b1,b,b2),
inference(flattening,[],[f17]) ).
fof(f23,plain,
! [X0,X1,X2] :
( product(X0,X2) = product(product(X0,X1),product(X1,X2))
=> m(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f21]) ).
fof(f24,plain,
! [X0,X1,X2] :
( d(X0,X1,X2)
=> product(X0,X1) = product(X1,X2) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
fof(f25,plain,
! [X0,X1,X2] :
( product(X0,X1) = product(X1,X2)
| ~ d(X0,X1,X2) ),
inference(ennf_transformation,[],[f24]) ).
fof(f26,plain,
! [X0,X1,X2] :
( m(X0,X1,X2)
| product(X0,X2) != product(product(X0,X1),product(X1,X2)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f27,plain,
! [X0,X1] : difference(X1,product(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0,X1] : product(X1,difference(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
! [X0,X1] : quotient(product(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0,X1] : product(quotient(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f31,plain,
! [X2,X3,X0,X1] : product(product(X3,X2),product(X1,X0)) = product(product(X3,X1),product(X2,X0)),
inference(cnf_transformation,[],[f18]) ).
fof(f32,plain,
! [X0] : product(X0,X0) = X0,
inference(cnf_transformation,[],[f19]) ).
fof(f33,plain,
! [X0,X1] : product(product(product(X1,X0),X0),product(X0,product(X0,X1))) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f34,plain,
! [X2,X0,X1] :
( product(X0,X1) = product(X1,X2)
| ~ d(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f35,plain,
! [X2,X0,X1] :
( m(X0,X1,X2)
| product(X0,X2) != product(product(X0,X1),product(X1,X2)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f36,plain,
d(a1,b,c),
inference(cnf_transformation,[],[f10]) ).
fof(f37,plain,
d(a,b1,c),
inference(cnf_transformation,[],[f11]) ).
fof(f38,plain,
d(a,b,c1),
inference(cnf_transformation,[],[f12]) ).
fof(f39,plain,
d(a2,b1,c1),
inference(cnf_transformation,[],[f13]) ).
fof(f40,plain,
d(a1,b2,c1),
inference(cnf_transformation,[],[f14]) ).
fof(f41,plain,
d(a1,b1,c2),
inference(cnf_transformation,[],[f15]) ).
fof(f42,plain,
~ m(b1,b,b2),
inference(cnf_transformation,[],[f22]) ).
cnf(c_49,plain,
difference(X0,product(X0,X1)) = X1,
inference(cnf_transformation,[],[f27]) ).
cnf(c_50,plain,
product(X0,difference(X0,X1)) = X1,
inference(cnf_transformation,[],[f28]) ).
cnf(c_51,plain,
quotient(product(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f29]) ).
cnf(c_52,plain,
product(quotient(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f30]) ).
cnf(c_53,plain,
product(product(X0,X1),product(X2,X3)) = product(product(X0,X2),product(X1,X3)),
inference(cnf_transformation,[],[f31]) ).
cnf(c_54,plain,
product(X0,X0) = X0,
inference(cnf_transformation,[],[f32]) ).
cnf(c_55,plain,
product(product(product(X0,X1),X1),product(X1,product(X1,X0))) = X1,
inference(cnf_transformation,[],[f33]) ).
cnf(c_56,plain,
( ~ d(X0,X1,X2)
| product(X0,X1) = product(X1,X2) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_57,plain,
( product(product(X0,X1),product(X1,X2)) != product(X0,X2)
| m(X0,X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
cnf(c_58,plain,
d(a1,b,c),
inference(cnf_transformation,[],[f36]) ).
cnf(c_59,plain,
d(a,b1,c),
inference(cnf_transformation,[],[f37]) ).
cnf(c_60,plain,
d(a,b,c1),
inference(cnf_transformation,[],[f38]) ).
cnf(c_61,plain,
d(a2,b1,c1),
inference(cnf_transformation,[],[f39]) ).
cnf(c_62,plain,
d(a1,b2,c1),
inference(cnf_transformation,[],[f40]) ).
cnf(c_63,plain,
d(a1,b1,c2),
inference(cnf_transformation,[],[f41]) ).
cnf(c_64,negated_conjecture,
~ m(b1,b,b2),
inference(cnf_transformation,[],[f42]) ).
cnf(c_111,plain,
X0_1 = X0_1,
theory(equality) ).
cnf(c_116,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ d(X1,X3,X5)
| d(X0,X2,X4) ),
theory(equality) ).
cnf(c_117,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ m(X1,X3,X5)
| m(X0,X2,X4) ),
theory(equality) ).
cnf(c_118,plain,
( product(product(X0,X1),product(X1,X2)) != product(X0,X2)
| X0 != b1
| X1 != b
| X2 != b2 ),
inference(resolution_lifted,[status(thm)],[c_57,c_64]) ).
cnf(c_119,plain,
product(product(b1,b),product(b,b2)) != product(b1,b2),
inference(unflattening,[status(thm)],[c_118]) ).
cnf(c_124,plain,
( X0 != a1
| X1 != b
| X2 != c
| product(X0,X1) = product(X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_56,c_58]) ).
cnf(c_125,plain,
product(a1,b) = product(b,c),
inference(unflattening,[status(thm)],[c_124]) ).
cnf(c_129,plain,
( X0 != a
| X1 != b1
| X2 != c
| product(X0,X1) = product(X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_56,c_59]) ).
cnf(c_130,plain,
product(a,b1) = product(b1,c),
inference(unflattening,[status(thm)],[c_129]) ).
cnf(c_134,plain,
( X0 != a
| X1 != b
| X2 != c1
| product(X0,X1) = product(X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_56,c_60]) ).
cnf(c_135,plain,
product(a,b) = product(b,c1),
inference(unflattening,[status(thm)],[c_134]) ).
cnf(c_139,plain,
( X0 != a2
| X1 != b1
| X2 != c1
| product(X0,X1) = product(X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_56,c_61]) ).
cnf(c_140,plain,
product(a2,b1) = product(b1,c1),
inference(unflattening,[status(thm)],[c_139]) ).
cnf(c_144,plain,
( X0 != a1
| X1 != b2
| X2 != c1
| product(X0,X1) = product(X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_56,c_62]) ).
cnf(c_145,plain,
product(a1,b2) = product(b2,c1),
inference(unflattening,[status(thm)],[c_144]) ).
cnf(c_149,plain,
( X0 != a1
| X1 != b1
| X2 != c2
| product(X0,X1) = product(X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_56,c_63]) ).
cnf(c_150,plain,
product(a1,b1) = product(b1,c2),
inference(unflattening,[status(thm)],[c_149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP778+1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n009.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 : Tue Aug 29 00:31:20 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
% 261.66/34.88 % SZS status Started for theBenchmark.p
% 261.66/34.88 % SZS status CounterSatisfiable for theBenchmark.p
% 261.66/34.88
% 261.66/34.88 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 261.66/34.88
% 261.66/34.88 ------ iProver source info
% 261.66/34.88
% 261.66/34.88 git: date: 2023-05-31 18:12:56 +0000
% 261.66/34.88 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 261.66/34.88 git: non_committed_changes: false
% 261.66/34.88 git: last_make_outside_of_git: false
% 261.66/34.88
% 261.66/34.88 ------ Parsing...
% 261.66/34.88 ------ Clausification by vclausify_rel & Parsing by iProver...
% 261.66/34.88
% 261.66/34.88 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 261.66/34.88
% 261.66/34.88 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 261.66/34.88
% 261.66/34.88 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 261.66/34.88 ------ Proving...
% 261.66/34.88 ------ Problem Properties
% 261.66/34.88
% 261.66/34.88
% 261.66/34.88 clauses 14
% 261.66/34.88 conjectures 0
% 261.66/34.88 EPR 0
% 261.66/34.88 Horn 14
% 261.66/34.88 unary 14
% 261.66/34.88 binary 0
% 261.66/34.88 lits 14
% 261.66/34.88 lits eq 14
% 261.66/34.88 fd_pure 0
% 261.66/34.88 fd_pseudo 0
% 261.66/34.88 fd_cond 0
% 261.66/34.88 fd_pseudo_cond 0
% 261.66/34.88 AC symbols 0
% 261.66/34.88
% 261.66/34.88 ------ Input Options Time Limit: Unbounded
% 261.66/34.88
% 261.66/34.88
% 261.66/34.88 ------
% 261.66/34.88 Current options:
% 261.66/34.88 ------
% 261.66/34.88
% 261.66/34.88
% 261.66/34.88
% 261.66/34.88
% 261.66/34.88 ------ Proving...
% 261.66/34.88
% 261.66/34.88
% 261.66/34.88 % SZS status CounterSatisfiable for theBenchmark.p
% 261.66/34.88
% 261.66/34.88 % SZS output start Saturation for theBenchmark.p
% See solution above
% 261.66/34.88
% 262.04/34.89
%------------------------------------------------------------------------------