TSTP Solution File: SYN353-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN353-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 03:06:37 EDT 2023
% Result : Unsatisfiable 2.13s 1.14s
% Output : CNFRefutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 12
% Syntax : Number of clauses : 65 ( 10 unt; 36 nHn; 35 RR)
% Number of literals : 158 ( 0 equ; 48 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-3 aty)
% Number of variables : 124 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( ~ f(a,a,z(X0,X1,X2))
| ~ f(X0,X1,X2)
| f(X1,X2,X0)
| f(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(c_50,negated_conjecture,
( ~ f(X0,X1,z(X1,X0,X2))
| ~ f(X2,X1,X0)
| f(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
cnf(c_51,negated_conjecture,
( ~ f(X0,X1,z(X1,X0,X2))
| ~ f(X2,X1,X0)
| f(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
cnf(c_52,negated_conjecture,
( f(X0,X1,z(X1,X0,X2))
| f(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
cnf(c_54,negated_conjecture,
( ~ f(X0,z(X0,X1,X2),X1)
| ~ f(X1,X2,X0)
| f(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
cnf(c_55,negated_conjecture,
( ~ f(X0,z(X0,X1,X2),X1)
| ~ f(X1,X2,X0)
| f(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
cnf(c_56,negated_conjecture,
( f(X0,z(X0,X1,X2),X1)
| f(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
cnf(c_58,negated_conjecture,
( ~ f(z(X0,X1,X2),X1,X0)
| f(X0,X1,X2)
| f(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
cnf(c_59,negated_conjecture,
( ~ f(z(X0,X1,X2),X1,X0)
| f(X0,X1,X2)
| f(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
cnf(c_60,negated_conjecture,
( ~ f(X0,X1,X2)
| ~ f(X1,X2,X0)
| f(z(X2,X0,X1),X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
cnf(c_61,negated_conjecture,
( ~ f(X0,X1,X2)
| f(z(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
cnf(c_65,negated_conjecture,
( ~ f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2))
| ~ f(X0,X1,X2)
| ~ f(X1,X2,X0)
| ~ f(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
cnf(c_525,plain,
( ~ f(a,a,X0)
| f(X0,a,a)
| f(a,X0,a) ),
inference(superposition,[status(thm)],[c_52,c_49]) ).
cnf(c_538,plain,
( ~ f(a,a,X0)
| f(X0,a,a)
| f(a,X0,a) ),
inference(superposition,[status(thm)],[c_52,c_49]) ).
cnf(c_609,plain,
( f(z(a,a,X0),a,a)
| f(a,z(a,a,X0),a)
| f(X0,a,a) ),
inference(superposition,[status(thm)],[c_52,c_525]) ).
cnf(c_624,plain,
( f(z(a,a,X0),a,a)
| f(a,z(a,a,X0),a)
| f(X0,a,a) ),
inference(superposition,[status(thm)],[c_52,c_538]) ).
cnf(c_711,plain,
( f(a,z(a,a,X0),a)
| f(X0,a,a)
| f(a,a,X0) ),
inference(superposition,[status(thm)],[c_609,c_58]) ).
cnf(c_726,plain,
( f(a,z(a,a,X0),a)
| f(X0,a,a)
| f(a,a,X0) ),
inference(superposition,[status(thm)],[c_624,c_58]) ).
cnf(c_780,plain,
( ~ f(a,X0,a)
| f(X0,a,a)
| f(a,a,X0) ),
inference(superposition,[status(thm)],[c_711,c_55]) ).
cnf(c_791,plain,
( ~ f(a,X0,a)
| f(X0,a,a)
| f(a,a,X0) ),
inference(superposition,[status(thm)],[c_726,c_55]) ).
cnf(c_823,plain,
( f(z(a,a,X0),a,a)
| f(a,a,z(a,a,X0))
| f(a,X0,a) ),
inference(superposition,[status(thm)],[c_56,c_780]) ).
cnf(c_843,plain,
( f(z(a,a,X0),a,a)
| f(a,a,z(a,a,X0))
| f(a,X0,a) ),
inference(superposition,[status(thm)],[c_56,c_791]) ).
cnf(c_938,plain,
( f(a,a,z(a,a,X0))
| f(a,X0,a)
| f(a,a,X0) ),
inference(superposition,[status(thm)],[c_823,c_59]) ).
cnf(c_954,plain,
( f(a,a,z(a,a,X0))
| f(X0,a,a)
| f(a,X0,a)
| f(a,a,X0) ),
inference(superposition,[status(thm)],[c_843,c_58]) ).
cnf(c_1041,plain,
( ~ f(X0,a,a)
| f(a,X0,a)
| f(a,a,X0) ),
inference(superposition,[status(thm)],[c_938,c_51]) ).
cnf(c_1104,plain,
( ~ f(a,a,X0)
| f(a,z(a,a,X0),a)
| f(a,a,z(a,a,X0)) ),
inference(superposition,[status(thm)],[c_61,c_1041]) ).
cnf(c_1105,plain,
( ~ f(X0,a,a)
| ~ f(a,X0,a)
| f(a,z(a,a,X0),a)
| f(a,a,z(a,a,X0)) ),
inference(superposition,[status(thm)],[c_60,c_1041]) ).
cnf(c_1106,plain,
( f(a,z(a,a,X0),a)
| f(a,a,z(a,a,X0))
| f(a,X0,a) ),
inference(superposition,[status(thm)],[c_823,c_1041]) ).
cnf(c_1107,plain,
( f(a,z(a,a,X0),a)
| f(a,a,z(a,a,X0))
| f(X0,a,a) ),
inference(superposition,[status(thm)],[c_609,c_1041]) ).
cnf(c_1203,plain,
( f(a,z(a,a,X0),a)
| f(a,a,z(a,a,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1104,c_1107,c_1106,c_1105]) ).
cnf(c_1211,plain,
( ~ f(a,X0,a)
| f(a,a,z(a,a,X0))
| f(a,a,X0) ),
inference(superposition,[status(thm)],[c_1203,c_54]) ).
cnf(c_1224,plain,
( f(a,a,z(a,a,X0))
| f(a,a,X0) ),
inference(global_subsumption_just,[status(thm)],[c_954,c_938,c_1211]) ).
cnf(c_1232,plain,
( ~ f(X0,a,a)
| f(a,a,X0) ),
inference(superposition,[status(thm)],[c_1224,c_50]) ).
cnf(c_1241,plain,
( f(a,a,z(a,a,X0))
| f(a,a,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1211,c_1224]) ).
cnf(c_1249,plain,
( ~ f(X0,a,a)
| f(a,a,X0) ),
inference(superposition,[status(thm)],[c_1241,c_50]) ).
cnf(c_1260,plain,
( ~ f(a,X0,a)
| f(a,a,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_780,c_1249]) ).
cnf(c_1261,plain,
( f(a,z(a,a,X0),a)
| f(a,a,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_711,c_1249]) ).
cnf(c_1325,plain,
f(a,a,z(a,a,X0)),
inference(backward_subsumption_resolution,[status(thm)],[c_1203,c_1260]) ).
cnf(c_1336,plain,
( ~ f(X0,a,a)
| f(a,X0,a) ),
inference(superposition,[status(thm)],[c_1325,c_51]) ).
cnf(c_1351,plain,
( ~ f(a,a,X0)
| f(a,z(a,a,X0),a) ),
inference(superposition,[status(thm)],[c_61,c_1336]) ).
cnf(c_1360,plain,
f(a,z(a,a,X0),a),
inference(global_subsumption_just,[status(thm)],[c_1351,c_1261,c_1351]) ).
cnf(c_1363,plain,
( ~ f(a,X0,a)
| f(X0,a,a) ),
inference(superposition,[status(thm)],[c_1360,c_55]) ).
cnf(c_1374,plain,
f(z(a,a,X0),a,a),
inference(superposition,[status(thm)],[c_1360,c_1363]) ).
cnf(c_1382,plain,
( f(a,X0,a)
| f(a,a,X0) ),
inference(superposition,[status(thm)],[c_1374,c_59]) ).
cnf(c_1383,plain,
( f(X0,a,a)
| f(a,a,X0) ),
inference(superposition,[status(thm)],[c_1374,c_58]) ).
cnf(c_1391,plain,
f(a,a,X0),
inference(global_subsumption_just,[status(thm)],[c_1382,c_1232,c_1383]) ).
cnf(c_1393,plain,
( ~ f(X0,X1,X2)
| f(X1,X2,X0)
| f(X2,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_1391]) ).
cnf(c_1419,plain,
( f(z(X0,X1,X2),X1,X0)
| f(X1,X0,z(X0,X1,X2))
| f(X1,X2,X0) ),
inference(superposition,[status(thm)],[c_56,c_1393]) ).
cnf(c_1421,plain,
( ~ f(X0,X1,X2)
| ~ f(X1,X2,X0)
| f(X0,X2,z(X2,X0,X1))
| f(X2,z(X2,X0,X1),X0) ),
inference(superposition,[status(thm)],[c_60,c_1393]) ).
cnf(c_1567,plain,
( f(X0,X1,z(X1,X0,X2))
| f(X0,X2,X1)
| f(X1,X0,X2) ),
inference(superposition,[status(thm)],[c_1419,c_59]) ).
cnf(c_1667,plain,
( f(X0,X1,z(X1,X0,X2))
| f(X1,z(X1,X0,X2),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1421,c_52,c_56]) ).
cnf(c_1672,plain,
( ~ f(X0,X1,X2)
| f(X0,X2,z(X2,X0,X1))
| f(X2,X0,X1) ),
inference(superposition,[status(thm)],[c_1667,c_54]) ).
cnf(c_1742,plain,
( f(X0,X1,z(X1,X0,X2))
| f(X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1672,c_1567]) ).
cnf(c_1745,plain,
( ~ f(X0,X1,X2)
| f(X1,X2,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_1742]) ).
cnf(c_1757,plain,
f(X0,z(X0,X1,X2),X1),
inference(backward_subsumption_resolution,[status(thm)],[c_1667,c_1745]) ).
cnf(c_1758,plain,
( ~ f(z(X0,X1,X2),X1,X0)
| f(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_58,c_1745]) ).
cnf(c_1759,plain,
( ~ f(z(X0,X1,X2),X1,X0)
| f(X1,X2,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_59,c_1745]) ).
cnf(c_1760,plain,
( ~ f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2))
| ~ f(X0,X1,X2)
| ~ f(X2,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_65,c_1745]) ).
cnf(c_1772,plain,
( ~ f(X0,X1,X2)
| f(X2,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_54,c_1757]) ).
cnf(c_1775,plain,
( ~ f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2))
| ~ f(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1760,c_1772]) ).
cnf(c_1789,plain,
f(z(X0,X1,X2),X1,X0),
inference(superposition,[status(thm)],[c_1757,c_1745]) ).
cnf(c_1793,plain,
f(X2,X0,X1),
inference(global_subsumption_just,[status(thm)],[c_1772,c_55,c_1757,c_1759,c_1789]) ).
cnf(c_1794,plain,
f(X0,X1,X2),
inference(renaming,[status(thm)],[c_1793]) ).
cnf(c_1809,plain,
~ f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2)),
inference(global_subsumption_just,[status(thm)],[c_1775,c_55,c_65,c_1757,c_1759,c_1758,c_1789]) ).
cnf(c_1812,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1809,c_1794]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN353-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n013.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 20:12:32 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.13/1.14 % SZS status Started for theBenchmark.p
% 2.13/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 2.13/1.14
% 2.13/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.13/1.14
% 2.13/1.14 ------ iProver source info
% 2.13/1.14
% 2.13/1.14 git: date: 2023-05-31 18:12:56 +0000
% 2.13/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.13/1.14 git: non_committed_changes: false
% 2.13/1.14 git: last_make_outside_of_git: false
% 2.13/1.14
% 2.13/1.14 ------ Parsing...successful
% 2.13/1.14
% 2.13/1.14
% 2.13/1.14
% 2.13/1.14 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.13/1.14
% 2.13/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.13/1.14 ------ Proving...
% 2.13/1.14 ------ Problem Properties
% 2.13/1.14
% 2.13/1.14
% 2.13/1.14 clauses 17
% 2.13/1.14 conjectures 17
% 2.13/1.14 EPR 0
% 2.13/1.14 Horn 9
% 2.13/1.14 unary 0
% 2.13/1.14 binary 6
% 2.13/1.14 lits 47
% 2.13/1.14 lits eq 0
% 2.13/1.14 fd_pure 0
% 2.13/1.14 fd_pseudo 0
% 2.13/1.14 fd_cond 0
% 2.13/1.14 fd_pseudo_cond 0
% 2.13/1.14 AC symbols 0
% 2.13/1.14
% 2.13/1.14 ------ Schedule dynamic 5 is on
% 2.13/1.14
% 2.13/1.14 ------ no equalities: superposition off
% 2.13/1.14
% 2.13/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.13/1.14
% 2.13/1.14
% 2.13/1.14 ------
% 2.13/1.14 Current options:
% 2.13/1.14 ------
% 2.13/1.14
% 2.13/1.14
% 2.13/1.14
% 2.13/1.14
% 2.13/1.14 ------ Proving...
% 2.13/1.14
% 2.13/1.14
% 2.13/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 2.13/1.14
% 2.13/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.13/1.14
% 2.13/1.15
%------------------------------------------------------------------------------