TSTP Solution File: REL003-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL003-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 02:56:30 EDT 2024
% Result : Unsatisfiable 2.86s 1.13s
% Output : CNFRefutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 11 unt; 7 nHn; 21 RR)
% Number of literals : 39 ( 38 equ; 14 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( join(converse(sk1),converse(sk2)) = converse(sk2)
| join(sk1,sk2) = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
cnf(c_50,negated_conjecture,
( join(converse(sk1),converse(sk2)) != converse(sk2)
| join(sk1,sk2) != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).
cnf(c_51,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
cnf(c_52,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
cnf(c_58,plain,
converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
cnf(c_59,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
cnf(c_77,negated_conjecture,
( join(converse(sk2),converse(sk1)) = converse(sk2)
| join(sk2,sk1) = sk2 ),
inference(theory_normalisation,[status(thm)],[c_49,c_52,c_51]) ).
cnf(c_78,negated_conjecture,
( join(converse(sk2),converse(sk1)) != converse(sk2)
| join(sk2,sk1) != sk2 ),
inference(theory_normalisation,[status(thm)],[c_50,c_52,c_51]) ).
cnf(c_81,plain,
( join(sk2,sk1) != sk2
| join(converse(sk2),converse(sk1)) != converse(sk2) ),
inference(prop_impl_just,[status(thm)],[c_78]) ).
cnf(c_82,plain,
( join(converse(sk2),converse(sk1)) != converse(sk2)
| join(sk2,sk1) != sk2 ),
inference(renaming,[status(thm)],[c_81]) ).
cnf(c_83,plain,
( join(sk2,sk1) = sk2
| join(converse(sk2),converse(sk1)) = converse(sk2) ),
inference(prop_impl_just,[status(thm)],[c_77]) ).
cnf(c_84,plain,
( join(converse(sk2),converse(sk1)) = converse(sk2)
| join(sk2,sk1) = sk2 ),
inference(renaming,[status(thm)],[c_83]) ).
cnf(c_142,plain,
( converse(join(sk2,sk1)) = converse(sk2)
| join(sk2,sk1) = sk2 ),
inference(ac_demodulation,[status(thm)],[c_84,c_59,c_52,c_51]) ).
cnf(c_145,plain,
( converse(join(sk2,sk1)) != converse(sk2)
| join(sk2,sk1) != sk2 ),
inference(ac_demodulation,[status(thm)],[c_82,c_59,c_52,c_51]) ).
cnf(c_161,plain,
( X0 != X1
| converse(X0) = converse(X1) ),
theory(equality) ).
cnf(c_172,plain,
( join(sk2,sk1) = sk2
| converse(join(sk2,sk1)) = converse(sk2) ),
inference(prop_impl_just,[status(thm)],[c_142]) ).
cnf(c_173,plain,
( converse(join(sk2,sk1)) = converse(sk2)
| join(sk2,sk1) = sk2 ),
inference(renaming,[status(thm)],[c_172]) ).
cnf(c_174,plain,
( X0 != X1
| converse(X0) = converse(X1) ),
inference(prop_impl_just,[status(thm)],[c_161]) ).
cnf(c_246,plain,
converse(join(sk2,sk1)) = converse(sk2),
inference(backward_subsumption_resolution,[status(thm)],[c_173,c_174]) ).
cnf(c_901,plain,
converse(join(sk2,sk1)) = converse(sk2),
inference(global_subsumption_just,[status(thm)],[c_142,c_246]) ).
cnf(c_907,plain,
join(sk2,sk1) = converse(converse(sk2)),
inference(superposition,[status(thm)],[c_901,c_58]) ).
cnf(c_946,plain,
join(sk2,sk1) = sk2,
inference(demodulation,[status(thm)],[c_907,c_58]) ).
cnf(c_1239,plain,
join(sk2,sk1) != sk2,
inference(global_subsumption_just,[status(thm)],[c_145,c_145,c_246]) ).
cnf(c_1241,plain,
sk2 != sk2,
inference(demodulation,[status(thm)],[c_1239,c_946]) ).
cnf(c_1242,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_1241]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : REL003-1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 19:53:05 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 2.86/1.13 % SZS status Started for theBenchmark.p
% 2.86/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 2.86/1.13
% 2.86/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.86/1.13
% 2.86/1.13 ------ iProver source info
% 2.86/1.13
% 2.86/1.13 git: date: 2024-05-02 19:28:25 +0000
% 2.86/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.86/1.13 git: non_committed_changes: false
% 2.86/1.13
% 2.86/1.13 ------ Parsing...successful
% 2.86/1.13
% 2.86/1.13
% 2.86/1.13
% 2.86/1.13 ------ Preprocessing... sup_sim: 3 sf_s rm: 0 0s sf_e pe_s pe_e
% 2.86/1.13
% 2.86/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.86/1.13
% 2.86/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.86/1.13 ------ Proving...
% 2.86/1.13 ------ Problem Properties
% 2.86/1.13
% 2.86/1.13
% 2.86/1.13 clauses 15
% 2.86/1.13 conjectures 0
% 2.86/1.13 EPR 0
% 2.86/1.13 Horn 14
% 2.86/1.13 unary 13
% 2.86/1.13 binary 2
% 2.86/1.13 lits 17
% 2.86/1.13 lits eq 17
% 2.86/1.13 fd_pure 0
% 2.86/1.13 fd_pseudo 0
% 2.86/1.13 fd_cond 0
% 2.86/1.13 fd_pseudo_cond 0
% 2.86/1.13 AC symbols 1
% 2.86/1.13
% 2.86/1.13 ------ Schedule dynamic 5 is on
% 2.86/1.13
% 2.86/1.13 ------ no conjectures: strip conj schedule
% 2.86/1.13
% 2.86/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.86/1.13
% 2.86/1.13
% 2.86/1.13 ------
% 2.86/1.13 Current options:
% 2.86/1.13 ------
% 2.86/1.13
% 2.86/1.13
% 2.86/1.13
% 2.86/1.13
% 2.86/1.13 ------ Proving...
% 2.86/1.13
% 2.86/1.13
% 2.86/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 2.86/1.13
% 2.86/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.86/1.13
% 2.86/1.13
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