TSTP Solution File: REL027+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : REL027+2 : TPTP v8.1.2. Released v4.0.0.
% 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 13:40:54 EDT 2023
% Result : Timeout 291.88s 38.95s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 96 ( 84 unt; 0 def)
% Number of atoms : 116 ( 115 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 45 ( 25 ~; 11 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 131 ( 0 sgn; 53 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0] :
( one = join(X0,one)
=> ( meet(complement(composition(X0,top)),one) = join(meet(complement(X0),one),meet(complement(composition(X0,top)),one))
& meet(complement(X0),one) = join(meet(complement(composition(X0,top)),one),meet(complement(X0),one)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] :
( one = join(X0,one)
=> ( meet(complement(composition(X0,top)),one) = join(meet(complement(X0),one),meet(complement(composition(X0,top)),one))
& meet(complement(X0),one) = join(meet(complement(composition(X0,top)),one),meet(complement(X0),one)) ) ),
inference(negated_conjecture,[],[f14]) ).
fof(f16,plain,
? [X0] :
( ( meet(complement(composition(X0,top)),one) != join(meet(complement(X0),one),meet(complement(composition(X0,top)),one))
| meet(complement(X0),one) != join(meet(complement(composition(X0,top)),one),meet(complement(X0),one)) )
& one = join(X0,one) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ? [X0] :
( ( meet(complement(composition(X0,top)),one) != join(meet(complement(X0),one),meet(complement(composition(X0,top)),one))
| meet(complement(X0),one) != join(meet(complement(composition(X0,top)),one),meet(complement(X0),one)) )
& one = join(X0,one) )
=> ( ( meet(complement(composition(sK0,top)),one) != join(meet(complement(sK0),one),meet(complement(composition(sK0,top)),one))
| meet(complement(sK0),one) != join(meet(complement(composition(sK0,top)),one),meet(complement(sK0),one)) )
& one = join(sK0,one) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ( meet(complement(composition(sK0,top)),one) != join(meet(complement(sK0),one),meet(complement(composition(sK0,top)),one))
| meet(complement(sK0),one) != join(meet(complement(composition(sK0,top)),one),meet(complement(sK0),one)) )
& one = join(sK0,one) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f25,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f26,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f31,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f32,plain,
one = join(sK0,one),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
( meet(complement(composition(sK0,top)),one) != join(meet(complement(sK0),one),meet(complement(composition(sK0,top)),one))
| meet(complement(sK0),one) != join(meet(complement(composition(sK0,top)),one),meet(complement(sK0),one)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f34,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f31,f22]) ).
fof(f35,plain,
( complement(join(complement(complement(composition(sK0,top))),complement(one))) != join(complement(join(complement(complement(sK0)),complement(one))),complement(join(complement(complement(composition(sK0,top))),complement(one))))
| complement(join(complement(complement(sK0)),complement(one))) != join(complement(join(complement(complement(composition(sK0,top))),complement(one))),complement(join(complement(complement(sK0)),complement(one)))) ),
inference(definition_unfolding,[],[f33,f22,f22,f22,f22,f22,f22]) ).
cnf(c_49,plain,
join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f19]) ).
cnf(c_50,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f20]) ).
cnf(c_51,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f21]) ).
cnf(c_52,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f23]) ).
cnf(c_53,plain,
composition(X0,one) = X0,
inference(cnf_transformation,[],[f24]) ).
cnf(c_54,plain,
join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
inference(cnf_transformation,[],[f25]) ).
cnf(c_55,plain,
converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f26]) ).
cnf(c_56,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f27]) ).
cnf(c_57,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f28]) ).
cnf(c_58,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f29]) ).
cnf(c_59,plain,
join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f30]) ).
cnf(c_60,plain,
complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f34]) ).
cnf(c_61,negated_conjecture,
( join(complement(join(complement(complement(composition(sK0,top))),complement(one))),complement(join(complement(complement(sK0)),complement(one)))) != complement(join(complement(complement(sK0)),complement(one)))
| join(complement(join(complement(complement(sK0)),complement(one))),complement(join(complement(complement(composition(sK0,top))),complement(one)))) != complement(join(complement(complement(composition(sK0,top))),complement(one))) ),
inference(cnf_transformation,[],[f35]) ).
cnf(c_62,negated_conjecture,
join(sK0,one) = one,
inference(cnf_transformation,[],[f32]) ).
cnf(c_75,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_51,c_50,c_49]) ).
cnf(c_76,plain,
join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_58,c_50,c_49]) ).
cnf(c_77,negated_conjecture,
( join(complement(join(complement(one),complement(complement(sK0)))),complement(join(complement(one),complement(complement(composition(sK0,top)))))) != complement(join(complement(one),complement(complement(composition(sK0,top)))))
| join(complement(join(complement(one),complement(complement(sK0)))),complement(join(complement(one),complement(complement(composition(sK0,top)))))) != complement(join(complement(one),complement(complement(sK0)))) ),
inference(theory_normalisation,[status(thm)],[c_61,c_50,c_49]) ).
cnf(c_78,negated_conjecture,
join(one,sK0) = one,
inference(theory_normalisation,[status(thm)],[c_62,c_50,c_49]) ).
cnf(c_111,plain,
complement(top) = zero,
inference(demodulation,[status(thm)],[c_60,c_59]) ).
cnf(c_211,plain,
join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[status(thm)],[c_59,c_75]) ).
cnf(c_214,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X1),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_49,c_75]) ).
cnf(c_225,plain,
join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(demodulation,[status(thm)],[c_211,c_111]) ).
cnf(c_238,plain,
join(converse(X0),converse(X1)) = converse(join(X1,X0)),
inference(superposition,[status(thm)],[c_56,c_49]) ).
cnf(c_243,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_263,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_2762,plain,
join(complement(join(complement(complement(X0)),X0)),complement(top)) = complement(X0),
inference(superposition,[status(thm)],[c_59,c_214]) ).
cnf(c_2778,plain,
join(complement(top),complement(join(X0,complement(complement(X0))))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_2762,c_50,c_49]) ).
cnf(c_2779,plain,
join(zero,complement(join(X0,complement(complement(X0))))) = complement(X0),
inference(demodulation,[status(thm)],[c_2778,c_111]) ).
cnf(c_3253,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_53,c_243]) ).
cnf(c_3278,plain,
composition(converse(one),X0) = X0,
inference(demodulation,[status(thm)],[c_3253,c_55]) ).
cnf(c_4138,plain,
composition(join(converse(one),X0),X1) = join(X1,composition(X0,X1)),
inference(superposition,[status(thm)],[c_3278,c_54]) ).
cnf(c_4140,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_3278,c_53]) ).
cnf(c_4147,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_3278,c_263]) ).
cnf(c_4154,plain,
composition(one,X0) = X0,
inference(demodulation,[status(thm)],[c_4147,c_3278]) ).
cnf(c_4178,plain,
join(converse(X0),one) = converse(join(X0,one)),
inference(superposition,[status(thm)],[c_4140,c_56]) ).
cnf(c_4179,plain,
join(one,converse(X0)) = converse(join(X0,one)),
inference(theory_normalisation,[status(thm)],[c_4178,c_50,c_49]) ).
cnf(c_4219,plain,
composition(join(one,converse(X0)),converse(X1)) = converse(composition(X1,join(X0,one))),
inference(superposition,[status(thm)],[c_4179,c_57]) ).
cnf(c_10026,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_225,c_2779]) ).
cnf(c_10028,plain,
( join(complement(join(complement(one),sK0)),complement(join(complement(one),complement(complement(composition(sK0,top)))))) != complement(join(complement(one),complement(complement(composition(sK0,top)))))
| join(complement(join(complement(one),sK0)),complement(join(complement(one),complement(complement(composition(sK0,top)))))) != complement(join(complement(one),sK0)) ),
inference(demodulation,[status(thm)],[c_77,c_10026]) ).
cnf(c_10030,plain,
( join(complement(join(sK0,complement(one))),complement(join(complement(one),complement(complement(composition(sK0,top)))))) != complement(join(complement(one),complement(complement(composition(sK0,top)))))
| join(complement(join(sK0,complement(one))),complement(join(complement(one),complement(complement(composition(sK0,top)))))) != complement(join(sK0,complement(one))) ),
inference(theory_normalisation,[status(thm)],[c_10028,c_50,c_49]) ).
cnf(c_10031,plain,
( join(complement(join(sK0,complement(one))),complement(join(complement(one),composition(sK0,top)))) != complement(join(complement(one),composition(sK0,top)))
| join(complement(join(sK0,complement(one))),complement(join(complement(one),composition(sK0,top)))) != complement(join(sK0,complement(one))) ),
inference(demodulation,[status(thm)],[c_10030,c_10026]) ).
cnf(c_10037,plain,
join(X0,composition(converse(X1),complement(composition(X1,complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_10026,c_76]) ).
cnf(c_14359,plain,
join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(light_normalisation,[status(thm)],[c_4138,c_4140]) ).
cnf(c_14363,plain,
join(converse(X0),converse(composition(X0,X1))) = composition(join(one,converse(X1)),converse(X0)),
inference(superposition,[status(thm)],[c_57,c_14359]) ).
cnf(c_14371,plain,
join(X0,composition(sK0,X0)) = composition(one,X0),
inference(superposition,[status(thm)],[c_78,c_14359]) ).
cnf(c_14432,plain,
join(X0,composition(sK0,X0)) = X0,
inference(demodulation,[status(thm)],[c_14371,c_4154]) ).
cnf(c_14440,plain,
converse(join(composition(X0,X1),X0)) = converse(composition(X0,join(X1,one))),
inference(demodulation,[status(thm)],[c_14363,c_238,c_4219]) ).
cnf(c_15558,plain,
join(X0,join(composition(sK0,X0),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_14432,c_50]) ).
cnf(c_16995,plain,
join(X0,join(X1,composition(sK0,X0))) = join(X0,X1),
inference(superposition,[status(thm)],[c_49,c_15558]) ).
cnf(c_37575,plain,
join(X0,composition(one,complement(composition(one,complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_4140,c_10037]) ).
cnf(c_37632,plain,
join(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_37575,c_4154,c_10026]) ).
cnf(c_161867,plain,
converse(join(X0,composition(X0,X1))) = converse(composition(X0,join(X1,one))),
inference(theory_normalisation,[status(thm)],[c_14440,c_50,c_49]) ).
cnf(c_161985,plain,
converse(converse(join(X0,composition(X0,X1)))) = composition(X0,join(X1,one)),
inference(superposition,[status(thm)],[c_161867,c_55]) ).
cnf(c_162007,plain,
join(X0,composition(X0,X1)) = composition(X0,join(X1,one)),
inference(demodulation,[status(thm)],[c_161985,c_55]) ).
cnf(c_163900,plain,
join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[status(thm)],[c_49,c_162007]) ).
cnf(c_164162,plain,
join(X0,composition(X0,complement(one))) = composition(X0,top),
inference(superposition,[status(thm)],[c_59,c_163900]) ).
cnf(c_168642,plain,
join(complement(one),composition(sK0,top)) = join(complement(one),sK0),
inference(superposition,[status(thm)],[c_164162,c_16995]) ).
cnf(c_168649,plain,
join(complement(one),composition(sK0,top)) = join(sK0,complement(one)),
inference(theory_normalisation,[status(thm)],[c_168642,c_50,c_49]) ).
cnf(c_168682,plain,
join(complement(join(sK0,complement(one))),complement(join(sK0,complement(one)))) != complement(join(sK0,complement(one))),
inference(demodulation,[status(thm)],[c_10031,c_168649]) ).
cnf(c_168683,plain,
complement(join(sK0,complement(one))) != complement(join(sK0,complement(one))),
inference(demodulation,[status(thm)],[c_168682,c_37632]) ).
cnf(c_168684,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_168683]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL027+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 20:18:29 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 291.88/38.95 % SZS status Started for theBenchmark.p
% 291.88/38.95 % SZS status Theorem for theBenchmark.p
% 291.88/38.95
% 291.88/38.95 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 291.88/38.95
% 291.88/38.95 ------ iProver source info
% 291.88/38.95
% 291.88/38.95 git: date: 2023-05-31 18:12:56 +0000
% 291.88/38.95 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 291.88/38.95 git: non_committed_changes: false
% 291.88/38.95 git: last_make_outside_of_git: false
% 291.88/38.95
% 291.88/38.95 ------ Parsing...
% 291.88/38.95 ------ Clausification by vclausify_rel & Parsing by iProver...
% 291.88/38.95
% 291.88/38.95 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 291.88/38.95
% 291.88/38.95 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 291.88/38.95
% 291.88/38.95 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 291.88/38.95 ------ Proving...
% 291.88/38.95 ------ Problem Properties
% 291.88/38.95
% 291.88/38.95
% 291.88/38.95 clauses 14
% 291.88/38.95 conjectures 2
% 291.88/38.95 EPR 0
% 291.88/38.95 Horn 14
% 291.88/38.95 unary 13
% 291.88/38.95 binary 1
% 291.88/38.95 lits 15
% 291.88/38.95 lits eq 15
% 291.88/38.95 fd_pure 0
% 291.88/38.95 fd_pseudo 0
% 291.88/38.95 fd_cond 0
% 291.88/38.95 fd_pseudo_cond 0
% 291.88/38.95 AC symbols 1
% 291.88/38.95
% 291.88/38.95 ------ Input Options Time Limit: Unbounded
% 291.88/38.95
% 291.88/38.95
% 291.88/38.95 ------
% 291.88/38.95 Current options:
% 291.88/38.95 ------
% 291.88/38.95
% 291.88/38.95
% 291.88/38.95
% 291.88/38.95
% 291.88/38.95 ------ Proving...
% 291.88/38.95
% 291.88/38.95
% 291.88/38.95 % SZS status Theorem for theBenchmark.p
% 291.88/38.95
% 291.88/38.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 291.88/38.95
% 291.88/38.96
%------------------------------------------------------------------------------