%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL008-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:03:12 PM UTC 2026
% Result : Unsatisfiable 236.21s 30.32s
% Output : CNFRefutation 45.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 14
% Syntax : Number of formulae : 156 ( 138 unt; 0 def)
% Number of atoms : 174 ( 173 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 55 ( 37 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 264 ( 264 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : composition(A,composition(B,C)) = composition(composition(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] : converse(composition(A,B)) = composition(converse(B),converse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : top = join(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : zero = meet(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( join(join(composition(sk1,join(sk2,sk3)),composition(sk1,sk2)),composition(sk1,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3))
| join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) != composition(sk1,join(sk2,sk3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f16,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f20,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f21,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f22,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f23,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f24,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f25,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f27,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f28,plain,
( join(join(composition(sk1,join(sk2,sk3)),composition(sk1,sk2)),composition(sk1,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3))
| join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) != composition(sk1,join(sk2,sk3)) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f29,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(backward_demodulation,[status(thm)],[f18,f17]) ).
fof(f30,plain,
( join(join(composition(sk1,join(sk2,sk3)),composition(sk1,sk2)),composition(sk1,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3))
| join(composition(sk1,sk2),join(composition(sk1,sk3),composition(sk1,join(sk2,sk3)))) != composition(sk1,join(sk2,sk3)) ),
inference(forward_demodulation,[status(thm)],[f16,f28]) ).
fof(f31,plain,
( join(composition(sk1,join(sk2,sk3)),join(composition(sk1,sk2),composition(sk1,sk3))) != join(composition(sk1,sk2),composition(sk1,sk3))
| join(composition(sk1,sk2),join(composition(sk1,sk3),composition(sk1,join(sk2,sk3)))) != composition(sk1,join(sk2,sk3)) ),
inference(forward_demodulation,[status(thm)],[f16,f30]) ).
fof(f36,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f15,f16]) ).
fof(f39,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f15,f16]) ).
fof(f48,plain,
! [X0,X1,X2,X3] : join(X0,join(X1,join(X2,X3))) = join(X3,join(join(X0,X1),X2)),
inference(paramodulation,[status(thm)],[f16,f36]) ).
fof(f51,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X1,join(X2,X0)),
inference(paramodulation,[status(thm)],[f15,f36]) ).
fof(f55,plain,
! [X0,X1,X2,X3] : join(X0,join(X1,join(X2,X3))) = join(join(X3,X1),join(X0,X2)),
inference(paramodulation,[status(thm)],[f36,f36]) ).
fof(f69,plain,
( join(composition(sk1,sk3),join(composition(sk1,join(sk2,sk3)),composition(sk1,sk2))) != join(composition(sk1,sk2),composition(sk1,sk3))
| join(composition(sk1,sk2),join(composition(sk1,sk3),composition(sk1,join(sk2,sk3)))) != composition(sk1,join(sk2,sk3)) ),
inference(paramodulation,[status(thm)],[f36,f31]) ).
fof(f78,plain,
! [X0,X1,X2,X3] : join(X0,join(X1,join(X2,X3))) = join(X3,join(X0,join(X1,X2))),
inference(forward_demodulation,[status(thm)],[f16,f48]) ).
fof(f80,plain,
! [X0,X1,X2,X3] : join(X0,join(X1,join(X2,X3))) = join(X3,join(X1,join(X0,X2))),
inference(forward_demodulation,[status(thm)],[f16,f55]) ).
fof(f127,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(paramodulation,[status(thm)],[f39,f51]) ).
fof(f138,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X2,X1)),
inference(paramodulation,[status(thm)],[f15,f51]) ).
fof(f216,plain,
! [X0,X1] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(paramodulation,[status(thm)],[f20,f19]) ).
fof(f224,plain,
! [X0,X1] : top = join(X0,join(complement(join(X1,X0)),X1)),
inference(paramodulation,[status(thm)],[f51,f26]) ).
fof(f226,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(paramodulation,[status(thm)],[f16,f26]) ).
fof(f230,plain,
! [X0,X1] : join(top,X0) = join(complement(X1),join(X0,X1)),
inference(paramodulation,[status(thm)],[f26,f51]) ).
fof(f258,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f26,f18]) ).
fof(f259,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f15,f18]) ).
fof(f265,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f27,f258]) ).
fof(f269,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(paramodulation,[status(thm)],[f15,f23]) ).
fof(f272,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f22,f23]) ).
fof(f281,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f22,f24]) ).
fof(f284,plain,
! [X0,X1,X2] : composition(join(X0,converse(X1)),converse(X2)) = join(composition(X0,converse(X2)),converse(composition(X2,X1))),
inference(paramodulation,[status(thm)],[f24,f21]) ).
fof(f287,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(paramodulation,[status(thm)],[f15,f25]) ).
fof(f298,plain,
! [X0,X1,X2] : join(X0,complement(X1)) = join(complement(X1),join(X0,composition(converse(X2),complement(composition(X2,X1))))),
inference(paramodulation,[status(thm)],[f25,f36]) ).
fof(f305,plain,
( join(composition(sk1,sk3),join(composition(sk1,sk2),composition(sk1,join(sk2,sk3)))) != join(composition(sk1,sk2),composition(sk1,sk3))
| join(composition(sk1,sk2),join(composition(sk1,sk3),composition(sk1,join(sk2,sk3)))) != composition(sk1,join(sk2,sk3)) ),
inference(paramodulation,[status(thm)],[f15,f69]) ).
fof(f307,plain,
( join(composition(sk1,sk2),join(composition(sk1,join(sk2,sk3)),composition(sk1,sk3))) != join(composition(sk1,sk2),composition(sk1,sk3))
| join(composition(sk1,sk2),join(composition(sk1,sk3),composition(sk1,join(sk2,sk3)))) != composition(sk1,join(sk2,sk3)) ),
inference(paramodulation,[status(thm)],[f36,f305]) ).
fof(f987,plain,
top = join(top,zero),
inference(paramodulation,[status(thm)],[f265,f26]) ).
fof(f1173,plain,
! [X0,X1] : top = join(complement(X0),join(complement(complement(X0)),composition(converse(X1),complement(composition(X1,X0))))),
inference(paramodulation,[status(thm)],[f25,f224]) ).
fof(f1226,plain,
! [X0] : top = join(complement(complement(X0)),complement(X0)),
inference(forward_demodulation,[status(thm)],[f298,f1173]) ).
fof(f1292,plain,
! [X0] : X0 = join(zero,complement(join(complement(X0),complement(X0)))),
inference(paramodulation,[status(thm)],[f27,f29]) ).
fof(f1294,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f26,f29]) ).
fof(f1318,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
inference(paramodulation,[status(thm)],[f29,f16]) ).
fof(f1321,plain,
! [X0] : X0 = join(zero,meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f18,f1292]) ).
fof(f1322,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),zero),
inference(forward_demodulation,[status(thm)],[f265,f1294]) ).
fof(f1600,plain,
! [X0] : meet(complement(X0),X0) = complement(top),
inference(paramodulation,[status(thm)],[f1226,f18]) ).
fof(f1624,plain,
! [X0] : meet(complement(X0),X0) = zero,
inference(forward_demodulation,[status(thm)],[f265,f1600]) ).
fof(f1727,plain,
! [X0] : complement(X0) = join(zero,complement(join(complement(complement(X0)),X0))),
inference(paramodulation,[status(thm)],[f1624,f29]) ).
fof(f1785,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f18,f259]) ).
fof(f1797,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f259,f29]) ).
fof(f1904,plain,
! [X0] : top = join(zero,join(meet(X0,X0),complement(X0))),
inference(paramodulation,[status(thm)],[f1321,f226]) ).
fof(f1913,plain,
! [X0,X1] : join(zero,join(meet(X0,X0),X1)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f1321,f36]) ).
fof(f1925,plain,
! [X0] : top = join(complement(X0),X0),
inference(backward_demodulation,[status(thm)],[f1913,f1904]) ).
fof(f1947,plain,
! [X0] : X0 = join(meet(X0,X0),complement(top)),
inference(paramodulation,[status(thm)],[f1925,f29]) ).
fof(f1978,plain,
! [X0] : X0 = join(meet(X0,X0),zero),
inference(forward_demodulation,[status(thm)],[f265,f1947]) ).
fof(f2120,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(converse(X1),X0),
inference(paramodulation,[status(thm)],[f22,f269]) ).
fof(f2272,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f15,f1797]) ).
fof(f2277,plain,
! [X0,X1] : X0 = join(meet(complement(X1),X0),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f1785,f1797]) ).
fof(f2463,plain,
! [X0] : complement(complement(X0)) = join(meet(X0,complement(complement(X0))),zero),
inference(paramodulation,[status(thm)],[f1624,f2272]) ).
fof(f2465,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f1785,f2272]) ).
fof(f2490,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(backward_demodulation,[status(thm)],[f2495,f1727]) ).
fof(f2495,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f1322,f2463]) ).
fof(f2503,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(X1)),
inference(paramodulation,[status(thm)],[f18,f2495]) ).
fof(f2505,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f2495,f1797]) ).
fof(f2513,plain,
! [X0,X1] : meet(complement(X0),X1) = complement(join(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f2495,f259]) ).
fof(f2565,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(meet(complement(X1),X0),X2)) = join(X0,X2),
inference(backward_demodulation,[status(thm)],[f2513,f1318]) ).
fof(f2667,plain,
! [X0,X1,X2] : composition(join(converse(X0),converse(X1)),converse(X2)) = join(converse(composition(X2,X0)),converse(composition(X2,X1))),
inference(paramodulation,[status(thm)],[f24,f284]) ).
fof(f2705,plain,
! [X0,X1,X2] : composition(converse(join(X0,X1)),converse(X2)) = join(converse(composition(X2,X1)),converse(composition(X2,X0))),
inference(forward_demodulation,[status(thm)],[f269,f2667]) ).
fof(f2706,plain,
! [X0,X1,X2] : converse(composition(X0,join(X1,X2))) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(forward_demodulation,[status(thm)],[f24,f2705]) ).
fof(f2707,plain,
! [X0,X1,X2] : converse(composition(X0,join(X1,X2))) = converse(join(composition(X0,X1),composition(X0,X2))),
inference(forward_demodulation,[status(thm)],[f269,f2706]) ).
fof(f3994,plain,
! [X0] : join(top,zero) = join(complement(complement(join(X0,X0))),complement(X0)),
inference(paramodulation,[status(thm)],[f2490,f230]) ).
fof(f4084,plain,
! [X0] : top = join(complement(complement(join(X0,X0))),complement(X0)),
inference(forward_demodulation,[status(thm)],[f987,f3994]) ).
fof(f4085,plain,
! [X0] : top = complement(meet(complement(join(X0,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f2503,f4084]) ).
fof(f4192,plain,
! [X0] : complement(top) = meet(complement(join(X0,X0)),X0),
inference(paramodulation,[status(thm)],[f4085,f2495]) ).
fof(f4222,plain,
! [X0] : zero = meet(complement(join(X0,X0)),X0),
inference(forward_demodulation,[status(thm)],[f265,f4192]) ).
fof(f4240,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f20,f281]) ).
fof(f4275,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f22,f4240]) ).
fof(f4462,plain,
! [X0] : X0 = join(meet(join(X0,X0),X0),zero),
inference(paramodulation,[status(thm)],[f4222,f2465]) ).
fof(f5587,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f216,f4275]) ).
fof(f5591,plain,
! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f4275,f287]) ).
fof(f5637,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[status(thm)],[f4275,f5587]) ).
fof(f5642,plain,
! [X0] : complement(meet(X0,composition(one,X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f2503,f5591]) ).
fof(f5643,plain,
! [X0] : complement(meet(X0,X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f5637,f5642]) ).
fof(f6381,plain,
! [X0] : complement(complement(X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f5643,f2495]) ).
fof(f6402,plain,
! [X0] : X0 = join(X0,zero),
inference(backward_demodulation,[status(thm)],[f6431,f1978]) ).
fof(f6403,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f6431,f1321]) ).
fof(f6431,plain,
! [X0] : X0 = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f2495,f6381]) ).
fof(f6443,plain,
! [X0] : X0 = meet(join(X0,X0),X0),
inference(backward_demodulation,[status(thm)],[f6402,f4462]) ).
fof(f6472,plain,
! [X0] : complement(X0) = complement(join(X0,X0)),
inference(backward_demodulation,[status(thm)],[f6403,f2490]) ).
fof(f6649,plain,
! [X0,X1] : join(meet(X0,X1),X0) = join(X0,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f2277,f2565]) ).
fof(f8411,plain,
! [X0,X1] : join(X0,join(meet(complement(X0),join(X0,X0)),X1)) = join(join(X0,X0),X1),
inference(paramodulation,[status(thm)],[f6443,f2565]) ).
fof(f8474,plain,
! [X0,X1] : join(X0,join(meet(complement(X0),join(X0,X0)),X1)) = join(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f138,f8411]) ).
fof(f8847,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(paramodulation,[status(thm)],[f6472,f2495]) ).
fof(f8893,plain,
! [X0,X1] : join(X0,join(meet(complement(X0),X0),X1)) = join(X0,join(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8902,f8474]) ).
fof(f8902,plain,
! [X0] : X0 = join(X0,X0),
inference(forward_demodulation,[status(thm)],[f2495,f8847]) ).
fof(f8912,plain,
! [X0,X1] : join(X0,join(zero,X1)) = join(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f1624,f8893]) ).
fof(f8917,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f6403,f8912]) ).
fof(f11471,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(join(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f138,f8902]) ).
fof(f11472,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(join(X0,X1),X0)),
inference(paramodulation,[status(thm)],[f51,f8902]) ).
fof(f11482,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,join(join(X0,join(X1,X2)),X1))),
inference(paramodulation,[status(thm)],[f80,f8902]) ).
fof(f11487,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),join(X1,X0)),
inference(paramodulation,[status(thm)],[f127,f8902]) ).
fof(f11497,plain,
! [X0,X1] : join(meet(X0,X1),meet(complement(X1),X0)) = join(X0,meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f8902,f2565]) ).
fof(f11567,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,join(X1,X1))),
inference(forward_demodulation,[status(thm)],[f138,f11471]) ).
fof(f11579,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f8902,f11567]) ).
fof(f11580,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,join(X0,X1))),
inference(forward_demodulation,[status(thm)],[f138,f11472]) ).
fof(f11581,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f11579,f11580]) ).
fof(f11590,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,join(X0,join(X1,join(X1,X2))))),
inference(forward_demodulation,[status(thm)],[f138,f11482]) ).
fof(f11591,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,join(X1,join(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f11579,f11590]) ).
fof(f11596,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,join(X1,X2))),
inference(forward_demodulation,[status(thm)],[f11579,f11591]) ).
fof(f11612,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(join(X1,X0),X1)),
inference(forward_demodulation,[status(thm)],[f138,f11487]) ).
fof(f11613,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,join(X1,X0))),
inference(forward_demodulation,[status(thm)],[f138,f11612]) ).
fof(f11614,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f11596,f11613]) ).
fof(f11631,plain,
! [X0,X1] : X0 = join(X0,meet(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f2505,f11497]) ).
fof(f11784,plain,
! [X0,X1] : X0 = join(X0,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f2495,f11631]) ).
fof(f11833,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(backward_demodulation,[status(thm)],[f11784,f6649]) ).
fof(f13119,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(paramodulation,[status(thm)],[f1785,f11833]) ).
fof(f13261,plain,
! [X0,X1] : converse(converse(X0)) = join(converse(meet(X1,converse(X0))),X0),
inference(paramodulation,[status(thm)],[f13119,f272]) ).
fof(f13331,plain,
! [X0,X1] : X0 = join(converse(meet(X1,converse(X0))),X0),
inference(forward_demodulation,[status(thm)],[f22,f13261]) ).
fof(f20067,plain,
! [X0,X1,X2] : join(X0,join(X1,join(X0,X2))) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f8917,f78]) ).
fof(f113337,plain,
! [X0,X1,X2,X3] : converse(join(converse(composition(X0,join(X1,X2))),X3)) = join(converse(X3),join(composition(X0,X1),composition(X0,X2))),
inference(paramodulation,[status(thm)],[f2707,f2120]) ).
fof(f113344,plain,
! [X0,X1,X2,X3] : join(composition(X0,X1),composition(X0,X2)) = join(converse(meet(X3,converse(composition(X0,join(X1,X2))))),join(composition(X0,X1),composition(X0,X2))),
inference(paramodulation,[status(thm)],[f2707,f13331]) ).
fof(f113454,plain,
! [X0,X1,X2,X3] : join(converse(X0),composition(X1,join(X2,X3))) = join(converse(X0),join(composition(X1,X2),composition(X1,X3))),
inference(forward_demodulation,[status(thm)],[f2120,f113337]) ).
fof(f113466,plain,
! [X0,X1,X2,X3] : join(composition(X0,X1),composition(X0,X2)) = join(converse(meet(X3,converse(composition(X0,join(X1,X2))))),composition(X0,join(X1,X2))),
inference(forward_demodulation,[status(thm)],[f113454,f113344]) ).
fof(f113467,plain,
( join(composition(sk1,sk2),composition(sk1,join(join(sk2,sk3),sk3))) != join(composition(sk1,sk2),composition(sk1,sk3))
| join(composition(sk1,sk2),join(composition(sk1,sk3),composition(sk1,join(sk2,sk3)))) != composition(sk1,join(sk2,sk3)) ),
inference(backward_demodulation,[status(thm)],[f113488,f307]) ).
fof(f113488,plain,
! [X0,X1,X2] : join(composition(X0,X1),composition(X0,X2)) = composition(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f13331,f113466]) ).
fof(f113582,plain,
( join(composition(sk1,sk2),composition(sk1,join(join(sk2,sk3),sk3))) != join(composition(sk1,sk2),composition(sk1,sk3))
| join(composition(sk1,sk2),composition(sk1,join(sk3,join(sk2,sk3)))) != composition(sk1,join(sk2,sk3)) ),
inference(forward_demodulation,[status(thm)],[f113488,f113467]) ).
fof(f113583,plain,
( join(composition(sk1,sk2),composition(sk1,join(join(sk2,sk3),sk3))) != join(composition(sk1,sk2),composition(sk1,sk3))
| composition(sk1,join(sk2,join(sk3,join(sk2,sk3)))) != composition(sk1,join(sk2,sk3)) ),
inference(forward_demodulation,[status(thm)],[f113488,f113582]) ).
fof(f113584,plain,
( join(composition(sk1,sk2),composition(sk1,join(join(sk2,sk3),sk3))) != join(composition(sk1,sk2),composition(sk1,sk3))
| composition(sk1,join(sk3,join(sk2,sk3))) != composition(sk1,join(sk2,sk3)) ),
inference(forward_demodulation,[status(thm)],[f20067,f113583]) ).
fof(f113585,plain,
( join(composition(sk1,sk2),composition(sk1,join(join(sk2,sk3),sk3))) != join(composition(sk1,sk2),composition(sk1,sk3))
| composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)) ),
inference(forward_demodulation,[status(thm)],[f11581,f113584]) ).
fof(f113586,plain,
( composition(sk1,join(sk2,join(join(sk2,sk3),sk3))) != join(composition(sk1,sk2),composition(sk1,sk3))
| composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)) ),
inference(forward_demodulation,[status(thm)],[f113488,f113585]) ).
fof(f113587,plain,
( composition(sk1,join(sk2,join(sk2,join(sk3,sk3)))) != join(composition(sk1,sk2),composition(sk1,sk3))
| composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)) ),
inference(forward_demodulation,[status(thm)],[f138,f113586]) ).
fof(f113588,plain,
( composition(sk1,join(join(sk3,sk3),sk2)) != join(composition(sk1,sk2),composition(sk1,sk3))
| composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)) ),
inference(forward_demodulation,[status(thm)],[f11614,f113587]) ).
fof(f113589,plain,
( composition(sk1,join(sk3,join(sk2,sk3))) != join(composition(sk1,sk2),composition(sk1,sk3))
| composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)) ),
inference(forward_demodulation,[status(thm)],[f138,f113588]) ).
fof(f113590,plain,
( composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3))
| composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)) ),
inference(forward_demodulation,[status(thm)],[f11581,f113589]) ).
fof(f113591,plain,
( composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3))
| composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)) ),
inference(forward_demodulation,[status(thm)],[f113488,f113590]) ).
fof(f113592,plain,
composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)),
inference(duplicate_literals_removal,[status(thm)],[f113591]) ).
fof(f113593,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f113592]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL008-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:01:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 236.21/30.32 % Refutation found
% 236.21/30.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 236.21/30.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 45.24/30.44 % Elapsed time: 30.065724 seconds
% 45.24/30.44 % CPU time: 237.810433 seconds
% 45.24/30.44 % Total memory used: 649.695 MB
% 45.24/30.44 % Net memory used: 623.046 MB
%------------------------------------------------------------------------------