%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWX207-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 03:13:26 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.62s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 38 unt; 0 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 9 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Q] : impl(btrue,Q) = Q,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [Y] : append(nil,Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [Z,Xs,Y] : append(cons(Z,Xs),Y) = cons(Z,append(Xs,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
linP(pB) = cons(b,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
linP(pE) = nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [P,Q] : linC(c2(P,Q)) = append(linP(P),linP(Q)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] : unambig(X,Y) = impl(eq(linC(X),linC(Y)),eq4(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
eq3(pE,pB) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [X,Z,Y,X2] :
( eq4(c2(X,Y),c2(Z,X2)) = bfalse
| eq3(X,Z) != bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X] : eq(X,X) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [X] : eq5(X,X) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
! [X,Y] : eq5(unambig(X,Y),bfalse) != btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,plain,
! [X0] : impl(btrue,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f52,plain,
! [X0] : append(nil,X0) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f53,plain,
! [X0,X1,X2] : append(cons(X0,X1),X2) = cons(X0,append(X1,X2)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f57,plain,
linP(pB) = cons(b,nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f58,plain,
linP(pE) = nil,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f59,plain,
! [X0,X1] : linC(c2(X0,X1)) = append(linP(X0),linP(X1)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f60,plain,
! [X0,X1] : unambig(X0,X1) = impl(eq(linC(X0),linC(X1)),eq4(X0,X1)),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f68,plain,
eq3(pE,pB) = bfalse,
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f87,plain,
! [X,Z] :
( ! [Y,X2] : eq4(c2(X,Y),c2(Z,X2)) = bfalse
| eq3(X,Z) != bfalse ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( eq4(c2(X0,X2),c2(X1,X3)) = bfalse
| eq3(X0,X1) != bfalse ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f91,plain,
! [X0] : eq(X0,X0) = btrue,
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f95,plain,
! [X0] : eq5(X0,X0) = btrue,
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f102,plain,
! [X0,X1] : eq5(unambig(X0,X1),bfalse) != btrue,
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f113,plain,
! [X0,X1] : append(cons(X0,nil),X1) = cons(X0,X1),
inference(paramodulation,[status(thm)],[f52,f53]) ).
fof(f130,plain,
! [X0] : linC(c2(pE,X0)) = append(nil,linP(X0)),
inference(paramodulation,[status(thm)],[f58,f59]) ).
fof(f131,plain,
! [X0] : linC(c2(X0,pE)) = append(linP(X0),nil),
inference(paramodulation,[status(thm)],[f58,f59]) ).
fof(f133,plain,
! [X0] : linC(c2(pE,X0)) = linP(X0),
inference(forward_demodulation,[status(thm)],[f52,f130]) ).
fof(f200,plain,
! [X0] : append(linP(pB),X0) = cons(b,X0),
inference(paramodulation,[status(thm)],[f57,f113]) ).
fof(f227,plain,
! [X0,X1] : unambig(X0,c2(X1,pE)) = impl(eq(linC(X0),append(linP(X1),nil)),eq4(X0,c2(X1,pE))),
inference(paramodulation,[status(thm)],[f131,f60]) ).
fof(f291,plain,
! [X0,X1] : eq4(c2(pE,X0),c2(pB,X1)) = bfalse,
inference(resolution,[status(thm)],[f88,f68]) ).
fof(f563,plain,
! [X0] : unambig(c2(pE,X0),c2(pB,pE)) = impl(eq(linC(c2(pE,X0)),append(linP(pB),nil)),bfalse),
inference(paramodulation,[status(thm)],[f291,f227]) ).
fof(f574,plain,
! [X0] : unambig(c2(pE,X0),c2(pB,pE)) = impl(eq(linP(X0),append(linP(pB),nil)),bfalse),
inference(forward_demodulation,[status(thm)],[f133,f563]) ).
fof(f575,plain,
! [X0] : unambig(c2(pE,X0),c2(pB,pE)) = impl(eq(linP(X0),cons(b,nil)),bfalse),
inference(forward_demodulation,[status(thm)],[f200,f574]) ).
fof(f576,plain,
! [X0] : unambig(c2(pE,X0),c2(pB,pE)) = impl(eq(linP(X0),linP(pB)),bfalse),
inference(forward_demodulation,[status(thm)],[f57,f575]) ).
fof(f699,plain,
! [X0] : eq5(impl(eq(linP(X0),linP(pB)),bfalse),bfalse) != btrue,
inference(paramodulation,[status(thm)],[f576,f102]) ).
fof(f704,plain,
eq5(impl(btrue,bfalse),bfalse) != btrue,
inference(paramodulation,[status(thm)],[f91,f699]) ).
fof(f706,plain,
eq5(bfalse,bfalse) != btrue,
inference(forward_demodulation,[status(thm)],[f50,f704]) ).
fof(f707,plain,
btrue != btrue,
inference(forward_demodulation,[status(thm)],[f95,f706]) ).
fof(f708,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f707]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX207-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.57 % Computer : n015.cluster.edu
% 0.12/0.57 % Model : x86_64 x86_64
% 0.12/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.57 % Memory : 8046.5625MB
% 0.12/0.57 % OS : Linux 6.8.0-71-generic
% 0.12/0.57 % CPULimit : 300
% 0.12/0.57 % WCLimit : 300
% 0.12/0.57 % DateTime : Mon Sep 21 10:36:23 UTC 2026
% 0.12/0.57 % CPUTime :
% 0.14/0.58 % Drodi V4.1.1
% 0.14/0.62 % Refutation found
% 0.14/0.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.65 % Elapsed time: 0.063441 seconds
% 0.14/0.65 % CPU time: 0.291246 seconds
% 0.14/0.65 % Total memory used: 70.986 MB
% 0.14/0.65 % Net memory used: 70.923 MB
%------------------------------------------------------------------------------