%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP752-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 12:35:16 PM UTC 2026
% Result : Unsatisfiable 193.91s 29.98s
% Output : CNFRefutation 138.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 100 ( 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : mult(mult(A,mult(A,A)),mult(B,C)) = mult(mult(A,B),mult(mult(A,A),C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B,C] : mult(mult(A,A),mult(B,C)) = mult(mult(A,B),mult(A,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : mult(mult(A,B),mult(C,C)) = mult(mult(A,C),mult(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
mult(mult(a,b),c) != mult(mult(a,c),mult(b,ld(c,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X0,X0)),mult(X1,X2)) = mult(mult(X0,X1),mult(mult(X0,X0),X2)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
! [X0,X1,X2] : mult(mult(X0,X0),mult(X1,X2)) = mult(mult(X0,X1),mult(X0,X2)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X2,X2)) = mult(mult(X0,X2),mult(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f16,plain,
mult(mult(a,b),c) != mult(mult(a,c),mult(b,ld(c,c))),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f30,plain,
! [X0,X1,X2] : mult(mult(X0,X0),X1) = mult(mult(X0,X2),mult(X0,ld(X2,X1))),
inference(paramodulation,[status(thm)],[f9,f14]) ).
fof(f34,plain,
! [X0,X1,X2] : mult(mult(X0,X0),mult(ld(X0,X1),X2)) = mult(X1,mult(X0,X2)),
inference(paramodulation,[status(thm)],[f9,f14]) ).
fof(f37,plain,
! [X0,X1,X2] : mult(mult(X0,X0),mult(X1,ld(X0,X2))) = mult(mult(X0,X1),X2),
inference(paramodulation,[status(thm)],[f9,f14]) ).
fof(f46,plain,
! [X0,X1,X2] : ld(mult(X0,X0),mult(X1,mult(X0,X2))) = mult(ld(X0,X1),X2),
inference(paramodulation,[status(thm)],[f34,f10]) ).
fof(f56,plain,
! [X0,X1,X2] : ld(mult(X0,X0),mult(X1,X2)) = mult(ld(X0,X1),ld(X0,X2)),
inference(paramodulation,[status(thm)],[f9,f46]) ).
fof(f72,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X0,X0)),X1) = mult(mult(X0,X2),mult(mult(X0,X0),ld(X2,X1))),
inference(paramodulation,[status(thm)],[f9,f13]) ).
fof(f109,plain,
! [X0,X1,X2] : ld(mult(X0,X0),mult(mult(X0,X1),X2)) = mult(X1,ld(X0,X2)),
inference(paramodulation,[status(thm)],[f10,f56]) ).
fof(f297,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(mult(X0,X0),X2)) = mult(X0,ld(X1,X2)),
inference(paramodulation,[status(thm)],[f30,f10]) ).
fof(f317,plain,
! [X0,X1,X2,X3] : ld(mult(mult(X0,X0),X1),mult(mult(mult(X0,X2),mult(X0,X2)),X3)) = mult(mult(X0,X2),ld(mult(X0,ld(X2,X1)),X3)),
inference(paramodulation,[status(thm)],[f30,f297]) ).
fof(f324,plain,
! [X0,X1,X2,X3] : ld(mult(X0,X1),mult(mult(X0,X2),X3)) = mult(X0,ld(X1,mult(X2,ld(X0,X3)))),
inference(paramodulation,[status(thm)],[f37,f297]) ).
fof(f417,plain,
! [X0,X1,X2] : ld(mult(X0,X0),mult(mult(X0,mult(X0,X0)),X1)) = mult(X2,ld(X0,mult(mult(X0,X0),ld(X2,X1)))),
inference(paramodulation,[status(thm)],[f72,f109]) ).
fof(f439,plain,
! [X0,X1,X2] : mult(mult(X0,X0),ld(X0,X1)) = mult(X2,ld(X0,mult(mult(X0,X0),ld(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f109,f417]) ).
fof(f440,plain,
! [X0,X1,X2] : mult(mult(X0,X0),ld(X0,X1)) = ld(mult(X2,X0),mult(mult(X2,mult(X0,X0)),X1)),
inference(forward_demodulation,[status(thm)],[f324,f439]) ).
fof(f617,plain,
! [X0,X1,X2] : mult(mult(X0,X0),ld(X0,X1)) = ld(mult(mult(X2,X2),X0),mult(mult(mult(X2,X0),mult(X2,X0)),X1)),
inference(paramodulation,[status(thm)],[f14,f440]) ).
fof(f661,plain,
! [X0,X1,X2] : mult(mult(X0,X0),ld(X0,X1)) = mult(mult(X2,X0),ld(mult(X2,ld(X0,X0)),X1)),
inference(forward_demodulation,[status(thm)],[f317,f617]) ).
fof(f686,plain,
! [X0,X1,X2] : mult(X0,mult(X1,X1)) = mult(mult(X2,X1),mult(ld(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f9,f15]) ).
fof(f1761,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(X2,mult(X1,X1))) = mult(ld(X0,X2),X1),
inference(paramodulation,[status(thm)],[f686,f10]) ).
fof(f3964,plain,
! [X0,X1,X2] : mult(mult(X0,X0),ld(X0,mult(X1,mult(ld(X0,X0),ld(X0,X0))))) = mult(mult(X2,X0),mult(ld(X2,X1),ld(X0,X0))),
inference(paramodulation,[status(thm)],[f1761,f661]) ).
fof(f4044,plain,
! [X0,X1,X2] : mult(mult(X0,X0),ld(X0,mult(X1,ld(mult(X0,X0),mult(X0,X0))))) = mult(mult(X2,X0),mult(ld(X2,X1),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f56,f3964]) ).
fof(f4045,plain,
! [X0,X1,X2] : ld(mult(mult(X0,X0),X0),mult(mult(mult(X0,X0),X1),mult(X0,X0))) = mult(mult(X2,X0),mult(ld(X2,X1),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f324,f4044]) ).
fof(f4046,plain,
! [X0,X1,X2] : mult(ld(mult(X0,X0),mult(mult(X0,X0),X1)),X0) = mult(mult(X2,X0),mult(ld(X2,X1),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f1761,f4045]) ).
fof(f4047,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X0,X1)),X0) = mult(mult(X2,X0),mult(ld(X2,X1),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f297,f4046]) ).
fof(f4048,plain,
! [X0,X1,X2] : mult(X0,X1) = mult(mult(X2,X1),mult(ld(X2,X0),ld(X1,X1))),
inference(forward_demodulation,[status(thm)],[f9,f4047]) ).
fof(f4149,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),mult(X1,ld(X2,X2))),
inference(paramodulation,[status(thm)],[f10,f4048]) ).
fof(f4228,plain,
mult(mult(a,b),c) != mult(mult(a,b),c),
inference(backward_demodulation,[status(thm)],[f4149,f16]) ).
fof(f4357,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f4228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP752-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n001.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 20 20:43:33 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 193.91/29.98 % Refutation found
% 193.91/29.98 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 193.91/29.98 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 190.74/31.33 % Elapsed time: 25.739494 seconds
% 190.74/31.33 % CPU time: 189.233576 seconds
% 190.74/31.33 % Total memory used: 719.853 MB
% 190.74/31.33 % Net memory used: 705.201 MB
%------------------------------------------------------------------------------