%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP665-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 12:35:04 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.35s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] : mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A] : mult(op_c,A) = mult(A,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
mult(mult(x0,op_c),x1) != mult(x0,mult(op_c,x1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f14,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f17,plain,
! [X0,X1,X2] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),ld(X2,mult(X1,X2))),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
mult(mult(x0,op_c),x1) != mult(x0,mult(op_c,x1)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f26,plain,
mult(mult(op_c,x0),x1) != mult(x0,mult(op_c,x1)),
inference(forward_demodulation,[status(thm)],[f19,f20]) ).
fof(f38,plain,
! [X0] : ld(X0,X0) = unit,
inference(paramodulation,[status(thm)],[f15,f12]) ).
fof(f69,plain,
! [X0] : rd(mult(X0,op_c),X0) = op_c,
inference(paramodulation,[status(thm)],[f19,f14]) ).
fof(f108,plain,
! [X0,X1] : mult(X0,mult(op_c,X1)) = mult(op_c,mult(X0,X1)),
inference(paramodulation,[status(thm)],[f69,f17]) ).
fof(f127,plain,
mult(mult(op_c,x0),x1) != mult(op_c,mult(x0,x1)),
inference(backward_demodulation,[status(thm)],[f108,f26]) ).
fof(f181,plain,
! [X0,X1] : mult(X0,X1) = mult(op_c,mult(X0,ld(op_c,X1))),
inference(paramodulation,[status(thm)],[f11,f108]) ).
fof(f237,plain,
! [X0,X1] : ld(op_c,mult(X0,X1)) = mult(X0,ld(op_c,X1)),
inference(paramodulation,[status(thm)],[f181,f12]) ).
fof(f461,plain,
! [X0,X1] : mult(mult(X0,X1),op_c) = mult(mult(op_c,X0),ld(op_c,mult(X1,op_c))),
inference(paramodulation,[status(thm)],[f19,f18]) ).
fof(f490,plain,
! [X0,X1] : mult(op_c,mult(X0,X1)) = mult(mult(op_c,X0),ld(op_c,mult(X1,op_c))),
inference(forward_demodulation,[status(thm)],[f19,f461]) ).
fof(f491,plain,
! [X0,X1] : mult(op_c,mult(X0,X1)) = mult(mult(op_c,X0),mult(X1,ld(op_c,op_c))),
inference(forward_demodulation,[status(thm)],[f237,f490]) ).
fof(f492,plain,
! [X0,X1] : mult(op_c,mult(X0,X1)) = mult(mult(op_c,X0),mult(X1,unit)),
inference(forward_demodulation,[status(thm)],[f38,f491]) ).
fof(f494,plain,
mult(op_c,mult(x0,x1)) != mult(op_c,mult(x0,x1)),
inference(backward_demodulation,[status(thm)],[f500,f127]) ).
fof(f500,plain,
! [X0,X1] : mult(op_c,mult(X0,X1)) = mult(mult(op_c,X0),X1),
inference(forward_demodulation,[status(thm)],[f15,f492]) ).
fof(f534,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f494]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP665-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.33 % Computer : n003.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8046.5625MB
% 0.09/0.33 % OS : Linux 6.8.0-71-generic
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Sun Sep 20 20:32:30 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 % Drodi V4.1.1
% 0.09/0.35 % Refutation found
% 0.09/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.38 % Elapsed time: 0.036945 seconds
% 0.09/0.38 % CPU time: 0.060463 seconds
% 0.09/0.38 % Total memory used: 2.655 MB
% 0.09/0.38 % Net memory used: 2.624 MB
%------------------------------------------------------------------------------