%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP703-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:35:10 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% 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 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [A,B] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : mult(A,mult(B,op_c)) = mult(mult(A,B),op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B] : op_e = mult(mult(rd(op_c,mult(A,B)),B),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
mult(x2,mult(x3,op_e)) != mult(mult(x2,x3),op_e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f21,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f23,plain,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f26,plain,
! [X0,X1] : op_e = mult(mult(rd(op_c,mult(X0,X1)),X1),X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f28,plain,
mult(x2,mult(x3,op_e)) != mult(mult(x2,x3),op_e),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f35,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,mult(X1,X1))),X2),
inference(paramodulation,[status(thm)],[f21,f21]) ).
fof(f36,plain,
! [X0,X1] : mult(rd(op_c,mult(X0,X0)),mult(X0,mult(X0,X1))) = mult(op_e,X1),
inference(paramodulation,[status(thm)],[f26,f21]) ).
fof(f39,plain,
! [X0,X1,X2] : op_e = mult(mult(rd(op_c,mult(X0,mult(X1,mult(X1,X2)))),X2),mult(mult(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f21,f26]) ).
fof(f63,plain,
! [X0,X1] : mult(mult(rd(op_c,mult(X0,mult(X1,mult(X1,X1)))),X1),mult(X1,mult(X1,X0))) = op_e,
inference(paramodulation,[status(thm)],[f26,f35]) ).
fof(f171,plain,
! [X0,X1] : mult(rd(op_c,mult(mult(rd(op_c,mult(X0,mult(X1,mult(X1,X1)))),X1),mult(rd(op_c,mult(X0,mult(X1,mult(X1,X1)))),X1))),mult(mult(rd(op_c,mult(X0,mult(X1,mult(X1,X1)))),X1),op_e)) = mult(op_e,mult(X1,mult(X1,X0))),
inference(paramodulation,[status(thm)],[f63,f36]) ).
fof(f239,plain,
! [X0,X1,X2] : mult(rd(op_c,mult(mult(rd(op_c,mult(X0,mult(X1,mult(X1,X2)))),X2),mult(rd(op_c,mult(X0,mult(X1,mult(X1,X2)))),X2))),mult(mult(rd(op_c,mult(X0,mult(X1,mult(X1,X2)))),X2),op_e)) = mult(op_e,mult(mult(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f39,f36]) ).
fof(f271,plain,
! [X0,X1] : mult(op_e,mult(mult(X0,X1),X1)) = mult(op_e,mult(X1,mult(X1,X0))),
inference(backward_demodulation,[status(thm)],[f239,f171]) ).
fof(f281,plain,
! [X0] : mult(op_e,op_e) = mult(op_e,mult(X0,mult(X0,rd(op_c,mult(X0,X0))))),
inference(paramodulation,[status(thm)],[f26,f271]) ).
fof(f328,plain,
mult(rd(op_c,mult(op_e,op_e)),mult(op_e,op_e)) = mult(op_e,mult(op_e,rd(op_c,mult(op_e,op_e)))),
inference(paramodulation,[status(thm)],[f281,f36]) ).
fof(f351,plain,
op_c = mult(op_e,mult(op_e,rd(op_c,mult(op_e,op_e)))),
inference(forward_demodulation,[status(thm)],[f17,f328]) ).
fof(f363,plain,
mult(op_e,op_e) = mult(op_e,op_c),
inference(paramodulation,[status(thm)],[f351,f281]) ).
fof(f365,plain,
mult(mult(rd(op_c,mult(rd(op_c,mult(op_e,op_e)),mult(op_e,mult(op_e,op_e)))),op_e),op_c) = op_e,
inference(paramodulation,[status(thm)],[f351,f63]) ).
fof(f396,plain,
mult(rd(op_c,mult(rd(op_c,mult(op_e,op_e)),mult(op_e,mult(op_e,op_e)))),mult(op_e,op_c)) = op_e,
inference(forward_demodulation,[status(thm)],[f23,f365]) ).
fof(f397,plain,
mult(rd(op_c,mult(op_e,op_e)),mult(op_e,op_c)) = op_e,
inference(forward_demodulation,[status(thm)],[f36,f396]) ).
fof(f398,plain,
mult(rd(op_c,mult(op_e,op_c)),mult(op_e,op_c)) = op_e,
inference(forward_demodulation,[status(thm)],[f363,f397]) ).
fof(f406,plain,
mult(x2,mult(x3,op_e)) != mult(mult(x2,x3),op_c),
inference(backward_demodulation,[status(thm)],[f489,f28]) ).
fof(f489,plain,
op_c = op_e,
inference(forward_demodulation,[status(thm)],[f17,f398]) ).
fof(f692,plain,
mult(x2,mult(x3,op_c)) != mult(mult(x2,x3),op_c),
inference(forward_demodulation,[status(thm)],[f489,f406]) ).
fof(f693,plain,
mult(x2,mult(x3,op_c)) != mult(x2,mult(x3,op_c)),
inference(forward_demodulation,[status(thm)],[f23,f692]) ).
fof(f694,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f693]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP703-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n008.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:35:09 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.032967 seconds
% 0.14/0.40 % CPU time: 0.092291 seconds
% 0.14/0.40 % Total memory used: 5.430 MB
% 0.14/0.40 % Net memory used: 5.375 MB
%------------------------------------------------------------------------------