%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP708-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 12:35:12 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.70s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 37 unt; 4 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 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(f6,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : mult(op_c,A) = mult(A,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : mult(mult(op_c,op_c),mult(A,B)) = mult(mult(mult(op_c,op_c),A),B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
mult(a,mult(b,op_c)) != mult(mult(a,b),op_c),
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(f16,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0,X1] : mult(mult(op_c,op_c),mult(X0,X1)) = mult(mult(mult(op_c,op_c),X0),X1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
mult(a,mult(b,op_c)) != mult(mult(a,b),op_c),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f21,definition,
sF1_fnc = mult(b,op_c),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f22,definition,
sF0_fnc = mult(a,sF1_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f23,definition,
sF3_fnc = mult(a,b),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f24,definition,
sF2_fnc = mult(sF3_fnc,op_c),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f25,plain,
sF0_fnc != sF2_fnc,
inference(definition_folding,[],[f20,f24,f23,f22,f21]) ).
fof(f27,plain,
mult(op_c,sF3_fnc) = sF2_fnc,
inference(paramodulation,[status(thm)],[f24,f18]) ).
fof(f39,plain,
! [X0,X1] : mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(op_c,mult(op_c,X0)),X1),
inference(paramodulation,[status(thm)],[f18,f17]) ).
fof(f445,plain,
! [X0,X1] : mult(X0,mult(unit,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f485,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f16,f445]) ).
fof(f513,plain,
! [X0] : ld(op_c,mult(X0,op_c)) = X0,
inference(paramodulation,[status(thm)],[f18,f12]) ).
fof(f876,plain,
ld(op_c,sF1_fnc) = b,
inference(paramodulation,[status(thm)],[f21,f513]) ).
fof(f880,plain,
mult(op_c,b) = sF1_fnc,
inference(paramodulation,[status(thm)],[f876,f11]) ).
fof(f1128,plain,
! [X0,X1] : mult(op_c,mult(op_c,mult(X0,X1))) = mult(mult(mult(op_c,op_c),X0),X1),
inference(backward_demodulation,[status(thm)],[f485,f19]) ).
fof(f1162,plain,
! [X0,X1] : ld(mult(X0,X0),mult(X0,mult(X0,X1))) = X1,
inference(paramodulation,[status(thm)],[f485,f12]) ).
fof(f1166,plain,
! [X0,X1] : mult(op_c,mult(op_c,mult(X0,X1))) = mult(mult(op_c,mult(op_c,X0)),X1),
inference(forward_demodulation,[status(thm)],[f485,f1128]) ).
fof(f1167,plain,
! [X0,X1] : mult(op_c,mult(op_c,mult(X0,X1))) = mult(op_c,mult(X0,mult(op_c,X1))),
inference(forward_demodulation,[status(thm)],[f39,f1166]) ).
fof(f1725,plain,
mult(op_c,mult(op_c,sF3_fnc)) = mult(op_c,mult(a,mult(op_c,b))),
inference(paramodulation,[status(thm)],[f23,f1167]) ).
fof(f1806,plain,
mult(op_c,sF2_fnc) = mult(op_c,mult(a,mult(op_c,b))),
inference(forward_demodulation,[status(thm)],[f27,f1725]) ).
fof(f1807,plain,
mult(op_c,sF2_fnc) = mult(op_c,mult(a,sF1_fnc)),
inference(forward_demodulation,[status(thm)],[f880,f1806]) ).
fof(f1808,plain,
mult(op_c,sF2_fnc) = mult(op_c,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f22,f1807]) ).
fof(f2012,plain,
ld(mult(op_c,op_c),mult(op_c,mult(op_c,sF0_fnc))) = sF2_fnc,
inference(paramodulation,[status(thm)],[f1808,f1162]) ).
fof(f2022,plain,
sF0_fnc = sF2_fnc,
inference(forward_demodulation,[status(thm)],[f1162,f2012]) ).
fof(f2023,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2022,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP708-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.57 % Computer : n013.cluster.edu
% 0.15/0.57 % Model : x86_64 x86_64
% 0.15/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.57 % Memory : 8046.5625MB
% 0.15/0.57 % OS : Linux 6.8.0-71-generic
% 0.15/0.57 % CPULimit : 300
% 0.15/0.57 % WCLimit : 300
% 0.15/0.57 % DateTime : Sun Sep 20 20:34:06 UTC 2026
% 0.15/0.57 % CPUTime :
% 0.15/0.57 % Drodi V4.1.1
% 0.20/0.70 % Refutation found
% 0.20/0.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.70/1.92 % Elapsed time: 1.129636 seconds
% 7.70/1.92 % CPU time: 0.850144 seconds
% 7.70/1.92 % Total memory used: 31.987 MB
% 7.70/1.92 % Net memory used: 31.414 MB
%------------------------------------------------------------------------------