%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP697-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 12:35:09 PM UTC 2026
% Result : Unsatisfiable 1.81s 0.71s
% Output : CNFRefutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 19
% Syntax : Number of formulae : 64 ( 64 unt; 8 def)
% Number of atoms : 64 ( 63 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 57 ( 57 !; 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(f3,axiom,
! [A,B] : mult(rd(A,B),B) = A,
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] : mult(A,i(mult(B,A))) = i(B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,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(f9,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(f10,axiom,
! [A] : mult(i(A),A) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A] : mult(A,i(A)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
mult(mult(a,b),mult(b,mult(c,b))) != mult(mult(a,mult(b,mult(b,c))),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f14,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f15,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f16,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f19,plain,
! [X0,X1] : mult(X0,i(mult(X1,X0))) = i(X1),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f20,plain,
! [X0,X1,X2] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f21,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),ld(X2,mult(X1,X2))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f22,plain,
! [X0] : mult(i(X0),X0) = unit,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f23,plain,
! [X0] : mult(X0,i(X0)) = unit,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f24,plain,
mult(mult(a,b),mult(b,mult(c,b))) != mult(mult(a,mult(b,mult(b,c))),b),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f25,definition,
sF1_fnc = mult(a,b),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f26,definition,
sF3_fnc = mult(c,b),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f27,definition,
sF2_fnc = mult(b,sF3_fnc),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f28,definition,
sF0_fnc = mult(sF1_fnc,sF2_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f29,definition,
sF7_fnc = mult(b,c),
introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition]) ).
fof(f30,definition,
sF6_fnc = mult(b,sF7_fnc),
introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition]) ).
fof(f31,definition,
sF5_fnc = mult(a,sF6_fnc),
introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition]) ).
fof(f32,definition,
sF4_fnc = mult(sF5_fnc,b),
introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition]) ).
fof(f33,plain,
sF0_fnc != sF4_fnc,
inference(definition_folding,[],[f24,f32,f31,f30,f29,f28,f27,f26,f25]) ).
fof(f81,plain,
i(unit) = unit,
inference(paramodulation,[status(thm)],[f17,f22]) ).
fof(f97,plain,
! [X0] : mult(X0,i(unit)) = i(i(X0)),
inference(paramodulation,[status(thm)],[f22,f19]) ).
fof(f103,plain,
mult(c,i(sF7_fnc)) = i(b),
inference(paramodulation,[status(thm)],[f29,f19]) ).
fof(f105,plain,
mult(b,i(sF3_fnc)) = i(c),
inference(paramodulation,[status(thm)],[f26,f19]) ).
fof(f113,plain,
! [X0,X1] : rd(i(X0),i(mult(X0,X1))) = X1,
inference(paramodulation,[status(thm)],[f19,f16]) ).
fof(f114,plain,
! [X0,X1] : ld(X0,i(X1)) = i(mult(X1,X0)),
inference(paramodulation,[status(thm)],[f19,f14]) ).
fof(f115,plain,
! [X0] : mult(X0,unit) = i(i(X0)),
inference(forward_demodulation,[status(thm)],[f81,f97]) ).
fof(f116,plain,
! [X0] : X0 = i(i(X0)),
inference(forward_demodulation,[status(thm)],[f17,f115]) ).
fof(f145,plain,
! [X0] : mult(b,mult(X0,sF3_fnc)) = mult(rd(mult(b,X0),b),sF2_fnc),
inference(paramodulation,[status(thm)],[f27,f20]) ).
fof(f150,plain,
! [X0,X1] : mult(X0,mult(X1,i(X0))) = mult(rd(mult(X0,X1),X0),unit),
inference(paramodulation,[status(thm)],[f23,f20]) ).
fof(f165,plain,
! [X0,X1] : mult(X0,mult(X1,i(X0))) = rd(mult(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f17,f150]) ).
fof(f179,plain,
! [X0] : mult(mult(a,X0),b) = mult(sF1_fnc,ld(b,mult(X0,b))),
inference(paramodulation,[status(thm)],[f25,f21]) ).
fof(f254,plain,
ld(c,i(b)) = i(sF7_fnc),
inference(paramodulation,[status(thm)],[f103,f14]) ).
fof(f444,plain,
! [X0,X1] : rd(i(X0),i(i(X1))) = i(mult(X1,X0)),
inference(paramodulation,[status(thm)],[f19,f113]) ).
fof(f470,plain,
! [X0,X1] : rd(i(X0),X1) = i(mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f116,f444]) ).
fof(f1800,plain,
! [X0,X1] : rd(i(X0),X1) = ld(X0,i(X1)),
inference(forward_demodulation,[status(thm)],[f114,f470]) ).
fof(f2235,plain,
mult(b,mult(i(sF3_fnc),sF3_fnc)) = mult(rd(i(c),b),sF2_fnc),
inference(paramodulation,[status(thm)],[f105,f145]) ).
fof(f2252,plain,
mult(b,unit) = mult(rd(i(c),b),sF2_fnc),
inference(forward_demodulation,[status(thm)],[f22,f2235]) ).
fof(f2253,plain,
b = mult(rd(i(c),b),sF2_fnc),
inference(forward_demodulation,[status(thm)],[f17,f2252]) ).
fof(f2254,plain,
b = mult(ld(c,i(b)),sF2_fnc),
inference(forward_demodulation,[status(thm)],[f1800,f2253]) ).
fof(f2255,plain,
b = mult(i(sF7_fnc),sF2_fnc),
inference(forward_demodulation,[status(thm)],[f254,f2254]) ).
fof(f2273,plain,
ld(sF2_fnc,i(i(sF7_fnc))) = i(b),
inference(paramodulation,[status(thm)],[f2255,f114]) ).
fof(f2283,plain,
ld(sF2_fnc,sF7_fnc) = i(b),
inference(forward_demodulation,[status(thm)],[f116,f2273]) ).
fof(f2288,plain,
mult(sF2_fnc,i(b)) = sF7_fnc,
inference(paramodulation,[status(thm)],[f2283,f13]) ).
fof(f3723,plain,
mult(b,sF7_fnc) = rd(mult(b,sF2_fnc),b),
inference(paramodulation,[status(thm)],[f2288,f165]) ).
fof(f3786,plain,
sF6_fnc = rd(mult(b,sF2_fnc),b),
inference(forward_demodulation,[status(thm)],[f30,f3723]) ).
fof(f4035,plain,
mult(sF6_fnc,b) = mult(b,sF2_fnc),
inference(paramodulation,[status(thm)],[f3786,f15]) ).
fof(f7811,plain,
mult(mult(a,sF6_fnc),b) = mult(sF1_fnc,ld(b,mult(b,sF2_fnc))),
inference(paramodulation,[status(thm)],[f4035,f179]) ).
fof(f7847,plain,
mult(sF5_fnc,b) = mult(sF1_fnc,ld(b,mult(b,sF2_fnc))),
inference(forward_demodulation,[status(thm)],[f31,f7811]) ).
fof(f7848,plain,
sF4_fnc = mult(sF1_fnc,ld(b,mult(b,sF2_fnc))),
inference(forward_demodulation,[status(thm)],[f32,f7847]) ).
fof(f7849,plain,
sF4_fnc = mult(sF1_fnc,sF2_fnc),
inference(forward_demodulation,[status(thm)],[f14,f7848]) ).
fof(f7850,plain,
sF4_fnc = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f28,f7849]) ).
fof(f7851,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f7850,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP697-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:34:23 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 1.81/0.71 % Refutation found
% 1.81/0.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.81/0.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.39/0.75 % Elapsed time: 0.381442 seconds
% 1.39/0.75 % CPU time: 2.850363 seconds
% 1.39/0.75 % Total memory used: 79.074 MB
% 1.39/0.75 % Net memory used: 77.408 MB
%------------------------------------------------------------------------------