%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN137-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 03:15:18 PM UTC 2026
% Result : Unsatisfiable 0.01s 0.41s
% Output : CNFRefutation 0.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 60 ( 26 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 152 ( 81 ~; 71 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
n0(e,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] : q0(X,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] : m0(X,d,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
m0(b,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [B,C,D] :
( ~ m0(C,C,B)
| ~ l0(D)
| m1(B,C,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f163,axiom,
! [I] :
( ~ p0(I,I)
| s1(I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f164,axiom,
! [F,G,H] :
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f169,axiom,
! [D,E] :
( ~ l2(E,E)
| ~ n0(e,E)
| ~ s1(D)
| l2(D,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f172,axiom,
! [G,H,I] :
( ~ p0(H,G)
| ~ m1(I,H,H)
| ~ m0(H,G,I)
| l2(G,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f228,axiom,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f263,axiom,
! [J,A,B,C] :
( ~ s2(B)
| ~ m0(J,C,C)
| ~ l2(C,J)
| ~ m0(B,B,A)
| m3(J,A,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ m3(b,c,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f370,plain,
s0(d),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f380,plain,
n0(e,b),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f386,plain,
! [X0] : q0(X0,d),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f388,plain,
! [X0,X1] : m0(X0,d,X1),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f393,plain,
l0(c),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f400,plain,
m0(b,b,e),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f405,plain,
q0(a,b),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f407,plain,
m0(b,a,a),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f432,plain,
! [B,C] :
( ~ m0(C,C,B)
| ! [D] : ~ l0(D)
| m1(B,C,C) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f433,plain,
! [X0,X1,X2] :
( ~ m0(X1,X1,X0)
| ~ l0(X2)
| m1(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f432]) ).
fof(f607,plain,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f608,plain,
( ! [H] : ~ s1(H)
| ! [F] :
( ! [G] : ~ q0(F,G)
| s1(F) ) ),
inference(miniscoping,[status(thm)],[f164]) ).
fof(f609,plain,
! [X0,X1,X2] :
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f616,plain,
! [E] :
( ~ l2(E,E)
| ~ n0(e,E)
| ! [D] :
( ~ s1(D)
| l2(D,E) ) ),
inference(miniscoping,[status(thm)],[f169]) ).
fof(f617,plain,
! [X0,X1] :
( ~ l2(X1,X1)
| ~ n0(e,X1)
| ~ s1(X0)
| l2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f616]) ).
fof(f621,plain,
! [G,H] :
( ~ p0(H,G)
| ! [I] :
( ~ m1(I,H,H)
| ~ m0(H,G,I)
| l2(G,G) ) ),
inference(miniscoping,[status(thm)],[f172]) ).
fof(f622,plain,
! [X0,X1,X2] :
( ~ p0(X1,X0)
| ~ m1(X2,X1,X1)
| ~ m0(X1,X0,X2)
| l2(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f705,plain,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f757,plain,
! [B] :
( ~ s2(B)
| ! [J,C] :
( ~ m0(J,C,C)
| ~ l2(C,J)
| ! [A] :
( ~ m0(B,B,A)
| m3(J,A,J) ) ) ),
inference(miniscoping,[status(thm)],[f263]) ).
fof(f758,plain,
! [X0,X1,X2,X3] :
( ~ s2(X2)
| ~ m0(X0,X3,X3)
| ~ l2(X3,X0)
| ~ m0(X2,X2,X1)
| m3(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f757]) ).
fof(f924,plain,
~ m3(b,c,b),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f959,plain,
( ~ s1(a)
| s2(d) ),
inference(forward_subsumption_resolution,[status(thm)],[f705,f370]) ).
fof(f990,plain,
! [X0,X1] :
( ~ m1(X1,b,b)
| ~ m0(b,X0,X1)
| l2(X0,X0) ),
inference(resolution,[status(thm)],[f622,f383]) ).
fof(f1031,plain,
! [X0,X1] :
( ~ s2(X0)
| ~ m0(b,X1,X1)
| ~ l2(X1,b)
| ~ m0(X0,X0,c) ),
inference(resolution,[status(thm)],[f758,f924]) ).
fof(f1088,plain,
( ~ m1(e,b,b)
| l2(b,b) ),
inference(resolution,[status(thm)],[f990,f400]) ).
fof(f1096,plain,
! [X0] :
( ~ m0(b,b,e)
| ~ l0(X0)
| l2(b,b) ),
inference(resolution,[status(thm)],[f1088,f433]) ).
fof(f1097,plain,
! [X0] :
( ~ l0(X0)
| l2(b,b) ),
inference(forward_subsumption_resolution,[status(thm)],[f1096,f400]) ).
fof(f1098,plain,
l2(b,b),
inference(resolution,[status(thm)],[f1097,f393]) ).
fof(f1103,plain,
! [X0] :
( ~ n0(e,b)
| ~ s1(X0)
| l2(X0,b) ),
inference(resolution,[status(thm)],[f1098,f617]) ).
fof(f1106,plain,
! [X0] :
( ~ s1(X0)
| l2(X0,b) ),
inference(forward_subsumption_resolution,[status(thm)],[f1103,f380]) ).
fof(f1122,plain,
! [X0,X1,X2] :
( ~ s1(X2)
| ~ q0(X0,X1)
| l2(X0,b) ),
inference(resolution,[status(thm)],[f1106,f609]) ).
fof(f1141,plain,
! [X0,X1,X2] :
( ~ p0(X2,X2)
| ~ q0(X0,X1)
| l2(X0,b) ),
inference(resolution,[status(thm)],[f1122,f607]) ).
fof(f1147,plain,
! [X0,X1] :
( ~ q0(X0,X1)
| l2(X0,b) ),
inference(resolution,[status(thm)],[f1141,f383]) ).
fof(f1153,plain,
! [X0] : l2(X0,b),
inference(resolution,[status(thm)],[f1147,f386]) ).
fof(f1158,plain,
! [X0,X1] :
( ~ s2(X0)
| ~ m0(b,X1,X1)
| ~ m0(X0,X0,c) ),
inference(backward_subsumption_resolution,[status(thm)],[f1031,f1153]) ).
fof(f1159,plain,
! [X0] :
( ~ s2(d)
| ~ m0(b,X0,X0) ),
inference(resolution,[status(thm)],[f1158,f388]) ).
fof(f1160,plain,
~ s2(d),
inference(resolution,[status(thm)],[f1159,f407]) ).
fof(f1163,plain,
~ s1(a),
inference(backward_subsumption_resolution,[status(thm)],[f959,f1160]) ).
fof(f1165,plain,
! [X0,X1] :
( ~ s1(X1)
| ~ q0(a,X0) ),
inference(resolution,[status(thm)],[f1163,f609]) ).
fof(f1176,plain,
! [X0,X1] :
( ~ p0(X1,X1)
| ~ q0(a,X0) ),
inference(resolution,[status(thm)],[f1165,f607]) ).
fof(f1177,plain,
! [X0] : ~ q0(a,X0),
inference(resolution,[status(thm)],[f1176,f383]) ).
fof(f1179,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f405,f1177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN137-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n004.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 10:44:04 UTC 2026
% 0.01/0.36 % CPUTime :
% 0.01/0.38 % Drodi V4.1.1
% 0.01/0.41 % Refutation found
% 0.01/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.01/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.01/0.45 % Elapsed time: 0.081225 seconds
% 0.01/0.45 % CPU time: 0.311889 seconds
% 0.01/0.45 % Total memory used: 72.867 MB
% 0.01/0.45 % Net memory used: 72.461 MB
%------------------------------------------------------------------------------