%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN140-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 03:15:19 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.50s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 27
% Syntax : Number of formulae : 101 ( 38 unt; 0 def)
% Number of atoms : 218 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 236 ( 119 ~; 117 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 173 ( 173 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] : q0(X,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] : m0(X,d,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [G,H] :
( ~ n0(H,G)
| l1(G,G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [A,B] :
( ~ m0(b,B,A)
| n1(A,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f88,axiom,
! [D,E] :
( ~ p0(b,E)
| ~ l0(D)
| ~ s0(b)
| n1(D,E,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,axiom,
! [E,F,G] :
( ~ n1(E,F,E)
| ~ l1(G,E)
| ~ l0(G)
| n1(E,F,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f107,axiom,
! [B,C] :
( ~ p0(C,B)
| p1(B,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f109,axiom,
! [H,I,J,A] :
( ~ s0(b)
| ~ p1(I,A,H)
| ~ l0(J)
| p1(H,I,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f123,axiom,
! [B,C] :
( ~ p0(C,B)
| p1(B,B,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f163,axiom,
! [I] :
( ~ p0(I,I)
| s1(I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f164,axiom,
! [F,G,H] :
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f171,axiom,
! [J,A,B,C] :
( ~ m0(C,B,J)
| ~ s1(B)
| ~ p0(A,A)
| l2(J,J) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f215,axiom,
! [E,F] :
( ~ p1(E,E,E)
| ~ k0(F)
| q2(E,F,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f217,axiom,
! [J,A] :
( ~ n1(J,J,A)
| ~ k1(A)
| q2(J,J,J) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f220,axiom,
! [F,G,H] :
( ~ q2(G,H,F)
| ~ n1(G,F,H)
| ~ p1(F,F,H)
| q2(F,G,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f227,axiom,
! [H] :
( ~ s1(b)
| ~ q2(b,H,b)
| s2(H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f311,axiom,
! [I,J,A,B] :
( ~ m0(A,B,J)
| ~ s2(I)
| ~ q2(A,I,A)
| s3(I,J) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f317,axiom,
! [E,F,G] :
( ~ s3(a,E)
| ~ l2(G,F)
| m4(E,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
! [X] : ~ m4(b,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f374,plain,
s0(b),
inference(cnf_transformation,[status(thm)],[f5]) ).
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(f389,plain,
l0(a),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f393,plain,
l0(c),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f401,plain,
k0(b),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f403,plain,
n0(c,d),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f406,plain,
n0(b,a),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f408,plain,
! [I] :
( ! [J] : ~ n0(J,I)
| k1(I) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f409,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
inference(cnf_transformation,[status(thm)],[f408]) ).
fof(f410,plain,
! [G] :
( ! [H] : ~ n0(H,G)
| l1(G,G) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f411,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f466,plain,
! [X0,X1] :
( ~ m0(b,X1,X0)
| n1(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f488,plain,
! [E] :
( ~ p0(b,E)
| ! [D] :
( ~ l0(D)
| ~ s0(b)
| n1(D,E,D) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f489,plain,
! [X0,X1] :
( ~ p0(b,X1)
| ~ l0(X0)
| ~ s0(b)
| n1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f495,plain,
! [E,F] :
( ~ n1(E,F,E)
| ! [G] :
( ~ l1(G,E)
| ~ l0(G)
| n1(E,F,F) ) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f496,plain,
! [X0,X1,X2] :
( ~ n1(X0,X1,X0)
| ~ l1(X2,X0)
| ~ l0(X2)
| n1(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f518,plain,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f520,plain,
( ~ s0(b)
| ! [H,I] :
( ! [A] : ~ p1(I,A,H)
| ! [J] : ~ l0(J)
| p1(H,I,H) ) ),
inference(miniscoping,[status(thm)],[f109]) ).
fof(f521,plain,
! [X0,X1,X2,X3] :
( ~ s0(b)
| ~ p1(X1,X3,X0)
| ~ l0(X2)
| p1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f520]) ).
fof(f544,plain,
! [B] :
( ! [C] : ~ p0(C,B)
| p1(B,B,B) ),
inference(miniscoping,[status(thm)],[f123]) ).
fof(f545,plain,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f544]) ).
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(f619,plain,
! [J,B] :
( ! [C] : ~ m0(C,B,J)
| ~ s1(B)
| ! [A] : ~ p0(A,A)
| l2(J,J) ),
inference(miniscoping,[status(thm)],[f171]) ).
fof(f620,plain,
! [X0,X1,X2,X3] :
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f619]) ).
fof(f686,plain,
! [E] :
( ~ p1(E,E,E)
| ! [F] :
( ~ k0(F)
| q2(E,F,F) ) ),
inference(miniscoping,[status(thm)],[f215]) ).
fof(f687,plain,
! [X0,X1] :
( ~ p1(X0,X0,X0)
| ~ k0(X1)
| q2(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f686]) ).
fof(f690,plain,
! [X0,X1] :
( ~ n1(X0,X0,X1)
| ~ k1(X1)
| q2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f693,plain,
! [X0,X1,X2] :
( ~ q2(X1,X2,X0)
| ~ n1(X1,X0,X2)
| ~ p1(X0,X0,X2)
| q2(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f703,plain,
( ~ s1(b)
| ! [H] :
( ~ q2(b,H,b)
| s2(H) ) ),
inference(miniscoping,[status(thm)],[f227]) ).
fof(f704,plain,
! [X0] :
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
inference(cnf_transformation,[status(thm)],[f703]) ).
fof(f830,plain,
! [J,A] :
( ! [B] : ~ m0(A,B,J)
| ! [I] :
( ~ s2(I)
| ~ q2(A,I,A)
| s3(I,J) ) ),
inference(miniscoping,[status(thm)],[f311]) ).
fof(f831,plain,
! [X0,X1,X2,X3] :
( ~ m0(X2,X3,X1)
| ~ s2(X0)
| ~ q2(X2,X0,X2)
| s3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f830]) ).
fof(f840,plain,
! [E] :
( ~ s3(a,E)
| ! [F] :
( ! [G] : ~ l2(G,F)
| m4(E,F) ) ),
inference(miniscoping,[status(thm)],[f317]) ).
fof(f841,plain,
! [X0,X1,X2] :
( ~ s3(a,X0)
| ~ l2(X2,X1)
| m4(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f840]) ).
fof(f924,plain,
! [X0] : ~ m4(b,X0),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f926,plain,
k1(d),
inference(resolution,[status(thm)],[f409,f403]) ).
fof(f933,plain,
l1(a,a),
inference(resolution,[status(thm)],[f411,f406]) ).
fof(f1014,plain,
! [X0] : n1(X0,X0,d),
inference(resolution,[status(thm)],[f466,f388]) ).
fof(f1029,plain,
s1(b),
inference(resolution,[status(thm)],[f607,f383]) ).
fof(f1040,plain,
! [X0,X1] :
( ~ p0(b,X1)
| ~ l0(X0)
| n1(X0,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f374]) ).
fof(f1042,plain,
! [X0] :
( ~ p0(b,X0)
| n1(a,X0,a) ),
inference(resolution,[status(thm)],[f1040,f389]) ).
fof(f1044,plain,
! [X0] : n1(a,X0,a),
inference(forward_subsumption_resolution,[status(thm)],[f1042,f383]) ).
fof(f1054,plain,
! [X0] :
( ~ n1(a,X0,a)
| ~ l0(a)
| n1(a,X0,X0) ),
inference(resolution,[status(thm)],[f496,f933]) ).
fof(f1056,plain,
! [X0] :
( ~ n1(a,X0,a)
| n1(a,X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1054,f389]) ).
fof(f1111,plain,
! [X0] : p1(X0,X0,b),
inference(resolution,[status(thm)],[f518,f383]) ).
fof(f1112,plain,
! [X0,X1,X2,X3] :
( ~ p1(X1,X3,X0)
| ~ l0(X2)
| p1(X0,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f521,f374]) ).
fof(f1113,plain,
! [X0,X1,X2] :
( ~ p1(X1,X2,X0)
| p1(X0,X1,X0) ),
inference(resolution,[status(thm)],[f1112,f393]) ).
fof(f1147,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[status(thm)],[f545,f383]) ).
fof(f1251,plain,
! [X0,X1] :
( ~ s1(X1)
| s1(X0) ),
inference(resolution,[status(thm)],[f609,f386]) ).
fof(f1256,plain,
! [X0] : s1(X0),
inference(resolution,[status(thm)],[f1251,f1029]) ).
fof(f1262,plain,
! [X0,X1,X2,X3] :
( ~ m0(X2,X3,X0)
| ~ p0(X1,X1)
| l2(X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f620,f1256]) ).
fof(f1263,plain,
! [X0,X1,X2] :
( ~ m0(X1,X2,X0)
| l2(X0,X0) ),
inference(resolution,[status(thm)],[f1262,f383]) ).
fof(f1327,plain,
! [X0,X1] :
( ~ k0(X1)
| q2(X0,X1,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f687,f1147]) ).
fof(f1328,plain,
! [X0] : q2(X0,b,b),
inference(resolution,[status(thm)],[f1327,f401]) ).
fof(f1336,plain,
! [X0] :
( ~ k1(d)
| q2(X0,X0,X0) ),
inference(resolution,[status(thm)],[f690,f1014]) ).
fof(f1339,plain,
! [X0] : q2(X0,X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f1336,f926]) ).
fof(f1372,plain,
! [X0] :
( ~ q2(b,X0,b)
| s2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f704,f1256]) ).
fof(f1502,plain,
! [X0,X1,X2] :
( ~ m0(X0,X2,X1)
| ~ s2(X0)
| s3(X0,X1) ),
inference(resolution,[status(thm)],[f831,f1339]) ).
fof(f1674,plain,
! [X0] : p1(b,X0,b),
inference(resolution,[status(thm)],[f1113,f1111]) ).
fof(f1678,plain,
! [X0] :
( ~ q2(X0,b,b)
| ~ n1(X0,b,b)
| q2(b,X0,b) ),
inference(resolution,[status(thm)],[f1674,f693]) ).
fof(f1681,plain,
! [X0] :
( ~ n1(X0,b,b)
| q2(b,X0,b) ),
inference(forward_subsumption_resolution,[status(thm)],[f1678,f1328]) ).
fof(f1758,plain,
! [X0] : l2(X0,X0),
inference(resolution,[status(thm)],[f1263,f388]) ).
fof(f1763,plain,
! [X0,X1] :
( ~ s3(a,X0)
| m4(X0,X1) ),
inference(resolution,[status(thm)],[f1758,f841]) ).
fof(f1906,plain,
! [X0] : n1(a,X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f1056,f1044]) ).
fof(f2307,plain,
! [X0,X1] :
( ~ s2(X0)
| s3(X0,X1) ),
inference(resolution,[status(thm)],[f1502,f388]) ).
fof(f2347,plain,
q2(b,a,b),
inference(resolution,[status(thm)],[f1681,f1906]) ).
fof(f2986,plain,
s2(a),
inference(resolution,[status(thm)],[f2347,f1372]) ).
fof(f2992,plain,
! [X0] : s3(a,X0),
inference(resolution,[status(thm)],[f2986,f2307]) ).
fof(f2995,plain,
! [X0,X1] : m4(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[f1763,f2992]) ).
fof(f3002,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f924,f2995]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN140-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:44:03 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.12/0.50 % Refutation found
% 0.12/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.86/1.73 % Elapsed time: 1.152537 seconds
% 1.86/1.73 % CPU time: 0.940260 seconds
% 1.86/1.73 % Total memory used: 79.868 MB
% 1.86/1.73 % Net memory used: 78.378 MB
%------------------------------------------------------------------------------