%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN180-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 03:15:25 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 57 ( 18 unt; 0 def)
% Number of atoms : 132 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 153 ( 78 ~; 75 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 115 ( 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
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(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f106,axiom,
! [D] :
( ~ k0(D)
| p1(D,D,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f123,axiom,
! [B,C] :
( ~ p0(C,B)
| p1(B,B,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f148,axiom,
! [B,C,D] :
( ~ m0(C,D,B)
| q1(B,B,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f162,axiom,
! [D,E] :
( ~ q1(d,E,d)
| ~ s0(d)
| ~ q0(D,E)
| r1(D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f175,axiom,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f215,axiom,
! [E,F] :
( ~ p1(E,E,E)
| ~ k0(F)
| q2(E,F,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f225,axiom,
! [C,D,E,F] :
( ~ q2(D,D,D)
| ~ k0(D)
| ~ m0(E,F,C)
| ~ r1(D)
| q2(C,D,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f248,axiom,
! [D] :
( ~ n2(D)
| k3(D,D,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f274,axiom,
! [A] :
( ~ n2(A)
| m3(A,A,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f333,axiom,
! [B,C,D,E,F] :
( ~ m3(E,F,E)
| ~ q2(E,C,B)
| ~ k3(D,D,B)
| q4(B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ q4(a,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f370,plain,
s0(d),
inference(cnf_transformation,[status(thm)],[f1]) ).
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(f397,plain,
k0(e),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f517,plain,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
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(f583,plain,
! [B] :
( ! [C,D] : ~ m0(C,D,B)
| q1(B,B,B) ),
inference(miniscoping,[status(thm)],[f148]) ).
fof(f584,plain,
! [X0,X1,X2] :
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f583]) ).
fof(f605,plain,
! [E] :
( ~ q1(d,E,d)
| ~ s0(d)
| ! [D] :
( ~ q0(D,E)
| r1(D) ) ),
inference(miniscoping,[status(thm)],[f162]) ).
fof(f606,plain,
! [X0,X1] :
( ~ q1(d,X1,d)
| ~ s0(d)
| ~ q0(X0,X1)
| r1(X0) ),
inference(cnf_transformation,[status(thm)],[f605]) ).
fof(f626,plain,
! [A] :
( ! [B,C] : ~ p1(B,C,A)
| n2(A) ),
inference(miniscoping,[status(thm)],[f175]) ).
fof(f627,plain,
! [X0,X1,X2] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
inference(cnf_transformation,[status(thm)],[f626]) ).
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(f700,plain,
! [D] :
( ~ q2(D,D,D)
| ~ k0(D)
| ! [C] :
( ! [E,F] : ~ m0(E,F,C)
| ~ r1(D)
| q2(C,D,C) ) ),
inference(miniscoping,[status(thm)],[f225]) ).
fof(f701,plain,
! [X0,X1,X2,X3] :
( ~ q2(X1,X1,X1)
| ~ k0(X1)
| ~ m0(X2,X3,X0)
| ~ r1(X1)
| q2(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f700]) ).
fof(f735,plain,
! [X0] :
( ~ n2(X0)
| k3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f774,plain,
! [X0] :
( ~ n2(X0)
| m3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f866,plain,
! [E] :
( ! [F] : ~ m3(E,F,E)
| ! [B,C] :
( ~ q2(E,C,B)
| ! [D] : ~ k3(D,D,B)
| q4(B,C) ) ),
inference(miniscoping,[status(thm)],[f333]) ).
fof(f867,plain,
! [X0,X1,X2,X3,X4] :
( ~ m3(X3,X4,X3)
| ~ q2(X3,X1,X0)
| ~ k3(X2,X2,X0)
| q4(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f866]) ).
fof(f924,plain,
~ q4(a,e),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f968,plain,
! [X0,X1,X2,X3] :
( ~ q2(X0,X2,X1)
| ~ k3(X3,X3,X1)
| q4(X1,X2)
| ~ n2(X0) ),
inference(resolution,[status(thm)],[f774,f867]) ).
fof(f1004,plain,
! [X0,X1] :
( n2(X1)
| ~ p0(X0,X1) ),
inference(resolution,[status(thm)],[f545,f627]) ).
fof(f1006,plain,
! [X0] : n2(X0),
inference(resolution,[status(thm)],[f1004,f383]) ).
fof(f1007,plain,
! [X0,X1,X2,X3] :
( ~ q2(X3,X1,X0)
| ~ k3(X2,X2,X0)
| q4(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f968,f1006]) ).
fof(f1010,plain,
! [X0] : k3(X0,X0,X0),
inference(backward_subsumption_resolution,[status(thm)],[f735,f1006]) ).
fof(f1086,plain,
! [X0] : q1(X0,X0,X0),
inference(resolution,[status(thm)],[f584,f388]) ).
fof(f1450,plain,
! [X0,X1] :
( ~ k0(X0)
| ~ k0(X1)
| q2(X0,X1,X1) ),
inference(resolution,[status(thm)],[f687,f517]) ).
fof(f1785,plain,
! [X0,X1] :
( ~ q1(d,X1,d)
| ~ q0(X0,X1)
| r1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f606,f370]) ).
fof(f1792,plain,
! [X0] :
( ~ q0(X0,d)
| r1(X0) ),
inference(resolution,[status(thm)],[f1785,f1086]) ).
fof(f1798,plain,
! [X0] : r1(X0),
inference(forward_subsumption_resolution,[status(thm)],[f1792,f386]) ).
fof(f2324,plain,
! [X0,X1,X2,X3] :
( ~ q2(X1,X1,X1)
| ~ k0(X1)
| ~ m0(X2,X3,X0)
| q2(X0,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f701,f1798]) ).
fof(f2347,plain,
! [X0,X1,X2,X3] :
( ~ k0(X1)
| ~ k0(X1)
| ~ k0(X1)
| ~ m0(X2,X3,X0)
| q2(X0,X1,X0) ),
inference(resolution,[status(thm)],[f2324,f1450]) ).
fof(f2367,plain,
! [X0,X1,X2,X3] :
( ~ k0(X1)
| ~ m0(X2,X3,X0)
| q2(X0,X1,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2347]) ).
fof(f2456,plain,
! [X0,X1] :
( ~ k0(X1)
| q2(X0,X1,X0) ),
inference(resolution,[status(thm)],[f2367,f388]) ).
fof(f2460,plain,
! [X0,X1,X2] :
( ~ k3(X2,X2,X1)
| q4(X1,X0)
| ~ k0(X0) ),
inference(resolution,[status(thm)],[f2456,f1007]) ).
fof(f2474,plain,
! [X0,X1] :
( q4(X1,X0)
| ~ k0(X0) ),
inference(resolution,[status(thm)],[f2460,f1010]) ).
fof(f2477,plain,
~ k0(e),
inference(resolution,[status(thm)],[f2474,f924]) ).
fof(f2478,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2477,f397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN180-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:45:55 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.45 % Elapsed time: 0.077365 seconds
% 0.14/0.45 % CPU time: 0.188545 seconds
% 0.14/0.45 % Total memory used: 21.814 MB
% 0.14/0.45 % Net memory used: 21.575 MB
%------------------------------------------------------------------------------