%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR055-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 12:13:13 PM UTC 2026
% Result : Unsatisfiable 27.64s 5.88s
% Output : CNFRefutation 27.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-4 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq4(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C] : ifeq2(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7906,axiom,
individual(c_xskijump_thegame) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41248,axiom,
! [INS,ARG2] : ifeq4(disjointwith(INS,ARG2),true,collection(INS),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44036,negated_conjecture,
disjointwith(c_xskijump_thegame,c_tptpcol_16_35301) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44039,axiom,
! [OBJ] : ifeq2(tuple2(individual(OBJ),collection(OBJ)),tuple2(true,true),a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44219,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44220,plain,
! [X0,X1,X2] : ifeq4(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44222,plain,
! [X0,X1,X2] : ifeq2(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f52125,plain,
individual(c_xskijump_thegame) = true,
inference(cnf_transformation,[status(thm)],[f7906]) ).
fof(f85467,plain,
! [X0,X1] : ifeq4(disjointwith(X0,X1),true,collection(X0),true) = true,
inference(cnf_transformation,[status(thm)],[f41248]) ).
fof(f88255,plain,
disjointwith(c_xskijump_thegame,c_tptpcol_16_35301) = true,
inference(cnf_transformation,[status(thm)],[f44036]) ).
fof(f88258,plain,
! [X0] : ifeq2(tuple2(individual(X0),collection(X0)),tuple2(true,true),a,b) = b,
inference(cnf_transformation,[status(thm)],[f44039]) ).
fof(f88438,plain,
a != b,
inference(cnf_transformation,[status(thm)],[f44219]) ).
fof(f88459,plain,
ifeq4(true,true,collection(c_xskijump_thegame),true) = true,
inference(paramodulation,[status(thm)],[f88255,f85467]) ).
fof(f88518,plain,
collection(c_xskijump_thegame) = true,
inference(backward_demodulation,[status(thm)],[f44220,f88459]) ).
fof(f91475,plain,
ifeq2(tuple2(true,collection(c_xskijump_thegame)),tuple2(true,true),a,b) = b,
inference(paramodulation,[status(thm)],[f52125,f88258]) ).
fof(f91492,plain,
ifeq2(tuple2(true,true),tuple2(true,true),a,b) = b,
inference(forward_demodulation,[status(thm)],[f88518,f91475]) ).
fof(f91493,plain,
a = b,
inference(forward_demodulation,[status(thm)],[f44222,f91492]) ).
fof(f91494,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f91493,f88438]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR055-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 % Computer : n015.cluster.edu
% 0.21/0.48 % Model : x86_64 x86_64
% 0.21/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.48 % Memory : 8046.5625MB
% 0.21/0.48 % OS : Linux 6.8.0-71-generic
% 0.21/0.48 % CPULimit : 300
% 0.21/0.48 % WCLimit : 300
% 0.21/0.48 % DateTime : Mon Sep 21 14:40:52 UTC 2026
% 0.21/0.49 % CPUTime :
% 2.09/2.46 % Drodi V4.1.1
% 27.64/5.88 % Refutation found
% 27.64/5.88 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 27.64/5.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.65/6.31 % Elapsed time: 5.770540 seconds
% 2.65/6.31 % CPU time: 28.411305 seconds
% 2.65/6.31 % Total memory used: 2.083 GB
% 2.65/6.31 % Net memory used: 2.078 GB
%------------------------------------------------------------------------------