%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU150+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 02:19:24 PM UTC 2026
% Result : Theorem 0.04s 10.34s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 4 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 25 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : unordered_pair(A,B) = unordered_pair(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] :
( singleton(A) = unordered_pair(B,C)
=> A = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,conjecture,
! [A,B,C] :
( singleton(A) = unordered_pair(B,C)
=> B = C ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ ! [A,B,C] :
( singleton(A) = unordered_pair(B,C)
=> B = C ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
! [A,B,C] :
( A = B
| singleton(A) != unordered_pair(B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
! [A,B] :
( A = B
| ! [C] : singleton(A) != unordered_pair(B,C) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f14,plain,
! [X0,X1,X2] :
( X0 = X1
| singleton(X0) != unordered_pair(X1,X2) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
? [A,B,C] :
( B != C
& singleton(A) = unordered_pair(B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
? [B,C] :
( B != C
& ? [A] : singleton(A) = unordered_pair(B,C) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f17,plain,
( sK2_skl != sK3_skl
& singleton(sK4_skl) = unordered_pair(sK2_skl,sK3_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl),skolemize(A,sK4_skl)],[f16]) ).
fof(f18,plain,
singleton(sK4_skl) = unordered_pair(sK2_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
sK2_skl != sK3_skl,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f24,plain,
! [X0,X1,X2] :
( X0 = X2
| singleton(X0) != unordered_pair(X1,X2) ),
inference(paramodulation,[status(thm)],[f7,f14]) ).
fof(f28,plain,
sK4_skl = sK3_skl,
inference(resolution,[status(thm)],[f18,f24]) ).
fof(f29,plain,
sK4_skl = sK2_skl,
inference(resolution,[status(thm)],[f18,f14]) ).
fof(f33,plain,
sK2_skl = sK3_skl,
inference(backward_demodulation,[status(thm)],[f29,f28]) ).
fof(f34,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f33,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU150+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/10.31 % Computer : n012.cluster.edu
% 0.04/10.31 % Model : x86_64 x86_64
% 0.04/10.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.31 % Memory : 8046.5625MB
% 0.04/10.31 % OS : Linux 6.8.0-71-generic
% 0.04/10.31 % CPULimit : 300
% 0.04/10.31 % WCLimit : 300
% 0.04/10.31 % DateTime : Mon Sep 21 05:53:02 UTC 2026
% 0.04/10.31 % CPUTime :
% 0.04/10.32 % Drodi V4.1.1
% 0.04/10.34 % Refutation found
% 0.04/10.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.04/10.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.04/10.35 % Elapsed time: 0.036777 seconds
% 0.04/10.35 % CPU time: 0.092091 seconds
% 0.04/10.35 % Total memory used: 66.240 MB
% 0.04/10.35 % Net memory used: 65.676 MB
%------------------------------------------------------------------------------