%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SEU196+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 08:53:09 PM UTC 2025
% Result : Theorem 4.43s 2.13s
% Output : CNFRefutation 4.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 8 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > in > element > relation > empty > relation_dom_restriction > #nlpp > relation_rng > relation_dom > powerset > empty_set > #skF_1 > #skF_7 > #skF_5 > #skF_2 > #skF_9 > #skF_8 > #skF_4 > #skF_3 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(relation,type,
relation: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(empty,type,
empty: $i > $o ).
tff(relation_dom_restriction,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(empty_set,type,
empty_set: $i ).
tff(relation_dom,type,
relation_dom: $i > $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(powerset,type,
powerset: $i > $i ).
tff(relation_rng,type,
relation_rng: $i > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(f_172,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_relat_1) ).
tff(f_159,axiom,
! [A,B] :
( relation(B)
=> subset(relation_dom_restriction(B,A),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t88_relat_1) ).
tff(f_40,axiom,
! [A,B] :
( relation(A)
=> relation(relation_dom_restriction(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
tff(f_123,axiom,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ( subset(A,B)
=> ( subset(relation_dom(A),relation_dom(B))
& subset(relation_rng(A),relation_rng(B)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_relat_1) ).
tff(c_88,plain,
relation('#skF_9'),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_82,plain,
! [B_38,A_37] :
( subset(relation_dom_restriction(B_38,A_37),B_38)
| ~ relation(B_38) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_14,plain,
! [A_4,B_5] :
( relation(relation_dom_restriction(A_4,B_5))
| ~ relation(A_4) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_548,plain,
! [A_111,B_112] :
( subset(relation_rng(A_111),relation_rng(B_112))
| ~ subset(A_111,B_112)
| ~ relation(B_112)
| ~ relation(A_111) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_86,plain,
~ subset(relation_rng(relation_dom_restriction('#skF_9','#skF_8')),relation_rng('#skF_9')),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_551,plain,
( ~ subset(relation_dom_restriction('#skF_9','#skF_8'),'#skF_9')
| ~ relation('#skF_9')
| ~ relation(relation_dom_restriction('#skF_9','#skF_8')) ),
inference(resolution,[status(thm)],[c_548,c_86]) ).
tff(c_572,plain,
( ~ subset(relation_dom_restriction('#skF_9','#skF_8'),'#skF_9')
| ~ relation(relation_dom_restriction('#skF_9','#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_88,c_551]) ).
tff(c_589,plain,
~ relation(relation_dom_restriction('#skF_9','#skF_8')),
inference(splitLeft,[status(thm)],[c_572]) ).
tff(c_592,plain,
~ relation('#skF_9'),
inference(resolution,[status(thm)],[c_14,c_589]) ).
tff(c_599,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_88,c_592]) ).
tff(c_600,plain,
~ subset(relation_dom_restriction('#skF_9','#skF_8'),'#skF_9'),
inference(splitRight,[status(thm)],[c_572]) ).
tff(c_604,plain,
~ relation('#skF_9'),
inference(resolution,[status(thm)],[c_82,c_600]) ).
tff(c_608,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_88,c_604]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU196+1 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 8 22:16:22 EDT 2025
% 0.13/0.35 % CPUTime :
% 4.43/2.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.43/2.13
% 4.43/2.13 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------