%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ARI684_1 : TPTP v9.0.0. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n018.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 05:40:50 PM UTC 2025
% Result : Theorem 3.27s 1.90s
% Output : CNFRefutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 58 ( 0 atm; 45 fun; 0 num; 13 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp
%Foreground sorts:
%Background operators:
tff(c,type,
c: $int ).
tff(b,type,
b: $int ).
tff(a,type,
a: $int ).
%Foreground operators:
tff(f_62,axiom,
! [A: $int,B: $int,C: $int] : ( $product(A,$sum(B,C)) = $sum($product(A,B),$product(A,C)) ),
file('/export/starexec/sandbox/solver/bin/lemmas/mult_lemmas.p',mult_dist) ).
tff(f_60,axiom,
! [A: $int,B: $int] : ( $product(A,B) = $product(B,A) ),
file('/export/starexec/sandbox/solver/bin/lemmas/mult_lemmas.p',mult_comm) ).
tff(f_31,negated_conjecture,
$product($product(a,$sum(a,b)),c) != $sum($product($product(a,a),c),$product($product(a,b),c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
tff(c_10,plain,
! [A_9: $int,C_11: $int,B_10: $int] : ( $product(A_9,$sum(C_11,B_10)) = $sum($product(A_9,B_10),$product(A_9,C_11)) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_45,plain,
! [A_12: $int,B_13: $int,C_14: $int] : ( $product(A_12,$sum(B_13,C_14)) = $sum($product(A_12,B_13),$product(A_12,C_14)) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_10]) ).
tff(c_39,plain,
! [B_7: $int,A_8: $int] : ( $product(B_7,A_8) = $product(A_8,B_7) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_29,plain,
$product($product(a,$sum(b,a)),c) != $sum($product($product(a,a),c),$product($product(a,b),c)),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_49,plain,
$sum($product(c,$product(a,b)),$product(c,$product(a,a))) != $sum($product(c,$product(a,a)),$product(c,$product(a,b))),
inference(demodulation,[status(thm),theory(equality)],[c_45,c_45,c_39,c_39,c_39,c_29]) ).
tff(c_51,plain,
$false,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI684_1 : TPTP v9.0.0. Released v6.3.0.
% 0.07/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 7 15:16:32 EDT 2025
% 0.14/0.34 % CPUTime :
% 3.27/1.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.27/1.91
% 3.27/1.91 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------