%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KLE061+1 : TPTP v9.0.0. Released v4.0.0.
% 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 : 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 07:04:42 PM UTC 2025
% Result : Theorem 5.57s 2.44s
% Output : CNFRefutation 5.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 21 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 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ leq > multiplication > addition > #nlpp > domain > zero > one > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(domain,type,
domain: $i > $i ).
tff(multiplication,type,
multiplication: ( $i * $i ) > $i ).
tff(addition,type,
addition: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(one,type,
one: $i ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff(zero,type,
zero: $i ).
tff(f_65,axiom,
! [A] : ( multiplication(one,A) = A ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
tff(f_115,axiom,
! [X0,X1] : ( domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain2) ).
tff(f_52,axiom,
! [A,B] : ( addition(A,B) = addition(B,A) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
tff(f_117,axiom,
! [X0] : ( addition(domain(X0),one) = one ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain3) ).
tff(f_70,axiom,
! [A,B,C] : ( multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
tff(f_113,axiom,
! [X0] : ( addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain1) ).
tff(f_125,negated_conjecture,
~ ! [X0] : ( multiplication(domain(X0),domain(X0)) = domain(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tff(c_14,plain,
! [A_12] : ( multiplication(one,A_12) = A_12 ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_299,plain,
! [X0_44,X1_45] : ( domain(multiplication(X0_44,domain(X1_45))) = domain(multiplication(X0_44,X1_45)) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_319,plain,
! [X1_45] : ( domain(multiplication(one,X1_45)) = domain(domain(X1_45)) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_299]) ).
tff(c_333,plain,
! [X1_45] : ( domain(domain(X1_45)) = domain(X1_45) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_319]) ).
tff(c_154,plain,
! [B_36,A_37] : ( addition(B_36,A_37) = addition(A_37,B_36) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_32,plain,
! [X0_26] : ( addition(domain(X0_26),one) = one ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_178,plain,
! [X0_26] : ( addition(one,domain(X0_26)) = one ),
inference(superposition,[status(thm),theory(equality)],[c_154,c_32]) ).
tff(c_1444,plain,
! [A_71,C_72,B_73] : ( addition(multiplication(A_71,C_72),multiplication(B_73,C_72)) = multiplication(addition(A_71,B_73),C_72) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_4220,plain,
! [B_106,A_107] : ( multiplication(addition(one,B_106),A_107) = addition(A_107,multiplication(B_106,A_107)) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_1444]) ).
tff(c_28,plain,
! [X0_23] : ( addition(X0_23,multiplication(domain(X0_23),X0_23)) = multiplication(domain(X0_23),X0_23) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_4279,plain,
! [A_107] : ( multiplication(addition(one,domain(A_107)),A_107) = multiplication(domain(A_107),A_107) ),
inference(superposition,[status(thm),theory(equality)],[c_4220,c_28]) ).
tff(c_4422,plain,
! [A_108] : ( multiplication(domain(A_108),A_108) = A_108 ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_178,c_4279]) ).
tff(c_4525,plain,
! [X1_45] : ( multiplication(domain(X1_45),domain(X1_45)) = domain(X1_45) ),
inference(superposition,[status(thm),theory(equality)],[c_333,c_4422]) ).
tff(c_38,plain,
multiplication(domain('#skF_1'),domain('#skF_1')) != domain('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_4908,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4525,c_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KLE061+1 : TPTP v9.0.0. Released v4.0.0.
% 0.04/0.13 % 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
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 8 02:35:02 EDT 2025
% 0.13/0.34 % CPUTime :
% 5.57/2.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.57/2.45
% 5.57/2.45 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------