%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP680-1 : 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/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 : n005.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 06:26:57 PM UTC 2025
% Result : Unsatisfiable 4.84s 2.25s
% Output : CNFRefutation 4.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rd > mult > ld > #nlpp > i > unit > op_c > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(ld,type,
ld: ( $i * $i ) > $i ).
tff(rd,type,
rd: ( $i * $i ) > $i ).
tff(a,type,
a: $i ).
tff(i,type,
i: $i > $i ).
tff(op_c,type,
op_c: $i ).
tff(unit,type,
unit: $i ).
tff(mult,type,
mult: ( $i * $i ) > $i ).
tff(f_26,axiom,
! [A,B] : ( mult(A,ld(A,B)) = B ),
file(unknown,unknown) ).
tff(f_40,axiom,
! [A,B] : ( mult(i(A),mult(A,B)) = B ),
file(unknown,unknown) ).
tff(f_34,axiom,
! [A] : ( mult(A,unit) = A ),
file(unknown,unknown) ).
tff(f_42,axiom,
! [A] : ( mult(op_c,A) = mult(A,op_c) ),
file(unknown,unknown) ).
tff(f_38,axiom,
! [A,B,C] : ( mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C) ),
file(unknown,unknown) ).
tff(f_44,axiom,
mult(i(op_c),a) != mult(a,i(op_c)),
file(unknown,unknown) ).
tff(c_2,plain,
! [A_1,B_2] : ( mult(A_1,ld(A_1,B_2)) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_324,plain,
! [A_35,B_36] : ( mult(i(A_35),mult(A_35,B_36)) = B_36 ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_354,plain,
! [A_1,B_2] : ( mult(i(A_1),B_2) = ld(A_1,B_2) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_324]) ).
tff(c_10,plain,
! [A_9] : ( mult(A_9,unit) = A_9 ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_360,plain,
! [A_9] : ( mult(i(A_9),A_9) = unit ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_324]) ).
tff(c_18,plain,
! [A_16] : ( mult(op_c,A_16) = mult(A_16,op_c) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_486,plain,
! [A_40,B_41,C_42] : ( mult(mult(A_40,mult(B_41,A_40)),C_42) = mult(A_40,mult(B_41,mult(A_40,C_42))) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_3432,plain,
! [A_92,B_93] : ( mult(op_c,mult(A_92,mult(B_93,A_92))) = mult(A_92,mult(B_93,mult(A_92,op_c))) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_486]) ).
tff(c_3609,plain,
! [B_93] : ( mult(op_c,mult(i(op_c),mult(B_93,i(op_c)))) = mult(i(op_c),mult(B_93,unit)) ),
inference(superposition,[status(thm),theory(equality)],[c_360,c_3432]) ).
tff(c_3685,plain,
! [B_93] : ( mult(B_93,i(op_c)) = ld(op_c,B_93) ),
inference(demodulation,[status(thm),theory(equality)],[c_354,c_2,c_354,c_10,c_3609]) ).
tff(c_20,plain,
mult(i(op_c),a) != mult(a,i(op_c)),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_1587,plain,
mult(a,i(op_c)) != ld(op_c,a),
inference(demodulation,[status(thm),theory(equality)],[c_354,c_20]) ).
tff(c_3696,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3685,c_1587]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP680-1 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.13 % 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
% 0.13/0.34 % Computer : n005.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 : Mon Apr 7 22:25:12 EDT 2025
% 0.13/0.35 % CPUTime :
% 4.84/2.25 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.84/2.26
% 4.84/2.26 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------