%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP715-10 : TPTP v9.0.0. Released v8.1.0.
% 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 : n016.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 06:27:04 PM UTC 2025
% Result : Unsatisfiable 32.21s 18.37s
% Output : CNFRefutation 32.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 30 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 : 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ plus > mult > #nlpp > minus > x0 > unit > op_b > op_a > op_0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(op_a,type,
op_a: $i ).
tff(op_0,type,
op_0: $i ).
tff(op_b,type,
op_b: $i ).
tff(plus,type,
plus: ( $i * $i ) > $i ).
tff(minus,type,
minus: $i > $i ).
tff(unit,type,
unit: $i ).
tff(mult,type,
mult: ( $i * $i ) > $i ).
tff(x0,type,
x0: $i ).
tff(f_39,axiom,
! [A] : ( mult(A,unit) = A ),
file(unknown,unknown) ).
tff(f_42,axiom,
mult(op_a,op_b) = unit,
file(unknown,unknown) ).
tff(f_41,axiom,
! [A] : ( mult(unit,A) = A ),
file(unknown,unknown) ).
tff(f_43,axiom,
mult(op_b,op_a) = unit,
file(unknown,unknown) ).
tff(f_37,axiom,
! [A,B] : ( mult(A,mult(B,B)) = mult(mult(A,B),B) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [A,B,C] : ( mult(mult(mult(A,B),C),B) = mult(A,mult(mult(B,C),B)) ),
file(unknown,unknown) ).
tff(f_45,axiom,
mult(mult(x0,op_a),op_b) != x0,
file(unknown,unknown) ).
tff(c_16,plain,
! [A_16] : ( mult(A_16,unit) = A_16 ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_20,plain,
mult(op_a,op_b) = unit,
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_18,plain,
! [A_17] : ( mult(unit,A_17) = A_17 ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_22,plain,
mult(op_b,op_a) = unit,
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_181,plain,
! [A_25,B_26] : ( mult(mult(A_25,B_26),B_26) = mult(A_25,mult(B_26,B_26)) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_213,plain,
mult(op_b,mult(op_a,op_a)) = mult(unit,op_a),
inference(superposition,[status(thm),theory(equality)],[c_22,c_181]) ).
tff(c_221,plain,
mult(op_b,mult(op_a,op_a)) = op_a,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_213]) ).
tff(c_14,plain,
! [A_14,B_15] : ( mult(mult(A_14,B_15),B_15) = mult(A_14,mult(B_15,B_15)) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_672,plain,
! [A_41,B_42,C_43] : ( mult(mult(mult(A_41,B_42),C_43),B_42) = mult(A_41,mult(mult(B_42,C_43),B_42)) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_15569,plain,
! [A_157,B_158,C_159] : ( mult(mult(A_157,mult(mult(B_158,C_159),B_158)),B_158) = mult(mult(mult(A_157,B_158),C_159),mult(B_158,B_158)) ),
inference(superposition,[status(thm),theory(equality)],[c_672,c_14]) ).
tff(c_15830,plain,
! [A_157] : ( mult(mult(mult(A_157,op_a),op_b),mult(op_a,op_a)) = mult(mult(A_157,mult(unit,op_a)),op_a) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_15569]) ).
tff(c_50997,plain,
! [A_281] : ( mult(mult(mult(A_281,op_a),op_b),mult(op_a,op_a)) = mult(A_281,mult(op_a,op_a)) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_18,c_15830]) ).
tff(c_12,plain,
! [A_11,B_12,C_13] : ( mult(mult(mult(A_11,B_12),C_13),B_12) = mult(A_11,mult(mult(B_12,C_13),B_12)) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_51113,plain,
! [A_281] : ( mult(mult(A_281,op_a),mult(mult(op_b,mult(op_a,op_a)),op_b)) = mult(mult(A_281,mult(op_a,op_a)),op_b) ),
inference(superposition,[status(thm),theory(equality)],[c_50997,c_12]) ).
tff(c_51220,plain,
! [A_282] : ( mult(mult(A_282,mult(op_a,op_a)),op_b) = mult(A_282,op_a) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_20,c_221,c_51113]) ).
tff(c_51349,plain,
! [A_11] : ( mult(A_11,mult(mult(op_b,mult(op_a,op_a)),op_b)) = mult(mult(A_11,op_b),op_a) ),
inference(superposition,[status(thm),theory(equality)],[c_51220,c_12]) ).
tff(c_51446,plain,
! [A_11] : ( mult(mult(A_11,op_b),op_a) = A_11 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_20,c_221,c_51349]) ).
tff(c_51463,plain,
! [A_283] : ( mult(mult(A_283,op_b),op_a) = A_283 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_20,c_221,c_51349]) ).
tff(c_51690,plain,
! [A_284] : ( mult(mult(A_284,op_b),mult(op_a,op_a)) = mult(A_284,op_a) ),
inference(superposition,[status(thm),theory(equality)],[c_51463,c_14]) ).
tff(c_51205,plain,
! [A_281] : ( mult(mult(A_281,mult(op_a,op_a)),op_b) = mult(A_281,op_a) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_20,c_221,c_51113]) ).
tff(c_51696,plain,
! [A_284] : ( mult(mult(A_284,op_b),op_a) = mult(mult(A_284,op_a),op_b) ),
inference(superposition,[status(thm),theory(equality)],[c_51690,c_51205]) ).
tff(c_51902,plain,
! [A_284] : ( mult(mult(A_284,op_a),op_b) = A_284 ),
inference(demodulation,[status(thm),theory(equality)],[c_51446,c_51696]) ).
tff(c_24,plain,
mult(mult(x0,op_a),op_b) != x0,
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_51947,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_51902,c_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GRP715-10 : TPTP v9.0.0. Released v8.1.0.
% 0.08/0.10 % 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
% 0.09/0.30 % Computer : n016.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 7 22:29:38 EDT 2025
% 0.09/0.30 % CPUTime :
% 32.21/18.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.21/18.38
% 32.21/18.38 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------