%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : RNG128-1 : TPTP v9.0.0. Released v5.4.0.
% 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 08:31:39 PM UTC 2025
% Result : Unsatisfiable 4.63s 2.25s
% Output : CNFRefutation 5.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 49 ( 49 unt; 0 typ; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 74 ( 74 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ mult > add > #nlpp > zero > x1 > x0 > unit
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(add,type,
add: ( $i * $i ) > $i ).
tff(x1,type,
x1: $i ).
tff(unit,type,
unit: $i ).
tff(zero,type,
zero: $i ).
tff(mult,type,
mult: ( $i * $i ) > $i ).
tff(x0,type,
x0: $i ).
tff(f_25,axiom,
! [A,B] : ( add(A,B) = add(B,A) ),
file(unknown,unknown) ).
tff(f_31,axiom,
! [A] : ( add(zero,A) = A ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [A] : ( mult(A,unit) = A ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [A,B,C] : ( mult(A,add(B,C)) = add(mult(A,B),mult(A,C)) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [A] : ( add(unit,add(A,mult(A,A))) = A ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C] : ( add(A,add(B,C)) = add(add(A,B),C) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [A,B] : ( mult(A,B) = mult(B,A) ),
file(unknown,unknown) ).
tff(f_37,axiom,
add(x0,x1) != mult(x0,x1),
file(unknown,unknown) ).
tff(c_35,plain,
! [B_16,A_17] : ( add(B_16,A_17) = add(A_17,B_16) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_10,plain,
! [A_11] : ( add(zero,A_11) = A_11 ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_51,plain,
! [B_16] : ( add(B_16,zero) = B_16 ),
inference(superposition,[status(thm),theory(equality)],[c_35,c_10]) ).
tff(c_12,plain,
! [A_12] : ( mult(A_12,unit) = A_12 ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_344,plain,
! [A_27,B_28,C_29] : ( add(mult(A_27,B_28),mult(A_27,C_29)) = mult(A_27,add(B_28,C_29)) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_169,plain,
! [A_21] : ( add(unit,add(A_21,mult(A_21,A_21))) = A_21 ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_179,plain,
add(unit,mult(zero,zero)) = zero,
inference(superposition,[status(thm),theory(equality)],[c_10,c_169]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( add(add(A_1,B_2),C_3) = add(A_1,add(B_2,C_3)) ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_304,plain,
! [C_3] : ( add(unit,add(mult(zero,zero),C_3)) = add(zero,C_3) ),
inference(superposition,[status(thm),theory(equality)],[c_179,c_2]) ).
tff(c_307,plain,
! [C_3] : ( add(unit,add(mult(zero,zero),C_3)) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_304]) ).
tff(c_351,plain,
! [C_29] : ( add(unit,mult(zero,add(zero,C_29))) = mult(zero,C_29) ),
inference(superposition,[status(thm),theory(equality)],[c_344,c_307]) ).
tff(c_459,plain,
! [C_31] : ( add(unit,mult(zero,C_31)) = mult(zero,C_31) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_351]) ).
tff(c_490,plain,
mult(zero,unit) = add(unit,zero),
inference(superposition,[status(thm),theory(equality)],[c_12,c_459]) ).
tff(c_493,plain,
zero = unit,
inference(demodulation,[status(thm),theory(equality)],[c_51,c_12,c_490]) ).
tff(c_499,plain,
! [A_11] : ( add(unit,A_11) = A_11 ),
inference(demodulation,[status(thm),theory(equality)],[c_493,c_10]) ).
tff(c_390,plain,
! [A_12,C_29] : ( mult(A_12,add(unit,C_29)) = add(A_12,mult(A_12,C_29)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_344]) ).
tff(c_1154,plain,
! [A_12,C_29] : ( add(A_12,mult(A_12,C_29)) = mult(A_12,C_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_499,c_390]) ).
tff(c_1155,plain,
! [A_44,C_45] : ( add(A_44,mult(A_44,C_45)) = mult(A_44,C_45) ),
inference(demodulation,[status(thm),theory(equality)],[c_499,c_390]) ).
tff(c_673,plain,
! [A_35] : ( add(unit,A_35) = A_35 ),
inference(demodulation,[status(thm),theory(equality)],[c_493,c_10]) ).
tff(c_14,plain,
! [A_13] : ( add(unit,add(A_13,mult(A_13,A_13))) = A_13 ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_700,plain,
! [A_13] : ( add(A_13,mult(A_13,A_13)) = A_13 ),
inference(superposition,[status(thm),theory(equality)],[c_673,c_14]) ).
tff(c_1320,plain,
! [C_47] : ( mult(C_47,C_47) = C_47 ),
inference(superposition,[status(thm),theory(equality)],[c_1155,c_700]) ).
tff(c_8,plain,
! [A_8,B_9,C_10] : ( add(mult(A_8,B_9),mult(A_8,C_10)) = mult(A_8,add(B_9,C_10)) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_1329,plain,
! [C_47,C_10] : ( mult(C_47,add(C_47,C_10)) = add(C_47,mult(C_47,C_10)) ),
inference(superposition,[status(thm),theory(equality)],[c_1320,c_8]) ).
tff(c_1354,plain,
! [C_47,C_10] : ( mult(C_47,add(C_47,C_10)) = mult(C_47,C_10) ),
inference(demodulation,[status(thm),theory(equality)],[c_1154,c_1329]) ).
tff(c_1172,plain,
! [C_45] : ( mult(C_45,C_45) = C_45 ),
inference(superposition,[status(thm),theory(equality)],[c_1155,c_700]) ).
tff(c_6,plain,
! [B_7,A_6] : ( mult(B_7,A_6) = mult(A_6,B_7) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_1219,plain,
! [A_12] : ( mult(A_12,unit) = add(A_12,A_12) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_1155]) ).
tff(c_1227,plain,
! [A_46] : ( add(A_46,A_46) = A_46 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_1219]) ).
tff(c_1454,plain,
! [A_50,C_51] : ( add(A_50,add(A_50,C_51)) = add(A_50,C_51) ),
inference(superposition,[status(thm),theory(equality)],[c_1227,c_2]) ).
tff(c_234,plain,
! [A_23,B_24,C_25] : ( add(add(A_23,B_24),C_25) = add(A_23,add(B_24,C_25)) ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_4,plain,
! [B_5,A_4] : ( add(B_5,A_4) = add(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_254,plain,
! [C_25,A_23,B_24] : ( add(C_25,add(A_23,B_24)) = add(A_23,add(B_24,C_25)) ),
inference(superposition,[status(thm),theory(equality)],[c_234,c_4]) ).
tff(c_679,plain,
! [A_35,C_25] : ( add(unit,add(A_35,C_25)) = add(C_25,A_35) ),
inference(superposition,[status(thm),theory(equality)],[c_673,c_254]) ).
tff(c_1463,plain,
! [A_50,C_51] : ( add(add(A_50,C_51),A_50) = add(unit,add(A_50,C_51)) ),
inference(superposition,[status(thm),theory(equality)],[c_1454,c_679]) ).
tff(c_1569,plain,
! [A_50,C_51] : ( add(add(A_50,C_51),A_50) = add(A_50,C_51) ),
inference(demodulation,[status(thm),theory(equality)],[c_499,c_1463]) ).
tff(c_2547,plain,
! [C_64,C_65] : ( mult(C_64,add(C_64,C_65)) = mult(C_64,C_65) ),
inference(demodulation,[status(thm),theory(equality)],[c_1154,c_1329]) ).
tff(c_2581,plain,
! [A_50,C_51] : ( mult(add(A_50,C_51),add(A_50,C_51)) = mult(add(A_50,C_51),A_50) ),
inference(superposition,[status(thm),theory(equality)],[c_1569,c_2547]) ).
tff(c_2650,plain,
! [A_50,C_51] : ( mult(A_50,C_51) = add(A_50,C_51) ),
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_1172,c_6,c_2581]) ).
tff(c_16,plain,
mult(x0,x1) != add(x0,x1),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_2674,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2650,c_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG128-1 : TPTP v9.0.0. Released v5.4.0.
% 0.07/0.14 % 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
% 0.13/0.35 % Computer : n005.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 18:56:12 EDT 2025
% 0.13/0.35 % CPUTime :
% 4.63/2.25 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.63/2.26
% 4.63/2.26 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------