%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ALG236-1 : 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 : n026.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 05:24:53 PM UTC 2025
% Result : Unsatisfiable 104.25s 75.86s
% Output : CNFRefutation 104.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 42 ( 42 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 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; 5 con; 0-2 aty)
% Number of variables : 137 ( 137 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ mult > #nlpp > e > d > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(b,type,
b: $i ).
tff(d,type,
d: $i ).
tff(e,type,
e: $i ).
tff(mult,type,
mult: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_25,axiom,
! [A,B] : ( mult(A,mult(B,mult(A,B))) = mult(A,B) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [A,B,C,D] : ( mult(A,mult(B,mult(C,D))) = mult(C,mult(B,mult(A,D))) ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [A,B,C,D] : ( mult(mult(A,mult(B,mult(C,B))),D) = mult(A,mult(D,mult(mult(C,B),D))) ),
file(unknown,unknown) ).
tff(f_31,axiom,
mult(mult(a,b),mult(c,mult(d,e))) != mult(a,mult(c,mult(mult(d,b),e))),
file(unknown,unknown) ).
tff(c_2,plain,
! [A_1,B_2] : ( mult(A_1,mult(B_2,mult(A_1,B_2))) = mult(A_1,B_2) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_27,plain,
! [C_13,B_14,A_15,D_16] : ( mult(C_13,mult(B_14,mult(A_15,D_16))) = mult(A_15,mult(B_14,mult(C_13,D_16))) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_4,plain,
! [C_5,B_4,A_3,D_6] : ( mult(C_5,mult(B_4,mult(A_3,D_6))) = mult(A_3,mult(B_4,mult(C_5,D_6))) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_11597,plain,
! [C_99,B_98,B_102,C_101,D_97,A_100] : ( mult(C_101,mult(B_102,mult(C_99,mult(B_98,mult(A_100,D_97))))) = mult(A_100,mult(B_102,mult(C_101,mult(B_98,mult(C_99,D_97))))) ),
inference(superposition,[status(thm),theory(equality)],[c_27,c_4]) ).
tff(c_13517,plain,
! [A_1,B_102,B_2,A_100] : ( mult(A_1,mult(B_102,mult(A_1,mult(B_2,mult(A_100,B_2))))) = mult(A_100,mult(B_102,mult(A_1,B_2))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_11597]) ).
tff(c_334,plain,
! [A_22,B_23,C_24,D_25] : ( mult(mult(A_22,mult(B_23,mult(C_24,B_23))),D_25) = mult(A_22,mult(D_25,mult(mult(C_24,B_23),D_25))) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_437,plain,
! [C_24,B_23,D_25,A_22] : ( mult(mult(C_24,B_23),mult(D_25,mult(A_22,D_25))) = mult(mult(A_22,mult(B_23,mult(C_24,B_23))),D_25) ),
inference(superposition,[status(thm),theory(equality)],[c_334,c_4]) ).
tff(c_6376,plain,
! [A_74,D_75,C_76,D_77] : ( mult(mult(A_74,mult(D_75,mult(C_76,D_75))),D_77) = mult(C_76,mult(D_77,mult(mult(A_74,D_75),D_77))) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_334]) ).
tff(c_7062,plain,
! [C_24,B_23,D_25,A_22] : ( mult(mult(C_24,B_23),mult(D_25,mult(A_22,D_25))) = mult(C_24,mult(D_25,mult(mult(A_22,B_23),D_25))) ),
inference(superposition,[status(thm),theory(equality)],[c_437,c_6376]) ).
tff(c_30,plain,
! [A_15,B_14,C_5,B_4,D_16,C_13] : ( mult(C_5,mult(B_4,mult(C_13,mult(B_14,mult(A_15,D_16))))) = mult(A_15,mult(B_4,mult(C_5,mult(B_14,mult(C_13,D_16))))) ),
inference(superposition,[status(thm),theory(equality)],[c_27,c_4]) ).
tff(c_985,plain,
! [A_30,D_31,B_32] : ( mult(A_30,mult(D_31,mult(mult(A_30,B_32),D_31))) = mult(mult(A_30,B_32),D_31) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_334]) ).
tff(c_119,plain,
! [B_2,A_1,C_13] : ( mult(B_2,mult(A_1,mult(C_13,mult(A_1,B_2)))) = mult(C_13,mult(A_1,B_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_27]) ).
tff(c_222,plain,
! [B_19,A_20,C_21] : ( mult(B_19,mult(A_20,mult(C_21,mult(A_20,B_19)))) = mult(C_21,mult(A_20,B_19)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_27]) ).
tff(c_272,plain,
! [A_1,C_13] : ( mult(mult(A_1,C_13),mult(C_13,mult(A_1,C_13))) = mult(A_1,mult(C_13,mult(A_1,C_13))) ),
inference(superposition,[status(thm),theory(equality)],[c_119,c_222]) ).
tff(c_667,plain,
! [A_26,C_27] : ( mult(mult(A_26,C_27),mult(C_27,mult(A_26,C_27))) = mult(A_26,C_27) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_272]) ).
tff(c_726,plain,
! [A_26,C_27] : ( mult(A_26,mult(C_27,mult(mult(A_26,C_27),C_27))) = mult(A_26,C_27) ),
inference(superposition,[status(thm),theory(equality)],[c_667,c_4]) ).
tff(c_1002,plain,
! [A_30,B_32] : ( mult(mult(A_30,B_32),B_32) = mult(A_30,B_32) ),
inference(superposition,[status(thm),theory(equality)],[c_985,c_726]) ).
tff(c_607,plain,
! [A_1,D_25,B_2] : ( mult(A_1,mult(D_25,mult(mult(A_1,B_2),D_25))) = mult(mult(A_1,B_2),D_25) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_334]) ).
tff(c_3235,plain,
! [C_54,B_55,D_56,A_57] : ( mult(mult(C_54,B_55),mult(D_56,mult(A_57,D_56))) = mult(mult(A_57,mult(B_55,mult(C_54,B_55))),D_56) ),
inference(superposition,[status(thm),theory(equality)],[c_334,c_4]) ).
tff(c_3956,plain,
! [A_58,B_59,D_60] : ( mult(mult(A_58,B_59),mult(D_60,mult(A_58,D_60))) = mult(mult(A_58,B_59),D_60) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_3235]) ).
tff(c_4072,plain,
! [A_58,D_60,B_59] : ( mult(A_58,mult(mult(D_60,mult(A_58,D_60)),mult(mult(A_58,B_59),D_60))) = mult(mult(A_58,B_59),mult(D_60,mult(A_58,D_60))) ),
inference(superposition,[status(thm),theory(equality)],[c_3956,c_607]) ).
tff(c_55913,plain,
! [A_198,D_199,B_200] : ( mult(A_198,mult(mult(D_199,mult(A_198,D_199)),mult(mult(A_198,B_200),D_199))) = mult(mult(A_198,B_200),D_199) ),
inference(demodulation,[status(thm),theory(equality)],[c_607,c_4,c_4072]) ).
tff(c_56205,plain,
! [B_200,D_199,A_198,C_5,B_4] : ( mult(mult(A_198,B_200),mult(B_4,mult(C_5,mult(mult(D_199,mult(A_198,D_199)),mult(A_198,D_199))))) = mult(C_5,mult(B_4,mult(mult(A_198,B_200),D_199))) ),
inference(superposition,[status(thm),theory(equality)],[c_55913,c_30]) ).
tff(c_57358,plain,
! [B_200,D_199,A_198,C_5,B_4] : ( mult(mult(C_5,B_200),mult(B_4,mult(A_198,D_199))) = mult(C_5,mult(B_4,mult(mult(A_198,B_200),D_199))) ),
inference(demodulation,[status(thm),theory(equality)],[c_13517,c_7062,c_30,c_1002,c_56205]) ).
tff(c_4124,plain,
! [A_58,D_60,B_59] : ( mult(mult(A_58,D_60),mult(D_60,mult(mult(A_58,B_59),D_60))) = mult(mult(A_58,B_59),mult(D_60,mult(A_58,D_60))) ),
inference(superposition,[status(thm),theory(equality)],[c_3956,c_119]) ).
tff(c_4417,plain,
! [A_61,D_62,B_63] : ( mult(mult(A_61,D_62),mult(D_62,mult(mult(A_61,B_63),D_62))) = mult(mult(A_61,B_63),D_62) ),
inference(demodulation,[status(thm),theory(equality)],[c_607,c_4,c_4124]) ).
tff(c_6,plain,
! [A_7,B_8,C_9,D_10] : ( mult(mult(A_7,mult(B_8,mult(C_9,B_8))),D_10) = mult(A_7,mult(D_10,mult(mult(C_9,B_8),D_10))) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_4535,plain,
! [A_61,D_62,B_63] : ( mult(mult(mult(A_61,D_62),mult(B_63,mult(A_61,B_63))),D_62) = mult(mult(A_61,B_63),D_62) ),
inference(superposition,[status(thm),theory(equality)],[c_4417,c_6]) ).
tff(c_4836,plain,
! [A_61,D_62,B_63] : ( mult(mult(mult(A_61,D_62),B_63),D_62) = mult(mult(A_61,B_63),D_62) ),
inference(demodulation,[status(thm),theory(equality)],[c_607,c_4,c_4535]) ).
tff(c_325,plain,
! [A_1,C_13] : ( mult(mult(A_1,C_13),mult(C_13,mult(A_1,C_13))) = mult(A_1,C_13) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_272]) ).
tff(c_16202,plain,
! [A_111,B_112,B_113,A_114] : ( mult(A_111,mult(B_112,mult(A_111,mult(B_113,mult(A_114,B_113))))) = mult(A_114,mult(B_112,mult(A_111,B_113))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_11597]) ).
tff(c_16944,plain,
! [C_13,B_112,A_111,A_1] : ( mult(C_13,mult(B_112,mult(A_111,mult(A_1,C_13)))) = mult(A_111,mult(B_112,mult(A_111,mult(A_1,C_13)))) ),
inference(superposition,[status(thm),theory(equality)],[c_325,c_16202]) ).
tff(c_130104,plain,
! [B_296,C_293,B_297,D_294,C_295,A_292] : ( mult(C_295,mult(B_297,mult(mult(A_292,mult(B_296,mult(C_293,B_296))),D_294))) = mult(A_292,mult(B_297,mult(C_295,mult(D_294,mult(mult(C_293,B_296),D_294))))) ),
inference(superposition,[status(thm),theory(equality)],[c_334,c_4]) ).
tff(c_134444,plain,
! [B_296,C_293,A_111,A_1,B_112] : ( mult(A_111,mult(B_112,mult(mult(mult(mult(C_293,B_296),A_1),mult(B_296,mult(C_293,B_296))),A_1))) = mult(A_111,mult(B_112,mult(A_111,mult(A_1,mult(mult(C_293,B_296),A_1))))) ),
inference(superposition,[status(thm),theory(equality)],[c_16944,c_130104]) ).
tff(c_137349,plain,
! [B_296,C_293,A_111,A_1,B_112] : ( mult(C_293,mult(B_112,mult(mult(A_111,B_296),A_1))) = mult(A_111,mult(B_112,mult(mult(C_293,B_296),A_1))) ),
inference(demodulation,[status(thm),theory(equality)],[c_57358,c_13517,c_4836,c_607,c_4836,c_4,c_134444]) ).
tff(c_8,plain,
mult(mult(a,b),mult(c,mult(d,e))) != mult(a,mult(c,mult(mult(d,b),e))),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_9,plain,
mult(d,mult(c,mult(mult(a,b),e))) != mult(a,mult(c,mult(mult(d,b),e))),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_8]) ).
tff(c_137777,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_137349,c_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG236-1 : TPTP v9.0.0. Released v4.0.0.
% 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 : n026.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 : Sun Apr 6 07:31:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 104.25/75.86 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 104.25/75.87
% 104.25/75.87 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------