%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP130-4.003 : TPTP v9.0.0. Bugfixed v1.2.1.
% 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 : n029.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 06:25:16 PM UTC 2025
% Result : Unsatisfiable 8.55s 3.02s
% Output : CNFRefutation 8.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of formulae : 118 ( 53 unt; 0 typ; 0 def)
% Number of atoms : 260 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 239 ( 97 ~; 142 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 92 ( 92 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > equalish > group_element > #nlpp > e_3 > e_2 > e_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(group_element,type,
group_element: $i > $o ).
tff(e_2,type,
e_2: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(e_3,type,
e_3: $i ).
tff(equalish,type,
equalish: ( $i * $i ) > $o ).
tff(e_1,type,
e_1: $i ).
tff(f_76,axiom,
~ equalish(e_1,e_3),
file(unknown,unknown) ).
tff(f_84,axiom,
~ equalish(e_3,e_2),
file(unknown,unknown) ).
tff(f_71,axiom,
group_element(e_2),
file(unknown,unknown) ).
tff(f_74,axiom,
~ equalish(e_1,e_2),
file(unknown,unknown) ).
tff(f_80,axiom,
~ equalish(e_2,e_3),
file(unknown,unknown) ).
tff(f_70,axiom,
group_element(e_1),
file(unknown,unknown) ).
tff(f_72,axiom,
group_element(e_3),
file(unknown,unknown) ).
tff(f_41,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(e_1,X,Y)
| product(e_2,X,Y)
| product(e_3,X,Y) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(X,e_1,Y)
| product(X,e_2,Y)
| product(X,e_3,Y) ),
file(unknown,unknown) ).
tff(f_61,axiom,
! [X,Y,Z1,Z2] :
( product(X,Y,Z1)
| ~ product(Z2,Y,X)
| ~ product(X,Z1,Z2) ),
file(unknown,unknown) ).
tff(f_112,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_69,axiom,
! [X,Z1,Z2,Y] :
( product(X,Z1,Z2)
| ~ product(Z2,Y,X)
| ~ product(X,Y,Z1) ),
file(unknown,unknown) ).
tff(f_104,axiom,
! [X,Y,W,Z] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_128,axiom,
! [X,Y,Z1,Z2] :
( ~ product(X,Y,Z1)
| ~ product(X,Z1,Z2)
| product(Z2,Y,X) ),
file(unknown,unknown) ).
tff(f_82,axiom,
~ equalish(e_3,e_1),
file(unknown,unknown) ).
tff(f_96,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(X,Y,e_1)
| product(X,Y,e_2)
| product(X,Y,e_3) ),
file(unknown,unknown) ).
tff(f_120,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(c_18,plain,
~ equalish(e_1,e_3),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_26,plain,
~ equalish(e_3,e_2),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_12,plain,
group_element(e_2),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_16,plain,
~ equalish(e_1,e_2),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_22,plain,
~ equalish(e_2,e_3),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_10,plain,
group_element(e_1),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_14,plain,
group_element(e_3),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_2,plain,
! [X_1,Y_2] :
( product(e_3,X_1,Y_2)
| product(e_2,X_1,Y_2)
| product(e_1,X_1,Y_2)
| ~ group_element(Y_2)
| ~ group_element(X_1) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_4,plain,
! [X_3,Y_4] :
( product(X_3,e_3,Y_4)
| product(X_3,e_2,Y_4)
| product(X_3,e_1,Y_4)
| ~ group_element(Y_4)
| ~ group_element(X_3) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_62,plain,
! [X_57,Y_58] :
( product(X_57,e_3,Y_58)
| product(X_57,e_2,Y_58)
| product(X_57,e_1,Y_58)
| ~ group_element(Y_58)
| ~ group_element(X_57) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_6,plain,
! [X_5,Z1_7,Z2_8,Y_6] :
( ~ product(X_5,Z1_7,Z2_8)
| ~ product(Z2_8,Y_6,X_5)
| product(X_5,Y_6,Z1_7) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_303,plain,
! [Y_100,Y_101,X_102] :
( ~ product(Y_100,Y_101,X_102)
| product(X_102,Y_101,e_3)
| product(X_102,e_2,Y_100)
| product(X_102,e_1,Y_100)
| ~ group_element(Y_100)
| ~ group_element(X_102) ),
inference(resolution,[status(thm)],[c_62,c_6]) ).
tff(c_313,plain,
! [Y_4,X_3] :
( product(Y_4,e_3,e_3)
| product(Y_4,e_2,X_3)
| product(Y_4,e_1,X_3)
| product(X_3,e_2,Y_4)
| product(X_3,e_1,Y_4)
| ~ group_element(Y_4)
| ~ group_element(X_3) ),
inference(resolution,[status(thm)],[c_4,c_303]) ).
tff(c_563,plain,
! [Y_4] :
( product(Y_4,e_3,e_3)
| product(Y_4,e_1,Y_4)
| ~ group_element(Y_4)
| product(Y_4,e_2,Y_4) ),
inference(factorization,[status(thm),theory(equality)],[c_313]) ).
tff(c_839,plain,
! [Y_119] :
( product(Y_119,e_3,e_3)
| product(Y_119,e_1,Y_119)
| ~ group_element(Y_119)
| product(Y_119,e_2,Y_119) ),
inference(factorization,[status(thm),theory(equality)],[c_313]) ).
tff(c_32,plain,
! [W_20,Z_22,X_19,Y_21] :
( equalish(W_20,Z_22)
| ~ product(X_19,Z_22,Y_21)
| ~ product(X_19,W_20,Y_21) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_3269,plain,
! [W_170,Y_171] :
( equalish(W_170,e_2)
| ~ product(Y_171,W_170,Y_171)
| product(Y_171,e_3,e_3)
| product(Y_171,e_1,Y_171)
| ~ group_element(Y_171) ),
inference(resolution,[status(thm)],[c_839,c_32]) ).
tff(c_3288,plain,
( equalish(e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_1,e_3)
| ~ group_element(e_3)
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_563,c_3269]) ).
tff(c_3327,plain,
( equalish(e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_3288]) ).
tff(c_3328,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_26,c_3327]) ).
tff(c_3348,plain,
product(e_3,e_2,e_3),
inference(splitLeft,[status(thm)],[c_3328]) ).
tff(c_8,plain,
! [X_9,Y_12,Z1_10,Z2_11] :
( ~ product(X_9,Y_12,Z1_10)
| ~ product(Z2_11,Y_12,X_9)
| product(X_9,Z1_10,Z2_11) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_3865,plain,
! [Z2_177] :
( ~ product(Z2_177,e_2,e_3)
| product(e_3,e_3,Z2_177) ),
inference(resolution,[status(thm)],[c_3348,c_8]) ).
tff(c_3894,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_3348,c_3865]) ).
tff(c_3458,plain,
! [W_20] :
( equalish(W_20,e_2)
| ~ product(e_3,W_20,e_3) ),
inference(resolution,[status(thm)],[c_3348,c_32]) ).
tff(c_3916,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_3894,c_3458]) ).
tff(c_3976,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26,c_3916]) ).
tff(c_3978,plain,
~ product(e_3,e_2,e_3),
inference(splitRight,[status(thm)],[c_3328]) ).
tff(c_3999,plain,
( product(e_2,e_2,e_3)
| product(e_1,e_2,e_3)
| ~ group_element(e_3)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_2,c_3978]) ).
tff(c_4017,plain,
( product(e_2,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_14,c_3999]) ).
tff(c_4597,plain,
product(e_1,e_2,e_3),
inference(splitLeft,[status(thm)],[c_4017]) ).
tff(c_976,plain,
! [W_20,Y_119] :
( equalish(W_20,e_3)
| ~ product(Y_119,W_20,e_3)
| product(Y_119,e_1,Y_119)
| ~ group_element(Y_119)
| product(Y_119,e_2,Y_119) ),
inference(resolution,[status(thm)],[c_839,c_32]) ).
tff(c_4603,plain,
( equalish(e_2,e_3)
| product(e_1,e_1,e_1)
| ~ group_element(e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[c_4597,c_976]) ).
tff(c_4648,plain,
( equalish(e_2,e_3)
| product(e_1,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_4603]) ).
tff(c_4649,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_4648]) ).
tff(c_7490,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_4649]) ).
tff(c_30,plain,
! [W_17,Z_18,X_15,Y_16] :
( equalish(W_17,Z_18)
| ~ product(X_15,Y_16,Z_18)
| ~ product(X_15,Y_16,W_17) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_4690,plain,
! [W_17] :
( equalish(W_17,e_3)
| ~ product(e_1,e_2,W_17) ),
inference(resolution,[status(thm)],[c_4597,c_30]) ).
tff(c_7495,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_7490,c_4690]) ).
tff(c_7530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_7495]) ).
tff(c_7531,plain,
product(e_1,e_1,e_1),
inference(splitRight,[status(thm)],[c_4649]) ).
tff(c_36,plain,
! [Z2_30,Y_28,X_27,Z1_29] :
( product(Z2_30,Y_28,X_27)
| ~ product(X_27,Z1_29,Z2_30)
| ~ product(X_27,Y_28,Z1_29) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_6900,plain,
! [Y_209] :
( product(e_3,Y_209,e_1)
| ~ product(e_1,Y_209,e_2) ),
inference(resolution,[status(thm)],[c_4597,c_36]) ).
tff(c_24,plain,
~ equalish(e_3,e_1),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_5954,plain,
! [Y_200] :
( product(e_3,Y_200,e_1)
| ~ product(e_1,Y_200,e_2) ),
inference(resolution,[status(thm)],[c_4597,c_36]) ).
tff(c_5518,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_4649]) ).
tff(c_28,plain,
! [X_13,Y_14] :
( product(X_13,Y_14,e_3)
| product(X_13,Y_14,e_2)
| product(X_13,Y_14,e_1)
| ~ group_element(Y_14)
| ~ group_element(X_13) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_3996,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_28,c_3978]) ).
tff(c_4014,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_3996]) ).
tff(c_4857,plain,
product(e_3,e_2,e_1),
inference(splitLeft,[status(thm)],[c_4014]) ).
tff(c_34,plain,
! [W_23,Z_26,Y_24,X_25] :
( equalish(W_23,Z_26)
| ~ product(Z_26,Y_24,X_25)
| ~ product(W_23,Y_24,X_25) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_4938,plain,
! [W_23] :
( equalish(W_23,e_3)
| ~ product(W_23,e_2,e_1) ),
inference(resolution,[status(thm)],[c_4857,c_34]) ).
tff(c_5521,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_5518,c_4938]) ).
tff(c_5558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_5521]) ).
tff(c_5559,plain,
product(e_1,e_1,e_1),
inference(splitRight,[status(thm)],[c_4649]) ).
tff(c_5621,plain,
! [W_23] :
( equalish(W_23,e_1)
| ~ product(W_23,e_1,e_1) ),
inference(resolution,[status(thm)],[c_5559,c_34]) ).
tff(c_5958,plain,
( equalish(e_3,e_1)
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[c_5954,c_5621]) ).
tff(c_6026,plain,
~ product(e_1,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_24,c_5958]) ).
tff(c_4940,plain,
! [W_20] :
( equalish(W_20,e_2)
| ~ product(e_3,W_20,e_1) ),
inference(resolution,[status(thm)],[c_4857,c_32]) ).
tff(c_6117,plain,
! [Y_201] :
( equalish(Y_201,e_2)
| ~ product(e_1,Y_201,e_2) ),
inference(resolution,[status(thm)],[c_5954,c_4940]) ).
tff(c_6141,plain,
( equalish(e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_1,e_2)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_4,c_6117]) ).
tff(c_6154,plain,
( equalish(e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_1,e_2) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_12,c_6141]) ).
tff(c_6155,plain,
product(e_1,e_2,e_2),
inference(negUnitSimplification,[status(thm)],[c_6026,c_26,c_6154]) ).
tff(c_6161,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_6155,c_4690]) ).
tff(c_6195,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_6161]) ).
tff(c_6196,plain,
product(e_3,e_2,e_2),
inference(splitRight,[status(thm)],[c_4014]) ).
tff(c_6279,plain,
! [W_17] :
( equalish(W_17,e_2)
| ~ product(e_3,e_2,W_17) ),
inference(resolution,[status(thm)],[c_6196,c_30]) ).
tff(c_6907,plain,
( equalish(e_1,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[c_6900,c_6279]) ).
tff(c_6968,plain,
~ product(e_1,e_2,e_2),
inference(negUnitSimplification,[status(thm)],[c_16,c_6907]) ).
tff(c_3977,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_3,e_3) ),
inference(splitRight,[status(thm)],[c_3328]) ).
tff(c_4074,plain,
product(e_3,e_3,e_3),
inference(splitLeft,[status(thm)],[c_3977]) ).
tff(c_4204,plain,
! [W_17] :
( equalish(W_17,e_3)
| ~ product(e_3,e_3,W_17) ),
inference(resolution,[status(thm)],[c_4074,c_30]) ).
tff(c_6914,plain,
( equalish(e_1,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[c_6900,c_4204]) ).
tff(c_6972,plain,
~ product(e_1,e_3,e_2),
inference(negUnitSimplification,[status(thm)],[c_18,c_6914]) ).
tff(c_7047,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_1,e_2)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_4,c_6972]) ).
tff(c_7059,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_1,e_2) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_12,c_7047]) ).
tff(c_7060,plain,
product(e_1,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_6968,c_7059]) ).
tff(c_7388,plain,
! [W_17] :
( equalish(W_17,e_2)
| ~ product(e_1,e_1,W_17) ),
inference(resolution,[status(thm)],[c_7060,c_30]) ).
tff(c_7535,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_7531,c_7388]) ).
tff(c_7565,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16,c_7535]) ).
tff(c_7566,plain,
product(e_2,e_2,e_3),
inference(splitRight,[status(thm)],[c_4017]) ).
tff(c_994,plain,
! [W_17,Y_119] :
( equalish(W_17,Y_119)
| ~ product(Y_119,e_2,W_17)
| product(Y_119,e_3,e_3)
| product(Y_119,e_1,Y_119)
| ~ group_element(Y_119) ),
inference(resolution,[status(thm)],[c_839,c_30]) ).
tff(c_7569,plain,
( equalish(e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_1,e_2)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_7566,c_994]) ).
tff(c_7610,plain,
( equalish(e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_1,e_2) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_7569]) ).
tff(c_7611,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_1,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_26,c_7610]) ).
tff(c_9037,plain,
product(e_2,e_1,e_2),
inference(splitLeft,[status(thm)],[c_7611]) ).
tff(c_7658,plain,
! [Y_28] :
( product(e_3,Y_28,e_2)
| ~ product(e_2,Y_28,e_2) ),
inference(resolution,[status(thm)],[c_7566,c_36]) ).
tff(c_9331,plain,
! [W_232] :
( equalish(W_232,e_2)
| ~ product(W_232,e_1,e_2) ),
inference(resolution,[status(thm)],[c_9037,c_34]) ).
tff(c_9344,plain,
( equalish(e_3,e_2)
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[c_7658,c_9331]) ).
tff(c_9373,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_9037,c_9344]) ).
tff(c_9375,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26,c_9373]) ).
tff(c_9376,plain,
product(e_2,e_3,e_3),
inference(splitRight,[status(thm)],[c_7611]) ).
tff(c_7661,plain,
! [W_20] :
( equalish(W_20,e_2)
| ~ product(e_2,W_20,e_3) ),
inference(resolution,[status(thm)],[c_7566,c_32]) ).
tff(c_9382,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_9376,c_7661]) ).
tff(c_9436,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26,c_9382]) ).
tff(c_9437,plain,
product(e_3,e_1,e_3),
inference(splitRight,[status(thm)],[c_3977]) ).
tff(c_10123,plain,
! [Y_239] :
( ~ product(e_3,Y_239,e_3)
| product(e_3,Y_239,e_1) ),
inference(resolution,[status(thm)],[c_9437,c_6]) ).
tff(c_10175,plain,
product(e_3,e_1,e_1),
inference(resolution,[status(thm)],[c_9437,c_10123]) ).
tff(c_9544,plain,
! [W_17] :
( equalish(W_17,e_3)
| ~ product(e_3,e_1,W_17) ),
inference(resolution,[status(thm)],[c_9437,c_30]) ).
tff(c_10212,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_10175,c_9544]) ).
tff(c_10248,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_10212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP130-4.003 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.11/0.13 % 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 : n029.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 21:26:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 8.55/3.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.55/3.03
% 8.55/3.03 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------