TSTP Solution File: GRP660-11 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP660-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n009.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 : 600s
% DateTime : Sat Jul 16 10:31:25 EDT 2022
% Result : Unsatisfiable 4.89s 1.61s
% Output : CNFRefutation 4.89s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP660-11 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 00:08:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.34 4520: Facts:
% 0.19/0.34 4520: Id : 2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by f01 ?2 ?3
% 0.19/0.34 4520: Id : 3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by f02 ?5 ?6
% 0.19/0.35 4520: Id : 4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by f03 ?8 ?9
% 0.19/0.35 4520: Id : 5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by f04 ?11 ?12
% 0.19/0.35 4520: Id : 6, {_}:
% 0.19/0.35 mult (mult (mult ?14 ?15) ?16) ?14
% 0.19/0.35 =?=
% 0.19/0.35 mult ?14 (mult ?15 (mult ?16 ?14))
% 0.19/0.35 [16, 15, 14] by f05 ?14 ?15 ?16
% 0.19/0.35 4520: Goal:
% 0.19/0.35 4520: Id : 1, {_}: mult x0 (rd x1 x1) =>= x0 [] by goal
% 4.89/1.61 Statistics :
% 4.89/1.61 Max weight : 29
% 4.89/1.61 Found proof, 1.266533s
% 4.89/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 4.89/1.61 % SZS output start CNFRefutation for theBenchmark.p
% 4.89/1.61 Id : 6, {_}: mult (mult (mult ?14 ?15) ?16) ?14 =?= mult ?14 (mult ?15 (mult ?16 ?14)) [16, 15, 14] by f05 ?14 ?15 ?16
% 4.89/1.61 Id : 5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by f04 ?11 ?12
% 4.89/1.61 Id : 2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by f01 ?2 ?3
% 4.89/1.61 Id : 17, {_}: rd (mult ?45 ?46) ?46 =>= ?45 [46, 45] by f04 ?45 ?46
% 4.89/1.61 Id : 4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by f03 ?8 ?9
% 4.89/1.61 Id : 3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by f02 ?5 ?6
% 4.89/1.61 Id : 13, {_}: ld (rd ?34 ?35) ?34 =>= ?35 [35, 34] by Super 3 with 4 at 2,2
% 4.89/1.61 Id : 18, {_}: rd ?48 (ld ?49 ?48) =>= ?49 [49, 48] by Super 17 with 2 at 1,2
% 4.89/1.61 Id : 59, {_}: ld ?178 (mult (mult (mult ?178 ?179) ?180) ?178) =>= mult ?179 (mult ?180 ?178) [180, 179, 178] by Super 3 with 6 at 2,2
% 4.89/1.61 Id : 64, {_}: ld ?200 (mult ?201 ?200) =<= mult ?202 (mult (ld (mult ?200 ?202) ?201) ?200) [202, 201, 200] by Super 59 with 2 at 1,2,2
% 4.89/1.61 Id : 144, {_}: ld ?464 (ld ?465 (mult ?466 ?465)) =<= mult (ld (mult ?465 ?464) ?466) ?465 [466, 465, 464] by Super 3 with 64 at 2,2
% 4.89/1.61 Id : 388, {_}: rd (ld ?1197 (ld ?1198 (mult ?1199 ?1198))) ?1198 =>= ld (mult ?1198 ?1197) ?1199 [1199, 1198, 1197] by Super 5 with 144 at 1,2
% 4.89/1.61 Id : 413, {_}: rd (ld ?1287 ?1288) ?1288 =>= ld (mult ?1288 ?1287) ?1288 [1288, 1287] by Super 388 with 3 at 2,1,2
% 4.89/1.61 Id : 415, {_}: rd ?1293 ?1294 =<= ld (mult ?1294 (rd ?1294 ?1293)) ?1294 [1294, 1293] by Super 413 with 13 at 1,2
% 4.89/1.61 Id : 447, {_}: rd ?1375 (rd ?1376 ?1375) =<= mult ?1375 (rd ?1375 ?1376) [1376, 1375] by Super 18 with 415 at 2,2
% 4.89/1.61 Id : 517, {_}: ld ?1543 (rd ?1543 (rd ?1544 ?1543)) =>= rd ?1543 ?1544 [1544, 1543] by Super 3 with 447 at 2,2
% 4.89/1.61 Id : 518, {_}: ld ?1546 (rd ?1546 ?1547) =<= rd ?1546 (mult ?1547 ?1546) [1547, 1546] by Super 517 with 5 at 2,2,2
% 4.89/1.61 Id : 570, {_}: ld (ld ?1669 (rd ?1669 ?1670)) ?1669 =>= mult ?1670 ?1669 [1670, 1669] by Super 13 with 518 at 1,2
% 4.89/1.61 Id : 572, {_}: ld (ld ?1675 ?1676) ?1675 =<= mult (ld ?1676 ?1675) ?1675 [1676, 1675] by Super 570 with 18 at 2,1,2
% 4.89/1.61 Id : 600, {_}: ld (ld ?1742 ?1743) (ld (ld ?1743 ?1742) ?1743) =>= ?1743 [1743, 1742] by Super 3 with 572 at 2,2
% 4.89/1.61 Id : 94, {_}: rd (mult ?304 (mult ?305 (mult ?306 ?304))) ?304 =>= mult (mult ?304 ?305) ?306 [306, 305, 304] by Super 5 with 6 at 1,2
% 4.89/1.61 Id : 117, {_}: rd (mult ?388 (mult ?389 ?390)) ?388 =<= mult (mult ?388 ?389) (rd ?390 ?388) [390, 389, 388] by Super 94 with 4 at 2,2,1,2
% 4.89/1.61 Id : 121, {_}: rd (mult ?405 (mult (ld ?405 ?406) ?407)) ?405 =>= mult ?406 (rd ?407 ?405) [407, 406, 405] by Super 117 with 2 at 1,3
% 4.89/1.61 Id : 590, {_}: rd (mult ?1705 (ld (ld ?1706 ?1705) ?1706)) ?1705 =>= mult ?1706 (rd ?1706 ?1705) [1706, 1705] by Super 121 with 572 at 2,1,2
% 4.89/1.61 Id : 3522, {_}: rd (mult ?9081 (ld (ld ?9082 ?9081) ?9082)) ?9081 =>= rd ?9082 (rd ?9081 ?9082) [9082, 9081] by Demod 590 with 447 at 3
% 4.89/1.61 Id : 7172, {_}: rd (mult ?19260 (ld ?19261 (rd ?19260 ?19261))) ?19260 =>= rd (rd ?19260 ?19261) (rd ?19260 (rd ?19260 ?19261)) [19261, 19260] by Super 3522 with 13 at 1,2,1,2
% 4.89/1.61 Id : 7203, {_}: rd (rd ?19376 ?19376) ?19376 =<= rd (rd ?19376 ?19376) (rd ?19376 (rd ?19376 ?19376)) [19376] by Super 7172 with 2 at 1,2
% 4.89/1.61 Id : 538, {_}: ld ?1597 (rd ?1597 ?1598) =<= rd ?1597 (mult ?1598 ?1597) [1598, 1597] by Super 517 with 5 at 2,2,2
% 4.89/1.61 Id : 548, {_}: ld (rd ?1634 ?1635) (rd (rd ?1634 ?1635) ?1634) =<= rd (rd ?1634 ?1635) (rd ?1634 (rd ?1635 ?1634)) [1635, 1634] by Super 538 with 447 at 2,3
% 4.89/1.61 Id : 7283, {_}: rd (rd ?19376 ?19376) ?19376 =<= ld (rd ?19376 ?19376) (rd (rd ?19376 ?19376) ?19376) [19376] by Demod 7203 with 548 at 3
% 4.89/1.61 Id : 7797, {_}: ld (ld (rd (rd ?20338 ?20338) ?20338) (rd ?20338 ?20338)) (ld (rd (rd ?20338 ?20338) ?20338) (rd ?20338 ?20338)) =>= rd ?20338 ?20338 [20338] by Super 600 with 7283 at 1,2,2
% 4.89/1.61 Id : 7839, {_}: ld ?20338 (ld (rd (rd ?20338 ?20338) ?20338) (rd ?20338 ?20338)) =>= rd ?20338 ?20338 [20338] by Demod 7797 with 13 at 1,2
% 4.89/1.61 Id : 7840, {_}: ld ?20338 ?20338 =<= rd ?20338 ?20338 [20338] by Demod 7839 with 13 at 2,2
% 4.89/1.61 Id : 77, {_}: ld ?252 (mult (mult ?253 ?254) ?252) =<= mult (ld ?252 ?253) (mult ?254 ?252) [254, 253, 252] by Super 59 with 2 at 1,1,2,2
% 4.89/1.61 Id : 213, {_}: ld ?685 (mult (mult ?686 (rd ?687 ?685)) ?685) =>= mult (ld ?685 ?686) ?687 [687, 686, 685] by Super 77 with 4 at 2,3
% 4.89/1.61 Id : 738, {_}: ld ?2190 (mult ?2191 ?2190) =<= mult (ld ?2190 (rd ?2191 (rd ?2192 ?2190))) ?2192 [2192, 2191, 2190] by Super 213 with 4 at 1,2,2
% 4.89/1.61 Id : 740, {_}: ld (ld ?2198 ?2199) (mult ?2200 (ld ?2198 ?2199)) =<= mult (ld (ld ?2198 ?2199) (rd ?2200 ?2198)) ?2199 [2200, 2199, 2198] by Super 738 with 18 at 2,2,1,3
% 4.89/1.61 Id : 398, {_}: rd (ld ?1244 ?1245) ?1245 =>= ld (mult ?1245 ?1244) ?1245 [1245, 1244] by Super 388 with 3 at 2,1,2
% 4.89/1.61 Id : 217, {_}: ld ?702 (mult ?703 ?702) =<= mult (ld ?702 (rd ?703 (rd ?704 ?702))) ?704 [704, 703, 702] by Super 213 with 4 at 1,2,2
% 4.89/1.61 Id : 725, {_}: rd (ld ?2131 (mult ?2132 ?2131)) ?2133 =>= ld ?2131 (rd ?2132 (rd ?2133 ?2131)) [2133, 2132, 2131] by Super 5 with 217 at 1,2
% 4.89/1.61 Id : 781, {_}: ld ?2307 (rd ?2308 (rd (mult ?2308 ?2307) ?2307)) =?= ld (mult (mult ?2308 ?2307) ?2307) (mult ?2308 ?2307) [2308, 2307] by Super 398 with 725 at 2
% 4.89/1.61 Id : 809, {_}: ld ?2307 (rd ?2308 ?2308) =<= ld (mult (mult ?2308 ?2307) ?2307) (mult ?2308 ?2307) [2308, 2307] by Demod 781 with 5 at 2,2,2
% 4.89/1.61 Id : 7915, {_}: ld ?2307 (ld ?2308 ?2308) =<= ld (mult (mult ?2308 ?2307) ?2307) (mult ?2308 ?2307) [2308, 2307] by Demod 809 with 7840 at 2,2
% 4.89/1.61 Id : 96, {_}: rd (mult ?312 (mult ?313 ?314)) ?312 =<= mult (mult ?312 ?313) (rd ?314 ?312) [314, 313, 312] by Super 94 with 4 at 2,2,1,2
% 4.89/1.61 Id : 7942, {_}: rd (mult ?20458 (mult ?20459 ?20458)) ?20458 =<= mult (mult ?20458 ?20459) (ld ?20458 ?20458) [20459, 20458] by Super 96 with 7840 at 2,3
% 4.89/1.61 Id : 8349, {_}: ld (ld ?21012 ?21012) (ld ?21012 ?21012) =<= ld (rd (mult ?21012 (mult (ld ?21012 ?21012) ?21012)) ?21012) (mult ?21012 (ld ?21012 ?21012)) [21012] by Super 7915 with 7942 at 1,3
% 4.89/1.61 Id : 8460, {_}: ld (ld ?21012 ?21012) (ld ?21012 ?21012) =<= ld (mult ?21012 (rd ?21012 ?21012)) (mult ?21012 (ld ?21012 ?21012)) [21012] by Demod 8349 with 121 at 1,3
% 4.89/1.61 Id : 8461, {_}: ld (ld ?21012 ?21012) (ld ?21012 ?21012) =<= ld (mult ?21012 (rd ?21012 ?21012)) ?21012 [21012] by Demod 8460 with 2 at 2,3
% 4.89/1.61 Id : 8462, {_}: ld (ld ?21012 ?21012) (ld ?21012 ?21012) =<= ld (rd ?21012 (rd ?21012 ?21012)) ?21012 [21012] by Demod 8461 with 447 at 1,3
% 4.89/1.61 Id : 8463, {_}: ld (ld ?21012 ?21012) (ld ?21012 ?21012) =>= rd ?21012 ?21012 [21012] by Demod 8462 with 13 at 3
% 4.89/1.61 Id : 8464, {_}: ld (ld ?21012 ?21012) (ld ?21012 ?21012) =>= ld ?21012 ?21012 [21012] by Demod 8463 with 7840 at 3
% 4.89/1.61 Id : 9012, {_}: ld (ld (ld ?22368 ?22368) (ld ?22368 ?22368)) (mult ?22369 (ld (ld ?22368 ?22368) (ld ?22368 ?22368))) =>= mult (ld (ld ?22368 ?22368) (rd ?22369 (ld ?22368 ?22368))) (ld ?22368 ?22368) [22369, 22368] by Super 740 with 8464 at 1,1,3
% 4.89/1.61 Id : 9180, {_}: ld (ld ?22368 ?22368) (mult ?22369 (ld (ld ?22368 ?22368) (ld ?22368 ?22368))) =<= mult (ld (ld ?22368 ?22368) (rd ?22369 (ld ?22368 ?22368))) (ld ?22368 ?22368) [22369, 22368] by Demod 9012 with 8464 at 1,2
% 4.89/1.61 Id : 9181, {_}: ld (ld ?22368 ?22368) (mult ?22369 (ld ?22368 ?22368)) =<= mult (ld (ld ?22368 ?22368) (rd ?22369 (ld ?22368 ?22368))) (ld ?22368 ?22368) [22369, 22368] by Demod 9180 with 8464 at 2,2,2
% 4.89/1.61 Id : 195, {_}: ld ?613 (ld ?614 (mult ?615 ?614)) =<= mult (ld (mult ?614 ?613) ?615) ?614 [615, 614, 613] by Super 3 with 64 at 2,2
% 4.89/1.61 Id : 641, {_}: ld (ld ?1843 ?1844) (ld ?1843 (mult ?1845 ?1843)) =>= mult (ld ?1844 ?1845) ?1843 [1845, 1844, 1843] by Super 195 with 2 at 1,1,3
% 4.89/1.61 Id : 643, {_}: ld (ld ?1851 ?1852) (ld ?1851 ?1853) =<= mult (ld ?1852 (rd ?1853 ?1851)) ?1851 [1853, 1852, 1851] by Super 641 with 4 at 2,2,2
% 4.89/1.61 Id : 9182, {_}: ld (ld ?22368 ?22368) (mult ?22369 (ld ?22368 ?22368)) =<= ld (ld (ld ?22368 ?22368) (ld ?22368 ?22368)) (ld (ld ?22368 ?22368) ?22369) [22369, 22368] by Demod 9181 with 643 at 3
% 4.89/1.61 Id : 9183, {_}: ld (ld ?22368 ?22368) (mult ?22369 (ld ?22368 ?22368)) =>= ld (ld ?22368 ?22368) (ld (ld ?22368 ?22368) ?22369) [22369, 22368] by Demod 9182 with 8464 at 1,3
% 4.89/1.61 Id : 17915, {_}: mult (ld ?35290 ?35290) (ld (ld ?35290 ?35290) (ld (ld ?35290 ?35290) ?35291)) =>= mult ?35291 (ld ?35290 ?35290) [35291, 35290] by Super 2 with 9183 at 2,2
% 4.89/1.61 Id : 18053, {_}: ld (ld ?35290 ?35290) ?35291 =<= mult ?35291 (ld ?35290 ?35290) [35291, 35290] by Demod 17915 with 2 at 2
% 4.89/1.61 Id : 7944, {_}: ld (ld ?20463 ?20463) ?20463 =>= ?20463 [20463] by Super 13 with 7840 at 1,2
% 4.89/1.61 Id : 100, {_}: rd (mult ?331 ?332) ?331 =<= mult (mult ?331 (rd ?332 (mult ?333 ?331))) ?333 [333, 332, 331] by Super 94 with 4 at 2,1,2
% 4.89/1.61 Id : 245, {_}: rd (rd (mult ?779 ?780) ?779) ?781 =<= mult ?779 (rd ?780 (mult ?781 ?779)) [781, 780, 779] by Super 5 with 100 at 1,2
% 4.89/1.61 Id : 283, {_}: ld ?896 (rd (rd (mult ?896 ?897) ?896) ?898) =>= rd ?897 (mult ?898 ?896) [898, 897, 896] by Super 3 with 245 at 2,2
% 4.89/1.61 Id : 414, {_}: rd ?1290 (mult ?1291 ?1290) =<= ld (mult (mult ?1291 ?1290) ?1291) (mult ?1291 ?1290) [1291, 1290] by Super 413 with 3 at 1,2
% 4.89/1.61 Id : 1584, {_}: ld ?1290 (rd ?1290 ?1291) =<= ld (mult (mult ?1291 ?1290) ?1291) (mult ?1291 ?1290) [1291, 1290] by Demod 414 with 518 at 2
% 4.89/1.61 Id : 18235, {_}: ld ?35646 (rd ?35646 (ld ?35647 ?35647)) =<= ld (ld (ld ?35647 ?35647) (mult (ld ?35647 ?35647) ?35646)) (mult (ld ?35647 ?35647) ?35646) [35647, 35646] by Super 1584 with 18053 at 1,3
% 4.89/1.61 Id : 18409, {_}: ld ?35646 (rd ?35646 (ld ?35647 ?35647)) =<= ld ?35646 (mult (ld ?35647 ?35647) ?35646) [35647, 35646] by Demod 18235 with 3 at 1,3
% 4.89/1.61 Id : 18801, {_}: mult ?36421 (ld ?36421 (rd ?36421 (ld ?36422 ?36422))) =>= mult (ld ?36422 ?36422) ?36421 [36422, 36421] by Super 2 with 18409 at 2,2
% 4.89/1.61 Id : 18962, {_}: rd ?36421 (ld ?36422 ?36422) =<= mult (ld ?36422 ?36422) ?36421 [36422, 36421] by Demod 18801 with 2 at 2
% 4.89/1.61 Id : 19190, {_}: rd (rd ?36884 (ld ?36885 ?36885)) ?36884 =>= ld ?36885 ?36885 [36885, 36884] by Super 5 with 18962 at 1,2
% 4.89/1.61 Id : 19584, {_}: ld (ld ?37291 ?37291) (ld ?37291 ?37291) =<= rd ?37292 (mult (mult (ld ?37291 ?37291) ?37292) (ld ?37291 ?37291)) [37292, 37291] by Super 283 with 19190 at 2,2
% 4.89/1.61 Id : 19696, {_}: ld ?37291 ?37291 =<= rd ?37292 (mult (mult (ld ?37291 ?37291) ?37292) (ld ?37291 ?37291)) [37292, 37291] by Demod 19584 with 8464 at 2
% 4.89/1.61 Id : 19697, {_}: ld ?37291 ?37291 =<= rd ?37292 (ld (ld ?37291 ?37291) (mult (ld ?37291 ?37291) ?37292)) [37292, 37291] by Demod 19696 with 18053 at 2,3
% 4.89/1.61 Id : 19698, {_}: ld ?37291 ?37291 =?= rd ?37292 ?37292 [37292, 37291] by Demod 19697 with 3 at 2,3
% 4.89/1.61 Id : 19699, {_}: ld ?37291 ?37291 =?= ld ?37292 ?37292 [37292, 37291] by Demod 19698 with 7840 at 3
% 4.89/1.61 Id : 19859, {_}: ld (ld ?37760 ?37760) ?37761 =>= ?37761 [37761, 37760] by Super 7944 with 19699 at 1,2
% 4.89/1.61 Id : 20308, {_}: ?35291 =<= mult ?35291 (ld ?35290 ?35290) [35290, 35291] by Demod 18053 with 19859 at 2
% 4.89/1.61 Id : 20850, {_}: x0 === x0 [] by Demod 20849 with 20308 at 2
% 4.89/1.61 Id : 20849, {_}: mult x0 (ld x1 x1) =>= x0 [] by Demod 1 with 7840 at 2,2
% 4.89/1.61 Id : 1, {_}: mult x0 (rd x1 x1) =>= x0 [] by goal
% 4.89/1.61 % SZS output end CNFRefutation for theBenchmark.p
% 4.89/1.61 4523: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 1.270891 using nrkbo
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