%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN520-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:40:40 PM UTC 2026
% Result : Satisfiable 18.42s 3.18s
% Output : Model 18.42s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
%------ Positive definition of ndr1_0
fof(lit_def,axiom,
( ndr1_0
<=> $true ) ).
%------ Positive definition of c3_0
fof(lit_def_001,axiom,
( c3_0
<=> $true ) ).
%------ Positive definition of c5_1
fof(lit_def_002,axiom,
! [X0] :
( c5_1(X0)
<=> ( X0 = a1363
| X0 = a1503
| X0 = a1487
| X0 = a1516
| X0 = a1350
| X0 = a1494 ) ) ).
%------ Positive definition of ndr1_1
fof(lit_def_003,axiom,
! [X0] :
( ndr1_1(X0)
<=> ( X0 = a1443
| X0 = a1470
| X0 = a1504
| X0 = a1510
| X0 = a1333
| X0 = a1363
| X0 = a1452
| X0 = a1498
| X0 = a1503
| X0 = a1499
| X0 = a1409
| X0 = a1436
| X0 = a1487
| X0 = a1516
| X0 = a1428
| X0 = a1350
| X0 = a1424
| X0 = a1475
| X0 = a1464
| ( X0 != a1378
& X0 != a1458 ) ) ) ).
%------ Positive definition of c2_1
fof(lit_def_004,axiom,
! [X0] :
( c2_1(X0)
<=> ( X0 = a1504
| X0 = a1346
| X0 = a1378
| X0 = a1499
| X0 = a1409
| X0 = a1442
| X0 = a1428
| X0 = a1434
| X0 = a1454
| X0 = a1424
| X0 = a1475
| X0 = a1458
| X0 = a1464
| ( X0 != a1363
& X0 != a1452
& X0 != a1503
& X0 != a1487
& X0 != a1516
& X0 != a1350 ) ) ) ).
%------ Positive definition of c5_0
fof(lit_def_005,axiom,
( c5_0
<=> $false ) ).
%------ Positive definition of c4_1
fof(lit_def_006,axiom,
! [X0] :
( c4_1(X0)
<=> ( X0 = a1504
| X0 = a1409
| X0 = a1516
| X0 = a1428
| X0 = a1424
| X0 = a1475 ) ) ).
%------ Positive definition of c4_0
fof(lit_def_007,axiom,
( c4_0
<=> $false ) ).
%------ Positive definition of c2_2
fof(lit_def_008,axiom,
! [X0,X1] :
( c2_2(X0,X1)
<=> ( ( X0 != a1452
& X0 != a1498
& X0 != a1503
& X0 != a1499
& X0 != a1436
& X0 != a1487
& X0 != a1516
& X0 != a1350
& X1 = a1358 )
| ( X0 != a1452
& X0 != a1503
& X0 != a1499
& X0 != a1409
& X0 != a1436
& X0 != a1487
& X0 != a1516
& X0 != a1350
& X1 = a1373 )
| ( X1 = a1471
& X0 = a1470 )
| ( X1 = a1334
& X0 = a1333 )
| ( X1 = a1379
& X0 = a1363 )
| ( X1 = a1435
& X0 = a1363 )
| ( X1 = a1526
& X0 = a1363 )
| ( X1 = a1341
& X0 = a1363 )
| ( X1 != a1523
& X1 != a1526
& X1 != a1341
& X1 != a1364
& X1 != a1340
& X1 != a1375
& X1 != a1376
& X0 = a1363 )
| ( X1 = a1358
& X0 = a1452 )
| ( X1 = a1505
& X0 = a1452 )
| ( X1 = a1435
& X0 = a1452 )
| ( X1 = a1374
& X0 = a1452 )
| ( X1 = a1414
& X0 = a1452 )
| ( X1 = a1453
& X0 = a1452 )
| ( X1 = a1489
& X0 = a1498 )
| ( X1 = a1358
& X0 = a1503 )
| ( X1 = a1358
& X0 = a1499 )
| ( X1 = a1523
& X0 = a1499 )
| ( X1 = a1489
& X0 = a1499 )
| ( X1 = a1373
& X0 = a1499 )
| ( X1 = a1480
& X0 = a1499 )
| ( X1 = a1324
& X0 = a1409 )
| ( X1 = a1358
& X0 = a1436 )
| ( X1 = a1373
& X0 = a1436 )
| ( X1 = a1435
& X0 = a1487 )
| ( X1 = a1488
& X0 = a1487 )
| ( X1 = a1373
& X0 = a1516 )
| ( X1 = a1358
& X0 = a1428 )
| ( X1 = a1523
& X0 = a1428 )
| ( X1 = a1459
& X0 = a1428 )
| ( X1 = a1435
& X0 = a1428 )
| ( X1 = a1526
& X0 = a1428 )
| ( X1 = a1341
& X0 = a1428 )
| ( X1 = a1340
& X0 = a1428 )
| ( X1 = a1357
& X0 = a1428 )
| ( X1 = a1373
& X0 = a1428 )
| ( X1 = a1376
& X0 = a1428 )
| ( X1 = a1429
& X0 = a1428 )
| ( X1 != a1523
& X1 != a1505
& X1 != a1435
& X1 != a1492
& X1 != a1526
& X1 != a1341
& X1 != a1340
& X1 != a1375
& X1 != a1376
& X0 = a1428 )
| ( X1 = a1374
& X0 = a1424 )
| ( X1 = a1379
& X0 = a1475 )
| ( X1 = a1358
& X0 = a1475 )
| ( X1 = a1459
& X0 = a1475 )
| ( X1 = a1357
& X0 = a1475 )
| ( X1 = a1375
& X0 = a1475 )
| ( X1 = a1376
& X0 = a1475 )
| ( X1 = a1480
& X0 = a1475 )
| ( X1 != a1523
& X1 != a1459
& X1 != a1340
& X1 != a1375
& X1 != a1376
& X0 = a1475 )
| ( X1 = a1465
& X0 = a1464 )
| ( X1 = a1466
& X0 = a1464 ) ) ) ).
%------ Positive definition of c3_2
fof(lit_def_009,axiom,
! [X0,X1] :
( c3_2(X0,X1)
<=> ( ( X0 != a1504
& X0 != a1452
& X0 != a1498
& X0 != a1409
& X0 != a1487
& X0 != a1424
& X0 != a1458
& X1 = a1358 )
| ( X0 != a1504
& X1 = a1489 )
| ( X0 != a1504
& X0 != a1452
& X0 != a1498
& X0 != a1409
& X0 != a1424
& X0 != a1458
& X1 = a1373 )
| ( X0 != a1504
& X0 != a1363
& X1 = a1375 )
| ( X1 = a1444
& X0 = a1443 )
| ( X1 = a1472
& X0 = a1470 )
| ( X1 = a1324
& X0 = a1504 )
| ( X1 != a1459
& X0 = a1346 )
| ( X1 = a1334
& X0 = a1333 )
| ( X1 != a1526
& X1 != a1357
& X0 = a1333 )
| ( X1 = a1526
& X0 = a1363 )
| ( X1 = a1341
& X0 = a1363 )
| ( X1 = a1373
& X0 = a1363 )
| ( X1 != a1523
& X1 != a1459
& X1 != a1526
& X1 != a1341
& X1 != a1364
& X1 != a1340
& X1 != a1375
& X1 != a1376
& X0 = a1363 )
| ( X1 = a1358
& X0 = a1452 )
| ( X1 = a1492
& X0 = a1452 )
| ( X1 = a1489
& X0 = a1498 )
| ( X1 = a1373
& X0 = a1498 )
| ( X1 = a1358
& X0 = a1503 )
| ( X1 = a1523
& X0 = a1503 )
| ( X1 = a1492
& X0 = a1503 )
| ( X1 = a1374
& X0 = a1503 )
| ( X1 = a1480
& X0 = a1503 )
| ( X1 = a1492
& X0 = a1499 )
| ( X1 = a1489
& X0 = a1499 )
| ( X1 = a1373
& X0 = a1499 )
| ( X1 = a1324
& X0 = a1409 )
| ( X1 != a1459
& X0 = a1436 )
| X0 = a1442
| ( X1 = a1523
& X0 = a1487 )
| ( X1 = a1435
& X0 = a1487 )
| ( X1 = a1488
& X0 = a1487 )
| ( X1 = a1373
& X0 = a1487 )
| ( X1 = a1480
& X0 = a1487 )
| ( X1 = a1373
& X0 = a1516 )
| X0 = a1516
| ( X1 = a1523
& X0 = a1428 )
| ( X1 = a1459
& X0 = a1428 )
| ( X1 != a1523
& X1 != a1459
& X1 != a1435
& X1 != a1492
& X1 != a1341
& X1 != a1340
& X1 != a1357
& X1 != a1429
& X0 = a1428 )
| ( X1 = a1373
& X0 = a1434 )
| ( X1 = a1373
& X0 = a1350 )
| X0 = a1350
| ( X1 = a1324
& X0 = a1424 )
| ( X1 = a1374
& X0 = a1424 )
| ( X1 = a1324
& X0 = a1475 )
| ( X1 != a1379
& X1 != a1523
& X1 != a1459
& X1 != a1480
& X0 = a1475 )
| ( X1 = a1465
& X0 = a1464 )
| X0 = a1494 ) ) ).
%------ Positive definition of c2_0
fof(lit_def_010,axiom,
( c2_0
<=> $false ) ).
%------ Positive definition of ssSkC0
fof(lit_def_011,axiom,
( ssSkC0
<=> $false ) ).
%------ Positive definition of c1_0
fof(lit_def_012,axiom,
( c1_0
<=> $false ) ).
%------ Positive definition of ssSkP13
fof(lit_def_013,axiom,
! [X0] :
( ssSkP13(X0)
<=> $true ) ).
%------ Positive definition of c3_1
fof(lit_def_014,axiom,
! [X0] :
( c3_1(X0)
<=> ( X0 = a1346
| X0 = a1363
| X0 = a1503
| X0 = a1442
| X0 = a1487
| X0 = a1516
| X0 = a1428
| X0 = a1350 ) ) ).
%------ Positive definition of ssSkC33
fof(lit_def_015,axiom,
( ssSkC33
<=> $true ) ).
%------ Positive definition of c1_1
fof(lit_def_016,axiom,
! [X0] :
( c1_1(X0)
<=> ( X0 = a1504
| X0 = a1333
| X0 = a1363
| X0 = a1378
| X0 = a1498
| X0 = a1503
| X0 = a1409
| X0 = a1487
| X0 = a1438
| X0 = a1350
| X0 = a1475
| X0 = a1458
| X0 = a1464
| X0 = a1494 ) ) ).
%------ Positive definition of ssSkP12
fof(lit_def_017,axiom,
! [X0] :
( ssSkP12(X0)
<=> $true ) ).
%------ Positive definition of ssSkP11
fof(lit_def_018,axiom,
! [X0] :
( ssSkP11(X0)
<=> $true ) ).
%------ Positive definition of ssSkC32
fof(lit_def_019,axiom,
( ssSkC32
<=> $true ) ).
%------ Positive definition of ssSkC30
fof(lit_def_020,axiom,
( ssSkC30
<=> $true ) ).
%------ Positive definition of ssSkC27
fof(lit_def_021,axiom,
( ssSkC27
<=> $true ) ).
%------ Positive definition of ssSkC26
fof(lit_def_022,axiom,
( ssSkC26
<=> $true ) ).
%------ Positive definition of ssSkP10
fof(lit_def_023,axiom,
! [X0] :
( ssSkP10(X0)
<=> $true ) ).
%------ Positive definition of ssSkP9
fof(lit_def_024,axiom,
! [X0] :
( ssSkP9(X0)
<=> $true ) ).
%------ Positive definition of ssSkC22
fof(lit_def_025,axiom,
( ssSkC22
<=> $true ) ).
%------ Positive definition of ssSkC21
fof(lit_def_026,axiom,
( ssSkC21
<=> $false ) ).
%------ Positive definition of ssSkC20
fof(lit_def_027,axiom,
( ssSkC20
<=> $true ) ).
%------ Positive definition of ssSkC19
fof(lit_def_028,axiom,
( ssSkC19
<=> $false ) ).
%------ Positive definition of ssSkC18
fof(lit_def_029,axiom,
( ssSkC18
<=> $false ) ).
%------ Positive definition of ssSkC17
fof(lit_def_030,axiom,
( ssSkC17
<=> $true ) ).
%------ Positive definition of ssSkC16
fof(lit_def_031,axiom,
( ssSkC16
<=> $false ) ).
%------ Positive definition of ssSkP7
fof(lit_def_032,axiom,
! [X0] :
( ssSkP7(X0)
<=> $true ) ).
%------ Positive definition of ssSkP6
fof(lit_def_033,axiom,
! [X0] :
( ssSkP6(X0)
<=> ( X0 = a1504
| X0 = a1363
| X0 = a1378
| X0 = a1428
| X0 = a1475
| X0 = a1458 ) ) ).
%------ Positive definition of ssSkP5
fof(lit_def_034,axiom,
! [X0] :
( ssSkP5(X0)
<=> ( X0 = a1504
| X0 = a1378
| X0 = a1452
| X0 = a1498
| X0 = a1503
| X0 = a1409
| X0 = a1487
| X0 = a1428
| X0 = a1350
| X0 = a1424
| X0 = a1458 ) ) ).
%------ Positive definition of ssSkC6
fof(lit_def_035,axiom,
( ssSkC6
<=> $true ) ).
%------ Positive definition of ssSkC5
fof(lit_def_036,axiom,
( ssSkC5
<=> $true ) ).
%------ Positive definition of ssSkP3
fof(lit_def_037,axiom,
! [X0] :
( ssSkP3(X0)
<=> ( X0 = a1452
| X0 = a1428
| X0 = a1475
| ( X0 != a1504
& X0 != a1452
& X0 != a1498
& X0 != a1499
& X0 != a1409
& X0 != a1487
& X0 != a1516
& X0 != a1350
& X0 != a1424 ) ) ) ).
%------ Positive definition of ssSkC4
fof(lit_def_038,axiom,
( ssSkC4
<=> $true ) ).
%------ Positive definition of ssSkP2
fof(lit_def_039,axiom,
! [X0] :
( ssSkP2(X0)
<=> ( X0 = a1363
| X0 = a1378
| X0 = a1428
| X0 = a1475
| X0 = a1458 ) ) ).
%------ Positive definition of ssSkC2
fof(lit_def_040,axiom,
( ssSkC2
<=> $true ) ).
%------ Positive definition of ssSkC35
fof(lit_def_041,axiom,
( ssSkC35
<=> $false ) ).
%------ Positive definition of c5_2
fof(lit_def_042,axiom,
! [X0,X1] :
( c5_2(X0,X1)
<=> ( ( X1 = a1324
& X0 = a1504 )
| ( X1 = a1357
& X0 = a1504 )
| ( X1 = a1334
& X0 = a1333 )
| ( X1 = a1341
& X0 = a1363 )
| ( X1 = a1364
& X0 = a1363 )
| ( X1 = a1379
& X0 = a1452 )
| ( X1 = a1523
& X0 = a1452 )
| ( X1 = a1505
& X0 = a1452 )
| ( X1 = a1492
& X0 = a1452 )
| ( X1 = a1489
& X0 = a1452 )
| ( X1 = a1414
& X0 = a1452 )
| ( X1 = a1373
& X0 = a1452 )
| ( X1 = a1480
& X0 = a1452 )
| ( X1 != a1379
& X1 != a1358
& X1 != a1523
& X1 != a1505
& X1 != a1435
& X1 != a1374
& X1 != a1373
& X1 != a1480
& X0 = a1452 )
| ( X1 = a1489
& X0 = a1498 )
| ( X1 = a1357
& X0 = a1498 )
| ( X1 = a1373
& X0 = a1498 )
| ( X1 = a1379
& X0 = a1503 )
| ( X1 = a1373
& X0 = a1503 )
| ( X1 != a1379
& X1 != a1358
& X1 != a1523
& X1 != a1374
& X1 != a1373
& X1 != a1480
& X0 = a1503 )
| ( X1 = a1379
& X0 = a1499 )
| ( X1 = a1459
& X0 = a1499 )
| ( X1 = a1357
& X0 = a1499 )
| ( X1 != a1379
& X1 != a1358
& X1 != a1523
& X1 != a1489
& X1 != a1373
& X1 != a1480
& X0 = a1499 )
| ( X1 = a1324
& X0 = a1409 )
| ( X1 = a1357
& X0 = a1409 )
| ( X1 = a1379
& X0 = a1487 )
| ( X1 = a1488
& X0 = a1487 )
| ( X1 = a1357
& X0 = a1487 )
| ( X1 != a1379
& X1 != a1358
& X1 != a1523
& X1 != a1435
& X1 != a1373
& X1 != a1480
& X0 = a1487 )
| ( X1 = a1410
& X0 = a1516 )
| ( X1 = a1357
& X0 = a1516 )
| ( X1 = a1505
& X0 = a1428 )
| ( X1 = a1492
& X0 = a1428 )
| ( X1 = a1375
& X0 = a1428 )
| ( X1 = a1357
& X0 = a1350 )
| ( X1 = a1324
& X0 = a1424 )
| ( X1 = a1357
& X0 = a1424 )
| ( X1 = a1523
& X0 = a1475 )
| ( X1 = a1324
& X0 = a1475 )
| ( X1 != a1379
& X1 != a1358
& X1 != a1523
& X1 != a1459
& X1 != a1357
& X1 != a1375
& X1 != a1480
& X0 = a1475 ) ) ) ).
%------ Positive definition of c1_2
fof(lit_def_043,axiom,
! [X0,X1] :
( c1_2(X0,X1)
<=> ( ( X0 != a1333
& X0 != a1452
& X0 != a1503
& X0 != a1499
& X0 != a1428
& X0 != a1475
& X1 = a1358 )
| ( X0 != a1333
& X0 != a1452
& X0 != a1428
& X0 != a1475
& X1 = a1357 )
| ( X0 != a1333
& X0 != a1452
& X0 != a1428
& X0 != a1475
& X1 = a1375 )
| ( X1 = a1444
& X0 = a1443 )
| ( X1 = a1472
& X0 = a1470 )
| ( X1 = a1526
& X0 = a1504 )
| ( X1 = a1526
& X0 = a1333 )
| ( X1 = a1357
& X0 = a1333 )
| ( X1 = a1375
& X0 = a1333 )
| ( X1 = a1523
& X0 = a1363 )
| ( X1 = a1459
& X0 = a1363 )
| ( X1 = a1526
& X0 = a1363 )
| ( X1 = a1364
& X0 = a1363 )
| ( X1 = a1340
& X0 = a1363 )
| ( X1 = a1375
& X0 = a1363 )
| ( X1 = a1376
& X0 = a1363 )
| ( X1 = a1526
& X0 = a1378 )
| ( X1 = a1358
& X0 = a1452 )
| ( X1 = a1375
& X0 = a1452 )
| ( X1 = a1526
& X0 = a1498 )
| ( X1 != a1489
& X1 != a1373
& X0 = a1498 )
| ( X1 = a1526
& X0 = a1503 )
| ( X1 = a1459
& X0 = a1499 )
| ( X1 != a1358
& X1 != a1523
& X1 != a1459
& X1 != a1489
& X1 != a1373
& X1 != a1480
& X0 = a1499 )
| ( X1 = a1358
& X0 = a1436 )
| ( X1 = a1437
& X0 = a1436 )
| ( X1 = a1358
& X0 = a1487 )
| ( X1 = a1526
& X0 = a1487 )
| ( X1 = a1358
& X0 = a1428 )
| ( X1 = a1459
& X0 = a1428 )
| ( X1 = a1340
& X0 = a1428 )
| ( X1 = a1357
& X0 = a1428 )
| ( X1 = a1373
& X0 = a1428 )
| ( X1 = a1429
& X0 = a1428 )
| ( X1 != a1373
& X0 = a1434 )
| ( X1 = a1526
& X0 = a1438 )
| ( X1 = a1526
& X0 = a1350 )
| ( X1 = a1373
& X0 = a1424 )
| ( X1 != a1374
& X0 = a1424 )
| ( X1 = a1379
& X0 = a1475 )
| ( X1 = a1523
& X0 = a1475 )
| ( X1 = a1459
& X0 = a1475 )
| ( X1 = a1480
& X0 = a1475 )
| ( X1 = a1526
& X0 = a1458 )
| ( X1 = a1526
& X0 = a1464 )
| ( X1 = a1526
& X0 = a1494 )
| ( X1 != a1373
& ( X1 != a1334
| X0 != a1333 )
& X0 != a1333
& ( X1 != a1379
| X0 != a1363 )
& ( X1 != a1489
| X0 != a1363 )
& ( X1 != a1341
| X0 != a1363 )
& ( X1 != a1379
| X0 != a1452 )
& ( X1 != a1358
| X0 != a1452 )
& ( X1 != a1489
| X0 != a1452 )
& ( X1 != a1374
| X0 != a1452 )
& ( X1 != a1414
| X0 != a1452 )
& ( X1 != a1453
| X0 != a1452 )
& X0 != a1452
& ( X1 != a1489
| X0 != a1498 )
& ( X1 != a1379
| X0 != a1503 )
& ( X1 != a1358
| X0 != a1503 )
& ( X1 != a1489
| X0 != a1503 )
& ( X1 != a1358
| X0 != a1499 )
& ( X1 != a1523
| X0 != a1499 )
& ( X1 != a1459
| X0 != a1499 )
& ( X1 != a1489
| X0 != a1499 )
& ( X1 != a1373
| X0 != a1499 )
& ( X1 != a1480
| X0 != a1499 )
& ( X1 != a1324
| X0 != a1409 )
& ( X1 != a1379
| X0 != a1487 )
& ( X1 != a1489
| X0 != a1487 )
& ( X1 != a1488
| X0 != a1487 )
& ( X1 != a1410
| X0 != a1516 )
& ( X1 != a1373
| X0 != a1516 )
& ( X1 != a1492
| X0 != a1428 )
& X0 != a1428
& ( X1 != a1379
| X0 != a1350 )
& ( X1 != a1489
| X0 != a1350 )
& ( X1 != a1374
| X0 != a1424 )
& X0 != a1475 ) ) ) ).
%------ Positive definition of c4_2
fof(lit_def_044,axiom,
! [X0,X1] :
( c4_2(X0,X1)
<=> ( ( X0 != a1504
& X0 != a1363
& X0 != a1452
& X0 != a1498
& X0 != a1503
& X0 != a1409
& X0 != a1487
& X0 != a1516
& X0 != a1350
& X0 != a1424
& X0 != a1458
& X1 = a1358 )
| ( X0 != a1504
& X0 != a1363
& X0 != a1452
& X0 != a1498
& X0 != a1503
& X0 != a1409
& X0 != a1487
& X0 != a1516
& X0 != a1350
& X0 != a1424
& X0 != a1458
& X1 = a1373 )
| ( X1 = a1471
& X0 = a1470 )
| ( X1 = a1324
& X0 = a1504 )
| ( X1 = a1459
& X0 = a1346 )
| ( X1 = a1334
& X0 = a1333 )
| ( X1 = a1375
& X0 = a1333 )
| ( X1 = a1523
& X0 = a1363 )
| ( X1 = a1340
& X0 = a1363 )
| ( X1 = a1375
& X0 = a1363 )
| ( X1 = a1376
& X0 = a1363 )
| ( X1 = a1358
& X0 = a1452 )
| ( X1 = a1435
& X0 = a1452 )
| ( X1 = a1374
& X0 = a1452 )
| ( X1 = a1414
& X0 = a1452 )
| ( X1 = a1453
& X0 = a1452 )
| ( X1 = a1489
& X0 = a1498 )
| ( X1 = a1358
& X0 = a1499 )
| ( X1 = a1523
& X0 = a1499 )
| ( X1 = a1489
& X0 = a1499 )
| ( X1 = a1373
& X0 = a1499 )
| ( X1 = a1480
& X0 = a1499 )
| ( X1 = a1324
& X0 = a1409 )
| ( X1 = a1373
& X0 = a1436 )
| ( X1 != a1523
& X1 != a1505
& X1 != a1492
& X1 != a1340
& X1 != a1357
& X0 = a1442 )
| ( X1 = a1358
& X0 = a1487 )
| ( X1 = a1488
& X0 = a1487 )
| ( X1 = a1373
& X0 = a1516 )
| ( X1 = a1523
& X0 = a1428 )
| ( X1 = a1435
& X0 = a1428 )
| ( X1 = a1492
& X0 = a1428 )
| ( X1 = a1341
& X0 = a1428 )
| ( X1 = a1374
& X0 = a1428 )
| ( X1 = a1340
& X0 = a1428 )
| ( X1 = a1357
& X0 = a1428 )
| ( X1 = a1375
& X0 = a1428 )
| ( X1 = a1429
& X0 = a1428 )
| ( X1 != a1523
& X1 != a1505
& X1 != a1435
& X1 != a1492
& X1 != a1341
& X1 != a1340
& X1 != a1357
& X1 != a1375
& X0 = a1428 )
| ( X1 = a1373
& X0 = a1434 )
| ( X1 = a1324
& X0 = a1424 )
| ( X1 = a1374
& X0 = a1424 )
| ( X1 = a1324
& X0 = a1475 )
| ( X1 = a1340
& X0 = a1475 ) ) ) ).
%------ Positive definition of ssSkC31
fof(lit_def_045,axiom,
( ssSkC31
<=> $false ) ).
%------ Positive definition of ssSkC9
fof(lit_def_046,axiom,
( ssSkC9
<=> $true ) ).
%------ Positive definition of ssSkC34
fof(lit_def_047,axiom,
( ssSkC34
<=> $true ) ).
%------ Positive definition of ssSkC29
fof(lit_def_048,axiom,
( ssSkC29
<=> $false ) ).
%------ Positive definition of ssSkC25
fof(lit_def_049,axiom,
( ssSkC25
<=> $true ) ).
%------ Positive definition of ssSkC24
fof(lit_def_050,axiom,
( ssSkC24
<=> $true ) ).
%------ Positive definition of ssSkC11
fof(lit_def_051,axiom,
( ssSkC11
<=> $true ) ).
%------ Positive definition of ssSkC8
fof(lit_def_052,axiom,
( ssSkC8
<=> $true ) ).
%------ Positive definition of ssSkC10
fof(lit_def_053,axiom,
( ssSkC10
<=> $true ) ).
%------ Positive definition of ssSkC14
fof(lit_def_054,axiom,
( ssSkC14
<=> $true ) ).
%------ Positive definition of ssSkC28
fof(lit_def_055,axiom,
( ssSkC28
<=> $true ) ).
%------ Positive definition of ssSkC23
fof(lit_def_056,axiom,
( ssSkC23
<=> $true ) ).
%------ Positive definition of iPr_def_10
fof(lit_def_057,axiom,
( iPr_def_10
<=> $false ) ).
%------ Positive definition of iPr_def_11
fof(lit_def_058,axiom,
( iPr_def_11
<=> $true ) ).
%------ Positive definition of iPr_def_12
fof(lit_def_059,axiom,
( iPr_def_12
<=> $false ) ).
%------ Positive definition of iPr_def_13
fof(lit_def_060,axiom,
( iPr_def_13
<=> $true ) ).
%------ Positive definition of iPr_def_14
fof(lit_def_061,axiom,
( iPr_def_14
<=> $false ) ).
%------ Positive definition of iPr_def_15
fof(lit_def_062,axiom,
( iPr_def_15
<=> $false ) ).
%------ Positive definition of iPr_def_16
fof(lit_def_063,axiom,
( iPr_def_16
<=> $true ) ).
%------ Positive definition of iPr_def_17
fof(lit_def_064,axiom,
( iPr_def_17
<=> $false ) ).
%------ Positive definition of iPr_def_18
fof(lit_def_065,axiom,
( iPr_def_18
<=> $false ) ).
%------ Positive definition of iPr_def_19
fof(lit_def_066,axiom,
( iPr_def_19
<=> $false ) ).
%------ Positive definition of iPr_def_20
fof(lit_def_067,axiom,
( iPr_def_20
<=> $false ) ).
%------ Positive definition of iPr_def_21
fof(lit_def_068,axiom,
( iPr_def_21
<=> $true ) ).
%------ Positive definition of iPr_def_22
fof(lit_def_069,axiom,
( iPr_def_22
<=> $false ) ).
%------ Positive definition of iPr_def_23
fof(lit_def_070,axiom,
( iPr_def_23
<=> $true ) ).
%------ Positive definition of iPr_def_24
fof(lit_def_071,axiom,
( iPr_def_24
<=> $false ) ).
%------ Positive definition of iPr_def_25
fof(lit_def_072,axiom,
( iPr_def_25
<=> $true ) ).
%------ Positive definition of iPr_def_26
fof(lit_def_073,axiom,
( iPr_def_26
<=> $false ) ).
%------ Positive definition of iPr_def_27
fof(lit_def_074,axiom,
( iPr_def_27
<=> $true ) ).
%------ Positive definition of iPr_def_28
fof(lit_def_075,axiom,
( iPr_def_28
<=> $false ) ).
%------ Positive definition of iPr_def_29
fof(lit_def_076,axiom,
( iPr_def_29
<=> $false ) ).
%------ Positive definition of iPr_def_30
fof(lit_def_077,axiom,
( iPr_def_30
<=> $false ) ).
%------ Positive definition of iPr_def_31
fof(lit_def_078,axiom,
( iPr_def_31
<=> $false ) ).
%------ Positive definition of iPr_def_32
fof(lit_def_079,axiom,
( iPr_def_32
<=> $true ) ).
%------ Positive definition of iPr_def_33
fof(lit_def_080,axiom,
( iPr_def_33
<=> $false ) ).
%------ Positive definition of iPr_def_34
fof(lit_def_081,axiom,
( iPr_def_34
<=> $false ) ).
%------ Positive definition of iPr_def_35
fof(lit_def_082,axiom,
( iPr_def_35
<=> $false ) ).
%------ Positive definition of iPr_def_36
fof(lit_def_083,axiom,
( iPr_def_36
<=> $true ) ).
%------ Positive definition of iPr_def_37
fof(lit_def_084,axiom,
( iPr_def_37
<=> $true ) ).
%------ Positive definition of iPr_def_38
fof(lit_def_085,axiom,
( iPr_def_38
<=> $true ) ).
%------ Positive definition of iPr_def_39
fof(lit_def_086,axiom,
( iPr_def_39
<=> $false ) ).
%------ Positive definition of iPr_def_40
fof(lit_def_087,axiom,
( iPr_def_40
<=> $false ) ).
%------ Positive definition of iPr_def_41
fof(lit_def_088,axiom,
( iPr_def_41
<=> $true ) ).
%------ Positive definition of iPr_def_42
fof(lit_def_089,axiom,
( iPr_def_42
<=> $false ) ).
%------ Positive definition of iPr_def_43
fof(lit_def_090,axiom,
( iPr_def_43
<=> $true ) ).
%------ Positive definition of iPr_def_44
fof(lit_def_091,axiom,
( iPr_def_44
<=> $true ) ).
%------ Positive definition of iPr_def_45
fof(lit_def_092,axiom,
( iPr_def_45
<=> $false ) ).
%------ Positive definition of iPr_def_46
fof(lit_def_093,axiom,
( iPr_def_46
<=> $true ) ).
%------ Positive definition of iPr_def_47
fof(lit_def_094,axiom,
( iPr_def_47
<=> $false ) ).
%------ Positive definition of iPr_def_48
fof(lit_def_095,axiom,
( iPr_def_48
<=> $true ) ).
%------ Positive definition of iPr_def_49
fof(lit_def_096,axiom,
( iPr_def_49
<=> $false ) ).
%------ Positive definition of iPr_def_50
fof(lit_def_097,axiom,
( iPr_def_50
<=> $false ) ).
%------ Positive definition of iPr_def_51
fof(lit_def_098,axiom,
( iPr_def_51
<=> $false ) ).
%------ Positive definition of iPr_def_52
fof(lit_def_099,axiom,
( iPr_def_52
<=> $false ) ).
%------ Positive definition of iPr_def_53
fof(lit_def_100,axiom,
( iPr_def_53
<=> $false ) ).
%------ Positive definition of iPr_def_54
fof(lit_def_101,axiom,
( iPr_def_54
<=> $false ) ).
%------ Positive definition of iPr_def_55
fof(lit_def_102,axiom,
( iPr_def_55
<=> $false ) ).
%------ Positive definition of iPr_def_56
fof(lit_def_103,axiom,
( iPr_def_56
<=> $true ) ).
%------ Positive definition of iPr_def_57
fof(lit_def_104,axiom,
( iPr_def_57
<=> $true ) ).
%------ Positive definition of iPr_def_58
fof(lit_def_105,axiom,
( iPr_def_58
<=> $false ) ).
%------ Positive definition of iPr_def_59
fof(lit_def_106,axiom,
( iPr_def_59
<=> $true ) ).
%------ Positive definition of iPr_def_60
fof(lit_def_107,axiom,
( iPr_def_60
<=> $false ) ).
%------ Positive definition of iPr_def_61
fof(lit_def_108,axiom,
( iPr_def_61
<=> $true ) ).
%------ Positive definition of iPr_def_62
fof(lit_def_109,axiom,
( iPr_def_62
<=> $true ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN520-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 01:40:47 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running EPR theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 18.42/3.18 % SZS status Started for theBenchmark.p
% 18.42/3.18 % SZS status Satisfiable for theBenchmark.p
% 18.42/3.18
% 18.42/3.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.42/3.18
% 18.42/3.18 % ------ iProver source info
% 18.42/3.18
% 18.42/3.18 % git: date: 2026-07-19 20:42:38 +0200
% 18.42/3.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.42/3.18 % git: non_committed_changes: false
% 18.42/3.18
% 18.42/3.18 % ------ Parsing...% successful
% 18.42/3.18
% 18.42/3.18
% 18.42/3.18 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 18.42/3.18 %
% 18.42/3.18
% 18.42/3.18 % ------ Preprocessing... sf_s rm: 61 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 18.42/3.18
% 18.42/3.18 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 18.42/3.18 gs_s sp: 74 0s gs_e snvd_s sp: 0 0s snvd_e
% 18.42/3.18 % ------ Proving...
% 18.42/3.18 % ------ Problem Properties
% 18.42/3.18
% 18.42/3.18 %
% 18.42/3.18 % clauses 345
% 18.42/3.18 % conjectures 339
% 18.42/3.18 % EPR 345
% 18.42/3.18 % Horn 159
% 18.42/3.18 % unary 39
% 18.42/3.18 % binary 125
% 18.42/3.18 % lits 1107
% 18.42/3.18 % lits eq 0
% 18.42/3.18 % fd_pure 0
% 18.42/3.18 % fd_pseudo 0
% 18.42/3.18 % fd_cond 0
% 18.42/3.18 % fd_pseudo_cond 0
% 18.42/3.18 % AC symbols 0
% 18.42/3.18
% 18.42/3.18 % ------ Schedule EPR non Horn non eq is on
% 18.42/3.18
% 18.42/3.18 % ------ no equalities: superposition off
% 18.42/3.18
% 18.42/3.18 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 18.42/3.18
% 18.42/3.18
% 18.42/3.18 % ------
% 18.42/3.18 % Current options:
% 18.42/3.18 % ------
% 18.42/3.18
% 18.42/3.18
% 18.42/3.18 %
% 18.42/3.18
% 18.42/3.18 % ------ Proving...
% 18.42/3.18 %
% 18.42/3.18
% 18.42/3.18 % SZS status Satisfiable for theBenchmark.p
% 18.42/3.18
% 18.42/3.18 ------ Building Model...Done
% 18.42/3.18
% 18.42/3.18 %------ The model is defined over ground terms (initial term algebra).
% 18.42/3.18 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 18.42/3.18 %------ where \phi is a formula over the term algebra.
% 18.42/3.18 %------ If we have equality in the problem then it is also defined as a predicate above,
% 18.42/3.18 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 18.42/3.18 %------ See help for --sat_out_model for different model outputs.
% 18.42/3.18 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 18.42/3.18 %------ where the first argument stands for the sort ($i in the unsorted case)
% 18.42/3.18 % SZS output start Model for theBenchmark.p
% See solution above
% 18.42/3.19
%------------------------------------------------------------------------------