%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP053-1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 : Tue Sep 29 02:34:18 PM UTC 2026
% Result : Unsatisfiable 3.22s 1.12s
% Output : Refutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 19
% Syntax : Number of formulae : 149 ( 149 unt; 0 def)
% Number of atoms : 149 ( 148 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 17 ( 17 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-14 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle) ).
fof(f2,axiom,
! [X0,X1] : product(product(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_01) ).
fof(f3,axiom,
! [X2,X0,X1] : product(product(X0,X1),X2) = product(product(X0,X2),product(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_02) ).
fof(f4,axiom,
product(a1,a2) = a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot) ).
fof(f5,axiom,
product(a3,a4) = a5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_03) ).
fof(f6,axiom,
product(a5,a6) = a7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_04) ).
fof(f7,axiom,
product(a7,a3) = a8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_05) ).
fof(f8,axiom,
product(a8,a2) = a9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_06) ).
fof(f9,axiom,
product(a9,a1) = a10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_07) ).
fof(f10,axiom,
product(a10,a11) = a12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_08) ).
fof(f11,axiom,
product(a12,a3) = a13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_09) ).
fof(f12,axiom,
product(a13,a8) = a6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_10) ).
fof(f13,plain,
a6 = product(a13,a8),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
product(a6,a7) = a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_11) ).
fof(f15,plain,
a2 = product(a6,a7),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
product(a2,a12) = a14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_12) ).
fof(f17,axiom,
product(a14,a3) = a15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_13) ).
fof(f18,axiom,
product(a15,a8) = a4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_14) ).
fof(f19,plain,
a4 = product(a15,a8),
inference(reorient_equations,[],[f18]) ).
fof(f20,axiom,
product(a4,a7) = a11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_15) ).
fof(f21,plain,
a11 = product(a4,a7),
inference(reorient_equations,[],[f20]) ).
fof(f22,axiom,
product(a11,a10) = a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_16) ).
fof(f23,plain,
a1 = product(a11,a10),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f26,plain,
a1 = product(a3,a2),
inference(superposition,[],[f2,f4]) ).
fof(f27,plain,
a2 = product(a14,a12),
inference(superposition,[],[f2,f16]) ).
fof(f28,plain,
a3 = product(a5,a4),
inference(superposition,[],[f2,f5]) ).
fof(f30,plain,
a5 = product(a7,a6),
inference(superposition,[],[f2,f6]) ).
fof(f31,plain,
a6 = product(a2,a7),
inference(superposition,[],[f2,f15]) ).
fof(f32,plain,
a7 = product(a8,a3),
inference(superposition,[],[f2,f7]) ).
fof(f33,plain,
a8 = product(a9,a2),
inference(superposition,[],[f2,f8]) ).
fof(f34,plain,
a9 = product(a10,a1),
inference(superposition,[],[f2,f9]) ).
fof(f36,plain,
a11 = product(a1,a10),
inference(superposition,[],[f2,f23]) ).
fof(f48,plain,
! [X0,X1] : product(product(X0,X1),X0) = product(X0,product(X1,X0)),
inference(superposition,[],[f3,f1]) ).
fof(f51,plain,
! [X0] : product(product(a1,X0),a2) = product(a3,product(X0,a2)),
inference(superposition,[],[f3,f4]) ).
fof(f59,plain,
! [X0] : product(product(a6,X0),a7) = product(a2,product(X0,a7)),
inference(superposition,[],[f3,f15]) ).
fof(f62,plain,
! [X0] : product(product(a8,X0),a2) = product(a9,product(X0,a2)),
inference(superposition,[],[f3,f8]) ).
fof(f64,plain,
! [X0] : product(product(a9,X0),a1) = product(a10,product(X0,a1)),
inference(superposition,[],[f3,f9]) ).
fof(f68,plain,
! [X0] : product(product(a12,X0),a3) = product(a13,product(X0,a3)),
inference(superposition,[],[f3,f11]) ).
fof(f69,plain,
! [X0] : product(product(a13,X0),a8) = product(a6,product(X0,a8)),
inference(superposition,[],[f3,f13]) ).
fof(f70,plain,
! [X0] : product(product(a14,X0),a3) = product(a15,product(X0,a3)),
inference(superposition,[],[f3,f17]) ).
fof(f72,plain,
! [X0] : product(product(a15,X0),a8) = product(a4,product(X0,a8)),
inference(superposition,[],[f3,f19]) ).
fof(f75,plain,
! [X0] : product(product(X0,a1),a2) = product(product(X0,a2),a3),
inference(superposition,[],[f3,f4]) ).
fof(f129,plain,
product(a1,product(a10,a1)) = product(a11,a1),
inference(superposition,[],[f48,f36]) ).
fof(f143,plain,
product(a8,product(a3,a8)) = product(a7,a8),
inference(superposition,[],[f48,f32]) ).
fof(f144,plain,
product(a9,product(a1,a9)) = product(a10,a9),
inference(superposition,[],[f48,f9]) ).
fof(f146,plain,
product(a10,product(a11,a10)) = product(a12,a10),
inference(superposition,[],[f48,f10]) ).
fof(f147,plain,
product(a10,product(a1,a10)) = product(a9,a10),
inference(superposition,[],[f48,f34]) ).
fof(f148,plain,
product(a11,product(a10,a11)) = product(a1,a11),
inference(superposition,[],[f48,f23]) ).
fof(f170,plain,
product(a1,a11) = product(a11,a12),
inference(forward_demodulation,[],[f148,f10]) ).
fof(f171,plain,
product(a10,a11) = product(a9,a10),
inference(forward_demodulation,[],[f147,f36]) ).
fof(f172,plain,
product(a10,a1) = product(a12,a10),
inference(forward_demodulation,[],[f146,f23]) ).
fof(f175,plain,
product(a11,a1) = product(a1,a9),
inference(forward_demodulation,[],[f129,f34]) ).
fof(f177,plain,
a12 = product(a9,a10),
inference(forward_demodulation,[],[f171,f10]) ).
fof(f178,plain,
a9 = product(a12,a10),
inference(forward_demodulation,[],[f172,f34]) ).
fof(f208,plain,
product(a3,product(a10,a2)) = product(a11,a2),
inference(superposition,[],[f51,f36]) ).
fof(f220,plain,
product(a3,product(a9,a2)) = product(product(a11,a1),a2),
inference(superposition,[],[f51,f175]) ).
fof(f226,plain,
product(a3,a8) = product(product(a11,a1),a2),
inference(forward_demodulation,[],[f220,f33]) ).
fof(f381,plain,
product(a10,a9) = product(a9,product(a11,a1)),
inference(forward_demodulation,[],[f144,f175]) ).
fof(f596,plain,
product(a11,a1) = product(product(a3,a8),a2),
inference(superposition,[],[f2,f226]) ).
fof(f663,plain,
product(a7,a2) = product(a9,product(a3,a2)),
inference(superposition,[],[f62,f32]) ).
fof(f665,plain,
product(a9,product(product(a3,a8),a2)) = product(product(a7,a8),a2),
inference(superposition,[],[f62,f143]) ).
fof(f677,plain,
product(a9,product(a11,a1)) = product(product(a7,a8),a2),
inference(forward_demodulation,[],[f665,f596]) ).
fof(f679,plain,
product(a9,a1) = product(a7,a2),
inference(forward_demodulation,[],[f663,f26]) ).
fof(f680,plain,
product(a10,a9) = product(product(a7,a8),a2),
inference(forward_demodulation,[],[f677,f381]) ).
fof(f682,plain,
a10 = product(a7,a2),
inference(forward_demodulation,[],[f679,f9]) ).
fof(f687,plain,
product(a7,product(a2,a7)) = product(a10,a7),
inference(superposition,[],[f48,f682]) ).
fof(f690,plain,
a7 = product(a10,a2),
inference(superposition,[],[f2,f682]) ).
fof(f691,plain,
product(a7,a6) = product(a10,a7),
inference(forward_demodulation,[],[f687,f31]) ).
fof(f692,plain,
a5 = product(a10,a7),
inference(forward_demodulation,[],[f691,f30]) ).
fof(f693,plain,
product(a3,a7) = product(a11,a2),
inference(superposition,[],[f208,f690]) ).
fof(f701,plain,
a10 = product(a5,a7),
inference(superposition,[],[f2,f692]) ).
fof(f725,plain,
a11 = product(product(a3,a7),a2),
inference(superposition,[],[f2,f693]) ).
fof(f731,plain,
product(a10,product(a10,a1)) = product(a12,a1),
inference(superposition,[],[f64,f177]) ).
fof(f742,plain,
product(a10,a9) = product(a12,a1),
inference(forward_demodulation,[],[f731,f34]) ).
fof(f797,plain,
product(a7,a8) = product(product(a10,a9),a2),
inference(superposition,[],[f2,f680]) ).
fof(f976,plain,
product(a2,a3) = product(a15,product(a12,a3)),
inference(superposition,[],[f70,f27]) ).
fof(f993,plain,
product(a2,a3) = product(a15,a13),
inference(forward_demodulation,[],[f976,f11]) ).
fof(f1015,plain,
product(product(a2,a3),a8) = product(a4,product(a13,a8)),
inference(superposition,[],[f72,f993]) ).
fof(f1026,plain,
product(a4,a6) = product(product(a2,a3),a8),
inference(forward_demodulation,[],[f1015,f13]) ).
fof(f1056,plain,
product(product(a10,a9),a2) = product(product(a12,a2),a3),
inference(superposition,[],[f75,f742]) ).
fof(f1075,plain,
product(product(a10,a9),a2) = product(a13,product(a2,a3)),
inference(forward_demodulation,[],[f1056,f68]) ).
fof(f1084,plain,
product(a7,a8) = product(a13,product(a2,a3)),
inference(forward_demodulation,[],[f1075,f797]) ).
fof(f1115,plain,
product(product(a7,a8),a8) = product(a6,product(product(a2,a3),a8)),
inference(superposition,[],[f69,f1084]) ).
fof(f1121,plain,
product(product(a7,a8),a8) = product(a6,product(a4,a6)),
inference(forward_demodulation,[],[f1115,f1026]) ).
fof(f1122,plain,
a7 = product(a6,product(a4,a6)),
inference(forward_demodulation,[],[f1121,f2]) ).
fof(f1124,plain,
product(a7,a6) = product(a6,product(product(a4,a6),a6)),
inference(superposition,[],[f48,f1122]) ).
fof(f1129,plain,
product(a7,a6) = product(a6,a4),
inference(forward_demodulation,[],[f1124,f2]) ).
fof(f1131,plain,
a5 = product(a6,a4),
inference(forward_demodulation,[],[f1129,f30]) ).
fof(f1135,plain,
product(a5,a7) = product(a2,product(a4,a7)),
inference(superposition,[],[f59,f1131]) ).
fof(f1139,plain,
a6 = product(a5,a4),
inference(superposition,[],[f2,f1131]) ).
fof(f1140,plain,
a3 = a6,
inference(forward_demodulation,[],[f1139,f28]) ).
fof(f1142,plain,
product(a5,a7) = product(a2,a11),
inference(forward_demodulation,[],[f1135,f21]) ).
fof(f1143,plain,
a10 = product(a2,a11),
inference(forward_demodulation,[],[f1142,f701]) ).
fof(f1172,plain,
a2 = product(a3,a7),
inference(superposition,[],[f15,f1140]) ).
fof(f1173,plain,
tuple(a1,a2,a3,a4,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(superposition,[],[f24,f1140]) ).
fof(f1174,plain,
a5 = product(a7,a3),
inference(superposition,[],[f30,f1140]) ).
fof(f1209,plain,
a5 = a8,
inference(forward_demodulation,[],[f1174,f7]) ).
fof(f1248,plain,
tuple(a1,a2,a3,a4,a8,a3,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a8,a3,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(forward_demodulation,[],[f1173,f1209]) ).
fof(f1260,plain,
a11 = product(a2,a2),
inference(superposition,[],[f725,f1172]) ).
fof(f1270,plain,
a2 = a11,
inference(forward_demodulation,[],[f1260,f1]) ).
fof(f1271,plain,
a12 = product(a10,a2),
inference(superposition,[],[f10,f1270]) ).
fof(f1280,plain,
product(a1,a2) = product(a2,a12),
inference(superposition,[],[f170,f1270]) ).
fof(f1292,plain,
a10 = product(a2,a2),
inference(superposition,[],[f1143,f1270]) ).
fof(f1294,plain,
a2 = a10,
inference(forward_demodulation,[],[f1292,f1]) ).
fof(f1302,plain,
product(a1,a2) = a14,
inference(forward_demodulation,[],[f1280,f16]) ).
fof(f1306,plain,
a7 = a12,
inference(forward_demodulation,[],[f1271,f690]) ).
fof(f1310,plain,
a3 = a14,
inference(forward_demodulation,[],[f1302,f4]) ).
fof(f1314,plain,
a1 = product(a11,a2),
inference(superposition,[],[f23,f1294]) ).
fof(f1317,plain,
product(a1,a2) = a11,
inference(superposition,[],[f36,f1294]) ).
fof(f1320,plain,
a12 = product(a9,a2),
inference(superposition,[],[f177,f1294]) ).
fof(f1327,plain,
a7 = product(a2,a2),
inference(superposition,[],[f690,f1294]) ).
fof(f1350,plain,
a2 = a7,
inference(forward_demodulation,[],[f1327,f1]) ).
fof(f1356,plain,
a8 = a12,
inference(forward_demodulation,[],[f1320,f33]) ).
fof(f1359,plain,
a2 = product(a1,a2),
inference(forward_demodulation,[],[f1317,f1270]) ).
fof(f1361,plain,
a1 = product(a2,a2),
inference(forward_demodulation,[],[f1314,f1270]) ).
fof(f1375,plain,
a2 = a3,
inference(forward_demodulation,[],[f1359,f4]) ).
fof(f1377,plain,
a1 = a2,
inference(forward_demodulation,[],[f1361,f1]) ).
fof(f1389,plain,
product(a7,a3) = a13,
inference(superposition,[],[f11,f1306]) ).
fof(f1401,plain,
a9 = product(a7,a10),
inference(superposition,[],[f178,f1306]) ).
fof(f1417,plain,
a9 = product(a7,a2),
inference(forward_demodulation,[],[f1401,f1294]) ).
fof(f1425,plain,
a8 = a13,
inference(forward_demodulation,[],[f1389,f7]) ).
fof(f1432,plain,
a9 = a10,
inference(forward_demodulation,[],[f1417,f682]) ).
fof(f1438,plain,
a2 = a9,
inference(forward_demodulation,[],[f1432,f1294]) ).
fof(f1447,plain,
a15 = product(a3,a3),
inference(superposition,[],[f17,f1310]) ).
fof(f1468,plain,
a3 = a15,
inference(forward_demodulation,[],[f1447,f1]) ).
fof(f1620,plain,
a7 = a8,
inference(forward_demodulation,[],[f1356,f1306]) ).
fof(f1621,plain,
a2 = a8,
inference(forward_demodulation,[],[f1620,f1350]) ).
fof(f1913,plain,
a1 = a3,
inference(forward_demodulation,[],[f1377,f1375]) ).
fof(f1981,plain,
a3 = a9,
inference(forward_demodulation,[],[f1438,f1375]) ).
fof(f2006,plain,
a3 = a8,
inference(forward_demodulation,[],[f1621,f1375]) ).
fof(f2320,plain,
a4 = product(a15,a3),
inference(superposition,[],[f19,f2006]) ).
fof(f2377,plain,
a4 = product(a3,a3),
inference(forward_demodulation,[],[f2320,f1468]) ).
fof(f2406,plain,
a3 = a4,
inference(forward_demodulation,[],[f2377,f1]) ).
fof(f3199,plain,
tuple(a1,a2,a3,a3,a8,a3,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a3,a8,a3,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(superposition,[],[f1248,f2406]) ).
fof(f3201,plain,
tuple(a1,a2,a3,a3,a8,a3,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a3,a8,a3,a7,a8,a9,a10,a11,a12,a13,a14,a3),
inference(forward_demodulation,[],[f3199,f1468]) ).
fof(f3222,plain,
tuple(a1,a2,a3,a3,a8,a3,a7,a8,a9,a10,a11,a12,a13,a3) != tuple(a2,a3,a3,a8,a3,a7,a8,a9,a10,a11,a12,a13,a3,a3),
inference(forward_demodulation,[],[f3201,f1310]) ).
fof(f3241,plain,
tuple(a1,a2,a3,a3,a8,a3,a7,a8,a9,a10,a11,a12,a8,a3) != tuple(a2,a3,a3,a8,a3,a7,a8,a9,a10,a11,a12,a8,a3,a3),
inference(forward_demodulation,[],[f3222,f1425]) ).
fof(f3256,plain,
tuple(a1,a2,a3,a3,a3,a3,a7,a3,a9,a10,a11,a12,a3,a3) != tuple(a2,a3,a3,a3,a3,a7,a3,a9,a10,a11,a12,a3,a3,a3),
inference(forward_demodulation,[],[f3241,f2006]) ).
fof(f3268,plain,
tuple(a1,a2,a3,a3,a3,a3,a7,a3,a9,a10,a11,a7,a3,a3) != tuple(a2,a3,a3,a3,a3,a7,a3,a9,a10,a11,a7,a3,a3,a3),
inference(forward_demodulation,[],[f3256,f1306]) ).
fof(f3274,plain,
tuple(a1,a2,a3,a3,a3,a3,a2,a3,a9,a10,a11,a2,a3,a3) != tuple(a2,a3,a3,a3,a3,a2,a3,a9,a10,a11,a2,a3,a3,a3),
inference(forward_demodulation,[],[f3268,f1350]) ).
fof(f3278,plain,
tuple(a1,a3,a3,a3,a3,a3,a3,a3,a9,a10,a11,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a9,a10,a11,a3,a3,a3,a3),
inference(forward_demodulation,[],[f3274,f1375]) ).
fof(f3280,plain,
tuple(a1,a3,a3,a3,a3,a3,a3,a3,a9,a10,a2,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a9,a10,a2,a3,a3,a3,a3),
inference(forward_demodulation,[],[f3278,f1270]) ).
fof(f3282,plain,
tuple(a1,a3,a3,a3,a3,a3,a3,a3,a9,a10,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a9,a10,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f3280,f1375]) ).
fof(f3284,plain,
tuple(a1,a3,a3,a3,a3,a3,a3,a3,a9,a2,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a9,a2,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f3282,f1294]) ).
fof(f3286,plain,
tuple(a1,a3,a3,a3,a3,a3,a3,a3,a9,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a9,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f3284,f1375]) ).
fof(f3288,plain,
tuple(a1,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f3286,f1981]) ).
fof(f3290,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f3288,f1913]) ).
fof(f3291,plain,
$false,
inference(trivial_inequality_removal,[],[f3290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP053-1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n007.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 19:06:16 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.22/1.12 % (2719249)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.22/1.12 % (2719258)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=881756871:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.22/1.12 % (2719258)Refutation not found, incomplete strategy
% 3.22/1.12 % (2719258)------------------------------
% 3.22/1.12 % (2719258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.12 % (2719258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.12 % (2719258)CaDiCaL version: 2.1.3
% 3.22/1.12 % (2719258)Termination reason: Refutation not found, incomplete strategy
% 3.22/1.12 % (2719258)Time elapsed: 0.001 s
% 3.22/1.12 % (2719258)Peak memory usage: 88 MB
% 3.22/1.12 % (2719258)Instructions burned: 2 (million)
% 3.22/1.12 % (2719256)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3266325933:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.22/1.12 % (2719257)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1867192455:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.22/1.12 % (2719259)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1085050521:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.22/1.12 % (2719254)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3555723234:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.22/1.12 % (2719260)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1973275546:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.22/1.12 % (2719255)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4123788131:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.22/1.12 % (2719260)First to succeed.
% 3.22/1.12 % (2719260)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2719249"
% 3.22/1.12 % (2719257)Instruction limit reached!
% 3.22/1.12 % (2719257)------------------------------
% 3.22/1.12 % (2719257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.12 % (2719257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.12 % (2719257)CaDiCaL version: 2.1.3
% 3.22/1.12 % (2719257)Termination reason: Instruction limit
% 3.22/1.12 % (2719257)Termination phase: Saturation
% 3.22/1.12 % (2719257)Time elapsed: 0.078 s
% 3.22/1.12 % (2719257)Peak memory usage: 88 MB
% 3.22/1.12 % (2719257)Instructions burned: 136 (million)
% 3.22/1.12 % (2719258)------------------------------
% 3.22/1.12 % (2719258)------------------------------
% 3.22/1.12 % (2719259)Instruction limit reached!
% 3.22/1.12 % (2719259)------------------------------
% 3.22/1.12 % (2719259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.12 % (2719259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.12 % (2719259)CaDiCaL version: 2.1.3
% 3.22/1.12 % (2719259)Termination reason: Instruction limit
% 3.22/1.12 % (2719259)Termination phase: Saturation
% 3.22/1.12 % (2719259)Time elapsed: 0.165 s
% 3.22/1.12 % (2719259)Peak memory usage: 90 MB
% 3.22/1.12 % (2719259)Instructions burned: 257 (million)
% 3.22/1.12 % (2719268)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3470149068:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 3.22/1.12 % (2719269)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3366782655:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 3.22/1.12 % (2719260)Refutation found. Thanks to Tanya!
% 3.22/1.12 % SZS status Unsatisfiable for theBenchmark
% 3.22/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 4.06/1.31 % (2719260)------------------------------
% 4.06/1.31 % (2719260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.31 % (2719260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.31 % (2719260)CaDiCaL version: 2.1.3
% 4.06/1.31 % (2719260)Termination reason: Refutation
% 4.06/1.31 % (2719260)Time elapsed: 0.049 s
% 4.06/1.31 % (2719260)Peak memory usage: 89 MB
% 4.06/1.31 % (2719260)Instructions burned: 95 (million)
% 4.06/1.31 % (2719260)------------------------------
% 4.06/1.31 % (2719260)------------------------------
% 4.06/1.31 % (2719249)Success in time 0.48 s
% 4.06/1.31 % Vampire exiting
%------------------------------------------------------------------------------