%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG028-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:35:12 PM UTC 2026
% Result : Unsatisfiable 16.40s 3.20s
% Output : Refutation 16.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of formulae : 77 ( 74 unt; 0 def)
% Number of atoms : 80 ( 79 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 20 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 170 ( 170 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_identity) ).
fof(f6,axiom,
! [X0] : add(additive_inverse(X0),X0) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_inverse) ).
fof(f7,plain,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0,X1] : additive_inverse(add(X0,X1)) = add(additive_inverse(X0),additive_inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_of_inverses) ).
fof(f10,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_over_add1) ).
fof(f13,axiom,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_alternative) ).
fof(f15,axiom,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_product2) ).
fof(f16,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
inference(reorient_equations,[],[f15]) ).
fof(f19,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_for_addition) ).
fof(f20,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_for_addition) ).
fof(f21,axiom,
! [X2,X0,X1] :
( add(X0,X1) != add(X2,X1)
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_cancellation_for_addition) ).
fof(f22,axiom,
! [X2,X0,X1] :
( add(X0,X1) != add(X0,X2)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_cancellation_for_addition) ).
fof(f23,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associator) ).
fof(f24,axiom,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',middle_law) ).
fof(f25,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = additive_inverse(associator(X1,X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associator_skew_symmetry1) ).
fof(f26,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = additive_inverse(associator(X2,X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associator_skew_symmetry2) ).
fof(f27,negated_conjecture,
multiply(multiply(cx,multiply(cy,cx)),cz) != multiply(cx,multiply(cy,multiply(cx,cz))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_moufang) ).
fof(f28,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(forward_demodulation,[],[f7,f19]) ).
fof(f29,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = add(additive_inverse(multiply(X0,multiply(X1,X2))),multiply(multiply(X0,X1),X2)),
inference(forward_demodulation,[],[f23,f19]) ).
fof(f93,plain,
! [X0,X1] :
( additive_identity != add(X1,additive_inverse(X0))
| X0 = X1 ),
inference(superposition,[],[f21,f28]) ).
fof(f98,plain,
! [X0] : add(X0,multiply(multiply(cx,multiply(cy,cx)),cz)) != add(X0,multiply(cx,multiply(cy,multiply(cx,cz)))),
inference(unit_resulting_resolution,[],[f22,f27]) ).
fof(f129,plain,
! [X2,X3,X0,X1] : additive_inverse(multiply(X0,associator(X1,X2,X3))) = multiply(X0,associator(X2,X1,X3)),
inference(superposition,[],[f16,f25]) ).
fof(f131,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X1,X2),associator(X1,X0,X2)),
inference(superposition,[],[f28,f25]) ).
fof(f144,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X1,X2,X0),
inference(superposition,[],[f25,f26]) ).
fof(f162,plain,
! [X0,X1] : add(X0,add(X1,multiply(multiply(cx,multiply(cy,cx)),cz))) != add(X0,add(X1,multiply(cx,multiply(cy,multiply(cx,cz))))),
inference(unit_resulting_resolution,[],[f22,f98]) ).
fof(f214,plain,
! [X0,X1] : add(additive_identity,X1) = add(X0,add(additive_inverse(X0),X1)),
inference(superposition,[],[f20,f28]) ).
fof(f224,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X1,add(X2,X0)),
inference(superposition,[],[f19,f20]) ).
fof(f234,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f214,f1]) ).
fof(f468,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))),multiply(multiply(multiply(X0,X0),X1),X2)),
inference(superposition,[],[f29,f13]) ).
fof(f472,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X0,X2) = add(additive_inverse(multiply(multiply(X0,X1),multiply(X0,X2))),multiply(multiply(X0,multiply(X1,X0)),X2)),
inference(superposition,[],[f29,f24]) ).
fof(f493,plain,
! [X2,X0,X1] : add(additive_inverse(multiply(multiply(X0,X1),multiply(X0,X2))),multiply(multiply(X0,multiply(X1,X0)),X2)) = associator(X0,X2,multiply(X0,X1)),
inference(forward_demodulation,[],[f472,f144]) ).
fof(f497,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))),multiply(multiply(X0,multiply(X0,X1)),X2)),
inference(forward_demodulation,[],[f468,f13]) ).
fof(f594,plain,
! [X0] : add(X0,add(additive_inverse(multiply(cx,multiply(multiply(cy,cx),cz))),multiply(cx,multiply(cy,multiply(cx,cz))))) != add(X0,associator(cx,multiply(cy,cx),cz)),
inference(superposition,[],[f162,f29]) ).
fof(f603,plain,
! [X0] : add(X0,associator(cx,multiply(cy,cx),cz)) != add(X0,add(multiply(cx,multiply(cy,multiply(cx,cz))),additive_inverse(multiply(cx,multiply(multiply(cy,cx),cz))))),
inference(forward_demodulation,[],[f594,f19]) ).
fof(f791,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = add(multiply(X1,multiply(X2,X0)),associator(X1,X2,X0)),
inference(superposition,[],[f234,f29]) ).
fof(f793,plain,
! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1,
inference(superposition,[],[f234,f19]) ).
fof(f820,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = add(associator(X1,X2,X0),multiply(X1,multiply(X2,X0))),
inference(forward_demodulation,[],[f791,f19]) ).
fof(f855,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(additive_inverse(multiply(multiply(X0,X1),multiply(X0,X2))),add(associator(X0,multiply(X1,X0),X2),multiply(X0,multiply(multiply(X1,X0),X2)))),
inference(backward_demodulation,[],[f493,f820]) ).
fof(f856,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))),add(associator(X0,multiply(X0,X1),X2),multiply(X0,multiply(multiply(X0,X1),X2)))),
inference(backward_demodulation,[],[f497,f820]) ).
fof(f900,plain,
! [X0] : add(X0,associator(cx,multiply(cy,cx),cz)) != add(X0,add(multiply(cx,multiply(cy,multiply(cx,cz))),additive_inverse(multiply(cx,add(associator(cy,cx,cz),multiply(cy,multiply(cx,cz))))))),
inference(backward_demodulation,[],[f603,f820]) ).
fof(f904,plain,
! [X0] : add(X0,associator(cx,multiply(cy,cx),cz)) != add(X0,add(multiply(cx,multiply(cy,multiply(cx,cz))),additive_inverse(add(multiply(cx,associator(cy,cx,cz)),multiply(cx,multiply(cy,multiply(cx,cz))))))),
inference(forward_demodulation,[],[f900,f10]) ).
fof(f947,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))),add(associator(X0,multiply(X0,X1),X2),multiply(X0,add(associator(X0,X1,X2),multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f856,f820]) ).
fof(f948,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(additive_inverse(multiply(multiply(X0,X1),multiply(X0,X2))),add(associator(X0,multiply(X1,X0),X2),multiply(X0,add(associator(X1,X0,X2),multiply(X1,multiply(X0,X2)))))),
inference(forward_demodulation,[],[f855,f820]) ).
fof(f977,plain,
! [X0] : add(X0,associator(cx,multiply(cy,cx),cz)) != add(X0,add(multiply(cx,multiply(cy,multiply(cx,cz))),add(additive_inverse(multiply(cx,associator(cy,cx,cz))),additive_inverse(multiply(cx,multiply(cy,multiply(cx,cz))))))),
inference(forward_demodulation,[],[f904,f8]) ).
fof(f1020,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))),add(associator(X0,multiply(X0,X1),X2),add(multiply(X0,associator(X0,X1,X2)),multiply(X0,multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f947,f10]) ).
fof(f1021,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(add(associator(X0,multiply(X1,X0),X2),multiply(X0,add(associator(X1,X0,X2),multiply(X1,multiply(X0,X2))))),additive_inverse(multiply(multiply(X0,X1),multiply(X0,X2)))),
inference(forward_demodulation,[],[f948,f19]) ).
fof(f1046,plain,
! [X0] : add(X0,associator(cx,multiply(cy,cx),cz)) != add(X0,additive_inverse(multiply(cx,associator(cy,cx,cz)))),
inference(forward_demodulation,[],[f977,f793]) ).
fof(f1089,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(add(associator(X0,multiply(X0,X1),X2),add(multiply(X0,associator(X0,X1,X2)),multiply(X0,multiply(X0,multiply(X1,X2))))),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2))))),
inference(forward_demodulation,[],[f1020,f19]) ).
fof(f1090,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),add(multiply(X0,add(associator(X1,X0,X2),multiply(X1,multiply(X0,X2)))),additive_inverse(multiply(multiply(X0,X1),multiply(X0,X2))))),
inference(forward_demodulation,[],[f1021,f20]) ).
fof(f1106,plain,
! [X0] : add(X0,associator(cx,multiply(cy,cx),cz)) != add(X0,multiply(cx,associator(cx,cy,cz))),
inference(forward_demodulation,[],[f1046,f129]) ).
fof(f1136,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),add(add(multiply(X0,associator(X0,X1,X2)),multiply(X0,multiply(X0,multiply(X1,X2)))),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f1089,f20]) ).
fof(f1137,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),add(multiply(X0,add(associator(X1,X0,X2),multiply(X1,multiply(X0,X2)))),additive_inverse(add(associator(X0,X1,multiply(X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2))))))),
inference(forward_demodulation,[],[f1090,f820]) ).
fof(f1180,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),add(multiply(X0,associator(X0,X1,X2)),add(multiply(X0,multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f1136,f20]) ).
fof(f1181,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(additive_inverse(add(associator(X0,X1,multiply(X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2))))),add(associator(X0,multiply(X1,X0),X2),multiply(X0,add(associator(X1,X0,X2),multiply(X1,multiply(X0,X2)))))),
inference(forward_demodulation,[],[f1137,f224]) ).
fof(f1204,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),add(multiply(X0,associator(X0,X1,X2)),additive_identity)),
inference(forward_demodulation,[],[f1180,f28]) ).
fof(f1205,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(additive_inverse(add(associator(X0,X1,multiply(X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2))))),add(associator(X0,multiply(X1,X0),X2),add(multiply(X0,associator(X1,X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2)))))),
inference(forward_demodulation,[],[f1181,f10]) ).
fof(f1225,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(additive_identity,add(associator(X0,multiply(X0,X1),X2),multiply(X0,associator(X0,X1,X2)))),
inference(forward_demodulation,[],[f1204,f224]) ).
fof(f1226,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(add(associator(X0,multiply(X1,X0),X2),add(multiply(X0,associator(X1,X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2))))),additive_inverse(add(associator(X0,X1,multiply(X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2)))))),
inference(forward_demodulation,[],[f1205,f19]) ).
fof(f1245,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),multiply(X0,associator(X0,X1,X2))),
inference(forward_demodulation,[],[f1225,f1]) ).
fof(f1246,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),add(add(multiply(X0,associator(X1,X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2)))),additive_inverse(add(associator(X0,X1,multiply(X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2))))))),
inference(forward_demodulation,[],[f1226,f20]) ).
fof(f1257,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),add(multiply(X0,associator(X1,X0,X2)),add(multiply(X0,multiply(X1,multiply(X0,X2))),additive_inverse(add(associator(X0,X1,multiply(X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2)))))))),
inference(forward_demodulation,[],[f1246,f20]) ).
fof(f1268,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),add(multiply(X0,associator(X1,X0,X2)),add(multiply(X0,multiply(X1,multiply(X0,X2))),add(additive_inverse(associator(X0,X1,multiply(X0,X2))),additive_inverse(multiply(X0,multiply(X1,multiply(X0,X2)))))))),
inference(forward_demodulation,[],[f1257,f8]) ).
fof(f1275,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),add(multiply(X0,associator(X1,X0,X2)),additive_inverse(associator(X0,X1,multiply(X0,X2))))),
inference(forward_demodulation,[],[f1268,f793]) ).
fof(f1279,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),add(additive_inverse(associator(X0,X1,multiply(X0,X2))),multiply(X0,associator(X1,X0,X2)))),
inference(forward_demodulation,[],[f1275,f19]) ).
fof(f1283,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),add(associator(multiply(X0,X2),X1,X0),multiply(X0,associator(X1,X0,X2)))),
inference(forward_demodulation,[],[f1279,f26]) ).
fof(f1287,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),add(associator(X0,multiply(X0,X2),X1),multiply(X0,associator(X1,X0,X2)))),
inference(forward_demodulation,[],[f1283,f144]) ).
fof(f1726,plain,
! [X2,X0,X1] : additive_identity = add(associator(X1,X2,X0),associator(X1,X0,X2)),
inference(superposition,[],[f131,f144]) ).
fof(f3266,plain,
! [X2,X0,X1] : associator(multiply(X1,X1),X2,X0) = add(associator(X1,multiply(X1,X2),X0),multiply(X1,associator(X0,X1,X2))),
inference(superposition,[],[f1245,f144]) ).
fof(f3272,plain,
associator(multiply(cx,cx),cy,cz) != add(associator(cx,multiply(cx,cy),cz),associator(cx,multiply(cy,cx),cz)),
inference(superposition,[],[f1106,f1245]) ).
fof(f3307,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),associator(multiply(X0,X0),X2,X1)),
inference(backward_demodulation,[],[f1287,f3266]) ).
fof(f3384,plain,
additive_identity != add(add(associator(cx,multiply(cx,cy),cz),associator(cx,multiply(cy,cx),cz)),additive_inverse(associator(multiply(cx,cx),cy,cz))),
inference(unit_resulting_resolution,[],[f93,f3272]) ).
fof(f3394,plain,
additive_identity != add(associator(cx,multiply(cx,cy),cz),add(associator(cx,multiply(cy,cx),cz),additive_inverse(associator(multiply(cx,cx),cy,cz)))),
inference(forward_demodulation,[],[f3384,f20]) ).
fof(f3398,plain,
additive_identity != add(associator(cx,multiply(cx,cy),cz),add(associator(cx,multiply(cy,cx),cz),associator(cz,cy,multiply(cx,cx)))),
inference(forward_demodulation,[],[f3394,f26]) ).
fof(f3400,plain,
additive_identity != add(associator(cx,multiply(cx,cy),cz),add(associator(cx,multiply(cy,cx),cz),associator(cy,multiply(cx,cx),cz))),
inference(forward_demodulation,[],[f3398,f144]) ).
fof(f3402,plain,
additive_identity != add(associator(cx,multiply(cx,cy),cz),add(associator(cx,multiply(cy,cx),cz),associator(multiply(cx,cx),cz,cy))),
inference(forward_demodulation,[],[f3400,f144]) ).
fof(f3404,plain,
additive_identity != add(associator(cx,multiply(cx,cy),cz),associator(cx,cz,multiply(cx,cy))),
inference(forward_demodulation,[],[f3402,f3307]) ).
fof(f3406,plain,
$false,
inference(forward_subsumption_resolution,[],[f3404,f1726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG028-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n009.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 23:00:00 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 15.68/3.12 % (2504637)Input is clausal, will run a generic CNF schedule.
% 15.68/3.12 % (2504716)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2828062423:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 15.68/3.12 % (2504709)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2651109613:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 15.68/3.12 % (2504715)lrs+10_1_sil=8000:sp=occurrence:random_seed=682817774:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 15.68/3.12 % (2504712)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=538856425:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 15.68/3.12 % (2504717)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2923862606:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 15.68/3.12 % (2504718)dis-21_1_sil=8000:lcm=predicate:random_seed=3120908098:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 15.68/3.12 % (2504716)Instruction limit reached!
% 15.68/3.12 % (2504716)------------------------------
% 15.68/3.12 % (2504716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/3.12 % (2504716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/3.12 % (2504716)CaDiCaL version: 2.1.3
% 15.68/3.12 % (2504716)Termination reason: Instruction limit
% 15.68/3.12 % (2504716)Termination phase: Saturation
% 15.68/3.12 % (2504716)Time elapsed: 0.037 s
% 15.68/3.12 % (2504716)Peak memory usage: 89 MB
% 15.68/3.12 % (2504716)Instructions burned: 116 (million)
% 15.68/3.12 % (2504718)Refutation not found, incomplete strategy
% 15.68/3.12 % (2504718)------------------------------
% 15.68/3.12 % (2504718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/3.12 % (2504718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/3.12 % (2504718)CaDiCaL version: 2.1.3
% 15.68/3.12 % (2504718)Termination reason: Refutation not found, incomplete strategy
% 15.68/3.12 % (2504718)Time elapsed: 0.002 s
% 15.68/3.12 % (2504718)Peak memory usage: 88 MB
% 15.68/3.12 % (2504718)Instructions burned: 1 (million)
% 15.68/3.12 % (2504715)Instruction limit reached!
% 15.68/3.12 % (2504715)------------------------------
% 15.68/3.12 % (2504715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/3.12 % (2504715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/3.12 % (2504715)CaDiCaL version: 2.1.3
% 15.68/3.12 % (2504715)Termination reason: Instruction limit
% 15.68/3.12 % (2504715)Termination phase: Saturation
% 15.68/3.12 % (2504715)Time elapsed: 0.057 s
% 15.68/3.12 % (2504715)Peak memory usage: 88 MB
% 15.68/3.12 % (2504715)Instructions burned: 107 (million)
% 15.68/3.12 % (2504708)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3373872871:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 15.68/3.12 % (2504717)Instruction limit reached!
% 15.68/3.12 % (2504717)------------------------------
% 15.68/3.12 % (2504717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/3.12 % (2504717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/3.12 % (2504717)CaDiCaL version: 2.1.3
% 15.68/3.12 % (2504717)Termination reason: Instruction limit
% 15.68/3.12 % (2504717)Termination phase: Saturation
% 15.68/3.12 % (2504717)Time elapsed: 0.103 s
% 15.68/3.12 % (2504717)Peak memory usage: 89 MB
% 15.68/3.12 % (2504717)Instructions burned: 182 (million)
% 15.68/3.12 % (2504725)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=792915911:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 15.68/3.12 % (2504725)Refutation not found, incomplete strategy
% 15.68/3.12 % (2504725)------------------------------
% 15.68/3.12 % (2504725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/3.12 % (2504725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/3.12 % (2504725)CaDiCaL version: 2.1.3
% 15.68/3.12 % (2504725)Termination reason: Refutation not found, incomplete strategy
% 15.68/3.12 % (2504725)Time elapsed: 0.001 s
% 15.68/3.12 % (2504725)Peak memory usage: 88 MB
% 15.68/3.12 % (2504725)Instructions burned: 1 (million)
% 15.68/3.12 % (2504726)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2992991048:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 16.40/3.20 % (2504718)------------------------------
% 16.40/3.20 % (2504718)------------------------------
% 16.40/3.20 % (2504725)------------------------------
% 16.40/3.20 % (2504725)------------------------------
% 16.40/3.20 % (2504728)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3832945763:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 16.40/3.20 % (2504728)Refutation not found, incomplete strategy
% 16.40/3.20 % (2504728)------------------------------
% 16.40/3.20 % (2504728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.40/3.20 % (2504728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.40/3.20 % (2504728)CaDiCaL version: 2.1.3
% 16.40/3.20 % (2504728)Termination reason: Refutation not found, incomplete strategy
% 16.40/3.20 % (2504728)Time elapsed: 0.001 s
% 16.40/3.20 % (2504728)Peak memory usage: 87 MB
% 16.40/3.20 % (2504728)Instructions burned: 1 (million)
% 16.40/3.20 % (2504726)Instruction limit reached!
% 16.40/3.20 % (2504726)------------------------------
% 16.40/3.20 % (2504726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.40/3.20 % (2504726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.40/3.20 % (2504726)CaDiCaL version: 2.1.3
% 16.40/3.20 % (2504726)Termination reason: Instruction limit
% 16.40/3.20 % (2504726)Termination phase: Saturation
% 16.40/3.20 % (2504726)Time elapsed: 0.108 s
% 16.40/3.20 % (2504726)Peak memory usage: 89 MB
% 16.40/3.20 % (2504726)Instructions burned: 189 (million)
% 16.40/3.20 % (2504731)lrs+10_64_to=lpo:sil=8000:random_seed=161807999:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 16.40/3.20 % (2504733)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1464558681:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 16.40/3.20 % (2504731)Instruction limit reached!
% 16.40/3.20 % (2504731)------------------------------
% 16.40/3.20 % (2504731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.40/3.20 % (2504731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.40/3.20 % (2504731)CaDiCaL version: 2.1.3
% 16.40/3.20 % (2504731)Termination reason: Instruction limit
% 16.40/3.20 % (2504731)Termination phase: Saturation
% 16.40/3.20 % (2504731)Time elapsed: 0.089 s
% 16.40/3.20 % (2504731)Peak memory usage: 88 MB
% 16.40/3.20 % (2504731)Instructions burned: 126 (million)
% 16.40/3.20 % (2504733)Instruction limit reached!
% 16.40/3.20 % (2504733)------------------------------
% 16.40/3.20 % (2504733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.40/3.20 % (2504733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.40/3.20 % (2504733)CaDiCaL version: 2.1.3
% 16.40/3.20 % (2504733)Termination reason: Instruction limit
% 16.40/3.20 % (2504733)Termination phase: Saturation
% 16.40/3.20 % (2504733)Time elapsed: 0.091 s
% 16.40/3.20 % (2504733)Peak memory usage: 89 MB
% 16.40/3.20 % (2504733)Instructions burned: 196 (million)
% 16.40/3.20 % (2504734)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3013130273:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 16.40/3.20 % (2504728)------------------------------
% 16.40/3.20 % (2504728)------------------------------
% 16.40/3.20 % (2504746)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3288744080:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 16.40/3.20 % (2504746)Instruction limit reached!
% 16.40/3.20 % (2504746)------------------------------
% 16.40/3.20 % (2504746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.40/3.20 % (2504746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.40/3.20 % (2504746)CaDiCaL version: 2.1.3
% 16.40/3.20 % (2504746)Termination reason: Instruction limit
% 16.40/3.20 % (2504746)Termination phase: Saturation
% 16.40/3.20 % (2504746)Time elapsed: 0.053 s
% 16.40/3.20 % (2504746)Peak memory usage: 88 MB
% 16.40/3.20 % (2504746)Instructions burned: 107 (million)
% 16.40/3.20 % (2504745)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1628063461:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 16.40/3.20 % (2504734)Instruction limit reached!
% 16.40/3.20 % (2504734)------------------------------
% 16.40/3.20 % (2504734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.40/3.20 % (2504734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.40/3.20 % (2504734)CaDiCaL version: 2.1.3
% 16.40/3.20 % (2504734)Termination reason: Instruction limit
% 16.40/3.20 % (2504734)Termination phase: Saturation
% 16.40/3.20 % (2504734)Time elapsed: 0.158 s
% 16.40/3.20 % (2504734)Peak memory usage: 90 MB
% 16.40/3.20 % (2504734)Instructions burned: 159 (million)
% 16.40/3.20 % (2504755)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2511907861:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 16.40/3.20 % (2504755)Refutation not found, incomplete strategy
% 16.40/3.20 % (2504755)------------------------------
% 16.40/3.20 % (2504755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.40/3.20 % (2504755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.40/3.20 % (2504755)CaDiCaL version: 2.1.3
% 16.40/3.20 % (2504755)Termination reason: Refutation not found, incomplete strategy
% 16.40/3.20 % (2504755)Time elapsed: 0.002 s
% 16.40/3.20 % (2504755)Peak memory usage: 88 MB
% 16.40/3.20 % (2504755)Instructions burned: 1 (million)
% 16.40/3.20 % (2504759)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3917382493:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 16.40/3.20 % (2504761)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=584860777:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 16.40/3.20 % (2504759)Instruction limit reached!
% 16.40/3.20 % (2504759)------------------------------
% 16.40/3.20 % (2504759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.40/3.20 % (2504759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.40/3.20 % (2504759)CaDiCaL version: 2.1.3
% 16.40/3.20 % (2504759)Termination reason: Instruction limit
% 16.40/3.20 % (2504759)Termination phase: Saturation
% 16.40/3.20 % (2504759)Time elapsed: 0.226 s
% 16.40/3.20 % (2504759)Peak memory usage: 90 MB
% 16.40/3.20 % (2504759)Instructions burned: 242 (million)
% 16.40/3.20 % (2504755)------------------------------
% 16.40/3.20 % (2504755)------------------------------
% 16.40/3.20 % (2504770)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2264443598:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 16.40/3.20 % (2504770)Instruction limit reached!
% 16.40/3.20 % (2504770)------------------------------
% 16.40/3.20 % (2504770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.40/3.20 % (2504770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.40/3.20 % (2504770)CaDiCaL version: 2.1.3
% 16.40/3.20 % (2504770)Termination reason: Instruction limit
% 16.40/3.20 % (2504770)Termination phase: Saturation
% 16.40/3.20 % (2504770)Time elapsed: 0.069 s
% 16.40/3.20 % (2504770)Peak memory usage: 88 MB
% 16.40/3.20 % (2504770)Instructions burned: 136 (million)
% 16.40/3.20 % (2504772)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1797007976:i=499:bd=all_2985 on theBenchmark for (2985ds/499Mi)
% 16.40/3.20 % (2504775)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=39899432:i=191:fgj=on:bd=all_2983 on theBenchmark for (2983ds/191Mi)
% 16.40/3.20 % (2504775)Instruction limit reached!
% 16.40/3.20 % (2504775)------------------------------
% 16.40/3.20 % (2504775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.40/3.20 % (2504775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.40/3.20 % (2504775)CaDiCaL version: 2.1.3
% 16.40/3.20 % (2504775)Termination reason: Instruction limit
% 16.40/3.20 % (2504775)Termination phase: Saturation
% 16.40/3.20 % (2504775)Time elapsed: 0.100 s
% 16.40/3.20 % (2504775)Peak memory usage: 90 MB
% 16.40/3.20 % (2504775)Instructions burned: 192 (million)
% 16.40/3.20 % (2504772)First to succeed.
% 16.40/3.20 % (2504772)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2504637"
% 16.40/3.20 % (2504782)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1795208862:i=264:kws=precedence:fsr=off_2981 on theBenchmark for (2981ds/264Mi)
% 16.40/3.20 % (2504782)Instruction limit reached!
% 16.40/3.20 % (2504782)------------------------------
% 16.40/3.20 % (2504782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.40/3.20 % (2504782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.40/3.20 % (2504782)CaDiCaL version: 2.1.3
% 16.40/3.20 % (2504782)Termination reason: Instruction limit
% 16.40/3.20 % (2504782)Termination phase: Saturation
% 16.40/3.20 % (2504782)Time elapsed: 0.130 s
% 16.40/3.20 % (2504782)Peak memory usage: 91 MB
% 16.40/3.20 % (2504782)Instructions burned: 265 (million)
% 16.40/3.20 % (2504772)Refutation found. Thanks to Tanya!
% 16.40/3.20 % SZS status Unsatisfiable for theBenchmark
% 16.40/3.20 % SZS output start Proof for theBenchmark
% See solution above
% 16.88/3.39 % (2504772)------------------------------
% 16.88/3.39 % (2504772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.39 % (2504772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.39 % (2504772)CaDiCaL version: 2.1.3
% 16.88/3.39 % (2504772)Termination reason: Refutation
% 16.88/3.39 % (2504772)Time elapsed: 0.200 s
% 16.88/3.39 % (2504772)Peak memory usage: 90 MB
% 16.88/3.39 % (2504772)Instructions burned: 252 (million)
% 16.88/3.39 % (2504772)------------------------------
% 16.88/3.39 % (2504772)------------------------------
% 16.88/3.39 % (2504637)Success in time 2.322 s
% 16.88/3.39 % Vampire exiting
%------------------------------------------------------------------------------