%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG029-3 : TPTP v9.3.1. Bugfixed v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:35:13 PM UTC 2026
% Result : Unsatisfiable 5.27s 1.65s
% Output : Refutation 6.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 12
% Syntax : Number of formulae : 64 ( 63 unt; 0 def)
% Number of atoms : 65 ( 64 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 15 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 139 ( 139 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f9,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
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(f14,axiom,
! [X0,X1] : multiply(additive_inverse(X0),X1) = additive_inverse(multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_product1) ).
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(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(f24,axiom,
! [X2,X0,X1] : multiply(multiply(X0,multiply(X1,X0)),X2) = multiply(X0,multiply(X1,multiply(X0,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_moufang) ).
fof(f25,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(f28,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(f29,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(f30,negated_conjecture,
multiply(multiply(cx,cy),multiply(cz,cx)) != multiply(cx,multiply(multiply(cy,cz),cx)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_middle_law) ).
fof(f31,plain,
! [X2,X0,X1] : add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))) = additive_inverse(add(multiply(multiply(X1,X0),X2),additive_inverse(multiply(X1,multiply(X0,X2))))),
inference(definition_unfolding,[],[f28,f25,f25]) ).
fof(f32,plain,
! [X2,X0,X1] : add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))) = additive_inverse(add(multiply(multiply(X2,X1),X0),additive_inverse(multiply(X2,multiply(X1,X0))))),
inference(definition_unfolding,[],[f29,f25,f25]) ).
fof(f33,plain,
! [X0,X1] : multiply(additive_inverse(X0),X1) = multiply(X0,additive_inverse(X1)),
inference(forward_demodulation,[],[f14,f16]) ).
fof(f514,plain,
! [X2,X0,X1] : add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))) = add(multiply(multiply(X1,X2),X0),additive_inverse(multiply(X1,multiply(X2,X0)))),
inference(superposition,[],[f31,f32]) ).
fof(f520,plain,
! [X2,X0,X1] : add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))) = add(multiply(multiply(X1,X2),X0),multiply(X1,additive_inverse(multiply(X2,X0)))),
inference(forward_demodulation,[],[f514,f16]) ).
fof(f545,plain,
! [X2,X0,X1] : add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))) = add(multiply(multiply(X1,X2),X0),multiply(X1,multiply(X2,additive_inverse(X0)))),
inference(forward_demodulation,[],[f520,f16]) ).
fof(f569,plain,
! [X2,X0,X1] : add(multiply(multiply(X0,X1),X2),multiply(X0,additive_inverse(multiply(X1,X2)))) = add(multiply(multiply(X1,X2),X0),multiply(X1,multiply(X2,additive_inverse(X0)))),
inference(forward_demodulation,[],[f545,f16]) ).
fof(f593,plain,
! [X2,X0,X1] : add(multiply(multiply(X0,X1),X2),multiply(X0,multiply(X1,additive_inverse(X2)))) = add(multiply(multiply(X1,X2),X0),multiply(X1,multiply(X2,additive_inverse(X0)))),
inference(forward_demodulation,[],[f569,f16]) ).
fof(f681,plain,
! [X0,X1] : additive_inverse(add(X1,additive_inverse(X0))) = add(additive_inverse(X1),X0),
inference(superposition,[],[f8,f9]) ).
fof(f729,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),additive_inverse(X2)) = multiply(multiply(X0,additive_inverse(X1)),X2),
inference(superposition,[],[f33,f16]) ).
fof(f741,plain,
! [X2,X0,X1] : add(multiply(multiply(additive_inverse(X0),X2),X1),additive_inverse(multiply(additive_inverse(X0),multiply(X2,X1)))) = additive_inverse(add(multiply(multiply(X2,additive_inverse(X0)),X1),additive_inverse(multiply(X2,multiply(X0,additive_inverse(X1)))))),
inference(superposition,[],[f31,f33]) ).
fof(f744,plain,
! [X2,X0,X1] : additive_inverse(add(multiply(multiply(X2,additive_inverse(X0)),X1),additive_inverse(multiply(X2,multiply(X0,additive_inverse(X1)))))) = add(multiply(multiply(X1,additive_inverse(X0)),X2),additive_inverse(multiply(X1,multiply(additive_inverse(X0),X2)))),
inference(superposition,[],[f32,f33]) ).
fof(f757,plain,
! [X2,X0,X1] : additive_inverse(add(multiply(multiply(X2,additive_inverse(X0)),X1),additive_inverse(multiply(X2,multiply(X0,additive_inverse(X1)))))) = add(multiply(multiply(X1,additive_inverse(X0)),X2),multiply(X1,additive_inverse(multiply(additive_inverse(X0),X2)))),
inference(forward_demodulation,[],[f744,f16]) ).
fof(f760,plain,
! [X2,X0,X1] : add(multiply(multiply(additive_inverse(X0),X2),X1),additive_inverse(multiply(additive_inverse(X0),multiply(X2,X1)))) = add(additive_inverse(multiply(multiply(X2,additive_inverse(X0)),X1)),multiply(X2,multiply(X0,additive_inverse(X1)))),
inference(forward_demodulation,[],[f741,f681]) ).
fof(f779,plain,
! [X2,X0,X1] : additive_inverse(add(multiply(multiply(X2,additive_inverse(X0)),X1),additive_inverse(multiply(X2,multiply(X0,additive_inverse(X1)))))) = add(multiply(multiply(X1,additive_inverse(X0)),X2),multiply(X1,multiply(additive_inverse(X0),additive_inverse(X2)))),
inference(forward_demodulation,[],[f757,f16]) ).
fof(f782,plain,
! [X2,X0,X1] : add(multiply(multiply(additive_inverse(X0),X2),X1),additive_inverse(multiply(additive_inverse(X0),multiply(X2,X1)))) = add(multiply(X2,multiply(X0,additive_inverse(X1))),additive_inverse(multiply(multiply(X2,additive_inverse(X0)),X1))),
inference(forward_demodulation,[],[f760,f19]) ).
fof(f799,plain,
! [X2,X0,X1] : additive_inverse(add(multiply(multiply(X2,additive_inverse(X0)),X1),additive_inverse(multiply(X2,multiply(X0,additive_inverse(X1)))))) = add(multiply(multiply(X1,additive_inverse(X0)),X2),multiply(X1,multiply(X0,additive_inverse(additive_inverse(X2))))),
inference(forward_demodulation,[],[f779,f33]) ).
fof(f802,plain,
! [X2,X0,X1] : add(multiply(multiply(additive_inverse(X0),X2),X1),additive_inverse(multiply(additive_inverse(X0),multiply(X2,X1)))) = add(multiply(X2,multiply(X0,additive_inverse(X1))),multiply(multiply(X2,additive_inverse(X0)),additive_inverse(X1))),
inference(forward_demodulation,[],[f782,f16]) ).
fof(f818,plain,
! [X2,X0,X1] : additive_inverse(add(multiply(multiply(X2,additive_inverse(X0)),X1),additive_inverse(multiply(X2,multiply(X0,additive_inverse(X1)))))) = add(multiply(multiply(X1,additive_inverse(X0)),X2),multiply(X1,multiply(X0,X2))),
inference(forward_demodulation,[],[f799,f9]) ).
fof(f821,plain,
! [X2,X0,X1] : add(multiply(multiply(additive_inverse(X0),X2),X1),additive_inverse(multiply(additive_inverse(X0),multiply(X2,X1)))) = add(multiply(X2,multiply(X0,additive_inverse(X1))),multiply(multiply(X2,X0),additive_inverse(additive_inverse(X1)))),
inference(forward_demodulation,[],[f802,f729]) ).
fof(f834,plain,
! [X2,X0,X1] : additive_inverse(add(multiply(multiply(X2,additive_inverse(X0)),X1),additive_inverse(multiply(X2,multiply(X0,additive_inverse(X1)))))) = add(multiply(X1,multiply(X0,X2)),multiply(multiply(X1,additive_inverse(X0)),X2)),
inference(forward_demodulation,[],[f818,f19]) ).
fof(f837,plain,
! [X2,X0,X1] : add(multiply(multiply(additive_inverse(X0),X2),X1),additive_inverse(multiply(additive_inverse(X0),multiply(X2,X1)))) = add(multiply(X2,multiply(X0,additive_inverse(X1))),multiply(multiply(X2,X0),X1)),
inference(forward_demodulation,[],[f821,f9]) ).
fof(f848,plain,
! [X2,X0,X1] : add(multiply(X1,multiply(X0,X2)),multiply(multiply(X1,X0),additive_inverse(X2))) = additive_inverse(add(multiply(multiply(X2,additive_inverse(X0)),X1),additive_inverse(multiply(X2,multiply(X0,additive_inverse(X1)))))),
inference(forward_demodulation,[],[f834,f729]) ).
fof(f851,plain,
! [X2,X0,X1] : add(multiply(multiply(X2,X0),X1),multiply(X2,multiply(X0,additive_inverse(X1)))) = add(multiply(multiply(additive_inverse(X0),X2),X1),additive_inverse(multiply(additive_inverse(X0),multiply(X2,X1)))),
inference(forward_demodulation,[],[f837,f19]) ).
fof(f859,plain,
! [X2,X0,X1] : add(multiply(X1,multiply(X0,X2)),multiply(multiply(X1,X0),additive_inverse(X2))) = add(additive_inverse(multiply(multiply(X2,additive_inverse(X0)),X1)),multiply(X2,multiply(X0,additive_inverse(X1)))),
inference(forward_demodulation,[],[f848,f681]) ).
fof(f862,plain,
! [X2,X0,X1] : add(multiply(multiply(X2,X0),X1),multiply(X2,multiply(X0,additive_inverse(X1)))) = add(multiply(multiply(additive_inverse(X0),X2),X1),multiply(additive_inverse(X0),additive_inverse(multiply(X2,X1)))),
inference(forward_demodulation,[],[f851,f16]) ).
fof(f868,plain,
! [X2,X0,X1] : add(multiply(X1,multiply(X0,X2)),multiply(multiply(X1,X0),additive_inverse(X2))) = add(multiply(X2,multiply(X0,additive_inverse(X1))),additive_inverse(multiply(multiply(X2,additive_inverse(X0)),X1))),
inference(forward_demodulation,[],[f859,f19]) ).
fof(f871,plain,
! [X2,X0,X1] : add(multiply(multiply(X2,X0),X1),multiply(X2,multiply(X0,additive_inverse(X1)))) = add(multiply(multiply(additive_inverse(X0),X2),X1),multiply(X0,additive_inverse(additive_inverse(multiply(X2,X1))))),
inference(forward_demodulation,[],[f862,f33]) ).
fof(f877,plain,
! [X2,X0,X1] : add(multiply(X1,multiply(X0,X2)),multiply(multiply(X1,X0),additive_inverse(X2))) = add(multiply(X2,multiply(X0,additive_inverse(X1))),multiply(multiply(X2,additive_inverse(X0)),additive_inverse(X1))),
inference(forward_demodulation,[],[f868,f16]) ).
fof(f880,plain,
! [X2,X0,X1] : add(multiply(multiply(X2,X0),X1),multiply(X2,multiply(X0,additive_inverse(X1)))) = add(multiply(multiply(additive_inverse(X0),X2),X1),multiply(X0,multiply(X2,X1))),
inference(forward_demodulation,[],[f871,f9]) ).
fof(f886,plain,
! [X2,X0,X1] : add(multiply(X1,multiply(X0,X2)),multiply(multiply(X1,X0),additive_inverse(X2))) = add(multiply(X2,multiply(X0,additive_inverse(X1))),multiply(multiply(X2,X0),additive_inverse(additive_inverse(X1)))),
inference(forward_demodulation,[],[f877,f729]) ).
fof(f888,plain,
! [X2,X0,X1] : add(multiply(multiply(X2,X0),X1),multiply(X2,multiply(X0,additive_inverse(X1)))) = add(multiply(X0,multiply(X2,X1)),multiply(multiply(additive_inverse(X0),X2),X1)),
inference(forward_demodulation,[],[f880,f19]) ).
fof(f894,plain,
! [X2,X0,X1] : add(multiply(X1,multiply(X0,X2)),multiply(multiply(X1,X0),additive_inverse(X2))) = add(multiply(X2,multiply(X0,additive_inverse(X1))),multiply(multiply(X2,X0),X1)),
inference(forward_demodulation,[],[f886,f9]) ).
fof(f896,plain,
! [X2,X0,X1] : add(multiply(multiply(X2,X0),X1),multiply(X2,multiply(X0,additive_inverse(X1)))) = add(multiply(X0,multiply(X2,X1)),multiply(multiply(X0,additive_inverse(X2)),X1)),
inference(forward_demodulation,[],[f888,f33]) ).
fof(f901,plain,
! [X2,X0,X1] : add(multiply(X1,multiply(X0,X2)),multiply(multiply(X1,X0),additive_inverse(X2))) = add(multiply(multiply(X2,X0),X1),multiply(X2,multiply(X0,additive_inverse(X1)))),
inference(forward_demodulation,[],[f894,f19]) ).
fof(f903,plain,
! [X2,X0,X1] : add(multiply(multiply(X2,X0),X1),multiply(X2,multiply(X0,additive_inverse(X1)))) = add(multiply(X0,multiply(X2,X1)),multiply(multiply(X0,X2),additive_inverse(X1))),
inference(forward_demodulation,[],[f896,f729]) ).
fof(f1327,plain,
! [X2,X0,X1] : add(multiply(X0,multiply(X1,X2)),multiply(multiply(X0,X1),additive_inverse(X2))) = add(multiply(X2,multiply(X0,X1)),multiply(multiply(X2,X0),additive_inverse(X1))),
inference(superposition,[],[f901,f903]) ).
fof(f1474,plain,
! [X0] : add(multiply(multiply(cx,cy),multiply(cz,cx)),X0) != add(multiply(cx,multiply(multiply(cy,cz),cx)),X0),
inference(unit_resulting_resolution,[],[f21,f30]) ).
fof(f5436,plain,
add(multiply(cx,multiply(multiply(cy,cz),cx)),multiply(cx,multiply(cy,additive_inverse(multiply(cz,cx))))) != add(multiply(cy,multiply(cx,multiply(cz,cx))),multiply(multiply(cy,cx),additive_inverse(multiply(cz,cx)))),
inference(superposition,[],[f1474,f903]) ).
fof(f5454,plain,
add(multiply(cx,multiply(multiply(cy,cz),cx)),multiply(cx,multiply(cy,additive_inverse(multiply(cz,cx))))) != add(multiply(cx,multiply(multiply(cz,cx),cy)),multiply(multiply(cx,multiply(cz,cx)),additive_inverse(cy))),
inference(forward_demodulation,[],[f5436,f1327]) ).
fof(f5461,plain,
add(multiply(cx,multiply(multiply(cy,cz),cx)),multiply(cx,multiply(cy,additive_inverse(multiply(cz,cx))))) != add(multiply(cx,multiply(multiply(cz,cx),cy)),multiply(cx,multiply(cz,multiply(cx,additive_inverse(cy))))),
inference(forward_demodulation,[],[f5454,f24]) ).
fof(f5464,plain,
add(multiply(cx,multiply(multiply(cy,cz),cx)),multiply(cx,multiply(cy,additive_inverse(multiply(cz,cx))))) != multiply(cx,add(multiply(multiply(cz,cx),cy),multiply(cz,multiply(cx,additive_inverse(cy))))),
inference(forward_demodulation,[],[f5461,f10]) ).
fof(f5465,plain,
add(multiply(cx,multiply(multiply(cy,cz),cx)),multiply(cx,multiply(cy,additive_inverse(multiply(cz,cx))))) != multiply(cx,add(multiply(multiply(cx,cy),cz),multiply(cx,multiply(cy,additive_inverse(cz))))),
inference(forward_demodulation,[],[f5464,f593]) ).
fof(f5466,plain,
add(multiply(cx,multiply(multiply(cy,cz),cx)),multiply(cx,multiply(cy,additive_inverse(multiply(cz,cx))))) != multiply(cx,add(multiply(cz,multiply(cy,cx)),multiply(multiply(cz,cy),additive_inverse(cx)))),
inference(forward_demodulation,[],[f5465,f901]) ).
fof(f5467,plain,
add(multiply(cx,multiply(multiply(cy,cz),cx)),multiply(cx,multiply(cy,additive_inverse(multiply(cz,cx))))) != multiply(cx,add(multiply(cx,multiply(cz,cy)),multiply(multiply(cx,cz),additive_inverse(cy)))),
inference(forward_demodulation,[],[f5466,f1327]) ).
fof(f5468,plain,
multiply(cx,add(multiply(cx,multiply(cz,cy)),multiply(multiply(cx,cz),additive_inverse(cy)))) != multiply(cx,add(multiply(multiply(cy,cz),cx),multiply(cy,additive_inverse(multiply(cz,cx))))),
inference(forward_demodulation,[],[f5467,f10]) ).
fof(f5469,plain,
multiply(cx,add(multiply(cx,multiply(cz,cy)),multiply(multiply(cx,cz),additive_inverse(cy)))) != multiply(cx,add(multiply(multiply(cy,cz),cx),multiply(cy,multiply(cz,additive_inverse(cx))))),
inference(forward_demodulation,[],[f5468,f16]) ).
fof(f5470,plain,
multiply(cx,add(multiply(multiply(cx,cy),cz),multiply(cx,multiply(cy,additive_inverse(cz))))) != multiply(cx,add(multiply(cx,multiply(cz,cy)),multiply(multiply(cx,cz),additive_inverse(cy)))),
inference(forward_demodulation,[],[f5469,f593]) ).
fof(f5471,plain,
multiply(cx,add(multiply(cz,multiply(cy,cx)),multiply(multiply(cz,cy),additive_inverse(cx)))) != multiply(cx,add(multiply(cx,multiply(cz,cy)),multiply(multiply(cx,cz),additive_inverse(cy)))),
inference(forward_demodulation,[],[f5470,f901]) ).
fof(f5472,plain,
multiply(cx,add(multiply(cx,multiply(cz,cy)),multiply(multiply(cx,cz),additive_inverse(cy)))) != multiply(cx,add(multiply(cx,multiply(cz,cy)),multiply(multiply(cx,cz),additive_inverse(cy)))),
inference(forward_demodulation,[],[f5471,f1327]) ).
fof(f5473,plain,
$false,
inference(trivial_inequality_removal,[],[f5472]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG029-3 : TPTP v9.3.1. Bugfixed v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 23:00:46 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 5.27/1.65 % (1272046)Input is clausal, will run a generic CNF schedule.
% 5.27/1.65 % (1272052)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1944908921:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.27/1.65 % (1272057)dis-21_1_sil=8000:lcm=predicate:random_seed=3939696983: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)
% 5.27/1.65 % (1272057)Refutation not found, incomplete strategy
% 5.27/1.65 % (1272057)------------------------------
% 5.27/1.65 % (1272057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.65 % (1272057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.65 % (1272057)CaDiCaL version: 2.1.3
% 5.27/1.65 % (1272057)Termination reason: Refutation not found, incomplete strategy
% 5.27/1.65 % (1272057)Time elapsed: 0.002 s
% 5.27/1.65 % (1272057)Peak memory usage: 88 MB
% 5.27/1.65 % (1272057)Instructions burned: 1 (million)
% 5.27/1.65 % (1272051)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=2727339858:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.27/1.65 % (1272054)lrs+10_1_sil=8000:sp=occurrence:random_seed=4000316415:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.27/1.65 % (1272055)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=47373822:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.27/1.65 % (1272053)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=756741330:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.27/1.65 % (1272056)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2296731477:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.27/1.65 % (1272054)Instruction limit reached!
% 5.27/1.65 % (1272054)------------------------------
% 5.27/1.65 % (1272054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.65 % (1272054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.65 % (1272054)CaDiCaL version: 2.1.3
% 5.27/1.65 % (1272054)Termination reason: Instruction limit
% 5.27/1.65 % (1272054)Termination phase: Saturation
% 5.27/1.65 % (1272054)Time elapsed: 0.061 s
% 5.27/1.65 % (1272054)Peak memory usage: 88 MB
% 5.27/1.65 % (1272054)Instructions burned: 109 (million)
% 5.27/1.65 % (1272055)Instruction limit reached!
% 5.27/1.65 % (1272055)------------------------------
% 5.27/1.65 % (1272055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.65 % (1272055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.65 % (1272055)CaDiCaL version: 2.1.3
% 5.27/1.65 % (1272055)Termination reason: Instruction limit
% 5.27/1.65 % (1272055)Termination phase: Saturation
% 5.27/1.65 % (1272055)Time elapsed: 0.069 s
% 5.27/1.65 % (1272055)Peak memory usage: 89 MB
% 5.27/1.65 % (1272055)Instructions burned: 114 (million)
% 5.27/1.65 % (1272056)Instruction limit reached!
% 5.27/1.65 % (1272056)------------------------------
% 5.27/1.65 % (1272056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.65 % (1272056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.65 % (1272056)CaDiCaL version: 2.1.3
% 5.27/1.65 % (1272056)Termination reason: Instruction limit
% 5.27/1.65 % (1272056)Termination phase: Saturation
% 5.27/1.65 % (1272056)Time elapsed: 0.107 s
% 5.27/1.65 % (1272056)Peak memory usage: 89 MB
% 5.27/1.65 % (1272056)Instructions burned: 181 (million)
% 5.27/1.65 % (1272065)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=3661123960:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.27/1.65 % (1272066)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=153302646: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)
% 5.27/1.65 % (1272057)------------------------------
% 5.27/1.65 % (1272057)------------------------------
% 5.27/1.65 % (1272067)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2042498716:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.27/1.65 % (1272065)Instruction limit reached!
% 5.27/1.65 % (1272065)------------------------------
% 5.27/1.65 % (1272065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.65 % (1272065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.65 % (1272065)CaDiCaL version: 2.1.3
% 5.27/1.65 % (1272065)Termination reason: Instruction limit
% 5.27/1.65 % (1272065)Termination phase: Saturation
% 5.27/1.65 % (1272065)Time elapsed: 0.074 s
% 5.27/1.65 % (1272065)Peak memory usage: 89 MB
% 5.27/1.65 % (1272065)Instructions burned: 143 (million)
% 5.27/1.65 % (1272066)Instruction limit reached!
% 5.27/1.65 % (1272066)------------------------------
% 5.27/1.65 % (1272066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.65 % (1272066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.65 % (1272066)CaDiCaL version: 2.1.3
% 5.27/1.65 % (1272066)Termination reason: Instruction limit
% 5.27/1.65 % (1272066)Termination phase: Saturation
% 5.27/1.65 % (1272066)Time elapsed: 0.117 s
% 5.27/1.65 % (1272066)Peak memory usage: 90 MB
% 5.27/1.65 % (1272066)Instructions burned: 189 (million)
% 5.27/1.65 % (1272070)lrs+10_64_to=lpo:sil=8000:random_seed=2739930929:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.27/1.65 % (1272067)Instruction limit reached!
% 5.27/1.65 % (1272067)------------------------------
% 5.27/1.65 % (1272067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.65 % (1272067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.65 % (1272067)CaDiCaL version: 2.1.3
% 5.27/1.65 % (1272067)Termination reason: Instruction limit
% 5.27/1.65 % (1272067)Termination phase: Saturation
% 5.27/1.65 % (1272067)Time elapsed: 0.135 s
% 5.27/1.65 % (1272067)Peak memory usage: 90 MB
% 5.27/1.65 % (1272067)Instructions burned: 219 (million)
% 5.27/1.65 % (1272072)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4173041627:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.27/1.65 % (1272073)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3734250036:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.27/1.65 % (1272070)Instruction limit reached!
% 5.27/1.65 % (1272070)------------------------------
% 5.27/1.65 % (1272070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.65 % (1272070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.65 % (1272070)CaDiCaL version: 2.1.3
% 5.27/1.65 % (1272070)Termination reason: Instruction limit
% 5.27/1.65 % (1272070)Termination phase: Saturation
% 5.27/1.65 % (1272070)Time elapsed: 0.074 s
% 5.27/1.65 % (1272070)Peak memory usage: 88 MB
% 5.27/1.65 % (1272070)Instructions burned: 128 (million)
% 5.27/1.65 % (1272052)First to succeed.
% 5.27/1.65 % (1272052)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1272046"
% 5.27/1.65 % (1272072)Instruction limit reached!
% 5.27/1.65 % (1272072)------------------------------
% 5.27/1.65 % (1272072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.65 % (1272072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.65 % (1272072)CaDiCaL version: 2.1.3
% 5.27/1.65 % (1272072)Termination reason: Instruction limit
% 5.27/1.65 % (1272072)Termination phase: Saturation
% 5.27/1.65 % (1272072)Time elapsed: 0.116 s
% 5.27/1.65 % (1272072)Peak memory usage: 89 MB
% 5.27/1.65 % (1272072)Instructions burned: 194 (million)
% 5.27/1.65 % (1272075)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3040850617:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.27/1.65 % (1272073)Instruction limit reached!
% 5.27/1.65 % (1272073)------------------------------
% 5.27/1.65 % (1272073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.65 % (1272073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.65 % (1272073)CaDiCaL version: 2.1.3
% 5.27/1.65 % (1272073)Termination reason: Instruction limit
% 5.27/1.65 % (1272073)Termination phase: Saturation
% 5.27/1.65 % (1272073)Time elapsed: 0.094 s
% 5.27/1.65 % (1272073)Peak memory usage: 90 MB
% 5.27/1.65 % (1272073)Instructions burned: 158 (million)
% 5.27/1.65 % (1272078)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=523808083:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 5.27/1.65 % (1272078)Instruction limit reached!
% 5.27/1.65 % (1272078)------------------------------
% 5.27/1.65 % (1272078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.65 % (1272078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.65 % (1272078)CaDiCaL version: 2.1.3
% 5.27/1.65 % (1272078)Termination reason: Instruction limit
% 5.27/1.65 % (1272078)Termination phase: Saturation
% 5.27/1.65 % (1272078)Time elapsed: 0.060 s
% 5.27/1.65 % (1272078)Peak memory usage: 88 MB
% 5.27/1.65 % (1272078)Instructions burned: 107 (million)
% 5.27/1.65 % (1272052)Refutation found. Thanks to Tanya!
% 5.27/1.65 % SZS status Unsatisfiable for theBenchmark
% 5.27/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 6.30/1.84 % (1272052)------------------------------
% 6.30/1.84 % (1272052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.84 % (1272052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.84 % (1272052)CaDiCaL version: 2.1.3
% 6.30/1.84 % (1272052)Termination reason: Refutation
% 6.30/1.84 % (1272052)Time elapsed: 0.544 s
% 6.30/1.84 % (1272052)Peak memory usage: 135 MB
% 6.30/1.84 % (1272052)Instructions burned: 1596 (million)
% 6.30/1.84 % (1272052)------------------------------
% 6.30/1.84 % (1272052)------------------------------
% 6.30/1.84 % (1272046)Success in time 0.808 s
% 6.30/1.84 % Vampire exiting
%------------------------------------------------------------------------------